stion No. 8
Which of the following statements is false?
a) Two vertically opposite angles can be acute
b) Two vertically opposite angles can be obtuse
c) Two vertically opposite angles can be right angles
d) Two vertically opposite angles may be unequal
0
(4) d​

Answer:

The expected game value is -1 cent

Step-by-step explanation:

Here, we want to calculate the expected value of the game

We have 4 aces and 4 kings, including 26 red cards

The number of aces is 4

Probability of drawing an ace is 4/52 = 1/13

Probability of drawing a king is also 4/52 = 1/13

There are 26 red cards

The number of red cards that are neither ace nor king

There are 2 red aces and 2 red kings

So the number of cards that are red but are not

aces nor kings are 26-2-2 = 22

The probability of selecting this is 22/52 = 11/26

So the expected value is simply the probability multiplied by the amount

Thus, we have;

(60 * 1/13) + (30 * 1/13) + (5 * 11/26)

= 60/13 + 30/13 + 55/26

= (120 + 60 + 55)/26 = 9.038 cents which is approximately 9 cents

we subtract this from the 10 cents we are playing with, thus we are left with 9-10 = -1 cent

Answer:

$25.2

Step-by-step explanation:

Because 20% of $125.99 is 25.198 and if you round that number to the nearest cent you get 25.2.

Have a fantastic day!!!!!!!!!!!!!!

Answer:

this is the figure btw

Step-by-step explanation:

Answer: It is 10

Step-by-step explanation:

Given :

A new car depreciates as soon as you drive it out of the parking lot. A certain car depreciates to  half its original value in 4 years. If you bought a car 8 years ago and it is now worth $5,000.

To Find :

How  much did you pay for the car originally.

Solution :

Let, original price is x.

It is given that price gets half after 4 years.

So, price after 8 year is, P = x/4 .

x/4 = 5,000

x = $20,000

Therefore, price of new of car is $20,000.

Hence, this is the required solution.

Answer:

2 bonus stars

Step-by-step explanation:

0.04 million= 40,000

40000/1701= 23.5

23.5(3)= 70.5

70.5/33= 2 stars

Answer:

to get a green and pink it would be 24

i cant find find the special edit sorry

Step-by-step explanation:

Answer:

54

Step-by-step explanation:

Answer:

The length of segment QA when Q(-7,10) and A(3,4) is √136 or 11.66 units

Step-by-step explanation:

Given points are:

Q(-7,10) and A(3,4)

Here

[tex](x_1,y_1) = (-7,10)\\(x_2,y_2) =(3,4)[/tex]

The distance between two points is the length of the segment formed by those two points. The distance between 2 points is given by:

[tex]d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Putting the values

[tex]d = \sqrt{(3-(-7))^2+(4-10)^2}\\d = \sqrt{(3+7)^2+(-6)^2}\\d = \sqrt{(10)^2+(-6)^2}\\d = \sqrt{100+36}\\d = \sqrt{136}\\d= 11.66\ units[/tex]

Hence,

The length of segment QA when Q(-7,10) and A(3,4) is √136 or 11.66 units

Answer:

The radius of the circle is: 4.09 cm

Step-by-step explanation:

Assuming the shape to be a circle.

The perimeter of a circle is called circumference and is given by the formula.

[tex]C = 2\pi r[/tex]

For the time being, we know

[tex]\pi = 3.142\\C = 25.71cm[/tex]

Putting the values in the formula we get: as x is the radius

[tex]25.71 = 2 * 3.142 * x\\25.71 = 6.284x\\x = \frac{25.71}{6.284}\\x = 4.09\ cm[/tex]

Hence,

The radius of the circle is: 4.09 cm

Answer:

(A) the subtraction property of equality

Step-by-step explanation:

Given

The steps in the question

Require

Justify step 2 to 3

Write out step 2:

[tex]-4x+9 = 2x+10[/tex]

Apply subtraction property by subtracting 2x from both sides

[tex]-4x-2x+9 = 2x-2x+10[/tex]

[tex]-6x+9 = 10[/tex]

Notice that the above equation is represented in step 3.

