Answer:
a₂₁ = 638
Step-by-step explanation:
substitute n = 21 into the explicit formula
a₂₁ = - 2 + 32(21 - 1) = - 2 + 32(20) = - 2 + 640 = 638
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.
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.
The sum of the measures of two alternate angles of two parallel lines is 210°. Find the two angles. (they are two answers) (one of them is not 75 degrees
The measure of the angles are 105 degrees
How to determine the angles?The sum of the angles is given as 210 degree
Alternate angles are equal.
So, we have:
x + x = 210
This gives
2x = 210
Divide by 2
x = 105
Hence, the measure of the angles are 105 degrees
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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".
Find the distance between the two points rounding to the nearest tenth (if necessary).
(-7, -8) and ( -4,0)
Answer:
approximately 8.5
Step-by-step explanation:
So you can use the distance formula: [tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\[/tex] which is derived from the Pythagorean theorem because normally x2-x1 would kind of give the distance length between x2 and x1 except sometimes it would be negative which wouldn't make much sense right? but it doesn't matter because it's being squared so the value ultimately becomes positive, and the same thing goes for the y-value. the distance between x2 - x1 really represents the base and y2-y1 represents the height and then adding them together gives the hypotenuse squared which is why you take the square root over the entire thing to find the distance, since the hypotenuse is the shortest distance between two points
Now all you have to do is plug the values in to get
[tex]\sqrt{(-7 - (-4))^2 + (-8 - 0)^2}\\\sqrt{(-3)^2 + (-8)^2}\\\sqrt{9 + 64}\\\sqrt{73}\\distance \approx 8.5[/tex]
What is 7/15 turned into a decimal
Answer:
7 ÷ 15 = 0.46666666666667
Step-by-step explanation:
Answer:
0.47
Step-by-step explanation:
To turn any fraction into a decimal, we must simply divide the numerator by the denominator. 7 divided by 15 is equal to 0.466666...
If we round this number to the nearest hundredth, we get 0.47.
(-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 :)
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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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!
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
A 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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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.
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"
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
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
What is cos (A)?
Pls help!!
B
B
A
A'
D
D'
m
Consider the reflection of the trapezoid across the line
of reflection, m.
The angles of trapezoid ABCD are
the angles of trapezoid A'B'C'D'.
The side lengths of trapezoid ABCD are
A'B'C'D'.
the side lengths of trapezoid
the line segments
The line m ist
connecting the corresponding vertices of the two
trapezoids.
Transformation is a process in which the size and/or orientation of a given figure are/is adjusted. The appropriate answers are:
i. equal to
ii. congruent to
iii. the same distance to
Transformation is the process required to either increase or decrease the size of a given shape, or change the orientation of a given shape. The methods of transformation are dilation, reflection, rotation, and translation.
Dilation is the method required in resizing the size of a given figure.Reflection is a method required in flipping a given figure about a reference point or line.Rotation is a method that involves turning a given shape about a line or shape.Translation involves moving all points on a given figure in a specific direction.Thus the required statements to complete the reflection across a line as required in the question are:
i. equal to
ii. congruent to
iii. the same distance to
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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
.7bar8 into a fraction in simplest form
The number 0.7 / 8 is given by the fraction 7 / 80 when expressed in its simplest form
What is an equation?An equation is an expression that shows the relationship between two or more variables and numbers.
A fraction in its simplest terms is given as a/b, where a is the numerator and b is the denominator.
Hence:
0.7 / 8 = 7 / 80
The number 0.7 / 8 is given by the fraction 7 / 80 when expressed in its simplest form
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What are the two most important characteristics of a geographical data set that must be known before any analysis can be done
Which statement is true?
Answer:
can't see anything in this photo because this photo is not clear
Question 6 of 18
Solve px + 17 = 12 for x.
A. x=p-5
B. x = -5-p
O C. x=
29
p
O D. X--500
Answer:
x = - [tex]\frac{5}{p}[/tex]
Step-by-step explanation:
px + 17 = 12 ( subtract 17 from both sides )
px = - 5 ( isolate x by dividing both sides by p )
x = [tex]\frac{-5}{p}[/tex] = - [tex]\frac{5}{p}[/tex]
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:
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 !!
⊰________________________________________________________⊱
CαlligrαρɦγPlease help me solve this question
possible answers are 100, 90, 45, 135
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.
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.
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
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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Can y’all help me out with this one I didn’t do it right igs
Step-by-step explanation:
We have a dilation because we are multiplying the pre image by some constant,
Since dilations doesn't preserve side length, they are a non rigid motion.
According to the rule, we multiply the x values by 3 and the y values by 2.
So our new points are
A'(9,10)
B'(15,6)
C'(6,4)