A multiple of 6 is a number that has 6 as a factor. What is the sum of the two smallest multiples of 6 that are greater than 103?

Answer:

8.5 inches

Step-by-step explanation:

First let's find the time t when the depth of the snow is 7 inches.

To do this, we just need to use the value of D = 7 then find the value of t:

[tex]7 = 1.5t + 4[/tex]

[tex]1.5t = 3[/tex]

[tex]t = 2\ hours[/tex]

We want to find the depth of snow one hour from now, so we just need to use the value of t = 3 to calculate D:

[tex]D = 1.5*3 + 4[/tex]

[tex]D = 4.5 + 4 = 8.5\ inches[/tex]

The depth of snow one hour from now will be 8.5 inches.

The depth of the snow one hour from now is 8.5 inches.

Let D represent the depth of snow in inches at time t. It is given by the relationship:

D=1.5t + 4

Since  the depth of the snow is 7 inches now, hence, the time now is:

7 = 1.5t + 4

1.5t = 3

t = 2 hours

One hour from now, the time would be t = 2 + 1 = 3 hours. Hence the depth at this time is:

D = 1.5(3) + 4 = 8.5 inches

Therefore the depth of the snow one hour from now is 8.5 inches.

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Work Shown:

1 hour = 60 minutes

2 hours = 120 minutes (multiply both sides by 2)

1/4 hour = 15 minutes (divide both sides of the first equation by 4)

2 & 1/4 hours = 2 hours + 1/4 hour

2 & 1/4 hours = 120 minutes + 15 minutes

2 & 1/4 hours = 135 minutes

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

1 minute = 60 seconds

135 minutes = 8100 seconds (multiply both sides by 135)

2 & 1/4 hours = 8100 seconds

Answer:

3/4

Step-by-step explanation:

r= a3/a2=3/4

or

r= a2/a1= 4÷16/3= 4×3/16= 3/4

Answer:

prime factors in ascending order of 1729 is 7 , 13 , 19

relation between  consecutive prime factors is 6

Step-by-step explanation:

given data

number = 1729

solution

we get here factors of 1729

1729 = 7 × 13 × 19

so that required prime factors in ascending order of 1729 is 7 , 13 , 19

and

now we get relation between these prime factors is the difference between consecutive prime factors is

13 - 7 =  6

19 - 13 = 6

so relation between  consecutive prime factors is 6

Step-by-step explanation:

Prime factors of the number 1729 are 7,13,19

i.e. 1729 =7×13×19

The factors in ascending order are 7,13,19.

Clearly we can see that each consecutive prime factors​ have difference of 6.

13-7=6

19-13=6

Answer:

3

Step-by-step explanation:

=> 5 x (8-4) ÷ 4 - 2

Solving Brackets

=> 5 × 4 ÷ 4 - 2

Dividing

=> 5 × 1 - 2

Multiplying

=> 5 - 2

Subtracting

=> 3

Answer:

3

Step-by-step explanation:

5 x 4/4-2

5x1-2 (any expression divided by itself equals one)

5-2 (any expression multiplied by one remains the same)

=3

hope this helps love!

Given that a home owner purchased 16 and 3/4 pounds of more soil than his neighbor who purchased 9 1/2 pounds of soil, determine the amount of soil the home owner purchased.

Work:

N : 9 1/2

H-O: + 16 3/4

Convert 9 1/2 to the same denominator as 16 3/4.

9 1/2 = 9 2/4

Add.

16 3/4 + 9 2/4 = 25 5/4

Simplify.

26 1/4

Answer: Thus, the homeowner purchased 26 1/4 pounds of soil.

Answer:

1.2m

Step-by-step explanation:

You must first find out how much the daffodil grew over the 8 days:

0.05 x 8 = 0.4

Then you must add how much it grew to the original height:

0.4 + 0.8 = 1.2

Hope this helps you out! : )

the length of the daffodil on the 8th day is 1.2m.

In mathematics, multiplication is a method of finding the product of two or more numbers. It is one of the basic arithmetic operations, that we use in everyday life.

here, we have,

A daffodil grows 0.05m every day.

the initial length of the daffodil is 0.8m.

You must first find out how much the daffodil grew over the 8 days:

0.05 x 8 = 0.4

Then you must add how much it grew to the original height:

0.4 + 0.8 = 1.2

hence,  the length of the daffodil on the 8th day is 1.2m.

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#SPJ2

Answer:

y=x-1

Step-by-step explanation:

since the slope is just one up and one over and it's positive it would just be x

and since the intercept is just -1 it would be y=x-1

Answer:

D. Rectangular prism

Step-by-step explanation:

The reason why is the tower is like a rectangular prism.

Also I've taken the test before and I had this question and got it correct.

Hope this helps!!!

Answer:

Rectangular Prism

Step-by-step explanation:

A tower is essential a long rectangular prism. The tower in the picture bears NO resemblance to a circle, so A and C can be ruled out. The tower also doesn't slope towards a point, so B is also wrong. We are left with D as our answer.

Answer:

I think so you meant to write 62 as 6^2

If this is the question , then the answer is 6 x 6

HOPE THIS HELPS AND PLS MARK AS BRAINLIEST

THNXX :)

Answer:

B. 6 × 6

Step-by-step explanation:

6²

The square of a number means that the number is multiplied by itself.

6 × 6 (expanded form)

Answer:

the milk weighs less than 70 pounds

milk =  64       half of 64 = 32    difference between 32 and 38= 6                    64+6 = 70                

empty can =6 pounds

Answer:

38 is the weight with the can so if we subtract the total weight by the weight of half we can see how much the can weighs

70 - 38 = 32

38 - 32 = 6 so the can weighs 6 pounds.

Hope this helps

Step-by-step explanation:

Answer:

$63.90

Step-by-step explanation:

First we want to find 10% of 71, this is 7.1.

Since we want to know the price before the tax was added, we will subtract 7.1 from 71 to get our final answer, $63.9

Have a great day ;)

Answer:

$63.9 or rounded up- $64

Step-by-step explanation:

Step one: first you need to find 10% of 71. To do that you multiply 71 by 0.10. The answer is 7.1

Step two: next you would do 71-7.1 to take off the 10%. you get your answer as $64.

Don't forget to rate and thanks!

Answer: 4 wholes and 1/5 is 4.20 and you need something greater than that but less than 4.25 which still has only 2 decimals.

Answer:

m∠1 = 43°27'

m∠2 = 136°73'

m∠4 = 136°73'

Step-by-step explanation:

∠1 = ∠3 because of Vertical Angles Theorem

180 - ∠1 = ∠2 because of Supplementary angles

∠2 = ∠4 because of Vertical Angles Theorem

Answer: x+46

Step-by-step explanation:

For this problem, you want to first distribute each term.

4(-8x+5)-(-33x-26)               [distrubute 4 and -1]

-32x+20+33x+26                  [combine like terms]

x+46

Answer:

Step-by-step explanation:

4(-8x + 5) – (-33x – 26)

distribute:

-32x+20+33x+26

add like terms:

33x-32x+20+26

x+46

Answer:

Option (D)

Step-by-step explanation:

Subtraction property of equality tells that whatever subtracted from one side of the equation must be subtracted from the other side.

If x + 2 = 2,

By the property of subtraction of equality,

x + 2 - 2 = 2 - 2

x = 0

But in the given question,

[tex]\frac{x}{2}-7=-7[/tex]

[tex]\frac{x}{2}-7+7=-7+7[/tex]

shows the addition property of equality in step (2)

Therefore, subtraction property of equality was not applied.

Option (D) will be the answer.

Answer:

a) X has a mean of 25 and a variance of 8.

b) The probability that the total weight X is between 22 and 28 oz is 0.711.

Step-by-step explanation:

We have to calculate the mean and variance of a sum of random normal variables.

We can apply the rule for mean and variance for sum of independent variables:

[tex]X=L+M\\\\E(X)=E(L+M)=E(L)+E(M)\\\\V(X)=V(L+M)=V(L)+V(M)-2CoV(L,M)=V(L)+V(M)[/tex]

Then, the mean and variance of X is:

[tex]E(X)=E(L)+E(M)=15+10=25\\\\\\V(X)=V(L)+V(M)=2^2+2^2=4+4=8\\\\\sigma_x=\sqrt{V(X)}=\sqrt{8}\approx2.83[/tex]

We can calculate the probability that X is between 22 and 28 as:

[tex]z_1=\dfrac{X_1-\mu}{\sigma}=\dfrac{22-25}{2.83}=\dfrac{-3}{2.83}=-1.06\\\\\\z_2=\dfrac{X_2-\mu}{\sigma}=\dfrac{28-25}{2.83}=\dfrac{3}{2.83}=1.06\\\\\\P(22<X<28)=P(z<1.06)-P(z<-1.06)\\\\P(22<X<28)=0.855-0.145=0.711[/tex]

For a relation to be a function every x value will have a single y value.

The first one has two x values of -2 but their y values are different so can’t be a function.

The second one has two 10’s with different y values so isn’t a function.

The 3rd one has 1 and -1 with the same y value, so isn’t a function.

The correct answer is the 4th choice

Answer:

13.22

Step-by-step explanation:

use the Pythagorean theorem to solve

Using the formula

c=a^2+b^2

Solving for b

b=c^2﹣a^2=202﹣152≈13.22

The distance from the base of the building where the bottom of the ladder is located is 13.22ft

From the question, we are given the following parameters

Length of the ladder (l )= 20 feet

Height of the building (H)=15 feet

To know how far away from the base of the building is the bottom of the ladder located, we will use the Pythagoras theorem. Find the diagram attached

[tex]l^2=b^2+H^2\\20^2=b^2+15^2\\b^2=20^2-15^2\\b^2=400-225\\b^2=175\\b=\sqrt{175}\\b=13.22feet[/tex]

hence the distance from the base of the building where the bottom of the ladder is located is 13.22ft

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Answer: a) 503.2m

b) 621.6m

Step-by-step explanation:

The diagram representing the scenario is shown in the attached photo.

A represents her starting point.

CD = x = how far east she is from her starting point

BC = y = how far south she is from her starting point

Angle BAC = 180 - 129 = 51°

Angle ACD = angle BAC = 51° because they are alternate angles

To determine x, we would apply the cosine trigonometric ratio

Cos 51 = x /800

x = 800Cos51 = 800 × 0.629 = 503.2m

To determine y, we would apply the sine trigonometric ratio

Sin 51 = y /800

y = 800Sin51 = 800 × 0.777 = 621.6m

Answer:

The average revenue per passenger is about $13.85

μ = $13.85

The corresponding standard deviation is $14.51

σ = $14.51

The airline should expect revenue of $1,662 with a standard deviation of $14.51 for a flight of 120 passengers.

Expected revenue = $1,662 ± 14.51

Step-by-step explanation:

An airline charges the following baggage fees:

$25 for the first bag and $35 for the second

Suppose 51% of passengers have no checked luggage,

P(0) = 0.51

33% have one piece of checked luggage and 16% have two pieces.

P(1) = 0.33

P(2) = 0.16

a. Build a probability model, compute the average revenue per passenger, and compute the corresponding standard deviation.

The average revenue per passenger is given by

μ = 0×P(0) + 25×P(1) + 35×P(2)

μ = 0×0.51 + 25×0.33 + 35×0.16

μ = 0 + 8.25 + 5.6

μ = $13.85

Therefore, the average revenue per passenger is about $13.85

The corresponding standard deviation is given by

σ = √σ²

Where σ² is the variance and is given by

σ² = (0 - 13.85)²×0.51 + (25 - 13.85)²×0.33 + (35 - 13.85)²×0.16

σ² = 97.83 + 41.03 + 71.57

σ² = 210.43

So,

σ = √210.43

σ = $14.51

Therefore, the corresponding standard deviation is $14.51

b. About how much revenue should the airline expect for a flight of 120 passengers? With what standard deviation?

For 120 passengers,

Expected revenue = 120×$13.85

Expected revenue = $1,662 ± 14.51

Therefore, the airline should expect revenue of $1,662 with a standard deviation of $14.51 for a flight of 120 passengers.

Answer:

Null hypothesis: [tex]\sigma^2 \leq 0.003[/tex]

Alternative hypothesis: [tex]\sigma^2 > 0.003[/tex]

And for this case the statistic is given by:

[tex] T= (n-1)\frac{s^2}{\sigma^2_0}[/tex]

And replacing we got:

[tex] T =(26-1) \frac{0.06^2}{0.003}= 30[/tex]

Step-by-step explanation:

We have the following info given:

[tex] n = 26[/tex] represent the sample size

[tex] s =0.06[/tex] represent the sample deviation

We want to test the following hypothesis:

Null hypothesis: [tex]\sigma^2 \leq 0.003[/tex]

Alternative hypothesis: [tex]\sigma^2 > 0.003[/tex]

And for this case the statistic is given by:

[tex] T= (n-1)\frac{s^2}{\sigma^2_0}[/tex]

And replacing we got:

[tex] T =(26-1) \frac{0.06^2}{0.003}= 30[/tex]

Answer:

A

Step-by-step explanation:

9-2x≤3x+24

-15≤5x

-3≤x

so it's:

[-3,∞)

Answer:

4x² + 6x + 2

Step-by-step explanation:

Solve by factoring.

4x · x = 4x²

4x · 1 = 4x

2x · 1 = 2x

2 · 1 = 2

Combine like terms.

4x² + 4x + 2x + 2

= 4x² + 6x + 2

Hope this helps.

Answer:internal

Step-by-step explanation:

Answer:

internal

Step-by-step explanation:

took  the test

Hey there! :)

Answer:

56 m².

Step-by-step explanation:

To find the area, simply split the figure into a triangle and rectangle. Solve for the areas separately:

Solve for the rectangle: (A = l × w)

A = 8 × 5

A = 40 m²

Solve for the triangle: (A = 1/2 (bh))

A = 1/2(4 · 8)

A = 1/2(32)

A = 16 m².

Add up the two areas:

40 + 16 = 56 m².

Answer:

Area of triangle+ the area of rectangle

Step-by-step explanation:

Since, area of triangle is 1/2×base×height in right angled triangle, 1/2×4×8: 1/2×32= 16m²

Area of rectangle is length × breadth= 5×8: 40 m²

Area of the shape is 40m²+16m²= 56m²

Answer:

[tex]\hat p_1 -\hat p_2 \pm z_{\alpha/2} SE[/tex]

And for this case the confidence interval is given by:

[tex]0.11 \leq p_1 -p_2 \leq 0.39[/tex]

Since the confidenc einterval not contains the value 0 we can conclude that we have significant difference between the two population proportion of interest 1% of significance given. So then we can't conclude that the two proportions are equal

Step-by-step explanation:

Let p1 and p2 the population proportions of interest and let [tex]\hat p_1[/tex] and [tex]\hat p_2[/tex] the estimators for the proportions we know that the confidence interval for the difference of proportions is given by this formula:

[tex]\hat p_1 -\hat p_2 \pm z_{\alpha/2} SE[/tex]

And for this case the confidence interval is given by:

[tex]0.11 \leq p_1 -p_2 \leq 0.39[/tex]

Since the confidence interval not contains the value 0 we can conclude that we have significant difference between the two population proportion of interest 1% of significance given. So then we can't conclude that the two proportions are equal

Answer:

Step-by-step explanation:

In general, the transformation ...

  g(x) = f(x -h) +k

translates f(x) right h units and up k units.

The transformation ...

  g(x) = f(x/a)

stretches the graph horizontally by a factor of "a".

The transformation ...

  g(x) = -f(x)

causes the graph to be reflected over the x-axis.

___

Applying the above, we have ...

f(x) = 2^x reflected over x is g(x) = -2^x

f(x) = (1/3)^x translated up 5 is g(x) = (1/3)^x +5

f(x) = 3^x translated by (-2, -3) is g(x) = 3^(x +2) -3

f(x) = (1/2)^x translated down 2 is g(x) = (1/2)^x -2

f(x) = 4^x stretched horizontally by a factor of 3 is g(x) = 4^(x/3)

f(x) = 2^x translated by (3, 4) is g(x) = 2^(x -3) +4

Answer:

-2^x

(1/3)^x +5

3^(x +2) -3

(1/2)^x -2

4^(x/3)

2^(x -3) +4

Step-by-step explanation:

In general, the transformation ...

 g(x) = f(x -h) +k

translates f(x) right h units and up k units.

The transformation ...

 g(x) = f(x/a)

stretches the graph horizontally by a factor of "a".

The transformation ...

 g(x) = -f(x)

causes the graph to be reflected over the x-axis.

___

Applying the above, we have ...

f(x) = 2^x reflected over x is g(x) = -2^x

f(x) = (1/3)^x translated up 5 is g(x) = (1/3)^x +5

f(x) = 3^x translated by (-2, -3) is g(x) = 3^(x +2) -3

f(x) = (1/2)^x translated down 2 is g(x) = (1/2)^x -2

f(x) = 4^x stretched horizontally by a factor of 3 is g(x) = 4^(x/3)

f(x) = 2^x translated by (3, 4) is g(x) = 2^(x -3) +4