Seven values on the number line above are marked with letters. Match the opposites

Answer:

Total weight = 111.6 lbs

Step-by-step explanation:

Given the following data;

Length = 1 feet

Width = 9.5 feet

Height = 13.5 feet

Mass of contents = 0.87 pounds per cubic foot

To find the weight of the contents in the container;

First of all, we would determine the volume of the rectangular prism;

Volume = length * width * height

Volume = 1 * 9.5 * 13.5

Volume = 128.25 cubic feet

Next, we find the overall weight;

Total weight = volume * mass of contents

Total weight = 128.25 * 0.87

Total weight = 111.6 lbs

Answer:

a)65.9

b)326.6

c)13.6

d)8.0

Step-by-step explanation:

Answer: 65.87

Step-by-step explanation: Identify which place value you are rounding to. The smaller the place value, the more accurate the final result will be.

Look to the next smallest place value, the digit to the right of the place value you're rounding to. For example, if you want to round to the nearest ten you'd look at the ones place.

Answer:

Perimeter = 1 unit

Step-by-step explanation:

[tex]length \ is \ a \ fraction \ 2 \ over \ 3 = \frac{2}{3}\\\\Width \ is \ a \ fraction \ 1 \ over \ 3 = \frac{1}{3}\\\\Perimeter = 2 ( l + w)\\[/tex]

               [tex]= 2 \times (\frac{2}{3} + \frac{1}{3}) \\\\=2 \times (\frac{3}{3})\\\\= 1 unit[/tex]

Answer:

Algorithm 1 uses:

n*log(n) operations.

While algorithm 2 uses:

n^(3/2) operations.

We want to see, as n grows, which algorithm uses fewer operations.

So we would want to first solve:

n*log(n) = n^(3/2)

This will give us the exact value of n such that the number of operations is the same in both algorithms.

dividing both sides by n we get:

log(n) = n^(3/2)/n = n^(3/2 - 1) = n^(1/2)

where we can use:

log(n) = ln(n)/ln(10)

ln(n) = ln(10)*n^(1/2)

This equation actually has no solutions.

This happens because the right side is always larger than the left side.

Then, the same thing happens for our two initial equations:

n^(3/2) is always larger than n*log(n), as you can see in the graph below, where n^(3/2)  is represented with the orange graph:

So we can conclude that the fist algorithm uses less operations as n grows.

Answer:

The answer is "7.122 billion"

Step-by-step explanation:

Please find the complete question in the attached file.

Using formula:

[tex]\to y=Ce^{kt}[/tex]  

[tex]C=5.937\\\\y=6.771\\\\t=10\\\\ k=?6.771=5.937e^{10k}\\\\1.1405=e^{10k}\\\\\ln(1.1405)={10\ k}\\\\0.013={k}\\\\[/tex]

So,  

[tex]\to y=5.937e^{.013t}\\\\[/tex]

when it becomes [tex]2012, \ t=14[/tex] so plug the value into the formula  

[tex]\to y= 5.937e^{.013(14)} =7.122 \ billion[/tex]

Answer:

9x^3 y^5

Step-by-step explanation:

Since the formula to finding area is (L*W = A), we first have to find the width.

Width: 3x^3 y^5 times 2 = 6x^3 y^5

Then we add them. So, 3x^3 y^5 + 6x^3 y^5 = 9x^3 y^5

Answer:

The answer is "0,3,-3".

Step-by-step explanation:

Let the matrix is not invertible.

then |A|=0

[tex]\left|\begin{array}{ccc}0&9&a\\a&1&7\\0&a&1\end{array}\right|=0[/tex]

[tex]-a[9-a^2]=0\\\\a=0\\\\a=\pm 3\\\\a=0, 3,-3\\[/tex]

Answer:

$1.918

Step-by-step explanation:

The volume of a right circular cone is obtained using the formular :

V = 1/3πr²h

From the question:

Diameter = 9 inches ; height = 10 inches

Radius = diameter /2 = 9/2 = 4.5 inches

V = 1/3*π*4.5²*10

V = 211.95 in³

Volume in ft³ = 211.95 / 1728 = 0.12265625 ft³

Density of popcorn = 34 ounces / ft³

Density of popcorn CONTAINER = x

1 ft³ = 34 ounce

0.12265625 ft³ = x

Cross multiply

x = 34 * 0.12265625 ft³

x = 4.1703125 ounce

Hence, popcorn continer has a density of 4.1703125 ounce

If price per container = $8

The price per ounce = $8 / 4.1703125

= $1.918

Hence, price per ounce is $1.918

The answer is in the picture. Click on it

Answer:

y(x) = -1/(x^2 + c_1 x)

Step-by-step explanation:

Solve Bernoulli's equation ( dy(x))/( dx) + y(x)/x = x y(x)^2:

Divide both sides by -y(x)^2:

-(( dy(x))/( dx))/y(x)^2 - 1/(x y(x)) = -x

Let v(x) = 1/y(x), which gives ( dv(x))/( dx) = -(( dy(x))/( dx))/y(x)^2:

( dv(x))/( dx) - v(x)/x = -x

Let μ(x) = e^( integral-1/x dx) = 1/x.

Multiply both sides by μ(x):

(( dv(x))/( dx))/x - v(x)/x^2 = -1

Substitute -1/x^2 = d/( dx)(1/x):

(( dv(x))/( dx))/x + d/( dx)(1/x) v(x) = -1

Apply the reverse product rule f ( dg)/( dx) + g ( df)/( dx) = d/( dx)(f g) to the left-hand side:

d/( dx)(v(x)/x) = -1

Integrate both sides with respect to x:

integral d/( dx)(v(x)/x) dx = integral-1 dx

Evaluate the integrals:

v(x)/x = -x + c_1, where c_1 is an arbitrary constant.

Divide both sides by μ(x) = 1/x:

v(x) = x (-x + c_1)

Solve for y(x):

y(x) = 1/v(x) = -1/(x^2 - c_1 x)

Simplify the arbitrary constants:

Answer: y(x) = -1/(x^2 + c_1 x)

Answer:

The right solution  is "[tex]9.7\times 10^{-10}[/tex]".

Step-by-step explanation:

According to the question,

The probability that male professional golfer makes hole in one will be:

[tex]P=\frac{1}{2780}[/tex]

Number of players,

n = 36

and,

[tex]q=1-P=\frac{2779}{2780}[/tex]

By using the Binomial theorem, we get

⇒ [tex]P(x=r) = \binom{n}{r} p^r q^{n-r}[/tex]

Bu substituting the values, we get

                   [tex]=\binom{36}{4} (\frac{1}{2780} )^4 (\frac{2779}{2780} )^{32}[/tex]

                   [tex]=9.74929\times 10^{-10}[/tex]

or,

                   [tex]=9.7\times 10^{-10}[/tex]

The answer is in the picture. Click on it.

Answer:

20

Step-by-step explanation:

34 plus 20 is 54

Answer:

Jamie's estimate is correct, since the result is 2.1% less than the estimated number.

Step-by-step explanation:

Given that Jamie says the value of the expression 1.43 x (19/37) is close to 0.75, to determine if Jamie's estimate seems reasonable the following calculation must be performed:

1.43 x (19/37) = X

1.43 x 0.513 = X

0.7343 = X

0.75 = 100

0.7343 = X

0.7343 x 100 / 0.75 = X

97.9 = X

Therefore, Jamie's estimate is correct, since the result is 2.1% less than the estimated number.

Answer:

x = 30

Step-by-step explanation:

The angle in the bottom right is 120

Call is y

y+60 = 180

y = 180-60

y =120

Opposite angles in a parallelogram are equal so the upper left angle is 120

Call the 3x +z = 120

We also know that 2x+90 +z = 180 since it forms a straight line

Subtract 90 from each side

2x+z = 90

Using 3x+z = 120 and 2x+z =90 and subtracting the second equation

3x+z = 120  

-2x-z =-90

------------------

x = 30

Answer:

B  y = (-7/4)x - 7

Step-by-step explanation:

Slope intercept form is

y = mx + b

Where m is the slope and b is the y-intercept

m = rise/run

m = ∆y/∆x

m = (y₂ - y₁) / (x₂ - x₁)

m = (-7 - 0) / (0 - -4)

m = -7/4

From the graph the y-intercept

b = -7

-------------------------

y = (-7/4)x - 7

Answer:

option Ais false

Step-by-step explanation:

this is because even number can be divisible by 2 and its multiples as well which are larger than 2 as well.

Answer: 18:27 I believe

Step-by-step explanation: There are 18 white socks and 27 black socks therfore the answer is 18:27

Answer:

It is a function.

Step-by-step explanation:

I would suggest use the website Desmos.

Answer:

-1/2

Step-by-step explanation:

Perpendicular lines have negative reciprocal slopes.

The solution is, -1/2 is the slope of a line that is perpendicular to the line

shown on the graph.

In mathematics, the slope or gradient of a line is a number that describes both the direction and the steepness of the line. The slope of a line is a measure of its steepness. Mathematically, slope is calculated as "rise over run" (change in y divided by change in x).

here, we have,

we have to,

find the slope of the line shown using

the formula, m = y1- y2 / x1- x2

from the given graph we get,

Let

P1(0,1)

P2(1,3)

now we get,

replacing

m = 2/1

   = 2

so, here, m1 = 2

two lines are perpendicular  when

m1 * m2 = -1

as, we know that,

Perpendicular lines have negative reciprocal slopes.

so, we get ,

m2 = -1/2

Hence, The solution is, -1/2 is the slope of a line that is perpendicular to the line

shown on the graph.

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The surface area is 324

Answer:

The surface area of this rectangular prism is 324 [tex]inches^{2}[/tex].

Step-by-step explanation:

The formula for surface area of a rectangular prism is this :

A = 2(wl + hl + hw)

l = 6, w = 5, h = 12.

Now knowing these values, we can solve for A.

A = 2(wl + hl + hw) = 2(5 · 6 + 12 · 6 + 12 · 5) = 324

The surface area of this rectangular prism is 324 [tex]inches^{2}[/tex].

Hope this helps, please mark brainliest. Have a great day!

Answer:

The more confident the manager can be that the parameter estimates reflect the true values.

Step-by-step explanation:

Standard error:

The standard error is a parameter that is direct proportional to the margin of error of a confidence interval, that is, the higher the standard error, the higher the margin of error of the confidence interval.

A lower margin of error leads to a more precise interval, thus, a lower standard error will also mean a higher confidence for the estimate, and thus, the correct option is:

The more confident the manager can be that the parameter estimates reflect the true values.

Answer:

Step-by-step explanation:

f(3)=2*3^2 - 3*3^2 + 1

=2*9 - 3*9 + 1

=18-27+1

=19-27

=-8

Answer:

f ( 3 ) = -8

Step-by-step explanation:

→ Substitute x = 3 into 2x² - 3x² + 1

2 × ( 3 )² - ( 3 × ( 3 )² ) + 1

→ Simplify

-8

Answer:

f(x)=5x+3

Step-by-step explanation:

The slop is 5 and the y intercept is 3

So if you put that in an equation it makes 5x+3

I used the slope formula to find the slope

Subtract the y values over x values

Answer:

$8.10

Step-by-step explanation:

6.75 ÷ 100 = 0.0675 x 20 = 1.35

1.35+6.75=$8.10

Answer:

[tex]\frac{49}{28}[/tex]

Step-by-step explanation:

Evaluate g(- 4) and f(- 4) by substituting x = - 4 into g(x) and f(x), that is

f(- 4) = - 10(- 4) + 9 = 40 + 9 = 49

g(- 4) = (- 4)² + 12 = 16 + 12 = 28

Then

[tex]\frac{f(-4)}{g(-4)}[/tex] = [tex]\frac{49}{28}[/tex] = [tex]\frac{7}{4}[/tex]

Answer:

50 °

Step-by-step explanation:

that is the procedure above

Answer:

B. SAS Theorem

Step-by-step explanation:

SAS means that there are 2 corresponding sides with an angle in between. This condition is satisfied in this case because AC corresponds to DF (18/2 = 9), angle c and angle f are congruent, and BC corresponds to EF

By ''SAS theorem'' triangle ABC is similar to DEF.

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

Given that;

To find the theorem which can be used to verify triangle ABC is similar to DEF.

Now,, By figure,

There are one angle are common.

And, Ratio of two sides are equal.

Hence, By ''SAS theorem'' triangle ABC is similar to DEF.

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