Hence, option A answers the question.

A. the subtraction property of equality

Answer:

[tex]f(x)=-\frac{1}{12}(x-3)^2(x+2)^2(x-4)[/tex]

Step-by-step explanation:

The standard form for a polynomial equation in its factored form is:

[tex]f(x)=a(x-p)(x-q)...[/tex]

Where p and q are the zeros and a is the leading coefficient.

We know that the degree of the polynomial is 5.

We are also given roots at x=3 and x=-2. Hence, our factors are (x-3) and (x+2).

These have a multiplicity of two, so we will square them.

We also know that there is a root at x=4. Hence, the factor is (x-4). This has a multiplicity of 1.

Therefore, our polynomial is now:

[tex]f(x)=a(x-3)^2(x+2)^2(x-4)[/tex]

We know that the y-intercept is 12. Therefore, if we substitute in 0 for x, we should get 12 for y. Here, we are solving for our a. Therefore:

[tex]12=a(0-3)^2(0+2)^2(0-4)[/tex]

Evaluate:

[tex]12=a(9)(4)(-4)[/tex]

Evaluate:

[tex]-144a=12[/tex]

Divide both sides by -144:

[tex]a=-1/12[/tex]

Hence, our entire polynomial is:

[tex]f(x)=-\frac{1}{12}(x-3)^2(x+2)^2(x-4)[/tex]

Answer:

1,087.59014, 23.7, 0.6868

Step-by-step explanation:

Any decimal that ends.

Answer:

If 3 letters are picked from the word 'PROBABILITY', the chances of it being P is 33.33%.

Hope this helps and if you could mark me as brainliest. Thanks!

Answer:

48/10

Step-by-step explanation:

Answer:

g^2 + 4 > -5

Step-by-step explanation:

sum implies addition so add it with 4

i can’t put the equal to thing on here but there is supposed to be a line under the greater than symbol

Answer:

[tex]g\geq +/- 3i[/tex]

Step-by-step explanation:

Using clues given in the problem, we can set up a solvable inequality.

A number g squared: [tex]g^{2}[/tex]

The sum of a number g squared and 4: [tex]g^{2}+4[/tex]

Is greater than or equal to: [tex]g^{2}+4\geq[/tex]

Greater than or equal to -5: [tex]g^{2}+4\geq-5[/tex]

Isolate [tex]g[/tex]:

[tex]g^{2}\geq -9[/tex]

Solve for [tex]g[/tex]:

[tex]\sqrt{g^{2}}\geq \sqrt{-9}[/tex]

This^ looks bad because of the negative, but as I'll show you in the next step it can be split up and you will use the value [tex]i[/tex], or [tex]\sqrt{-1}[/tex].

[tex]g\geq \sqrt{9} \sqrt{-1}[/tex]

[tex]g\geq +/-3i[/tex]

I hope this helps!

Answer:

The weights of ice cream cartons produced by a manufacturer are normally distributed with a mean weight of 10 ounces and a standard deviation of 0.5 oun

It's closer to 2, so it would be rounded from 1.682 in to 2 in.

Answer:

No, its most likely 2

Step-by-step explanation:

6 is closer to 10

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Answer:9

Step-by-step explanation: im not really sure I kinda just guess and check, so like, 2/3 times 3 is 6/3 which is 2. so 6/2 is 3. 3 times 3 is nine.

Answer:

- 5/6

- 1/3

Step-by-step explanation:

Answer:

A and F

Step-by-step explanation:

5/6 and 1/3

Answer:

x

x

are

Step-by-step explanation:

For x ≥ 0, the value of f(g(x)) is x,For x ≥ 0, the value of g(f(x)) will be x and functions f and g are inverse functions.Option a from all the choices is corect.

A connection between independent variables and the dependent variable.is defined by the function.

Functions help to represent graphs and equations. A function is represented by two variables one is dependent and another one is an independent function.

The relation between them is shown as y if dependent and x is the independent variable;

Given function;

f(x) = 16x²

g(x)=(1/4)√x

For x ≥ 0, the value of f(g(x)) is found as;

f(x) = 16x²

[tex]\rm f(g(x)) = 16 (\frac{1}{4} \sqrt x) ^2\\\\ f(g(x)) =\frac{16}{16} x\\\\ f(g(x)) = x[/tex]

For x ≥ 0, the value of g(f(x)) is

g(x)=(1/4)√x

[tex]\rm g(x)=\frac{1}{4}\sqrt x \\\\ g(x ) = \frac{1}{4} \times \sqrt{16 \ x^2}\\\\ g(x) = \frac{4}{4} x \\\\ g(x) = x[/tex]

For x ≥ 0, functions f and g are  inverse functions

Let,

y=F(X)

If,

y= 16x²

x=16y²

y² = x/16

y=(1/4)√x

Hence,For x ≥ 0, the value of f(g(x)),For x ≥ 0, the value of g(f(x)) will be x and x respectively.and For x ≥ 0, functions f and g are inverse functions.

Hence, option a from all the choices is corect.

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Answer:

I don't know but do you know how to answer this:

Two similar right triangles have areas of 6 square inches and

150 square inches. The length of the hypotenuse of the smaller

triangle is 5 inches. What is the sum of the lengths of the legs

of the larger triangle?  

Answer:

:>

Step-by-step explanation:

Answer:

um ill do to cause im in algerbra

Step-by-step explanation:

$30+$150=$180

5x+105=180

5x=75

x=15

Answer:You have to buy Christmas presents for your 3 kids Samantha wants the harry potter book set 50$ Casey want the sims 4 game 40$ and your oldest kid Johnny wants the new  drone 90$.

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

correct on edge

The answer is, sin (2x)=4√21/25

Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.

Here, given that,

sin(x)=2/5

and tan(x)>0

Then, cos(x)=√21/25

tan(x)=2/√21

Now, sin (2x)=2tan(x)/1+tan²(x)

                    =0.873/1.19

                    =0.733

                    =4√21/25

To learn more trigonometry click:

https://brainly.com/question/26719838

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Answer:

12 measures

Step-by-step explanation:

Step 1:

64 : 8        Ratio

Step 2:

64 : 8 = 96 : x         Equation

Step 3:

64x = 768       Multiply

Step 4:

x = 768 ÷ 64       Divide

Answer:

x = 12

Hope This Helps :)

Answer: 3.082185x^2

Step-by-step explanation: Find the exact value using trigonometric identities

Answer:

160

Step-by-step explanation:

120/3 = 40

40 x 4 = 160

May I have brainliest please? :)

Answer:

125 boys, 90 girls and 20 adults

Step-by-step explanation:

Let the number of boys be x

Let the number of girls be y

Let the number of adults be z

If there are 235 people at the summer camp, then;

x + y+ z = 235 ..... 1

If there are 35 more boys than girls, then;

x = y + 35 .... 2

If there are 70 fewer adults than girls then;

y = z - 70

z = y - 70....3

Substitute 2 and 3 into 1;

x + y+ z = 235 ..

(y+35)+y+(y-70) =235

3y -35 = 235

3y = 270

3y/3 = 270/3

y = 90

Since x = y + 35

x = 90 + 35

x = 125

Also z = y - 70

z = 90+70

z = 20

There are 125 boys, 90 girls and 20 adults

Answer:

There are 90 girls, 125 boys, and 20 adults.

Step-by-step explanation:

Let x be the number of girls. How many boys were there?

x + 35

How many adults were there?

x - 70

We know that 235 people are at RSM summer camp. Use this to make an equation.

x + (x + 35) + (x - 70) = 235

x + x + 35 + x - 70 = 235

3x - 35 = 235

3x - 35 + 35 = 235 + 35

3x = 270

3x ÷ 3 = 270 ÷ 3

x = 90

x, x + 35, x - 70

90, 125, 20

Answer:

we kinda need to see the prism

Answer:

what is the prisim

Step-by-step explanation: