Find the surface area of the pyramid shown below. The base is a rectangle and the opposite
triangular faces are the same size and shape.

Answer: [tex]x^2+2x+1=36[/tex]

Step-by-step explanation:

[tex]x^2+2x-35=0[/tex]

add 35 on both sides.

[tex]x^2+2x-35+35=0+35[/tex]

[tex]x^2+2x=35[/tex]

take the value of b (2) divide it by 2 and square it.

[tex]x^2+2x+(\frac{b}{2})^2 =35+(\frac{b}{2})^2[/tex]

[tex]x^2+2x+(\frac{2}{2})^2 =35+(\frac{2}{2})^2[/tex]

[tex]x^2+2x+(1)^2=35+(1)^2\\x^2+2x+1=35+1\\x^2+2x+1=36[/tex]

Answer:

1 for the first box and 35 for the second one.

Step-by-step explanation:

Answer:

452 + (783-546)

Step-by-step explanation:

Using BEDMAS you would do the brackets first to find the difference of 783 and 546 then you would add 452.

452+(783-546)

452+237

=689

Answer:

56.54 m

Step-by-step explanation:

C = 2πr = 2 x 3.14 x 9 = 56.54867

We have been given an equation [tex]x+4=x^2[/tex]. We are also told that x is greater than 0. We are asked to choose the equation that can be written as our given equation.

Since x is greater than, so we will take positive root on both sides of our given equation as:

[tex]\sqrt{x+4}=\sqrt{x^2}[/tex]

[tex]\sqrt{x+4}=x[/tex]

Upon looking at our given choices, we can see that option C is same as our answer.

Therefore, option C is the correct choice.

Answer: sqrt x +4=^2

Step-by-step explanation:

C in Ed

Answer:

Soil A mean: 71.8

Soil B mean: 72

Soil A MAD: 8.16

Soil B MAD: 5.4

Soil A set is more variable because it has a greater MAD. This feature is also seen in the stem-and-leaf plot, where Soil A set is more spread than Soil B set

Step-by-step explanation:

Soil A | |Soil B  

          |5|9  

5 2 1 1|6|3 9  

  5 1 0|7|0 2 3 6 7 8  

      2 1|8|3  

        0|9|

Soil A mean: (65 + 62 + 61 + 61 + 75 + 71 + 70 + 82 + 81 + 90)/10 = 71.8

Soil B mean: (59 + 63 + 69 + 70 + 72 + 73 + 76 + 77 + 78 + 83)/10 = 72

Soil A MAD: ( |65 - 71.8| + |62 - 71.8| + |61 - 71.8| + |61 - 71.8| + |75 - 71.8| + |71 - 71.8| + |70 - 71.8| + |82 - 71.8| + |81 - 71.8| + |90 - 71.8|)/10 = 8.16

Soil B MAD: ( |59-72| + |63-72| + |69-72| + |70-72| + |72-72| + |73-72| + |76-72| + |77-72| + |78-72| + |83-72| )/10 = 5.4

Answer:

B

Step-by-step explanation:

Answer:

True

Step-by-step explanation:

Because its at a 90 degree angle

Answer:

False

Step-by-step explanation:

Because I calculated the angles which were the numbers and it didn't add up to 90 degrees.

Answer:

hope I helped also good bless u and your family

Step-by-step explanation:

An exponential function is a mathematical function of the following form: f ( x ) = a x. where x is a variable, and a is a constant called the base of the function. The most commonly encountered exponential-function base is the transcendental number e , which is equal to approximately 2.71828.

Answer:

2

Step-by-step explanation:

Answer:

3. I already know I'm right, like no cap.

Answer: T-50 R0,90(x,y)

Answer:

54

Step-by-step explanation:

45,776 is exactly 1,000 times bigger than 45.776, as you can move the decimal point in 45.776 three places to the right to match the value of 45,776.

To determine how many times bigger 45,776 is than 45.776, we simply divide the larger number by the smaller number:

45,776 is 1,000 times bigger than 45.776.

Step-by-step explanation:

5m4 + 7 - m3 + 7m3 - 7m2 + 1

Solving like terms

5m4 + 6m3 - 7m2 + 8

Measurements shorter than 1 meter are usually in centimeters and millimeters; for example, the length of a hand or the size of a small worm. Longer measurements such as the length of a street or the distance between towns are in meters or kilometers.

In the metric system, the length measurements shorter than 1 meter include centimeters (cm) and millimeters (mm). To identify which measurements are shorter than 1 meter, we can consider the size or distance involved. Some options include:

On the other hand, measurements that are likely to be equal to or longer than 1 meter might include:

Understanding that 1 meter is roughly the distance from fingertip to fingertip when arms are stretched out to the sides can help visualize the scale when deciding on the appropriate unit for measuring length.

Answer:

a. -4

Step-by-step explanation:

a•b = (x1 × x2) + (y1 × y2)

= (7 × 0) + (2 × -2)

= 0 - 4

= -4

Answer:

Step-by-step explanation:

let a=7i+2j

and b=-2j

a.b=(7i+2j).(0i-2j)

=0i-4j

≠0

they are not perpendicular.

Answer:

y=4x-3

Step-by-step explanation:

y=(slope)x+b

y=4x+b

Insert Point:

[tex]1=4(1)+b[/tex]

[tex]b=-3[/tex]

Answer: 0.139

Step-by-step explanation:

From  the given table, the total number of females = 252. The number of females that owned cats = 35. Therefore , the relative frequency of women that owned cats is given by -

Number of females that own cats/ Number of females

= 35/252 = 0.138888888889 = 0.139

Therefore, the relative frequency of women that owned cats is 0.139.

