The expression 3200(1.06)^t represents the
enrollment of a high school t years after 2000.
describe how the enrollment changes
each year.
a. increases 1.06%
b. increases 6%
c. decreases 1.06%
d. decreases 6%

Answer:

y (y/1)

Step-by-step explanation:

the reciprocal of a number is basically what it needs to multiply to to equal to one

so basically you flip the numbers

1/y s reciprocal would be y/1 which is also just y

Answer: y

Step-by-step explanation:

Answer:

b/4

Step-by-step explanation:

After rewriting the quotient as a fraction,

[tex]\dfrac{2ab}{8a}[/tex]

We can look for common factors to reduce it. 8a and 2a both have the common factor 2a, and since 2a = 1 · 2a and 8a = 4 · 2a, we can reduce our fraction down to

[tex]\dfrac{1\cdot2a\cdot b}{4\cdot2a}=\dfrac{1\cdot b}{4}=b/4[/tex]

Answer:

1. See attached

2. largest value = 3 ³/₄ in

3. smallest value = 1 ¹/₂ in

4. It snowed 3 ¹/₄ inches for 3 days

5. To find the two values, add 3 to the smallest value:

⇒ 1 ¹/₂ + 3 = 4 ¹/₂ in

Or subtract 3 from the largest value:

⇒ 3 ³/₄ - 3 = ³/₄ in

We know:

[tex]{{ \diamond\diamond \quad{ \boxed{ \pink{ \sf{Volume \: of \: Sphere ={ \large{ \frac{4}{3} \pi {r}^{3} }}}}}}} \quad \diamond \diamond}[/tex]

where,

[tex] \: [/tex]

[tex]{\longrightarrow {\sf{Volume \: of \: Sphere \: = \: { \large {\frac{4}{3} \times \frac{22}{7} \times {6}^{3} }}}}}[/tex]

[tex] {\longrightarrow {\sf{Volume \: of \: Sphere \: = \: { \large{ \frac{88}{21} \times 6 \times 6 \times 6 }}}}}[/tex]

[tex] {\longrightarrow {\sf{Volume \: of \: Sphere \: = \: { \large{ \frac{88}{21} \times 216 }}}}} [/tex]

[tex] {\longrightarrow {\sf{Volume \: of \: Sphere \: = \: { \large{ \frac{19008}{21} }}}}} [/tex]

[tex] {\longrightarrow {\sf{Volume \: of \: Sphere \: = \: { \large{ { \boxed{ \red{ \sf{905.14 {yards}^{3} }}}}}}}}} [/tex]

Thus, The volume of Sphere is 905.14yards³. (Approx.)

Answer:

337

Step-by-step explanation:

I remember this from UKMT maths challenge.

Let the number of kangaroos in each of the seven parks be , , , , , and with the

corresponding number of koalas being , , , , , and . The question tells us that the

number of kangaroos in any park is equal to the sum of the numbers of koalas in the other six

parks. Therefore we have

= + + + + + ,

= + + + + + ,

= + + + + + ,

= + + + + + ,

= + + + + + ,

= + + + + + ,

= + + + + + .

Adding these equations, we obtain

+ + + + + + = 6( + + + + + + ).

The total number of kangaroos in the seven parks is 2022. Hence

+ + + + + + = 2022.

Therefore

2022 = 6( + + + + + + )

and hence the total number of koalas in the seven parks is

+ + + + + + = 2022 ÷ 6 = 337.

Answer:

is the answer 2 3/4

Step-by-step explanation:

Answer:

[tex]800\pi yd^3[/tex]

Step-by-step explanation:

[tex]A = 10\pi ^2(8)\\= 800\pi yd^3[/tex]

Answer: 2513.27 yd³

Step-by-step explanation:

     Volume of a cylinder:

-> This formula means we are finding the area of the base circle and multiplying it be the height

V = πr²h

V = πr²h

V = π(10)²(8)

V ≈ 2513.27 yd³

The volume of the figure is about 2513.27 yd³.

Answer:

BA=15

CA=15/2=7.5

[tex] cb \:= \frac{15 \sqrt{3}} {2} = 13[/tex]

Answer:

Step-by-step explanation:

Answer:

C = 28.26 in

Step-by-step explanation:

the circumference (C) is calculated as

C = πd ( d is the diameter ) , then

C = 3.14 × 9 = 28.26 in

[tex]\rule{300}{1}\\\dashrightarrow\large\blue\textsf{\textbf{\underline{Given question:-}}}[/tex]

                 What's the circumference of a circle with a diameter of 9 inches?

[tex]\dashrightarrow\large\blue\textsf{\textbf{\underline{Answer and how to solve:-}}}[/tex]

  We are asked to find the circumference of a circle, which we can find using the following formula:-

[tex]\bold{Circumference{(circle)}=\pi d}[/tex]

[tex]\hookrightarrow\sf{C=3.14\times9}[/tex]

[tex]\bigstar[/tex] On simplification,

[tex]\hookrightarrow\sf{C=28.26\:inches}[/tex]

Notice that we are not asked to round our answer, so we leave it like that - C=28.26.

                  [tex]\rule{200}{2}[/tex]

Answer:

A Tens place.

Step-by-step explanation:

last 2 digits are twenty six.

Answer:

5x^2 - 4x - 3 = 0

Step-by-step explanation:

For the equation

ax^2 + bx + c = 0

the  roots are   [-b +/- √(b^2 - 4ac)] / 2a

So comparing the terms to the values in the question:

a = 5

b = -4

c = -3

The surface area of the solid is the sum of all the net shapes. The surface area of the solid that this net can form is  730mm²

The surface area of the solid is the sum of all the net shapes.

Given the following parameters

The rectangle has a base of 25 millimeters and a height of 21 millimeters will have an area of 525mm²

The other rectangle has a base of 41 millimeters and height of 5 mm has an area of 205mm²

TSA = 525 + 205
TSA = 730mm²

Hence the surface area of the solid that this net can form is  730mm²

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Answer:

The average mass of one coffee bag is 75kg.

Step-by-step explanation:

The lorry on its own weighs 3500kg.

If it weighs 7250kg alongside coffee bags, we can make the assumption that to find the total mass of the coffee bags, we must take the combined total and subtract the lorry's weight from it.

7250kg subtract 3500kg is 3750kg.

There are 50 coffee bags, so this is the mass of all 50.

If we want to find the mass of one coffee bag, we have to divide the mass of 50 coffee bags by 50.

3750kg divided by 50 is 75kg.

The average mass of one coffee bag is 75kg.

Answer:2

Step-by-step explanation:

Answer:

35 ways

Step-by-step explanation:

[tex]_7C_4=\frac{7!}{4!(7-4)!}=\frac{7!}{4!*3!}=\frac{7*6*5}{3*2*1}=\frac{210}{6}=35[/tex]

Therefore, Dwight can arrange his schedule in 35 ways if he must pick 4 out of 7 courses to choose from.

Answer:

P': (3, 0)

Q': (4, 2)

R': (3, 4)

S': (2, 2)

Step-by-step explanation:

A rhombus, PQRS, has vertices at the points P(6, 2), Q(7, 4), R(6, 6) and S(5, 4). PQRS is translated 3 squares left and 2 squares down.

Rule: (x - 3, y - 2)

1. Using the given rule, find the new coordinates of the new image:

P': (6, 2) ➺ (6 - 3, 2 - 2) ➺ (3, 0)

Q': (7, 4) ➺ (7 - 3, 4 - 2)  ➺ (4, 2)

R': (6, 6) ➺ (6 - 3, 6 - 2) ➺ (3, 4)

S': (5, 4) ➺ (5 - 3, 4 - 2) ➺ (2, 2)

New coordinates:

P': (3, 0)

Q': (4, 2)

R': (3, 4)

S': (2, 2)

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Answer:

(6-2)÷3=1

this is the answer

follow me :)))

Answer:

hypotenuse

Step-by-step explanation:

A hypotenuse is the longest side of a right triangle. It's the side that is opposite to the right angle (90°)

To find the perimeter of a shape you add all the side lengths together.

Perimeter of A is 20cm because 7+7+3+3=20

Perimeter of B is 27cm because 9+8+10=27

Perimeter of C is 17cm because 6+6+5=17

Perimeter of D is 34cm because 10+10+4+4+3+3=34

On shape E there is one side length that we do not know. To find that do 8-3=5 because 5+3 would be the opposite side of the 8. Now do 5+8+8+4+12+3=40 cm which is the perimeter of shape E.

I hope this helps you have a good day

Answer:

9. 21

10. QP, 8, 18

Step-by-step explanation:

9.

2(4x-65) = 2x-4

6x = 65*2-4 = 126

x = 21

10.

a. QP

b. 8

c. 18

Answer:

Answer = 39.25 or 39 if rounded to the nearest whole number

Step-by-step explanation:

The formula for finding the volume of a cone is h(pi)(r^2)/3. We know that the height is 6 and the diameter is 5. Since we know the diameter we know that the radius is 2.5 since it is one half of the diameter. Now that he know the radius and height we can plug the values into the equation to get V=39.25

Hope that helps! :)

Answer:

41,257

Step-by-step explanation:

100,000

-

58,743

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

41,257

The amount that is needed to reach the goal is $41257 if the annual fundraising goal of a college is $100,000. so far $58,743 has been raised.

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

It is given that:

The annual fundraising goal of a college is $100,000.

Let x be the amount that is needed to reach the goal.

The linear equation in one variable can be framed as follows:

x + 58,743 = 100,000

x = 100,000 - 58,743

x = $41257

Thus, the amount that is needed to reach the goal is $41257 if the annual fundraising goal of a college is $100,000. so far $58,743 has been raised.

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Answer:

Step-by-step explanation:

A prism has a uniform cross-section equal in area to its base area. The volume of a prism is the product of this cross-section area and the length between the parallel bases.

__

A pyramid or cone has a cross section whose linear dimension is directly proportional to the distance from the peak. The volume is 1/3 of the product of the base area and the height.

  V = (1/3)Bh . . . . . formula for volume of a pyramid

__

Since the pyramid volume is 1/3 that of a prism with the same overall dimensions, the prism has 3 times the volume of the pyramid.

Answer:

390 miles

Step-by-step explanation:

90/3 = 30

30x13 = 390

Answers:

Across:

Down:

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Explanations:

Always start with the given statements and build toward the thing you want to prove. The first line(s) will basically be restating the given facts word for word.

The term "bisect" means to "divide in two equal pieces". Angle ABC is split into the two equal pieces of angles ABD and CBD, hence ABD = CBD. Segment CK is split into the equal pieces of CM and MK, meaning that CM = MK.

The reflexive theorem says any segment is congruent to itself, so BD = BD.

Vertical angles are formed when we intersect two lines to form an X shape. The vertical angles are opposite one another and always congruent.

Alternate interior angles are always congruent when we have parallel lines.

The AAS (angle angle side) congruence theorem says that two triangles are congruent if we have two pairs of congruent angles, and a pair of congruent sides. The congruent sides are not between the angles mentioned. The order matters.

AAS is slightly different from ASA. With ASA, the congruent sides are between the congruent angles.

Using function concepts, it is found that since the savings account receives no interest, the quantity is changing in a linear fashion.

In this problem, the rate of change is a constant of $723 each month, hence the quantity is changing in a linear fashion.

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