If f(x)=x^3 and g(x) = 2x+7, what is g(x) when x =2

Answer:

[tex]\frac{1}{2}[/tex] (one-half)

Step-by-step explanation:

Given: Fraction is [tex]\frac{15}{24}[/tex]

To find: the correct option

Solution:

A fraction represents part of a whole.

An improper fraction is a fraction in which numerator is greater than the denominator and a proper fraction is a fraction in which numerator is less than the denominator.

[tex]\frac{1}{2}=\frac{1\times 12}{2\times 12}=\frac{12}{24}< \frac{15}{24}\\\frac{7}{8}=\frac{7\times 3}{8\times 3}=\frac{21}{24}> \frac{15}{24}\\\frac{19}{24}> \frac{15}{24}\\\frac{6}{8}=\frac{6\times 3}{8\times 3}=\frac{18}{24}> \frac{15}{24}[/tex]

So, ratio [tex]\frac{1}{2}[/tex] is less than the given fraction [tex]\frac{1}{2}[/tex]

Answer:

1/2

Step-by-step explanation:

Answer:

Step-by-step explanation:

I don't say you have to mark my ans as brainliest but if you think it has really helped you then plz don't forget to thank me...

Answer:

Rohit is 6 years old

James is 15 years old

Step-by-step explanation:

the difference between their units is 3

Now we add the 9 years

the difference between their units should be 3 because they both age every year. the question was nice enough to give to same amount of units

Now we subtract James's original 'unit age' from his new one

We also need to make sure the difference between Rohit's original 'unit age' is 3

this 3 units represent the 9 years that have passed

To find James's age all we ahve to find is their original unit number

same for Rohit

Answer:

1)

a) 0.9706 = 97.06% probability that x is less than 60.

b) 0.9987 = 99.87% probability that x is greater than 16.

c) 0.9693 = 96.93% probability that x is between 16 and 60.

d) 0.0294 = 2.94% probability that x is more than 60.

2)

a) 0.0668 = 6.68% probability that the thickness is less than 3.0 mm.

b) 0.0062 = 0.62% probability that the thickness is more than 7.0 mm

c) 0.9270 = 92.70% probability that the thickness is between 3.0 mm and 7.0 mm.

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

1)

We have that [tex]\mu = 43, \sigma = 9[/tex]

a) x is less than 60

This is the pvalue of Z when X = 60.

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{60 - 43}{9}[/tex]

[tex]Z = 1.89[/tex]

[tex]Z = 1.89[/tex] has a pvalue of 0.9706

0.9706 = 97.06% probability that x is less than 60.

b) x is greater than 16

This is 1 subtracted by the pvalue of Z when X = 16.

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{16 - 43}{9}[/tex]

[tex]Z = -3[/tex]

[tex]Z = -3[/tex] has a pvalue of 0.0013.

1 - 0.0013 = 0.9987

0.9987 = 99.87% probability that x is greater than 16.

c) x is between 16 and 60

This is the pvalue of Z when X = 60 subtracted by the pvalue of Z when X = 16.

From a), Z when X = 60 has a pvalue of 0.9706.

From b), Z when X = 16 has a pvalue of 0.0013

0.9706 - 0.0013 = 0.9693

0.9693 = 96.93% probability that x is between 16 and 60.

d) x is more than 60

This is 1 subtracted by the pvalue of Z when X = 60.

From a), Z when X = 60 has a pvalue of 0.9706.

1 - 0.9706 = 0.0294

0.0294 = 2.94% probability that x is more than 60.

2)

Now [tex]\mu = 4.5, \sigma = 1[/tex]

a) the thickness is less than 3.0 mm

This is the pvalue of Z when X = 3.

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{3 - 4.5}{1}[/tex]

[tex]Z = -1.5[/tex]

[tex]Z = -1.5[/tex] has a pvalue of 0.0668

0.0668 = 6.68% probability that the thickness is less than 3.0 mm.

b) the thickness is more than 7.0 mm

This is 1 subtracted by the pvalue of Z when X = 7.

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{7 - 4.5}{1}[/tex]

[tex]Z = 2.5[/tex]

[tex]Z = 2.5[/tex] has a pvalue of 0.9938.

1 - 0.9938 = 0.0062

0.0062 = 0.62% probability that the thickness is more than 7.0 mm

c) the thickness is between 3.0 mm and 7.0 mm.

This is the pvalue of Z when X = 7 subtracted by the pvalue of Z when X = 3.

From b), Z when X = 7 has a pvalue of 0.9938.

From a), Z when X = 3 has a pvalue of 0.0668

0.9938 - 0.0668 = 0.9270

0.9270 = 92.70% probability that the thickness is between 3.0 mm and 7.0 mm.

Answer:

the answer is a

Step-by-step explanation:

because the pattern multiplies by 2 for the y axis and for the x axis it just goes up 1

Answer:

answer C is coreect

Step-by-step explanation:

Answer:

d. none

Step-by-step explanation:

Answer:

An exponential function is a function in the form of f(x) = bx or y = bx (if we wish to express the function in terms of y instead of f(x)), where b > 0, b ≠ 1 and x is a ... the interval (-∞, ∞) is because any real number can be put in for x the function f(x) ... zero and negative numbers are not part of the range is because any positive

Step-by-step explanation:

Answer:

Step-by-step explanation:

Opposite angles D and E in the rhombus are congruent. The measure of arc ADC is the same as the measure of central angle AEC. The measure of arc ABC is twice the measure of angle AEC, so the measure of arc ABC is twice the measure of arc ADC.

This means that short arcs AB, BC and CA are all 120°. Inscribed angle ABC (angle m) is half that value, or 60°.

Likewise, the angle BAC is 60°. We know that angle EAD is supplementary to angle AEC, so is 180° -120° = 60°. Segment AC bisects this angle, so angle n is 60°/2 = 30° less than angle BAC.

  angle m is 60°, angle n is 30°

Answer:

(6+3)+5=(3x?)+5

9+5=(3×3)+5

14=9+5

14=14

so,the missing factor is 3.

Answer:

  33 in

Step-by-step explanation:

The Pythagorean theorem tells you ...

  diagonal² = length² +width²

  diagonal² = (16 in)² +(28.5 in)² = 1068.25 in²

  diagonal = √(1068.25 in²) ≈ 32.684 in

The diagonal of the television is about 33 inches.

Answer:

i think the answer is C or D:)

Answer: 48.1%

Step-by-step explanation:

The percent markup is defined as:

PM = (gross benefit/cost per unit.)*100%

We know that the cost per unit is $35

then we have:

108% = (gross benefit/$35)*100%

gross benefit = (108%/100%)*$35 = $37.8

This means that a game is selled by $35 + $37.8 = $72.8

Now we have:

Markup percent = (gross benefit/selling price)*100% = ($35/$72.8)*100% = 48.1%

Answer:

A. $ 6053.44

B. From the graph, R = 21.027 ft and C = $ 5700.005, L = 31.043 ft

The values in A and B do not all agree. This could be due to error in approximations. Their values are close though.

Step-by-step explanation:

A. The area A of the enclosure equals, A = 2RL + πR²/2.

The total cost C = 20 × length of curved section + 30 × length of straight section

C = 20πR + 30[2(L + 2R)]

   = 20πR + 60L + 120R

Making L subject of the formula from A,

L = A/2R - πR/4

Substituting L into C, we have

C = 20πR + 60(A/2R - πR/4) + 120R

   = 20πR + 30A/R - 15πR + 120R

   = 5πR + 30A/R + 120R

We now differentiate C with respect to R to find the value of R for minimum cost

dC/dR = 5π - 60A/R² +120

Equating dC/dR to zero, we have

5π - 60A/R² + 120 = 0

So, R = ±√[60A/(5π + 120)]

substituting A = 2000 ft²

R = ±√[60 × 2000/(5π + 120)] = ±29.74 ft

We take the positive answer, R = 29.74 ft since R cannot be negative.

To determine if this is a minimum point, we differentiate dC/dR with respect to R.

So d²C/dR² = 120A/R³

Since d²C/dR² = 120A/R³ > 0 for positive R, it is a minimum point.

Substituting the value of R into C we have

C = 5πR + 30A/R + 120R

   = 5π(29.74) + 30 × 2000/29.74 + 120(29.74)

   = 467.155 + 2017.485 + 3568.8

   = $ 6053.44

and L = A/2R - πR/4

         = 2000/2(29.74) - π(29.74)/4

         = 33.625 - 23.356

         = 10.269

         ≅ 10.27 ft

B. From the graph, R = 21.027 ft and C = $ 5700.005, L = 31.043 ft

The values in A and B do not all agree. This could be due to error in approximations. Their values are close though.

