pqrs is a rhombus. If PO= 4 cm and OQ=3cm,then find PQ.​(please answer fast)

Answer:

  see the attachment for a graph

Step-by-step explanation:

The vertex of f(x) is (0, 0). The transformation g(x) = f(x -h) +k moves the vertex to (h, k). That is, the graph is translated right by h units, and up by k units.

Your transformation has h = -2, and k = -4. That is, the original graph is translated left 2 units and down 4 units. The result is the blue curve in the attachment.

Answer:

A. Using a 90% confidence level (instead of 95%)

D. Using a sample size of 90 employees (instead of 60)

Step-by-step explanation:

The margin of error of a confidence interval is given by:

[tex]M = z*\frac{\sigma}{\sqrt{n}}[/tex]

In which z is related to the confidence level, [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.

The higher the margin of error, the less precise the confidence interval is.

We have:

A 95% confidence interval, with a sample of 60.

We want to make it more precise:

Two options, decrease z(decrease the confidence level), or increase n(increase the sample size).

So the correct options are:

A. Using a 90% confidence level (instead of 95%)

D. Using a sample size of 90 employees (instead of 60)

Answer:

d on edge

Step-by-step explanation:

-3(x+4)(x-2)/x^2-1`

The equation of the rational function is: [tex]f(x) = \frac{-3(x + 4)(x -2)}{x^2-1}[/tex]

The x-intercepts of the rational function are given as: -4 and 2.

This means that, the zeroes of the function are (x + 4) and (x -2)

Multiply the zeroes of the function

[tex]f(x) = (x + 4)(x -2)[/tex]

The vertical asymptotes of the rational function are given as: 1 and -1.

This means that, the denominator is the product of (x + 1) and (x -1)

So, we have:

[tex]f(x) = \frac{(x + 4)(x -2)}{(x + 1)(x-1)}[/tex]

Express the denominator as the difference of two squares

[tex]f(x) = \frac{(x + 4)(x -2)}{x^2-1}[/tex]

Lastly, the horizontal asymptote is given as y = -3.

So, the actual function is:

[tex]f(x) = y \times \frac{(x + 4)(x -2)}{x^2-1}[/tex]

Substitute -3 for x

[tex]f(x) = -3 \times \frac{(x + 4)(x -2)}{x^2-1}[/tex]

This gives

[tex]f(x) = \frac{-3(x + 4)(x -2)}{x^2-1}[/tex]

Hence, the equation of the rational function is: [tex]f(x) = \frac{-3(x + 4)(x -2)}{x^2-1}[/tex]

Read more about rational functions at:

https://brainly.com/question/1851758

Answer:

Solution,

[tex]h(x) = f(x) + g(x) \\ \: \: \: \: \: \: \: = 2x - 1 + 7x - 12 \\ \: \: \: \: \: \: = 2x + 7x - 1 - 12 \\ \: \: \: \: \: \: = 9x - 13[/tex]

hope this helps...

Good luck on your assignment..

Answer:

h(x)=9x-13

Step-by-step explanation:

We want to find out what h(x) is. We know what h(x) is equal to, which is

h(x)= f(x)+g(x)

We know that f(x)=2x-1 and g(x)=7x-12. Substitute the expressions in.

h(x)= (2x-1)+(7x-12)

Simplify by combining like terms. Add all the terms with a variable (x), then all the terms without a variable, or constants.

h(x)=(2x+7x)+(-1+-12)

Add 2x and 7x.

h(x)=(2+7)(x)+(-1+-12)  

h(x)= 9x+(-1+-12)

Add -1 and -12.

h(x)= 9x+(-13)

h(x)=9x-13

Answer:

$394,772.11

Step-by-step explanation:

This requires using compound interest as follows:

Principal = $5,000

Time = 25 years

Interest rate per annum = 8%

1st year: principal = 5000

Interest capitalized (5000*0.08) = 400

Amount (5000 + 400) = $5400

2nd year: principal = 5400 + 5000 = 10,400

Interest capitalized (10,400*0.08) = 832

Amount (10,400 + 832) = $11,232

3rd year: principal = 11,232+5000 = $16,232

Interest capitalized (16,232*0.08) = 1,298.56

Amount (16,232+1,298.56) = $17,530.56

4th year: principal = 17,530.56+5000 = $22,530.56

Interest capitalized (22,530.56*0.08) = 1,802.45

Amount (22,530.56+1,802.45) = $24,333.01

5th year: principal = 24,333.01+5000 = $29,333.01

Interest capitalized (29,333.01 * 0.08) = 2,346.64

Amount (29,333.01 + 2,346.64) = $31,679.65

6th year: principal = 31,679.65 + 5000 = $36,679.65

Interest capitalized (36,679.65 * 0.08) = 2,934.37

Amount (36,679.65 + 2,934.37) = $39,614.02

7th year: principal = 39,614.02 + 5000 = $44,614.02

Interest capitalized (44,614.02 * 0.08) = 3,569.12

Amount (44,614.02 + 3,569.12) = $48,183.14

8th year: principal = 48,183.14 + 5000 = $53,183.14

Interest capitalized (53,183.14 * 0.08) = 4,254.65

Amount (53,183.14 + 4,254.65) = $57,437.79

9th year: principal = 57,437.79 + 5000 = $62,437.79

Interest capitalized (62,437.79 * 0.08) = 4,995.02

Amount (62,437.79 + 4,995.02) = $67,432.81

10th year: principal = 67,432.81 + 5000 = $72,432.81

Interest capitalized (72,432.81 * 0.08) = 5,794.63

Amount (72,432.81 + 5,794.63) = $78,227.44

11th year: principal = 78,227.44 + 5000 = $83,227.44

Interest capitalized (83,227.44 * 0.08) = 6,658.20

Amount (83,227.44 + 6,658.20) = $89,885.64

12th year: principal = 89,885.64 + 5000 = $94,885.64

Interest capitalized (94,885.64 * 0.08) = 7,590.85

Amount (94,885.64 + 7,590.85) = $102,476.49

13th year: principal = 102,476.49 + 5000 = $107,476.49

Interest capitalized (107,476.49 * 0.08) = 8,598.12

Amount (107,476.49 + 8,598.12) = $116,074.61

14th year: principal = 116,074.61 + 5000 = $121,074.61

Interest capitalized (121,074.61 * 0.08) = 9,685.97

Amount (121,074.61 + 9,685.97) = $130,760.58

15th year: principal = 130,760.58 + 5000 = $135,760.58

Interest capitalized (135,760.58 * 0.08) = 10,860.85

Amount (135,760.58 + 10,860.85) = $146,621.43

16th year: principal = 146,621.43 + 5000 = $151,621.43

Interest capitalized (151,621.43 * 0.08) = 12,129.71

Amount (151,621.43 + 12,129.71) = $163,751.14

17th year: principal = 163,751.14 + 5000 = $168,751.14

Interest capitalized (168,751.14 * 0.08) = 13,500.09

Amount (168,751.14 + 13,500.09) = $182,251.23

18th year: principal = 182,251.23 + 5000 = $187,251.23

Interest capitalized (187,251.23 * 0.08) = 14,980.10

Amount (187,251.23 + 14,980.10) = $202,231.33

19th year: principal = 202,231.33 + 5000 = $207,231.33

Interest capitalized (207,231.33 * 0.08) = 16,578.51

Amount (207,231.33 + 16,578.51) = $223,809.84

20th year: principal = 223,809.84 + 5000 = $228,809.84

Interest capitalized (228,809.84 * 0.08) = 18,304.79

Amount (228,809.84 + 18,304.79) = $247,114.63

21st year: principal = 247,114.63 + 5000 = $252,114.63

Interest capitalized (252,114.63 * 0.08) = 20,169.17

Amount (252,114.63 + 20,169.17) = $272,283.8

22nd year: principal = 272,283.8 + 5000 = $277,283.8

Interest capitalized (277,283.8 * 0.08) = 22,182.70

Amount (277,283.8 + 22,182.70) = $299,466.5

23rd year: principal = 299,466.5 + 5000 = $304,466.5

Interest capitalized (304,466.5 * 0.08) = 24,357.32

Amount (304,466.5 + 24,357.32) = $328,823.82

24th year: principal = 328,823.82 + 5000 = $333,823.82

Interest capitalized (333,823.82 * 0.08) = 26,705.91

Amount (333,823.82 + 26,705.91) = $360,529.73

25th year: principal = 360,529.73 + 5000 = $365,529.73

Interest capitalized (365,529.73 * 0.08) = 29,242.38

Amount (365,529.73 + 29,242.38) = $394,772.11

Answer:

[tex]\huge\boxed{Option \ 1}[/tex]

Step-by-step explanation:

Since, AE = CE and BE = DE , then E is the midpoint of AC and BD. Causius can use that to show that AC and BD bisect each other which means that they both are the diagonals of a parallelogram bisecting each other. Hence, It will be proved that ABCD is a || gm.

Hope this helped!

Hey there!

Answer:

25.1 units.

Step-by-step explanation:

Calculate the lengths of sides AB, BC and AC. Use the distance formula: [tex]d = \sqrt{(x_2 - x_1)^2 + (y_2-y_1)^2}[/tex]

Solving for AB:

[tex]d = \sqrt{(4 -(-4))^2 + (5-(-1))^2}[/tex]

[tex]d = \sqrt{8^2 + 6^2}[/tex]

[tex]d = \sqrt{100}[/tex]

[tex]AB = 10[/tex]

Solving for BC:

This side is a vertical line, meaning simply find the difference of y values between each endpoint.

[tex]5-(-2) = 7[/tex]

[tex]BC = 7[/tex]

Solving for AC:

[tex]d = \sqrt{(4-(-4))^2 + (-2-(-1))^2}[/tex]

[tex]d = \sqrt{(8)^2 + (-1)^2}[/tex]

[tex]d = \sqrt{65}[/tex]

d≈ 8.06 units

Add up all of the side lengths:

10 + 7 + 8.06 = 25.06 ≈ 25.1 units.

Answer:

Step-by-step explanation:

Let a = original amt in the savings account

"He spent $48 on a radio and 3/8 of what was left on presents for his friends."

Therefore he kept 5/8 of what was left

5/8(a - 48)

5/8(a - 30) left

:

John then put 2/3 of his remaining money into a checking account and donated the $100 that was left to charity.

a = 2/3(5/8a - 30) + 100

a = 5/12a - 20 + 100

a = 5/12a + 80

a - 5/12a = 80

7/12a = 80

a = $137.17 originally in his saving acct

Answer:

101-120=4

Step-by-step explanation:

All that you need to do is count how many data points fall into this category. In this case, there are four data points that fall into the category of 101-120 pushups

Therefore, the answer to the blank is 4. If possible, please mark brainliest.

Answer:

There are 4 numbers between 101 and 120.

Step-by-step explanation:

101-120: 105, 111, 111, 113 (4 numbers)

Answer:

[tex]solution \\ 2x - 3 = x + 4(being \: alternate \: exterior \: angles) \\ or \: 2x - x = 4 + 3 \\ x = 7 \\ hope \: it \: helps[/tex]

Answer:

6 pounds

Step-by-step explanation:

Step-by-step explanation:

2) 63

3) 7000

4) 10

These are some answers

Answer:

No value of k will make AB=BA

Step-by-step explanation:

[tex]A=\left(\begin{array}{ccc}3&2\\-1&2\end{array}\right), $ $B=\left(\begin{array}{ccc}2&6\\-3&k\end{array}\right) \\\\\\AB=\left(\begin{array}{ccc}3&2\\-1&2\end{array}\right)\left(\begin{array}{ccc}2&6\\-3&k\end{array}\right)=\left(\begin{array}{ccc}3*2+2*-3&3*6+2*k\\-1*2+2*-3&-1*6+2k\end{array}\right)=\left(\begin{array}{ccc}0&18+2k\\-8&-6+2k\end{array}\right)[/tex]

[tex]BA=\left(\begin{array}{ccc}2&6\\-3&k\end{array}\right)\left(\begin{array}{ccc}3&2\\-1&2\end{array}\right)=\left(\begin{array}{ccc}0&16\\-6&-6+2k\end{array}\right)[/tex]

We can see that [tex]AB \neq BA[/tex]. Therefore, there is no value of k that will make it equal. In general, matrix multiplication is not commutative.

Answer:

7.7

Step-by-step explanation:

The area of the wall is 4 * 2 = 8.

The radius of each clock is 0.3 / 2 = 0.15.

The area of all 4 circles is 4 * (πr²) = 4 * 3.14 * 0.15² = 0.3.

8 - 0.3 = 7.7

Answer:

6.9

Step-by-step explanation:

Total area of the wall is 4 x 2 =  8

Area for a circle is π x radius^2

Therefore total area of 4 clocks = 4 (π x 0.3^2)

Which is: 1.13...

Now we take away this answer from the area of the wall:

8 - 1.13... = 6.9 (1 d.p)

Answer:

[tex](\dfrac{94}{100})^{10} \ or\ \approx 0.54[/tex]

Step-by-step explanation:

Given :

Probability that a house in an urban area will be burglarized,

[tex]p =6\%=\dfrac{6}{100}[/tex]

To find:

Probability that none of the houses randomly selected from 10 houses will be burglarized = ?

[tex]P(r=0) =?[/tex]

Solution:

This question is related to binomial distribution where:

[tex]p =\dfrac{6}{100}[/tex]

[tex]\Rightarrow[/tex] Probability that a house in an urban area will not be burglarized,

[tex]q =1-6\%=94\%=\dfrac{94}{100}[/tex]

Formula is:

[tex]P(r=x)=_nC_xp^xq^{n-x}[/tex]

Where n is the total number of elements in sample space and

x is the number selected from the sample space.

Here, x = 10 and

x = 0

[tex]\therefore P(r=0)=_nC_0p^0q^{10-0}\\\Rightarrow 1 \times (\dfrac{6}{100})^0\times (\dfrac{94}{100})^{10}\\\Rightarrow 1\times (\dfrac{94}{100})^{10}\\\Rightarrow (\dfrac{94}{100})^{10}\\\\\Rightarrow (0.94)^{10}\\\Rightarrow \approx 0.54[/tex]

Answer:

plane

Step-by-step explanation:

Answer:

D. Plane

Step-by-step explanation:

A plane extends in two dimensions. This figure is a plane. It is not a point, a segment or a ray.

Consider a homogeneous machine of four linear equations in five unknowns are all multiples of 1 non-0 solution. Objective is to give an explanation for the gadget have an answer for each viable preference of constants on the proper facets of the equations.

Yes, it's miles true.

Consider the machine as Ax = 0. in which A is 4x5 matrix.

From given dim Nul A=1. Since, the rank theorem states that

The dimensions of the column space and the row space of a mxn matrix A are equal. This not unusual size, the rank of matrix A, additionally equals the number of pivot positions in A and satisfies the equation

rank A+ dim NulA = n

dim NulA =n- rank A

Rank A = 5 - dim Nul A

Rank A = 4

Thus, the measurement of dim Col A = rank A = five

And since Col A is a subspace of R^4, Col A = R^4.

So, every vector b in R^4 also in Col A, and Ax = b, has an answer for all b. Hence, the structures have an answer for every viable preference of constants on the right aspects of the equations.

Answer:

x=2

Step-by-step explanation:

x + 7 = 6x - 3

Subtract x from each side

x+7-x = 6x-x

7 = 5x-3

Add 3 to each side

7+3 = 5x-3+3

10 =5x

divide by 5

10/5 = 5x/5

2 =x

Answer:

x= 2

hope it helps!

Step-by-step explanation:

x + 7 = 6x - 3

Bring all the variables to one side

So get 6x to the other side

x+7-6x = -3

-5x +7 = -3

Take 7 to the other side

-5x= -3 -7

-5x = -3 + -7

-5x = -10

x = -10/-5

minus n minus becomes plus

x= 10/5

= 2

Answer:

2x/3 + 2= 16

=21

Step-by-step explanation:

Standard form:

2

3

x − 14 = 0  

Factorization:

2

3 (x − 21) = 0  

Solutions:

x = 42

2

= 21

Answer:

a) Real range of employees hired by each organization surveyed = 56

b) The cumulative percent of "new" employees with the lowest tenure =        30%

Step-by-step explanation:

a) Note: To get the real range of employees hired by each organization, you would do a head count from 34 to 89 employees. This means that this can be done mathematically by finding the difference between 34 and 89 and add the 1 to ensure that "34" is included.

Real range of employees hired by each organization surveyed = (89 - 34) + 1

Real range of employees hired by each organization surveyed = 56

b) It is clearly stated in the question that  the "new" employee status was mostly reserved for the 30% of employees in the organization with the lowest tenure.

Therefore, the cumulative percent of "new" employees with the lowest tenure = 30%

Answer:

X=3 or x= -3

Step-by-step explanation:

2x^2 - 18 =0

Take a common factor

2(x^2 - 9) = 0

2(x-3)(x+3)=0

X-3=0 or x+3=0

X=3 x=-3

Hope this helps!

Step-by-step explanation:

Hope this is correct

HAVE A GOOD DAY!

Answer:

Step-by-step explanation:sin

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Answer:

[tex]x=\frac{\sqrt{14} }{2}[/tex]

Step-by-step explanation:

Notice that you are given an isosceles right-angle triangle to solve, since each of its two acute angles measures [tex]45^o[/tex]. Then such means that the sides opposite to these acute angles (the so called "legs" of this right angle triangle) must also be of the same length (x).

We can then use the Pythagorean theorem that relates the square of the hypotenuse to the addition of the squares of the triangles legs:

[tex](\sqrt{7})^2=x^2+x^2\\7=2\,x^2\\x^2=\frac{7}{2} \\x=+/-\sqrt{\frac{7}{2}} \\x=+/-\frac{\sqrt{14} }{2}[/tex]

We use just the positive root, since we are looking for an actual length. then, the requested side is:

[tex]x=\frac{\sqrt{14} }{2}[/tex]

Answer:

x = 16.5

Step-by-step-explanation:

The height of the larger triangle is 11, and the height of smaller triangle is 2. Which means that the larger triangle height is 5.5 times greater than the smaller triangle's height.

If the base of the smaller triangle is 3, that means that base of the whole/larger triangle is 16.5 because 3 * 5.5 = 16.5

Answer: $3267.40

Step-by-step explanation:

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

A= 2500 (1+0.055)^nt

A= 2500 x 1.30696

A = 3267.40

Answer:

11

Step-by-step explanation:

Answer:

[tex]4\frac{1}{5}[/tex]

Step-by-step explanation:

=>[tex]\frac{7}{9} * 5 \frac{2}{5}[/tex]

=> [tex]\frac{7}{9} * \frac{27}{5}[/tex]

=> [tex]\frac{7*3}{5}[/tex]

=> [tex]\frac{21}{5}[/tex]

=> [tex]4\frac{1}{5}[/tex]

Answer:

[tex]4\frac{1}{5}[/tex]

Step-by-step explanation:

[tex]\frac{7}{9} \times 5 \frac{2}{5}[/tex]

[tex]\frac{7}{9} \times \frac{27}{5}[/tex]

[tex]\frac{7 \times 27}{9 \times 5 }[/tex]

[tex]\frac{189}{45}[/tex]

[tex]\frac{21}{5}[/tex]

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

Answer:

1:4

Step-by-step explanation:

Answer:

1 : 4

Step-by-step explanation:

5:20

Divide each side by 5

5/5 : 20/5

1 : 4

Answer:

42º

Step-by-step explanation:

You can start by setting up the equations that are given in the stem of the problem: a=.5b, c=b-50, a+b+c=180. Then plug in the values of b in relation to the other values into the equation a+b+c=180. This will give you (.5b)+b+(b-50)=180. By expanding this and combining like terms, we will get 2.5b=230. By dividing each side by 2.5, we get b=92. Then, referencing the first equations, a=.5(92)=46, and c=92-50=42. The smallest of all of these is c, 42.

Answer:

2 to the 3rd power,

2*2*2

4 to the 3rd power,

4*4*4

Step-by-step explanation:

The "3rd power" means how many times the number given to it would be multiplied. Aka, 2 to the 4th power would mean 2 times 2 times 2 times 2, (2 four times).