Answer: The answer is 525.
Step-by-step explanation:
7*(5)^2*(3)= 525
Find the value of x in the triangle
Answer:
x=32 degrees
Step-by-step explanation:
a triangle sum up to 180 degrees.
to find x
42+ x+106 =180
Subtract the numbers to let x stand on its own
x= 180 - 106- 42
x=32
Answer:
32⁰
Step-by-step explanation:
By angle sum property :
106 + 42 + x = 180
x = 180 - 148
x = 32⁰
The rectangle below has an area of x^2-9x
2
−9x, squared, minus, 9 square meters and a width of x-3x−3x, minus, 3 meters.
What expression represents the length of the rectangle?
Answer:
(x+3)m
Step-by-step explanation:
Area of a rectangle = Length × width
Given the area = (x²-9)m²
Width = (x-3)m
Length of the rectangle = Area/Width
Length of the rectangle = x²-9/x-3
= x²-3²/x-3
Note that according to different of two square, a²-b² = (a+b)(a-b)
Therefore x²-3² = (x+3)(x-3)
Length of the rectangle
= (x+3)(x-3)/x-3
= x+3
The length of the rectangle is (x+3)m
The expression representing the length of the rectangle is (x - 3) meters.
To find the length of the rectangle, you need to divide the given area by the width.
In this case, the area of the rectangle is represented by the expression x^2 - 9x, and the width is represented by the expression x - 3.
So, you can find the length by dividing the area by the width:
Length = Area / Width
Length = (x^2 - 9x) / (x - 3)
Now, let's simplify this expression. You can factor the numerator:
x^2 - 9x = x(x - 9)
So, the expression for the length becomes:
Length = (x(x - 9)) / (x - 3)
Now, you can cancel out the common factor of (x - 9) in the numerator and denominator:
Length = x
Therefore, the length of the rectangle is simply x meters.
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A point is on a circle if the distance from the center of the circle to the point is equal to the:
area.
circumference.
radius.
diameter.
A point on anywhere on the circumference of a circle that is distant from the center of the circle equals the: radius.
What is the Radius of a Circle?The radius of a circle is the distance from the center of a circle from any point on the circumference of the circle.
Therefore, any point that is on a circle with the distance to the center of the circle equals: C. radius.
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The two right triangular prisms are similar solids.The scale factor of the larger prism to the smaller prism
is 3/2. How do the volumes compare?
Answer: last one
Step-by-step explanation:
Did it
Answer:
c
Step-by-step explanation:
just did it
A gumball machine contains 24 cherry gumballs, 5 apple gumballs, 18 grape gumballs, 14 orange gumballs, and 9 licorice gumballs. What is the probability of getting an orange gumball?
Answer:
1/5
Step-by-step explanation:
First find out how many gumballs there are in total. In this case, 70. Then see how many there are of the thing you are trying to find the probability of getting, in this case, 14. Finally see how many times the smaller goes into the larger, in this case, 5. There is a 1 in 5 chance, also known as 20%
Answer:
20% or 1/5
Step-by-step explanation:
24 + 5 + 18 + 14 + 9 = 70
14/70 = 1/5 = 0.2 = 20%
Ginny has a package of 80 cards. There are 40 yellow cards
and 40 red cards.
If she randomly picks 4 cards, how many cards should she
expect to be yellow?
Answer:
8?
you gotta do the math.
please help (:
Izzy manages the school baseball and softball teams. Part of his job is taking care of equipment and recording statistics about the players.
1. Izzy orders gloves for the 36 players on the teams combined.
Izzy estimates that 10% of the players are left-handed, so he orders 3 left- handed gloves. Is that enough? Explain.
Answer:
Hence the order of gloves(3) is less that actual number of left handed player(4) in team.
Step-by-step explanation:
Given:
Total players =36 i.e they need total of 36 gloves with as per dominant hand
(Left or Right)
She ordered 3 gloves for left handed players.
And there are 10 % player which are left handed.
To Find:
Is ordered gloves are enough ?
Solution:
Given, that only 10 % of 36 are left handed.
Left handed player in team=10% of 36
[tex]=(10/100)*36[/tex]
=0.1*36
=3.6
For Rounding off figure ,nth place after decimal is greater that half i.e 5(here it is 6) so add one in next place
i.e Using significant figures 3.6 is approximately equals to 4
And the Total ordered gloves are , less than the actual number of left handed players.
Final answer:
Izzy needs to order at least 4 left-handed gloves for the 36 players, as 10% of 36 is 3.6, which rounds up to 4. Ordering only 3 gloves would not be sufficient.
Explanation:
Izzy is responsible for ordering gloves for baseball and softball teams with a total of 36 players. Since 10% of the players are left-handed, Izzy would need to calculate 10% of 36 to determine the number of left-handed gloves required. The calculation would be 0.10 × 36, which equals 3.6. Since you can't have a fraction of a glove, Izzy would need at least 4 left-handed gloves to accommodate all the left-handed players. Therefore, ordering only 3 left-handed gloves is not enough.
What does b equal in this equation 3=3/4(b-8)
Look at the attached picture⤴
Hope it will help u....:)
What is the growth factor of y=70(2)^x
Answer:
100% growth rate or it doubles
Step-by-step explanation:
This is of the form
y = ab^x
where a is the initial value and
b is the growth/decay factor
b>1 growth
b<1 decay
Since b>1 it is growth
We determine the growth rate by
b-1
2-1 =1
Multiply by 100%
1*100% = 100 % growth rate
QueSLIUI
A friend asks to borrow $250 for 18 months and agrees to pay 12% annual simple interest. How much interest will you
earn?
Round your answer to the nearest dollar.
Provide your answer below:
Answer:
$90 of interest will be earned.
Step-by-step explanation:
We are given the following in the question:
Principal,P = $250
Time, T = 18 months = 3 years
Rate, R = 12% = 0.12
Formula for simple interest:
[tex]I =\dfrac{P\times R\times T}{100}[/tex]
Putting values, we get,
[tex]I =\dfrac{250\times 12\times 3}{100} = \$90[/tex]
Thus, interest of $90 will be earned.
Translate
2
3
y − 9 < y + 1 into a sentence.
Answer:
nine subtracted from y is lesser than 1 added to y
graphing rational functions
1
The horizontal asymptote is at y=4, shown by the green dashed line. This indicates the behavior of the function as x becomes very large in magnitude.
The blue dot marks the y-intercept at (0,6).
To find the graph that represents the function [tex]\( f(x) = \frac{2}{x-1} + 4 \)[/tex], let's analyze its characteristics step by step:
1. Identify the Type of Function
The function [tex]\( f(x) = \frac{2}{x-1} + 4 \)[/tex] is a rational function, specifically a transformed version of the reciprocal function.
2. Vertical Asymptote
The denominator [tex]\( x - 1 = 0 \)[/tex] gives the vertical asymptote, which is [tex]\( x = 1 \)[/tex]. This means the graph will approach but never touch the line [tex]\( x = 1 \)[/tex].
3. Horizontal Asymptote
For large values of x, the term [tex]\( \frac{2}{x-1} \)[/tex] approaches zero. Thus, the horizontal asymptote is determined by the constant term, which is [tex]\( y = 4 \)[/tex].
4. Y-Intercept
To find the y-intercept, set [tex]\( x = 0 \)[/tex]:
[tex]\[ f(0) = \frac{2}{0-1} + 4 = 2 + 4 = 6 \][/tex]
So, the y-intercept is at (0, 6).
5. Behavior around Asymptotes
As x approaches 1 from the left, [tex]\( f(x) \)[/tex] goes to negative infinity.As x approaches 1 from the right, [tex]\( f(x) \)[/tex] goes to positive infinity.6. Additional Points
It might be helpful to calculate the function's value at a couple of additional points for a more accurate graph. For instance, calculate [tex]\( f(2) \)[/tex] and [tex]\( f(-1) \)[/tex].
7. Sketching the Graph
Considering these characteristics, the graph:
Has a vertical asymptote at [tex]\( x = 1 \)[/tex].Has a horizontal asymptote at [tex]\( y = 4 \)[/tex].Passes through the y-intercept at (0, 6).Shows the function going to negative infinity as x approaches 1 from the left and to positive infinity as x approaches 1 from the right.Here is the graph of the function [tex]\( f(x) = \frac{2}{x-1} + 4 \)[/tex]. As analyzed:
(Graph is give below)
It has a vertical asymptote at x=1, represented by the red dashed line. The function goes to negative infinity as x approaches 1 from the left and to positive infinity as x approaches 1 from the right.
The complete question is here:
Which graph represents the function [tex]$f(x)=\frac{2}{x-1}+4$[/tex] ?
Question 5: The top 5% of the 4,200 students at your college will receive a
$200 tuition refund. How many students will receive the refund?
What is 10% of 4200?
Your answer
How many students will receive the refund?
Your answer
Answer:
2,100 students will receive the funds.10% of 4200 is 420.
Step-by-step explanation:
Help !!!!!!!!!!!!!!!!!!!!!!
Answer with a complete sentence. Eric and Jan leave their house at one o-clock, following the same route. Jan walks at a steady pace of 4 mph. Eric walks at a leisurely 2 mph for 2 hours, and then jogs at 6 mph. When will he catch up with her?
Answer:
4h = 4 + 6(h - 2)
4h = 4 + 6h - 12
4h = 6h - 8
2h = 8
h = 4 hours
Eric will catch up with Jan at 5:00.
Are the following linear, quadratic, or exponential?
Factor using the GCF 5x -15???
Answer:
the greatest common factor here is 5, because 5 is it's own biggest number that is a factor of 15. so factoring this problem using 5 (gcf), would leave you with 5(x-3) because you divided each number by the gcf (5)
find the area of the shaded region. use 3.14 for pi.
Answer:
[tex]18 0 - 60 = 120 \\ \\ \frac{120}{360} \times \pi {r}^{2} \\ \frac{1}{3} \times 3.14 \times 4 \times 4 \\ = 16.75 {u}^{2} [/tex]
Answer B is correct.
A cylinder has height 10 cm and volume 42 cm'. An enlargement of the
cylinder has height 25 cm. Calculate the volume of the enlarged cylinder.
ANSWER:
Johnny paid $19 for a pair of jeans. It was originally $33. What percent discount did he receive?
Answer:
Approximately 42.42%
Step-by-step explanation:
If you subtract 42.42% from 33 it equals approx 19.
what is the coordinate if (2,2) is reflected over the line x=2
Answer:
-2,2
Step-by-step explanation:
ANSWER ASAP WILL GIVE BRAINLIEST
Answer:OC=10 did pythogrean
The angle is 36.9 or 37 rounded sin-1= 6/10
Step-by-step explanation:
It took a submarine 30 seconds to sink 225 feet, moving at a constant speed. The captain wants to know the submarine's speed.
What is a submarine's speed in feet per second?
Answer:
Dont count me if I'm wrong but if you divide 225 by 30 you get 7.5
So your answer should be 7.5
Step-by-step explanation:
The submarine's speed in feet per second is 7.5 feet per second.
Explanation:The submarine's speed in feet per second can be calculated by dividing the distance traveled by the time taken. In this case, the submarine sank 225 feet in 30 seconds, so its speed would be 225 feet / 30 seconds = 7.5 feet per second.
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A tile store charges $607.50 to install 135 square feet of tile. Assuming they charge the same rate
per square foot regardless of the amount of tile installed, how much would they charge to install
840 square feet of tile?
Translate to a proportion:
square feet
square feet
They would charge
to install 840 square feet of tile.
The unit price for installation per square foot of tile is
Answer:
the tile is 4.50 per square foot to install
it will cost 3780.00 to install 840 square feet
Step-by-step explanation:
divide 607.50 by 135 to find out the price per square foot to install
multiply the price per square foot by the number of square feet you are installing so 4.50 X 840
-7 + 3 (-4c -3) equivalent expressions
Answer:
-12c - 16
Step-by-step explanation:
[tex] - 7 + 3( - 4c - 3) \\ = - 7 + 3 \times ( - 4c) + 3 \times ( - 3) \\ = - 7 - 12c - 9 \\ = - 16 - 12c \\ = - 12c - 16[/tex]
On a separate sheet of paper graph the following function. In the answer box describe the function.
f(x) = 2[x] – 3
Answer:
Answer
Step-by-step explanation:
The function is a greatest integer function, which is a step function.
The function f(x) = 2[x] - 3 features a step-like graph due to the floor function [x]. To graph it, calculate f(x) for integer values, plot the points, and draw horizontal lines between them. The function's range in this context is specified to be between 0 and 20.
Explanation:The function given is f(x) = 2[x] - 3, where [x] denotes the greatest integer function, also known as the 'floor' function, which returns the greatest integer less than or equal to x. This type of function creates a step-like graph. When graphing this function, you'll notice that for every integer value of x, the function will take on a constant value until the next integer is reached, at which point it will jump up to the next 'step'.
To graph this function, you should first calculate the values of f(x) at various integer points within the given range. Then plot these points on a coordinate plane and create horizontal lines to represent the function's value between each pair of consecutive integer x values. For non-integer values of x, the function value will be based on the floor of x. Label your graph with f(x) and x. Make sure to scale the x and y axes with the maximum values, considering that in this case we are dealing with 0 ≤ x ≤ 20.
in circle K, points A, B, and C lie on the circle. Which of the following would not be a chord of the circle?
(1) AC
(3) KC
(2) BC
(4) AB
(3) KC
Step-by-step explanation:
This is because KC would be a radius and a radius has one end point on the circle while the other is inside. Chords would have both endpoints on the circle.
Final answer:
The segment KC is not a chord of circle K because the center of a circle is not on the circumference, thus KC does not connect two points on the circle's edge like AC, BC, and AB.
Explanation:
A chord in a circle is defined as a line segment with both endpoints on the circle. Given a circle K with points A, B, and C on its circumference, the line segments AC, BC, and AB would all be considered chords of circle K, because they connect two points on the circle's circumference. However, KC cannot be a chord because point K is described as the center of the circle, not a point on its circumference.
look at these equations:
A = B+12 B = C+4
Write an equation to show the relation ship between A and C
Answer:
A = C + 16
Step-by-step explanation:
Given
A = B + 12 and B = C + 4, then substitute B = C+ 4 into A, that is
A = C + 4 + 12
A = C + 16
An object is launched directly in the air at a speed of 32 feet per second from a platform located 8 feet in the air. The motion of the object can be modeled using the function f(t)=−16t2+32t+8, where t is the time in seconds and f(t) is the height of the object. How long, in seconds, will the object be in the air before hitting the ground? Round your answer to the nearest hundredth of a second. Do not include units in your answer.
Answer: 2.22
Step-by-step explanation:
A zip line starts 28 feet in the air and
ends 11 feet in the air. The zip line drops
at an angle of 85 degrees 85°. How long
is the zip line cable when completely
taut (no rider)?
Given:
A zip line goes from 28 feet to 11 feet in the air. The angle of depression is 85°.
To find:
The length of the zip line where there is no rider.
Solution:
A right-angled triangle can be formed using the given data.
The difference in height between the start and end of the zipline is [tex]28-11=17[/tex]. The angle of the triangle is 85°.
Assume the zip line is x feet long.
The adjacent side of the triangle measures 17 feet, the hypotenuse of the triangle measures x feet, and the angle of the triangle is 85°.
To determine x, we calculate the cos of the given angle.
[tex]cos \theta = \frac{adjacentside}{hypotenuse} .[/tex]
[tex]cos 85 = \frac{17}{x} , x = \frac{17}{cos85}, cos85= 0.0871.[/tex]
[tex]x = \frac{17}{0.0871} = 195.1779.[/tex]
Rounding this off, we get the length of the zip line when there is no rider is 195.18 feet long.
The length of the zip line when there is no rider is 195.18 feet long.
Calculation of the length of the zip line:Here the difference is
= 28 - 11
=17
And, The angle of the triangle is 85°.
Here we Assume the zip line should be x feet long.
Now
The length should be
[tex]cos\ 85 = 17\div x\\\\x = 17\div 0.0871[/tex]
= 195.18
Hence, The length of the zip line when there is no rider is 195.18 feet long.
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