Answer:

rational

Step-by-step explanation:

The correct statement is:

c. The other zero can be either rational or irrational.

A quadratic equation with integer coefficients can have two distinct zeros, and if one of the zeros is irrational, the other zero can be either rational or irrational.

The nature of the zeros depends on the specific values of the coefficients in the quadratic equation.

A quadratic equation with integer coefficients can be written in the form: [tex]ax^2 + bx + c = 0[/tex], where a, b, and c are integers.

The solutions to this equation can be found using the quadratic formula:

[tex]\mathrm x = \frac{\mathrm{-b}\pm \sqrt{\mathrm b^2-4\mathrm a \mathrm c} }{2 \mathrm a}[/tex]

If one zero is irrational, it means that one of the solutions obtained from the quadratic formula is an irrational number.

However, the other solution can still be either rational or irrational.

The discriminant, [tex]b^2 - 4ac[/tex], determines the nature of the solutions.

If the discriminant is a perfect square, both solutions will be rational.

If the discriminant is not a perfect square, one solution will be irrational, and the other may be either rational or irrational.

Therefore, it is possible for the other zero to be rational or irrational, depending on the specific values of a, b, and c in the quadratic equation.

Thus, option (c) is the correct answer.

Learn more about quadratic equation click;

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Complete question =

Consider a quadratic equation with integer coefficients and two distinct zeros. If one zero is irrational, which statement is true about the other zero?

a. The other zero must be rational.

b. The other zero must be irrational.

c. The other zero can be either rational or irrational.

d. The zero must be non-real.

Answer

65 degrees

Step-by-step explanation:

The value of x for which Angle B is supplementary to Angle A would be x = 26.17.

Used the definition of supplementary angle that states,

The sum of supplementary angles in any figure gives 180 degrees always.

Given that,

Angle A measures (2x - 23)°.

And, Angle B is supplementary to Angle A and measures (4x + 46)°.

Since Angle A and B are supplementary.

Hence the sum of both Angles is 180 degrees.

This gives,

∠A + ∠B = 180°

Substitute the given values,

(2x - 23)° + (4x + 46)° = 180°

Combine like terms,

6x + 23 = 180

Subtract 23 on both sides,

6x = 180 - 23

6x = 157

Divide 6 on both sides,

x = 26.17

Therefore, the value of x = 26.17

To learn more about the angle visit:;

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The complete question is,

Angle A measures (2x - 23)°. Angle B is supplementary to angle A and measures (4x + 46)°. Write and solve an equation to find the value of x.

Answer:

a) 18 grapefruits

b) 6 grapefruits

Step-by-step explanation:

a) n = 14.4 / 0.80 = 18 grapefruits

b) n = (14.4 / 3) / 0.8 = 6 grapefruits

Answer:

30

Step-by-step explanation:

Substitute 8 for p.

4(8)-2=

32-2=

30

Answer: 30

Step-by-step explanation: 4p-2

4(8)- 2

32-2

= 30

Answer:

$9.3 million

Step-by-step explanation:

Given that the company profit increases by 9% yearly from 2005.

Using the exponential growth formula;

A = P(1+r)^(t) .....1

Where;

A = final amount/value of profit

P = initial amount/value = $6.6 million

r = growth rate yearly = 9% = 0.09

t = time of growth in years = 2009 - 2005 = 4 years

Substituting the values;

A = 6.6(1+0.09)^(4)

A = 6.6(1.09)^(4)

A = 9.3164386 million

A = $9.3 million

The companies profit in the year 2009 to the nearest 10th of $1 million is $9.3 million

Answer:

the mean in set B is equal to the mean in set A (option C)

Question:

The question is incomplete as the answer choices were not given.Let's consider the following question:

Data set A is {30, 45, 32, 50, 33, 40, 44, 32}. Data set B is {28, 43, 30, 48, 35, 42, 46, 34}. which statement best compares the two data sets?

a) median for set A is equal to the median for set B

b) Range for set A is greater than range for set B 

c) The mean in set B is equal to the mean in set A

Step by step explanation:

We can describe a data set using four ways:

Center, spread, shape and unusual features.

Let's consider the center and spread.

Center: This is the median of the distribution.

Spread: This is the variation of the data set. If the range is wide, the spread is larger and If the range is small, the spread is smaller.

Rearranging the data set:

A = {30, 32, 32, 33, 40, 44, 45, 50}

B = {28, 30, 34, 35, 42, 43, 46, 48}

From the data:

The median for set A = (33+40)/2 = 73/2= 36.5

The median for set B = (35+42)/2 = 77/2= 38.5

Range = highest value - lowest value

The data ranges from 30 to 50 (range = 20) for A 

The data ranges from  28 to 48 (range = 20) for B

Mean for set A = (30+32+32+33+40+4445+50)/8 = 306/8 = 38.25

Mean for set B = (28+30+34+35+42+43+46+48)/8= 306/8 = 38.25

In both data set the mean is equal to 38.25.

Therefore the statement that best compares the two data sets is the mean in set B is equal to the mean in set A (C)

Answer:

 I think it is The mean for data set B is greater that the mean for data set A

Step-by-step explanation:

if not pls correct me

not a question...and scribbles.

Answer:

There are no values that are outliers.

Answer:

Option A

Step-by-step explanation:

To conclude that a time-restricted eating pattern causes a weight loss in this population on average, we would need to use a much larger sample than the 19 actually used in the study to get an unbiased conclusion and to also ensure that the sample itself and whatever result produced is a true representation of this particular population itself.

Answer:

31/4 is 7.75 so you could round up to 7.8 or 4/31 which is. 0.129... and you could round up to 0.13

Word problem:

Mark has 31 Starburst and wants to give them all to his 4 friends. About how many starburst will each friend have. Be sure to round your answer.

Answer:

This is just going to be a word problem so Imma just give you one you can use.

Step-by-step explanation:

Stacy has 31 cookies that she wants to divide for herself and her three other siblings. About how much cookies did each person get?

Answer:

18,000 Cubic meters

Step-by-step explanation:

Since volume is lwh and the area of the ground is lw and it gives you the height, You just multiply The area of the ground, 2,000 m, and the height, 9, to find the volume. 9 x 2,000= 18,000.

Step-by-step explanation:

side ratio =    big/small   = 28/4 = 7

perimeter ratio = side ratio = 7

-> perimeter ratio = big / small = big/34 = 7

-> big perimeter= 7*34 = 238

Answer:

Become the leader of our nation.

Step-by-step explanation:

Like all Nazi propaganda, the 1936 poster suggests that young Germans are highly capable of becoming leaders of the nation. A young man who must be blond, with teeth and a perfect body. It was unconditional for Nazi propagandists to convince young people to support the goals and policies of the political party.

On the other hand, the leaders of the Nazi youths sought to integrate the children into the national Nazi community and prepare them to serve as soldiers in the armed forces or, later, in the SS.

Answer:

60

Step-by-step explanation:

To find the volume of a rectangular prism you need to use the formula Base times height or  in this case  length times-width times height so multiply  5 x 4 x 3 to get your answer

Answer:

The answer is 14 plus y

Step-by-step explanation:

Number A is correct

Answer:

kok

Step-by-step explanation:

Answer:

(x - 7)² + (y - 5)² = 116

Step-by-step explanation:

equation of a circle:

(x - h)² + (y - k)² = r²

where (h,k) is the centre and r is the radius

centre is the midpoint of the diameter:

(h,k) = (11+3)/2 , (-5+15)/2

(h,k) = (7,5)

diameter = sqrt[(15--5)² + (3-11)²]

diameter = sqrt(464) = 4sqrt(29)

radius = ½ diameter

radius = 2sqrt(29)

r² = 116

equation:

(x - 7)² + (y - 5)² = 116

Answer:

[x-7]^2 + [y-5]^2= 116

Step-by-step explanation:

General equation of a circle is

[x2 - xo]^2 + [y2- yo]^2 = r^2

Where xo and yo are coordinates of the circle at the origin.

But xo = [x2 + x1]/2

= 11 + 3 / 2 = 7

yo = [y2 + y1] / 2 = [-5 + 15] /2 = 5

x2= 11, x2= 3; y1= -5, y2= 15

[11-7]^2 + [15-5]^2 =

16+ 100=116 = r^2

From the expression below;

[x2-xo]^2 + [y2-yo] ^2 = r^2

[x1-xo]^2 + [y1-yo] ^2 = r^2

[x-7]^2 + [y-5]^2= 116

Answer:

9^3

Step-by-step explanation:

9* 9^2

9*9(9) = 9^3

We could also look at it as

9^1 * 9^2

We know that a^b * a^c = a^(b+c)

9^(1+2) = 9^3