explain how to write 50,000 using exponents

To find the height of the shuttle, we can use trigonometry and the concept of similar triangles. The height of the shuttle is approximately 468.675 meters.

Let's assume that the height of the shuttle is represented by 'h' meters. From the information given, we know that the distance between the camera and the launch pad is 750 meters, and the angle of elevation from the camera to the shuttle is 32 degrees.

Using trigonometry, we can set up the following equation:

tan(32°) = h / 750

To find the value of h, we can rearrange the equation:

h = tan(32°) * 750

Using a calculator, we can find the value of tan(32°) ≈ 0.6249.

Now we can calculate the height of the shuttle:

h ≈ 0.6249 * 750

h ≈ 468.675 meters

Therefore, the height of the shuttle is approximately 468.675 meters.

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On solving the provided question ,we can say that The statement "The number of new clients (x) is 149% of the number of old clients (y)" can be written mathematically as: x = 1.49y

A sequence is a grouping of "terms," or integers. Term examples are 2, 5, and 8. Some sequences can be extended indefinitely by taking advantage of a specific pattern that they exhibit. Use the sequence 2, 5, 8, and then add 3 to make it longer. Formulas exist that show where to seek for words in a sequence. A sequence (or event) in mathematics is a group of things that are arranged in some way. In that it has components (also known as elements or words), it is similar to a set. The length of the sequence is the set of all, possibly infinite, ordered items. the action of arranging two or more things in a sensible sequence.

The statement "The number of new clients (x) is 149% of the number of old clients (y)" can be written mathematically as:

x = 1.49y

-1.49y + x = 0

-149y + 100x = 0

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The linear equation in the required form is: x - 1.49y = 0

What is linear equation?

A linear equation is a mathematical equation that describes a straight line in a two-dimensional plane. It is an equation of the form:

y = mx + b

Let's start by assigning variables to the given information. We are told that "the number of new clients (x) is 149% of the number of old clients (y)."

Using this information, we can write:

x = 1.49y

To write this equation in the form ax + by = c, we need to move all the variables to one side of the equation and simplify.

Subtracting 1.49y from both sides, we get:

x - 1.49y = 0

So the linear equation in the required form is:

x - 1.49y = 0

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Answer:

a. How many apartment buildings were in the sample?

_________________

b. Write the estimated regression equation (to 2 decimals if necessary).

ŷ = _________________ + _________________   x

c. What is the value of sb1 (to 4 decimals)?

_________________

d. Use the F statistic to test the significance of the relationship at a .05 level of significance.

Compute the F test statistic (to 2 decimals).

_________________

What is the p-value?

p-value is _________________

What is your conclusion?

_________________

e. Predict the selling price of an apartment building with gross annual rents of $50,000 (to 1 decimal).

$ _________________ thousands.

Step-by-step explanation:

a) Total degree of freedom is 8

so number of observation is 8 + 1 = 9

so there are 9 apartment in the sample

b) The estimated regression is

\(\hat y=20+7.21x\)

c) = 1.3626

d)

\(H_0:\beta _1=0\\\\H_1:\beta _1\neq 0\\\\SSE=SST-SSR\\\\=51984.1-41587.3\\\\=10396.8\\\\MSR=\frac{SSR}{\texttt {no of independent variable}} \\\\=\frac{41587.3}{1} =41587.3\\\\MSE=\frac{SSE}{n-2} \\\\=\frac{10396.8}{9-2} \\\\=1485.26\)

The F-statistic to test the hypothesis is

\(F=\frac{MSR}{MSE} \\\\=\frac{41587.3}{1485.26} \\\\=28.0001\)

The F distribution table show that one degree of freedom on the numerator and n -2 = 7 degree of freedom in the denominator

F = 28.001 is greater that 12.25

so the area in the  upper tail of the F - distribution corresponding to the F  statistic F = 36.9968 must be less than 0.01

Thus we conclude that the p-value must be less than 0.01

From excel exact P-value is 0.00113

Because p-value is less than α 0.05 we reject H₀ and conclude that there is a significant relationship between annual gross rents, x and selling price , y of apartment building

e)The estimate of the selling price of an apartment building with gross annual rent of $50,000 is

\(\hat y=20.0+7.21x\\\\=20.0+7.21(50000)\\\\=380500\)

So ,the estimate of the selling price of an apartment building with gross annual rent of $50,000 is $380500

6(2/9)

4(2/3)

18/54

8/12

=18/54

=8/12

u divided all

Let the number should be duvided be X

Given number = 6 2/9

⇛ (6×9+2)/9

⇛ (54+2)/9

⇛ 56/9

On dividing 56/9 by X then the result

= (56/9)/X

= 56/9X

According to the given problem

The result = 4 2/3 = 14/3

⇛ 56/9X = 14/3

⇛ 9X×14 = 56×3

⇛ 9X = 56×3/14

⇛ 9X = 4×3

⇛9X = 12

⇛X = 12/9

=⇛X = 4/3 or 1 1/3

Answer↓

The required number is 4/3 or 1 1/3

Check↓

On dividing 6 2/9 by 1 1/3

⇛ 6 2/9 ÷ 1 1/3

⇛ (56/9)÷(4/3)

⇛ (56/9)×(3/4)

⇛ (56×3)/(9×4)

⇛ 14/3

⇛4 2/3

Verified.

Answer: cos4

Step-by-step explanation: 50 meters

B. 50-√3 meters

C. 100 meters

D. 100-√3 meters

40. What expression is used to answer: "A 4-m tall man stands on horizontal ground 43 m from a tree.

The angle of depression from the top of the tree to his eyes is 22°. Estimate the height of the tree."

A. sin 22

B. cos 22

C. tan 22

D. cot 22

9514 1404 393

Answer:

  A)  3.2

Step-by-step explanation:

In this geometry, all of the right triangles are similar. This means side lengths are proportional:

  short side/hypotenuse = x/8 = 8/20

  x = 8×8/20 = 64/20

  x = 3.2

Answer:

B

Step-by-step explanation:

Y will change depending on what x equals, so y is kind of like the dependent variable that changes to the independent variable. That's proportional because x will always be some part of y.

Answer:

You would find the area if each individual shape inside the shape and then add all the areas together to get your final product

Answer:

I think its 17+3r=v so D?? I'm not entirely sure but I believe that's it lol

Answer:

596.9 cm^2

Step-by-step explanation:

The surface area of a cylinder is \(SA=2\pi rh+2\pi r^2\) where \(r\) is the radius of the base of the cylinder and \(h\) is the height of the cylinder.

So, the surface area of the cylinder is:

\(SA=2\pi rh+2\pi r^2\)

\(SA=2\pi (5)(14)+2\pi (5)^2\)

\(SA=2\pi(70)+2\pi(25)\)

\(SA=2\pi(70+25)\)

\(SA=2\pi(95)\)

\(SA=190\pi\)

\(SA\approx596.9\)

Answer:

49

Step-by-step explanation:

25b² + 70b + ....

( 5b + 7)² = 5×5b² + 2×5×7b + 7×7 = 25b² + 70b + 49

Answer:

C

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

It is bc 3x5=15 and 2x 5=10 so 10/15 + 5x3=15 and 1x3=3 so 10/15 + 3/15= 13/15

\(\\ \tt\bull\rightarrowtail 89.746\)

\(\\ \tt\bull\rightarrowtail 89.75\)

\(\\ \tt\bull\rightarrowtail 89.7\)

\(\\ \tt\bull\rightarrowtail 90.0\)

#d

\(\\ \tt\bull\rightarrowtail 88.888\)

\(\\ \tt\bull\rightarrowtail 88.89\)

\(\\ \tt\bull\rightarrowtail 88.9\)

\(\\ \tt\bull\rightarrowtail 89\)

#e

\(\\ \tt\bull\rightarrowtail 49.226\)

\(\\ \tt\bull\rightarrowtail 49.23\)

\(\\ \tt\bull\rightarrowtail 49\)

Expressions 1 and 3 show breaking the addends 7 5/12 and 11 2/3 apart to make a whole.

What is fraction ?

A fraction is a mathematical concept used to represent a part of a whole or a ratio between two numbers. It consists of two numbers separated by a horizontal line, with the number on the top called the numerator, and the number on the bottom called the denominator. The numerator represents the number of equal parts being considered, while the denominator represents the total number of parts in the whole. Fractions can be expressed as either proper fractions (where the numerator is less than the denominator), improper fractions (where the numerator is greater than or equal to the denominator), or mixed numbers (a whole number and a proper fraction). Fractions are an essential concept in many areas of math, including arithmetic, algebra, geometry, and calculus.

o break the addends 7 5/12 and 11 2/3 apart to make a whole, we need to subtract the smaller fraction from the larger fraction to get an equivalent fraction with a common denominator. Then we can add the whole numbers and the equivalent fractions to get the whole.

So, the expressions that show breaking the addends 7 5/12 and 11 2/3 apart to make a whole are:

$11 \frac{2}{3} - 7 \frac{5}{12} = 4 \frac{7}{12}$

$7 \frac{5}{12} + 4 \frac{7}{12} = 12$

$11 \frac{2}{3} - 4 \frac{7}{12} = 7 \frac{5}{12}$

$7 \frac{5}{12} + 11 \frac{2}{3} = 19 \frac{1}{12}$

So, the expressions 1 and 3 show breaking the addends 7 5/12 and 11 2/3 apart to make a whole.

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Answer:

He has had a quarter of the red one

Step-by-step explanation:

3/12 is 1/4 when simplified

Step-by-step explanation:

remember the GCF (greatest common factor) ?

every number or term is the product of certain prime numbers (prime factors).

the product of factors that the discussed numbers or terms have in common is the GCF.

1)

12x³ + 8x

12x³ :

12 / 2 = 6

6 / 2 = 3

3 / 2 no

3 / 3 = 1 finished

12 = 2×2×3

x³ = x×x×x

so,

12x³ = 2×2×3×x×x×x

8x :

8 / 2 = 4

4 / 2 = 2

2 / 2 = 1 finished

8 = 2×2×2

x = x

so,

8x = 2×2×2×x

what factors do they have in common ?

2×2×x = 4x

so, the GCF = 4x

that means

12x³ + 8x = 4x×3x² + 4x×2 = 4x(3x² + 2)

2)

18a² + 2a

18a² :

18 / 2 = 9

9 / 2 no

9 / 3 = 3

3 / 3 = 1 finished

18a² = 2×3×3×a×a

2a :

2 / 2 = 1 finished

2a = 2×a

so, they have 2×a = 2a in common.

the GCF = 2a.

that means

18a² + 2a = 2a×9a + 2a×1 = 2a(9a + 1)

3)

25b⁴ + 30b³

25b⁴ :

25 / 2 no

25 / 3 no

25 / 5 = 5

5 / 5 = 1 finished

25b⁴ = 5×5×b×b×b×b

30b³ :

30 / 2 = 15

15 / 2 no

15 / 3 = 5

5 / 3 no

5 / 5 = 1 finished

30b³ = 2×3×5×b×b×b

so, they have 5×b×b×b = 5b³ in common.

the GCF = 5b³

that means

25b⁴ + 30b³ = 5b³×5b + 5b³×6 = 5b³(5b + 6)

Answer:

2/3, 5/6, 1/2, 1/6, 1/2

Step-by-step explanation:

One afternoon, they each had 2 large  chocolate bars.

Amy 8/6  of her chocolate bar = (2 - 8/6) = 2/3

Bill 1 1/6 of his chocolate bars = (2 - 11/6 = 2 - 7/6 = 5/6)

Katie 9/6 of her chocolate bars  = (2-9/6) = 1/2

Gretchen 1 5/6 of her chocolate bars  = (2- 1 5/6) = 2 - 11/6 = 1/6

Dylan 1 3/6 of his chocolate bars = 2 - 1 3/6 = 2-9/6 = 1/2

Answer:

correct good job!!!

Step-by-step explanation:

9514 1404 393

Answer:

Step-by-step explanation:

Let x represent the amount borrowed at 15%. Then the amount borrowed at 10% is (13000-x). The interest at the end of the year is ...

  0.15(x) + 0.10(13000 -x) = 1750

  0.05x = 1750 -1300 . . . . . . . . . . . . simplify, subtract 1300

  x = 450(20) = 9000 . . . . . . . . . . multiply by 20

$9,000 was borrowed at 15%; $4,000 was borrowed at 10%.

Answer:

hello your question is incomplete attached is the complete question

answer : 25/2 ( A )

Step-by-step explanation:

using Stokes' Theorem to calculate

F = 5yi + 7xj  + \(z^3 k\)

line y = 5 - 2x

attached below is the remaining part of the solution to the question

Answer:

Step-by-step explanation:

Given points:

Let the coordinates of B are (x, y)

Use midpoint formula to determine the point B:

Answer:

B. 300

Step-by-step explanation:

Let's take the entire number as 'x'

according to the question,

x * 64% = 193

x * 64/100 = 193

x * 64 = 193 * 100

x = 19300/ 64

x = 301.5

round down to 300

Answer:

73 Papers

Step-by-step explanation:

Let's start by finding out how many papers Mrs. Thiel has already graded.

56 + 49 = 105

Now, let's subtract how many papers she has already graded from how many she has to grade in total.

178 - 105 = 73

So, Mrs. Thiel has to grade 73 papers this evening.

Answer:

Throughout the clarification category elsewhere here, the definition of the concern is mentioned.

Step-by-step explanation:

There seems to be no option for consuming peanut butter oatmeal mixture including apple slices with Meadow voles as well as regular voles.  

Meadow voles tend to consume a combination of peanut butter oatmeal whereas different or specific votes prefer eating slices of apples.

a)  If I randomly catch any one fish from this tank, the probability of catching a medium-sized fish from the tank is 0.3182.
b) the probability of catching a medium-sized guppy from the tank is 0.1391.

c) the probability of catching a guppy if we randomly select a medium-sized fish from the tank is 0.4375.

d) the probability of catching a medium-sized guppy if we randomly select a guppy from the tank is 0.3206.

e)  the probability of catching a fish that is not a goldfish if we randomly select a fish from the tank is 0.6291.
f) 0.1384 is not equal to 0.1391, which indicates that the two events are not independent

Probability is a measure of the likelihood or chance of an event occurring, expressed as a number between 0 and 1, with 0 indicating impossibility and 1 indicating certainty.

The explanation to the above probability answer are given below:

a)

From the contingency table, we can see that the total number of medium-sized fish is 96. The total number of fish in the tank is 302. Therefore, the probability of catching a medium-sized fish is:

Probability of catching a medium-sized fish = Total number of medium-sized fish / Total number of fish

Probability of catching a medium-sized fish = 96 / 302

Probability of catching a medium-sized fish = 0.3182

Therefore, the probability of catching a medium-sized fish from the tank is 0.3182

b)
From the contingency table, we can see that the total number of medium-sized guppies is 42. The total number of fish in the tank is 302. Therefore, the probability of catching a medium-sized guppy is:

Probability of catching a medium-sized guppy = Total number of medium-sized guppies / Total number of fish

Probability of catching a medium-sized guppy = 42 / 302

Probability of catching a medium-sized guppy = 0.1391

Therefore, the probability of catching a medium-sized guppy from the tank is 0.1391.

c)

From the contingency table, we can see that the number of medium-sized guppies is 42, and the number of medium-sized fish is 96. Therefore, the probability of catching a guppy if we randomly select a medium-sized fish is:

Probability of catching a guppy given a medium-sized fish = Number of medium-sized guppies / Total number of medium-sized fish

Probability of catching a guppy given a medium-sized fish = 42 / 96

Probability of catching a guppy given a medium-sized fish = 0.4375

Therefore, the probability of catching a guppy if we randomly select a medium-sized fish from the tank is 0.4375.

d)
To calculate the probability of catching a medium-sized guppy if we randomly select a guppy from the tank, we need to find the number of medium-sized guppies in the tank and divide it by the total number of guppies in the tank.

From the contingency table, we can see that the number of medium-sized guppies is 42, and the total number of guppies is 131. Therefore, the probability of catching a medium-sized guppy if we randomly select a guppy from the tank is:

Probability of catching a medium-sized guppy given a guppy = Number of medium-sized guppies / Total number of guppies

Probability of catching a medium-sized guppy given a guppy = 42 / 131

Probability of catching a medium-sized guppy given a guppy = 0.3206

Therefore, the probability of catching a medium-sized guppy if we randomly select a guppy from the tank is 0.3206.


e)

From the contingency table, we can see that the total number of non-goldfish is 190 (45 medium goldfish + 70 small guppy + 42 medium guppy + 9 medium gourami + 10 large gourami + 14 small gourami). The total number of fish in the tank is 302. Therefore, the probability of catching a fish that is not a goldfish is:

Probability of catching a fish that is not a goldfish = Total number of non-goldfish / Total number of fish

Probability of catching a fish that is not a goldfish = 190 / 302

Probability of catching a fish that is not a goldfish = 0.6291

Therefore, the probability of catching a fish that is not a goldfish if we randomly select a fish from the tank is 0.6291.

f)

From the contingency table, we can see that the probability of randomly catching a guppy is 131/302, which is approximately 0.4344. Similarly, the probability of randomly catching a medium-sized fish is 96/302, which is approximately 0.3182.

Now, let's consider the joint probability of randomly catching a medium-sized guppy, which we calculated earlier to be 42/302, or approximately 0.1391. To determine if the events are independent, we need to compare the product of the probabilities of the individual events (catching a guppy and catching a medium-sized fish) to the joint probability of the events occurring together.

If the events are independent, then the product of their individual probabilities should be equal to the joint probability:

P(catching a guppy) x P(catching a medium-sized fish)
= P(catching a medium-sized guppy)

0.4344 x 0.3182 = 0.1391

0.1384 is not equal to 0.1391, which indicates that the two events are not independent.

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There are 3150 distinct ways to arrange the marbles in a row.

What is Combination ?

In mathematics, combination is a way of selecting a group of objects from a larger set, without regard to the order in which the objects are selected. Combinations are also sometimes called "unordered selections" or "combinatorial subsets".

To solve this problem, we can use the formula for permutations with repetition. We have a total of 10 marbles, but some of them are repeated. Specifically, we have:

3 yellow marbles (repeated)

3 green marbles (repeated)

2 red marbles (repeated)

2 blue marbles (repeated)

So the number of distinct ways to arrange these marbles in a row is:

(10!) ÷ (3! x 3! x 2! x 2!)

The factorials in the denominator account for the repetition of each color. We divide by them to eliminate the overcounting that would occur if all the marbles were unique.

Simplifying this expression, we get:

(10 x 9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1)÷(3 x 2 x 1 x 3 x 2 x 1 x 2 x 1 x 1 x 1)

which equals:

(10 x 9 x 8 x 7 x 6 x 5 x 4) ÷ (3 x 3 x 2 x 2)

Simplifying further, we get:

(10 x 3 x 3 x 3 x 2 x 2 x 7 x 5) ÷ (3 x 3 x 2 x 2)

which equals:

(10 x 3 x 3 x 7 x 5)

which finally equals:

3150

Therefore, there are 3150 distinct ways to arrange the marbles in a row.

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Answer:

its A and D dont listen to the other person lol

W

Answer: 803.84cm3

Step-by-step explanation:
The formula for finding the volume of a cylinder is πr2h.
In other words, the area of the top face's circle times the height.

To find the circle's area, we first find the radius of the circle. Since the diameter is 8cm, we divide by 2 to get the radius, which is 4cm.

4cm squared is 4cm x 4cm, which is 16cm. 16cm times 3.14 is 50.24cm squared.

Now, we have the area of the circle. 50.24cm squared!

The height is 16cm, so to find the cylinder, we times the area of the circle by the height of the cylinder! So,

16cm x 50.24cm squared = 803.84cm cubed.

The volume of the can of soup is 803.84cm cubed.

A fraction of the students who have brown hair is equal to 1/7.

You should shade only one (1) section on the pie chart to show the number of students with brown hair.

In Mathematics, a pie chart can be defined as a type of graph that is used for the graphical representation of the proportion relationship between each part or unit to a whole, especially by dividing a circle into various sectors or sections.

Based on the information provided in the table (see attachment), we can logically deduce the following parameters about the various hair color;

Number of brown hair = 1 brown hair.

Number of blonde hair = 4 blonde hair.

Number of black hair = 2 black hair.

Therefore, the total number of hairs is equal to 7 hairs.

For the fraction of students with brown hair, we have;

Fraction = 1/7.

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Answer:

what are the rods? Are they the same ones as used in the diagram

Step-by-step explanation: