Answer:
The third choice.
Step-by-step explanation:
This is a linear function.
The equation is y = (x - 5)(5x + 4) - 5x^2.
y = 5x^2 - 25x + 4x - 20 - 5x^2
y = 5x^2 - 5x^2 - 21x - 20
y = -21x - 20
That means this is a linear function, with a linear term of -21x and constant term of -20.
Hope this helps!
Answer:
Step-by-step explanation:
Hi someone please help me I'm not sure how to do thissss
If the longer base of triangle XYZ is three times the length of the shorter base, a, what is the length of the hypotenuse in terms of the shorter base?
Answer: The length of the hypotenuse is √(10)*a
Step-by-step explanation:
Remember the Pythagorean theorem.
If b is the larger base, and a the shorter base, and H is the hypotenuse:
a^2 + b^2 = H^2
now, we know that b = 3*a.
(3*a)^2 + a^2 = H^2
10*a^2 = H^2
√(10)*a = H
Then we have the length of the hypotenuse in terms of the shorter base, B.
Can u guys PLEASE answer this question ASAP. if y= (a+2)x+7 is parallel to y=3x-4, find the value of a
Answer:
a = 1
Step-by-step explanation:
The factor in front of x must be the same in both equations.
So (a+2) in the first must be 3 (like it is in the second).
That is the case when a=1.
So the +7 and the -4 are not relevant!
Please help me. 10 points
Simply t^12/t^6
Answer:
The answer is option B
Step-by-step explanation:
t^12/t^6
Use the rules of indices.
Since they have the same base and they are dividing we subtract the exponents.
That's
t^12 - 6
= t^6
Hope this helps you
Answer:
[tex] {t}^{6} [/tex]Option B is the right option.
Solution,
[tex] \frac{ {t}^{12} }{ {t}^{6} } \\ = {t}^{12 - 6} \\ = {t}^{6} [/tex]
Explanation:
To divide expression with same base, we copy the base and subtract the indices.
Hope this helps...
Good luck on your assignment..
HELP PLZZZZZZZZZZ!!!!!!!!!
Here are the 30 best lifetime baseball batting averages of all time, arranged in
order from lowest to highest:
0.329, 0.330, 0.331, 0.331,0.333, 0.333, 0.333, 0.334, 0.334, 0.334, 0.336,
0.337, 0.338, 0.338, 0.338, 0.340, 0.340, 0.341, 0.341, 0.342, 0.342, 0.342,
0.344, 0.344, 0.345, 0.346, 0.349, 0.356, 0.358, 0.366
A stemplot is one way to display these batting averages, as shown below. In
this type of display, the entry 0.3616 denotes one occurrence of the batting
average
0.3219
0.33 011 3 3 3 4 4 4-6 7 8 8 8
0.34 100 1 1 2 2 2 4 4 5 6 9
0.35 168
0.3616
JEET
O A. 0.360
OB. 0.336
O C. 0.3606
O D. 0 366
Answer:
D. 0.366
Step-by-step explanation:
Hello!
A stemplot is a way of arranging a data set.
In the stem you'll find the integer and first two decimal digits of the batting average, because these values are repeated several times.
In the leafs you'll find the third decimal digit.
So for the first value of the stem "0.32" there is only one observation:
0.329 ⇒ 0.32 | 9
For the second value "0.33" correspond 14 observations: 0.330, 0.331, 0.331,0.333, 0.333, 0.333, 0.334, 0.334, 0.334, 0.336, 0.337, 0.338, 0.338, 0.338
0.33 | 0, 1, 1, 3, 3, 3, 4, 4, 4, 6, 7, 8, 8, 8
For the third value "0.34" correspond 12 observations: 0.340, 0.340, 0.341, 0.341, 0.342, 0.342, 0.342, 0.344, 0.344, 0.345, 0.346, 0.349
0.34 | 0, 0, 1, 1, 2, 2, 2, 4, 4, 5, 6, 9
For the fifth value "0.35" and the sixth value "0.36" there is only one observation, so, as happened with the first one, these values of the stem will only have one "leaf"
0.358 ⇒ 0.35 | 8
0.366 ⇒ 0.36 | 6
So the whole stem plot for this 30 observations is:
Stem | Leafs
0.32 | 9
0.33 | 0, 1, 1, 3, 3, 3, 4, 4, 4, 6, 7, 8, 8, 8
0.34 | 0, 0, 1, 1, 2, 2, 2, 4, 4, 5, 6, 9
0.35 | 8
0.36 | 6
Considering this, the correct option is D
I hope this helps!
In the diagram, ∠ADE ≅ ∠ABC. The ratios and are equal.
Answer:
[tex]\frac{AD}{AB} = \frac{AE}{AC} = \frac{DE}{BC}[/tex]
Step-by-step explanation:
According to the given situation, as we know that the triangle which is ADE and triangle which is ABC are the same
. (as in the diagram)
So, the ratio of their corresponding sides are the same or an equal so that it can be reached at the truth which is here below:
[tex]\frac{AD}{AB} = \frac{AE}{AC} = \frac{DE}{BC}[/tex]
With the help of a diagram, we can better understand which has been attached.
The ratios AD : DB and AE : EC are equal.
What is the height, x, in the triangle below? A. 2√5 B. 5 C. 5√2 D. 10
Answer:
D:10
Step-by-step explanation:
find hyp. first
sin 45=opp/hyp.
√2/2=10/hyp.
hyp.=20/√2 0r 10√2
Pythagorean theorem: a²+b²=c²
now find x²=(10√2)²-10²
x²=200-100
x²=100
x=√100=10
The difference in the x-coordinates of two points is 3. and the difference in the y-coordinates of the two points is 6
What is the slope of the line that passes through the points?
2
3
6
9
Answer:
slope = difference in y / difference in x
slope = 6/3 = 2 <===
Tyrone played 18 holes of golf and had the same score on each of the first 14 holes. He then had the same score on each of the next four holes. His score on the first 14 holes was –42 and his final score was –34. Which describes Tyrone's score on each hole?
Complete Question :
In golf, a score below zero is “under par” and a score above zero is “over par.”
Tyrone played 18 holes of golf and had the same score on each of the first 14 holes. He then had the same score on each of the next four holes. His score on the first 14 holes was –42 and his final score was –34. Which describes Tyrone’s score on each hole?
A. He scored 3 under par on each of the first 14 holes and 2 over par on each of the next four holes.
B. He scored 3 under par on each of the first 14 holes and 2 under par on each of the next four holes.
C. He scored 3 under par on each of the first 14 holes and 4 over par on each of the next four holes.
D. He scored 3 under par on each of the first 14 holes and 4 under par on each of the next four holes.
Answer: A. He scored 3 under par on each of the first 14 holes and 2 over par on each of the next four holes.
Step-by-step explanation:
Given that :
a score below zero is “under par” and a score above zero is “over par.”
Same score on each of the first 14 holes
Total score on first 14 holes = - 42
Therefore, score on each hole = ( total score / number of holes)
= - 42/14 = - 3
Negative signifies that it is 'under par'
Score on each of the next four holes is also the same.
Therefore, total score on next four holes :
(final score - total score on first 14 holes)
(-34 - (-42))
(-34 + 42) = 8
Total score on next four holes = 8
Score on each hole = 8/4 = 2
Positive score means he scored over par
Answer:
a
Step-by-step explanation:
I did quiz
A store carries four brands of DVD players, J, G, P and S. From past records, the manager found that the relative frequency of brand choice among customers varied. Using the given probability values for each of the four brands, find the probability that a random customer will choose brand J or brand P.
Answer:
The answer is below
Step-by-step explanation:
A store carries four brands of DVD players, J, G, P and S. From past records, the manager found that the relative frequency of brand choice among customers varied. Using the given probability values for each of the four brands, find the probability that a random customer will choose brand J or brand P.
P(J)=0.22, P(G)=0.18, P(P)=0.35, P(S)=0.25
Answer: Probability is the ration of possible outcomes to the total number of possible outcomes. The probability of mutually exclusive events i.e. events that cannot occur at the same time is the sum of their individual probabilities. If two events A and B are mutually exclusive events, then:
P(A or B) = P(A) + P(B)
Given that P(J)=0.22, P(G)=0.18, P(P)=0.35, P(S)=0.25, the probability that a random customer will choose brand J or brand P is given by:
P(J or P) = P(J) + P(P) = 0.22 + 0.35 = 0.57
please answer this.....
