hugh is playing a game. he spins each spinner and then multiplies the number to find the product.

Answer:

2·2·2·2 = 16

Step-by-step explanation:

everytime a number is raised by another, that means you are going to multiply the base number  times itself as many times as the exponents tells you. this is a little but tricky to explain, so let me give you some examples:

2² → in this case the base number is 2 and the exponent is 2 as well, so you will multiply 2 times itself, 2 times:

2² = 2 · 2 = 4

2³ → in this case the base number is 2 and the exponent is 3, so you will multiply 2 times itself, 3 times:

2³ = 2 · 2 · 2 = 8

In the question asked, 2 is being raised by 4, so you will multiply 2 times itself, 4 times:

2^4 = 2·2·2·2 = 16

the same format will be used regardless of the base number and the exponent

i hope this helps! :)

The equation formed after the transformations is given as follows:

[tex]g(x) = \frac{1}{6}\sqrt{x + 3}[/tex]

The parent function in this problem is defined as follows:

[tex]f(x) = \sqrt{x}[/tex]

For the vertical shrink by a factor of 1/6, the function is multiplied by 1/6, hence it is given as follows:

[tex]g(x) = \frac{1}{6}\sqrt{x}[/tex]

For the translation left 3 units, we have that x -> x + 3, hence:

[tex]g(x) = \frac{1}{6}\sqrt{x + 3}[/tex]

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Answer:

zxczxcz

Step-by-step explanation:

Answer:

no they aren't

Step-by-step explanation:

no they aren't because ..........;)

Answer:

8q - 2

Step-by-step explanation:

Use PEDMAS .

4q + 2(3q - 1) - 8q ÷ 2² = 4q + 2*3q - 2* 1 - 8q ÷ 4  

                                     = 4q + 6q - 2 - 2q          {Combine like terms}

                                     = 4q + 6q - 2q  - 2

                                     = 8q - 2                                

Answer:

8q - 2 is the answer,

Step-by-step explanation:

^^^

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

Work Shown:

L = number of students in Lee's class

F = number of students in Fred's class

Lee has 1.1 times as many students compared to Fred

This means we have this equation

L = 1.1F

Whatever the value of F is, we multiply that by 1.1 to get the value of L

The two amounts L and F add to 42 total students

L+F = 42

1.1F + F = 42 .... replace L with 1.1F

2.1F = 42

F = 42/(2.1)

F = 20 .... Fred has 20 students

L = 1.1*F

L = 1.1*20

L = 22 .... Lee has 22 students

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

Check:

L+F = 22+20 = 42

this confirms the answer

Answer:

= 55/3

Step-by-step explanation:

yw ;)

Answer:

option a is the right answer

The decay factor is the decay constant subtracted from 1.

The decay factor is (c) [tex]0.87[/tex]

We have:

[tex]T_\frac{1}{2} = 5.26[/tex]

First, we calculate the decay constant [tex](\lambda)[/tex]

This is calculated using

[tex]\lambda = \frac{0.693}{T_\frac{1}{2}}[/tex]

So, we have:

[tex]\lambda = \frac{0.693}{5.26}[/tex]

[tex]\lambda = 0.13175[/tex]

Next, we calculate the decay factor (b) using:

[tex]b =1 - \lambda[/tex]

So, we have:

[tex]b =1 - 0.13175[/tex]

[tex]b =0.86825[/tex]

Approximate to 2 decimal places

[tex]b =0.87[/tex]

Hence, the decay factor is (c) [tex]0.87[/tex]

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Answer:

1. 1.1

2. 1.13

3. 1.16

4. 1.192

5. 1.199

6. 1.24

Answer:

1.1, 1.13, 1.16, 1.192, 1.199, 1.24

Hope this helps!

Answer:

I have no clue lol

Step-by-step explanation:

jbs k hk hovlclcoyistkhdlhxdino egg

Answer: $750 same as aussie eggs

The depth of the aquarium is approximately 4 feet when rounded to the nearest whole number (since 3.64 is closer to 4 than it is to 3 when rounded to the nearest whole number).

To calculate the depth of the aquarium, we need to use the formula for volume of a rectangular prism,

which is V = lwh where V is the volume, l is the length, w is the width, and h is the height (or depth, in this case).

Given that the aquarium holds 11.35 cubic feet of water, the volume of the aquarium can be represented by V = 11.35 cubic feet.We are also given that the length of the aquarium is 2.6 feet and the width is 1.1 feet.

Substituting these values into the formula for volume,

we get:11.35 = 2.6 × 1.1 × h

Simplifying this expression:

11.35 = 2.86h

Dividing both sides by 2.6 × 1.1,

we get:h ≈ 3.64 feet (rounded to two decimal places)

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Answer:

-14

Step-by-step explanation:

I think Also 9 is wrong

Answer:

x = - 14

Step-by-step explanation:

6x - 2 (2x - 6) = - 16 Distributive property

6x - 4x + 12 = - 16 Simplify

2x + 12 =  - 16 Subtract 12

2x = - 28  Divide 2

x = - 14

Answer:

Step-by-step explanation:

only d can be correct,but not always.

let s=√8 (irrational)

t=√2  (irrational)

s/t=√8/√2=√(4×2)/√2=2√2/√2=2 (rational)

so d is true.

again take another example

let s=π (irrational)

t=√2

s/t=π/√2 (irrational)

d  is not true.

Answer:

Candy bars cost $2

Step-by-step explanation:

If you take the $22 and subtract 4 you will get $18 which 18 divided by 2 is 9 so each candy bar cost $2.

hope this helps

Answer:

55

Step-by-step explanation:

11-29*2837=29373

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e

d

d

d

d

d

d

d

f

g

Answer:

36

Step-by-step explanation:

Least common multiple (LCM) of 4 and 9 is 36. LCM(4,9) = 36. Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Hope this helps :)

The LCM or least common multiple of 4 and 9 is 36.

Least common multiple of any two is the value that is evenly divisible by the two given numbers.

Given is to find the least common multiple of 4 and 9.

The least common multiple of 4 and 9 is 36.

Therefore, the LCM or least common multiple of 4 and 9 is 36.

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Answer:

  (f/g)(x) = (x-1)/(2x-3)

Step-by-step explanation:

Factor and simplify.

  [tex](f/g)(x)=\dfrac{f(x)}{g(x)}=\dfrac{2x^2-5x+3}{4x^2-12x+9}=\dfrac{(2x-3)(x-1)}{(2x-3)^2}\\\\\boxed{(f/g)(x)=\dfrac{x-1}{2x-3}}[/tex]

Answer:

48

Step-by-step explanation:

To find one fourth, I divided 64 by 4, which gave me 16. Then, to find 3/4, I multiplied 16*3, which is 48.

Answer:

the answer is 48

Step-by-step explanation:

48 floz

Answer:

A. The function is -3s+560 Step-by-step explanation:

Answer:

Step-by-step explanation:

Neither - one intersection

Answer:

x = 6

Step-by-step explanation:

22x - 4 = 5x + 6 + 92

22x - 4 = 5x + 98

22x - 5x = 98 + 4

17x = 102

x = 6

Hope this helps!

Let me know if I'm wrong :)

Answer:

$20

Step-by-step explanation:

He spent half of his allowance going to the movies. Half of 20 is 10. He then washed the family car and earned 8 dollars. You add them together, and you get $18.

His weekly allowance was $20

The person is approximately 8.43 miles from home, and they need to walk in the direction of approximately 26.6 degrees east of north to head directly home.

To determine the distance from home, we can use the concept of vector addition. The person walks 4 miles west, which can be represented as a vector (-4, 0) in a coordinate plane. Then, they walk 5 miles southwest, which can be represented as a vector (-3.54, -3.54) since southwest is a combination of west and south. Adding these two vectors together gives us (-7.54, -3.54).

