The movie star's agent given the star's monthly income and the percentage the agent earns is $8,954.
How much will the agent earn?Percentage can be described as a fraction out of an amount that is usually expressed as a number out of hundred. Percentage is a measure of frequency.
Agent's earnings = 11% x $81,400 =$8,954
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Find the value of x.
х
30°
24
Answer:
Step-by-step explanation:
x is the opposite side of angle 30°
34 is the adjacent side of 30°
So, find the value of x, we have use tan
[tex]\bf \boxed{ tan \ \theta = \dfrac{opposite \ side}{adjacent \ side}}}[/tex]
[tex]tan \ 30^\circ = \dfrac{x}{24} \\\\\\0.58 = \dfrac{x}{24}\\\\\\0.58*24=x[/tex]
x = 13.92
A principal records the lunch choices for 7th grade for a day. Of the 160 students, 21 brought their lunch from home, 103 purchased lunches, and 36 brought a lunch from home and purchased an ice cream.
Are the lunch choices equally as likely? Justify your answer by calculating the probability of each lunch choice
On the number line below, the numbers a and b are the same distance from 0. What is a + b? Explain how you know.
If we start at zero and move a units to the right, and then move the same number of units to the left, we will be back at 0. We can also represent this symbolically. Since a and b are the same distance from zero but are on opposite sides of zero, we know that they are opposites, so b = -a
Answer:
If we start at zero and move a units to the right, and then move the same number of units to the left, we will be back at 0. We can also represent this symbolically. Since a and b are the same distance from zero but are on opposite sides of zero, we know that they are opposites, so b = -a.
Find the surface area of the figure.
Answer:
[tex] {108in}^{2} [/tex]
Step-by-step explanation:
to get the surface area of a pyramid you must take half of the product of the perimeter times the slant length and THEN add the area of the base to the total.
In this problem, the perimeter is 24. Slant height is 6, and area of the base is 36
1/2(24*6)+36= 108
If this answer helped you, I would appreciate it if you gave me the brainliest :D
9. The value of U.S. postage stamps increases ~5% per year. The current price is 55C. Estimate what the price will be in 20 years
Answer:
$1.46
Step-by-step explanation:
We can use the principal of compound interest to solve this with the formula:
[tex]A = P(1+\frac{r}{n})^{nt}[/tex]
where P = initial principal
r = interest rate
n = number of times applied per time period
t = time periods elapsed
In this specific case, P = 0.55, r = 0.05, n = 1, and t =20
[tex]0.55(1+\frac{0.05}{1})^{1*20} = 0.55(1.05)^{20} = 0.55(2.65) = 1.46[/tex]
What is the Pythagorean
Theorem and what’s it used for?
The Pythagorean Theorem is used to solve for the hypotenuse of a right triangle.
The formula for solving it is [tex]a^2 + b^2 = c^2[/tex], as a represents one side of the triangle, and b represents the other side. C is the hypotenuse as which we are trying to solve for.
Hakeem has a points card for a movie theater. he receives 45 rewards points just for signing up. he earns 11. 5 points for each visit to the movie theater. he needs 206 points for a free movie ticket. how many visits must hakeem make to earn a free movie ticket?
Answer:
14visists
Step-by-step explanation:
206 points= 45points + 11.5points(number of visits)
let number of visits=x
206points-45points=11.5x
161=11.5x
x=161/11.5
x=14 visits
Pls…!!!!!help…!!!I don’t get this…
The circle illustrates the theorems of angles in the same segment
The measure of angle NTS is 53°The measure of arc AB is 200°How to determine the measure of NTS?Given that:
∠SKA = 74°
The angle SKA is at the center of the circle.
This means that:
Arc AS = 74°
Calculate Arc SN using:
SN + AS = 180°
Substitute 74 for AS
SN + 74° = 180°
Subtract 74 from both sides
SN = 106°
The arc SN is subtended by the angle NTS.
This means that:
∠NTS = 0.5 * SN
So, we have:
∠NTS = 0.5 * 106°
Evaluate
∠NTS = 53°
Hence, the measure of angle NTS is 53°
How to determine the measure of arc AB?Given that:
∠BCA = (7w - 4)°
∠ADB = (5w + 20)°
Angles subtended by the same arc at the circumference are congruent.
So, we have:
7w - 4 = 5w + 20
Collect like terms
7w - 5w = 20 + 4
Evaluate
2w = 24
Divide by 2
w = 12
This implies that:
∠BCA = (7 * 12 - 4)°
Evaluate
∠BCA = 80°
The measure of arc AB is then calculated using:
AB = 360 - 2 * ∠BCA
This gives
AB = 360 - 2 * 80°
Evaluate
AB = 200°
Hence, the measure of arc AB is 200°
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The radius of a cylindrical water tank is 6.5ft, and its height is 17ft. What is the volume of the tank?
Use the value 3.14 for [tex]\pi[/tex], and round your answer to the nearest whole number.
Be sure to include the correct unit in your answer.
Answer
718.25 pi or 2,256.4489
Step-by-step explanation:
The volume formula for cylinders is V=pi * r^2 * h
So plug in your numbers!
r=6.5 h=17
pi times 6.5^2 times 17 = pi*718.25 or 2,256.4
The beginning steps for determining the center and radius of a circle using the completing the square method are shown in the table.
Step 1
[original equation]: x2 + 8x + y2 − 6y = 11
Step 2
[group like terms]: (x2 + 8x) + (y2 − 6y) = 11
Step 3
[complete the square]:
Which of the following is the correct equation for Step 3? (1 point)
(x2 + 8x + 16) + (y2 − 6y − 9) = 11 + 16 − 9
(x2 + 8x + 16) + (y2 − 6y + 9) = 11 + 16 + 9
(x2 + 8x + 4) + (y2 − 6y − 3) = 11 + 4 − 3
(x2 + 8x + 4) + (y2 − 6y + 3) = 11 + 4 + 3
Answer:
(b) (x^2 + 8x + 16) + (y^2 − 6y + 9) = 11 + 16 + 9
Step-by-step explanation:
To complete the square of a binomial, the constant term of the perfect square trinomial is the square of half the coefficient of the linear term. It will always be positive.
__
Answer Choicesa) 9 is subtracted, incorrectly
b) 16 and 9 are correctly added . . . this is the correct Step 3
c) half the linear term is added, incorrectly
d) the magnitude of half the linear term is added, incorrectly
Does the scenario describe an observational study or an experiment?
Find the volume of a cone that has a radius of 8 meters and a height of 9 meters. Use 3.14 for pi
Answer:
Volume of cone = 1/3 Area of base × height
= 1/3× πr² × h
= 1/3×3.14×8²×9
= 602.88 m³
Answer:
602.44 cubic meters[tex] \: [/tex]
Step-by-step explanation:
In the question, it is given that a cone has a radius of 8 meters and a height of 9 meters and we have to find the volume of the cone.
[tex] \: [/tex]
To Find the volume of the cone, we must know this formula :
[tex] \\{\longrightarrow{ \qquad{\underline{\boxed {\pmb{\frak { Volume_{(cone) }= \dfrac{1}{3} \: \pi {r}^{2}h }}}}}}} \\ \\[/tex]
Where,
r refers to the radius of the cone.h refers to the height of the cone.Now, we will substitute the values in the formula :
[tex] \\ {\longrightarrow{ \qquad{{ {\pmb{\sf { Volume_{(cone) }= \dfrac{1}{3} \times 3.14 \times {(8)}^{2} \times 9 }}}}}}} \\ \\[/tex]
[tex]{\longrightarrow{ \qquad{{ {\pmb{\sf { Volume_{(cone) }= \dfrac{1}{3} \times 3.14 \times 64 \times 9 }}}}}}} \\ \\[/tex]
[tex]{\longrightarrow{ \qquad{{ {\pmb{\sf { Volume_{(cone) }= \dfrac{1}{3} \times 3.14 \times 576 }}}}}}} \\ \\[/tex]
[tex]{\longrightarrow{ \qquad{{ {\pmb{\sf { Volume_{(cone) }= \dfrac{1}{3} \times 1808 .64 }}}}}}} \\ \\[/tex]
[tex]{\longrightarrow{ \qquad{{ {\pmb{\sf { Volume_{(cone) }= \dfrac{1808 .64}{3} }}}}}}} \\ \\[/tex]
[tex]{\longrightarrow{ \qquad{{ {\pmb{\frak { Volume_{(cone) }= 602.88 }}}}}}} \\ \\[/tex]
Therefore,
The volume of the cone is 602.88 m³Can someone please help me with this questions I would really appreciate it thank you !!
Answer:
C
Step-by-step explanation:
The equations in this sytem were added to solve for x. What is the value of x?
Negative 2 x + y = 8. 5 x minus y = negative 5. 3 x = 3.
x = negative 3
x = negative 1
x = 1
x = 3
The value of x would be 1.
The expected adult weight of a golden retriever puppy is 1.5w, where w is the puppy's weight at 6 months of age. Britney's 6-month-old golden retriever puppy weighs 40 pounds. What is the expected adult weight of Britney's puppy?
Answer:
60
Step-by-step explanation:
bceuase i got it right just multiply
Ion get this bro someone help I got school in a hour
Answer:
of Example 6
5 and 14
Step-by-step explanation:
IN EXAMPLE 6
Opposite angles are equal so you equate the first one like this
3x + 20 = 10x - 15
15 + 20 = 7x
35/7 = x
x = 5
In next question b
It is a straight line thus it's 180°
so 4n + 22 +8n -10 = 180
12n + 12 = 180
12n = 180 - 12
n =168÷ 12
n = 14
10^3 I need some help can someone help
Answer:
1000 my friend
Step-by-step explanation:
Answer:
10³ = 1000
Step-by-step explanation:
hope this helps
can someone please help me with this question
Pls help me with this question. I don't know what I did wrong
Answer:
The first part is perfect. Fix the second inequality.
Step-by-step explanation:
The second inequality is:
4x - y > -3
Subtract 4x.
-y > -4x - 3
Multiply by -1 remember when multiplying (or dividing) by a negative number you must REVERSE the inequality symbol.
y < 4x + 3
Your line looks great, but make it dashed. And then the shading will be below the dashed line. This creates the solution set in the triangular area in the middle bottom of the graph. The point they are asking for is not the point of intersection, it is any point in the bottom triangle, which is the doubly shaded solution set area. Use (0, -5) for example.
4/8 + 8 7/8 (this is fractions)
Answer:
9 3/8 as a fraction or 9.375 as a decimal
Step-by-step explanation:
4/8 + 8 7/8 = 75/8= 9 3/8= 9.375
round 7.430499778 to the nearest millionth
The graph of the function f(x)=x^2-6x shifted 2 units to the left on the graph of g(x). Select the two functions that represent the shift of f(x) onto g(x)
I need this answered please I’m in a rush
Answer:
-8, -2, 4, 10
Step-by-step explanation:
Plug the x value into the function.
2(-6)+4 = -8
and so on for all of the values in the table.
Answer:
y = 2(-6) + 4
y = -12 + 4
y = -8
y = 2(-3) + 4
y = -9 + 4
y = -5
y = 2(0) + 4
y = 0 + 4
y = 4
y = 2(3) + 4
y = 6 + 4
y = 10
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Devaughn is 7 years older than Sydney. The sum of their ages is 103. What is Sydney's age?
103-7 = 96 then 96/2 = 48 so we can say that Sydney is 48 and devaughn is 48+7 = 55 years old.
Therefore, Sydney is 48 years of age.
Jerry hiked along a path. From his starting position, he hiked downhill to a valley where the elevation dropped 25 meters below his starting position. Then, he hiked up to a hill that was 40 meters higher than the valley.
The following equation describes this situation.
-25 + 40 = 15
CHOOSE 1 ANSWER
1. Jerry hiked a total of 15 meters
2. the hill was 15 meters higher than the elevation of his starting point
3. None of the above
Answer:
15 represents where Jerry is after the elevation dropped 25 meters and then rose 40 meters.
Step-by-step explanation:
It's given that Jerry hiked downhill to a valley where the elevation dropped 25 meters below his starting position. Then, he hiked up to a hill that was 40 meters higher than the valley
Hiked downhill = 25 meters
Hiked up = 40 meters
The given equation is
Here, hiked downhill represented by negative sign and hiked up resents by positive sign.
So, 15 represents that Jerry hiked up 15 meters from his starting position.
(2, the hill was 15 meters higher than the elevation of his starting point)
Answer:
2.
Step-by-step explanation:
The hill was -25 + 40 = 15 meters highe than starting point.
Answer QUICK! FOR 25 POINTS. First, determine the range of the data without the outlier.
Then, determine the range of the data with the outlier.
Finally, make a conclusion about the effect of an outlier on range.
How Much Did It Rain Last Spring?
A number line labeled number of days each week ranges from 0 to 7 in increments of 1. It is titled how much did it rain last spring? Data are: 0, 1; 3, 3; 4, 3; 5, 3; 6, 2; 7, 1.
Number of Days Each Week
CLEAR CHECK
The range without the outlier is days.
The range with the outlier is days.
When we add an outlier, the range will never , but it may .
Answer:
12
Step-by-step explanation:
hope it helps
Answer:
Its 12
Step-by-step explanation:
The standard trampoline has a diameter of 14 feet. What is its area?
Answer:
The area is 154 square feet
Step-by-step explanation:
which decimal is equalient to 24 out 30 days
A fruit company delivers its fruit in two types of boxes: large and small. Delivery of 8 large boxes and 4 small boxes has a total weight of 173 kilograms. Delivery of 3 large boxes and 2 small boxes has a total weight of 68 kilograms. How much does each type of box weigh?
Weight of each large Box: ?
Weight of each Small Box: ?
Answer:
x = 18.5 (large) , y = 6.25 (small)
Step-by-step explanation:
Let's start by assigning variables to each type of box.
The large box we will call "x"
The small box we will call "y"
We know that 8x + 4y = 173 (kilograms)
And 3x + 2y = 68 (kilograms)
Since we set up a system of equations, we can now use elimination, by multiplying the entire bottom equation by -2, to get rid of the "y" variable.
8x + 4y = 173
3x(-2) + 2y(-2) = 68(-2)
-6x + -4y = -136 (side note: notice how the "y"'s would cancel each other out because -4y + 4y equals 0)
Add equations together:
2x = 37
x= 18.5
Now that we have x, just substitute it into any of the equations to get y.
You will see that y = 6.25
Please mark this brainliest, and I hope this helps!
completing the square k^2-2k-8=0
[tex]~~~~k^2-2k-8=0\\\\\implies k^2 - 2k +1^2-1-8=0\\ \\\implies ( k-1)^2-9=0\\\\\implies (k-1)^2-3^2 =0\\\\\implies (k-1-3)(k-1+3)=0\\\\\implies (k-4)(k+2)=0\\\\\implies k=4,~~ k= -2[/tex]