A biology test is worth 100 points and has 36 questions.

a. Multiple-choice questions are worth 2 points each and essay questions are worth 6 points each. How many questions of each type are on the test?

b. Your friend says that it is possible for the multiple-choice questions to be worth 4 points each. Is your friend correct? Explain.

Answer:

individual pay (a) = cost of popcorn / number of friends

Step-by-step explanation:

Assuming the cost of the popcorn is to be split evenly among the three friends, where all three friends are to split 5.70, the pay per friend is;

individual pay (a) = 5.70 (cost of popcorn) / 3 (number of friends)

Answer:

I think personification

Step-by-step explanation:

Answer:

4x-3

Step-by-step explanation:

(7x-5) - (3x-2)

aka

(7x-5)  -1 (3x-2)

first distribute the -1 into (3x-2)

-3x+2

so

(7x-5)+ -3x+2

next combine like terms

7x-3x=4x

so

4x-5+2

then

-5+2=-3

so

4x-3 would be your simplified equation

Answer:

Step-by-step explanation:

if the equation of line p is

4x+7y=20 then the equation of line q must be

-7 x +4y=15 because perpendicular lines have

slopes with a product of -1

Answer:

242

Step-by-step explanation:

a)2+4×4-12

=2+16-12

=18-12

=6

Answer:

16

Step-by-step explanation:

You would need to use PEMDAS (parentheses, exponents, multiplication, division, Addition, Subtraction). 4x4=16 (2+16-12) 16+2=18 (18-12) =16. Hope this helps.

While solving, you can treat inequalities the exact same as you would treat equations.  Pretend the inequality sign is an equals sign.  Now solve for x.

-3x + 6 < 27

-3x < 21

3x < -21

x < -7

Answer:

y = 2(4^(x))

Step-by-step explanation:

In 2012, the park has a population of 32 lions. A year later, in 2013, the park has 128 lions.

This means in 2012, it was 2^(5) lions while after 1 year it was 2^(7) lions

Thus, it increases every year by a ratio of 2^(2)

Thus, in 2011, it was 2^(5) - 2^(2) = 2^(3) lions

In 2010, it was 2^(3) - 2^(2) = 2

Since Lions were introduced in the park in 2010, using f(x), it means;

at x = 0, f(x) = 2

at x = 1, f(x) = 2^(3)

at x = 2, f(x) = 2^(5)

at x = 3, f(x) = 2^(7)

To find an exponential function that models the situation, let's use the generic formula: y = ab^(x)

At x = 0 and y = 2, we have;

2 = a × b^(0)

Thus,a = 2

At x = 1, y = 2^(3)

Thus; 2^(3) = 2 × b^(1)

b = 8/2

b = 4

So the exponential equation is;

y = 2(4^(x))

You can use the fact that the given figures are expressible as 2 raised to some powers.

The exponential function modeling the number of lions to the years passed since 2010 is given as

[tex]f(x) = 2^{1+2x}[/tex]

Those functions which are expressed as some constant raised to the power of the argument called exponential function.

Since 2012  - 2010 = 2 and the number of lions = 32 = [tex]2^5[/tex]

and 2013 -2010 = 3 and the number of lions =128 = [tex]2^7[/tex]

Thus, there is increment of 2 exponent as 1 year was changed.

Thus, we have:

[tex]f(x) = 2^{2x + a}[/tex] where a might be some constant( i took this form of exponent just by trial and error. It was already visible that one year was increasing double output, thus 2x and since there was just double increase and no other effect, there might be some non variable thing(a constant) so i thought to try some variable and see if this can work)

Since at x = 2, we get 2 raised to the power 5

thus.

[tex]2(2) + a = 5\\a = 1[/tex]

Thus,

The exponential function modeling the number of lions to the years passed since 2010 is given as

[tex]f(x) = 2^{1+2x}[/tex]

You can see that this will give correct output for x = 2 and x = 3

Learn more about exponential functions here:

https://brainly.com/question/15680851

Answer:

Y-intercept: (0, 0.4)

X-intercepts: (0.3, 0)

Answer:

The y-intercept is (0, 0.4), and the x-intercept is (0.3, 0)

Step-by-step explanation:

To find the intercepts of the line, you need to see what points lie on the x and y-axis.

Answer:

if a=5 and b=7 so (a+b)=(5+7)=12

(a-b)=5-7= -2

Answer:

(a+b) =12

(a-b) =. - 2

Step-by-step explanation:

You will put the numbers given as a=5 and b=6

In to the value of (a+b) and (a-b)

So it will be

*(a+b) =(5+7)

=(12)

*(a-b) =(5-7)

=(-2)

Answer:

2x+7

Step-by-step explanation:

Answer:

5/6 rup of raisins?

Step-by-step explanation

Sorry if that is wrong

Answer:

The value of (f о h) (2) is 2

Step-by-step explanation:

Let us solve the question

In the composite function (f о h) (x) we substitute x in f(x) by h(x)

∵ f(x) = 2x² - 9x + 2

∵ h(x) = x² - 4

∵ We need to find (f о h) (2)

→ That means use x = 2

∴ x = 2

We will find at first h(2), then substitute x in f by the answer of h(2)

∵ x = 2

∵ h(2) = (2)² - 4

∴ h(2) = 4 - 4

∴ h(2) = 0

Now substitute x in f by 0

∵ x = 0

∵ f(0) = 2(0)² - 9(0) + 2

∴ f(0) = 0 - 0 + 2

∴ f(0) = 2

∴ (f о h) (2) = 2

Answer:

6)b

7)a

8)a

9)a

1)c

2)a

3)c

4)b

5)b

Answer:

18.76

Step-by-step explanation:

28.6 - 9.84 = 18.76

Answer: Hope this helped(tried my best thinking what the question was asking)

x=0

y=-3

Step-by-step explanation:

(Im going to add and subtract)

Add:

14x-12y=36

14x+9y=-27

28x-3y=9

Subtract:

-14x+12y=-36

14x+9y=-27

21y=-63

y=-3 (substitute in first equation)

7x+18=18

7x=0

x=0

SO

y=-3 and x=0

Answer:

x=91, y=91, z=39

Step-by-step explanation:

the angles add up to 180 so find the difference ex. 51+38=89, 180-89=91 so x is 91

Answer:

B.

Step-by-step explanation: B.

Answer:

B.

Step-by-step explanation:

Answer:

4. (-8) - (+3)

Step-by-step explanation:

This answer does not result in an answer of -5

This subtracts -3 from -8, which gives you the answer of -11.

So, this answer is correct because it is the one that doesn't result in -5.

Answer:

Problem #4

Step-by-step explanation:

Some things to remember when doing problems like are

Double negative = positive

Double positive = positive

Negative & positive = negative

1. (-7) + (+2)          2. (-11) + (+6)        3. (-9) - (-4)        4. (-8) - (+3)

    -7 + 2                   -11 + 6                  -9 + 4                -8 - 3

       -5                          -5                         -5                     -11

Answer:   a square with side length 4 inches

a 2 inch by 8 inch rectangle

a heart-shaped base with an area of 16 square inches

Step-by-step explanation: The given height is 5. Any base with an area of 16 square inches will be an acceptable base.

For example, if the circular base had a radius of about 2.257 inches, its area would be 16 square inches

(2.257)² ≈ 5.093

5.093 × 3.1416 ≈ 16

16 × 5 = 80

The base for this prism should be like

a square with side length 4 inches.

a 2 inch by 8 inch rectangle.

a heart-shaped base with an area of 16 square inches.

Since

The given height is 5.

Any base with an area of 16 square inches should be considered as an acceptable base.

Like if the circular base had a radius of about 2.257 inches, its area would be 16 square inches

So, it be like

(2.257)² ≈ 5.093

Now

5.093 ( 3.1416) ≈ 16

16 ( 5) = 80

Learn more about prism here; https://brainly.com/question/24606047

Answer:

He travels 165 miles

Step-by-step explanation:

Answer: See explanation

Step-by-step explanation:

x = 10

y = 7

5x - 6y = 18

5 (10) - 6 (7) = 18

50 - 42 = 18

8 ≠ 18

The coordinates can't be (10, 7)

I barely understood the question but I hope I helped!

Step-by-step explanation:

The terms 9√x - 3√x have a common factor of √x.

Therefore 9√x - 3√x = √x * (9 - 3) = 6√x.

Answer:

92/69 cannot be simplified

Step-by-step explanation:

Answer:

721084490

Step-by-step explanation:

Answer:

12

Explanation:

21 ÷ 7 × 4

21 ÷ 7 = 3

3 * 4 = 12

Answer:

12

Step-by-step explanation:

So..... multiplication can be done at the same time as division, so we don't have to worry about the order of operations :)

so, 21 divided by 7 is 3

then, you multiply 3 by 4, which is 12

and btw, I also found another methoddddddddddddd

you can do, 21 times 4, which is 84, divided by 4 times 7, which is 28

84 divided by 28 is 3

then you multiply it by 4, it gives 12

and btw, that also works for other numbers too!!!!!!!!!!!!

Answer:

ggggvx

Step-by-step explanation:

cddfvdcvv

Answer:

B.68.......................