Pyramid X is similar to pyramid Y. The surface area of pyramid X is 135 square centimeters. The surface area of pyramid Y is 240 square centimeters. If the volume of pyramid X is 189 cubic centimeters, what is the volume of pyramid Y?

Answer:

Nikki grows 20 tomato plants and she measures their heights.

We want to complete the frequency table.

All we have to do is count the number of values that fall between each range.

The values are:

5  10  12  16  14

17  20  15  10  7

13  11  6  18  15

6  12  17  8  12

  Height              Frequency

-> 5 ≤ h < 10             5

10 ≤ h < 15                8

15 ≤ h < 20               6

20 ≤ h < 25               1

Answer:

Average cost

= [200,000 + 5,700x + 4,200y − 100,000e−⁰•⁰¹⁽ˣ ⁺ ʸ⁾] ÷ (x + y)

Step-by-step explanation:

Average cost is the cost per unit of production. It is expressed mathematically as the total cost divided by the total number of units produced.

If total cost = C(x, y)

Average cost = C(x, y) ÷ (x+y)

For this question, total cost function is

C(x, y) = 200,000 + 5,700x + 4,200y − 100,000e−⁰•⁰¹⁽ˣ ⁺ ʸ⁾

The average cost is simply this total cost function divided by the total number of units produced.

Average cost

= [200,000 + 5,700x + 4,200y − 100,000e−⁰•⁰¹⁽ˣ ⁺ ʸ⁾] ÷ (x + y)

If numerical values are then provided, this can then be worked around. But as the numerical values are absent, the average cost function just remains in this its raw form.

Hope this Helps!!!

Answer:

A. 7√3 in

Step-by-step explanation:

We first have to draw out the altitude on the triangle. When we do so, we should see that we will get 2 congruent 30-60-90 triangles. From there, our h height is x and we use tan∅ to solve:

tan60° = x/7

x = 7tan60°

x = 7√3

Answer:

It's A

Step-by-step explanation:

Answer:

[tex]y = -3/2x + 4[/tex]

Step-by-step explanation:

[tex](2,1) and (6,-5).\\x_1 = 2\\x_2 = 6\\y_1 =1\\y_2 =-5\\\frac{y-y_1}{x-x_1} = \frac{y_2-y_1}{x_2-x_1}\\ \\\frac{y-1}{x-2} = \frac{-5-1}{6-2}\\\\\frac{y-1}{x-2} = \frac{-6}{4} \\Cross-Multiply\\4(y-1) = -6(x-2)\\4y-4=-6x+12\\4y =-6x+12+4\\4y = -6x+16\\Divide through-by ; 4\\\frac{4y = -6x+16}{4} \\\\y = -\frac{3}{2} x +4[/tex]

Answer:

upper sum= 0.859

lower sum = 0.659

Step-by-step explanation:

y = √(1 − x²)

if n= 5

Answer:

The correct answer is the last option (-2, 8)

Step-by-step explanation:

You can see that the lines intersect at the point -2, 8.

Hope this helped! :)

Answer:

D.

Step-by-step explanation:

The point (-2,8) is the only given point that is on the two lines in this graph.

If you want to make sure, you can just use a graphing calculator on your laptop/ computer & zoom in on it. Hopefully this helps & gets a brainliest. Thx for giving me time.

Answer:

Yes

Since the time taken t= 7.58 hours required to complete both buildings is less than the 8-hours shift then she can finish the two buildings.

Step-by-step explanation:

Given;

Building A = 3,000 square feet

Building B = 2,460 square feet

Total area of building A and B = 3,000+2460

= 5460 square feet

Rate = 5 seconds per square foot

Time taken to complete both buildings is;

Time t = Total area × rate per area.

t = 5460 × 5 seconds

t = 27300 seconds

t = 27300/60 minutes = 455 minutes

t = 455/60 hours

t = 7.583333333333 hours

t = 7.58 hours

Since the time taken t required to complete both buildings is less than the 8-hours shift then she can finish the two buildings.

Answer:

SSA the only other right one missing is ASA

Answer:

x=-52

Step-by-step explanation:

1/3x=-17 1/3

x=-52

Answer:

B. y=-4x+2

Step-by-step explanation:

y-6=-4x-4

y=-4x-4+6

y=-4x+2

Answer:

13

Step-by-step explanation:

We can find the missing side length by using the pythagorean theorem

a² + b² = c²

5² + 12² = c²

25 + 144 = c²

169 = c²

13 = c

So, 13 is the missing side length.

Answer:

A

Step-by-step explanation:

For lines to be parallel, their slopes need to be the same.

For lines to be perpendicular, the product of their slopes needs to be -1.

None of these conditions are met since the slopes are 2 and 4 respectively.

Sooo.... The answer must be A! :)

Answer:

The lines given are neither perpendicular nor are they parallel.

Step-by-step explanation:

In order for two lines to be be parallel, they must have the same slope but different y-intercepts. In order for two lines to be perpendicular, one line has to have a slope that is the negative reciprocal of the other line.

We are given two line equations.

y = 2x

y = 4x + 1

These lines do not represent a perpendicular situation nor do they represent a parallel situation.

Answer: a. 12.4 years

Step-by-step explanation:

Function to represent exponential growth continuously:

[tex]A=A_0e^{rt}[/tex]  ...(i)

, where [tex]A_0[/tex] = initial amount, r= rate of interest ( in decimal) , A = Amount after t years.

As per given , we have

[tex]A_0=\$1300\\\\r=8\%=0.08\\\\ A=\$3500[/tex]

To find : t

Put all values in (i) ,

[tex]3500=(1300)e^{0.08t}\\\\\Rightarrow\ 2.6923077=e^{0.08t}[/tex]

Taking natural log on both sides

[tex]\ln(2.6923076)= 0.08t\\\\\Rightarrow\ 0.99039867=0.08t\\\\\Rightarrow\ t=\dfrac{0.99039866}{0.08}=12.37998325\approx12.4[/tex]

Hence, it would take 12.4 years.

so, the correct option is a. 12.4 years .

Answer:

2800

Step-by-step explanation:

2826 to the nearest hundred is 2800

we in the same boat we should work together

Answer: (x2 − y2)2 + (2xy)2 = (x2 + y2)2

Step-by-step explanation:

Answer:

T < -25

Step-by-step explanation:

Was correct on TTM

Answer:

-17x + y = 128

Step-by-step explanation:

First, find the slope.

[tex]m=\frac{y_{2}-y_{1} }{x_{2}- x_{1} }\\m=\frac{9-(-8) }{-7-(-8)}\\m=\frac{9+8 }{-7+8}\\m=\frac{17}{1} \\m=17[/tex]

Now, use point-slope form to find the equation.

y - y = m(x - x)

y - 9 = 17(x - (-7))

y - 9 = 17(x + 7)

y - 9 = 17x + 119

y = 17x + 128

Since your equation needs to be in Ax + By = C form, rearrange the equation so that the x and y values are on the left side of the equation.

y = 17x + 128

-17x + y = 128

Answer:

To find the LCM you must find all factors of the numbers, and then multiply all the factors together including the ones that are not shared among the numbers.

For example,

Factors of 10: 2×5

Factors of 30: 2×3×5

LCM of 10 and 30: 2×3×5 = 30

However do note not to multiply a factor more than once if it is shared among two numbers.

Answer:

The dollar amount 8 years from now of $500 invested at 7% annual interest is $859.09

Step-by-step explanation:

In order to calculate the dollar amount 8 years from now of $500 invested at 7% annual interest we would have to calculate the following formula:

dollar amount=PV*(1+r)∧n

According to the given data we have the following:

PV=$500

r=7%

n=8

Therefore, dollar amount=$500*(1+0.07)∧8

dollar amount=$859.09

The dollar amount 8 years from now of $500 invested at 7% annual interest is $859.09

Answer:

[tex]\frac{12}{x^2 +7x}[/tex]

Step-by-step explanation:

Simply multiply straight across which you get

12/X X × ( X +7 )

Then just multiply X into the parenthesis

Hope this helps :)

Answer:

d = 3 in

Step-by-step explanation:

Since we are trying to find the diameter, and the diameter is given to us as 3 in, our diameter is 3 in.

Here the l'Hospital's Rule is appropriate, as the limit is in the form [tex]\infty / \infty[/tex]. Take a look at the procedure below -

[tex]\lim_{x \to \infty} x^4e^{-x^3} = \lim_{x \to \infty} \frac{x^4}{e^{x^3}}[/tex],

At this point, one can conclude that the solution should " boil down " to the expression [tex]4 / \infty[/tex], and thus the solution is 0.

Hope that helps!

Answer:  243/5 = 48.6

Step-by-step explanation:

  a₁,  375,  a₃,   a₄,  81 , a₆

First, let's find the ratio (r). There are three multiple from 375 to 81.

[tex]375r^3=81\\\\r^3=\dfrac{81}{375}\\\\\\r^3=\dfrac{27}{125}\qquad \leftarrow simplied\\\\\\\sqrt[3]{r^3} =\sqrt[3]{\dfrac{27}{125}}\\ \\\\r=\dfrac{3}{5}[/tex]

Next, let's find a₆ which is one multiple from 81.

[tex]a_6=81\bigg(\dfrac{3}{5}\bigg)^1\\\\\\.\quad =\large\boxed{\dfrac{243}{5}}[/tex]

Answer:

[tex]\begin{center}\begin{tabular}{ c c } n & T\\ 0 & 20 \\ 1 & 25 \\ 2 & 30 \\ 3 & 35 \\ 4 & 40 \\ \end{tabular}\end{center}[/tex]

Please refer to graph attached.

Step-by-step explanation:

Given that mass of each candy in the box is 5 gm.

Mass of empty box is 20 gm.

Total grams, [tex]T = 5n + 20[/tex]

To find: A table of values and graph of the relation.

Solution:

The given equation is nothing but a Linear equation in two variables.

Let us try to create a table of values by putting some values of 'n' and then finding the values for Total grams 'T'.

Let us put [tex]n = 0 \Rightarrow T =5\times 0 +20 = 20[/tex]

Let us put [tex]n = 1 \Rightarrow T =5\times 1 +20 = 25[/tex]

Let us put [tex]n = 2 \Rightarrow T =5\times 2 +20 = 30[/tex]

Let us put [tex]n = 3 \Rightarrow T =5\times 3 +20 = 35[/tex]

Let us put [tex]n = 4 \Rightarrow T =5\times 4 +20 = 40[/tex]

So, the table of values becomes:

[tex]\begin{center}\begin{tabular}{ c c } n & T\\ 0 & 20 \\ 1 & 25 \\ 2 & 30 \\ 3 & 35 \\ 4 & 40 \\ \end{tabular}\end{center}[/tex]

We can see that the value of T is increasing with increasing values of 'n'.

Please refer to the attached image for the graph of given equation.

As it is a linear equation in two variables, it will be a straight line. It will be an increasing positive slope graph.

The greatest number is 6.23 times 10 superscript 12.

The number is written in the form [tex]a \times 10^b[/tex] where we have [tex]1 \leq a < 10[/tex]

The number b shows the order, which is the most important figure for which scientific notation is used. It tells us how much order large or small a value is in powers of 10. We can for a time, ignore the value of 'a' for two comparable quantities and only compare their orders(this type of comparison is useful when difference is too big, like size of human to size of a star etc sort of comparisons).

We are given that the number so;

A.6.23 x 10^12 is equivalent to rolling the decimal 12 times to the right.

B.6.23 x 10^8 is equivalent to rolling the decimal 8 times to the right.

C.6.23 x 10^-6 is equivalent to rolling the decimal 6 times to the left.

D.6.23 x 10^3 is equivalent to rolling the decimal 3 times to the right.

This shows the 10 has been multiplied by itself thrice.

Learn more about scientific notation here:

https://brainly.com/question/3112062

#SPJ6

Answer:

E. 1, 2, 3, and 4

Step-by-step explanation:

Well all them are equal,

both rectangles in part 2 has a 3cm^2 area.

Both red and green in part 4 has 2 squares and 1 triangle or half of a square.

Both of part 3 have all the same shapes in them.

Same with part 1 both shapes have same area and perimeter.

Thus, answer choices E. 1,2,3, and 4 is correct.

Step-by-step explanation:

line A can be written as y1= 3/4.x -5/4

line B is a linear function : y2= ax +b

4a+b=7 and -a +b =3 so a=4/5 and b=19/5

so y2=4/5x +19/5

so they are not parallel

Line A goes through (0,-5/4) and (1,-1/2)

Gradient of line A = G1= (-1/2 - (-5/4))/(1-0) =3/4=0.75

Gradient of line B= G2= (7/3)/(4-(-1))=4/5=0.8

The Line A and Line B are not parallel to each other.

The equation of line A is,

                           [tex]3x-4y=5[/tex]

Now write in slope intercept form,

                       [tex]3x-4y=5\\\\4y=3x-5\\\\y=\frac{3}{4} x-\frac{5}{4}[/tex]

Slope of line A is [tex]\frac{3}{4}[/tex].

Equation of line B is,

                    [tex]y-7=\frac{3-7}{-1-4}(x-4) \\\\y-7=\frac{4}{5} x-\frac{16}{5}\\ \\y=\frac{4}{5} x+\frac{19}{5}[/tex]

Slope of line B is [tex]\frac{4}{5}[/tex]

Since, the slope of both line A and B are different. therefore, Line A and Line B are not parallel to each other.

Learn more about the parallel lines here:

https://brainly.com/question/24607467

Answer:

Step-by-step explanation:

16. m<CAD + m<DAE = [tex]90^{O}[/tex]  -  Definition of complementary angles

18.  m<CAD + m<DAE = m<CAE =  [tex]90^{O}[/tex]   -  Substitution property

20. m<CAE =   [tex]90^{O}[/tex]                      -  Definition of perpendicular

21. AE ⊥ AC  -  AE is tangent to circle C

To prove that AE is tangent to C. Given that CA is the radius of circle C,

Then,

m<CAD + m<DAE = [tex]90^{O}[/tex]

So that,

AE ⊥ AC

Thus, AE is tangent to C.

Answer:

Step-by-step explanation:

Choose all the situations that are best modeled by a rational inequality.

(A) There is definitely an imbalance here because the value of t is unknown and could be any number. We just know it's a positive number because it is measured in hours or its unit is hours.

If t is 2hours for instance, the statement would hold no water.

The other options are unclear!

(B) and (C) - You did not give the values for the length and area of the rectangle, in each case.

(D) No numbers/values present. The quotient cannot be verified hence.

(E) Incomplete information

Answer:

I took the L for ya'll T_T

Step-by-step explanation: