The hypotenuse of a right triangle measures 4 cm and one of its legs measures 3 cm. Find the measure of the other leg. If necessary, round to the nearest tenth.

[tex]\text{Let}~ f(x) = x^3-kx^2 +kx +2.\\\\\text{If}~ x-2~ \text{is a factor of}~ f(x)~ \text{then,}\\ \\f(2) =0\\\\\implies 2^3-k\cdot 2^2 +2k+2 =0\\\\\implies -4k+2k+8+2=0\\\\\implies 10-2k=0\\\\\implies 2k =10\\\\\implies k= \dfrac{10}2 = 5\\\\\\\text{Hence, the value of k is 5.}[/tex]

Answer:

V≥10

Step-by-step explanation:

V−6≥4

Add 6 to both sides.

V≥4+6

Add 4 and 6 to get 10.

V≥10

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~Hoped this helped :)

Answer:

They both have H hoel

Step-by-step explanation:

\

Using the normal distribution and the central limit theorem, it is found that there is a 0.5934 = 59.34% probability that there is an error of at most $1000.

In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

Researching the problem on the internet, it is found that the population has mean and standard deviation given, respectively, by [tex]\mu = 57300, \sigma = 9600[/tex].

For samples of 64, the standard error is given by:

[tex]s = \frac{9600}{\sqrt{64}} = 1200[/tex]

The probability of an error of at most $1000 is the probability of a sample mean between $56,300 and $58,300, which is the p-value of Z when X = 58300 subtracted by the p-value of Z when X = 56300, hence:

X = 58300:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem:

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{58300 - 57300}{1200}[/tex]

Z = 0.83

Z = 0.83 has a p-value of 0.7967.

X = 56300:

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{56300 - 57300}{1200}[/tex]

Z = -0.83

Z = -0.83 has a p-value of 0.2033.

0.7967 - 0.2033 = 0.5934.

0.5934 = 59.34% probability that there is an error of at most $1000.

To learn more about the normal distribution and the central limit theorem, you can check https://brainly.com/question/24663213

Answer:

-25.4°F

Step-by-step explanation:

-14.1  + 17.8 = 3.7

3.7 - 16.8 = -13.1

13.1 - 12.3 = -25.4

The selling price to earn $10 per Bible if 5,000 Bibles are printed when the fixed costs per print is $15,000 and variable costs are $25 per Bible, is $38.

The target profit is the profit that is expected by a manufacturer from the sale of its product.

The target profit can be established and used to determine the selling price.

When the target profit is added to the fixed cost per unit and the variable cost per unit, the resultant figure is the selling price.

Fixed costs per print = $15,000

Number of Bibles per print = 5,000

Fixed costs per Bible = $3 ($15,000/5,000)

Variable costs per Bible = $25

Expected profit per Bible = $10

The selling price = $38

Thus, the selling price to earn $10 per Bible if 5,000 Bibles are printed when the fixed costs per print is $15,000 and variable costs are $25 per Bible, is $38.

Learn more about determining the selling price at https://brainly.com/question/1153322

Answer:

C is the correct answer.

Step-by-step explanation:

You're trying to find a true statement about the point (1,7)

A. To plot the ordered pair (1 , 7), travel seven units to the right on the x-axis and one unit up on the y-axis, from the origin.

B. To plot the ordered pair (1 , 7), travel one unit to the right on the y-axis and seven units up on the x-axis, from the origin.

C. To plot the ordered pair (1 , 7), travel one unit to the right on the x-axis and seven units up on the y-axis, from the origin.

D. To plot the ordered pair (1 , 7), travel seven unit to the right on the y-axis and one units up on the x-axis, from the origin.

_____________________________________________________
Solving:

A is incorrect because it shows the point (7,1).

D is incorrect because that isn't the proper way to graph a coordinate.

B is incorrect because it says travel one unit to the right on the y axis which is the incorrect axis to graph the point (1,7).

C is your correct answer because you need to move 1 unit to the right on the x-axis to get to the coordinate (1,0). Then, you need to go 7 units up on the y-axis to reach (1,7).

Answer:

1320

Step-by-step explanation:

The sample ad 600 chips. They wanted to test 36000 chips. 600*60=36000

If 22 out of 600 chips were defective, and 600*60=36000

Then 1320 chips were defective out of the 36000 because 22*60=1320.