Answer:
Step-by-step explanation:
10)a) Let the number = x
4x + 8 = 16
Subtract 8 form both sides
4x + 8 - 8 = 16 - 8
4x = 8
Divide both sides by 4
4x/4 = 8/4
x = 2
The number is 2
b) Let the number = x
4x - 8 = 6
Add 8 to both sides
4x - 8 + 8 = 6 + 8
4x = 14
Divide both sides by 4
4x/4 = 14/4
x = 3.5
The number is 3.5
11) a) Increase in cost = 105 - 100 = $ 5
b) Percentage increase = [tex]\frac{5}{100}*100[/tex]
= 5%
12) Number of girls = 35
Number of girls wearing glasses = 15
Number of boys = 40
Number of boys wearing glasses = 10
a) Percentage of boys wearing glasses = [tex]\frac{10}{40}*100\\[/tex]
= 25%
b) Percentage of girls wearing glasses = [tex]\frac{15}{35}*100[/tex]
= 42.86%
c) Total children = 35 +40 = 75
Total children wearing glasses = 15 + 10 = 25
Percentage of children wearing glasses = [tex]\frac{25}{75}*100[/tex]
= 33.33%
There are currently 3000 in the state of Colorado their population is increasing at a rate of 2% per year how many years will it be before there are 6000 moose in the state of Colorado. Round your answer to the nearest year
Answer:
50 years
Step-by-step explanation:
the answer is 50 years bc 2% of 3000 is 60 and to get to 300 from 60 you would multiply by 50 to get 3000 added to the populationg colorado has now you get 6000.
brainliest pls
A palindrome is chosen at random from the list of all $6$-digit palindromes, with all entries equally likely to be chosen. (Recall that a palindrome is a positive integer that reads the same forward and backwards, such as $387783$. Note: Since these palindromes are being thought of as numbers, rather than simply strings of digits, it is to be understood that the leading digit, the digit in the hundred-thousands place, must be nonzero.) What is the expected value of the chosen number?
Answer:
Expected value 550,000
Step-by-step explanation:
Calculation of the expected value of the chosen number
We should know that each of the digit of the number may likely be thought of what we called a random variable, in which the first digits and the last digits comes uniformly from [1,2,3,4,5,6,7,8,9] while the last digit can't be 0 because of what we called the palindrome condition).
Therefore each of these two digits will have an expected value of 5 while the other four digits will come uniformly from this digits which are [0,1,2,3,4,5,6,7,8,9] in which each of the digits will have an expected value of 4.5.
Thus Expected value is additive, which means we have to also take place the value into account.
Now let find the EXPECTED VALUE
The expected value will be :
(100,000+1)⋅(5)+(10,000+1,000+100+10)⋅(4.5)
Expected value=550,000
Therefore the Expected value will be 550,000
It takes 20 minutes for 5people to paint 5 walls. How many minutes does it take 9 people to paint 9walls?
Answer:
20 minutes.
Step-by-step explanation:
Since it takes 5 people to paint 5 walls 20 minutes, that means that it would take 1 person 20 minutes to paint 1 wall. That also means that 2 people would take 20 minutes to paint 2 walls. So, it would take 9 people 20 minutes to paint 9 walls.
Hope this helps!
Which statement is true of rectangles Y and Z?
Rectangle Y has a length of 6 and width of 4. Rectangle Z has a length of 4 and width of 3.
Answer:
Rectangle Y has a length of 6 and width of 4
Step-by-step explanation:
Just did it
Answer:
Not too sure, but I think it's D.
Step-by-step explanation:
the leg of a right triangle is 4 units and the hypotenuse is 9 units. what is the length in units of the other leg of the triangle?
Because a squared + b squared = c squared, and we know that the hypotenuse is c, we can turn the equation into 9^2 - 4^2= the other leg of the triangle. This equation is equivalent to 81 - 16 = 65. Then, you have to find the square root of 65 to get the other leg which is 8.06.
Answer:
Step-by-step explanation:
Pythagorean theorem,
leg ² + leg² = hypotenuse²
leg² + 4² = 9²
leg² + 16 = 81
leg² = 81 - 16
leg² = 65
leg = √65
leg = 8.06 units
On a coordinate plane, a line goes through (negative 3, 3) and (negative 2, 1). A point is at (4, 1). What is the equation, in point-slope form, of the line that is parallel to the given line and passes through the point (4, 1)?
Answer:
y = -2x + 9
Step-by-step explanation:
(1-3)/(-2--3) = -2/1 = -2 = m
y = mx + b
1 = -2(4) + b
9 = b
y = -2x + 9
Translate the sentence into an inequality. Eight times the sum of a number and 20 is greater than or equal to 25. Use the variable y for the unknown number.
Answer:
8x + 20 ≥ 25
Step-by-step explanation:
Well 8 times the sum of a number "x" plus 20,
So we can write the following,
8x + 20
and that should be greater than or equal to 25
8x + 20 ≥ 25
Thus,
as an inequality it is 8x + 20 ≥ 25.
Hope this helps :)
In the year of disposition how is the depreciation deduction calculated for real rental property that has been depreciated using the mid-month convention?
Answer:
Step-by-step explanation:
The deductible amount will be controlled constantly in which the asset is arranged.
A certain town has two kinds of youth basketball teams. One is a school team (S) and the other is a rec team (R). On any given Saturday in December, the probability that a school team will have a game is 0.8, and the probability that a rec team will have a game is 0.7. The probability that both have games us 0.65.
On any given Saturday in December, what is the probability that either a rec team or a school team has a game?
Answer Choices:
0.65
0.7
0.8
0.85
Answer:
D. 0.85
Step-by-step explanation:
Given
Probability of S = 0.8
Probability of R = 0.7
Probability of S and R = 0.65
Required
Probability of S or R
Using probability notations;
P(S) = 0.8
P(R) = 0.7
P(S n R) = 0.65
The question requires that we solve for P(S or R)
For overlapping events S and R; the following formula is applicable.
P(S or R) = P(S) + P(R) - P(S n R)
Substitute the values of P(S), P(R) and P(S n R)
P(S or R) = 0.8 + 0.7 - 0.65
P(S or R) = 0.85
Hence, the probability that either a rec team or a school team has a game is 0.85
a) y = 5x
What happens to the value of y if the value of x doubles?
Select your answer.
A: x2
B: x5
C: divide by 2
D: divide by 5
Answer:
x2
Step-by-step explanation:
In 5x, 5 is a constant and therefore if we double x we will double 5 too.
When solving a system of equations, Jared found y = x + 10 for one equation and substituted x + 10 for y in the other equation. Nicole found x = y – 10 for the same equation and substituted y – 10 for x in the other equation. Who is correct? Explain
Answer:
They are both correct.
Step-by-step explanation:
As we can see, it does not matter whether you plug in x or y in a system of equatins. One thing somebody might be skeptical about in this equation is that one of the equations does not contain a variable. BUT, if reading closer, one can see that both x and y have to be in one of the equations to make the other true.
Hope this helped!
We will see that both Jared and Nicole are correct.
Working with systems of equations:
So we know that Jared found an equation:
y = x + 10, then he substituted y for (x + 10) on the other equation, this would be the substitution method, and Jared is correct so far.
We also know that Nicole found the equation:
x = y - 10
And she replaced x by y - 10 on the other equation, she is also correct.
So why both of them are correct?Each one just substituted a different variable, that is why they have different approaches, but in both cases the substitutions are correct.
If you want to learn more about systems of equations, you can read:
https://brainly.com/question/13729904
Which of the following are steps in practical problem solving? Solve the sentence for the variable. Assign an identifying variable to the quantity to be found. Make a guess at the value of the variable. Write a sentence stating conditions placed on the quantity. Check if the value is correct.
Answer:
A, B and D
Step-by-step explanation:
Following are steps in practical problem solving:
=> Assign an identifying variable to the quantity to be found.
=> Write a sentence stating conditions placed on the quantity.
=> Solve the sentence for the variable.
Answer:
Assign an identifying variable to the quantity to be found.
.Write a sentence stating conditions placed on the quantity.
Solve the sentence for the variable.
Wyatt solved the following equation:
x + 1/2 (6x − 4) = 6
it due today!!! I will give the first answer brainliest.
Answer:
x = 2
Step-by-step explanation:
x + 1/2 (6x - 4) = 6
Expand the brackets.
x + 3x - 2 = 6
Add like terms.
4x - 2 = 6
Add 2 on both sides.
4x = 6 + 2
4x = 8
Divide 4 into both sides.
x = 8/4
x = 2
Answer:
x=5/4
Step-by-step explanation:
Which statement is true regarding the graphed functions? A) f(4)=g(4) B) f(4)=g(-2) C) f(2)=g(-2) D) f(-2)=g(-2)
Answer:
Option (D)
Step-by-step explanation:
If the two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] are lying of the line.
Slope of the line represented by the function 'f' = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
Two points are lying on the line are (-2, 4) and (0, -2).
Slope of the line passing through these points 'm' = [tex]\frac{4+2}{-2-0}[/tex]
m = -3
Y-intercept of the line 'b' = -2 [From the graph]
Therefore, equation of the function will be,
f(x) = (-3)x - 2
f(x) = -3x - 2
Similarly, for other function represented by the line in red,
Slope of the line passing through (-6, 0) and (0, 6) = [tex]\frac{6-0}{0+6}[/tex]
m' = 1
Y-intercept of g(x) = 5 [From the graph]
Equation that represents the function g(x) = 1.x + 5
g(x) = x + 5
For g(x) = f(x)
-3x - 2 = x + 6
-3x - x = 2 + 6
-4x = 8
x = -2
Therefore, for x = -2 both the functions will have the value.
f(-2) = g(-2)
Option (D) will be the answer.
The segments shown below could form a triangle.
Answer:
B. False
Step-by-step explanation:
In order for segments to form a triangle, the sum of the lengths of the shorter two must be at least as much as the length of the longest one.
The sum of the shorter two is 6 + 5 = 11. This is not as great as 12, the length of the longest one, so no triangle can be formed.
Why does the second part of the problem cos x turns into cos x^2 explain the problem.
Step-by-step explanation:
It's not cos x^2
[tex]\cos^2x\neq\cos x^2[/tex]
----------------------------------------------
[tex]\cos x-\dfrac{\sin x\sin x}{\cos x}=\dfrac{\cos x\cos x}{\cos x}-\dfrac{\sin x\sin x}{\cos x}=\dfrac{\cos^2-\sin^2x}{\cos x}[/tex]
It's the same as
[tex]3-\dfrac{2}{3}=\dfrac{3\cdot3}{3}-\dfrac{2}{3}=\dfrac{3^2-2}{3}[/tex]
Find the volume pls
Answer:
V = 960 cm ^3
Step-by-step explanation:
The volume is given by
V = Bh where B is the area of the base
B = 1/2 bh since the base is the triangle
B = 1/2 *12*8 =48
V = 48 * 20
V = 960 cm ^3
Answer:
960 cm^3
Step-by-step explanation:
volume of prism = (area of base) * (height of prism)
This is a triangular prism, so the base is a triangle.
area of base of prism = area of triangle = bh/2
The base of the triangle is 12 cm. The height of the triangle is 8 cm.
The height of the prism is 20 cm.
volume = (12 cm)(8 cm)/2 * 20 cm
volume = 960 cm^3
Please help me on this
Answer:
A =256 cm^2
Step-by-step explanation:
The perimeter of a square is 64 cm
P = 4s where s is the side length
64 = 4s
Divide by 4
64/4 = 4s/4
16 =s
The side length is 16 cm
The area of a square is
A = s^2
A = 16^2
A =256 cm^2
Answer:
16
Step-by-step explanation:
Perimeter=64
Since there are four sides, we divide 64 by 4
64/4=16
1 side = 4 cm
Area = l x w
4 x 4 = 16
Therefore your area of the square is 16
Hope this helps!
HELP ME WITH 6 PLEASE!!!!!