Answer:
8 hours
Step-by-step explanation:
We can use an algebraic equation to solve this problem.
7.5x + 10 = 70
7.5x + 10 (-10) = 70 (-10)
7.5x (/7.5)= 60 (/7.5)
x = 8
Determine the effective tax rate for a taxable income of $63,425. Round the final answer to the nearest hundredth.
Answer:
The effective tax rate for a taxable income of $63,425 is 15.18%.
Step-by-step explanation:
what is the theoretical flow time? (the minimum time required to produce a garage door from start to finish.) the potential answers are: a: 50 minutes. b: 54 minutes. c: 26 minutes. d: 56 minutes. e: 58 minutes.
Theoretical flow time = 58 minutes
The complete question is
Mamossa Assaf Inc. fabricates garage doors. Roofs are punched in a roof punching press (15 minutes per roof) and then formed in a roof forming press (8 minutes per roof). Bases are punched in a base punching press (3 minutes per base) and then formed in a base forming press (10 minutes per base), and the formed base is welded in a base welding machine (12 minutes per base). The base sub-assembly and the roof then go to final assembly where they are welded together (10 minutes per https://brainly.com/question/27786618garage) on an assembly welding machine to complete the garage. Assume one operator at each station.
Roof → Roof - punch(15 min) → Roof-form(8 min) →→→→→→→→↓
(10)Assembly→ Door
Base → Base - punch(3 min) → Base - form(10 min) → weld(12 min)↑
Roof path = 15 + 8 = 23
Base path = 3 + 10 + 12 =25
Theoretical flow time = Roof path + base path + assembly = 23 + 25 +10 = 58 mins
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A ladder 13m long reaches a window which is 5m above the ground , on one side of the
street. Keeping its foot at the same point,
the ladder is turned to the other side of the street
to reach a window at a height of 12m. Find the
width of the street.
The ladder is 13 m long and leans against a window 5 m high, then the ladder leaned to the other side without moving its feet to reach the 12 m high window.
if we imagine a leaning ladder it will look like a right triangle and it will remind us of the Pythagorean theorem. do you remember the pythagorean theorem?
The Pythagorean theorem explains the relationship or relationship between the lengths of the sides of a right triangle.
The Pythagorean theorem reads: "The square of the length of the hypotenuse (hypotenuse) in a right triangle is equal to the sum of the squares of the lengths of the other sides".
in the picture, let's say if the width of the street is a, the height of the window is b and the length of the stairs is c.
in this case we will find the width of the street, namely a, then we use formula a² = c² - b² .
then it will be
b = 12
c = 13
a² = c² - b²
a² = 13² - 12²
a² = 169 - 144
a² = 25
a = 5
So the width of the street is 5 mThe graph of a linear function passes through (−8,−4) and (4, 5). What is the equation of the function? Please help.
Answer: y=(3/4)x+2
Step-by-step explanation:
1. Find the slope (change of y/change of x)
(5-(-4))/(4-(-8)
9/12
SLOPE: 3/4
2. Find the y-intercept. Insert the points into an equation and find b.
5=(9/12)(4)+b
5=3+b
b=2
Y-INTERCEPT=2
a recent survey of 6 social networking sites has a mean of 9.05 million visitors for a specific month. the standard deviation was 5 million. find the 98% confidence interval of the true mean. assume the variable is normally distributed. round your answers to at least two decimal places.
The 98% confidence interval of the true mean is 43.02 million < true mean < 13.80
Given,
Number of social networking sites being surveyed = 6
Sample mean = 9.05 million visitors per month
Standard deviation = 5 million
We have to find the 98% confidence interval of the true mean;
Here,
Sample mean, x = 9.05 million
Standard deviation, σ = 5 million
Sample size, n = 6
z score of 98% is 2.326
Now,
9.05 million - 2.326 × (5 million / √6) < true mean < 9.05 million + 2.326 × (5 million / √6)
43.02 million < true mean < 13.80
Therefore,
The 98% confidence interval of the true mean is 43.02 million < true mean < 13.80
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An artist creates a cone shaped sculpture for an art exhibit. If the sculpture is 15 feet tall and has total volume 235.5 cubic feet, what is the radius of the sculpture? Use 3.14 for pi
Answer: r = 19.35 ft
Step-by-step explanation:
[tex]Volume = V = \pi r^{2} \frac{h}{3} \\235.5 = \pi r^{2} 15/3\\r^{2} = \frac{235.5}{\pi} 5\\r = \sqrt{374.8} = 19.35[/tex]
Find the missing side of the triangle.
Please help this is due tomorrow
If W(-10, 4). X(-2, 71), and Y(-5, 10) classify triangle WXY by its sides. Show all work to justify your answer.
If W(-10, 4), X(-2, 71), and Y(-5, 10), triangle WXY is an isosceles triangle.
What is an obtuse scalene triangle?
An obtuse scalene triangle is a triangle in which one of the angles is greater than 90 degrees but less than 180 degrees and the other two angles are less than 90 degrees. The measurements of all three sides and angles
Distance formula, [tex]d = \sqrt{(x_2 - x_1)^2 + (y_2-y_1)^2}[/tex]
The given points are W(-10, 4), X(-2, 71), and Y(-5, 10) .
Let's find the length of WX.
[tex]WX = \sqrt{(x_2 - x_1)^2 + (y_2-y_1)^2}\\\\WX = \sqrt{(-2 -(-10))^2 + (71-4)^2}\\\\WX = \sqrt{(8)^2 + (67)^2}\\\\WX = \sqrt{64 + 4489}\\\\WX = \sqrt{64 + 4489}\\\\WX=67.47[/tex]
Now find the length of XY.
[tex]XY = \sqrt{(x_2 - x_1)^2 + (y_2-y_1)^2}\\\\XY = \sqrt{(-5-(-2))^2 + (10-71)^2}\\\\XY = \sqrt{(-3)^2 + (-61)^2}\\\\XY = \sqrt{9 + 3721}\\\\XY=61.07[/tex]
Now find the length of WY.
[tex]WY = \sqrt{(x_2 - x_1)^2 + (y_2-y_1)^2}\\\\WY = \sqrt{(-5-(-10))^2 + (10-4)^2}\\\\WY = \sqrt{(5)^2 + (6)^2}\\\\WY = \sqrt{25+36}\\\\WY=7.81[/tex]
So from calculations, we can say that triangle is an obtuse scalene triangle.
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1= Prt.
You deposit $2,500 into an account
earning Simple interest. The
interest rate is 1.75%
How much money will be in the
account after 8 years?
-How much interest will be earned
5 years?
in
Part a
There will be $2850 in the account after 8 years
Part b
The amount of interest earned in 5 years is $218.75
The principal amount = $2500
The interest rate = 1.75%
The time period = 8 years
Part a
The simple interest
A = P(1 + rt)
Substitute the values in the equation
A = 2500(1 + (1.75/100)×8)
A = 2500( 1 + 0.14)
A = 2500( 1.14)
A = $2850
Part b
The time period = 5 years
Simple interest = Prt
= 2500 × (1.75/100) × 5
= 2500 × 0.0175 × 5
= $218.75
Hence,
Part a
There will be $2850 in the account after 8 years
Part b
The amount of interest earned in 5 years is $218.75
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Solve the equation -4(x - 1) + 6x =34 for x
Answer:
Step-by-step explanation:
-4(x - 1) + 6x =34
-4x + 4 + 6x = 34
-4x + 6x + 4 = 34
2x + 4 = 34
2x + (4-4) = (34-4)
2x = 30
2x/2 = 30/2
x = 15
what is the best solution to this equation 2log2x-log2(2x)=3
The best solution for the given equation is x=4
What are logarithmic functions?
The inverse function to exponentiation in mathematics is called the logarithm. Accordingly, the exponent to which b must be raised in order to obtain a number x is determined by its logarithm to the base b.
Use Property:
logb(xy)=logbx+logby and logby = x ⇔ x^b = y
log2(x(x−2))=3
2^3 =x^2 −2x
8=x^2−2x
0=x^2−2x−8
0=(x−4)(x+2)
x−4=0
or
x+2=0
x=4
or
x=−2
Hence, x=4
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Answer: X=16
Step-by-step explanation:
trust,, also good luck to plato 2b algebra people
Find the value of x.
Answer:
C (41)
Step-by-step explanation:
A straight line has 180 degrees in it. all you would have to do is is add the known numbers, 16 + 123, getting 139. Then subtracting 139 from 180m. You would then get 41.
Answer:
x=41
Step-by-step explanation:
(X+16)+123=180
x+139=180
-139. -139
x=41
Hopes this helps please mark brainliest
What is the answer to this question
Answer:
x = 11
Step-by-step explanation:
Let's have one of the numbers be represented by the variable, x, and the other number be represented with the variable, y
Since the sum of the two numbers is 55, we can write the following equation:
x + y = 55
Then since one number is 4 times as large as the other, we can write: y = 4x
We can now substitute this expression for y into the second equation and solve by
combining like terms and using inverse operations to solve for x:
x + y = 55
x + 4x = 55
5x = 55
5x/5 = 55/5
x = 11
One of the numbers is 11.
Since the sum of the numbers is 55, the other number will be 44.
Answer:
11 and 44
Step-by-step explanation:
→ Write 2 equations
x + y = 55
y = 4x
→ Substitute bottom equation into top
x + 4x = 55
→ Solve
x = 11
→ Find y
4 × 11 = 44
Find the critical value t g corresponding to a 99% confidence level, given that the sample has size n = 12
The critical value is 2.65
Given,
The confidence interval = 99%
Sample size, n = 12
We have to find the critical value;-
Critical value;-
A critical value is the test statistic's value that establishes a confidence interval's upper and lower boundaries or the level of statistical significance for a given test.
Here,
The sample size n = 12,
Then, the degrees of freedom is n - 1 = 12 - 1 = 11
The critical value= t₀.₀₀₁/2 = t₀.₀₀₅
Using the t-table and selecting df =12 and since it’s a 2 tail the corresponding t-score is 2.65
Therefore, the critical value is 2.65
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Please help (Algebra 1)
The average rate of change of the function is 0.2 inches per day
How to determine the average rate of change of the function?
A rate of change describes how one quantity changes in relation to another quantity. Mathematically, it is defined as the change in one divided by the change in the other quantity.
In this case, the average rate of change of the function g(n) from n=1 to n=5 will be:
Given the function, g(n) = 10(1.02)ⁿ
average rate of change = g(5)-g(1) / n₅-n₁
g(5) = 10(1.02)⁵ = 11.0
g(1) = 10(1.02)¹ = 10.2
average rate of change = 11.0-10.2 / 5-1
= 0.8/4
= 0.2 inches per day
Therefore, the average rate of change from n=1 to n=5 is 0.2 inches per day
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Neal buy a board game. He pay for the board game and pay 1.54 in ale tax. The ale tax rate i 5.5% what i the original price of the board game before tax
Answer:
$28
Step-by-step explanation:
5.5%=0.055
1.54/0.055=28
8. Dagne measures and finds that she can do a vertical jump that is 27.5% of her height. If Dagne can jump 13.2 inches, how tall, in inches, is she
36.3 inches the tall is she in.
Given that;
Percentage of vertical jump height = 27.5%
Dagne's height = 13.2 inches
We need to find:
Height of jump
We know that the formula for Computation:
Height of jump = Percentage of vertical jump height × Dagne's height
so,
Height of jump = 13.2 × 27.5
That equals to
Height of jump = 36.3 inches
Hence the answer is 36.3 inches the tall is she in.
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3) a² + 3a - 10 = 0
I don’t know how to do this and I need to solve it by quadratic formula
A quadratic equation in one unknown;
[tex]ax^2+bx+c=0[/tex]has two roots. In order to determine these roots, we need to apply certain operations. We can get information about the existence of these roots by discrimination. Below is the discrimination formula.
[tex]D=b^2-4ac[/tex]If we apply discriminant for the above equation, we obtain the following expression;
[tex]D=(3)^2-4(1)(-10)[/tex][tex]D=9+40[/tex][tex]D=49[/tex]If the discriminant number is greater than [tex]0[/tex], the equation has two real and distinct roots.
[tex]D > 0,[/tex] [tex]x_{1}\neq x_{2}[/tex][tex]D=0,[/tex] [tex]x_{1}=x_{2}[/tex][tex]D < 0,[/tex] [tex]No[/tex] [tex]Root[/tex] [tex]in[/tex] [tex]Real[/tex] [tex]Numbers.[/tex]Now let's remember our formula for finding the roots and solve the problem using the discriminant value.
[tex]x_{1}=\frac{-b-\sqrt{D} }{2a},[/tex] [tex]x_{2}=\frac{-b+\sqrt{D} }{2a}.[/tex]Therefore;
[tex]x_{1}=\frac{-3-\sqrt{49} }{2}[/tex][tex]x_{1}=-5[/tex]Other root is;
[tex]x_{2}=\frac{-3+\sqrt{49} }{2}[/tex][tex]x_{2}=2[/tex]The ratio of 19 yellow beads to 4 red
Answer:
the answer is 19: 4
Step-by-step explanation:
19:4
4. 6 2/3 divided by 8
Help!! I need this ASAP!
The given expression rewritten in simplified exponential form is [tex]5x^{\frac{3}{2}}[/tex]
Simplifying an expressionFrom the question, we are to rewrite the given expression is simplified exponential form.
The given expression is
[tex]\sqrt{\sqrt{25^{2} x^{6} } }[/tex]
First, we will evaluate the inner square root
[tex]\sqrt{25^{\frac{2}{2} } x^{\frac{6}{2} } }[/tex]
[tex]\sqrt{25 x^{3 } }[/tex]
Simplifying further
[tex]\sqrt{25 } \times \sqrt{x^{3}}[/tex]
[tex]5\times x^{\frac{3}{2}}[/tex]
= [tex]5x^{\frac{3}{2}}[/tex]
Hence, the expression in simplified form is [tex]5 x^{\frac{3}{2}}[/tex]
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What is the slope of the line passing through the following two points.
P1 (4,6) and P2 (5, 9)
Enter your answer in the box.
you need to plug the coordinates into the slope formula, which is m=(y2-y1)/(x2-x1).
m=(9-6)/(5-4)
m=(3)/(1)
m=3
The scale of a map is 1.5 centimeters =
120 kilometers. If two cities are
4.75 centimeters apart on the map,
what is their actual distance?
A. 420 km
B. 390 km
C.
380 km
D. 360 km
The two-way frequency table contains data about how students access courses.
Traditional Online Row totals
Computer 28 62 90
Mobile device 46 64 110
Column totals 74 126 200
What is the joint relative frequency of students who use a computer in a traditional class?
45%
37%
28%
14%
The joint relative frequency of students who use a computer in a traditional class is of:
37%.
How to obtain a relative frequency?The relative frequency of an event in an experiment is calculated as the number of desired outcomes in the context of the experiment divided by the number of total outcomes in the context of the experiment.
In this problem, we want the joint relative frequency of students who use a computer in a traditional class, hence the total and desired outcomes are given as follows:
Total outcomes: 74 students in a traditional class.Desired outcomes: 28 students using a computer in a traditional class.Hence the joint relative frequency of students who use a computer in a traditional class is calculated as follows:
28/74 = 37%. (rounded down).
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Answer:
14%
Step-by-step explanation:
1. I took the test
2.Likes running and swimming=28
Total=200
28/200=.14
.14 in percent form is 14%
PLS GIVE BRAINLIST MEAN THE WORLD
4^5-9x = 1/8^x-2
what is x equals? and the steps
.. please
You can ask where you don't understand.
A cheetah can run 18.75 miles in 1/4 hours. What is its speed in miles per hour?
Answer: miles per hour = mi/hr = 17.5mi/0.25hr = 17.5*4mi/0.25*4hr = 70mi/hr
Step-by-step explanation:miles per hour = mi/hr = 17.5mi/0.25hr = 17.5*4mi/0.25*4hr = 70mi/hr
Step-by-step explanation:
18.75 miles in 1/4 hour.
that is the ratio 18.75 / 1/4
but we want the miles in an hour.
so, how many 1/4 are in a whole ?
well, 4.
so we need to multiply the ratio by 4/4 (so that on one hand we multiply the denominator by 4 to make it a whole, and on the other hand we are not changing the value of the ratio) :
18.75 × 4 / (1/4 × 4) = 75 miles / 1 hour = 75 mph.
Your brother is 13 your age. Your sister is 6 years older than your brother. Your sister is 10 years old. Write and solve an equation to find your age a.
An equation is
=10.
You are
12 years old.
The required age from the equation is 12 years old
What is an 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.
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 data ,
Let the age to be calculated be = a
The age of the brother be b = ( 1 / 3 ) a
Multiply by 3 on both sides , we get
a = 3b
So , Age to be calculated a = 3b
The age of sister c = 6 years elder than brother
So ,
The age of sister c = b + 6
The age of sister c = 10
From the equations , we can simplify that
c = b + 6
Substituting the value for c , we get
10 = b + 6
Subtracting 6 on both sides , we get
b = 4
Now , from the equation , we get
Age to be calculated a = 3b
= 3 x 4
= 12 years old
Hence , the age to be calculated a is 12 years old
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3[tex]3 divided by 19.5[/tex]
Answer:
1.38461538462
Step-by-step explanation:
What is the solution to the following system?
The solution to the system is x = 0, y =2, z = 5
How to find the solution to the system?Given the following system:
x+ 2y+z=9 -------- (1)
x- y+3z = 13 -------- (2)
2z = 10 -------- (3)
From (3):
2z = 10
z = 10/2 = 5
Put z = 5 into (1) and (2):
x+ 2y+z=9
x+ 2y+5 = 9
x +2y = 9-5
x +2y = 4 -------- (4)
x- y+3z = 13
x -y + 3(5) = 13
x-y + 15 = 13
x-y = 13 -15
x-y = -2 -------- (5)
Using elimination method on (4) and (5):
Subtracting (5) from (4):
x +2y = 4
x-y = -2
3y = 6
y = 6/3 = 2
Put y = 2 into (4):
x +2y = 4
x + 2(2) = 4
x + 4 = 4
x = 4-4 = 0
Therefore, the solution is x = 0, y =2, z = 5. The 3rd option is the answer.
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The first container of milk contains twice as much milk as the second contamer After John uses 2 galions of milk from the second container and 3 gallons of milk from the first container, the first container has 45 times as much milk as the second, How many gallons of milk were in each container originally?
The gallons of milk were in each container originally is 2.4 and 4.8 gallons respectively.
How to calculate the gallons?Let us say that:
V₁ = initial gallons in the first container
V₂ = initial gallons in the second container.
From the problem statement, we can create the expression:
V₁ = 2 V₂
V₁ – 3 = 45 (V₂ – 2)
Combining the two expressions:
2 V₂ – 3 = 45 (V₂ – 2)
2 V₂ – 3 = 45 V₂ – 9
2.5 V₂ = 6
Divide
V₂ = 6 / 2.5
V₂ = 2.4 gallons
V₁ = 2 V₂:
= 2 × 2.4
= 4.8 gallons
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Complete question
The first container of milk contains twice as much milk as the second contamer After John uses 2 galions of milk from the second container and 3 gallons of milk from the first container, the first container has 4.5 times as much milk as the second, How many gallons of milk were in each container originally?