Which equation is represented by the graph below?
y
5
4 3 2 1
-5 -3 2-14
1 2 3 4
-2
3
Y
O y=-2x + 2
O y=-3x+2

Answer:

68.89 degrees

Step-by-step explanation:

Given that,

A person does a handstand with his feet touching a wall and his hands 1.8 feet away from the wall.

A  person is 5 feet tall

We need to find the angle his hands make with the ground. Let it is [tex]\theta[/tex]. Here, 5 ft will be hypotenuse and 1.8 ft will be base of a triangle. Using trigonometry we get :

[tex]\cos\theta=\dfrac{B}{H}\\\\\cos\theta=\dfrac{1.8}{5}\\\\\theta=\cos^{-1}\left(0.36\right)\\\\\theta=68.89^{\circ}[/tex]

So, his hands will make 68.89 degrees angle with the ground.

Answer: A is the answer

Answer:

Step-by-step explanation:

the least common denominator would be 4/10 and 2/10 but that isn’t an option. none of the answers provided are correct. there’s a mistake in the answers.

Answer:

solution:

x = pounds of cashews = 20

y = pounds of peanuts = 70

Step-by-step explanation:

x = pounds of cashews

y = pounds of peanuts

---

4.75x + 2.50y = 3.00*90

x + y = 90

---

put the system of linear equations into standard form

---

4.75x + 2.50y = 270

x + y = 90

Answer:

A

Step-by-step explanation: hope it helps

Answer:

-5/6

Step-by-step explanation:

[tex]-\frac{5}{7}[/tex] is then multiplied by the reciprocal

[tex]-\frac{5}{7}*\frac{7}{6}[/tex] cross cancel the sevens

-[tex]\frac{5}{6\\}[/tex] is your answer

Answer:

12.1 percent

Step-by-step explanation:

Answer:

230/84 = 63.9/25

Answer:

The answer is -5.

___________________________

If this helped mark as brainliest. :)

The solution for the given set of equations 3x + 2y = 2 and -x + 4y = 2  is x = 6 and y = 2.

An equation is a combination of different variables, in which two mathematical expressions are equal to each other.

The given set of equations is

3x + 2y = 22        (1)

-x + 4y = 2           (2)

Find the value of x from equation (2),

-x + 4y = 2

x = 4y -2

Substitute the value of x in equation (1)

3(4y - 2) + 2y = 22

12y - 6 + 2y = 22

14y = 28

y = 2

Substitute the value of y in equation (2) to get the value of x,

-x + 4(2) = 2

x = 8-2

x = 6

The value of x is 6 and value of y is 2.

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Answer:

Step-by-step explanation:

Not clear

Answer:

130

Step-by-step explanation:

I believe that 1 = 13 for this ratio.

Answer:

37.5 square units

Step-by-step explanation:

Given:

A(-6,-4), B(6,5), C(-1,6), and D(2, 2), where CD is the altitude if ∆ABC

Required:

Area of ∆ABC

SOLUTION:

Area of a ∆ABC =½*AB*CD

✍️[tex] AB = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} = \sqrt{6 -(-6))^2 + (5 -(-4))^2 [/tex]

[tex] AB = \sqrt{12^2 + 9^2} [/tex]

[tex] AB = \sqrt{144 + 81} [/tex]

[tex] AB = \sqrt{225} = 15 [/tex]

✍️[tex] CD = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} = \sqrt{2 -(-1))^2 + (2 - 6)^2 [/tex]

[tex] CD = \sqrt{(3)^2 + (-4)^2} [/tex]

[tex] CD = \sqrt{9 + 16} [/tex]

[tex] CD = \sqrt{25} = 5 [/tex]

✍️Area of a ∆ABC =½*AB*CD

= ½*15*5

✅ Area = 37.5 square units

Answer:

Step-by-step explanation:

Given

A line has a slope = 2

point = (5,2)

Solution

y-y1=m (x-x1)

Where y1=2,X1=5,m=2

y-2=2(x-5)

Y-2=2x-10

2x-y=-8

Equation of the line is 2x-y=-8

Answer:

Expected mean = 23.2159

Variance = 15.89

Step-by-step explanation:

Given that :

Number of kindergarten students (X) :

21 + 24 + 17 + 28 = 90

P(X):

21/ 90 = 0.233

24/90 = 0.2667

17/90 = 0.1889

28/90 = 0.3111

X : ____ 21 ____24 _____ 17 ______ 28

P(x) : _ 0.233 _ 0.2667 __ 0.1889 __ 0.3111

E(X) = Σ[(p)*p(x)]

(21 * 0.233) + (24 * 0.2667) + (17 * 0.1889) + (28 * 0.3111) = 23.2159

Var(X) : Σ(x²*p(x)) - E(x)²

x² * p(x) = (21^2 * 0.233) + (24^2 * 0.2667) + (17^2 * 0.1889) + (28^2 * 0.3111) - 23.2159^2

554.8667 - 538.97801281

= 15.88868719

= 15.89

Answer:

7.5 pounds

Step-by-step explanation:

How much orange pekoe tea costing $6.00 per pound should be mixed with green tea costing $5.00 per pound to get a mixture of 30 pounds costing $5.25 per pound?

We have two systems of equations

Let the number of pounds of pekoe tea be represented by p

The number of pounds of green tea be represented by g

Hence:

p + g = 30 ...... Equation 1

p = 30 - g

$6 × p + $5 × g = 30 × $5.25

6p + 5g = 157.5.........Equation 2

We substitute 30 - g for p in Equation 2

6(30 - g) + 5g = 157.5

180 - 6g + 5g = 157.5

-6g + 5g = 157.5 - 180

-g = -22.5

g = 22.5 pounds

Solving for p

p = 30 - g

p = 30 - 22.5

p = 7.5 pounds

Hence, the number of pounds of pekoe tea = 7.5 pounds

Answer:

The most significant outcome of the Sarbanes-Oxley Act was the creation of the

Public Company Accounting Oversight Board (PCAOB).

Answer:

1 × 4=4,so 4 ÷ 2 1/4=2.0 bracelets.

Step-by-step explanation:

ok in 1 hr to get the number of bracelets,we ought to cross multiply 1 hr multiplied by 4 bracelets and then the answer which is 4, Will be deviided by 9/4 which is the improper fraction from the mixed fraction of 2 1/4 then we get 1.7777 with recurring sevens but because we need number of bracelets,we round off the sevens into one decimal point and thus getting 2.0 bracelets.

Answer:

[tex]b.)= (\frac{25}{2} , \ -25\frac{\sqrt{3} }{2})\ mph[/tex]

Step-by-step explanation:

Given;

velocity of the diver, v = 25 mph

direction of his dive, θ = 60°

The vertical component of the velocity is given by;

[tex]-V_y = vsin\theta \ \ (below \ horizontal \ is \ in \ negative\ y-direction)\\\\V_y =-(25)(sin 60)\\\\V_y =-(25)(\frac{\sqrt{3} }{2} )[/tex]

The horizontal component of the velocity is given by;

[tex]V_x =vcos\theta\\\\V_x =(25)(cos 60 )\\\\V_x =(25)(\frac{1 }{2} )\\\\V_x = \frac{25}{2}[/tex]

Therefore, the component form of the velocity vector is given by;

[tex](V_x, \ V_y) = (\frac{25}{2} , \ -25\frac{\sqrt{3} }{2})\ mph[/tex]

correct option = [tex]b.)= (\frac{25}{2} , \ -25\frac{\sqrt{3} }{2})\ mph[/tex]

Answer:

B: (25/2, - 25√3/2)

Step-by-step explanation:

First find the values

v = 25 mph

θ = 60°

Vertical:

[tex]V_{y}[/tex] = -vsin(θ) (Negative because it is below the x axis.)

[tex]V_{y}[/tex] = (-25)(sin(60))

[tex]V_{x}[/tex] = (-25)([tex]\frac{\sqrt{3} }{2}[/tex])

[tex]V_{y}[/tex] = [tex]\frac{-25\sqrt{3} }{2}[/tex]

Horizontal:

[tex]V_{x}[/tex] = vcos(θ)

[tex]V_{x}[/tex] = (25)(cos(60))

[tex]V_{x}[/tex] = (25)(1/2)

[tex]V_{x}[/tex] = [tex]\frac{25}{2}[/tex]

Putting them together we get:

([tex]\frac{25}{2}[/tex], [tex]\frac{-25\sqrt{3} }{2}[/tex]) or B

Answer:

600 miles

Step-by-step explanation:

Answer:

600 miles or 600 unit squares

Step-by-step explanation:

Answer:

1. 20%

2. 40%

Step-by-step explanation:

To find the percent of the total payment that the down payment is we have to you use the following equation:

[tex]\frac{part}{whole} * 100 = percent[/tex]

Lets start plugging things into the equation.

