Step-by-step explanation:
Radius = 14 cm
π = 22/7 (Because the value of the circle's radius is the multiples of 7).
• Perimeter :
= 2 . π . r
= 2 . 22/7 . 14
= 28 . 22/7 (Divide 28 and 7 with 7)
= 4 . 22/1
= 4 . 22
= 88 cm is the answer
2. Given the equation of a line, y = 1/5x, the slope is:
Answer:
1/5
Step-by-step explanation:
The slope-intercept form looks like [tex]y=mx+b[/tex] where b is the y-intercept and m is the slope. m is the slope because if you increase x by 1, the value y increases by m, and if you increase x by 1 again, the y-value will increase by the value of m, because it's being multiplied. b is the y-intercept since the y-intercept is when x=0 so mx will become m(0) which is just 0 leaving b by it self. In this case you have y=1/5x so if you were to start with 0 as x the value of y is 0. Now increase it by 1 so x becomes 1, the value of y becomes 1/5x, now increase it by 1 again so x becomes 2, the value of y is 2/5x, so as you can see the function is just increasing by 1/5 so that's the slope, so essentially whatever the coefficient of x is (the number in front of the variable x), is the slope
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Answer: [tex]\textsf{Slope = 1/5}[/tex]
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Given: [tex]\textsf{y = 1/5x}[/tex]
Find: [tex]\textsf{The slope of the line}[/tex]
Solution: In order to determine the slope of the line we need to see how the slope-intercept form compares to this expressions. The slope-intercept form is y = mx + b where m is the slope and b is the y-intercept. In this case we have no y-intercept therefore we do not have a b. However, our slope is equal to 1/5 as it fits perfectly with the form that was provided.
Which inequality in factored form represents the region less than the quadratic function with zeros-40 and 50 and
includes the point (-55,-75) on the boundary line?
Oy<-(x-40)(x-50)
Oys-(x+40)(x+50)
Oys-(x-40)(x-50)
Oy<(x+40) (x + 50)
Using the Factor Theorem, the inequality that represents the given region is:
[tex]y < \frac{(x + 40)(x - 50)}{21}[/tex]
What is the Factor Theorem?The Factor Theorem states that a polynomial function with roots [tex]x_1, x_2, \codts, x_n[/tex] is given by:
[tex]f(x) = a(x - x_1)(x - x_2) \cdots (x - x_n)[/tex]
In which a is the leading coefficient.
The roots are given as follows:
[tex]x_1 = -40, x_2 = 50[/tex]
Hence:
y = a(x + 40)(x - 50)
It includes the point (-55,-75), hence:
-75 = a(-55 + 40)(-55 - 50)
a = 75/(15 x 105)
a = 1/21
Hence the region less than the equation is:
[tex]y < \frac{(x + 40)(x - 50)}{21}[/tex]
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Answer:
D
Step-by-step explanation:
Find the area of a right triangle with hypotenuse 15 in. and altitude 12 in. (to the hypotenuse).
The area of a right-angle triangle is half the product of the base of the triangle and the height of the triangle. The area of the triangle is 90 units².
What is the area of a right-angle Triangle?The area of a right-angle triangle is half the product of the base of the triangle and the height of the triangle.
[tex]\rm{ Area \triangle = \dfrac{1}{2} \times base \times height\\[/tex]
For the given triangle if the hypotenuse is assumed as the base, and the altitude is assumed as the height of the triangle, then the area of the triangle will be,
Area of the triangle = 0.5 × 15 units × 12units
= 90 units²
Hence, the area of the triangle is 90 units².
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A particle is moving along a projectile path at an initial height of 80 feet with an initial speed of 112 feet per second. this can be represented by the function h(t) = −16t2 112t 80. what is the maximum height of the particle?
Answer:
276 feet
Step-by-step explanation:
The best way to do this is to complete the square, which puts the quadratic in vertex form. The vertex of a negative parabola, which is what this is, is the highest point of the function...the max value. The k coordinate of the vertex will tell us that highest value. To complete the square, we will first set the quadratic equal to 0, then move the constant over to the other side:
The rule for completing the square is that the leading coefficient must be a positive 1. Ours is a negative 16, so we have to factor out -16:
Now the next thing is to take half the linear term, square it, and then add it to both sides. Our linear term is 7, half of that is 7/2. Squaring 7/2 gives you 49/4. So we add 49/9 into the parenthesis on the left. However, we can't forget that there is a -16 out front there that refuses to be ignored. We have to add then (-16)(49/4) onto the right:
The purpose of this is to create a perfect square binomial that serves as the h value of the vertex (h, k). Stating that perfect square on the left and doing the addition on the right:
Now we finalize by moving the constant back over and setting it back equal to y:
The vertex is
That translates to "at 3.5 seconds the particle is at its max height of 276 feet".
if there are 22 successful outcomes in a sample with a size of 50, what is the sample proportion?
the price p of a new house minus a 20% down payment
Answer:
0.8p or p - 0.2p
Step-by-step explanation:
You can find the price for any house minus the down payment by writing an expression with a variable. Let p be the price of the house. If you pay 20% then the price will be lowered by 20%. You will pay as your mortgage 80% of the price. You can write it as either the expression 0.8p or p - 0.2p.
Hey, guys help me answer!
Hello and Good Morning/Afternoon
Let's take this problem step by step.
[tex]5=\frac{1}{3}(5x-15)\\ 5=\frac{5}{3}x-5\\ 5+5= \frac{5}{3}x-5 +5\\10=\frac{5}{3}x\\ 10 * 3 = 3* \frac{5}{3}x\\30=5x\\\frac{30}{5} =\frac{5}{5}x\\ 6=x\\x=6[/tex]
What did we do in this problem
we ensured that both sides remained equally balanced in valuetook everything step-by-step to make sure that there were no mistakesto check it, we can plug it back into the original equation to see if it works[tex]5=\frac{1}{3}(5(6)-15)\\ 5=\frac{1}{3} (30-15)\\5=\frac{1}{3}*15\\ 5=5 \checkmark\\[/tex]
Answer: x = 6
Hope that helps!
#LearnwithBrainly
Solution :-
⇒ 5 = 1/3 (5x - 15)
⇒ 5 × 3 = 1 (5x - 15)
⇒ 15 = 1 (5x - 15)
⇒ 15 = 1 × (5x - 15)
⇒ 15 = 5x - 15
⇒ 5x = 15 + 15
⇒ 5x = 30
⇒ x = 30 / 5
⇒ x = 6
PLEASE HELPPP ASAPP
I WILL MAKE YOU BRAINLIEST
The transformation that's illustrated in the diagram is translation.
What is transformation?It should be noted that transformation simply means the manipulation of that moves a shape from a space to another.
In this case, the transformation that's illustrated in the diagram is translation. This is the sliding of try shape across certain number of spaces.
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Please help me solve this question
possible answers are 100, 90, 45, 135
Which of the following describes the graph of {x | 2 < x < 2} ?
- just a closed circle on 2
- an open circle on 2 and arrows pointing out
- the entire number line
- no solution
Answer:
baahsuslskissisudjxnxnx
(-3 ) x ( + 3 )=( - 3) * ( - 3)= ______
2 ( - 3) * ( - 3)=
3) ( + 20 ) ( + 5) = ____
4) ( + 21 ) ( - 3 ) )= ___
5) (-2) * (+3) * (- 4) = ___
6) __ (5 + 4) = 2 * 5 + 2 * 4
7) 8 * 7 + 8 * 3 = 8 (7 + ___ )
8) 6 * 5 – 6 * 2 = 6 (__ - __)
9) 5 * 3 + 10 * 3 = 3( __ + 10)
10) 8 * 4 – 8 * 2 = ___ (4 – 2)
11) 7 ( 5 – 2 ) = 7 * ___
12) 5 (2 + 4 ) = 5 * ___
13) ( 64 8 ) 2 = ___
14) 2 * ( 9 + 1 ) = 2 * ___
15) ( 100 + 10 ) 5 = _____
16) (100 – 40 ) 10 = ____
17) – 5 * 5 = ____
18) 5 * ( -6 ) = ____
19) ( + 2 ) X ( + 3) = ___
20) ( + 6 ) X ( - 2 ) = ____
Answer:
first one is x = -1
Step-by-step explanation:
if you want me to do all of them ( which I can) then ima need more points then just 5 :)
What is the correct slope-intercept form of the equation y+4=2(x−3)?
Answer:
y = 2x - 10
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
given
y + 4 = 2(x - 3) ← distribute the parenthesis
y + 4 = 2x - 6 ( subtract 4 from both sides )
y = 2x - 10 ← in slope- intercept form
Jorge worked 6 hours of overtime this week but has decided to take time off instead of overtime pay. How many hours will Jorge receive in time off from work
Jorge will receive 9 hours in time off from work.
How many hours will Jorge get to take time off?
It is given that, Jorge has done overtime for 6 hours in this week. As per the Fair Labor Standards Act, for 6 hours of overtime work, he must be paid one and a half times the pay he gets per hour.
Instead of receiving an overtime pay for working 6 hours extra, Jorge decides to receive paid leaves from work, that is, he will get one and a half of the total hours for which he worked overtime.
As a result, the time off he receives from work = [tex]1\frac{1}{2} (6)[/tex] hours
[tex]=\frac{3}{2}(6) = 9 hours[/tex]
Thus, Jorge gets 9 hours in time off from work in return. The time that he earns for the overtime is equivalent to the pay he was supposed to receive for the overtime work.
