Find the area of the parallelogram in square units.

88 kilometers per hour in miles per hour is 54.68 mi/hr

Note that:

1 km = 0.6214 miles

The measurement to convert is 88 kilometers per hour

Multiply 88 kilometers per hour by 0.6214 to convert to miles per hour

88 kilometers per hour = 88 x 0.6214 miles per hour

88 kilometers per hour = 54.6832 miles per hour

88 kilometers per hour =  54.68 mi/hr

Therefore, 88 kilometers per hour in miles per hour is 54.68 mi/hr

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Answer :

7

Step-by-step-explanation :

\( {((343 ^{ \frac{4}{3} })) }^{ \frac{1}{4} } \\ = ( {7}^{3} ) ^{ \frac{4}{3} } ) ^{ \frac{1}{4} } \\ = ( {7}^{4} ) ^{ \frac{1}{4} } \\ \)

\( = {7}^{1} = 7\)

Answer:

B

Step-by-step explanation:

You could solve this and verify with a system of equations, but b is correct! :) have a good day!

Answer:

2m+5s=60

Step-by-step explanation:

2m+5s=60

Since each multiple choice is 2 points, we have 2m and since every short answer is 5 points we have 5s. The total number of points is 60 so we have that equal to 60.

Answer:

The graph of the circle is attached.

What is a circle? A circle is a shape or a curve in a plane that has a fixed distance, called the radius, from a given point, called the center. A circle is also the set of all points that are equidistant from the center. A circle is a special case of an ellipse with zero eccentricity and coincident foci. Given is an equation of a circle, we need to graph, it, The equation = (x-7)² + (y-5)² = 4 Here, the center of the circle is (7, 5) and the radius is 2.

Hence, the graph of the circle is attached.

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Answer:

Question 1:

A) Parallelogram

B) Right Angled Triangle

Question 2:

Using parallelogram to use properties of parallel lines. To find whether a quadrilateral is parallelogram, first we will write it's coordinates. After writing coordinates, we find slope of each line by slope formula. After this , we compare the slope of equal lines through which we come to know whether they are parallel to eachother or not. After that, if two pairs of lines are parallel, then the given quadrilateral is a parallelogram.

Answer:

17. 4

18. 4w + 34

19. 39t + 54

Step-by-step explanation:

Answer:

answer of QN 17 is 3 ,answer of QN 18 is 4w + 34 and answer of QN 19 is 39t + 54

Answer:

no

Step-by-step explanation:

hope this helps

The tangents of the acute angles in the right triangle gives:

tan(G) = 2

tan(H) = 1/2

It should be noted that tangent is the ratio of opposite over adjacent. Thus:

tan(angle) = opposite/adjacent

So for reference angle G, we say,

tan(G) = JH/GJ = 2/1 = 2

We'll treat tan(H) in a similar fashion, but the opposite and adjacent sides swap roles. That means we'll apply the reciprocal to the result above to get 1/2 for tan(H)

So we have this interesting property where

tan(G)*tan(H) = 2*(1/2) = 1

In general,

tan(A)*tan(B) = 1 if and only if A + B = 90 degrees

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The expected value  that  this broker assign to this stock's end-of-the-year price is $58.50.

Using this formula

Expected value=Stock worth at $50+ Stock worth at $60+ Stock worth at $70

Where:

Stock worth at $50=40% chance

Stock worth at $60=35% chance

Stock worth at $70=25% chance

Let plug in the formula

Expected value=(40%×$50)+($35%×$60)+($25%×$70)

Expected value=$20+$21+$17.5

Expected value=$58.50

Inconclusion the expected value  that  this broker assign to this stock's end-of-the-year price is $58.50.

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The solution is, the function is  g(x) = (x -5)² + 1

Function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable.

here, we have,

we know that,

The vertex form of a quadratic equation is: y = a(x - h)² + k    where

"a" is the vertical stretch

-a is a reflection over the x-axis

h is the horizontal shift (positive = right, negative = left)

k is the vertical shift (positive = up, negative = down)

given that,

f(x) = (x-2)² + 1

now we have,

Given: 3 units left   -->   h = -3

so, we get,          

g(x) = (x - 2- 3)² +1

       =(x-5)² + 1

Hence, The solution is, the function is  g(x) = (x -5)² + 1.

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Based on the calculation below,  the ending debit balance in the Cash account is $14,500.

The ending balance in the Cash account can be calculated using the following formula:

Ending balance = Beginning-of-the-period cash balance + Cash sales for the month - Current-period purchases - Amounts due from last month .......... (1)

Substituting all the relevant into equation (1), we have:

Ending balance = $12,000 + $8,000 - $2,500 - $3,000

Ending balance = $14,500

Since the $14,500 is positive, this implies that the ending can balance is debit.

Note that sales on the account is not cash transaction and that is it is not included in the calculation.

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The m<3 is approximately equal to 85.39 degrees.

The sum of the measures of the angles of a triangle is 180 degrees. So, we have:

m<1 + m<2 + m<3 = 180

So, (3x + 12) + (3x + 18) + (7x + 10) = 180

Simplifying and solving for x, we get:

13x + 40 = 180

13x = 140

x = 10.77

Now, we can find m<3 by substituting x in the expression for m<3:

m<3 = 7x + 10

m<3 = 7(10.77) + 10

m<3 = 85.39

Therefore, m<3 is approximately equal to 85.39 degrees.

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Step-by-step explanation:

\( \space\)

We have,

\( \longrightarrow \sf{4(x + y) (3a – b) + 6(x + y) (2b – 3a)}\)

\( \space\)

\( \: \: \sf{ = x + y) [4(3a – b) + 6(2b – 3a)]}\)

\( \space\)

\(\: \: \sf{ = ( x + y) [12a – 4b + 12b – 18a]}\)

\( \space\)

\( \: \: \sf{ = (x + y) [-6a + 8b]}\)

\( \space\)

\( \: \: \sf{ = (x + y) 2(-3a + 4b)}\)

\( \space\)

\( \: \: \sf{ = (x + y) 2(4b – 3a)}\)

\( \space\)

✿ Hope it helps! :)

\( \tiny{ \rm{ \pink{••••♪Kitten \: Eyes}}}\)

Answer:

2,3,5

Step-by-step explanation:

Answer:

2, 3 and 5 are the prime numbers

Step-by-step:

Answer:

2

Step-by-step explanation:

the reason it is 2 is because two negatives dont stay a negative two negatives = a positive now one negative = a negative

Answer:

8+3+23

Step-by-step explanation:

Answer:

The set of all output values of a function. Example: when the function f(x) = x2 is given the values x = {1,2,3,...} then the range is {1,4,9,...}

Answer: 23.80

Step-by-step explanation:

Answer:

4 dollars and 2 cents

Step-by-step explanation:

Step by step solution :

STEP

1

:

Equation at the end of step 1

 ((((2•(x4))-(13•(x3)))+33x2)-13x)-15  = 0  

STEP  

2

:

Equation at the end of step

2

:

 ((((2•(x4))-13x3)+33x2)-13x)-15  = 0  

STEP  

3

:

Equation at the end of step

3

:

 (((2x4 -  13x3) +  33x2) -  13x) -  15  = 0  

STEP

4

:

Polynomial Roots Calculator :

4.1    Find roots (zeroes) of :       F(x) = 2x4-13x3+27x2-13x-15

Polynomial Roots Calculator is a set of methods aimed at finding values of  x  for which   F(x)=0  

The linear factors of the given polynomial are (2x+3)(x+1)(x+2+i)(x+2-i)

The linear factors of polynomials are the first-degree equations that act as the building block for the simple or complex higher-order polynomials.

Given that, a polynomial 2x⁴+13³+27x²+13x-15, the remainder upon division with x²+4x +5 is zero,

That means, x²+4x +5 is a factor of the given polynomial,

On diving 2x⁴+13³+27x²+13x-15 by x²+4x +5 we get 2x²+5x+3 as quotient that means,  x²+4x +5 and 2x²+5x+3 are the factors of the polynomial,

On factorizing both the factors we get,

(2x+3)(x+1)(x+2+i)(x+2-i)

Hence, the linear factors of the given polynomial are (2x+3)(x+1)(x+2+i)(x+2-i)

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Natasha will be a total of $5,580 as social security tax by the end of the year.

The percentage charged as social security tax = 6.2%

Number of weeks in a year = 52

Yearly gross = weekly gross × 52 = $1800 × 52 = $93,600

Since, Natasha's yearly gross earning is ≥ $90,000 ; Then, his earning is eligible to be charged for social security tax

Amount charged = $90,000 × 6.2%

Amount charged = $90,000 × 0.062

Amount charged = $5,580

Therefore, Natasha will be charged $5,580 as social security tax.

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Answer:

the 3 correct ones are b,c,e

Answer:

See below.

Step-by-step explanation:

He earns $20 per hour, so when you multiply 20 by h number of hours, you get the amount he earns for working h hours.

The equation is

e = 20h

A is false.

B

e = 20h

20h = 500

h = 25

B is true.

C is false. He earns $20 per hour, not 20h dollars per hour.

D

e = 20h

For 10 hours, h = 10.

e = 20 * 10 = 200

He earns $200 for 10 hours.

D is false.

E

If he raises his hourly rate by $2, he will earn $22 per hour. The new equation is

e = 22h

E is true.

The value of x that makes the line containing (1,2) and (5,3) perpendicular to the line containing (x,4) and (3,0) is x = 2.

To determine the value of x such that the line containing (1,2) and (5,3) is perpendicular to the line containing (x,4) and (3,0), we need to find the slope of both lines and apply the concept of perpendicular lines.

The slope of a line can be found using the formula:

slope = (change in y) / (change in x)

For the line containing (1,2) and (5,3), the slope is:

slope1 = (3 - 2) / (5 - 1) = 1 / 4

To find the slope of the line containing (x,4) and (3,0), we use the same formula:

slope2 = (0 - 4) / (3 - x) = -4 / (3 - x)

Perpendicular lines have slopes that are negative reciprocals of each other. In other words, if the slope of one line is m, then the slope of a line perpendicular to it is -1/m.

So, we can set up the equation:

-1 / (1/4) = -4 / (3 - x)

Simplifying this equation:

-4 = -4 / (3 - x)

To remove the fraction, we can multiply both sides by (3 - x):

-4(3 - x) = -4

Expanding and simplifying:

-12 + 4x = -4

Adding 12 to both sides:

4x = 8

Dividing both sides by 4:

x = 2

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Answer:

64%

Step-by-step explanation:

1. First, we must know that the fraction 48/75 represents that out of 75 total fish, 48 of them were trout.

2. Now, let's divide 48 by 75:

3. Lastly, to convert it into a percentage, we must multiply 0.64 by 100:

Therefore, the answer is 64%.

Answer: 7

Step-by-step explanation:

f(x) = y

f(-5) = y

x = -5

find the value of y at x = -5

and the answer is 7

\(\ \large \bf \implies{width \: \: : \frac{96}{5} \: inches }\)

\(\bf{In \: Right \: ∆ABC \: \: , \: \: m \angle{B} = 90 \degree \: \: , \: \: { \overline{AC}} = 25}\)

\( \bf{Set \: \: \: width = 4x , height = 3x}\)

\( \bf \therefore( {4x}^{2} ) + ( {3x}^{2} ) = ( {24}^{2} )\)

[Pythagoras theorem]

\(\bf{ {16x}^{2} + {9x}^{2} = {24}^{2}} \\ \\ \bf{ {25x}^{2} = {24}^{2} } \\ \\ \bf{ {x}^{2} = \frac{ {24}^{2} }{25} } \\ \\ \bf{{x}^{2} = \bigg ( \frac{24}{5} \bigg)^{2} } \\ \\ \bf{ x = \sqrt{ \bigg(\frac{24}{5} \bigg)^{2} } \: \: \: \: \: \: \: \: \: [x \: > \: 0] }\\ \\ \bf{ x = \frac{24}{5}}\)

\( \bf \therefore \: 4x = 4 \times \frac{24}{5} = \frac{96}{5} \)

\( \bf\therefore \: width = \frac{96}{5} \: inches\)

Answer:

3.125

Step-by-step explanation:

First copy the question using control C, then open another tab and paste it using control V, next click enter on your key board and there you have it!

The numbers that are missing from the pattern are 41, 37, 33, and 29

From the question, we have the following parameters that can be used in our computation:

57, 53, 49, 45, ?, ?, ?, ?, 25, 21, 17, 13

The above pattern is an arithmetic pattern that has the following features

First term = 57

Common difference = 4

using the above as a guide, we have the following:

Next term = 45 - 4 = 41

Next term = 41 - 4 = 37

Next term = 37 - 4 = 33

Next term = 33 - 4 = 29

Hence, the numbers that are missing from the pattern are 41, 37, 33, and 29

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\(~~~~~~~\dfrac{45}{15} = \dfrac{R}9\\\\\\\implies \dfrac{R}9 = 3\\\\\\\implies R = 9 \times 3\\\\\\\implies R =27\)