Answer:

$6.25 for each CD

Step-by-step explanation:

6.25 x 400 = 2,500

2,500 - 2,000 = 500

there is a 500 profit

Using the given function, it is found that the snowball traveled 4 feet when the height is 20 feet.

The height when x feet are traveled is given by:

h(x) = -0.5x² + 6x + 4.

When the height is of 20 meters, we have that h(x) = 20, hence:

20 = -0.5x² + 6x + 4.

0.5x² - 6x + 16 = 0

x² - 12x + 32 = 0

(x - 8)(x - 4) = 0

For the first time: x - 4 = 0 -> x = 4.

The snowball traveled 4 feet when the height is 20 feet.

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Answer:

I think it is B (16)

Step-by-step explanation:

Answer:

1) There are 15 in it, which means we need to find the 8th. The 8th is 6, which means the median is 6. We then need to find the other quartiles.

8/2=4, which means we need to look at the 4th,5th and 12th,13th.

The first one is FIVE, and the second is SEVEN. Therefore, the FIRST ONE.

2)113

3)37

Answer:

Solution : A number is divisible by 11, if the difference of sum of its digits in odd places from the right side and the sum of its digits in even places from the right side is divisible by 11. Since difference is 11 which is divisible by 11, therefore 5918 is divisible by 11.

Step-by-step explanation:

Solution : A number is divisible by 11, if the difference of sum of its digits in odd places from the right side and the sum of its digits in even places from the right side is divisible by 11. Since difference is 11 which is divisible by 11, therefore 5918 is divisible by 11.

Answer:

just awnsering for the points sorry man

Step-by-step explanation:

Answer:

1 over 20

Step-by-step explanation:

Given that:

a spinner and 4 cards

A Spinner ⇒ 5 equal sectors;Color: Blue,Purple,Yellow,Red,Green

Arrow point at purple

Four cards ⇒ Color : Red,Yellow,Blue,Pink

Jane spins the spinner & selects card without looking.

To Find - Probability spinner stops at purple & select pink card.

Solve:

Multiply 4 (the number of cards) with 5 (The number of equal sectors)

[tex]\frac{1}{5}\times\frac{1}{4}=\frac{1}{20}[/tex]          {1 × 1 = 1}    {5×4=20}

~lenvy~

Answer:

1 over 20

Step-by-step explanation:

Given the following:

1 spinner and 4 cards

A Spinner which has 5 equal sectors;Color: Green, Blue,Purple,Yellow,Red.

{Arrow point at purple}

Four cards ⇒ which color are Red,Yellow,Blue,Pink

Jane spins the spinner & selects card without looking.

To Find →  Probability spinner stops at purple & select pink card.

Since, purple and pink only has one in each of Spinner/card

Thus,

Spinner (5 equal sectors - 1/5}

Card {4 cards - 1/4}

1/4 × 1/5 = 1/20

Hence, probability spinner stops at purple & select pink card is [A] 1/20

[RevyBreeze]

The easiest way to convert a fraction to a decimal is to divide the numerator (the top of the fraction) by the denominator (the bottom of the fraction)

3/12=0.25

Answer: (-1,-6)

Step-by-step explanation:

x^2+6x+3

g(x) = f(x-2)

replace all value of x in the f(x) function to (x-2)

(x-2)^2 + 6(x-2) + 34

(x-2)(x-2) + 6(x-2) + 34

expand through FOIL and distribution

x^2-4x+4+6x-12+3

combine like terms

x^2+2x-5

-b/2a = x value of vertex

-2/2(1) = x value

x value = -1

plug in -1 for all values of x in the g(x) equation to solve for y value

(-1)^2+2(-1)-5

1-2-5 = -6

y = -6

x = -1

(x,y) = (-1,-6)

The vertex of the considered function g(x) = f(x − 2) is given by: Option c: (-1,-6)

If a quadratic equation is written in the form

[tex]y=a(x-h)^2 + k[/tex]

then it is called to be in vertex form. It is called so because when you plot this equation's graph, you will see vertex point(peak point) is on (h,k)

This point (h,k) is called the vertex of the parabola that quadratic equation represents.

We first take out coefficient of x squared, and then inside the bracket, we try to make perfect square like situation.

So, we're given that:

Thus, we get:

[tex]g(x) = f(x-2) \\g(x) = (x-2)^2 + 6(x-2) + 3 \\g(x) = x^2 -4x + 4 + 6x - 12+3\\ g(x) = x^2 + 2x -5[/tex]

Converting g(x) to vertex form:

[tex]g(x) = x^2 + 2x - 5\\g(x) = x^2 + 2x + 1 - 1 -5\\g(x) = (x+1)^2 -9\\g(x) = (x - (-1) )^2 -6\\g(x) = (x-(-1))^2 + (-6)[/tex]

Comparing this with [tex]a(x-h)^2 + k[/tex], we get (h,k) = (-1,-6) as the coordinate of the vertex of the graph of g(x), as shown below.

Thus, the vertex of the considered function g(x) = f(x − 2) is given by: Option c: (-1,-6)

Learn more about vertex form of a quadratic equation here:

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Answer:

[tex]\frac{198}{7} \ \text{feet}^{2}[/tex]

Given:

To find the area of the rug, we need to use the formula "πr² or π(D/2)²"

Where:

Since we do not have the radius, we need to substitute the diameter in the formula "π(D/2)²" to determine the area of the rug.

⇒ [tex]\pi (\frac{D}{2} )^{2}[/tex]

⇒ [tex]\pi (\frac{6}{2} )^{2}[/tex]

⇒ [tex]\pi (3 )^{2}[/tex]

⇒ [tex]\pi (3 )(3)[/tex]

⇒ [tex]9\pi[/tex]

Substituting "22/7" as π:

⇒ [tex]9(\frac{22}{7} )[/tex]

⇒ [tex](\frac{198}{7} )[/tex]

When finding the area of ANY shape, do not forget to include the units.

⇒ [tex]\frac{198}{7} \ \text{feet}^{2}[/tex]

Answer:

28.26 ft²

Step-by-step explanation:

Formula:

[tex]\text{Area of circular rug:} = \pi r^{2}[/tex]

Determining the radius of the circular rug:

To determine the radius, we need to divide the diameter by 2.

Given diameter: 6 feet

[tex]\implies {\dfrac{\text{Diameter}}{2} = \text{Radius}[/tex]

[tex]\implies {\dfrac{\text{6}}{2} = \text{Radius}[/tex]

[tex]\implies 3\ \text{feet} = \text{Radius}[/tex]

Replacing the radius in the formula:

[tex]\implies \text{Area of circular rug:} = \pi (3)^{2}[/tex]

Determining the area of the circular rug:

[tex]\implies \text{Area of circular rug:} = \pi (3)^{2}[/tex]

[tex]\implies \text{Area of circular rug:} = 9\pi[/tex]

Replacing π as 3.14 (Approx. measure of π):

[tex]\implies \text{Area of circular rug:} = 9(3.14)[/tex]

[tex]\implies \text{Area of circular rug:} = 28.26 \ \text{ft}^{2}[/tex]

Answer:

(10 , 3)

Step-by-step explanation:

When you reflect over the y-axis, you are flipping the sign of the x-coordinate.

Likewise, when you reflect over the x-axis, you are flipping the sign of the y-coordinate.

In this case, you are reflecting over the y-axis, and the pair given to you is (-10, 3). When you reflect over the y-axis, you must flip the sign of the x-coordinate.

(-10 , 3) reflected over the y-axis is (10 , 3).

~

We can find the bat's wholesale cost by working backwards -

Do $41 - 9 to get $32, then we can divide the 32 by the 4 to get $8.

Therefore, the wholesale cost of the bat is $8.

Happy to help!

Answer:

The bat's wholesale cost is $8

Step-by-step explanation:

You first have to subtract 9 from 41 as that will be 4 times the wholesale cost, which is $32. Then you have to divide 32 by 4, as we want to get the wholesale cost, not 4 times of the wholesale cost, and this would give us the wholesale cost, which is $8.

Semi perimeter:-

[tex]\\ \rm\rightarrowtail s=\dfrac{a+b+c}{2}[/tex]

[tex]\\ \rm\rightarrowtail s=\dfrac{1.8+2.4+3}{2}[/tex]

[tex]\\ \rm\rightarrowtail s=\dfrac{7.2}{2}=3.6cm[/tex]

Apply heron s formula

Area:-

[tex]\\ \rm\rightarrowtail \sqrt{s(s-a)(s-b)(s-c)}[/tex]

[tex]\\ \rm\rightarrowtail \sqrt{3.6(3.6-1.8)(3.6-3)(3.6-2.4)}[/tex]

[tex]\\ \rm\rightarrowtail \sqrt{3.6(1.8)(0.6)(1.2)}[/tex]

[tex]\\ \rm\rightarrowtail \sqrt{4.6656}[/tex]

[tex]\\ \rm\rightarrowtail 2.16cm^2[/tex]

Answer:

[tex]\sf Area \ of \ a \ Triangle=\dfrac12bh[/tex]

(where b is the base of the triangle and h is the height)

Given:

Substitute the given values into the formula:

[tex]\sf \implies Area=\dfrac12 \cdot 2.4 \cdot 1.8[/tex]

               [tex]\sf =2.16 \ cm^2[/tex]

Answer:

520,000

Step-by-step explanation:

1400 x 200 = 280000

(400 + 800) x 400 /2 = 240000

240000 + 280000 = 520000

The area of the playground is 520000 square feet.

The area is the amount of area occupied by an object's flat (2-D) surface or shape.

Given that the edges of the playground meet at right angles, except for the edge whose length is not given.

And to find the area of the composite figure,

find all the areas separately.

There is a square with a side length of 400 feet.

A rectangle with dimensions 200 feet by 600 feet.

Another rectangle with dimensions 1400- 600 = 800 feet by 200 feet.

And a triangle with a base of 400 feet and a height of 400 feet.

The area of the playground = (400 x 400) + (200 x 600) + (800 x 200) + (1/2 x 400 x 400)

The area of the playground = 160000 + 280000 + 80000

The area of the playground is 520000 square feet.

Therefore, the area is 520000 square feet.

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#SPJ7

D) Line JK

<----->

JK

Hope it helps :)

Answer:

C. 2027.4 m^3

Step-by-step explanation:

volume = (1/3) · π · r^2 · h

volume = (1/3) · π · 8.8^2 * 25

volume = (1/3) · π · 1936

volume = (1/3) · 1936π

volume = 2027.4 m^3

The lender’s good faith estimate is that he made a poor estimate; it was off by more than 0.5% of the actual closing costs.

All the expenduture and charges charged by a lander and other parties is called the closing cost.

A lender estimates the closing costs on a home loan will be 3.75% of the loan amount of $120,000.  Thus, the estimate closing cost is,

[tex]C_{ec}=\dfrac{3.75}{100}\times120000\\C_{ec}=4500[/tex]

The actual closing costs are listed below.  

The total annual cost is,

[tex]C= $300 +$600 +$1,250 +$550 +$525 +$125 +$2,000\\C=4800[/tex]

Total annual cost is $300 more than the estimate closing cost. In the percentage form,

[tex]p=\dfrac{4800-4500}{4500}\times100\\p=6.66\%[/tex]

Thus, the lender’s good faith estimate is that he made a poor estimate; it was off by more than 0.5% of the actual closing costs.

Learn more about the closing cost here;

https://brainly.com/question/20108287

Answer:

Its D trust me

I got it right from the other person

Answer:

B

Step-by-step explanation:

20 × 2/5 = 8

15 × 2/5 = 6

5 × 2/5 = 2

p/s : the pic is for question no 7. i thought that you want the number 7 so i solved it first. then i reread your question. then i realized u actually want number six. so...

yeah, your welcome :)

Answer:

I belive that will be a trapazoid

Step-by-step explanation:

Both sides on the top and bottom are parallel
Please tell me if im wrong!

Answer:

Trapezium

Step-by-step explanation:

It has exactly one pair of parallel sides

Answer:

the results are

a. 1,080-inch

b.  90 feet

Step-by-step explanation:

there are 4 steps to get to your resluts

Answer:

Step-by-step explanation:

answers:      x = 7

    x = -6

let me know if you need anymore help.

mark me brainliest please.