What is the length of the unknown leg in the right triangle

Answer:

28. x(x+2)(x+5)

29. 2(2x+1)(x-2)

30. y(a+5)^2

Step-by-step explanation:

30. y(a+5)(a+5)

Answer:

Step-by-step explanation:

Given equation of a straight line is,

y = -4 - 2x

Domain of the line (x) → {-3, -2, -1, 0, 1}

Therefore, range for the given set of domain will be,

Range (y) → {2, 0, -2, -4, -6}

[By substituting the value of x in the given equation we get the value of y]

Set of scatter points are,

(-3, 2), (-2, 0), (-1, -2), (0, -4), (1, -6)

Now we plot these points to get the discrete graph as attached.

Answer:

The appropriate test for the investigation is;

E. A chi-square test of independence

Step-by-step explanation:

The chi-square test for independence is for the analysis of two categories from within a population to evaluate the existence of association among the different categories within the two variables

The chi-square test for independence is used for the analysis of contingency (frequency) table

Therefore, the appropriate test for the investigation in finding out (1) the textbook preference and (2) the class level of the associated student is the chi-square test of independence

Answer:

The amount of money they will spend at the restaurant is $35.16

Step-by-step explanation:

From the information given in the question, we have;

The amount Jessica, Genesis, and Violet received as bill at the restaurant, X = $29.30

The amount they wished to leave as tip, T = 20% (of the bill)

Therefore, the amount of money they will spend at the restaurant, 'A', is given as follows;

A = X + T

T = 20% of X = 20/100 × X = 0.2·X

∴ A = X + 0.2·X = 1.2·X

X = $29.30

A = 1.2·X = 1.2 × $29.30 = $35.16

The amount of money they will spend at the restaurant, A = $35.16

Answer:

Simplifying

8m + -14 = 3m + 46

Reorder the terms:

-14 + 8m = 3m + 46

Reorder the terms:

-14 + 8m = 46 + 3m

Solving

-14 + 8m = 46 + 3m

Solving for variable 'm'.

Move all terms containing m to the left, all other terms to the right.

Add '-3m' to each side of the equation.

-14 + 8m + -3m = 46 + 3m + -3m

Combine like terms: 8m + -3m = 5m

-14 + 5m = 46 + 3m + -3m

Combine like terms: 3m + -3m = 0

-14 + 5m = 46 + 0

-14 + 5m = 46

Add '14' to each side of the equation.

-14 + 14 + 5m = 46 + 14

Combine like terms: -14 + 14 = 0

0 + 5m = 46 + 14

5m = 46 + 14

Combine like terms: 46 + 14 = 60

5m = 60

Divide each side by '5'.

m = 12

Simplifying

m = 12

Answer:

m = 12

Step-by-step explanation:

We want to isolate "m" on one side of equation to see what it is equal to.

Step 1.

Add 14 to both sides of the equation to get 8m = 3m + 60

Step 2.

Subtract 3m from both sides to get 5m = 60

Step 3.

Divide both sides by 5 to get m = 12.

Answer:

235 sq. cm

Step-by-step explanation:

Split into three different shapes

18*3=54

15*6=90

13*7=91

54+90+91=235

Answer:

D) 7.1 units³

Step-by-step explanation:

V = (3.14)(1.5)²(3/3)

= (3.14)2.25 = 7.1

Answer:

you didn't add a question

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

-4(x^2+14x+49)-6

-4x^2-56x-196-6

-4x^2-56x-202

Answer:

F(x)=-4x^2 - 56x - 202

Step-by-step explanation:

Answer:

Step-by-step explanation:

c(f) = [tex]\frac{5}{9}(f-32)[/tex]

[tex]-21 = \frac{5}{9}(f-32)[/tex]

Multiply both sides by 9

-21*9 = 5(f - 32)

-189 = 5*f - 5*32

-189 = 5f - 160

Add 160 to both sides

-189 + 160 = 5f

-29  = 5f

Divide both sides by 5

-29/5 = f

f = -5.8

f = -6 °C

Answer: he would save15,000

Step-by-step explanation:

Answer:

Step-by-step explanation:

3. Area = pie r2

A = (22/7) (4)2

= 50.27

4. Circumference = pie d

C = (22/7) (13)

= 40.84

Answer:

= 5 /1 2

Step-by-step explanation:

Answer:

infinite

Step-by-step explanation:

you could say 1/1 or 4/4 or 146798245/146798245

any number over itself is a whole

Does that answer it? I feel like I'm missing something

Answer:

Any

Step-by-step explanation:

You can write one whole by making the numerator and denominator the same number. Examples:      2/2      3/3      4/4      5/5      6/6      7/7      8/8      9/9     10/10      100/100      20/20

Answer: D the final mean is higher than the original

Step-by-step explanation:

90+85+98+60+84+78/6= 82.5 as the original mean

dropping 60 which is the lowest grade means 90+85+98+84+78/5=87 which means the new mean is 87 which is greater than the original mean of 82.5

So the answer is D

The probability of rolling a 3 the first time is 1/6.

The probability of rolling an even number is 1/2.

Answer The small triangles each have an area of 12m^2 and the big rectangle had an area of 80m^2. This would mean that the combined area is 104m^2

Step-by-step explanation: The rectangle shape can be found by multiplying 8 by 10 to get 80m^2. The two triangles can be found by multiplying 4 (half of 8) by 6 and then dividing it by two. This would mean that the small triangles each have an area of 12.

Answer:diagonals of rectangle are equal in length while diagonals of a parallelogram can be different lengths

Step-by-step explanation:

What is true of a rectangle that is not true of a parallelogram is that; the diagonals of a rectangle are equal but the diagonals of a parallelogram are not equal.

We are dealing with rectangles and parallelogram here.

Now, both rectangle and parallelogram have 4 sides respectively with 2 of the sides being equal.

Now, for a rectangle, the diagonals are always equal because all the internal angles are equal.

However, for a parallelogram, all the internal angles are not equal and as such the diagonals are also not equal.

In conclusion, what is true of a rectangle that is not true of a parallelogram is that the diagonals of a rectangle are equal but the diagonals of a parallelogram are not equal.

Read more about diagonals of Quadrilaterals at; https://brainly.com/question/25806235

Answer:

Step-by-step explanation:

value of 6n-2 when n=3 is 6(3)-2 = 18-2 = 16

Answer:

She earns $0.5 per hour

Step-by-step explanation:

mark brainliest

_____ earns $23.4 per hour, $.1 less than ___

Answer:

-7,3

Step-by-step explanation:

look at the pictire

Answer:

-2(x+4)(x+2)

Step-by-step explanation:

thats the answerer

Answer:

9

Step-by-step explanation:

-Twice means muliply by 2

-The difference of a number and 7 means subtract a number/variable and 7.

-Is equal to 9 means =9

2(X - 7) = 9

An equation to model the number is: n - 7 x 2 = 2

To find the equation, break apart the question.

twice the difference of a number and 7 equals 2. - "Twice" means we are multiplying by 2, or x 2

twice the difference of a number and 7 equals 2. "The difference of a number and 7" means we are subtracting n - 7, and this is being multiplied by 2 so we have n - 7 x 2 so far.

twice the difference of a number and 7 equals 2. "Equals two" means the equation is equal to 2, or = 2, so our equation is n - 7 x 2 = 2.

Answer:

○ [tex]\displaystyle f(x) = 10cos\:\frac{\pi}{2}x + 10[/tex]

Step-by-step explanation:

[tex]\displaystyle \boxed{f(x) = 10sin\:(\frac{\pi}{2}x + \frac{\pi}{2}) + 10} \\ \\ y = Asin(Bx - C) + D \\ \\ Vertical\:Shift \hookrightarrow D \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \\ Amplitude \hookrightarrow |A| \\ \\ Vertical\:Shift \hookrightarrow 10 \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \hookrightarrow \boxed{-1} \hookrightarrow \frac{-\frac{\pi}{2}}{\frac{\pi}{2}} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \hookrightarrow \boxed{4} \hookrightarrow \frac{2}{\frac{\pi}{2}}\pi \\ Amplitude \hookrightarrow 10[/tex]

OR

[tex]\displaystyle y = Acos(Bx - C) + D \\ \\ Vertical\:Shift \hookrightarrow D \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \\ Amplitude \hookrightarrow |A| \\ \\ Vertical\:Shift \hookrightarrow 10 \\ Horisontal\:[Phase]\:Shift \hookrightarrow 0 \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \hookrightarrow \boxed{4} \hookrightarrow \frac{2}{\frac{\pi}{2}}\pi \\ Amplitude \hookrightarrow 10[/tex]

The cosine graph in the photograph on the right is the OPPOCITE of the cosine graph in the photograph on the left, and the reason for this is because of the negative inserted in front of the amplitude value. Whenever you insert a negative in front of the amplitude value of any trigonometric equation, the whole graph reflects over the midline. Keep this in mind moving forward. Now, with all that being said, no matter how far the graph shifts vertically, the midline will ALWAYS follow.

**Moreover, both graphs have the same maximum and minimum value, but we are looking for the equation that will not reflect over the midline of [tex]\displaystyle y = 10,[/tex]which means we do NOT want a negative in front of the amplitude value, therefore we have this equation:

[tex]\displaystyle f(x) = 10cos\:\frac{\pi}{2}x + 10[/tex]

If you are having trouble figuring out which graph is which, just remember that the parent function of [tex]\displaystyle y = cos\:x[/tex]never touches the origin unless it shifts one unit south or gets reflected from somewhere. In this case, the photograph on the left touches the origin because of a reflection [negative symbol], therefore the photograph on the right matches the equation selected.

I am delighted to assist you at any time.

The correct function is,

⇒ y = 10 cos (π/2x) + 10

A relation between a set of inputs having one output each is called a function.

Given that;

A cosine function has a period of 4.

Since, The period is 4.  

Hence, The relationship between period and b (the coefficient of the independent variable of the cosine function) is, (period) =(2π/b).  

Hence, We get;

⇒ 4b = 2π

⇒ b = 2π/4

⇒ b = π/2

So, Now our equation y = a cos (bx) + c becomes as;

⇒ y = 10 cos (π/2x) + 10

Thus, The horizontal center line of this cosine curve is y = 10.  The maximum value of the curve is 20, which is 10 + 10, and the minimum value is 0, which is 10 - 10.

Learn more about the function visit:

https://brainly.com/question/28793267

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Answer:

49

Step-by-step explanation:

3500 divided by 5 equals 700

700 times 7% equals 49