A study was done to investigate the relationship between a between eating sugary snacks and a test that measures a
student's memory and attention. The correlating linear model is shown below, where x represents the number of sugar
snacks a student ate, and y represents the student's test score.
Interpret the rate of change (slope).
y = -5x

Answer:

a.

Step-by-step explanation:

diameter 7cm

radius 3.5cm

area =πr²

=22/7* 3.5²

=38.47cm²

circumference=πd

=22/7* 7

=22cm

Answer:

a. C = 21.98cm and A = 38.47cm squared

Step-by-step explanation:

Diameter is twice the radius. Therefore radius, r, is 3.5cm.

Circumference = 2πr =2π(3.5)=7π=21.98cm

Area=πr²=π(3.5²)=12.25π=38.47cm²

Answer:

Present value (PV) is the current value of a future sum of money or stream of cash flows given a specified rate of return. Future cash flows are discounted at the discount rate, and the higher the discount rate, the lower the present value of the future cash flows.

How to find PV:Calculating present value is called discounting. Discounting cash flows, like our $25,000, simply means that we take inflation and the fact that money can earn interest into account.

...

Calculating Present Value Using the Formula

FV = the future value.

i = interest rate.

t = number of time periods.

Step-by-step explanation:

Answer: Present value, also known as discounted value, is a financial calculation that measures the worth of a future amount of money or stream of payments in today’s dollars adjusted for interest and inflation. In other words, it compares the buying power of one future dollar to purchasing power of one today

Step-by-step explanation:

Answer: <BAC is 28.5

Step-by-step explanation:

line AO and Line OB are congruent (both are radius of the circle)

<BAC and <OBA are congruent

<AOB is linear to BOC so 180-57= 123 <AOB is 123

Triangle AOB is Isosceles

2a+123=180

2a=57

a=28.5

Answer: 1/7

Step-by-step explanation: 12/22 • 11/21 • 10/20

The probability they will all be green apples is 0.142 if there are 10 red apples and 12 green apples in a basket.

It is defined as the ratio of the number of favourable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.

As we know,

A permutation is the number of different ways a set can be organized; order matters in permutations, but not in combinations.

It is given that:

There are 10 red apples and 12 green apples in a basket. If Vinta randomly selects 3 apples from the basket.

Total outcomes = number of ways of selecting fruits in the basket

Total fruits = 10 + 12 = 22

Total number of outcomes = C(22, 3) = 1540

Total number of favourable outcomes = C(12, 3) = 220

Probability = 220/1540

Probability = 0.142

Thus, the probability they will all be green apples is 0.142 if there are 10 red apples and 12 green apples in a basket.

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Answer:

a) yes

b) no

c) yes

Step-by-step explanation:

the sum of the 2 shorter sides must be longer than the longest side

Answer:

a and c can make a triangle.

Step-by-step explanation:

the sum of 2 sides must be greater than the last side, all the way around. so 12+14 is better than 20. but 4+8 is not better than 12

Answer:

[tex] 5\sqrt{7} [/tex]

Step-by-step explanation:

using Pythagoras theorem

[tex]d = \sqrt{ {20}^{2} - {(15)}^{2} } \\ [/tex]

[tex]d = 5 \sqrt{7} [/tex]

Step-by-step explanation:

Hyponues²= Base²+Height ²

20cm²=Base²+15cm²

400cm-225cm=H²

175=H²

5√7 Answer

Answer

Step-by-step explanation:

chord makes  or arc make 120° at the center.

sum of other two angles of triangle=180-120=60

because they are equal.

so each angle=60/2=30°

tangent line makes angle 90° with radius .

so 30+y=90

y=90-30=60°

Answer:

36

Step-by-step explanation:

No need to solve for y. The value of y is given. See it?

To find x, plug the given value of y into

4x - 3y = 18.

4x - 3(-2) = 18

4x + 6 = 18

4x = 18 - 6

4x = 12

x = 12/4

x = 3

Answer: y = -2 and x = 3.

Understand?

Answer:

X=3 y=-2

Step-by-step explanation:

4x-3y=18

4x-3(-2)=18

4x+6=18

4×=18-6

4x=12

divide both sides by 4

X=3

Answer:

circumference of circle = 2×pi×r

circumference of circle = 2×3.14×12.7

circumference of circle = 79.756 in

Answer:

Area total = 14.6

Step-by-step explanation:

The composite area from left to right is

a half circle plus a rectangle minus a triangle

Area total = π r²/2 + bh - 1/2(bh)

                = π (d/2)²/2 + bh - 1/2(b)(h triangle       use Pythagorean theorem

                = π (3/2)²/2 + 5(3) - 1/2(3)(√(3² - 1.5²)           h triangle = c² - (b/2)²

                = π 1.5²/2  + 15  -  1/2(3)(2.598)

Area total = 14.637 units²            

Answer:

It takes 1.77 hours for the population to double.

Step-by-step explanation:

Equation for population growth:

The equation for population growth, after t hours, with a growth rate parameter of r, as a decimal, is given by:

[tex]P(t) = P(0)(1+r)^t[/tex]

Growth rato parameter of 48% per hour

This means that [tex]r = 0.48[/tex]. So

[tex]P(t) = P(0)(1+r)^t[/tex]

[tex]P(t) = P(0)(1+0.48)^t[/tex]

[tex]P(t) = P(0)(1.48)^t[/tex]

How many hours does it take the size of the sample to double?

This is t for which P(t) = 2P(0). So

[tex]P(t) = P(0)(1.48)^t[/tex]

[tex]2P(0) = P(0)(1.48)^t[/tex]

[tex](1.48)^t = 2[/tex]

[tex]\log{(1.48)^t} = \log{2}[/tex]

[tex]t\log{1.48} = \log{2}[/tex]

[tex]t = \frac{\log{2}}{\log{1.48}}[/tex]

[tex]t = 1.77[/tex]

It takes 1.77 hours for the population to double.

The area of the queen sized blanket is 9 times bigger than the area baby blanket.

What is the area of a rectangle?

The area of a rectangle is the multiplication of it's length and breadth.

Here, the area of the baby blanket = 2 × 3 square feet = 6 square feet.

The area of the queen sized blanket = 6 × 9 square feet = 54 square feet.

Therefore, the ratio of the baby blanket : queen sized blanket

= 6 : 54

= 1 : 9

Hence, area of the queen sized blanket is 9 times bigger than the area baby blanket.

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Answer:

(12,0)

Step-by-step explanation:

slope m=

[tex]\frac{54-36}{27-22} =\frac{18}{5}[/tex]

[tex]y-36=\frac{18}{5}(x-22)\\\\5y-180=18x-396\\\\y=\frac{18x}{5} -\frac{46}{5}[/tex]

[tex]0=\frac{10}{5}x-\frac{46}{5}\\\\x=\frac{216}{18} =12[/tex]

hope it helps...

have a great day

Answer:

Angles and XWY and STR

Step-by-step explanation:

These two angels are alternate exterior angels because:

- They are on different sides of the transversal (the line intersecting the two parallel lines)

- They have the same angle measure

- They are exterior, meaning they are on the outside, not inside (interior)

Hope this helps!!! :)

Answer:

[tex]\angle 1 \cong \angle 7[/tex]

Step-by-step explanation:

We proceed to present which angles corresponds with [tex]\angle 7[/tex], accompained with reason based on Theorems used in Euclidean Geometry. Two angles are correspondent if and only if are in the same side of the secant line, one of them is internal and the other one is external.

Hence, we conclude that [tex]\angle 1 \cong \angle 7[/tex].

Answer:

B

Step-by-step explanation:

Answer:

52.08°

Step-by-step explanation:

Law of sine: [tex]\frac{93}{25}[/tex]=[tex]\frac{x}{14}[/tex]

93*14=25x

1302=25x

52.08=x

Answer:

one number is 2

second number if 3 1/3

Step-by-step explanation:

a = one number

b = second number

3a - b = 8

3a + b = 12

add together:

6a = 20

a = 20/6 or 10/3

find 'b':

3(10/3) - b = 8

10 - b = 8

-b = -2

b = 2

Answer:

F

Step-by-step explanation:

When your losing weight after consuming more calories, you need to increase physical activity to increase the number of calories your body uses for energy.

Answer:

hj0

Step-by-step explanation:

9514 1404 393

Answer:

Step-by-step explanation:

Opposite angles of an inscribed quadrilateral are supplementary. Inscribed angles are half the measure of the arc they subtend. (The latter statement can be used to prove the former one.)

Using these relations, we have ...

  C = 180° -E = 180° -85° = 95°

  D = 144°/2 = 72°

  F = 180° -D = 180° -72° = 108°

Answer:

::::::::::

B. y^2= -12x

Answer:

wrong subject but, kiss means i guess to lock lips in a passionate way or in a greeting way. In some countries kissing someone on the cheek or past the cheek is a sign of a greeting i believe.

In short kissing means a way to show compassion or love.

Answer:

both each side of each triangle is equal

use alphabets to mark each edge of the triangles and prove congruency

Answer: D: 10 and 11

Step-by-step explanation:

The Sq Rt of 111 is 10.5356537529 which falls between 10 and 11

Answer:

D: 10 and 11

Step-by-step explanation:

10.5356537529 10^11

and in standard notation:

105,356,537,529

Answer:

7/12 teaspoons

fraction

Step-by-step explanation:

Amount of salt that would be used = 1[tex]\frac{3}{4}[/tex] x [tex]\frac{1}{3}[/tex]

Convert [tex]1\frac{3}{4}[/tex] to an improper fraction

to convert to improper fraction, take the following steps :  

1. Multiply the whole number  by the denominator

2. Add the numerator to the answer gotten in the previous step

3. divide the number gotten in the previous step by the denominator

(1 x 4) + 3 = [tex]\frac{7}{4}[/tex]

7/4 x 1/3 = 7/12