What is Fair Labor Standards Act?
The Fair Labor Standards Act (FLSA) specifies standards for minimum wage, over-time compensation, recordkeeping, and youth employment that are applicable to workers in the private sector and in federal, state, and municipal governments.
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solve x^3 = 13. use a radical sign in your answer
⊱________________________________________________________⊰
Answer:
x=∛13Step-by-step explanation:
Take the cube root of both sides. That way, you'll get rid of the ³ next to x and leave x by itself
[tex]\large\boldsymbol{\rm{x=\sqrt[3]{13} }}[/tex]
done !!
⊰________________________________________________________⊱
CαlligrαρɦγA number is chosen at random from 1 to 25. Find the probability of selecting an even number or multiple of 13
Probability helps us to know the chances of an event occurring. The probability of selecting an even number or multiple of 13 is 13/25.
What is Probability?Probability helps us to know the chances of an event occurring.
[tex]\rm Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}[/tex]
Number of even numbers between 1 to 25 = 22
Number of multiple of 13 between 1 to 25 = 1
The probability of selecting an even number or multiple of 13 is,
Probability = (12+1)/25 = 13/25
Hence, The probability of selecting an even number or multiple of 13 is 13/25.
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136mm into cm and mm
Step-by-step explanation:
13.6 is the answer because 1cm is 10 cm
Answer:
13.6 cm
Is the second requested unit mm? The value is already in mm.
Step-by-step explanation:
Use conversion factors for the metric system.
By definition: 1cm = 10mm
We can write this as a conversion factor. Either:
1) 1cm/10mm, or
2) 10mm/1cm
We are given 136 mm. Convert that by using either conversion factor.
(136mm)*(1cm/10mm) = 13.6 cm Note how the mm unit cancels.
To use the other conversion factor, do a division:
(136mm)/(10mm/1cm) = 13.6 cm
====
136 mm is already 136 mm.
Which of the following is a root of the polynomial function below?
F(x)= x³ +3x² - 5x-4
Answer:
3
Step-by-step explanation:
jus took test
Please help ill appreciate it best answer gets the brainliest answer!!
Answer:
C
Step-by-step explanation:
because it just make sence
Answer:
McKenna runs all the way home from school ...
Step-by-step explanation:
In this distance v time graph, a negative slope means going from school to home, a positive slope means going from home to school, and a flat section means staying at a particular location without moving.
Someone please help me out
Answer:
A. y<-1/5x+1
Step-by-step explanation:
First, find the slope of the line
delta y / delta x = slope (delta means "change in", so delta y would the the change in y)
the change in y is 1, and the change in x is -5, so the slope is -1/5
we now know that the equation of the line is
y=-1/5x+1
The answer can't be c or d, because the line is dotted and not solid (solid lines signify ≥ or ≤, and dotted > and <)
To test if it is > or <, we can plug in some numbers to see if the equation is true
Right now, we have:
y[?]-1/5x+1, where "[?]" is either > or <
we see that the point 0,0 is a solution, since it is in the shaded region of the graph, because of this, we know that if we plug x=0 and y=0 into the equation, it must be true
plug in:
0[?]-(1/5)*0+1
0[?]1
clearly, [?] should be <, as 0<1
so, now that we know [?], we can replace it in our equation
y<-1/5x+1 , or "A"
What is f(-3) for the
function f(a)=-2a?-5a+4?
Answer:
13
Step-by-step explanation:
f(-3)=2(-3)-5(-3)+4. = -6+15+4= 13. f(a)=13
Points S, U, and T are the midpoints of the sides of TrianglePQR.
Triangle S U T is inside of triangle P Q R. Points S, U, and T are the midpoints of triangle P Q R.
Which statements are correct? Check all that apply.
One-halfQP = UT
One-halfTS = RQ
SU = PR
SU ∥ RP
UT ⊥ RP
Option A and D. The statements that are correct here are
1/2 QP = UTSU ║ RPHow to arrive at the statements about the midpointsIf the two points UT and QP are parallel, then UT is going to be the half of QP. This would be due to a scale factor of 1/2.
Then at a midpoint T is that of PR. SU is parallel to RP. SU is half of RP due to as scale factor of 1/2.
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Answer: A and D E2020
Step-by-step explanation:
E2020 geometry B!! :)
What is the solution of
2x + 7 ≥ or 8 - x/3 ≤ 5
Answer: Second option from the top
Step-by-step explanation:
First, we will simplify the given inequalities.
2x + 7 ≥ 1
2x ≥ -6
x ≥ -3
-
8 - [tex]\frac{x}{3}[/tex] ≤ 5
- [tex]\frac{x}{3}[/tex] ≤ 5
- [tex]\frac{x}{3}[/tex] ≤ -3
x ≥ 9
Now, we will graph them. See attached.
