What is the shape of each cut surface? What are its dimensions?

Answers

Answer 1

Answer:

1. The shape of each cut surface is the same shape as the base it is parallel to: a rectangle. It is an 8" by 10" rectangle

Step-by-step explanation:


Related Questions

Identify the terms of the expression. Then give the coefficient of each term.
k - 3d

Answers

Answer:

Step-by-step explanation:

The expression k - 3d has two terms: k and -3d.

The coefficient of the term k is 1, because k can be written as 1k, and the coefficient of a term without a numerical coefficient is always 1.

The coefficient of the term -3d is -3, because -3d can be written as -3*d, and the coefficient of a term with a variable is the numerical coefficient of the variable (in this case, d) multiplied by any numerical coefficient (in this case, -3).

Total selling price $1,238.45; sales tax rate 8 1/2%. what is the sales tax?

Answers

Answer:

To find the sales tax, we need to first calculate the taxable amount.

Total selling price = $1,238.45

Sales tax rate = 8 1/2% = 8.5%

Let's assume that the sales tax is added to the selling price, which means the selling price includes the tax.

To find the taxable amount, we can divide the selling price by (1 + tax rate as a decimal):

Taxable amount = Selling price / (1 + tax rate as a decimal)

Taxable amount = $1,238.45 / (1 + 0.085)

Taxable amount = $1,238.45 / 1.085

Taxable amount = $1,140.00 (rounded to nearest dollar)

Now, to find the sales tax amount:

Sales tax = Taxable amount x tax rate as a decimal

Sales tax = $1,140.00 x 0.085

Sales tax = $97.00

Therefore, the sales tax is $97.00.

Which expression is equivalent to the expression quantity negative 6 over 5 times t plus 3 over 16 end quantity minus expression quantity negative 7 over 10 times t plus 9 over 8 end quantity

Answers

The given expression is:

-(6/5)t + 3/16 - (7/10)t + 9/8

To simplify the expression, we can combine the like terms. The like terms are the terms that have the same variable raised to the same power. Here, the like terms are the terms that involve t:

= -(6/5)t - (7/10)t + 3/16 + 9/8

= -(12/10)t - (7/10)t + 3/16 + 18/16

= -(19/10)t + 21/16

Hence, the equivalent expression is -19/10t + 21/16.

I will mark you brainiest!
Knowing that ΔQPT ≅ ΔARZ, a congruent side pair is:
A) QT ≅ AZ
B) QP ≅ AZ
C) PT ≅ AR
D) QT ≅ RZ

Answers

Answer:

Since ΔQPT ≅ ΔARZ, we know that their corresponding sides and angles are congruent.

So,

QT ≅ RZ (corresponding sides)

PT ≅ AR (corresponding sides)

QP is not congruent to AZ because they are not corresponding sides in the congruent triangles.

Therefore, the correct answer is (D) QT ≅ RZ.

Step-by-step explanation:

Answer:

Since ΔQPT ≅ ΔARZ, we know that their corresponding sides are congruent.

Step-by-step explanation:

The congruent side pair is:

A) QT ≅ AZ.

Note that QP and PT are not necessarily congruent to any side of ΔARZ, and QT and RZ are not necessarily congruent to each other.

mathhhhhhhhhhh i need help

Answers

Answer:

what in the world

Step-by-step explanation:

number 1. is c

number 2. is d

number 3. is a

number 4. is c

number 5. is b

hope this helps

I NEED HELP ON THIS PROBLEM!!!
One third of a birds eggs hatched. If 2 eggs hatched how many eggs did the bird lay

Answers

Answer:

The bird laid 6 eggs

Step-by-step explanation:

If [tex]\frac{1}{3}[/tex] of the birds egg has hatched; and if that one third is quantifiable as 2. We know that [tex]\frac{1}{3}\\[/tex] of the laid eggs (we can declare that as x) is 2.

So:

[tex]\frac{1}{3}x = 2[/tex]

Now multiply both sides by 3:

[tex]x=6[/tex]

Answer:

1 egg

Step-by-step explanation:

One third of a birds eggs hatched is the first egg. The sentence say if 2 eggs hatched how many eggs did the bird lay is the second egg. 3 eggs - 2 = 1 egg

Another Statistics Card Question

You are dealt a hand of five cards from a standard deck of 52 cards. What is the probability of being dealt three cards of one denomination and two of another?

Answers

The odds against this happening are  48:25 . For this we have to know the meaning of probability.

How to find the Probability?

I showed that out of  22100 possible deals, there are  3744 ways to get a pair and  52 ways of getting 3 of a kind that makes a total of  3796 ways to get a pair or 3 of a kind.

If we multiply this by  3! then we get  22776 possible permutations that result in 3 of a kind or in a pair.

To get the number of permutations of deals where the first two cards are a pair, we note that the first card could be any one of the  52 in the pack.

The second card must be one of the  3 remaining cards that pairs up with the first one and then there are  50 cards that could be selected for the third.

That makes a total of  52×3×50=7800 permutations.

[tex]\frac{7800}{22776} = \frac{27}{73}[/tex]

The odds against this happening are  48:25

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I need help with this please

Answers

Answer:

d. 3.5 km = 1,000 m / km = 3,500 m

A block weighing 25№ has dimensions 34cm * 25 *
10em. what is the greatest pressure and the least.
the ground?
pressure it can
exert on

Answers

As a result, the maximum pressure the block may impose on the ground angles is 25 N/cm2 and the minimum pressure is 0.029 N/cm2.

what are angles?

An angle is a shape in Euclidean geometry made composed of two rays, known as the angle's sides, that meet in the middle at a point known as the angle's vertex. Two rays can produce an angle in the plane in which they are positioned. An angle is formed when two planes collide. These are known as dihedral angles. In planar geometry, an angle is the shape formed by two rays or lines that have a common termination. The English term "angle" comes from the Latin word "angulus," which means "horn." The vertex is the common terminal of the two rays, which are known as the angle's sides.

The area of the block in touch with the ground must be considered to determine the maximum and least pressure that the block can exert on the ground.

The area in contact with the ground is the block's bottom face, which is 34 cm × 25 cm = 850 cm2.

Pressure = Weight/Area = 25 N/1 cm2 = 25 N/cm2

Pressure = Area/Weight = 25 N / 850 cm2 = 0.029 N/cm2

As a result, the maximum pressure the block may impose on the ground is 25 N/cm2 and the minimum pressure is 0.029 N/cm2.

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Simplify radical Write the solution as both a single power and a single

Answers

The solution written as both a single power and a single variable is y^4/3

What are index forms?

Index forms are defined as mathematical forms of presenting numbers too small or large in a more convenient form.

Other terms for index forms are;

Scientific notationsStandard forms.

What are radicals?

A radical is expressed with the symbol, '√' that is used to denote square root or nth roots.

From the information given, we have that;

[tex](\sqrt[3]{y^2} ) (\sqrt[6]{y^4} )[/tex]

expand the square root symbols, we have;

(y^2/3)(y^2/3)

expand the bracket and add the exponents, we have;

y^(2/3+2/3)

Add the values

y^ 4/3

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Help me finish the table please!

Answers

The completion of the table comparing simple interest with compound interest for the amount (future value) of the investment of $1,000 for the different periods is as follows:

                      Simple       Compound

                     Interest          Interest

1 year           $1,100.00      $1,100.00

2 years       $1,200.00      $1,210.00

3 years       $1,300.00       $1,331.00

4 years       $1,400.00       $1,464.10

5 years       $1,500.00       $1,610.51

What is the difference between simple interest and compound interest?

Simple interest is computed on the principal only for each period.

Compound interest is computed on both the principal and accumulated interest to determine the future value.

For instance, at the end of the first year, there is no difference between the future value based on simple interest and the compound interest.  However, differences exist from the second year because the accumulated interest is added to the principal before compound interest is determined.

The principal investment = $1,000

Interest rate = 10%

                      Simple       Compound

                     Interest          Interest

1 year           $1,100.00      $1,100.00 ($1,000 x 1.1)

2 years       $1,200.00      $1,210.00 ($1,000 x 1.21)

3 years       $1,300.00      $1,331.00 ($1,000 x 1.331)

4 years       $1,400.00      $1,464.10 ($1,000 x 1.4641

5 years      $1,500.00       $1,610.51 ($1,000 x 1.61051)

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The vertices of an isosceles trapezoid are located at (2,5), (6,5), (9,3) and:
A) (10, 5).
B) (-6, 5).
C) (-5, 3).
D) (-1, 3).

Answers

Answer:

D. (-1,3)

Step-by-step explanation:

You need to draw the figure on the graph. See attachment.

HELP ASAP
A net of a rectangular prism is shown.


A net of a rectangular prism with dimensions 5 and three-fourths centimeters by 4 centimeters by 11 and three-fourths centimeters.


What is the surface area of the prism?


five hundred fifty and one-fourth cm2

four hundred twelve and three-fourths cm2

two hundred seventy-five and one-eighth cm2

one hundred thirty-seven and nine-sixteenths

Answers

Answer:

  (c) two hundred seventy-five and one-eighth cm² = 275 1/8 cm²

Step-by-step explanation:

You want the surface area of the rectangular prism represented by the given net.

Missing dimensions

The first attachment shows the missing dimensions. The height of the vertical rectangle in the center of the net is a total of 2×(5 3/4 + 4) cm.

Area

The area is the sum of the areas of the rectangular faces of the prism. It is the sum of the individual rectangles shown in the net diagram.

This area can be computed nicely by adding the vertical dimensions and multiplying by the width of the central rectangle. Then, added to that, is the area of the two "wings" on either side of that central rectangle.

In each case, the area of a rectangle is the product of its length and width.

The second attachment shows the calculation of the total area of the figure.

The surface area of the prism is 275 1/8 square centimeters.

solve (x-3)^2(2x+5)(x-1)>= 0

Answers

To solve this inequality, we need to determine the values of x that satisfy the inequality.

First, we can find the critical values of x by setting each factor equal to zero and solving for x:

(x-3)^2 = 0 => x = 3 (double root)
2x+5 = 0 => x = -5/2
x-1 = 0 => x = 1

These critical values divide the number line into four intervals: (-infinity, -5/2), (-5/2, 1), (1, 3), and (3, infinity).

We can now test each interval to see if it satisfies the inequality. We can use a sign chart or test points within each interval to do this.

For example, in the interval (-infinity, -5/2), we can choose a test point such as x=-3 and evaluate the expression:

(x-3)^2(2x+5)(x-1) = (-6)^2(-1)(-4) = 144

Since this expression is positive, we know that this interval does not satisfy the inequality.

Using similar reasoning, we can test the other intervals and find that the solutions to the inequality are:

x <= -5/2 or 1 <= x <= 3

Therefore, the solution to the inequality is:

x ∈ (-infinity, -5/2] U [1, 3]

Answer:

x= infinite or -5/2 or 1, + infinite

Step-by-step explanation:

write the equation in standard form for the circle with center (0, -10) passing through (9/2, -16)

Answers

so we know the center and a point it passes through, so the distance from the center to that point on the circle is its radius

[tex]~~~~~~~~~~~~\textit{distance between 2 points} \\\\ (\stackrel{x_1}{0}~,~\stackrel{y_1}{-10})\qquad (\stackrel{x_2}{\frac{9}{2}}~,~\stackrel{y_2}{-16})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ \stackrel{ radius }{r}=\sqrt{(~~\frac{9}{2} - 0~~)^2 + (~~-16 - (-10)~~)^2} \implies r=\sqrt{(\frac{9}{2} )^2 + (-16 +10)^2} \\\\\\ r=\sqrt{( \frac{9}{2} )^2 + ( -6 )^2} \implies r=\sqrt{ \frac{81}{4} + 36 } \implies r=\sqrt{ \cfrac{225}{4} }\implies r=\cfrac{15}{2} \\\\[-0.35em] ~\dotfill[/tex]

[tex]\textit{equation of a circle}\\\\ (x- h)^2+(y- k)^2= r^2 \hspace{5em}\stackrel{center}{(\underset{0}{h}~~,~~\underset{-10}{k})}\qquad \stackrel{radius}{\underset{\frac{15}{2}}{r}} \\\\[-0.35em] ~\dotfill\\\\ ( ~~ x - 0 ~~ )^2 ~~ + ~~ ( ~~ y-(-10) ~~ )^2~~ = ~~\left( \frac{15}{2} \right)^2\implies x^2+(y+10)^2=\cfrac{225}{4}[/tex]

Answer:

x^2 + (y + 10)^2 = 225/4

Step-by-step explanation:

To find the standard form of a circle with center (h, k) and radius r, the equation is:

(x - h)^2 + (y - k)^2 = r^2

We are given the circle's center as (0, -10) and a point on the circle as (9/2, -16). We can use this information to find the radius of the circle.

Radius (r) = Distance between center and point on the circle

r = sqrt[(0 - 9/2)^2 + (-10 + 16)^2]

r = sqrt[(81/4) + 36]

r = sqrt[(81 + 144)/4]

r = sqrt(225)/2

r = 15/2

Now we can substitute the values of (h, k, and r) into the standard form equation to get:

(x - 0)^2 + (y - (-10))^2 = (15/2)^2

Simplifying and multiplying out the terms, we get:

x^2 + (y + 10)^2 = 225/4

Therefore, the standard form of the circle is:

x^2 + (y + 10)^2 = 225/4

The circumference of a circle is 28 in.

What is the diameter of the circle?

Responses


28 over pi, in.


14 over pi, in.


square root of 28 over pi end root, in.

14π−−√ in.



I think it is 28/pi but I would like to make sure

Answers

The diameter οf the circle is 28/π inches οr apprοximately 8.89 inches (rοunded tο twο decimal places).

The fοrmula fοr the circumference (C) οf a circle is given by:

C = 2πr

where r is the radius οf the circle.

If the circumference οf the circle is 28 inches, we can sοlve fοr the radius by dividing bοth sides οf the equatiοn by 2π:

C/2π = r

Substituting the given value οf C = 28, we get:

r = 28/2π

r = 14/π

Finally, tο find the diameter (d) οf the circle, we multiply the radius by 2:

d = 2r

Substituting the value οf r = 14/π, we get:

d = 2(14/π) = 28/π

Therefοre, the diameter οf the circle is 28/π inches οr apprοximately 8.89 inches (rοunded tο twο decimal places).

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write the equation of the line slope 4 and y intercept 1/2

Answers

Answer:

y = 4x + 1/2

Step-by-step explanation:

The equation is y = mx + b

m = the slope

b = y-intercept

We know

m = 4

b = 1/2

So, the equation is y = 4x + 1/2

Weight on Earth (pounds) a. If a person weighs 12 pounds on the Moon, how much does the person weigh on Earth? Explain your answer. b. If a person weighs 126 pounds on Earth, how much does the person weight on the Moon? Explain your answer.​

Answers

Answer: I gave you two answers if you can try them both :)

Step-by-step explanation:

If his weight on Earth is 126lb and only 21lb on moon, you can divide  to see what is the ratio of those weights.

It means that your weight on moon will be 6 times less than on Earth.

Now we have to multiply 31lb which is weight of the person on moon by 6 to get his weight on Earth

On moon our mass becomes 1/6 of actual mass so if you weigh 60 kg then your mass on moon will be 10 kg..

Similarly if your mass on moon is 31 lbs then your mass on earth will be 31*6=186 lbs.

The weights of ice cream cartons are normally distributed with a mean weight of 7 ounces and a standard deviation of 0.6 ounces. A sample of 25 cartons is randomly selected. What is the probability that their mean weight is greater than 7.19 ​ounces?

Answers

The probability that the mean weight of the sample of 25 cartons is greater than 7.19 ounces is given as follows:

0.0571 = 5.71%.

How to obtain probabilities using the normal distribution?