To find the magnitude or distance from home, we use the Pythagorean theorem. The distance is given by sqrt((-7.54)^2 + (-3.54)^2) = 8.43 miles (approximately).

To determine the direction to head directly home, we need to find the angle between the vector (-7.54, -3.54) and the positive x-axis. We can use trigonometry to find this angle. The tangent of the angle is given by the ratio of the y-coordinate to the x-coordinate, which is -3.54 / -7.54. Taking the inverse tangent of this value gives us approximately 26.6 degrees.

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Answer:

(Part A.)

Step 2

(Part B.)

Step 1. 2(x + 9) = 4(x + 7) + 2

Step 2. 2x + 18 = 4x + 28 + 2

Step 3. 2x + 18 = 4x + 30

Step 4. -12 = 2x

Step 5. -6 = x

Step-by-step explanation:

(Part A.)

Emily incorrectly distributes 4(x + 7). This should be 4x + 28 instead of 4x + 7.

(Part B.)

On Step 2, Emily should have properly distributed 4(x + 7) as 4x + 28. Step 4, -8 is not a coefficient of x.

V(-6,3)

subtract 8 from 2, since it is moving to the left but keep the y the same since it is not translated up or down

The compound interest formula can be used to calculate the interest rate Tumelo should invest his initial amount at.

This formula is represented as follows: FV = PV(1 + r/n) where: FV = future valuePV = present value or initial amountr = interest rate = number of compounding periods in a year and = number of yearsThis formula assumes that the interest is compounded quarterly.

Therefore, we have four compounding periods in a year. Substituting the given values into the formula:FV = PV(1 + r/n)nt28000 = 14600(1 + r/4)^(4*6)28000/14600 = (1 + r/4)^24Dividing both sides by 14600 gives:1.9178 = (1 + r/4)^24Taking the logarithm of both sides gives:

ln(1.9178) = ln[(1 + r/4)^24]Applying the logarithmic rule for exponents gives:

ln(1.9178) = 24ln(1 + r/4)Solving for r gives:r = 4[(1.9178)^(1/24) - 1]r = 0.0362 or 3.62%Therefore, Tumelo should invest his initial amount at an interest rate of 3.62%, compounded quarterly, to achieve his goal of withdrawing R28000 in 6 years.

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The correlation coefficient is 0.505 rounded to three decimal places.

The correlation coefficient is a statistic that determines the relationship between two variables, X and Y.

It is used to determine the strength and direction of the relationship between the two variables.

The correlation coefficient ranges from -1 to +1, with -1 indicating a perfect negative correlation, 0 indicating no correlation, and +1 indicating a perfect positive correlation.

The formula for the correlation coefficient is:

r = [n(∑xy) - (∑x)(∑y)] / [√{n(∑x²) - (∑x)²} × √{n(∑y²) - (∑y)²}]

where n is the number of observations, x and y are the two variables, ∑xy is the sum of the product of the two variables, ∑x and ∑y are the sums of the two variables, ∑x² and ∑y² are the sums of the squares of the two variables

Using the formula, the correlation coefficient can be calculated as follows:

Given the following data:10 15.8

Calculating the necessary sums

∑x = 10∑y = 15.8∑xy = (10)(15.8) = 158∑x² = 100∑y² = 249.64

Using the formula:

r = [n(∑xy) - (∑x)(∑y)] / [√{n(∑x²) - (∑x)²} × √{n(∑y²) - (∑y)²}]

r = [2(158) - (10)(15.8)] / [√{2(100) - (10)²} × √{2(249.64) - (15.8)²}]

r = [316 - 158] / [√(200) × √(467.68)]

r = 158 / [14.1421 × 21.6266]r = 0.505

The correlation coefficient is 0.505 rounded to three decimal places.

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here's a screenshot of the answer

Answer: (f×g)(x)

Step-by-step explanation:

12×-6= -72

3×0= 0

-6×6= -36

So h(x) is equal to (f×g)(x)