The part is equal to the down payment and the whole is the total cost of the studio apartment.

Let's do this for the first question

[tex]\frac{24,000}{120,000} * 100 = 20%[/tex]

So we see that 24,000 is 20% of the total purchase price!

Let's do this for the next question:

[tex]\frac{48,000}{120,000} * 100 = 40[/tex]

48,000 is 40% of the 120,000 total cost!

Hope this helps!

- Kay

1. 20% percent of the purchase price would be a 24000 down payment

2. 40% percent of the purchase price would be a 48000 down payment

Suppose the value of which a thing is expressed in percentage is "a'

Suppose the percent that considered thing is of "a" is b%

Then since percent shows per 100 (since cent means 100), thus we will first divide the whole part in 100 parts and then we multiply it with b so that we collect b items per 100 items(that is exactly what b per cent means).

We are given that Investors buy a studio apartment for 120000 of this amount they have down payment of 24000 their down payment.

To find the percent of the total payment that the down payment is we have to use the following equation:

24,000 = x%(120,000)

The part is equal to the down payment and the whole is the total cost of the studio apartment.

Let's do this for the first question

24,000 = x%(120,000)

x = 20

we see that 24,000 is 20% of the total purchase price!

Again;

48,000 = x%(120,000)

x = 40

48,000 is 40% of the 120,000 total cost.

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Answer:

30

Step-by-step explanation:

Answer:

itz 30 my dude

Answer: 3) (-1,-4)

Step-by-step explanation:

We define a function as a relationship that maps elements from one set (inputs) into elements of another set (outputs).

The functions have one important rule, each element in the domain (the set of possible inputs) can be mapped into only one element in the range (set of possible outputs).

Then if we have:

a ≠ b

and for an input x0.

f(x0) = a

and

f(x0) = b

this is not a function, as it maps the value x0 into two different values.

Then we know that the points  {(-2,3),(-1,4),(0,5)} define our function.

Then the option that makes this relation to not be a function, will be any point that has the same input as some of the above ones, and different output.

the correct one is 3) (-1, -4)

Then the set will be:

{(-2,3),(-1,4),(0,5), (-1, -4)}.

Now we have two times the input -1, and different outputs, then this is not a function.

(-1, -4) would create a set that no longer represents a function.

Note that a relation is a function if each value of x is matched to only one value of x.

A relation does not qualify to be a function if one value of x is matched to more than one value of y.

For a function defined by the set of ordered pairs {(-2,3),(-1,4),(0,5)}:

The addition of an x-value that is already in the function will make the x-value to be matched to more than one y-value. This will disqualify the relation from being a function.

By considering the options given:

The option (-1, -4) would create a set that no longer represent a function because at x = -1, the values of y will be 4 and -4, which will make the graph fail the vertical line test

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Answer:

$16,525.53.

Step-by-step explanation:

A=Pe^rt

P=$12,000

r=0.04

t=8 years

Answer: 35 cookies

Step-by-step explanation: To find 70% of 50, you have to multiply 50 by 0.7. That would equal five times 7 which equals 35.

Answer:

9.23712

Step-by-step explanation:

First it asks you to round to the nearest thousandth of 8.23678. So, with decimals it is tenths, hundreths, then thousandths. So the 3rd decimal place. You then will compare look at the 4th decimal place, 7, and compare it to 5. Since 7 is greater than 5, the 3rd decimal space goes up, being 8.237. Now you add the 1.00012 to get 9.23712.

Answer:

Step-by-step explanation:

Well looking at the answer sheet on google if u look up the name of the paper the first link that comes in there's an answer sheet to it! i would add the link but it wasn't letting me copy and paste.

Step-by-step explanation:

When x=-3

7-2(-3)=7-(-6)

=7+6

=13