12. The number of mold spores in the school bathroom sink started at 4. The number of spores doubled every day. The equation f(x)=4•2^x models the situation. How many mold spores will
there be after 6 days?
spores

Answer:

3

Step-by-step explanation:

Look at the 3 above the term x^3. Before x is basically a 1. 1x^3. Hence, the answer is 3.

Answer:

The coordinates of the image ABC will be:

Step-by-step explanation:

Given the vertices of an original triangle

We know that when an object is dilated by a scale factor, it gets reduced, stretched, or remains the same, depending upon the value of the scale factor.

If the scale factor > 1, the image is enlarged

If the scale factor is between 0 and 1, it gets shrunk

If the scale factor = 1, the object and the image are congruent

Rule to calculate the dilation by a scale factor 1/2 centered at the origin

P(x, y) → P'(1/2x, 1/2y)

so

A(6, 6) → A'(1/2(6), 1/2(6))  → A'(3, 3)

B(12, 12) → B'(1/2(12), 1/2(12))  → B'(6, 6)

C(30, 24) → C'(1/2(30), 1/2(24))  → C'(15, 12)

Therefore, the coordinates of the image ABC will be:

Answer: Y = -12.25

Step-by-step explanation:

Answer:

-4.75

Step-by-step explanation:

5(-3) - 4y = 34

-15 - 4y = 34

-4y = 19

y = -4.75

Answer:

Step-by-step explanation:

( -1, 14 ) and (9, 14) notice the y coordinate is the same and the distance between points is 10 (from -1 to 0 is 1 and from 0 to 9 is 9 , 1+9 =10)

The axis of symetry is in the middle between the points so is at

x= (9- 10/2) = 9-5 =4

x=4

point (2, 2), vertex (5, -2.5), equation y= a(x-h)²+k

where h=5, k= -2.5, x=2, y=2 so substitute

2= a( 2-5)² -2.5

2= 9a -2.5

2+2.5 = 9a

4.5/9 =a

0.5 = a

Answer:

I tldon?t really understand but I think The answer is

Step-by-step explanation:

8 goes with 56, 4 goes with 8, 7 goes with 7, 5 goes with 60, 9 goes with 64 I think. That Is all I understand Of the Question Sorry .

The value of x and y are 42/5 and 55/6 after using the property of a similar triangle.

It is defined as the law to prove that the two triangles have the same shape, but it is not compulsory to have the same size. The ratio of the corresponding sides is in the same proportions and the corresponding angles are congruent.

We have two triangles shown in the picture.

By using the property of a similar triangle:

y/7 = 11/x = 6/5

y/7 = 6/5

y = 42/5

11/x = 6/5

x = 55/6

Thus, the value of x and y are 42/5 and 55/6 after using the property of a similar triangle.

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Answer:

Answer Below

Step-by-step explanation:

tan(D): yes

sin(F): yes

Cos(F): no

Sin(D): no

Answer:

tan(D): yes

sin(F): yes

Cos(F): no

Sin(D): no

Step-by-step explanation: Solve for values of all, then check if the equation makes sense.

Answers:

=================================================

Work Shown:

We'll use the template y = ax^2 + bx + c

The system of equations is

[tex]\begin{cases}4a+2b+c = 3\\36a+6b+c = 9\\64a+8b+c = 0\end{cases}[/tex]

We have 3 equations and 3 unknowns.

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

Let's solve the first equation for c

4a+2b+c = 3

2b+c = 3-4a

c = 3-4a-2b

c = -4a-2b+3

Plug that into the second equation and simplify

36a+6b+c = 9

36a+6b+(-4a-2b+3) = 9

32a+4b+3 = 9

32a+4b = 9-3

32a+4b = 6

2(16a+2b) = 6

16a+2b = 6/2

16a+2b = 3 .... we'll use this later

Plug that value of c into the third equation as well

64a+8b+c = 0

64a+8b+(-4a-2b+3) = 0

60a+6b+3 = 0

3(20a+2b+1) = 0

20a+2b+1 = 0

20a+2b = -1

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

We have a new system of equations. This time it deals with 2 variables instead of 3. We can think of this as a reduced equivalent system.

[tex]\begin{cases}16a+2b = 3\\20a+2b = -1\end{cases}[/tex]

Note how subtracting the terms straight down has the b terms canceling (since 2b-2b = 0b = 0)

The 'a' terms subtract to 16a-20a = -4a

The terms on the right hand side subtract to 3-(-1) = 3+1 = 4

We end up with the equation -4a = 4 which solves to a = -1

Use this value of 'a' to find b

16a+2b = 3

16(-1)+2b = 3

-16+2b = 3

2b = 3+16

2b = 19

b = 19/2

b = 9.5

Now use the values of a and b to find c

4a+2b+c = 3

4(-1)+2(9.5)+c = 3

-4+19+c = 3

15+c = 3

c = 3-15

c = -12

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

Summary:

The values of a,b,c we found were

So the function is

f(x) = -x^2 + (19/2)x - 12

which is equivalent to

f(x) = -x^2 + 9.5x - 12

To check this answer, plug in x = 2, x = 6, x = 8 one at a time. You should get y = 3, y = 9 and y = 0 in that order.

Answer:

f(x)=-x^2+9.5-12

Step-by-step explanation:

- for the first box

9.5 for the second box

-12 for the third box

Answer:

1. Y= 5-3x

2. Y= -4-x

3. Y= -9-x

4. Y= 11-3x

5. Y=2x=5

Answer:

Step-by-step explanation:

Expression to show the cost of t teacher tickets and s student tickets:

Answer:

x = [tex]\sqrt{65}[/tex]

Step-by-step explanation:

The altitude of the triangle must equal 4 because it is a right triangle with another leg of 3 and a hypotenuse of 5 (reason is due to the pythagorean theorem)

Therefore, the triangle on the right has legs of 4 and 7 and, again, use the phythagorean theorem to find 'x' (the hypotenuse)

[tex]4^{2}[/tex] + [tex]7^{2}[/tex] = [tex]x^{2}[/tex]

16 + 49 = [tex]x^{2}[/tex]

65 = [tex]x^{2}[/tex]

x = sq rt 65

Answer:

5 loaves and 4

Step-by-step explanation:

Answer:

SRT

Step-by-step explanation:

Answer:

obtuse angle

Step-by-step explanation:

a L is a right angle, a right angle is 90 degrees.  if the angle is more then 90 degrees and looks like its being stretched it is obtuse. and if it is smaller then 90% and looks like it is being squashed it an acute angle.

Answer:

Concept: Constant time

Answer:

$95

Step-by-step explanation:

Divide.

209 / 11 = 19

Multiply.

19 * 5 = 95

Best of Luck!

Answer:

the answer is $3037.50

Step-by-step explanation:

%9 = 0.9

by multiplying 0.9 to 7500 we get 675

once we get this we must multiply it by the number of years

4 and 1 half or 4.5 times 675 gives us our answer my friend ;)

Answer: 13a-6b

Step-by-step explanation:

Answer:

13a - 6b

Step-by-step explanation:

6a + 5a - b - 5b + 2a

~Combine like terms

13a - 6b

Best of Luck!

Answer:

69.4 inches

Step-by-step explanation:

62 + 72 + 73 + 69 + 71 = 347

347 / 5 = 69.4

Answer:

$61.35

Step-by-step explanation:

95-33.65

Answer:

x ≈ 58.9

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Geometry

Step-by-step explanation:

Step 1: Define

We are given a right triangle. We can use trig to find the missing side length.

Step 2: Identify Variables

POV from the angle measure

Angle = 23°

Opposite Leg = 25

Adjacent Leg = x

Step 3: Solve for x

Answer: A is

Step-by-step explanation: its the only one that follows the rules

Answer:

4.75

Step-by-step explanation:

Equation:8x-6=32

8x=38

x=4.75

The value of x from the equation 8x - 6 = 32 is x = 4.75

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is given by

8x - 6 = 32   be equation (1)

On simplifying the equation , we get

Adding 6 on both sides of the equation , we get

8x = 38

Divide by 8 on both sides of the equation , we get

The value of x = 4.75

Therefore , the value of x is 4.75

Hence , The value of x from the equation 8x - 6 = 32 is x = 4.75

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Answer:

x = 12

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

-10(x + 9) + 14x = -42

Step 2: Solve for x

13 BY THE POWER OF 7  

Step-by-step explanation:

Answer:

13^7

Step-by-step explanation:

13^7 is equal to multiplying the same number 7 times ,/////,

Answer:

[tex]-8f(0) +4g(-8)=-32[/tex]

Step-by-step explanation:

Given

See attachment

Required

[tex]-8f(0) +4g(-8)[/tex]

From the attachment;

[tex]f(0) = 1[/tex]

and

[tex]g(-8) = -6[/tex]

Substitute these values in [tex]-8f(0) +4g(-8)[/tex]

[tex]-8 * 1 + 4 * -6[/tex]

[tex]-8 -24[/tex]

[tex]-32[/tex]

Hence:

[tex]-8f(0) +4g(-8)=-32[/tex]

Answer:

C

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Step-by-step explanation:

y=-4/5x-2-1

y=-4/5x-3

y/4=5x-3

(y/4)-3 =5x

(y-12)/4=5x

The solution for y will be y = -4/5x-3

Numbers, symbols and operators grouped together that show the value of something.

Given an expression, 1+y=-4/5x-2

Solving for y, we get

1+y=-4/5x-2

y = -4/5x-2-1

y = -4/5x-3

Hence, The solution for y will be y = -4/5x-3

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Answer:

D.

The range and the IQR will both change.

Step-by-step explanation:

PLATO

The correct answer is C. The IQR will stay the same, but the range will change.

To determine what will happen to the range and the IQR of this data set if the outlier is not included, we first need to identify the outlier.

One way to identify an outlier is to use the 1.5 x IQR rule. According to this rule, any data point that is more than 1.5 times the IQR away from the first or third quartile is considered an outlier.

Using this rule, we can calculate the IQR of the data set:

Arrange the data set in order from smallest to largest:

26 28 29 31 33 33 34 35 36 37 38 39 41 43 60

Find the median, Q₂, of the data set. In this case, Q₂ = 36.

Divide the data set into two halves: the lower half, which includes all values less than or equal to Q₂, and the upper half, which includes all values greater than or equal to Q₂:

Lower half: 26 28 29 31 33 33 34 35

Upper half: 36 37 38 39 41 43 60

Find the median, Q₁, of the lower half. In this case, Q₁= 30.

Find the median, Q₃, of the upper half. In this case, Q₃ = 41.

Calculate the IQR as the difference between Q₃ and Q₁: IQR = Q₃ - Q₁ = 11.

Multiply the IQR by 1.5: 1.5 x 11 = 16.5.

Add 16.5 to Q₃ and subtract 16.5 from Q₁ to get the upper and lower bounds for outliers:

Upper bound: Q₃ + 16.5 = 57.5

Lower bound: Q₁ - 16.5 = 13.5

Any value outside this range is considered an outlier.

In this data set, the value 60 is greater than the upper bound of 57.5, so it is an outlier.

Therefore, the correct answer is C. The IQR will stay the same, but the range will change.

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Answer:

is there a multipe choice?

Answer: 13-10=3

Step-by-step explanation:

Answer: