Answer:
5(5x-2y)
Step-by-step explanation:
To find the equivalent expression, you can perform the distributive property for each equation. for a, you multiply 5 by each term in the parentheses. you will get 25x-10y.
Hope this helps!
A firm offers routine physical examinations as part of a health service program for its employees. The exams showed that 22% of the employees needed corrective shoes, 29% needed major dental work, and 3% needed both corrective shoes and major dental work. What is the probability that an employee selected at random will need either corrective shoes or major dental work
Answer:
0.48 = 48% probability that an employee selected at random will need either corrective shoes or major dental work
Step-by-step explanation:
I am going to solve this question treating these events as Venn probabilities.
I am going to say that:
Event A: Employee needed corrective shoes.
Event B: Employee needed major dental work.
22% of the employees needed corrective shoes
This means that [tex]P(A) = 0.22[/tex]
29% needed major dental work
This means that [tex]P(B) = 0.29[/tex]
3% needed both corrective shoes and major dental work.
This means that [tex]P(A \cap B) = 0.03[/tex]
What is the probability that an employee selected at random will need either corrective shoes or major dental work?
This is:
[tex]P(A \cup B) = P(A) + P(B) - P(A \cap B)[/tex]
Replacing the values that we have:
[tex]P(A \cup B) = 0.22 + 0.29 - 0.03 = 0.48[/tex]
0.48 = 48% probability that an employee selected at random will need either corrective shoes or major dental work
The scatterplot below shows a data set
and an approximate trend line for the
data.
7
6
5
3
1
0 10 20 30 40 50 60 70
Which is the best estimate of the value of
x that corresponds to y = 3? (8.18, 8.10,
SIE, SIF)
Where does
F 35
the line y = 3
G 25
intersect the
trend ine?
H 50
10
Is the following relationship a function?
Answer:
yes it's a inverse function
Answer:
Yes it is
Step-by-step explanation:
To remeber, if none of the lines overlap or crosses each other, its a function.
Does the function satisfy the hypotheses of the Mean Value Theorem on the given interval? f(x) = e−4x, [0, 2] Yes, it does not matter if f is continuous or differentiable; every function satisfies the Mean Value Theorem. No, f is not continuous on [0, 2]. There is not enough information to verify if this function satisfies the Mean Value Theorem. No, f is continuous on [0, 2] but not differentiable on (0, 2). Yes, f is continuous and differentiable on , so it is continuous on [0, 2] and differentiable on (0, 2) . If it satisfies the hypotheses, find all numbers c that satisfy the conclusion of the Mean Value Theorem. (Enter your answers as a comma-separated list. If it does not satisfy the hypotheses, enter DNE).
Answer:
(a) Yes, it does not matter if f is continuous or differentiable; every function satisfies the Mean Value Theorem.
(b) [tex]c =0.51995[/tex]
Step-by-step explanation:
Given
[tex]f(x) = e^{-4x};\ [0,2][/tex]
Solving (a); Does the function satisfy M.V.T on the given interval
We have:
[tex]f(x) = e^{-4x};\ [0,2][/tex]
The above function is an exponential function, and it is differentiable and continuous everywhere
Solving (b): The value of c
To do this, we use:
[tex]f'(c) = \frac{f(b) - f(a)}{b - a}[/tex]
In this case:
[tex][a,b] = [0,2][/tex]
So, we have:
[tex]f'(c) = \frac{f(2) - f(0)}{2 - 0}[/tex]
[tex]f'(c) = \frac{f(2) - f(0)}{2}[/tex]
Calculate f(2) and f(0)
[tex]f(x) = e^{-4x}[/tex]
So:
[tex]f(2) = e^{-4*2} = e^{-8} = 0.00033546262[/tex]
[tex]f(0) = e^{-4*0} = e^{0} = 1[/tex]
This gives:
[tex]f'(c) = \frac{0.00033546262 - 1}{2}[/tex]
[tex]f'(c) = \frac{-0.99966453738}{2}[/tex]
[tex]f'(c) = -0.4998[/tex]
Note that:
[tex]f'(x) = (e^{-4x})'[/tex]
[tex]f'(x) = -4e^{-4x}[/tex]
This implies that:
[tex]f'(c) = -4e^{-4c}[/tex]
So, we have:
[tex]f'(c) = -0.4998[/tex]
[tex]-4e^{-4c} =-0.4998[/tex]
Divide both sides by -4
[tex]e^{-4c} =\frac{-0.4998}{-4}[/tex]
[tex]e^{-4c} =0.12495[/tex]
Take natural logarithm of both sides
[tex]\ln(e^{-4c}) =\ln(0.12495)[/tex]
[tex]\ln(e^{-4c}) =-2.0798[/tex]
Apply law of natural logarithm
[tex]\ln(e^{ax}) =ax[/tex]
So:
[tex]-4c =-2.0798[/tex]
Solve for c
[tex]c =\frac{-2.0798}{-4}[/tex]
[tex]c =0.51995[/tex]
Megan used a reconciliation worksheet provided by her bank. Line 5 should equal line 6 at the end of the reconciliation, but it does not. Friendly Bank Reconciliation Worksheet Amount 1. Enter the statement closing balance. $ 487 13 2. Enter the sum of any outstanding deposits or credits. $ 186 68 3. Add lines 1 and 2. $ 673 81 4. Enter the sum of any outstanding checks or debits. $ 174 01 5. Subtract line 4 from line 3. $ 499 80 6. Enter your checkbook balance. $ 362 60 Note: Lines 5 and 6 should be equal at the end of the reconciliation. Megan wants to first look for a single transaction that could have caused this problem with reconciliation. What is the amount of the transaction that Megan should look for in order to find a solution to the problem? a. $325.79 b. $137.20 c. $12.67 d. $313.20 Please select the best answer from the choices provided A B C D
Answer:
b
Step-by-step explanation:
Answer:
B. $137.20
Step-by-step explanation:
(5+2×8)/6=x(4+6) what is the value of x ?
Answer:
Step-by-step explanation:
Answer:
x= 7/20
Step-by-step explanation:
(5+2×8)/6=x(4+6)
(5+16) /6 = 4x+6x
21/6=10x (divide 21/6 by 3)
7/2=10x
7/2×1/10= x
x= 7/20
Hope this helps :)
Keep Smiling
Which linear function represents the line given by the point-slope equation y + 7 = (x + 6)?
Pls help extra points and mark brainlist
Answer:
I think it's the second one y=400x I'm not sure . I hope that I helped you
Answer:
[tex]y=50x[/tex]
Why:
We can tell the slope because for every hour, the car travels 50 miles by simply looking at the graph. This would be a slope of [tex]\frac{50}{1}[/tex], or 50. Because the y-intercept is 0, no intercept appears on the equation. Good luck!
What is the value of x?
Step-by-step explanation:
[tex] \frac{360 - 2(x + 30)}{2} = x \\ 360 - 2x - 60 = 2x \\ 300 - 4x = 0 \\ 4x = 300 \\ x = 300 \div 4 = 75[/tex]
Answer:
75 degrees
Step-by-step explanation:
In a parallelogram, adjacent angles always add up to 180 degrees. So, for example, A+B=180 and C+B=180.
Therefore, A+D=180.
Because we're given that angle A is (x+30) degrees and angle D is x degrees, we can plug them into the below equation:
[tex](x+30)+x=180[/tex]
Open up the parentheses
[tex]x+30+x=180\\2x+30=180[/tex]
Subtract both sides by 30
[tex]2x-30=180-30\\2x=150[/tex]
Divide both sides by 2
[tex]\frac{2x}{2} =\frac{150}{2} \\x=75[/tex]
Therefore, x is equal to 75 degrees.
I hope this helps!
PLEASE HURRY PLEASE :(
Answer:
Step-by-step explanation:
height after x seconds = -16x² - 2x + 600
-16x² - 2x + 600 = 450
16x² + 2x - 150 = 0
8x² + x - 75 = 0
Quadratic formula
x = [-1 ± √(1² – 4·8(-75))] / [2·8]
= [-1 ± √2401] / 16
= [-1 ± 49] /16
= 3, -3⅛
-3⅛ is an extraneous solution, so x = 3 seconds.
The least-squares regression line is: Group of answer choices a. the line that passes through the most data points. b. the line that minimizes the sum of the squares of the vertical distances from each point to the line. c. the line such that half of the data points fall above the line and half fall below the line d. all of the above are correct
Answer:
a. the line that passes through the most data points.
Step-by-step explanation:
The least-squares regression line is the line that passes from mostly all the data points also this line would be located on a scatterplot that minimizes the distance square from the points to the line
Therefore as per the given situation, the option a is correct
Hence, the rest of the given options would be wrong
What is the value of x in the equation of 4x + 1.3 = - 7.9
Answer:
x = -2.3
Step-by-step explanation:
4x + 1.3 = -7.9
First we want to combine the like terms.
Subtract 1.3 from both sides.
4x = -9.2
Now we want to isolate x by dividing both sides by 4.
x = -2.3
Check your answer by plugging x back into the original equation.
4x + 1.3 = -7.9
4(-2.3) + 1.3 = -7.9
Multiply.
-9.2 + 1.3 = -7.9
Add.
-7.9 = -7/9
Your answer is correct.
Hope this helps!
Step-by-step explanation:
4x + 1.3 = - 7.9
4x = - 7.9 - 1.3
4x = - 9.2
x = - 9.2/4
= - 2.3
What is the volume of the figure below if each unit cube has a side length of one centimeter?
A.12cm3
B.24 cm3
C.36 cm3
D.48 cm 3
Answer: C
Step-by-step explanation:
In ΔSTU, the measure of ∠U=90°, the measure of ∠S=16°, and TU = 5.9 feet. Find the length of ST to the nearest tenth of a foot.
Answer:
21.4
Step-by-step explanation:
Fing Using Addil
The number of boxes of cookies sold by Imelda was 36 more than the number of
boxes of cookies sold by Keiko. The number of boxes of cookies sold by Sarah
was 38 fewer than the number sold by Keiko. Write an algebraic expression for
each quantity. Use x to represent the unknown value.
Answer:
keiko- x
imelda- x+ 36
Sarah- x- 38
Step-by-step explanation:
keiko is x since we have not been given his number of boxes.because imelda's number of boxes was 36 more than keiko's, you will add the x which is for keiko and 36 for imelda(x+36).and sarah's number of boxes will be x-36 because we have been told her number of boxes is 38 fewer than keiko's.Will give brainlst
Have a nice day
Answer:
x = 3.5
y = 8x + 12
Step-by-step explanation:
1) Given the equation
12x = 4(x+2)+20
Expand
12x = 4x+8+20
12x - 4x = 28
8x = 18
x = 28/8
x = 3.5
Hence the value of x is 3.5
2) The standard form of equation in slope intercept form is y = mx+c
m is the slope
c is the y intercept
Get the y-intercept
Substitute m = 8 and (0, 12) into y = mx+c
12 = 8(0)+c
12 = c
c = 12
Get the required equation
Recall that y = mx+c
y = 8x + 12
This gives the required equation
When you reflect an ordered pair over the origin, what happens to the order pairs?
A The x value stays the same and the y changes.
The y value stays the same and the x changes.
The value for both the x and the y changes.
0 Nothing
Answer :A
explaination: when we reflect an ordered pair over the origin, we can it write like this (0,y)
{y; 0<y<infinite }
ex: (0,1)
(0,2)
(0,3) etc
For brainliest please help!
Answer:
I think its y-x, if y >x.
Step-by-step explanation:
PLZ HELP ASAP (BRAINLIEST + 30 POINTS (show all work)
(7.03) Determine the missing term from the perfect square trinomial. Show ALL work.
x2 − ______+ 36
Write in factored form: ( )2
Answer:
x² - 12x + 36
factored: (x - 6)(x - 6)
James earns $22.00/hour. One week, he worked 40 regular hours and 5 hours of overtime. What is his GROSS pay?
Answer:
$1,045
Step-by-step explanation:
40×22=880
22÷2=11
11+22=33
33×5=165
165+880=1,045
Select the right one that shows an isosceles right triangle.
Answer:
A or top left
Step-by-step explanation:
Isosceles triangles should have a perpendicular bisector from an angle to the opposite base.
The top left has that factor.
Compare and contrast expanding and simptying
algebraic expressions with simplifying numeric
expressions. For example, compare simplifying 3(x - 2) +
(x - 1) with 3(5 - 2) + (5 – 1)
Answer:
With algebraic expressions, you can’t add and subtract any terms like you can add and subtract numbers. Terms must be like terms in order to combine them. So, you can’t always simplify an algebraic expression by following the order of operations. You have to use the distributive property to rewrite the expression and then combine like terms to simplify. With numeric expressions, you can either simplify inside the parentheses first or use the distributive property first.
Step-by-step explanation:
Welcome for the answer. This answer is for good intentions only, report if necessary. Thank you and have a good rest of your day!Answer:
Algebraic expressions have terms, Terms must be like to add and subtract, You can’t always follow the order of operations with algebraic expressions.
Step-by-step explanation:
Solve for x in the equation x2 + 4x-4-8.
O x= -6 or x = 2
O x--2+/- 2_/2
O x=-2 or x = 6
O x-2+/-2_/3
The solution of the equation is x= -6 or x = 2.
What is Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given:
We have the Equation x²+ 4x -4 - 8 or x² + 4x - 12.
Now Factorizing the equation we get
x² + 4x - 12
= x² + 6x - 2x - 12.
= x (x+ 6) - 2( x+ 6)
= (x -2) (x+ 6)
So, x-2 = 0 or x+ 6= 0
x= 2 or x= -6
Thus, the solution of the equation is x= -6 or x = 2.
Learn more about Equation here:
https://brainly.com/question/29657992
#SPJ7
In a bowl, there are gum balls. There are 5 red, 7 blue, 3 yellow and 11 purple.
What is the ratio of the following?
10. Purple to Red _____
11. Blue to Yellow _____
12. Yellow to Red _____
13. Purple to Blue _____
A. 11 to 5
B. 11 to 7
C. 3 to 5
D. 7 to 3
Answer:
10 is A
11 is D
12 is C
and 13 is B
Can you help me solve this question
Answer:
t = 32
Step-by-step explanation:
The given equation is :
[tex]24=\dfrac{3}{4}t[/tex] ....(1)
Where
t is the number of guests attending the catered event.
The reciprocal of [tex]\dfrac{3}{4}[/tex] is [tex]\dfrac{4}{3}[/tex].
Multiplying both sides by the reciprocal of [tex]\dfrac{3}{4}[/tex].
[tex]24\times \dfrac{4}{3}=\dfrac{3}{4}\times \dfrac{4}{3}t\\\\t=8\times 4\\\\t=32[/tex]
Hence, 32 guests will attend the catered.
Can someone please explain the answer step by step pls.
Answer:
a) x= 29, y= 87
b) x= 19, y= 45
Step-by-step explanation:
Q5. a) Let the first number be x and the second number be y.
The sum of 2 integers is 116.
x +y= 116 -----(1)
The second number is three times the first number.
y= 3x -----(2)
Substitute (2) into (1):
x +3x= 116
4x= 116
x= 116 ÷4
x= 29
Substitute x= 29 into (2):
y= 3(29)
y= 87
b) Let the smaller number be x and the larger number be y.
x +y= 64 -----(1)
y -x= 26 -----(2)
Since we have to use substitution to solve the equations, let's first rewrite an equation to make one of the variables the subject of the equation.
From (1):
x= 64 -y -----(3)
Substitute (3) into (2):
y -(64 -y)= 26
y -64 +y= 26 (expand bracket)
2y= 26 +64 (simplify, +64 on both sides)
2y= 90
y= 90 ÷2
y= 45
Substitute y= 45 into (3):
x= 64 -45
x= 19
help please! by what fraction would you multiply 8 1/2 so that the proudct is about 5 explain your reasiong
9514 1404 393
Answer:
5/8 or 5/9
Step-by-step explanation:
The fraction will be exactly ...
5/(8 1/2) = 10/17 ⇒ (8 1/2)×(10/17) = 5
__
The fraction will be approximately ...
5/8 or 5/9
The denominator will be a number that makes (8 1/2)/(denominator) ≈ 1. For that denominator, the numerator will be 5, so that we have ...
(8 1/2) × (5/denominator) ≈ 5
(8 1/2)/(denominator) ≈ 1 . . . . . . . . divide by 5
If we want the denominator to be an integer, we could choose either 8 or 9. If we choose 8, the result will be slightly more than 5; if we choose 9, the result will be slightly less.
(8 1/2) × (5/8) = 5.3125 ≈ 5
(8 1/2) × (5/9) = 4.722... ≈ 5
Either 5/8 or 5/9 will give a product of about 5.
Answer:
Step-by-step explanation:
solve 9x-10÷2=x+9
explain how
Answer:
x = 4
Step-by-step explanation:
please help!!!
i would really apreciate it
Answer:
it should be the graph on the bottom right
Step-by-step explanation:
The income should be more than the cost in order to make a profit and that happens for Leanne when she sells 8 quilts, so the 8 should be on the x-axis (the axis named "Quilts Sold")
The income should be 0 in the beginning bc when she sells 0 quilts she will be earning 0.
after selling 8 quilts her income will be higher than her costs
(Though naming the y-axis as "profit" is not accurate bc when she sells 0 quilts she will lose money since she will be spend money to make the quilts but not earn the money to compensate for the cost).
with all of these reasons combined the correct should be the one on the bottom right
Gus bought a salad for $6 and two pizza's. If he paid a total of $36, what equation represents finding the cost of one pizza?
Answer:
15 dollars each pizza
Step-by-step explanation:
2 pizzas (15 + 15 = 30)
30 + 6 = 36
Answer:
15
Step-by-step explanation:
15+15=30+6 =36