Score: 7.5/50
13/50 answered
Question 15
Annette and Rose went to an orchard to pick pears. Annette picked 8
1
pounds of pears and Rose picked 6
1
pounds. How much more did Annette pick than Rose? Write your answer as a reduced mixed number.
10
Submit Question​

Answer:

{ 1,3,5,7,10,15}

Step-by-step explanation:

The union means join together, or all the elements of both sets

{1, 5, 10, 15} U {1, 3, 5, 7}

= { 1,3,5,7,10,15}

Answer:

Step-by-step explanation:

Union of two sets contains the elements that belongs to A set or B set or both

A= {1,5,10, 15}

B ={1,3,5,7}

A U B = {1,3,5,7,10,15}

Answer:

c) The series diverges. There is no sum.

Step-by-step explanation:

A geometric series is a series of the form:

[tex]S = \Sigma_{i=0}^{n} a\cdot r^{i}[/tex], [tex]\forall i \in \mathbb{N}_{O}[/tex]

Where:

[tex]a[/tex] - First term of the series, dimensionless.

[tex]r[/tex] - Common ratio, dimensionless.

A geometric series converges only if [tex]|r| < 1[/tex]. As [tex]r > 1[/tex], the geometric series diverges. Hence, the right answer is C.

Answer:

c − 135

Explanation:

Let's say that the amount of money in Bailey's checking account is  

c  dollars.

We also know that she took away  $ 135

From this variable and number, we can state the algebraic expression

 c − 135

Answer:

Vertical translation up 8.

Step-by-step explanation:

Vertical translation up 8.

Answer:

Hello There. ♡ The correct answer is: f(x) = -|x-1|

The parent function is f(x) = |x|

Then the function is reflected over the x-axis, so the f(x) will become -f(x)'. The function will become: 

f(x) = -|x| 

-f(x)' = |x|

 f(x)' = -|x|

After that, the function is translated 1 unit to the right. That mean x will become x'-1. The function will become: 

 f(x) = -|x|

 f(x) = -|(x'-1)|

 f(x) = -|x'-1|

Hope It Helps! :)

ItsNobody~ ♡

Answer:

its b on edge  2020

Step-by-step explanation:

Answer:

Graph A

Step-by-step explanation:

Say that the car rental rate stands for c dollars ( $ ). We know that Jamal's trip lasts for 4 days, paying $ 24 in expenses for gas, and $ 128 for taxi services. Based on these requirements for his trip the question asks for a graph that models this situation, but lets start with the inequality.

______

The big key here is the part " which graph shows the range of car rental rates that would be cheaper than the taxi service. " Our inequality must thus have the variable " c " on the same side as the payment for gas ($ 24 ), and must be less than the taxi service ( $ 128 ), or in other words a less than sign. Another point is the car rental rate. We know it stands for c, but it is dependent on the number of days. Hence we can conclude the following inequality,

24 + 4c < 128 - Subtract 24 from either side,

4c < 104 - Divide by 4 on either side, isolating c,

c < 26

The range of car rental rates that would be cheaper than the taxi service should be { c | 0 ≤ c < 26 }, knowing variable c stands for the car rental rates.

______

The graph that models this range should be the first one, option A. This graph is not accurate however, as it extends infinitely in the negative direction, and you can't have negative money, or rather be in debt - in this situation.

Answer:

A is the answer

Step-by-step explanation:

Answer:

Step-by-step explanation:

18 : 2/3

can also be written as 18 / 2/3 = 18 × 3/2

= 27

Hope it helps

plz mark as brainliest!!!!!

If the second graph is y = 3x - 4 below answer holds.

If the second graph is y + 3x = -4 then there is no solution.

Answer:

the intersection is at (4/3, 0).

Step-by-step explanation:

If you add them, you get:

2y = 0 => y=0

then you get

3x = 4 so

x = 4/3

So the intersection is at (4/3, 0).

See graph

Answer:

4,000 cm³

Step-by-step explanation:

Let x be the length of the sides of the base and h be the height of the box.

The surface area is given by:

[tex]A=x^2+4xh=1,200\\h=\frac{1,200-x^2}{4x}[/tex]

The volume if the box is:

[tex]V=hx^2\\V=({\frac{1,200-x^2}{4x}} )*x^2\\V=300x-\frac{x^3}{4}[/tex]

The value of x for which the derivate of the function above is zero will produce the largest possible volume:

[tex]V=300x-\frac{x^3}{4} \\V'=300-\frac{3}{4}x^2=0\\ x^2=400\\x=20\ cm[/tex]

The height of the box is:

[tex]h=\frac{1,200-20^2}{4*20}\\h=10\ cm[/tex]

The largest possible volume is:

[tex]V=10*20^2\\V=4,000\ cm^3[/tex]

The largest possible volume of the box is 4,000 cm³

The volume of the open-top box is the amount of space in it.

The largest possible volume of the box is 4000 cubic centimeters

The surface area of an open-top box is:

[tex]\mathbf{A = 2lh + 2wh + lw}[/tex]

So, we have:

[tex]\mathbf{2lh + 2wh + lw = 1200}[/tex]

The box has a square base.

So, we have:

[tex]\mathbf{l= w }[/tex]

The expression becomes

[tex]\mathbf{2lh + 2lh + l^2 = 1200}[/tex]

[tex]\mathbf{4lh + l^2 = 1200}[/tex]

Make  the subject

[tex]\mathbf{h = \frac{1200 - l^2}{4l}}[/tex]

The volume of the box is:

[tex]\mathbf{V = lwh}[/tex]

So, we have:

[tex]\mathbf{V = l^2h}[/tex]

Substitute [tex]\mathbf{h = \frac{1200 - l^2}{4l}}[/tex]

[tex]\mathbf{V = l^2 \times \frac{1200 - l^2}{4l}}[/tex]

[tex]\mathbf{V = l \times \frac{1200 - l^2}{4}}[/tex]

Expand

[tex]\mathbf{V = \frac{1200l - l^3}{4}}[/tex]

Split

[tex]\mathbf{V = 300l - \frac{l^3}{4}}[/tex]

Differentiate

[tex]\mathbf{V' = 300 - \frac{3l^2}{4}}[/tex]

Set to 0

[tex]\mathbf{ 300 - \frac{3l^2}{4} = 0}[/tex]

Rewrite as:

[tex]\mathbf{ \frac{3l^2}{4} = 300}[/tex]

Multiply through by 4

[tex]\mathbf{ 3l^2 = 1200}[/tex]

Divide both sides by 3

[tex]\mathbf{l^2 = 400}[/tex]

Take square roots of both sides

[tex]\mathbf{l = 20}[/tex]

Recall that:

[tex]\mathbf{h = \frac{1200 - l^2}{4l}}[/tex]

So, we have:

[tex]\mathbf{h = \frac{1200 - 20^2}{4 \times 20}}[/tex]

[tex]\mathbf{h = \frac{1200 - 400}{80}}[/tex]

[tex]\mathbf{h = \frac{800}{80}}[/tex]

[tex]\mathbf{h = 10}[/tex]

Recall that:

[tex]\mathbf{V = l^2h}[/tex]

So, we have:

[tex]\mathbf{V=20^2 \times 10}[/tex]

[tex]\mathbf{V=4000}[/tex]

Hence, the largest possible volume of the box is 4000 cubic centimeters

Read more about volumes at:

https://brainly.com/question/2198651

Answer:

140 units3

Step-by-step explanation:

The  volume of the prism below is 420 cubic units.

a three dimensional shape can be defined as a solid figure or an object or shape that has three dimensions—length, width, and height.

The prism is a three-dimensional shape that has base area, and height. The volume of a prism is equal to the product of base area and height of a prism.

The volume of the prism= B×H

Where, B is base area of prism, and H is height of prism.

Given that,

Length of  prism (L) = 12 centimeters

Width of prism(W) = 14 centimeters

B=1/2×12×5

=30

Now volume of prism = 30×14

=420 cubic units

Hence, the  volume of the prism below is 420 cubic units.

To learn more on Three dimensional figure click:

https://brainly.com/question/2400003

#SPJ7

Answer:

The correct answer is B.

Step-by-step explanation:

Giving the following information:

Job:

Direct materials= $2,000

Direct labor= $400

Machine-hours= 900 mh

Company:

Manufacturing overhead costs $45,000

Machine-hours 100,000 mh

Selling price= 40% markup of total manufacturing costs

First, we need to calculate the predetermined overhead rate to allocate overhead:

Predetermined manufacturing overhead rate= total estimated overhead costs for the period/ total amount of allocation base

Predetermined manufacturing overhead rate= 45,000/100,000

Predetermined manufacturing overhead rate= $0.45 per machine hour

Now, we can calculate the total cost and the selling price:

Total cost= 2,000 + 400 + 0.45*900= $2,805

Selling price= 2,805*1.4= $3,927

Answer:

C. 2y = -12

Step-by-step explanation:

Well a function is when all x values have only one corresponding y value and on a graph we can use the vertical line test and in doing so we know that the answer is C. 2y = -12

Answer:

Step-by-step explanation:hi

Answer:

15

Step-by-step explanation:

A={6,11,16,...,76}

a=6,d=11-6=5

[tex]a_{n}=a_{1}+(n-1)d\\76=6+(n-1)5\\76-6=(n-1)5\\n-1=70/5=14\\n=14+1=15[/tex]

so the cardinal number is 15

Answer:

50

Step-by-step explanation:

The requried, race car will travel approximately 1100 feet in 5 seconds at a constant speed of 150 miles per hour.

To find out how many feet a race car traveling at a constant speed of 150 miles per hour travels in 5 seconds, we need to convert the given speed from miles per hour to feet per second.

There are 5280 feet in a mile, and there are 3600 seconds in an hour.

First, let's convert 150 miles per hour to feet per second:

= 150 miles/hour * 5280 feet/mile / 3600 seconds/hour
= 220 feet/second (approximately)

Now, we can calculate the distance traveled by the race car in 5 seconds:

Distance = Speed * Time

Distance = 220 feet/second * 5 seconds

Distance = 1100 feet

Therefore, the race car will travel approximately 1100 feet in 5 seconds at a constant speed of 150 miles per hour.

Learn more about speed here:

https://brainly.com/question/14197182

#SPJ4

Answer:  The value of m = 10.

Step-by-step explanation:

Given points, (1,5), (9,85), (2,10), (6,38), (4,3), (12,107), (7,64), (12,86), (7,47), (9,64), (4,27)

Each point is represented in the form (x,y).

The line is in the form[tex]y=mx+b[/tex], where m is the rate of change of y with respect to x.

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

Take [tex]x_1=1\ \ , y_1=5;\ \ x_2=9,\ \ y_2=85[/tex]

Then,

[tex]m=\dfrac{85-5}{9-1}\\\\=\dfrac{80}{8}=10[/tex]

Hence, the value of m = 10.

Answer:

9.15

Step-by-step explanation:

I just took the test Hope this helped :D

Answer: 7 years

Step-by-step explanation:

From the formula A = P(1+(r/100))^t we have

5089.12 = 4000 (1+(3.5/100))^t

=> 1.27228 = (1.035)^t

Using calculator we find that 1.035^7 gives 1.272279

Hence in 7 years $4000 will grow to $5089.12 if it’s invested at 3.5%

Answer:

6(u-3)

Step-by-step explanation:

perimeter=2(length+width)

=2(2u-7+u-2)

=2(3u-9)

=6u-18

simplify 6(u-3)

Answer:

[tex]f = \frac{1}{\frac{1}{u}+\frac{1}{v} }[/tex]

Step-by-step explanation:

[tex]1/u=1/f-1/v\\\frac{1}{f} = \frac{1}{v} +\frac{1}{u} \\Divide- both- sides- by; 1\\\frac{1}{f} \div \frac{1}{1} = (\frac{1}{v} + \frac{1}{u}) \div \frac{1}{1}\\\\f = \frac{1}{\frac{1}{u}+ \frac{1}{v} }[/tex]

Answer:

f = uv/(v+u)

Step-by-step explanation:

1/u = 1/f - 1/v

1/u + 1/v = 1/f

(v+u) ÷ uv = 1 ÷ f

multiply both sides by uvf

f(v+u) = uv

f = uv / (v+u)

Answer:

[tex]\frac{x^2-16}{2} + 16ln\frac{4}{x} +16C[/tex]

Step-by-step explanation:

Given the indefinite integral [tex]\int\limits{\frac{x^2-16}{x} } \, dx[/tex], using the substitute

x = 4 sec(θ)...1

The integral can be calculated as thus;

First let us diffrentiate the substitute function with respect to θ

dx/dθ = 4secθtanθ

dx =  4secθtanθdθ... 2

Substituting equation 1 and 2 into the integral function we will have;

[tex]\int\limits{\frac{(4sec \theta)^2-16}{4sec \theta} } \, 4sec \theta tan \theta d \theta\\\int\limits{\frac{16sec^2 \theta-16}{4sec \theta} } \, 4sec \theta tan \theta d \theta\\\int\limits{\frac{(16(sec^2 \theta-1)}{4sec \theta} } \, 4sec \theta tan \theta d \theta\\\\from \ trig \ identity,\ sec^2 \theta - 1 = tan^\theta\\\\\int\limits{\frac{16 tan^2 \theta}{4sec \theta} } \, 4sec \theta tan \theta d \theta\\\\\int\limits 16 tan^3 \theta d \theta\\\\[/tex]

Find the remaining solution in the attachment.

Answer:

  A. Show that the diagonals form two congruent triangles using the definition of a rhombus and geometric properties. Then, use CPCTC (corresponding parts of congruent triangles are congruent) to show that the opposite interior angles are bisected.

Step-by-step explanation:

Answer choice A is the only one that applies specifically to a rhombus.

The other answer choices are true of triangles and vertical angles in general. They do not relate specifically to the problem at hand.

Answer:

Answer B is the correct one: a curved line that can be increasing or decreasing.

Step-by-step explanation:

Exponential functions are one-to-one functions, which means that cannot have a U shape. Also, they are not a straight line, since they grow of decrease exponentially (based on a fixed numerical base with the variable as the exponent) They can represent exponential growth showing a curve with increasing values as we move from left to right, or can represent exponential decay showing a curve with decreasing values as we move from left to right.

Answer:

Step-by-step explanation:

side a = 10

Area of isosceles triangle = [tex]\frac{\sqrt{3}a^{2}}{4}\\\\[/tex]

           = [tex]\frac{\sqrt{3}*10*10}{4}\\\\=\sqrt{3}*5*5\\\\=25\sqrt{3}\\\\=25*1.732[/tex]

             = 43.3 square units

The commutative property of addition tells that there is no effect of orders of addends on the result. The associative property of multiplication tells that there can be any grouping of factors, without changing the result.

The expression which uses the commutative property of addition and the associative property of multiplication to  rewrite the given expression is:

(3*3)*8 + 5

The order in which addends(quantities that are added) are written doesn't matter and the result will be same.

[tex]a + b = b + a[/tex]

The associative property of multiplication tells that there can be any grouping of factors(any association), without changing the result.

[tex]a\times (b \times c ) = (a \times b) \times c[/tex]

For given expression 5 + 3*(3*8), using the commutative property of addition, we have:

[tex]5 + 3 \times (3 \times 8) = 3 \times (3 \times 8) + 5[/tex]

For the resultant expression [tex]3 \times (3 \times 8) + 5[/tex], using the associative property of multiplication:

[tex]3 \times (3 \times 8) + 5 = (3 \times 3) \times 8 + 5[/tex]

Thus, the expression which uses the commutative property of addition and the associative property of multiplication to  rewrite the given expression is:

(3*3)*8 + 5

Learn more about properties of multiplication here:

https://brainly.com/question/1680548

Answer:

discrete quantitative

Step-by-step explanation:

The number of meals that students eat is a numeric variable, which makes it a quantitative variable. However, it can only be measured in integers (assuming that there is no such thing as half a meal), which makes the data he is working with a discrete quantitative variable.

Answer:

2.10% probability that the group will consist of all Republicans.

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

In this question, the order in which the members are selected is not important. So we use the combinations formula to solve this question.

Combinations formula:

[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

Desired outcomes:

4 republicans from a set of 6.

[tex]D = C_{6,4} = \frac{6!}{4!2!} = 15[/tex]

Total outcomes:

4 members from a set of 6 + 7 = 13.

