Write the following
in exponential notation 4×4×4×w×w×w×w×9

Answer:

C

Step-by-step explanation:

Answer:

x= -3

Step-by-step explanation:

5x + 15 =0

5x= -15

x= -3

Answer:

x= -3

5x= -15

x = -15/3

x= -3

The expressions that are completely factored are:

The expressions are considered correct because they have been completely factored, meaning they have been written in the form of "a common factor times another expression". This means that the expression on the right side of the equal sign can be simplified into its simplest form.

For example, in the expression 16a5−20a3=4a3(4a2−5), the 4a3 factor is common to both 16a5 and 20a3, so it can be factored out. The expression then becomes 4a3 times (4a2−5), which is the completely factored form.

Similarly, in the expression 12a3+8a=4(3a3+2a), the factor of 4 is common to both the expressions on the right side, so it can be factored out. This results in the completely factored form of 4 times (3a3+2a).

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Answer:

16a^5−20a^3=4a^3(4a^2−5)

and

24a^4+18=6(4a^4+3)

Step-by-step explanation:

Answer:

A. 5

Explanation:

12 times 5 is 60

Answer:

1) Option A: Fail to reject H0. There is insufficient evidence to support the claim that the mean tar content of filtered 100 mm cigarettes is less than 21.1 mg.  

2)Option D: The results suggest that the filters are effective

Step-by-step explanation:

We are given;

Sample size; n = 25

Sample mean; x' = 19.4 mg

Standard deviation; s = 3.52 mg

Population mean; μ = 21.1 mg

Let's state the hypotheses;

Null Hypothesis;H0: μ = 21.1 mg

Alternative Hypothesis; Ha; μ < 21.1 mg

Now, since sample size is less than 30,we will use a t-test.

Thus;

t = (x' – μ)/[s/√(n)]

t = (19.4 - 21.1)/(3.52/√25)

t = -2.415

Using an online p-value from t-score calculator as attached with the parameters t = -2.415, DF = 25 - 1 = 24, significance level = 0.05, one tailed, we have;

The p-value is 0.011885.

The calculated p-value is less than the significance level of 0.05. Thus, we will fail to reject the null hypothesis and conclude that there is insufficient evidence to support the claim that the mean tar content of filtered 100 mm cigarettes is less than 21.1 mg.

Answer:

A. 2^4*5            B. 3^3*2

Step-by-step explanation:

80/2 = 40

40 and 2

20 and 2

10 and 2

5 and 2

So we got 4 2's and one 5 bcz they prime.

27 and 2

9 and 3

3 and 3

So 2 3's and one 2 bcz they prime.

The central angle measure, x, for the Baseball slice in the circle graph is 50.4 degrees.

Given that, a survey was conducted in which 2400 people were asked to name their favorite sport to watch and the table below shows their answers: Sport percentage of people are:

Football 29%

Soccer 9%

Baseball 14%

Basketball 8%

Hockey 8%

Other 32%

We need to find the central angle measure, x, for the Baseball slice in the circle graph.

For this, we need to use the formula that gives the central angle measure in degrees for a sector of a circle:

Central angle measure = (Percentage/100) × 360°

Now, using the above formula, we can calculate the central angle measure for each sport as shown below:

Football: (29/100) × 360° = 104.4°

Soccer: (9/100) × 360° = 32.4°

Baseball: (14/100) × 360° = 50.4°

Basketball: (8/100) × 360° = 28.8°

Hockey: (8/100) × 360° = 28.8°

Other: (32/100) × 360° = 115.2°

The sum of all central angle measures should be 360°, which is the measure of a full circle.

So we can check if the calculations are correct: 104.4° + 32.4° + 50.4° + 28.8° + 28.8° + 115.2° = 360°

We see that the sum is indeed 360°, so the calculations are correct. The central angle measure for the Baseball slice is 50.4°.

Therefore, the central angle measure, x, for the Baseball slice in the circle graph is 50.4 degrees.

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Answer:

(-3/2x+1) + (3/x-1)

Step-by-step explanation:

Dont put the answer in parenthesis, I just did that to seprate it so it was easier to read. If you need it to be put in word form for it to be easier for you to understand, its "negative three divided by two x plus one, plus 3 divided by x minus 1"

First, rewrite the expression as 3x+6/2x^2+x-2x-1

Then, factor the expression, 3x+6/x*(2x+1)-(2x+1) (*=multiply)

Then, write a new fraction for each factor in the denominator, then write a new fraction, 3x+6/(2x+1)*(x-1) to (A)/2x+1 + B/x-1)

Then write terms in the numerators, for now we will use A and B.

Now we set the sum of the fractions equal to the original fraction.

3x+6/(2x+1)*(x-1) = A)/2x+1 + B/x-1).

Then reorder and group the terms, giving you 3x+6=(A+2B)x+(-A+B).

Now equate the coefficiants, {6= -A+B, 3= A+2B

Then substitute back, (A, B)=(-3, 3)

Now finally, just rewrite the fraction. (-3/2x+1) + (3/x-1)

Hope this helps! Sorry its kind of long.

Answer: It has to be b if not sorry

Answer:

c. Replace all occurrences of y with x+5 in each equation.

Step-by-step explanation:

Answer:

6n+30

Step-by-step explanation:

Step 1:

Multiply 6 and n

Step 2:

Multiply 6 and 5

Step 3:

Put together!

have a great day and thx for your inquiry :)

Answer:

the answer is A

Step-by-step explanation:

distributive property states

a(b+c)=ab+ac

therefore

6(n+5)=6n+30

The points which represents a the solution are: A, C, D and K

What are coordinates?

Coordinates can be defined as the ordered pairs in which it is used to locate any points in 2D.

The given inequalities:  y ≤ −2x + 10 & y > 1/(2x − 2)

The given points: A(-5,4), B(4,7), C(-2,7), D(-7,1), E(4,-2),

F(1,-6), G(-3,-10), H(-4,-4), I(9,3), J(7,-4) and K(2,3).

The attached figure represents the graph of the given inequalities.

The shaded area represents the solution of the inequalities.

So, the points lies in the shaded area represents the solution of the inequalities.

So, points A, C, D and K are a solution to the system of inequalities.

Note only if

If the given inequalities:  y ≤ −2x + 10 & y > (1/2x) - 2

It will be the same solution.

Hence, The  points A, C, D and K are a solution to the system of inequalities.

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Answer to How much is 5177 divided by 17 using long division ?

Math answers to fraction 5177 divided by 17 can be calculated as follows.

5177/17 math problems division = 304.529411765. Therefore 304.529411765 to 2 decimal places= 304.53

5177/17 divided by 2 » (5177/17) ÷ 2 » 304.529411765 ÷ 2 = 152.264705882

When multiplying fractions we need to multiply the numerator of one of the fractions by the numerator of the other and the denominator of one to the denominator of the other. This is done below.

Answer:

x = 2.4

Step-by-step explanation:

4x + 5 / x + 7
combine like terms

X + 4x = 5x

5 + 7= 12

12/ 5x

Divide

12 /5= 2.4

X= 2.4

Answer:

9:11

Step-by-step explanation:

Given:

|x - 7| > 4

Let's solve the inequality for x using the following steps.

Step 1:

Find the inside of the absolute value when it is non-negative

x - 7 ≥ 0

Add 7 to both sides:

x - 7 + 7 ≥ 0 + 7

x ≥ 7

Find the inside of the absolute value when it is negative by multiplyin by -1:

-(x - 7) > 4

Step 2:

We have two conditions

x - 7 > 4

-(x - 7) > 4

Let's solve for x in both conditions.

We have:

Condition 1:

x - 7 > 4

Add 7 to both sides:

x - 7 + 7 > 4 + 7

x > 11

Condition 2:

-(x - 7) > 4

Apply distributive property:

-x - - 7 > 4

-x + 7 > 4

Subtract 7 from both sides:

-x + 7 - 7 > 4 - 7

-x > -3

Divide both sides by -1:

ANSWER:

x < 3 or x > 11

A graph of the exponential function \(f(n)=37000(1.06)^n\) is shown in the image attached below.

In Mathematics and Geometry, an exponential function can be modeled by using this mathematical equation:

\(f(x)=a(b)^x\)

Where:

Based on the information provided above, your salary can be modeled or represented by the following exponential function;

\(f(n)=37000(1.06)^n\)

Lastly, we would use an online graphing calculator to plot the given exponential function as shown in the graph attached below.

In conclusion, the rate of change of this exponential function is equal to 1.06.

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A) - The NEW VALUE in terms of the old value is 0.91  times the old value.

B) - The NEW VALUE of the HOUSE is:  299,000  *  0.91  =  $272,090

      A) - Calculate the Percentage of the Value Remaining After the Decrease

       B) - Calculate the NEW VALUE of the house

A) - The PERCENTAGE of the VALUE REMAINING AFTER the DECREASE

      100%  -  9%  =  91%

        0.91

B) - Calculate the NEW VALUE of the house:

NEW VALUE  =  OLD VALUE  *  REMAINING PERCENTAGE

NEW VALUE  =  299,000  *  0.91

A) - The NEW VALUE in terms of the old value is 0.91  times the old value.

B) - The NEW VALUE of the HOUSE is:  299,000  *  0.91  = $272,090

I hope it helps!

Answer:

7.1

Step-by-step explanation:

Use the pythagorian theorum:

A^2 + B^2 = C^2

25 + 25 = c^2

50 = C^2

C = 7.1

Answer:

7.07106

Step-by-step explanation:

Use Pythagoras. a^2 + b^2 = c^2

(5)^2 + (5)^2 = c^2

25 + 25 = c^2

Square Root 50 = c

c = 7.07106

Answer:

6x - 18 or 6*(x - 3)

Step-by-step explanation:

Pull out like factors: 6x - 18  =   6 • (x - 3)

Hope this helps! Please mark as brainlest.

Thanks!

By the inequality for x over on the right side if x is equal to or greater than 2 you use the bottom equation.

G(2) means x is 2.

Using the bottom equation replace the x’s with 2 and solve.

X^3 -9x^2 +27x-25

2^3 -9(2)^2+27(2)-25

Simplify:

8 -36 + 54-25 =1

The answer is A. 1

Answer:

you need to include a pic of it. dont worry, once u add the pic i will change my answer so 1i dont take up an answer space

Step-by-step explanation:

The amount cheaper is the car washes Malcolm orders than the car washes Martha's order is $13.

The correct answer choice is option B.

Malcolm's gift card = $50.

Cost Malcolm's car wash per visit = $7

Martha's gift card = $180

Cost Martha's car wash per visit = Difference between gift card balance of first and second visit

= $180 - $160

= $20

How cheap is the car washes Malcolm orders than the car washes Martha's order = $20 - $7

= $13

Therefore, Malcolm's car wash is cheaper than Martha's car wash by $13

The complete question is attached in the diagram.

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Answer:

\( \frac{ |a + x| }{2} - \frac{ |a - x| }{2} \\ \\ = \frac{ | - 2 - 6| }{2} - \frac{ | - 2 + 6| }{2} \\ \\ = \frac{ | - 8| }{2} - \frac{ |4| }{2} \\ \\ = \frac{8}{2} - \frac{4}{2} \\ \\ = 4 - 2 = 2\)

The odds against Jenny winning a headset 7/9 or 0.77

The odds in favor of Jenny winning a headset  2/9 or 0.22

What is probability?

Probability refers to potential. A random event's occurrence is the subject of this area of mathematics. The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events. The degree to which something is likely to happen is basically what probability means. You will learn the potential outcomes for a random experiment using this fundamental theory of probability, which is also applied to the probability distribution. Knowing the total number of outcomes is necessary before we can calculate the likelihood that a specific event will occur.

According to the question

Total number of outcomes is 9

1)

The odds against Jenny winning a headset = 1- P(odds in favor) or 1 - 2/9

=7/9

2)

the odds in favor of Jenny winning a headset.=

P (headset )/ Total no. of outcomes

= 2/9

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Answer:

a) -73°C, -15°C, -12°C, 0°C, 16°C, 37°C, 96°C

a) 96°C, 37°C, 16°C, 0°C, -12°C, -15°C, -73°C

b) -36°C, -15°C, -7°C, -1°C, 0°C, 20°C, 23°C

b) 23°C, 20°C, 0°C, -1°C, -7°C, -15°C, -36°C

Answer:

(a)See below

(b)Reflection over the line y=-1

Explanation:

The vertices of triangle ABC are A(-5,2), B (-4,7), and C (-2,7)

The vertices of triangle DEF are D(3,2), E(2,7), and F(0,7).

(a) The two triangles are graphed on the set of axes and attached below:

(b)If we reflect triangle ABC along the line y=-1. we obtain the coordinates of Triangle DEF.

Therefore, the single transformation where triangle DEF is the image of triangle ABC is a Reflection over the line y=-1.

Answer:5 days.w<0.5*34x

Step-by-step explanation:

Answer:

a^5b^9

Step-by-step explanation:

a^2b^4 * a^3b^5 = a^5b^9

The product of a²b⁴ and a³b⁵ is a⁵b⁹.

Arithmetic operations can also be specified by the subtract, divide, and multiply built-in functions.

The operator that perform arithmetic operation are called arithmetic operators .

Operators which let do basic mathematical calculations

+ Addition operation : Adds values on either side of the operator.

For example 4 + 2 = 6

- Subtraction operation : Subtracts right hand operand from left hand operand.

for example 4 -2 = 2

* Multiplication operation : Multiplies values on either side of the operator

For example 4*2 = 8

/ Division operation : Divides left hand operand by right hand operand

For example 4/2 = 2

Given the two expressions as :

⇒ a²b⁴ and a³b⁵

To determine the product of a²b⁴ and a³b⁵

⇒ (a²b⁴) × (a³b⁵)  

Rearrange the terms like wise,

⇒ a²a³b⁴b⁵

Adding to powers of same base,

⇒ a⁽²⁺³⁾b⁽⁴⁺⁵⁾

⇒ a⁵b⁹

Hence, the product of a²b⁴ and a³b⁵ is a⁵b⁹.

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