Answer: 0.139

Step-by-step explanation:

From  the given table, the total number of females = 252. The number of females that owned cats = 35. Therefore , the relative frequency of women that owned cats is given by -

Number of females that own cats/ Number of females

= 35/252 = 0.138888888889 = 0.139

Therefore, the relative frequency of women that owned cats is 0.139.

The correct answer is B: (1, 10).

To determine which point is also on the graph of the exponential model [tex]\(y = a \cdot b^x\)[/tex], we can use the given points (2, 50) and (3, 250) to set up a system of equations.

For the point (2, 50):

[tex]\[50 = a \cdot b^2\][/tex]

For the point (3, 250):

[tex]\[250 = a \cdot b^3\][/tex]

Dividing the second equation by the first, we get:

[tex]\[\frac{250}{50} = \frac{a \cdot b^3}{a \cdot b^2}\][/tex]

Simplifying:

[tex]\[5 = b\][/tex]

Now that we know [tex]\(b = 5\)[/tex], we can substitute this back into either of the original equations to solve for [tex]\(a\)[/tex]. Using the first equation:

[tex]\[50 = a \cdot 5^2\][/tex]

Solving for \(a\):

[tex]\[a = 50/25 = 2\][/tex]

So, the exponential model is [tex]\(y = 2 \cdot 5^x\)[/tex].

Now we can check which of the given points is on the graph:

- For point (0, 5): [tex]\(y = 2 \cdot 5^0 = 2 \cdot 1 = 2\)[/tex]

- For point (1, 10): [tex]\(y = 2 \cdot 5^1 = 2 \cdot 5 = 10\)[/tex]

- For point (4, 450): [tex]\(y = 2 \cdot 5^4 = 2 \cdot 625 = 1250\)[/tex]

- For point (5, 650): [tex]\(y = 2 \cdot 5^5 = 2 \cdot 3125 = 6250\)[/tex]

The only point that satisfies the exponential model is (1, 10). Therefore, the correct answer is B. (1, 10).

Look at the attached picture

Hope it will help you..

Answer: 15%

Step-by-step explanation: Ok, we have to find what is 30% of 50, all we have to do is...

First, we have to divide the percentage by 100 by using long division.

30 ÷ 100 = 0.3

0.3 * 50 = 15%

I hope this helps!

Answer:

IF 29:10   THEN for every 10 sec they run 29 meters will be added SO 29*60=

1740

Step-by-step explanation:

sorry if i am wrong

Answer:

1   1/2

Step-by-step explanation:

Answer:

r = 5 feet

Step-by-step explanation:

see attached for reference

recall that volume of a circular cone is given by

V = (1/3) πr²h, where

V = volume = given as 50π ft³

r = radius (we are asked to find this)

h = height of cone = given as 6 feet

Substituting the above known values into the equation:

V = (1/3) πr²h

50π = (1/3) π (r²)(6)

50π = π (r²)(2)  (divide both sides by 2)

25π = π r²   (divide both sides by π)

25 = r²

r = ±√25

r = ±5   (since radius cannot be negative, we select the positive value

r = 5 feet

Answer:

x = -4

y = -2

Step-by-step explanation:

All you need to do is plug in the number given for y into the equation:

-4x + 8y = 0

-4x + 8(-2) = 0

-4x - 16 = 0

Add 16 to both sides:

-4x - 16 = 0

     + 16  + 16

____________

-4x = 16

Finally, divide both sides by -4:

-4x = 16

x = -4

So now you have, x = -4 and y = -2

Final answer:

To find the designated sum in an arithmetic series, use the formula (n/2)(a_1 + a_n), where n represents the number of terms, a_1 is the first term, and a_n is the last term.

Explanation:

How to Find the Designated Sum in Arithmetic Series

An arithmetic series is a sequence of numbers in which the difference between consecutive terms is constant. To find the designated sum in an arithmetic series, you can use the formula:

S_n = (n/2)(a_1 + a_n)

Identify the first term (a_1), the number of terms (n), and the common difference (d) of the arithmetic series.

Use the formula a_n = a_1 + (n-1)d to find the value of the last term in the series (a_n).

Substitute the values of a_1, a_n, and n into the formula S_n = (n/2)(a_1 + a_n) to calculate the designated sum of the arithmetic series.

Answer:

80%

Step-by-step explanation:

132÷165=0.8

0.8×100=80%

80% of the plants in the school garden will flower in spring. The correct answer is [tex]$\boxed{80\%}$[/tex].

To find the percentage of plants that will flower in spring, we use the formula for percentage, which is:

 [tex]\[ \text{Percentage} = \left( \frac{\text{Number of plants flowering in spring}}{\text{Total number of plants}} \right) \times 100\% \][/tex]

Given that there are 165 different plants in total and 132 of these will flower in spring, we can substitute these values into the formula:

[tex]\[ \text{Percentage} = \left( \frac{132}{165} \right) \times 100\% \][/tex]

Now, we simplify the fraction by dividing both the numerator and the denominator by their greatest common divisor, which is 33:

[tex]\[ \text{Percentage} = \left( \frac{132 \div 33}{165 \div 33} \right) \times 100\% \] \[ \text{Percentage} = \left( \frac{4}{5} \right) \times 100\% \] \[ \text{Percentage} = 0.8 \times 100\% \] \[ \text{Percentage} = 80\% \][/tex]

Answer:

1 , 2 , 4

Step-by-step explanation:

Answer:

b. 8

Step-by-step explanation:

It's just division. 289 divided by 34=8.5 but it asks you how many whole pumpkins are kids going to take home so it would be 8 because you can't magically have that many pumpkins show up.