Answer:
8.550
Step-by-step explanation:
the complement of an angle is 40° more than four times itself.find the supplement angle
Answer:
Supplement angle: 170°
Step-by-step explanation:
Equations
Let x=the required angle. Since complementary angles sum 90°, then 90-x is the complement of x. According to the conditions of the question:
[tex]90-x=40+4x[/tex]
Simplifying:
[tex]90-40=4x+x=5x[/tex]
Solving:
[tex]x=50/5=10[/tex]
The angle is 10°. The supplement angle is 180°-10°=170°.
Supplement angle: 170°
if y varies directly with X and Y=24 when x=6, find x when y = 32
Answer:
8
Step-by-step explanation:
if y varies with x, then they are directly proportional, so their ratio is constant (ie x divided by y is allways the same)
when x = 6, y = 24:
y / x = 4
when y = 32:
32 / x = 4
so x = 32 / 4 = 8
2, 4/3, 8/9, 16/27 whats next ?
Answer:
32/81
Step-by-step explanation: multiply the numerator by 2 and the denominator by 3.
Answer:
32/81
Step-by-step explanation:
Each term in the sequence is 2/3 of the previous one. Following that same pattern, the next term is 2/3 of the last one.
16/27 × 2/3 = 32/81
I need to see how you solve this problem.
Answer:
What is the problem? Pls follow me!2 - 2x +5 -3x + 3x + 4
Answer:
-2x+11
Step-by-step explanation:
You need to combine like terms, so combine the x terms first.
You would have
-2x-3x+3x=-2x
Then combine the like terms of the normal numbers
2+5+4=11
Answer:
-2x+11
-hope this is what you were looking for:))
Step-by-step explanation:
Can y’all help me pls
Answer:
Step-by-step explanation:
boiii this look are as a mf
what is 5 minus 4???
ik its getting harder
but im very stuck
Answer:
5-4=1
Step-by-step explanation:
it would equal 1 since 4+1=5
Answer:
YoUr AnSwEr Is EqUaL tO oNe
Step-by-step explanation:
5 MiNuS 4 eQuALs 1
79% of what number is 181
Find the value of x
Answer:
We know that the area of a triangle is:
1/2 * base * height
We are given:
base = x + 6
height = x
area = 108 m^2
Applying the formula:
Area = 1/2 * base * height
108 = 1/2 * x * (x + 6)
x² + 6x = 216
x² + 6x - 216 = 0
x² + 18x - 12x -216 = 0 (Splitting the middle term)
x(x + 18) - 12(x + 18) = 0
(x + 18) (x - 12) = 0
Hence, we have 2 possible values for x: -18 or 12
Since taking x as -18 will result in the length of sides of this triangle to be negative, -18 is NOT the value of x
Therefore, x = 12
karinne hit 4 more home runs than 1/2 the number of home runs Lu hit. Together they hit 10 home runs. Let X represent the number of home runs Lu hit. Write an equation to represent the situation
It is given that Lu hit x numbers of home run.
So, number of home run hit by Karinne is more home runs than 1/2 the number of home runs Lu hit.
So, number of home run Karinne hit is :
[tex]y = 4 + 0.5x[/tex]
Also,
[tex]x + y = 10[/tex]
Solving above two equation, we get :
x + ( 4 + 0.5x ) = 10
1.5x + 4 = 10
1.5x = 6
x = 4
Therefore, number of home run hit by Lu is 4.
Hence, this is the required solution.
Creating a mathematical expression using the scenario described, the expression which represents the total number of home runs is 1.5x + 4 = 10
Total Number of home runs :
(1/2)x + 4 + x = 10
1.5x + 4 = 10
1.5x = 10 - 4
1.5x = 6
x = 6/1.5
x = 4
Therefore, the equation which represents the situation is 1.5x + 4 = 10
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Method of Least Squares, Evaluation of Cost Equation Lassiter Company used the method of least squares to develop a cost equation to predict the cost of moving materials. There were 80 data points ft the regression, and the following computer output was generated: Intercept $19,050 Slope Coefficient of correlation 0.91 Standard error $220 The activity driver used was the number of moves.
Required:
1. What is the cost formula?
2. Using the cost formula, predict the cost of moving materials if 340 moves are made.
3. What percentage of the variability in moving cost is explained by the number of moves? (Round percentage to two decimal places.)
Answer:
(1) The cost formula is: y = $19,050 + $12·x.
(2) The cost of moving materials if 340 moves are made is $23,130.
(3) 82.81% of the variability in moving cost is explained by the number of moves.
Step-by-step explanation:
The computer output for the regression analysis of 80 data points is as follows:
Intercept: $19,050
Slope: 12
Coefficient of correlation: 0.91
Standard error: $220
(1)
The general formula of regression equation is:
y = a + b·x
Here,
a = intercept
b = slope
The cost formula is:
y = $19,050 + $12·x
(2)
Predict the cost of moving materials if 340 moves are made as follows:
[tex]y = 19050 + 12\cdot x\\=19050+12\times 340\\=19050+4080\\=23130[/tex]
Thus, the cost of moving materials if 340 moves are made is $23,130.
(3)
The coefficient of determination R² specifies the percentage of the variance in the dependent variable (Y) that is forecasted or explained by linear regression and the forecaster variable (X, also recognized as the independent-variable).
The coefficient of determination R² can be computed by squaring the correlation coefficient value.
[tex]R^{2}=(r)^{2}=(0.91)^{2}=0.8281[/tex]
Thus, 82.81% of the variability in moving cost is explained by the number of moves.
I need help with #7 #11 #12 #13 and #14 please and ASAP
Answer:
54°
Step-by-step explanation:
Since m<2 + m<1 is equal to 180, we can set up the equation to find m<1.
plug in 126 as m<2, so we get
126 + m<1 = 180
-126 -126
m<1 = 54.
From this knowledge, we know that
7.) 54°
8.) 126°
9.) 54°
10.) 126°
11.) 54°
12.) 126°
13.) 54°
14.) 126°
312,919,563x500➗999,527
Answer:
312 , 919 , 281 , 0. 500 , 527
Step-by-step explanation:
Explain how the pattern of chairs in a movie theater can be described using translation.
Answer:
Step-by-step explanation:
reflection over the x-axis as well reflected over the Y axis and rotated 90° counterclockwise and clockwise
Answer:Since the chairs all have the same orientation, any chair in a row can be described as a horizontal translation of any other chair in that row. Likewise, any row of chairs can be described as a translation of any other row of chairs up and back or down and forward.
Step-by-step explanation: Just did it, that is the sample response.
Jamal makes $12.00/hour and worked 9 hours today. What is his total pay? Don't forget to calculate overtime pay.
Answer:
He made $108 in 9 hours
Step-by-step explanation:
I first multiplied 12 by 9 and got 108
Answer:
$108
Step-by-step explanation:
12 x 9 = 108
$108/9 hours
Which expression can be modeled using the number line?
I NEED THIS ASAP
A number line going from 0 to 1 in increments of StartFraction 1 Over 10 EndFraction. Arrows go between each increment until StartFraction 7 Over 10 EndFraction.
StartFraction 1 Over 10 EndFraction divided by 7
StartFraction 7 Over 10 EndFraction divided by StartFraction 1 Over 10 EndFraction
StartFraction 1 Over 10 EndFraction divided by StartFraction 7 Over 10 EndFraction
7 divided by StartFraction 7 Over 10 EndFraction
Answer:
c is incorrect they just made me fail my quiz... :(
Step-by-step explanation:
Answer:
7/10 divided by 1/10
Step-by-step explanation:
which is >greater =equal or <less than??
√7__3
Answer:
the answer should be < .
please reply fast..............
Solve.
(6a + 4)(5a + 3)
Can someone help me plz
Answer:
make it so that the top side is 40 and make the sides 35
Step-by-step explanation:
The math club is selling gift wrap for a fumdraiser. They sold all 45 rolls of solid wrapping paper at $4 each and rolls of patterned wrapping paper at $5 each. If they made $265 how many rolls of patterned wrapping paper did they sell
Answer:
17 rolls
Step-by-step explanation:
4 x 45 = 180
265-180 = 85
85 ÷ 5 = 17
hope this helps ;)
what is 8.42 times 10 to the 3rd power
Answer:
8420
Step-by-step explanation:
10 to the third power will move the decimal point three place values to the right. So, the first two times you move it, you get 842, and so there is a 0 on the end to signify that it moved the third time.
3(x−2)+5x=18 what is the value of x
Answer:
x=3
Step-by-step explanation:
1/2 + 2 3/4
Help please (◍•ᴗ•◍)❤
Answer:
3 1/4
Step-by-step explanation:
Answer:
3 1/4
Step-by-step explanation:
im going to change the fractions to decimals
1/2 = 0.5
2 3/4 = 2.75
0.5 + 2.75 = 3.25
now im going to switch it back to fraction
3.25 = 3 1/4
A floor is made up of 20 triangular tiles, each with sides 40 cm, 24 cm and 32 cm. Find the cost of polishing the floor at the rate of 2 rupees per sq.cm.
Answer:
[tex]15360\,\,rupees[/tex]
Step-by-step explanation:
Let sides of the triangle be [tex]a,b,c[/tex]
[tex]a=40\,,\,b=24\,,\,c=32[/tex]
Semi-perimeter (s) = [tex]\frac{a+b+c}{2}[/tex]
[tex]=\frac{40+24+32}{2}\\ =\frac{96}{2}\\=48[/tex]
Area of one tile [tex]=\sqrt{s(s-a)(s-b)(s-c)}[/tex]
[tex]=\sqrt{48(48-40)(48-24)(48-32)}\\ =\sqrt{48(8)(24)(16)}\\ =\sqrt{147456} \\=384\,\,cm^2[/tex]
So,
Area of 20 tiles [tex]=20(384)=7680\,\,cm^2[/tex]
Cost of polishing the floor at the rate of 2 rupees per sq.cm = [tex]7680(2)=15360\,\,rupees[/tex]
Test 4,580 for divisibility by 2, 3, 5, 9, and 10.
By 2 = 2290
By 3 = about 1526.6667 or you can just write 4580/3
By 5 = 916
By 9 = about 508.8889
By 10 = 458
At which value in the domain does f(x) = 0?
X=-3
X=0
X=1
X=4
What are two ways or more to calculate slope and what is the difference between them?
Answer:
one way.
k=y2-y1 / x2-x1
Yoshi needs to find the inverse of f(x) = 5x – 2. What is the first step?
Answer:
D. Replace f(x) with y
Step-by-step explanation:
apex
Yoshi needs to find the inverse of f(x) = 5x – 2. The first step is to Switch x and y. The correct answer is option C.
In mathematics, an inverse function is a function that "undoes" the actions of another function. If a function f(x) maps an input x to an output y, the inverse function, denoted as f^(-1)(x) or sometimes written as f(x)^(-1), maps the output y back to the original input x. The correct answer is option C.
To find the inverse of a function, the first step is to switch the x and y variables. In this case, the function is f(x) = 5x - 2.
To find the inverse, we need to switch x and y, so the new function becomes x = 5y - 2.
It's important to note that not all functions have an inverse. A function must be one-to-one (each input maps to a unique output) for an inverse to exist. Additionally, the domain and range of a function and its inverse are swapped.
Learn more about Inverse here:
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16. A section of an exam contains four True-False questions. A completed exam paper is selected at random, and the four answers are recorded. a. List all outcomes in the sample space. b. Assuming the outcomes to be equally likely, find the probability that all the answers are the same. c. Assuming the outcomes to be equally likely, find the probability that exactly one of the four answers is "True." d. Assuming the outcomes to be equally likely, find the probability that at most one of the four answers is "True."
Answer:
a
[ FFFF] , [FFFT] , [FFTF] , [FFTT]
[FTFF] , [FTFT] , [FTTF], [FTTT]
[TFFF] , [TFFT] , [TFTF] , [TFTT]
[TTFF] , [TTFT],[TTTF] , [TTTT]
b
[tex]P(A) = \frac{1}{8}[/tex]
c
[tex]P(B) = \frac{1}{4}[/tex]
d
[tex]P(C) = \frac{5}{16}[/tex]
Step-by-step explanation:
From the question we are told that
The number of True - False question is n = 4
The number of answers recorded are k = 4
Generally the outcomes in the sample space are 16 and they are listed below
[ FFFF] , [FFFT] , [FFTF] , [FFTT]
[FTFF] , [FTFT] , [FTTF], [FTTT]
[TFFF] , [TFFT] , [TFTF] , [TFTT]
[TTFF] , [TTFT],[TTTF] , [TTTT]
Generally from the list of the possible outcome we see that the number of outcome where the answers are the same is 2 i.e [TTTT] and [FFFF]
So the probability that all the answers are the same is mathematically represented as
[tex]P(A) = \frac{2}{16}[/tex]
=> [tex]P(A) = \frac{1}{8}[/tex]
Generally from the list of the possible outcome we see that the number of outcome where exactly one answer is true is 4 i.e [FFTF] , [FFFT],[TFFF] , [FTFF]
So the probability that exactly one of the four answers is "True." is mathematically represented as
[tex]P(B) = \frac{4}{16}[/tex]
=> [tex]P(B) = \frac{1}{4}[/tex]
Generally from the list of the possible outcome we see that the number of outcome where at most one of the four answers is true is 5 i.e [FTFF] , [FFFF] , [FFTF] , [FFFT] ,[TFFF]
So the probability that at most one of the four answers is mathematically represented as
[tex]P(C) = \frac{5}{16}[/tex]
The probabilities of all same, exactly one true, and most one of the four are true is 0.125, 0.25, and 0.3125 respectively.
What is probability?Probability means possibility. It deals with the occurrence of a random event. The value of probability can only be from 0 to 1. Its basic meaning is something is likely to happen. It is the ratio of the favorable event to the total number of events.
A section of an exam contains four True-False questions.
A completed exam paper is selected at random, and the four answers are recorded.
Total event = 16
A. The sample space will be shown in the table below.
[tex]\rm Sample \ space = 16 \ \begin{Bmatrix}FFFF & FFFT & FFTF & FFTT \\FTFF & FTFT & FTTF & FTTT \\TFFF & TFFT & TFTF & TFTT \\TTFF & TTFT & TTTF & TTTT\end{Bmatrix}[/tex]
B. The probability that all the answers are the same will be.
Favorable event = 2 ={(TTTT, FFFF}
Then we have the probability,
[tex]\rm P(B) =\dfrac{2}{16} =\dfrac{1}{8} = 0.125[/tex]
C. The probability that exactly one of the four answers is "True".
Favorable event = 4 {(FFFT, FFTF, FTFF, TFFF}
Then we have the probability,
[tex]\rm P(C) =\dfrac{4}{16} =\dfrac{1}{4} = 0.25[/tex]
D. The probability that at most one of the four answers is "True".
Favorable event = 5 {(FFFF, FFFT, FFTF, FTFF, TFFF}
Then we have the probability,
[tex]\rm P(D) =\dfrac{5}{16} =0.3125[/tex]
More about the probability link is given below.
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