[tex]T = C_{13,4} = \frac{13!}{4!9!} = 715[/tex]

Probability:

[tex]p = \frac{D}{T} = \frac{15}{715} = 0.021[/tex]

2.10% probability that the group will consist of all Republicans.

Answer:

2 real solutions

Step-by-step explanation:

hello,

[tex]\Delta = b^2-4ac=3^2-4*1*1=9-4=5>0[/tex]

as this is > 0 there are 2 different real solutions

hope this helps

The quadratic equation, y = x² + 3x + 1 has two real roots.

In a quadratic equation of the form, ax² + bx + c = 0, the nature of the roots depends upon the value of the discriminant (D), which is calculated by the formula, D = b² - 4ac.

If the value of D > 0, the equation has real and distinct roots.

If the value of D = 0, the equation has real and equal roots.

If the value of D < 0, the equation has imaginary roots.

In the question, we are given an equation y = x² + 3x + 1 and are asked to say how many real roots it has.

To find the roots, we first equate y to 0.

∴ y = x² + 3x + 1 = 0.

Now comparing the equation x² + 3x + 1 to the standard equation ax² + bx + c, we get a = 1, b = 3, and c = 1.

Now, the nature of the roots depends upon the discriminant (D),

D = b² - 4ac = 3² - 4.1.1 = 9 - 4 = 5.

∵ Discriminant (D) > 0, the quadratic equation, y = x² + 3x + 1 has both its root real and distinct.

∴ The quadratic equation, y = x² + 3x + 1 has two real roots.

Learn more about quadratic equations at

https://brainly.com/question/1214333

#SPJ2

Answer:

1.02% probability of the stick's weight being 2.44 oz or greater

Step-by-step explanation:

When the distribution is normal, we use the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

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

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this question:

[tex]\mu = 2, \sigma = 0.19[/tex]

What is the probability of the stick's weight being 2.44 oz or greater?

As a decimal, this is 1 subtracted by the pvalue of Z when X = 2.44. So

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

[tex]Z = \frac{2.44 - 2}{0.19}[/tex]

[tex]Z = 2.32[/tex]

[tex]Z = 2.32[/tex] has a pvalue of 0.9898

1 - 0.9898 = 0.0101

1.02% probability of the stick's weight being 2.44 oz or greater

Answer:

10 ≤ f ( 7 ) − f ( 2 ) ≤ 15

Step-by-step explanation:

Integrating the given inequalities along the interval from x = 2 to x = 7 yields the minimum and maximum possible values:

[tex]2 \leq f ' ( x )\leq 3\\\int\limits^7_2 {2} \, dx \leq \int\limits^7_2 {f'(x)} \, dx \leq\int\limits^7_2 {3} \, dx \\\\2*7-(2*2)\leq f(7)-f(2)\leq 3*7-(3*2)\\10\leq f(7)-f(2)\leq 15[/tex]

The minimum possible value is 10 and the maximum possible value is 15.

Answer:

see explanation

Step-by-step explanation:

Given

16[tex]y^{4}[/tex] - 256[tex]x^{12}[/tex] ← factor out 16 from each term

= 16([tex]y^{4}[/tex] - 16[tex]x^{12}[/tex] ) ← difference of squares which factors in general as

a² - b² = (a - b)(a + b), thus

[tex]y^{4}[/tex] - 16[tex]x^{12}[/tex]

= (y² )² - (4[tex]x^{6}[/tex] )²

= (y² - 4[tex]x^{6}[/tex] )(y² + 4[tex]x^{6}[/tex] )

Now y² - 4[tex]x^{6}[/tex] ← is also a difference of squares

= y² - (2x³)²

= (y - 2x³)(y + 2x³)

Thus

16[tex]y^{4}[/tex] - 256[tex]x^{12}[/tex]

= 16(y - 2x³)(y + 2x³)(y² + 4[tex]x^{6}[/tex] )

Answer:

Step-by-step explanation:

4y^2+16x^6, 2y, 4x^3, 2y, 4x^3

Answer:

3[tex]\sqrt{29\\[/tex]

Step-by-step explanation:

6^2 = 36

15^2 = 255

36+255 = 261

[tex]\sqrt{261}[/tex] = 3[tex]\sqrt{29\\[/tex]