Find an equation of the circle and sketch it if it has: Center on y=4, tangent x-axis at (–2, 0)

Answer:

Infinite amount of solutions

Step-by-step explanation:

Step 1: Write equation

4(3x + 3) = 15x + 7 - 3x + 5

Step 2: Solve for x

Here, we can see that x would be infinite amount of solutions. We can plug in any number x and it would render the equation true.

Answer:

-496.76

Step-by-step explanation:

I hope this helps!

Answer:

1) e: He places higher in horseback riding than in swimming.

2) e: 6

Step-by-step explanation:

1)If Jason places higher in running than in biking and places higher in biking than in ice skating and swimming, which one of the following allows all six of his race rankings to be determined?

We are told in the question that:

Two places are consecutive only if the place numbers are consecutive.

Therefore, Option e. He places higher in horseback riding than in swimming. Is that one that allows all his race rankings to be determined is correct

2)If Jason places higher in running than in biking and places higher in horseback riding than in ice skating, exactly how many of his rankings can be determined?

From the above comprehension, we are told that Jason entered six races: which are as follows: biking, canoeing, horseback riding, ice skating, running, and swimming.

Therefore, since he entered 6 races, each races would have a ranking of their own. Hence, the number of his rankings that can be determined is 6.

Option e is correct.

1. e: He places higher in horseback riding than in swimming

2. e: 6

We're given:

First question gives:

This situation if mixed with point  e :

Horseback riding rank > rank in swimming

Then this is what we get:

Canoeing = 1st position

Running = 2nd position

biking = 3rd position

Ice Skating = Horseback riding  = 4th rank (overlapped since overall he can only have all 6 ranks from first to fifth)

Swimming = 5th rank

Thus option e allows all six of his races rankings to be determined.

Second condition gives:

    1. Rank in running > rank in biking

    2. Rank in Horseback riding > rank in swimming

This implies that

    canoeing rank > running rank > biking rank > horseback riding > swimming

And since ranks cannot go outside from first to fifth position and since ice skating is consequent to swimming thus we have:

canoeing rank = 1

running rank = 2

biking rank = 3

horseback riding rank  = ice skating ranking= 4

swimming rank = 5

Thus option e is correct as all the six rankings are determined.

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Answer:

coefficients: 7, from the term 7b

Constants: 2 (not the exponent)

Step-by-step explanation:

Coefficients are the number in front of a variable and constants are normal numbers without variables or exponents.

Answer:

Expanded Form = 30 + 8 + 0.4 + 0.06 + 0.004

Standard Form = 38.464

Step-by-step explanation:

These are the answers because:

1) Expanded form means to write a number to show the value of each digit

2) Standard form means to write down the number that is describing described

Hope this helps! :D

The correct answer is: O Yes, distance and angle measure are preserved.

When a triangle ABC is reflected across the line y = x, the pre-image and image are congruent.

This is because the line y = x is the perpendicular bisector of the segment joining each corresponding point of the pre-image and image.

Reflection across the line y = x is a type of transformation known as an isometry, which preserves both distance and angle measure.

Here's why:

Distance preservation:

When a point is reflected across the line y = x, the distance between the original point and its reflection remains the same.

This holds true for all corresponding points of the triangle.

Therefore, the distance between any two corresponding points in the pre-image and image triangle will be equal, resulting in distance preservation.

Angle preservation: When a line segment is reflected across the line y = x, the angle between the line segment and the line y = x is preserved. This means that the corresponding angles in the pre-image and image triangle will be congruent.

Since both distance and angle measure are preserved during reflection across the line y = x, the pre-image and image triangles are congruent.

It's important to note that congruence under reflection across a line holds only when the line of reflection is the same for both the pre-image and image.

If the line of reflection were different, the triangles would not be congruent.

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Answer:

8 x + 3 = 75

9 x - 6 = 75

5 x + 5 = 50

Step-by-step explanation:

8 x + 3

8 (9) + 3

72 + 3

75

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

9 x - 6

9 (9) - 6

81 - 6

75

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

5 x + 5

5 (9) + 5

45 + 5

50

Answer:

You never gave the answer choices but it should look something like this.

5 ⋅ 8.5 = x

or

x / 5 = 8.5

as for x.  X=42.5

Answer:ehhwvwhsv

Step-by-step explanation:

Answer:

-1/8 is the answer

Step-by-step explanation:

1.) 1st we have to take 1/2x and make the bottom number 4. so we multiply by 2 and you should get 2/4.

2.) so now the equation should be 3/4x + 5 -2/4x = 3. now you take 3/4x and -2/4x and subtract them and you should get 1/4x.

3.) now the equation should look like 1/4x + 5 = 3. now we need to get all whole numbers to one side. so we will subtract 5 from 5 and that will cancel it out and we need to do that to both sides. so we will subtract 5 from 3 and you will get -2.

4.) now the equation should look like 1/4x = -2. now you put a 1 under the 2 to make it a fraction. it should look like 2/1 and then you are going to flip it because that is how you divide fractions. so now your equation should look like 1/4x = 1/2. now you multiply strait across both bottom and top. and you will get x = -1/8 and that is your answer.

hope this helped!

p.s it would be cool if you gave me brainliest.      

Using cosine ratio from trigonometric ratio, the distance he needs to throw is 11.55ft

To solve this problem, we need to use trigonometric ratio since from the triangle given, Batman and Joke makes a right-angle triangle with the house.

Since the house is 10ft high and the angle between Batman and Joke is 30°.

Using trigonometric ratio, we can apply cosine ratio to determine the distance in which he needs to throw the star.

cosθ = adjacent / hypothenuse

cos 30 = 10 / x

cross multiply both sides

x = 10 / cos 30

x = 11.55ft

He needs to throw the star a distance of 11.55ft

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Answer:

D

Step-by-step explanation:

Answer:

because there are 1000 grams in a kilogram then 1000 ÷ 10 is 100. so every bag weighs 100 grams

The measure of angle ∠SRV in parallelogram RSTU is 78°.

Step 1: Since RSTU is a parallelogram, opposite angles are congruent. Therefore, ∠TUV is congruent to ∠SRV. So, we can say that m∠SRV = 78°.

Step 2: In triangle TVU, the sum of the angles is 180°. Using this fact, we can find the measure of ∠VUT.

∠VUT = 180° - (m∠TUV + m∠TVU)

∠VUT = 180° - (78° + 54°)

∠VUT = 180° - 132°

∠VUT = 48°

Step 3: In triangle VUT, the sum of the angles is 180°. Using this fact, we can find the measure of ∠UTV.

∠UTV = 180° - (m∠VUT + m∠TVU)

∠UTV = 180° - (48° + 54°)

∠UTV = 180° - 102°

∠UTV = 78°

Step 4: Since RSTU is a parallelogram, opposite angles are congruent. Therefore, ∠UTV is congruent to ∠SRV. So, we can say that m∠SRV = 78°.

Step 5: From Steps 1 and 4, we can conclude that ∠SRV measures 78°.

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To find the measure of ∠SRV we use the properties of triangles and parallelograms. After finding the measure of ∠UTV based on the other angles of the triangle, we use the property of parallelograms that opposite angles are equal to find that ∠SRV = 48°

To find the measure of ∠SRV in the given parallelogram RSTU, we will use the properties of triangles and parallelograms. Firstly, with m∠TUV = 78° and m∠TVU = 54°, because they are angles in a triangle, they add up to 180°. So, we can find the measure of the third angle ∠UTV. ∠UTV = 180° - m∠TUV - m∠TVU = 180° - 78° - 54° = 48°.

Secondly, because RSTU is a parallelogram, opposite angles are equal. Therefore, ∠SRV = ∠UTV = 48°

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Answer:

C

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

Answer:

anything divided by 0 is zero or the other way around

Step-by-step explanation:

To the nearest cent, Daffy will have approximately $22,752.02 at the end of the 5-year period.

To calculate the lump sum that Daffy will have at the end of the 5-year period, we can use the formula for compound interest:

A = P(1 + r/n)^(nt)

Where:

A is the final amount or lump sum

P is the principal amount (initial deposit)

r is the annual interest rate (2.2% in decimal form, so 0.022)

n is the number of times interest is compounded per year (monthly compounding, so n = 12)

t is the number of years (5 years)

Let's substitute the values into the formula:

A = $20,000(1 + 0.022/12)^(12*5)

Calculating this expression, we get:

A ≈ $20,000(1.001833)^60

A ≈ $20,000(1.1376)

A ≈ $22,752.02

if Daffy deposits an inheritance of $20,000 in a 5-year certificate of deposit with an annual interest rate of 2.2% compounded monthly, he will have approximately $22,752.02 as a lump sum at the end of the 5-year period.

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The volume of the sphere is approximately 3431.82 cubic miles.

To find the volume of a sphere, we need the radius of the sphere. The length of a great circle is the circumference of the sphere, which is related to the radius by the formula C = 2πr, where C is the circumference and r is the radius.

In this case, we are given that the length of the great circle is 60 miles. We can use this information to find the radius of the sphere.

C = 2πr

60 = 2πr

Divide both sides of the equation by 2π:

r = 60 / (2π)

r = 30 / π

Now that we have the radius, we can use the formula for the volume of a sphere:

V = (4/3)πr³

V = (4/3)π(30/π)³

V = (4/3)π(27000/π³)

V = (4/3)π(27000/π³)

V = (4/3)π(27000/π³)

V = (4/3)(27000/π²)

V = (4/3)(27000/9.87) (approximating π to 3.14)

V ≈ 3431.82 cubic miles

Therefore, the volume of the sphere is approximately 3431.82 cubic miles.

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Question

You are given the great circle of a sphere is a length of 60 miles. What is the volume of the sphere?

The correct answer is A) $507,459.27. Blythe will have approximately $507,459.27 in her account when she is ready to retire.

To calculate the future value of Blythe's IRA, we can use the formula for compound interest:

A = P [tex]\times (1 + r/n)^{(nt)[/tex]

Where:

A is the future value

P is the monthly deposit amount ($650)

r is the annual interest rate (1.75% or 0.0175 as a decimal)

n is the number of times interest is compounded per year (monthly, so 12)

t is the number of years (30)

Substituting the given values into the formula:

A = 650 [tex]\times (1 + 0.0175/12)^{(12\times30)[/tex]

Calculating this expression yields A ≈ $507,459.27.

Therefore, the correct answer is A) $507,459.27. Blythe will have approximately $507,459.27 in her account when she is ready to retire.

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Answer:

or as a function made due to movement of the sun and moon

Answer:

what he said

Step-by-step explanation:

Answer:

2?

Step-by-step explanation:

Answer:

2? honestly this was a year ago and I doubt you care so Im just sayin' what the other guy said XD

GOOD DAY!!

Answer:

This is the answer 2.888888888

Answer:

Lines y and z are Intersecting

Lines y and z are Perpendicular Lines

Answer:

-73.52

Step-by-step explanation:

Answer:

-73.52

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

Answer:

Option "B" and "C" are True

Step-by-step explanation:

Given time:

First 12.89

Second 13.52

Third 14.05

Find:

True statement

Computation:

Difference between first and second = 13.52 - 12.89 = 0.63

Difference between second and third = 14.05 - 13.52 = 0.53 (Second true)

Difference between first and third = 14.05 - 12.89 = 1.16 (Third true)

This is a binomial experiment and you'll use the binomial probability distribution because:

Since all of those conditions above are met, this means we have a binomial experiment.

Some textbooks may split up item #2 into two parts, but I chose to place them together since they are similar ideas.