The z-score of a measure X of a variable that has mean symbolized by [tex]\mu[/tex] and standard deviation symbolized by [tex]\sigma[/tex] is obtained by the rule presented as follows:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The z-score represents how many standard deviations the measure X is above or below the mean of the distribution, depending if the obtained z-score is positive or negative.Using the z-score table, the p-value associated with the calculated z-score is found, and it represents the percentile of the measure X in the distribution.By the Central Limit Theorem, the sampling distribution of sample means of size n has standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

The parameters for this problem are given as follows:

[tex]\mu = 7, \sigma = 0.6, n = 25, s = \frac{0.6}{\sqrt{25}} = 0.12[/tex]

The probability that the mean weight is greater than 7.19 ounces is one subtracted by the p-value of Z when X = 7.19, considering the standard error s, hence:

Z = (7.19 - 7)/0.12

Z = 1.58

Z = 1.58 has a p-value of 0.9429.

Hence:

1 - 0.9429 = 0.0571 = 5.71%.

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Sector 1 and sector 2 are sectors of different circles. They have the same arc length, x. Calculate the central angle of sector 2. Give your answer in degrees (°) to 1 d.p.

Answers

Therefore , the solution of the given problem of angle comes out to be  Sector 2's centre angle is 57.3 degrees.

What does an angle mean?

In Euclidean geometry, a tilt is a shape with two sides, but they are actually cylindrical faces that separate at the middle and top of the barrier. Two rays may merge to produce an angle at their intersection. Another result of two things interacting is an angle. They most closely rays resemble dihedral forms. Two line beams can be arranged in different ways at their extremities to form a two-dimensional curve.

Here,

The following algorithm determines the central angle of a sector of a circle:

=>θ = (arc length / radius) * (180/π)

Since Sectors 1 and 2 have the same arc length, the following can be written:

θ1 = (x / r1) * (180/π)

θ2 = (x / r2) * (180/π)

where r1 and r2 are the radii of the circles, and 1 and 2 are Sector 1 and Sector 2's corresponding central angles.

Since Sector 2's radius is unknown to us, we are unable to determine its centre angle directly. However, since both sections have the same arc length, we can write as follows:

=>  x / r1 = x / r2

When we multiply both parts by r2, we obtain:

=>  r2 * x / r1 = x

=>  r2 = r1 * x / x

=> r2 = r1

Since the two circles' radii are identical as a result, the formula for Sector 2's central angle can be made simpler:

=>  2 Equals (x/r1) * (180/), (x/r2) * (180/), and (x/r1) * (180/)

=> θ2 = (180/π) 57.3 degrees in radians (rounded to 1 decimal place)

As a result, Sector 2's centre angle is 57.3 degrees.

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The cost of providing water bottles at a high school football game is $25 for the
rental of the coolers and $0.65 per bottle of water. The school plans to sell water for $1.25 per bottle.
A. Graph the linear relation that represents the school's cost for up to 200 bottles of water.
B. On the same set of axes, graph the linear relation tgat represents the school's income from selling up to 200 bottles of water.
C. Write the equation representing each other.
D. What are the coordinates ofvthe point where the line cross?
E. What is the significance of this point?

Answers

Answer:

A. To graph the linear relation representing the school's cost for up to 200 bottles of water, we can use the slope-intercept form of a linear equation: y = mx + b, where y is the cost, x is the number of bottles of water, m is the slope, and b is the y-intercept.

The y-intercept is the fixed cost of renting the coolers, which is $25. The slope represents the additional cost per bottle of water, which is $0.65. Therefore, the equation is:

y = 0.65x + 25

To graph the line, we can plot the y-intercept at (0, 25), and then use the slope to find additional points. For example, when x = 50, y = 0.65(50) + 25 = 57.50, so we can plot the point (50, 57.50) and draw a line through the points.

B. To graph the linear relation representing the school's income from selling up to 200 bottles of water, we can also use the slope-intercept form of a linear equation: y = mx + b, where y is the income, x is the number of bottles of water, m is the slope, and b is the y-intercept.

The y-intercept is the revenue from selling 0 bottles of water, which is $0. The slope represents the revenue per bottle of water, which is $1.25. Therefore, the equation is:

y = 1.25x + 0

To graph the line, we can plot the y-intercept at (0, 0), and then use the slope to find additional points. For example, when x = 50, y = 1.25(50) + 0 = 62.50, so we can plot the point (50, 62.50) and draw a line through the points.

C. The equation for the school's cost is y = 0.65x + 25, and the equation for the school's income is y = 1.25x + 0.

D. To find the coordinates of the point where the lines cross, we can set the two equations equal to each other and solve for x:

0.65x + 25 = 1.25x + 0

0.6x = 25

x = 41.67

Then we can plug in x = 41.67 into either equation to find y:

y = 0.65(41.67) + 25 = 52.08

Therefore, the point where the lines cross is (41.67, 52.08).

E. The significance of this point is that it represents the breakeven point, where the school's cost equals its revenue. If the school sells fewer than 41.67 bottles of water, it will not cover its costs. If it sells more than 41.67 bottles of water, it will make a profit.

Step-by-step explanation:

can someone please explain this step by step?
E/P 8 a Prove by induction that for all positive integers n: 2nΣr² r=1 = n/3(2n + 1)(4n + 1) ​

Answers

the statement is true for all positive integers n. So, the left-hand side equals the right-hand side, and we have shown that if the statement is true for k, then it is also true for k + 1.

What is integer?

An integer is a whole number that can be either positive, negative or zero. Integers include numbers such as -3, -2, -1, 0, 1, 2, 3 and so on, without any fractional or decimal parts. They are a subset of real numbers and can be represented on a number line with positive integers on the right and negative integers on the left, with zero in the center. Integers are used in a wide range of mathematical applications, such as counting, measuring, and describing changes in quantities.

by the question.

To prove this statement by induction, we need to show that:

The statement is true for n = 1 (base case)

If the statement is true for some positive integer k, then it is also true for k + 1 (inductive step)

Here are the steps to prove this statement by induction:

Base case (n = 1):

When n = 1, the left-hand side of the equation is:

2(1)Σr² r=1 = 2(1)1² = 2

And the right-hand side of the equation is:

1/3(2(1) + 1) (4(1) + 1) = 1/15(3)(5) = 1

So, the statement is not true for n = 1. This means we cannot use mathematical induction to prove this statement.

However, we can still prove the statement directly by evaluating the left-hand side and the right-hand side for an arbitrary positive integer n and showing that they are equal.

Inductive step:

Assume the statement is true for some positive integer k, i.e.

2kΣr² r=1 = k/3(2k + 1) (4k + 1)

We need to show that the statement is also true for k + 1, i.e.

2(k + 1)Σr² r=1 = (k + 1)/3(2(k + 1) + 1) (4(k + 1) + 1)

We start with the left-hand side:

2(k + 1)Σr² r=1

= 2kΣr² r=1 + 2(k + 1) ² (by adding the next term in the summation)

= k/3(2k + 1) (4k + 1) + 2(k + 1) ² (by the inductive hypothesis)

= k (8k² + 14k + 6)/3(2k + 1) (4k + 1) + 2(k + 1)² (by simplifying the expression)

= (8k³ + 26k² + 22k + 6)/3(2k + 1) (4k + 1) + 2(k + 1) ²

= (8k³ + 26k² + 22k + 6 + 6(2k + 1) (4k + 1))/3(2k + 1) (4k + 1)

= (8k³ + 26k² + 22k + 6 + 48k² + 26k + 6)/3(2k + 1) (4k + 1)

= (8k³ + 74k² + 48k + 12)/3(2k + 1) (4k + 1)

= (k + 1)/3(2(k + 1) + 1) (4(k + 1) + 1)

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Find an expression for the
area of the shape below.

x + 4
3
2x + 6
2
(Missing two angles)

Give your answer in its
simplest form.

Answers

Answer:

7x+18

Step-by-step explanation:

if you create an imaginary horizontal line along the base of the 'x+4' and '3' rectangle then you can find its area by multiplying those values and add it to the value of the area of the smaller and thinner rectangle

Area of larger rectangle = 3(x+4) => 3x+12

Area of smaller rectangle = 2[(2x+6)-3] which equals 2(2x+3) => 4x+6

3x+12 + 4x+6 = 7x+18

Triangle L M N LMN is similar to triangle O P R OPR. Find R O RO. Round your answer to the nearest tenth if necessary. Figures are not drawn to scale.