Please help!!!!! I’ve been stuck for like hours
[tex]10^2 + b^2=15^2\\\\100+b^2=225\\\\b^2=125\\\\b =\sqrt{125}\\\\b \approx \boxed{11.2}[/tex]
An inverse variation function has a k value of 8. Which ordered pair is on the graph of the function?
The points on the graph of the inverse variation are of the form:
(x, 8/x)
Which ordered pairs are on the graph of the function?An inverse variation function is written as:
y = k/x.
Here we know that k = 8.
y = 8/x
Then the points (x, y) on the graph of the function are of the form:
(x, 8/x).
So evaluating in different values of x, we can get different points on the graph:
if x = 1, the point is (1, 8)if x = 2, the point is (2, 4)if x = 3, the point is (3, 8/3)if x = 4, the point is (4, 2)And so on.
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What is the following product? sqrt10 x sqrt10
The product of the mathematical expression √10 · √10 is 10 option first 10 is correct.
What is an arithmetic operation?It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has a basic four operators that is +, -, ×, and ÷.
We have given a mathematical expression:
= √10 · √10
As we know,
√a² = a
or
√a×√a = a
By applying the above rule:
= √10×√10
= √10²
= 10
Thus, the product of the mathematical expression √10 · √10 is 10 option first 10 is correct.
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Why is -1 3/10 as an improper fraction -13/10? Wouldn’t it be -7/10 because -1 * 10 + 3 is -7/10?
Answer:
-13/10
Step-by-step explanation:
It wont be -7/10 because to change a mixed number to an improper fraction, we multiply the whole number by the denominator and then add this product with the numerator.
32 less than 3/7 of a number is 11/35 of that number. Find the number.
Answer:
Step-by-step explanation:
Let "a number" be x.
"3/7 of a number" means (3/7)x
"32 less" means - 32
Thus, "32 less than 3/7 of a number" means (3/7)x -32
"is 11/35 of that number" means = (11/35)x
Put these together and we get:
(3/7)x -32 = (11/35)x
(3/7)x - (11/35)x = 32 Rearrang to get the x on one side
We need to change "(3/7)x - (11/35)" so that the two terms have a common denominator.
If we multiply the first term by (5/5) [which is equal to 1], we get:
(5/5)(3/7)x or
(15/35)x
We can now write:
(15/35)x - (11/35)x = 32
(4/35)x = 32
Multiply both sides by (35/4)
(35/4)(4/35)x = (35/4)(32)
x = (35)(8)
x = 280
At a certain fast-food restaurant, 56% of customers order a chicken sandwich, 43% of customers order french fries, and 30% of customers order both a chicken sandwich and french fries. What is the probability that a randomly selected customer will order a chicken sandwich or french fries (or both items)?
The probability that a randomly selected customer will order a chicken sandwich or french fries is 36%
How to determine the probability?
The given parameters are:
P(Chicken) = 56%
P(Sandwich) = 43%
P(Both) = 30%
The required probability is:
P = P(Chicken) + P(Sandwich) - P(Both)
This gives
P = 56% + 43% - 30%
Evaluate
P = 36%
Hence, the probability that a randomly selected customer will order a chicken sandwich or french fries is 36%
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The triangular region is rotated around the X-axis. What are the name and dimensions of the solid that is created from the rotation
Answer:
coneradius 8 unitsheight 6 unitsStep-by-step explanation:
The attached image shows the figure of rotation generated by rotating a triangular shape about the x-axis.
ShapeWhen the given line is rotated about the x-axis, each point on the line traces a circle in the y-z plane. Those together will make a cone shape. The radius of the circle is the distance of the point from the x-axis.
DimensionsThe base of the cone will be the circle obtained by rotating the y-intercept about the x-axis. As above, the radius of that circular base is the y-value of the y-intercept: 8 units.
The height of the cone will be the x-value of the point where the radius is zero, at x=6.
The cone has a height of 6 units and a radius of 8 units.
Would mean a lot if you could help me out don’t answer it if you don’t know the answer
Answer: x = 15
Step-by-step explanation:
Hi!
These are supplementary angles, which means they both add up to 180°
Therefore,
9x+10 + 1x + 20 = 180
to solve, combine like terms
10x + 30 = 180
Then subtract 30 from both sides
10x = 150
now divide 10 from both sides leaving x by itself
x = 15
Hope this helps and have a nice day!
Answer: x = 15
Step-by-step explanation:
Hi!
These are supplementary angles, which means they both add up to 180°
Therefore,
9x+10 + 1x + 20 = 180
to solve, combine like terms
10x + 30 = 180
Then subtract 30 from both sides
10x = 150
now divide 10 from both sides leaving x by itself
x = 15
Hope this helps and have a nice day!