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Answer:

$6.8

Step-by-step explanation:

5+10+2+7+10=34

34/5=6.8

Answer:

6th degree trinomial

Step-by-step explanation:

Because the highest exponent is 6, and there are 3(tri) numbers.

Answer:

6th degree trinomial.

Answer:

Step-by-step explanation:

This follows the form

[tex]y=a(b)^x[/tex]

where a is the initial value and b is the base with the exponent.  Using that information, we can see that the initial value in our function is 1/3. Simplifying the base will take some work. Let's first rewrite this is a radical:

[tex]81^{\frac{3x}{4} }=\sqrt[4]{81^{3x} }[/tex]

Now let's break up 81 into its factors. 81 is 9*9 which is 3*3*3*3.  Therefore,

[tex]81=3^4[/tex]

We will use that as a simplification:

[tex]\sqrt[4]{(3^4)^{3x}}[/tex]  which simplifies to

[tex]\sqrt[4]{3^{12x}}[/tex]

Rewriting that as an exponent looks like this:

[tex]3^{\frac{12x}{4}}[/tex] which simplifies to

[tex]3^{3x}[/tex]

That's the answer for the second part.  The whole exponential equation now is

[tex]f(x)=\frac{1}{3}(3)^{3x}[/tex]

The domain for an exponential function is all real numbers and the range is

y > 0

Answer:

1/3

27

all real numbers

y > 0

ON EDGE

Step-by-step explanation:

Answer:

Step-by-step explanation:

-2.5b + 15.2 = -3.5b

-2.5b + 2.5b + 15.2 = -3.5b + 2.5b

15.2 = -1b

15.2/-1 = -1b/-1

-15.2 = b

b = -15.2

Answer:

The inequality that represents the number of cars he needs to sell is: [tex]x \geq 11[/tex]

Step-by-step explanation:

The commission received by the salesman, can be modeled by the following expression:

[tex]\text{commission}(x) = 700*x[/tex]

Where "x" is the number of sold cars. Since he needs to achieve a commission value of at least 7700, then the inequality that represents the number of cars he needs to sell is:

[tex]700*x \geq 7700[/tex]

We can solve for "x" in order to find the number of cars he needs to sell:

[tex]x \geq \frac{7700}{700}\\\\x \geq 11[/tex]

He needs to sell at least 11 cars.

Answer:

[tex]5a^2-8a[/tex]

Step-by-step explanation:

[tex]6(1-a^2)-2(3-a+2a^2)+5(-2a+3a^2)[/tex]

[tex](6)(1)+(6)(-a^2)+(-2)(3)+(-2)(-a)+(-2)(2a^2)+(5)(-2a)+(5)(3a^2)[/tex]

[tex]6+-6a^2+-6+2a+-4a^2+-10a+15a^2[/tex]

[tex](-6a^2+-4a^2+15a^2)+(2a+-10a)+(6+-6)[/tex]

[tex]5a^2-8a[/tex]

Step-by-step explanation:

a)

total no. of pupils is not more than 24

therefore first equation is

(x+y) ≤ 24. ....(1)

No. of girls exceeding the no. of boys by atleast 4

(y-x) ≥ 4. .....(2)

b) Now Liza chooses 8 boys

Maximum no. of girls = ?

Using first inequality

y+8= 24 ( maximum value of less than or equal to function is equal to itself)

Therefore,

y= 24-8

=16

Minimum no. of girls = ?

Using second inequality

y-8 =4 (minimum value of greater than or equal to function is equal to itself)

Therefore,

y= 4+8

y=12

Answer:

a) 2linear inequalities

(x+y) ≤ 24

(y-x) ≥ 4

b) Max no. of girls = 16

Min no. of girls = 12

Hope it helps...

Answer:

There would be no change in the standard deviation if each one of the numbers in the set was decreased by 4.

Step-by-step explanation:

We are given that the standard deviation of a set of numbers is 22.2.

And we have to check that what would be the standard deviation, if each one of the numbers in the set was decreased by 4.

For concluding this, we will take a simple example;

Suppose that there are three set of numbers : 6, 8 and 10

Firstly, we will calculate the standard deviation for these numbers;

           X                        [tex]X - \bar X[/tex]                        [tex](X-\bar X)^{2}[/tex]

           6                      6 - 8 = -2                           4

           8                      8 - 8 = 0                            0

          10                     10 - 8 = 2                           4    

                                                                             8    

Here, the Mean of the three numbers is given by;

        Mean, [tex]\bar X[/tex]  =  [tex]\frac{6+8+10}{3}[/tex]  = 8

Now, standard deviation formula is given by;

      Standard deviation, s  =  [tex]\sqrt{\frac{(\sum X - \bar X)^{2} }{n-1} }[/tex]  

                                            =  [tex]\sqrt{\frac{8 }{3-1} }[/tex]  = 2

Now, we will decrease each of the three numbers by 4, we get ;

              X                        [tex]X - \bar X[/tex]                        [tex](X-\bar X)^{2}[/tex]

              2                      2 - 4 = -2                           4

              4                      4 - 4 = 0                            0

              6                      6 - 4 = 2                           4    

                                                                                8    

Here, the Mean of the three numbers is given by;

        Mean, [tex]\bar X[/tex]  =  [tex]\frac{2+4+6}{3}[/tex]  = 4

Now, standard deviation formula is given by;

      Standard deviation, s  =  [tex]\sqrt{\frac{(\sum X - \bar X)^{2} }{n-1} }[/tex]  

                                            =  [tex]\sqrt{\frac{8 }{3-1} }[/tex]  = 2

From this, we observe that even after decreasing each number by 4, the standard deviation remains same.

SO, we can conclude that if each one of the numbers in the set was decreased by 4 , the standard deviation of a set of numbers will be 22.2 only.

Answer:

D

Step-by-step explanation:

Since the interior angles of a triangle will always add up to 180 degrees, angle B must equal 180-67-40=73 degrees, meaning that angle B corresponds to angle E in the other triangle. A corresponds to D, and F maps to C. Since no rotation is necessary, all you need to do is align two of the vertices to their corresponding vertice on the other triangle. The only answer choice here that does this is choice D, meaning that it is the correct answer. Hope this helps!

Answer:

x <2

Step-by-step explanation:

3(x+1)<9

Divide by 3

3/3(x+1)<9/3

x+1 < 3

Subtract 1 from each side

x+1-1 < 3-1

x <2

Answer:

x < 2

Step-by-step explanation:

Distribute the 3 to (x + 1):

3(x + 1)

3x + 3

→3x + 3 < 9

Subtract 3 from both sides:

→3x < 6

Divide both sides by 3:

→x < 2

Answer:

k(-7) = - 89

Step-by-step explanation:

k (t) = 10t - 19

Let t = -7

k(-7) =10 * -7 - 19

        =-70-19

        -89

Answer:

[tex]k (-7) = -89[/tex]

Step-by-step explanation:

[tex]k (t) = 10t - 19[/tex]

[tex]k (-7) = 10(-7) - 19[/tex]

[tex]k (-7) = -70 - 19[/tex]

[tex]k (-7) = -89[/tex]

Answer:

C

Step-by-step explanation:

The addition of the x^5 term makes it non proportional

Answer:

C.

Step-by-step explanation:

A. y = (6x + 3) - 3= 6x

B. y = - 15x

D. = - 1/3 x

All of these are proportional because they have general formula y = kx.

Answer:

A) 5

Step-by-step explanation:

Distance between two points is calculated as:

Step 1: locate the coordinate points:

Point 1- (x₁ , y₂) = (-5, -2)

Point 2-(x₁ , y₂)= (-9, -5)

Formula to find distance between two points = √(x₂−x₁)² + (y₂−y₁)²

Step 2: input the values

√(−9− −5)² + (−5− −2)²

= √(−4)² + (−3)²

=√16 + 9

= √25 ........ square root of 25

= 5

Distance between points (-5, -2) and (-9, -5) is 5

work by Tolaosunrinde

Answer:

D) 0.0004

Step-by-step explanation:

(0.02)^2=0.02*0.02=0.0004

Answer: C

Step-by-step explanation:

Your answer is correct! When you multiply 2 matrices, the inner dimensions have to be equal. If they are equal, the resulting dimensions would be the outer dimentions.

(3×4)(4×5)

Since the inner (bolded) dimensions are the same, in this case 4×4, we know these matrices can be multiplied.

Since these matrices can be multiplied, the product will be 3×5, the underlined outer dimensions.

Answer:

y = 2x - 1

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = A(4, 7) and (x₂, y₂ ) = B(2,3)

m = [tex]\frac{3-7}{2-4}[/tex] = [tex]\frac{-4}{-2}[/tex] = 2 , thus

y = 2x + c ← is the partial equation

To find c substitute either of the 2 points into the partial equation

Using (2, 3), then

3 = 4 + c ⇒ c = 3 - 4 = - 1

y = 2x - 1 ← equation of line

Answer:

y=-2x+3

Step-by-step explanation:

equation for slope is y=mx+b

the slope is -2 so that equals m

(0,3) is the y-intercept

y=b

3 is the y value making it substitute b making the equation y=-2x+3

Answer:

Not sure what the answer choices are, but choose the choice that says the new image is either stretched or shrunk. In a dilation, the shape/corresponding sides of the pre-image are preserved in the new image, but the size of the new image is altered.

Step-by-step explanation:

hope this helps!

Answer:

if it's the right angle and it nine times it own

I think it would be 180 degress

Answer:

m < 1.4

Step-by-step explanation:

Make [tex]\frac{8}{5}[/tex] a decimal.

1.6

3 > m + 1.6

m < 1.4

Answer:

The price per serving is $0.315, therefore, it's less than $0.5

Step-by-step explanation:

In order to calculate the price per serving, we can first calculate the price per cup, this is done by dividing the total value of the box by the number of cups it can serve:

[tex]price_{cup} = \frac{3.8}{9} = 0.42[/tex]

Since each serving is [tex]\frac{3}{4}[/tex] of a cup, then it's price has the same proportion and is given by:

[tex]price_{serving} = \frac{3}{4}*0.42 = 0.315[/tex]

The price per serving is $0.315, therefore, it's less than $0.5

Answer:

[tex]x^2+10x+24[/tex]

Step-by-step explanation:

So just multiply the sides:

[tex]x^2+6x+4x+24[/tex]

Which is:

[tex]x^2+10x+24[/tex]

Answer:

75.36 cm

Step-by-step explanation:

Radius for circle is half of diameter

given diameter is 24

therefore radius = half of 24 = 24/2 = 12

circumference of circle is given by [tex]2\pi r[/tex]

where r is the radius

therefore ,circumference of circle

[tex]circumference = 2\pi r = 2*3.14*12\\\\circumference = 75.36[/tex]

Thus, circumference of circle is 75.36 cm

Answer:

the answer would be 2/3. I hope this helps.

Step-by-step explanation:

The weight of this cereal is bran is 3/4 fraction.

An element of a whole is a fraction. The number is represented mathematically as a quotient, where the numerator and denominator are split. Both are integers in a simple fraction. A fraction appears in the numerator or denominator of a complex fraction. The numerator of a proper fraction is less than the denominator.

Given:

A different breakfast cereal is made using only fruit and bran.

The ratio of the weight of fruit to the weight of bran is 1 : 3.

That means,

the total amount = 3x + x = 4x.

Then fraction of the weight of this cereal is bran,

3x/4x

= 3/4

Therefore, 3/4 is the required fraction.

To learn more about the fractions;

https://brainly.com/question/10354322

#SPJ2

Answer:

The total amount repayable will be £8,280.24.

Step-by-step explanation:

Use the attached formula

Answer:

The histogram for the data is attached below.

Step-by-step explanation:

The data for the number of houses Gregg the garbage man visited each day last week is as follows:

S = {12, 28, 33, 37, 23, 14, 9​}

In this case we need to create a histogram for the provided data.

According to the graph provided we know that the class intervals are:

CI = 0 - 10, 10 - 20, 20 - 30, 30 - 40

The frequency distribution table is as follows:

Class Interval     Frequency

    0 - 10                    1

   10 - 20                  2

  20 - 30                  2

  30 - 40                  2

The histogram for the data is attached below.

Answer:

This is from Khan Academy.

There are 1 squares in 0-10

There are 2 squares in 10-20

There are 2 squares in 20-30

There are 2 squares in 30-40

The additive property of equality states that if the same amount is added to both sides of an equation, then the equality is still true.

Answer:

Step-by-step explanation:

Let x be the random variable representing the number of miles that each person walked each day for 6 months. Since it is normally distributed and the population mean and population standard deviation are known, we would apply the formula,

z = (x - µ)/σ

Where

x = sample mean

µ = population mean

σ = standard deviation

For Rueben,

µ = 5

σ = 1.1

the probability that Rueben walked more than 6.1 miles is expressed as

P(x > 6.1) = 1 - P( x ≤ 6.1)

For x = 6.1,

z = (4 - 6.1)/1.1 = - 1.91

Looking at the normal distribution table, the probability corresponding to the z score is 0.02807

P(x > 6.1) = 1 - 0.02807 = 0.97193

P(x > 6.1) = 0.97 × 100 = 97%

For Victor,

µ = 4.4

σ = 1.4

the probability that Victor walked less than 5.8 miless is expressed as

P(x < 5.8)

For x = 5.8,

z = (5.8 - 4.4)/1.4 = 1

Looking at the normal distribution table, the probability corresponding to the z score is 0.8413

P(x < 5.8) = 0.84 = 84%