Answer:
$80 + $32x = y
Step-by-step explanation:
80 dollars is mandatory, and will always be charged no matter how many hours the electrician works. The $32 is charged based on how many hours the electrician worked. We don't know how many hours he worked, therefore we put an X next to $32 as a way to remind ourselves to multiply the amount of hours he worked times how much he charges per hour. Y would be the total fee.
What would be the answer to the math equation e-mc2
(It is a subtraction sign) :)
\(e−mc {}^{2} \)
Use the commutative property to reorder the terms\(e - {c}^{2} m\)
Find the degree of the monomial.
4b3c6
Answer:
Well it would be 1 if 4b3c6 is what is actually given, but if it was (4b^3)(c^6) it would be 6 or if it was (4b)(3c^6), it'd still be 6
how much do i need to make to afford a $425,000 house
The income you need to afford a $425,000 house is largely dependent on your debt-to-income ratio, credit score, and down payment. However, a general rule of thumb is to have an annual income that is at least three times the purchase price of the home, which in this case would be $1,275,000.
To more accurately determine the income needed to afford a $425,000 house, consider factors such as the interest rate on the mortgage, property taxes, homeowners insurance, and any homeowner association fees.
These additional expenses can significantly impact your monthly mortgage payment and thus your income requirements.
It's important to keep in mind that lenders have varying criteria when determining mortgage eligibility and income requirements, so it's best to speak with a mortgage professional to get a more accurate estimate based on your individual circumstances.
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uh can someone help me with this please I'm confused ughhh I missed school for two weeks and dk how to do this
Answer:
35
Step-by-step explanation:
Top box equals 10
(5x2)
Middle box equals 15
(5-2+2) x 3
Bottom box equals 10
(5x2)
Answer:
35 in sq.
Step-by-step explanation:
Find the area of each rectangle and add them together.
Area of a rectangle = length*height
Top rectangle: This one is easy. Length=2 Width=5
5*2=10
Middle rectangle: There's a missing segment in the width but we can find it. Notice the bottom rectangle's width includes the missing segment + 2 (look at the top rectangle). 5-2 is 3. Add the 2 of the known segment to the 3 of the previously unknown segment.
Length=3 Width=5
5*3=15
Bottom rectangle: This one is also easy. Length=2 Width=5
2*5=10
10+15+10=35 in sq.
a car rental company offers two plans for renting a car. plan a: 30 dollars per day and 10 cents per mile plan b: 55 dollars per day with free unlimited mileage how many miles would you need to drive in one day for plan b to save you money? enter the exact answer as an inequality using the variable m to represent the number of miles.
The required inequality to represents the cost of plan B save the money compare to plan A is given by m > 250.
Let us start by setting up an equation to represent the cost of each plan.
For Plan A, the cost (C) can be represented as,
C = 30 + 0.10m
where m is the number of miles driven.
For Plan B, the cost is a flat rate of $55 per day, regardless of the number of miles driven.
Now, for how many miles need to drive in one day for Plan B to save us money compared to Plan A.
⇒ Cost of Plan A is equal to the cost of Plan B.
⇒ 30 + 0.10m = 55
Subtracting 30 from both sides, we get,
⇒0.10m = 25
Dividing both sides by 0.10, we get
⇒m = 250
The required inequality is
m > 250.
So, drive more than 250 miles in one day, Plan B would save you money compared to Plan A.
However, if you drive exactly 250 miles, the cost for both plans would be the same.
Therefore, the exact answer as an inequality using the variable m to represent plan B save money compare to plan A is equal to m > 250.
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Please help! This is due soon!
How I can answer this question, NO LINKS, if you answer correctly I will give u brainliest!
Answer:
6.73E-8 I think
Step-by-step explanation:
Answer:
\(7.4 \times {10}^{ - 8} - 6.7 \times {10}^{ - 9} \\ = (7.4 - 6.7) {10}^{ - 8 + ( - 9)} \\ = 0.7 \times {10}^{-17} \)
Chris works in a tall building in downtown Columbia. We are going to view this skyscraper as a line segment. The building has an endpoint of point at the top of the building, and an endpoint C at the front door. The building is 36 stories tall. So we know that the length of AC = 36 Chris works at point B on the building which is. 10 stories above C. Find the length of AB.
The length of AB, which represents the distance from Chris' position to the top of the building, is approximately 34.64 stories.
To find the length of AB, we can visualize the situation as a right triangle where point A is the top of the building, point C is the front door, and point B is Chris' position.
We are given that the building is 36 stories tall, which means the vertical distance from A to C is 36 stories. Additionally, we know that Chris works at a position 10 stories above point C. Let's denote the length of AB as x.
Using the Pythagorean theorem, we can relate the lengths of the sides of the right triangle:
AC² = AB² + BC²
Since AC is the vertical height of the building and BC is the vertical distance from point C to Chris' position (which is 10 stories), we can rewrite the equation as:
36² = x² + 10²
Simplifying the equation:
1296 = x² + 100
Rearranging the equation:
x² = 1296 - 100
x² = 1196
Taking the square root of both sides to solve for x:
x = √1196
Calculating the square root of 1196, we find:
x ≈ 34.64
Therefore, the length of AB, which represents the distance from Chris' position to the top of the building, is approximately 34.64 stories.
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Please help!!!!!!!!!!!!
Answer:
Step-by-step explanation:
∠ABD is the complementary angle to ∠BDC.
Two angles are complementary when they add up to 90°
solve t^2y'+2ty-y^3=0
The general solution to the given differential equation is
y = ± √(1 / (2ln|t| + 4/t - C2))
Solution to the differential equationTo solve the given differential equation, we can use the method of separable variables. Let's go through the steps:
Rearrange the equation to separate the variables:
t^2y' + 2ty - y^3 = 0
Divide both sides of the equation by t^2:
y' + (2y/t) - (y^3/t^2) = 0
Now, we can rewrite the equation as:
y' + (2y/t) = (y^3/t^2)
Separate the variables by moving the y-related terms to one side and the t-related terms to the other side:
(1/y^3)dy = (1/t - 2/t^2)dt
Integrate both sides of the equation:
∫(1/y^3)dy = ∫(1/t - 2/t^2)dt
To integrate the left side, let's use a substitution. Let u = y^(-2), then du = -2y^(-3)dy.
-1/2 ∫du = ∫(1/t - 2/t^2)dt
-1/2 u = ln|t| + 2/t + C1
-1/2 (y^(-2)) = ln|t| + 2/t + C1
Multiply through by -2:
y^(-2) = -2ln|t| - 4/t + C2
Now, take the reciprocal of both sides to solve for y:
y^2 = (-1) / (-2ln|t| - 4/t + C2)
y^2 = 1 / (2ln|t| + 4/t - C2)
Finally, taking the square root:
y = ± √(1 / (2ln|t| + 4/t - C2))
Therefore, the general solution to the given differential equation is:
y = ± √(1 / (2ln|t| + 4/t - C2))
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i messed up sorry
Item 9
Question 1
Write the word sentence as an equation. Then solve.
A number x multiplied by 2/5 is 3/20.
Equation:
Question 2
Solution: x=
Answer:
x2/5=3/20 it is the equation
and when we solve it
x2/5=3/20
x2/5×5/2=3/20×5/2
x=15/40 when we simplify it by 5 it is
x=3/9 it is the answer for the question.
Pls help I have to turn this in tomorrow
Answer:
10/15 - 3/15= 7/15
Step-by-step explanation:
none
Marcie cooked dinner for herself. The original recipe has a serving size of 4 and requires 4 pounds of chicken. How many pounds of chicken will be
needed for a single serving?
Marcie would have needed 1 pound of chicken for a single serving given that original recipe has a serving size of 4 and requires 4 pounds of chicken. This can be obtained by forming the ratio of serving size to the pounds of chicken and finding the value of pounds of chicken needed for a single serving.
How many pounds of chicken will be needed for a single serving?Here in the question it is given that,
Marcie cooked dinner for herself.The original recipe has a serving size of 4 and requires 4 pounds of chicken.We have to find the pounds of chicken needed for a single serving.
According to the given statements original recipe has a serving size of 4 and requires 4 pounds of chicken.
The ratio of serving size to the pounds of chicken will be,
serving size to the pounds of chicken = 4 : 4
serving size to the pounds of chicken = 4/4
⇒ serving size to the pounds of chicken = 1 : 1
Therefore we can say that one pound is needed to the one serving size.
Hence Marcie would have needed 1 pound of chicken for a single serving given that original recipe has a serving size of 4 and requires 4 pounds of chicken.
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A random sample is taken and the sample size is 25. the sample is normally distributed, the sample mean is 80, and the standard deviation is 5.5. find a 90% confidence interval for the population mean.
The 90% confidence interval for the population mean is 78.1905<x<81.8095
Confidence intervalThe formula for calculating the confidence interval is expressed as:
CI = x ± z*s/√n
Given the following parameters
mean "x" = 80
z = 1.645
s = 5.5
n = 25
Substitute
CI = 80 ± 1.645*5.5/√25
CI = 80 ± 1.8095
CI = {78.1905, 81.8095}
Hence the 90% confidence interval for the population mean is 78.1905<x<81.8095
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Help me please!
Mathematics
Answer:
x=12
Step-by-step explanation:
i'm assuming the numbers are the lengths of each segment. 8/24 = 1/3, so 4/x=1/3, cross multiply to get x=12
Would anyone happen to know this?! I need help please ASAP
Answer:
nope
Step-by-step explanation:
A bicycle wheel with diameter 16 inches rides over a screw in the street. the screw is on level ground before it punctures the bike’s tire. after the bike has moved forward another 56π inches, how high above the ground is the screw? round to the nearest tenth of an inch.
The height of the screw = 16 inches.
How do you determine the number of revolutions in a circle?The total distance covered in one revolution will be equal to the perimeter of the wheel. Finally, to find the total number of revolutions, divide the total distance by distance covered in one revolution.
Given that,
Diameter of a bicycle = 16 inches
The distance the bike moves (forward) after the screw punctures the tire = 56π inches
We note that the circumference of the bicycle = π·D = π × 16 = 16π inches
Therefore,
\(\frac{56\pi }{16\pi }\) = 3.5
Showing that the bicycle moves three and half complete turns (revolution) where after each complete turn, the screw starts from the bottom of the tire.
The height, h of the screw in the final half turn is given by the relation;
h = A cos(Bx - C) + D
Where
A = Amplitude of the motion = Diameter/2 = 16/2 = 8
P = The period of the motion 2π/B
Bx = The angle described by the motion = Half of one revolution = π = 180°
C = Phase shift = π
D = The mid line = Diameter/2 = 8 inches
Therefore;
h = 8×cos(π - π) + 8 = 16 inches
Hence, After the bike moves forward another 56π inches the height of the screw = 16 inches.
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Answer:
16 on edge
Step-by-step explanation:
A new business had a profit of $6,500 in the first month, a loss $1,200 in the second month and a loss of $1,300 in the third month. What is the net profit or net loss over the first three months
Answer:
$4000 net profit
Step-by-step explanation:
Profit adds to the net revenue, while loss subtracts from it.
So 6500 is positive but 1200 and 1300 are negative.
+6500 - 1200 - 1300 = 5300 - 1300 = 4000
$4000 profit
0.05 written in scientific notation
Answer:
5 x 10^2
Step-by-step explanation:
Benjamin grew 10 flowers with 2 seed packets. With 3 seed packets, how many total flowers can Benjamin have in his garden? Solve using unit rates.
Answer:
15 flowers
Step-by-step explanation:
A Ferrari can travel up to 217 miles per hour. How many feet per second is this equivalent to?
feet per minute
Answer:
318.267 feet per second
19096 feet per minute
Step-by-step explanation:
1) 217*5280 to get feet
2) 1145760/60 to get feet per minute
3) 19096/60 to get feet per second
Answer:
Step-by-step explanation:
A person standing close to the edge on top of a 96-foot building throws a ball vertically upward. The quadratic function h(t) = - 16t^2 + 116t + 96 models the balls height about the ground, h(t), in feet, t seconds after it was thrown.
a) What is the maximum height of the ball? __ feet
b) How many seconds does it take until the ball hits the ground? __ seconds
Answer:
the answer is 306.25 feet and b is 8 sec
Step-by-step explanation:
Explanation
The height of the ball as a function of the time is given by the following formula:
A. Maximum height of the ball
To find the value of the maximum height, we maximum the function h(t) computing its first derivative and equalling the result to zero:
Solving the last equation for t, we get time t when the height is maximum:
So the maximum height is given by the value of h(t) when t = 2.5:
The maximum height is 196ft.
B. Time until the ball hits the ground
The ball will hit the ground when h(t) = 0. So we must find the value of t such that:
Solving this equation is equivalent to finding the roots of a second-order polynomial:
Where:
• a = -16,
,
• b = 80,
,
• c = 96.
The roots of this polynomial are given by the following formula:
s
Answer
A. The maximum height of the ball is 196 ft.
Is y=x+3.75 proportional
Answer:
NO
Step-by-step explanation:
if we plug in 1 = x, we get 4.75 = y. If this is proportional, then y/x will be the same in each scenario.
Let's plug in 2 = x to get y = 5.75. 5.75/2 = 2.875 DOES NOT EQUAL 4.75/1 = 4.75.
That means that the relationship is NOT proportional.
The easier way to tell is to see that there is a number being added, so it can't be a proportional relationship.
Hope this helps and pls do mark me brainliest if you can:)
Answer: No
Step-by-step explanation:
The equal y=x+3.75 is expressed in slope intercept form meaning it doesn't fit the proportional equation which is y=kx and k is the slope.
Because of the y-intercept of the line it makes it not proportional .
PLEASE ANSWER FAST!!!
There are 3 blue marbles and 5 black marbles. Find the probability of drawing 2 blue
marbles.
Answer: 1/4 chance
Step-by-step explan1ation:
5+3=8
8 / 2 = 1/4
Maisie knows that she needs 3 kg of grass seed to make a rectangular lawn 5 m by 9m.
Grass seed is sold in 2 kg boxes
Maisie wants to make a rectangular lawn 10 m by 14m.
She has 5 boxes of grass seed.
(a) Has Maisie got enough grass seed to make a lawn 10 m by 14m!
You must show all
your working
(4)
Total Seeds required 9.33 kg and she has 10 kg.so, she has enough grass seed to make a lawn 10m by 14 m.
If you're fortunate enough to have a rectangular lawn, determining the size is straightforward. Multiply the length and breadth measurements together to get the total. You now have your region/area.
So, Maisie knows that she needs 3 kg of grass seed to make a rectangular lawn 5 m by 9m.
Grass seed is sold in 2 kg boxes,
Maisie wants to make a rectangular lawn 10 m by 14 m,
She has 5 boxes of grass seed
To Find, Has Maisie got enough grass seed to make a lawn 10m by 14 m
Solution:
3 kg of grass seed to make a rectangular lawn 5 m by 9m.
=> 3 kg of grass seed needed for 5 x 9 = 45 m²
=> 1 m² required = 3/45 kg seed
a rectangular lawn 10 m by 14 m,
area = 10 x 14 = 140 m²
Hence 140 m² required = 140 x 3/45 = 9.33 kg
Grass seed is sold in 2 kg boxes,
She has 5 boxes of grass seed
Hence total seeds = 5 x 2 = 10 kg
Therefore, total seeds required 9.33 kg and she has 10 kg.so, she has enough grass seed to make a lawn 10m by 14 m.
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when vlad moved to his new home a few years ago, there was a young oak tree in his backyard. he measured it once a year and found that it grew by 26 2626 centimeters each year. 4.5 4.54, point, 5 years after he moved into the house, the tree was 292 292292 centimeters tall. how tall was the tree when vlad moved into the house? centimeters how many years passed from the time vlad moved in until the tree was 357 357357 centimeters tall?
we can use the information given about its growth rate and the height after 4.5 years:So, it took 7 years from the time Vlad moved in until the tree was 357 centimeters tall.
Height increase per year = 26 centimeters
Years since Vlad moved in = 4.5 years
Height after 4.5 years = 292 centimeters
To calculate the initial height of the tree, we can multiply the growth rate by the number of years and add it to the starting height:
Initial height = Height after 4.5 years - (Height increase per year x Years since Vlad moved in)
Initial height = 292 - (26 x 4.5)
Initial height = 168 centimeters
Therefore, the tree was 168 centimeters tall when Vlad moved into the house.
To find out how many years passed from the time Vlad moved in until the tree was 357 centimeters tall, we can use the same formula and solve for the number of years:
Height increase per year = 26 centimeters
Initial height = 168 centimeters
Final height = 357 centimeters
To calculate the number of years, we can rearrange the formula as follows:
Years = (Final height - Initial height) / Height increase per year
Years = (357 - 168) / 26
Years = 6.04 years (rounded to two decimal places)
Therefore, it took approximately 6 years and 1 month for the tree to grow from 168 centimeters to 357 centimeters tall.
To determine the height of the oak tree when Vlad moved into the house, we can use the given information. The tree grows by 26 centimeters each year, and it was 292 centimeters tall after 4.5 years.
First, let's find the total growth during the 4.5 years:
26 cm/year * 4.5 years = 117 cm
Now, subtract the total growth from the current height to find the initial height:
292 cm - 117 cm = 175 cm
So, the oak tree was 175 centimeters tall when Vlad moved into the house.
To find out how many years passed until the tree was 357 centimeters tall, we can use the growth rate again:
First, find the difference in height between the target height (357 cm) and the initial height (175 cm):
357 cm - 175 cm = 182 cm
Now, divide the difference in height by the growth rate to find the number of years:
182 cm / 26 cm/year = 7 years
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The range for the Kentucky temperatures is . The range for the Illinois temperatures is . The IQR for the Kentucky temperatures is . The IQR for the Illinois temperatures is . The box plots show
The boxplot required to answer the questions is attached below :
Answer:
The range for the Kentucky temperature :
(58.3 - 52.2) = 6.1
The range for the Illinois temperature :
(55 - 49.9) = 5.1
The IQR for the Kentucky temperature :
(57.3 - 54.5) = 2.8
The IQR for the Illinois temperature :
(53.3 - 50.9) = 2.4
Step-by-step explanation:
Range = maximum - minimum
Maximum and minimum values are given by the values at the end and start of the whisker.
The range for the Kentucky temperature :
(58.3 - 52.2) = 6.1
The range for the Illinois temperature :
(55 - 49.9) = 5.1
IQR = Q3 - Q1
Q3 = Value at the end of the box
Q1 = value of start of box
The IQR for the Kentucky temperature :
(57.3 - 54.5) = 2.8
The IQR for the Illinois temperature :
(53.3 - 50.9) = 2.4
Answer:
The range for the Kentucky temperatures is ✔ 6.1
The range for the Illinois temperatures is ✔ 5.1
The IQR for the Kentucky temperatures is ✔ 2.8
The IQR for the Illinois temperatures is ✔ 2.4
The box plots show ✔ more variation for Kentucky
Step-by-step explanation:
I just did it and got it correct.
if gabby knows she wants to order a soft drink for $1.55, then what is the maximum amount of money she can spend on food to not exceed her $10.00 budget?
The probability that a person has immunity to a particular disease is 0.6. Find the mean for the random variable X, the number who have immunity in samples of size 26.
The mean for the random variable X, the number who have immunity in samples of size 26 is 15.6.
The mean for the random variable X, the number who have immunity in samples of size 26 can be found using the formula:
Mean (μ) = n x p
where n is the sample size and p is the probability of having immunity to the disease.
So, in this case, the mean would be:
Mean (μ) = 26 x 0.6
Mean (μ) = 15.6
Therefore, the mean for the random variable X, the number who have immunity in samples of size 26, is 15.6. This means that, on average, we can expect 15.6 people out of a sample of 26 to have immunity to the disease.
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A circle has a radius of 9 cm.
Work out the area of the circle.
Give your answer in terms of pi.
Radius = 9cm
So,
Area of circle = πr²
= π(9)²
= π × 81 cm²
= 81π cm²
Answer:
254.469 cm
Step-by-step explanation:
area = πr^2
π × 81 = 254.469005 rounded to 254.469 cm
in other terms, 81π cm^2