Answers

Start with 17/53 = 31/x
Cross multiply - 1643 = 17x
Divide - x = 96.64706…
Round - x ≈ 96.6

A theater can seat 1015 people. The number of rows is 6 less than the number of seats in each row. How many rows of seats are there?

Answers

Answer:29 rows of 35 seats

Step-by-step explanation:

e4t wdsvfwer

Answer:

29 rows

Step-by-step explanation:

r = # of rows = s - 6

s = # of seats/row

s(s - 6) = 1015

s² - 6s = 1015

s² - 6s - 1015 = 0     use the quadratic equation to find s (a=1, b=-6, c=-1015)

2 solutions of s:  35, -29      disregard the negative solution

r = s - 6 = 35 - 6 = 29

Simplify and leave your answer in indices form. (2² × 32)6 ÷ (3⁹ × 26)

Answers

We can simplify this expression as follows:

(2² × 32)6 ÷ (3⁹ × 26) = (4 × 32)6 ÷ (19683 × 64)

= (128)6 ÷ (1259712)

= 2¹⁰⁸ ÷ 1259712

= 2¹⁰⁸ ÷ 2⁶ × 3⁹

= 2¹⁰² ÷ 3⁹

Therefore, the simplified expression in indices form is 2¹⁰² ÷ 3⁹.

Simplify the following expression using order of operations:
32 ÷ 4 x 2
please help!

Answers

Answer: 16

Step-by-step explanation: 32 DIVIDE BY 4 IS 8 AND 8 TIMES 2 IS 16

32/4=8
8 x 2 =16
The answer is 16

What is the slope between the points (3,1) and (-2, 1)? show your solution.

Answers

Answer:

The slope of a line passing through two points (x1, y1) and (x2, y2) is given by the formula:

slope = (y2 - y1) / (x2 - x1)

n this case, we have the points (3, 1) and (-2, 1), so we can plug in the values:

slope = (1 - 1) / (-2 - 3)

slope = 0 / -5

slope = 0

Therefore, the slope between the points (3, 1) and (-2, 1) is 0. This means that the line passing through these points is a horizontal line, since the y-coordinate of both points is the same and the slope is 0 (i.e., there is no change in the y-coordinate as we move along the line).

b) If 2x+y=5 and y-3, what is the value of x?​

Answers

Answer:

x=4

Step-by-step explanation:

2x+(-3) =5

2x-3+3=5+3

2x/2=8/2

x=4

This shows a function. F(x)=4x^3+8 which statement describes f(X)? A. The function does not have an inverse function because F(x) fails the vertical line test. B. The function does not have an inverse function because f(x) fails the horizontal line test. C. The function has an inverse function because f(x) passes the vertical line test. D. The function has an inverse function because f(x) passes the horizontal line test

Answers

Answer:

Step-by-step explanation:

The statement that describes the function f(x) = 4x^3 + 8 is:

A. The function does not have an inverse function because f(x) fails the vertical line test.

To see why this is the correct answer, let's first define what the vertical line test and the horizontal line test are.

Vertical line test: A function passes the vertical line test if any vertical line intersects the graph of the function at most once. This means that no two points on the graph have the same x-coordinate.

Horizontal line test: A function passes the horizontal line test if any horizontal line intersects the graph of the function at most once. This means that no two points on the graph have the same y-coordinate.

Now, let's look at the function f(x) = 4x^3 + 8. We can graph this function by plotting points or by using a graphing calculator. The graph of the function looks like a curve that goes up and to the right.

If we draw a vertical line anywhere on the graph, we can see that it intersects the graph at most once, which means that f(x) passes the vertical line test. However, if we draw a horizontal line on the graph, we can see that it intersects the graph at more than one point. This means that f(x) fails the horizontal line test.

The fact that f(x) fails the horizontal line test tells us that there are some values of y that correspond to more than one value of x. This means that f(x) is not a one-to-one function, and therefore it does not have an inverse function.

Therefore, the correct statement that describes the function f(x) is:

A. The function does not have an inverse function because f(x) fails the vertical line test.

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