Find the slope of the line that passes through the points (1,-4) and (3,-1).

Answer:

5: 5, 10, 15, 20, 25, 30, 35, 40, 45, 50, etc.

8: 8, 16, 24, 32, 40, 48, 56, 64, 72, 80, etc.

Step-by-step explanation:

Common multiples are found as you multiply like how i got a common multiple of five and it was 20 we simply multiply  5 times 4 and get 20.

Answer:

[tex]a = 40600(1 + \frac{0.009}{1} ) {}^{10} = 40600 \times 1.0937 = 44405.6[/tex]

Answer: 14.7 grams of fat.

Step-by-step explanation:

The data we have is:

1g of sugar contains 4 cal

1g of fat contains 9 cal.

Let's define:

S = # of grams of sugar.

F = # of grams of fat.

We know that:

A serving has 160 calories:

S*4cal + F*9cal = 160 cal.

S = 7.

Then we can replace the second equation into the first one, and get:

7*4cal + F*9cal = 160cal

F*9cal = 160cal - 28cal = 132 cal.

F = 132cal/9cal = 14.66...

Now we want to round it to the first decimal place, the next decimal after it is a 6, so we must round up.

F = 14.7

This means that the serving has 14.7 grams of fat.

Answer:

The points that are 10 units from P(-17,-2) are (-23,6) and (-11,6)

Step-by-step explanation:

Distance Between Points in the Plane

Given two points A(x,y) and B(w,z), the distance between them is:

[tex]d=\sqrt{(z-y)^2+(w-x)^2}[/tex]

It can be also expressed as:

[tex]d^2=(z-y)^2+(w-x)^2[/tex]

Substituting the values of both points, and knowing the distance is 10:

[tex]10^2=(6-(-2))^2+(x+17)^2[/tex]

[tex]100=8^2+(x+17)^2[/tex]

Swapping both sides:

[tex]64+(x+17)^2=100[/tex]

Moving the constants to the right side:

[tex](x+17)^2=100-64=36[/tex]

Taking the square root:

[tex]x+17=\pm 6[/tex]

We get two possible answers:

[tex]x=-17-6=-23[/tex]

[tex]x=-17+6=-11[/tex]

Thus the points that are 10 units from the point P(-17,-2) are (-23,6) and (-11,6)

Answer:

Step-by-step explanation:

A. Distributive property.

B. Combine like terms.

C. Addition property of equality.

Answer:

a,d,f

Step-by-step explanation:

Answer:

if jerry wanted 36 takis for a party and after the party, there were 7 x 2 how many takis were left? hope that helped

Step-by-step explanation:

The final parametric equations describing the plane's motion are:

x(t) = 0 + (425 km - 0) * t = 425t

y(t) = 0 + (736.6 km - 0) * t = 736.6t

z(t) = 1650 meters

where t varies from 0 to 1.36 hours.

Let's set up a coordinate system with the origin at sea level beneath Denver.

We'll use the x-axis to point east, the y-axis to point north, and the z-axis to point upward.

The plane starts directly above Denver at an altitude of 1650 meters.

We can represent this as the initial point P₀(0, 0, 1650).

The plane then flies to Bismark, which is about 850 km in the direction 60° north of east from Denver.

Let's represent the position of Bismark as the point P₁(x, y, z), where x and y are the horizontal displacements (east and north, respectively), and z is the altitude above sea level.

Since the plane flies at a constant height of 7500 meters above the line joining Denver and Bismark, the altitude z remains constant at 7500 meters.

Let's calculate the horizontal displacements x and y:

The eastward displacement x can be found using the cosine of the angle (60°) and the distance to Bismark (850 km):

x = 850 km * cos(60°) ≈ 425 km

The northward displacement y can be found using the sine of the angle (60°) and the distance to Bismark (850 km):

y = 850 km * sin(60°) ≈ 736.6 km

Now, we can write the parametric equations for the plane's motion:

x(t) = x₀ + (x₁ - x₀) * t

y(t) = y₀ + (y₁ - y₀) * t

z(t) = z

where:

x₀ = 0 (initial x-coordinate at Denver)

y₀ = 0 (initial y-coordinate at Denver)

z = 1650 meters (altitude above sea level at Denver)

x₁ = 425 km (x-coordinate at Bismark)

y₁ = 736.6 km (y-coordinate at Bismark)

The parameter t represents the time in hours.

The plane's motion is constant, so t will vary from 0 to the time it takes to travel from Denver to Bismark at a speed of 625 km/hour.

To find the time it takes, we can use the distance formula:

Distance = Speed * Time

850 km = 625 km/hour * Time

Time = 850 km / 625 km/hour ≈ 1.36 hours

A plane directly above Denver, Colorado, (altitude 1650 meters) flies to Bismark, North Dakota (altitude 550 meters).

It travels at 625 km/hour at a constant height of 7500 meters above the line joining Denver and Bismark. Bismark is about 850 km in the direction 60∘ north of east from Denver.

Assume the origin is at sea level beneath Denver, that the x-axis points east and the y-axis points north, and that the earth is flat. Measure distances in kilometers and time in hours.

So, the time it takes for the plane to travel from Denver to Bismark is approximately 1.36 hours.

The final parametric equations describing the plane's motion are:

x(t) = 0 + (425 km - 0) * t = 425t

y(t) = 0 + (736.6 km - 0) * t = 736.6t

z(t) = 1650 meters

where t varies from 0 to 1.36 hours.

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Answer:

5

Step-by-step explanation:

Begin by removing the brackets.

5x + 5 - 5x

Notice that there are two 5xs. They are of opposite signs so they cancel

Answer 5

Answer:

5

Step-by-step explanation:

5(x+1) -5x

multiply the 5 into the ()

5x+5 -5x

add like terms

5x-5x=0

but their is still the leftover 5

Sorry if this is confusing.

Answer:

it is 0.5

Step-by-step explanation:

Answer:

0.5

Step-by-step explanation:

quick maths

Rosa is correct. The perimeter of a parallelogram can be determined by adding the two sides and doubling the sum.

A  parallelogram is a quadrilateral (a four-sided object) that is made up of parallel sides. The opposite sides and angles are congruent .

Given that;

Rosa has a garden in the shape of a parallelogram. she says she can find the perimeter Of her garden by adding the 2 sides and doubling the sum.

Since, The perimeter of the parallelogram is the distance round the shape. It is the sum of the four sides.

Thus, Rosa is correct.

Because The perimeter of a parallelogram can be determined by adding the two sides and doubling the sum

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Answer:

4.54 g/cm^3

Step-by-step explanation:

d = m/v

d = 454 g ÷ 100.0 cm^3

d = 4.54 g/cm^3

3 sig figs so this answer is complete

Answer:

h=  −15  /2

Subtract 6h from both sides.

Subtract 7 from both sides.

Divide both sides by 2.

Answer:

Just calculate the area

x = 20

Hi there !

we have opposite angles =>

2 + 3x = 62

3x = 62 - 2

3x = 60

x = 60 : 3

x = 20

Good luck !

Answer:

cumulative cell phone cost after 18 months = 922.4

Step-by-step explanation:

We are given the line of best fit for the data as;

C = 51m + 4.4

where;

C is the cumulative cell phone cost

m is the number of months.

Now, we are told that m = 18 months

Thus;

C = 51(18) + 4.4

C = 918 + 4.4

C = 922.4

Tthe best prediction of the cumulative cell phone cost after 18 months is 922.4

Given the equation for the line of best fit expressed as C = 51m + 4.4,

where

C is the cumulative cell phone cost

m is the number of months.

We need to predict the cost after 18 months. Substitute m = 18 into the function to get C

C = 51m + 4.4

C = 51(18) + 4.4

C = 918 + 4.4

C = 922.4

Hence the best prediction of the cumulative cell phone cost after 18 months is 922.4

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Answer:

b. 19.5

Step-by-step explanation:

The approximate measure of angle JGH is 70.529°.

According to this question, we have a right triangle in which lengths of its hypotenuse ([tex]GH[/tex]), in centimetres, and one leg ([tex]JH[/tex]) are known and we must determine the measure of an angle ([tex]m\angle JGH[/tex]), in degrees. A representation of this triangle is included in the image attached below.

By trigonometry we have the following expression for the required angle:

[tex]\cos m\angle GJH = \frac{HJ}{GH}[/tex] (1)

([tex]HJ = 2[/tex], [tex]GH = 6[/tex])

[tex]m \angle GJH = \cos ^{-1} \frac{2}{6}[/tex]

[tex]m \angle GJH \approx 70.529^{\circ}[/tex]

The approximate measure of angle JGH is 70.529°. [tex]\blacksquare[/tex]

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Answer:

−3/2x−7

Step-by-step explanation:

1/2x+7−(2x+14)

1/2x+7+−1(2x+14)

1/2x+7+−1(2x)+(−1)(14)

1/2x+7+−2x+−14

Combine Like Terms:

1/2x+7+−2x+−14

(1/2x+−2x)+(7+−14)

Answer:

7 = 2x - 4x + 14.

Step-by-step explanation:

Greetings! Hope this helps!

Answer

D {-3, 5}

R: {0,4}

Have a good day!

_______________

A brainliest would help tons! :D

Answer: 1/4

Step-by-step explanation:

Written in y=mx+b form

y = [tex]\frac{1}{4}\\[/tex]x + 6

Step-by-step explanation:

If n is pounds of nuts, and c is pounds of cereal squares, then:

n + c = 12

8n + 3c = 5.5(12)

Solve with substitution:

8n + 3(12 − n) = 5.5(12)

8n + 36 − 3n = 66

5n = 30

n = 6

c = 12 − n

c = 6

So Mia should use 6 pounds of nuts and 6 pounds of cereal squares.

Answer:A down payment of 25% is made. The bank charges $725 in fees plus $$3 \frac { 1 } { 2 }$$ points. Find the total of the down payment and the closing costs. ... The bank charges $725 in fees plus 312. points. Find the total of the down payment and the ... We found a book related to your question. ... Round to the nearest cent.

Step-by-step explanation: i hope it helps your qestion

If the purchase price of a condominium is $123500, down payment of 23%, then the total of down payment and the closing costs is $166725.

Percentage is the number or ratio that is expressed in fraction of 100. It is expressed as %. It shows some part of large quantity.

We have been given that the price of condominium is $123500. Down payment is 23% of the total price , it is 23%*123500=$28405

Left out amount will be 123500-28405=$95095.

Points=(2*3+1)/2=7/2

let the percentage of fees be x% then fees percentage will be :

7/2=x/100

x=35%

Fees will be 123500*35%=$43225.

Closing cost=95095+43225=$138320

Total will be 28405+138320

=$166725

Hence the total of down payment and closing cost will be $166725.

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Answer:

Step-by-step explanation:

[tex] \frac{32}{ \sqrt[8]{16} } \\ [/tex]

Simplify

[tex] \frac{32}{1.414213562} \\ \\ = 22.627417[/tex]

Method 2 :

By rationalizing the denominator

Answer:

it's false; dilating a triangle won't change the angles

Step-by-step explanation:

Complete Question

The complete question is shown on the first uploaded image

Answer:

Using 2SD Method

The confidence interval is

     The interval notation :  [tex](0.108 ,  0.212 )[/tex]

     The interval notation and the sample proportion ± the margin of error

     notation:[tex]0.16 \pm  0.052[/tex]

 The  interpretation

    There is  95% confidence that the true proportion of those that dislike  cilantro lie within the upper(0.212) and the lower(0.108) limit of the calculate confidence interval

Using theory-based method      

      The 95% confidence interval is

            The interval notation :   [tex](0.109 ,  0.211 )[/tex]

     The interval notation and the sample proportion ± the margin of error

     notation:[tex]0.16 \pm  0.051[/tex]

 The  interpretation

      There is  95% confidence that the true proportion of those that dislike  cilantro lie within the upper(0.211) and the lower(0.109) limit of the calculate confidence interval

Using theory-based method  

 The 88% confidence interval is  

         The interval notation :   [tex](0.120 ,  0.200 )[/tex]

          The interval notation and the sample proportion ± the margin of

           error notation:   [tex]0.16 \pm 0.040[/tex]

The interpretation is

  There is  88% confidence that the true proportion of those that dislike  cilantro lie within the upper(0.200 ) and the lower(0.120) limit of the calculate confidence interval.

Step-by-step explanation:

From the question we are told that

The number sample size is n = 200

The number of people that dislike cilantro is k = 32

Generally the sample proportion is mathematically represented as

[tex]\r p = \frac{k}{N}[/tex]

=> [tex]\r p = \frac{32}{200}[/tex]

=> [tex]\r p = 0.16[/tex]

Generally 2SD confidence interval is mathematically represented as

[tex]\r p \pm 2\sqrt{\frac{\r p(1 - \r p)}{n} }[/tex]

substituting value

[tex]0.16 \pm 2\sqrt{\frac{0.16(1 - 0.16)}{200} }[/tex]

=> [tex]0.16 \pm 0.052[/tex]

This can also be represented as

[tex](0.16 - 0.052 , 0.06 + 0.052)[/tex]

=> [tex](0.108 , 0.212 )[/tex]

Generally this confidence interval can be interpreted as

There is 95% confidence that the true proportion of those that dislike cilantro lie within the upper and the lower limit of the calculate confidence interval

Using theory-based method estimate 95% confidence interval

Generally from the question the confidence level is 95% hence the level of significance is calculated as

[tex]\alpha = (100 - 95)\%[/tex]

=> [tex]\alpha = 0.05[/tex]

The critical value of [tex]\frac{\alpha }{2}[/tex] from the normal distribution table is

[tex]Z_{\frac{\alpha }{2} } = 1.96[/tex]

Generally the confidence level using theory base method is

[tex]0.16 \pm 1.96 \sqrt{\frac{0.16 (1- 0.16)}{200} }[/tex]

=>     [tex]0.16 \pm 0.051[/tex]

This can also be represented as

[tex](0.16 - 0.051 , 0.06 + 0.051)[/tex]

=> [tex](0.109 , 0.211 )[/tex]

Generally this confidence interval can be interpreted as

There is 95% confidence that the true proportion of those that dislike cilantro lie within the upper(0.211) and the lower(0.109) limit of the calculate confidence interval

Using theory-based method estimate 88% confidence interval

Generally from the question the confidence level is 95% hence the level of significance is calculated as

[tex]\alpha = (100 - 88)\%[/tex]

=> [tex]\alpha = 0.12[/tex]

The critical value of [tex]\frac{\alpha }{2}[/tex] from the normal distribution table is

[tex]Z_{\frac{\alpha }{2} } =Z_{\frac{0.12 }{2} } = 1.55[/tex]

Generally the confidence level using theory base method is

[tex]0.16 \pm 1.55 \sqrt{\frac{0.16 (1- 0.16)}{200} }[/tex]

=>     [tex]0.16 \pm 0.040[/tex]

This can also be represented as

[tex](0.16 - 0.040 , 0.06 + 0.040)[/tex]

=> [tex](0.120 , 0.200 )[/tex]

Generally this confidence interval can be interpreted as

There is 88% confidence that the true proportion of those that dislike cilantro lie within the upper(0.200 ) and the lower(0.120) limit of the calculate confidence interval

Answer:

f(g(x)) = 75x^2 -90x + 28

Domain: (-∞,∞)

Step-by-step explanation:

fog = f(5x-3)

f(5x-3) = 3( 5x - 3 )^2 +1

3( 5x - 3 )^2 +1 = 75x^2 -90x + 28