Amber rides m miles in h hours according to the equation m=2h. Which of the following represents the unit rate for her miles per hour?

Answer:

50

Step-by-step explanation:

Answer:

50

Explanation:

Answer:

Area = [tex]4x^6+12x^5+8x^4[/tex]

Step-by-step explanation:

The Complete Question:

A rectangle has height  [tex]4x^3[/tex]  and width  [tex]x^3+3x^2+2x[/tex]. What is the area of the rectangle in terms of x?

Solution:

The formula for the area of a rectangle is:

Area = Height * Width

Both the expressions for height and width is given, so we just need to multiply both the expressions to get an expression, in x, for the area of the rectangle. The algebra is shown below:

[tex]A=(4x^3)(x^3+3x^2+2x)\\A=4x^6+12x^5+8x^4[/tex]

This is the area of the rectangle.

Answer:

Step-by-step explanation:

slope of line perpendicular to x=4 is 0

reqd. eq. of line is y=-5

Answer:

Part 1) The radius is [tex]r=17\ units[/tex]

Part 2) The points (-15,14) and (-15,-16) lies on the circle

Step-by-step explanation:

The correct question is

A circle is centered at the point (-7, -1) and passes through the point (8, 7).

The radius of the circle is  ____units.

The point (-15,

?) ) lies on this circle

step 1

Find the radius of the circle

we know that

The distance from the center to any point on the circumference is equal to the radius.

we have

[tex](-7,-1),(8,7)[/tex]

Find the distance

the formula to calculate the distance between two points is equal to

[tex]d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}[/tex]

substitute

[tex]r=\sqrt{(7+1)^{2}+(8+7)^{2}}\\r=\sqrt{(8)^{2}+(15)^{2}}\\r=\sqrt{289}\\r=17\ units[/tex]

step 2

The point (-15,y) lies on the circle

we know that

If a ordered pair lie on the circle, them the ordered pair must satisfy the equation of the circle

The equation of the circle is

[tex](x-h)^{2}+(y-k)^{2}=r^{2}[/tex]

The center is (-7,-1) an the radius is 17 units

substitute

[tex](x+7)^{2}+(y+1)^{2}=17^{2}\\(x+7)^{2}+(y+1)^{2}=289[/tex]

substitute the x-coordinate of the point and solve for the y-coordinate

For x=-15

[tex](-15+7)^{2}+(y+1)^{2}=289\\(-8)^{2}+(y+1)^{2}=289\\64+(y+1)^{2}=289\\(y+1)^{2}=289-64\\(y+1)^{2}=225[/tex]

square root both sides

[tex](y+1)=\pm15\\y=-1\pm15\\y=-1(+)15=14\\y=-1(-)15=-16[/tex]

therefore

The points (-15,14) and (-15,-16) lies on the circle

see the attached figure to better understand the problem

The question relates to the properties of a circle in a coordinate system, where the circumference and area can be calculated using the radius. The circumference of a circle is found using C = 2πr, and the area is A = πr². Without a given radius, these formulas are a guide for any calculations that may be done once the radius is known.

The question asks about the properties of a circle given its center and radius, which fall under the topic of Geometry in Mathematics. No specific value for the radius is provided, so the answer should include an explanation of how one might calculate various properties of a circle, such as the circumference or area, given a radius.

Understanding the Circle

A circle with its center located at (-7, -1) means it is positioned on a coordinate system at that point. If a radius was provided, the circumference of the circle would be calculated using the formula C = 2πr and the area using A = πr², where 'r' represents the radius of the circle and 'π' (pi) is approximately 3.14159. For example, if r = 1.2 m, the area calculated to two significant figures would be A = 4.5 m².

For a circle to fit perfectly inside a square, its diameter should be equal to the side of the square; this implies that a = 2r. The area of the square is a² = 4r², and a circle inside this square would have an area of approximately three-quarters of the square, or near πr². The perimeter (circumference) of the circle is somewhat close to 6r as the perimeter should be 2πr.

You would spend $63.58 on gas per week.

Step-by-step explanation:

Given,

Distance per day = 117 km

Distance in a week = 117*7 = 819 km

1 km = 0.6214 mile

819 km = 819*0.6214 = 508.93 miles

Car's mileage = 42.0 mi/gallons

Let,

x be the gallons for 508.93 miles

x gallons = [tex]\frac{508.93}{42}=12.12[/tex]

Therefore,

12.12 gallons of gas is needed for one week.

1 US gallon = 3.785 liters

12.12 gallons = 12.12*3.785

12.12 gallons = 45.87 liters

Cost of gas per liter = 1.10 euro

Cost of 45.87 liters = 1.10*45.87 = 50.457 euros

1 euro = $1.26

50.457 euros = 1.26*50.457 = $63.58

You would spend $63.58 on gas per week.

Keywords: multiplication, division

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Answer:

a=[tex]17\sqrt{2}[/tex]

Step-by-step explanation:

As we have 2 of the angles, we can find the third. The measure of the third angle is 45 degrees.

As this is the same measure as the other, that means that the side length will be the same.

Now was have two side lengths of 17 in a right triangle, so we can use the Pythagorean theorem to find a.

Recall that the pythagorean theorem states: [tex]a^2+b^2=c^2[/tex]

In this case, a is 17, b is 17, and c is a

Knowing this, we can input our value into this formula and solve for a.

[tex]17^2+17^2=a^2\\\\289+289=a^2\\\\a=\sqrt{578} \\\\a=17\sqrt{2}[/tex]

Answer:

17sqrt2

Step-by-step explanation:

45 45 90 triangles side: hypotenuse  a:a*sqrt2

17*sqrt2=17sqrt2

Evaluate.

12.25 - 7 2/3 = 12 1/4 - 7 2/3 = 12 3/12 - 7 8/12 = 4 7/12

answer: B

Answer:

12.75 + 0.75v = t

Step-by-step explanation:

12.75 is the fee she has to pay to join so you would add that to the cost of videos she rented. Since 0.75 is the cost of one and you don't know how many she rented you would put a variable which in this case would be "v". So if she payed the fee and rented 2 videos it would be 12.75 + 0.75(2) = 14.25

The correct equation to represent the total amount Sierra pays to rent videos is:

[tex]\[ t = 0.75v + 12.75 \][/tex]

Where [tex]\( t \)[/tex] represents the total cost, [tex]\( v \)[/tex] represents the number of videos Sierra rents, [tex]\( 0.75 \)[/tex] is the cost per video, and [tex]\( 12.75 \)[/tex] is the initial fee Sierra paid to join the video rental club. The term [tex]\( 0.75v \)[/tex] calculates the total cost of renting [tex]\( v \)[/tex] videos, and adding [tex]\( 12.75 \)[/tex] accounts for the initial fee. This equation allows us to determine the total cost [tex]\( t \)[/tex] for any number of videos [tex]\( v \)[/tex] that Sierra rents.

Answer:

-i

Step-by-step explanation:

Answer:

The 2 expressions are:

1) −2.6x−(−5.9x) = −2.6x + 5.9x

2) −2.6x+(−5.9x) = −2.6x - 5.9x

Options:

−2.6x−5.9x  -> equivalent to 2nd expression

5.9x+(−2.6x)  = −2.6x) + 5.9x -> equivalent to 1st expression

5.9x−(−2.6x)  = 5.9x + 2.6x = 2.6x + 5.9x ->  equivalent to neither expression

−5.9x+(−2.6x)  = −5.9x − 2.6x =  − 2.6x − 5.9x -> equivalent to 2nd expression

−2.6x+5.9x  -> equivalent to 1st expression

−5.9x+2.6x = 2.6x − 5.9x ->  equivalent to neither expression

The correct ordered pair for the given equation is D. (3,4).

To find the correct ordered pair, we substitute the x-value from each pair into the equation and check if the resulting y-value matches the one in the ordered pair.

Substituting x = 5 into the equation gives us 52 - 2(5) + 1 = 25 - 10 + 1 = 16, which does not match the y-value of 10 in the ordered pair (5,10), so A is not correct.

Substituting x = -1 gives us (-1)2 - 2(-1) + 1 = 1 + 2 + 1 = 4, which does not match the y-value of 3 in (-1,3), so B is not correct.

Substituting x = 1 gives us 12 - 2(1) + 1 = 1 - 2 + 1 = 0, which does not match the y-value of 2 in (1,2), so C is not correct.

Finally, substituting x = 3 into the equation gives us 32 - 2(3) + 1 = 9 - 6 + 1 = 4, which matches the y-value in the ordered pair (3,4), making D the correct answer.

Therefore, the correct ordered pair is D. (3,4).

Answer:

$0.25 per ticket

Step-by-step explanation:

$3 for 12 tickets so divided the number of tickets by amount of money spent to find price per ticket.

3/12 = $0.25 per ticket

Answer:

0.25

Step-by-step explanation:

beacuse  it is 0.25 because 0.25 times 12 = $3.00

Answer:

d

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Answer:

were is the diagram

Step-by-step explanation:

Answer:

y = 110°

x = 55°

Step-by-step explanation:

The line is a transversal.

∠Y = 110°, according to the rule of transversals.

Also, 2X = Y, since in a transversal the vertical angles are equal.

Vertical angles are the ones that are at the intersection of the parallel line and the transversal.

So, 2X = Y = 110°

⇒ X = 55°

Hence, X = 55° and Y = 110°.

Answer:

11.43 kilometers

Step-by-step explanation:

Answer:

11.43 kilometers.

Step-by-step explanation:

All you have to do is add the two distances (AKA numbers, to make it even simpler). It doesn't matter what distance was traveled by train or bus! The point is that the distances traveled were both in kilometers! With that being said, all we have to do is add 7.22 + 4.21, and voila! We get 11.43!

Hope this answer helps! Please rate it and give me Brainliest! :D

Have a great day!

Answer:

[tex]([7]x+[2])^2[/tex]

Step-by-step explanation:

Given:

[tex]49x^2+28x+4[/tex]

We need to factorize the given trinomial.

To solve the above expression we will Split the product of first term and third term to get the second term by either adding or subtracting.

So we get;

[tex]49x^2+14x+14x+4\\\\7x(7x+2)+2(7x+2)\\\\(7x+2)(7x+2)\\\\(7x+2)^2[/tex]

Hence Final Answer is:

[tex]([7]x+[2])^2[/tex]

The height of the statue is 19.5 feet.

Why?

We can solve the problem using trigonometric formulas. In this case, we are going to use the trigonometric formula of the tangent.

We know that the person is standing 50ft from the statue, so, it will be the base of the two triangles formed by both angles (elevation and depression)

Using the trignometric formula, we have:

First triangle:

[tex]tg(\alpha )=\frac{h_{1}}{base} \\\\tg(8\°)=\frac{h_{1}}{50ft}\\\\0.14*50ft=h_1\\\\h_1=7ft[/tex]

Second triangle:

[tex]tg(\alpha )=\frac{h_{2}}{base} \\\\tg(14\°)=\frac{h_{1}}{50ft}\\\\0.25*50ft=h_1\\\\h_1=12.5ft[/tex]

Now, the total height of the statue will be:

[tex]TotalHeight=h_1+h_2=7ft+12.5ft\\\\TotalHeight=19.5ft[/tex]

Have a nice day!

In this question, we utilize trigonometry to calculate the height of the statue. By using the tangent of the given angles and the known distance from the observer to the statue, we can find the lines of sight when looking up and down. Subtracting these two measurements gives us the height of the statue, which we find to be 5.2ft.

This question is about applying trigonometry to find the height of an object, in this case, a statue. First, we need to find the height of the line of sight when the person looks up and when they look down. The height for the line of sight when looking up can be found using the formula for the tangent of an angle: tan(θ) = opposite side/adjacent side. Applying this formula, we find that the height of this line of sight is tan(8°) * 50ft = 7.1 ft. Similarly, when looking down, the height is tan(14°) * 50ft = 12.3 ft.

The height of the statue is the difference between these two heights. Therefore, we find: 12.3ft - 7.1ft = 5.2ft

This is a simple application of the concept of the tangent of an angle in a right triangle, a basic part of trigonometry.

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Answer:

[tex]\cos\theta=\pm0.5[/tex]

Step-by-step explanation:

Given:

[tex]\sin^2\theta=0.75[/tex]

To find [tex]\cos\theta[/tex]

Using trigonometric relations for sums and differences of squares of the ratios.

We know:

[tex]\sin^2\theta+\cos^2\theta =1[/tex]

Plugging in  [tex]\sin^2\theta=0.75[/tex] in the above relation.

[tex]0.75+\cos^2\theta =1[/tex]

Subtracting both sides by 0.75.

[tex]0.75+\cos^2\theta-0.75 =1-0.75[/tex]

[tex]\cos^2\theta =0.25[/tex]

Taking square root both sides.

[tex]\sqrt{\cos^2\theta} =\sqrt{0.25}[/tex]

∴ [tex]\cos\theta=\pm0.5[/tex]  (Answer)

Answer:

4+4x=20

4x=20-4

4x=16

x=16/4

x=16

AnswerAnswerAnswerAnswerAnswerAnswerAnswer

Answer:

$50.95

Step-by-step explanation:

2(11.99)+3(8.99)=50.95

Answer:

NM and FG

Step-by-step explanation:

To make sure the triangles are congruent by SAS, Ebony needs to compare the lengths of two sides and the measure of the included angle of the triangles.

In order to make sure the triangles are congruent by SAS (Side-Angle-Side), Ebony would need to compare the lengths of two sides and the measure of the included angle of the triangles.

Specifically, Ebony would need to compare:

If the length of segment EF is equal to segment ON and the measure of ∠MON is equal to ∠GEF, then the triangles will be congruent by the SAS postulate.

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Answer:

Here we do not have the options, but ill try to give an answer.

A system of equations is something of the shape:

A1*x + B1*y = C1

A2*x + B2*y = C2

Where this is a linear relationship, you could have a more complex system, but this will work for the example.

If you want to have a unique solution for a system of equations, you need to have the same number of linearly independent equations (this means that the equations are not repeated, like for example in x + y = 2, and 2x + 2y = 4, where the second equation is equal to two times the first one) than the number of variables, so if we have two variables X and Y, we need to have two linearly independent equations.

If we have less, suppose that you have two variables and only one equation, you will have:

A1*x + B1*y = C1

y = (C1 - A1*x)/B1

Here, for each value of x you have a different value of y, so you have infinite solutions.

So for an answer this you need to find the system where the number of linearly independent equations is smaller than the number of variables.

Answer: 14.9 years, approximately 15years.

Step-by-step explanation:

Formular for finding the amount of a compound interest

A = P ( 1 + r/100 )n

From the question given,

A = $14,000; P = $4,000; n = ? (year)

Rate = 8.75%.

Substitute for these values in the above equation, we therefore have

14,000 = 4,000(1+ 8.75/100)n (is raised to the power of n)

Divide both side by 4,000

14,000/4,000 = 4,000(1+8.75/100)n/4,000.solving the one in bracket fractionally

3.5 = {(100 + 8.75)/100}n

3.5 = (108.75/100)n

3.5 = 1.0875n( raised to the power of n).In order to solve for 'n' to know the number of years, we take the logarithm of both side.

Log.3.5 = Log(1.0875)n

Going by the law of logarithm,

Log 3.5 = nLog1.0875

Checking your log table, log 3.5 =0.5441 and log1.0875 = 0.0364

Equating both and solve for n

0.5441 = 0.0364n

Divide through by the coefficient of n,

n = 0.5541/0.0364

n = 14.9 years

Approximately 15 years

Hence it will take $4,000 at 8.75% rate to amount to $14,000 a period of 14.9 years approximately 15years.

Answer:

3 1/4 + 2 7/8= 6 1/8

Step-by-step explanation:

1.  Cross multiply 1/4 and 7/8 which equals 1  1/8.

2. 3+2+1(from cross multiplying)= 6

Answer: 6 1/8

Using fraction strips, the result of 3 1/4 + 2 7/8 is 6 1/8.

Simplifying procedures is one way to achieve uniformity in job efforts, expenses, and time. It reduces diversity and variation that is pointless, harmful, or unneeded. Parenthesis, exponents, multiplication, division, addition, and subtraction are all referred to as PEMDAS. The order of the letters in PEMDAS informs you what to calculate first, second, third, and so on, until the computation is finished, given two or more operations in a single statement.

Given, Jane is adding 3 1/4 + 2 7/8 using fraction strips.

Fraction strips are rectangular pieces (electronic or copied on paper strips) to represent different parts of the same whole. They can be cut apart and manipulated to see how various parts can be added together to make the whole or compare different fractional amounts for equivalency.

First, we will add fraction parts

=> 1/4 + 7 / 8

We can write 1/4 as 2/8 since they have the same values

=> 2/8 + 7/8

Since now the denominators are the same, therefore we can add the numerators directly. Hence, the sum of 2/8 and 7/8

=> 9/8

=> 8/8 +1/8

=> 1 + 1/8

Thus the sum = 3 + 2 + 1 + 1/8

Sum = 6 + 1/8

therefore, the sum of 3 1/4 + 2 7/8 using fraction strips is 6 1/8.

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Answer: 4,900,000

Step-by-step explanation:

5 million - 100 thousand = 4.9 million

Answer: 3/5 * 3/1 is 9/5 I think

Step-by-step explanation: Go to a calculator and type it but I think it’s KCF so yeah

Answer:

9/5 or 1.8

Step-by-step explanation:

3/5 * 3/1 = 9/5 or 9 divided by 5 gets 1.8

Answer:

[see pdf]

Step-by-step explanation:

The graph makes a straight line, not a curve, so it is linear.

However, the graph has only points, not a full line, so it's also discrete.

(also yes I meant of instead of on in the pdf)

Answer:

A. discrete, C. linear

Step-by-step explanation:

By analysing the graph, it is evident that model is discrete since there is only information of certain points and shows a linear behavior, as there is a constant rate between dependent and independent variable. So, the right choices are A and C.

Answer:

  y = tan(x +π/2)

Step-by-step explanation:

It can be helpful to start with a simple sketch of the function you have and of the tangent function. Then, you can see the relationship.

The tangent function is always rising, has vertical asymptotes at -π/2 and π/2, and has a zero crossing at x=0.

The function we want is always rising, has vertical asymptotes at x=0 and x=±π, and a zero crossing at x=-π/2.

We can create the function we want by shifting the tangent function to the left by π/2. The formula that does that is ...

  y = tan(x +π/2)