Answer:
Percent change in the price of gas is [tex]9.85\%[/tex]
Step-by-step explanation:
Percentage change equals the change in value divided by the absolute value of the original value, multiplied by .
[tex]\text { Percentage Change }=\frac{\Delta V}{\left|V_{1}\right|} \times 100[/tex]
Here
[tex]\Delta V=2.26-2.03\\\\=0.23\$/gallon[/tex]
[tex]V_{1}=2.03\$/gallon[/tex]
The percent change in the price of gas
[tex]=\frac{0.23}{2.03} \times100\\\\=9.85\%[/tex]
Percent change in the price of gas is [tex]9.85\%[/tex]
An angle of 90° measures (___) Pi radians.
An angle of -pi/5 radians measures ____?
°.
[tex]\huge \bf༆ Answer ༄[/tex]
Conversion from degree to radian ~
[tex] \boxed{ \sf{ \frac{\pi}{180} \times \theta }}[/tex][tex] \sf \dfrac{\pi}{180 } \times 90[/tex][tex] \sf \dfrac{\pi}{2} \: \: rad[/tex]Conversion from radians to degree ~
[tex] \boxed{ \sf{ \frac{180}{\pi} \times \theta}}[/tex][tex] \sf \dfrac{180}{\pi} \times - \dfrac{ \pi}{5} [/tex][tex] \sf - 36 \degree[/tex]The required measures of the angles in radians and degree are given as π/2 radians and -36° respectively.
What are the angle?Orientation of the one line with respect to the horizontal or other respective line is known as a measure of orientation and this measure is known as the angle.
here,
An angle of 90° measures
in radians,
angle = π/180 × Ф
angle = π/180 × 90 = π/2 radians
Similarly,
An angle of -pi/5 radians
in degrees,
angle = 180 / π × -π/5
angle = -36°
Thus, the required measures of the angles in radians and degree are given as π/2 radians and -36° respectively.
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A golfer takes an uphill shot towards the hole, and they make the shot. The path of the ball can be modeled by the equation y=-5^2– 40x– 10, where x is the horizontal distance and y is the vertical distance traveled by the ball in meters. How much higher is the hole than the spot from where the shot was taken? The hole is meters higher What was the maximum height above the hole that the ball reached while it was in the air? meters The maximum height that the ball reached above the hole was What was the horizontal distance that the ball traveled from the point that the shot was taken to the hole? Round your ai the nearest tenth of a meter. meters. The horizontal distance covered by the ball was
Answer:
Solve for n
n=log5 (− 2 /y −20x−5),y<−40x−10
Step-by-step explanation:
A population numbers 18,000 organisms initially and grows by 16% each year.
Answer:
The answer is 20,880
Step-by-step explanation:
This won't be a very long explanation. What I did was add 18,000 plus 16% and I got 20,880.
Hope this helps!
Have a nice day/night/afternoon.
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Which expression is equivalent to 53p + (16p + 7p)
Answer:
u777766665655566667777777777777
76p is the equivalent expression of 53p + (16p + 7p)
What is Expression?An expression is combination of variables, numbers and operators.
The given expression is 53p + (16p + 7p)
Fifty three times of p plus sixteen p plus seven p.
In the given expression p is the variable and plus is the operator.
We need to find the equivalent expression.
Equivalent expressions are expressions that work the same even though they look different.
53p + (16p + 7p)
76p
Hence, 76p is the equivalent expression of 53p + (16p + 7p)
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Michael drove 638 miles in 11 hours.
At the same rate, how many miles would he drive in 8 hours?
she will drive 754 miles in 13 hrs.
An auto insurance company classifies each motorist as "high risk" if the motorist has had at least one moving violation during the past calendar year and "low risk" if the motorist has had no violations during the past calendar year. According to the company's data, a high-risk motorist has a 50% chance of remaining in the high-risk category the next year and a 50% chance of moving to the low-risk category. A low-risk motorist has a 90% chance of moving to the high-risk category the next year and a 10% chance of remaining in the low-risk category. In the long term, what percentage of motorists fall in each category? (Round your answers to two decimal places.)
high-risk category %
low-risk category %
The percentage of motorists falling in each category, in the long term, are as follows:
High-risk category = 70%
Low-risk category = 30%
Data and Calculations:
Risk Profile Categories of Motorists
High Risk Low Risk
Probability of remaining
in the same category 50% 10%
Probability of moving to another
category 50% 90%
Probability a motorist falling in the high-risk category = (50% x 50%) + (50% x 90%)
= 25% + 45%
= 70%
Probability a motorist falling in the low-risk category = (50% x 50%) + (50% x 10%)
= 25% + 5%
= 30%
Thus, the probability of a motorist falling in the high-risk category is 70%, while the probability of a motorist falling in the low-risk category is 30%.
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QUESTION 16 PLEASE HELP ME ASAPP
Answer: changes over time
Step-by-step explanation: it is always decreasing
To indirectly measure the distance across a river, Khalil stands on one side of the river
and uses sight-lines to a landmark on the opposite bank. Khalil draws the diagram
below to show the lengths and angles that he measured. Find PR, the distance across
the river. Round your answer to the nearest foot.
N
RI
185 ft
150 ft
0
275 ft
(Diagram is not to scale.)
ft
Submit Answer
Answer:
Khalil uses the method of similar triangles to find the distance across the river, [tex]\overline{PR}[/tex]
The distance across the river is [tex]\underline{308.\overline 3 \ feet}[/tex]Reasons:
The distances between the formed the sight-lines are;
[tex]\overline{RB}[/tex] = 185 feet
[tex]\overline{OC}[/tex] = 275 feet
The distance between the point close to the river and the next point further from the river [tex]\overline{RO}[/tex] = 150 feet
In triangles ΔPRB and ΔPOC, we have;
∠PRE = ∠POC = 90° Given
∠PER ≅ ∠PCO By corresponding angle formed between two parallel lines and a common transversal.
∴ ΔPRE is similar to ΔPOC by Angle-Angle, AA, similarity theorem
Which gives;
[tex]\displaystyle \frac{\overline {PR}}{\overline {PO}} = \mathbf{\frac{\overline {RE}}{\overline {OC}}}[/tex]
Let x represent the distance across the river, we have;
[tex]\overline{PR}[/tex] = x
[tex]\overline{PO}[/tex] = 150 + x
Which gives;
[tex]\displaystyle \frac{x}{150 + x} = \frac{185}{275}[/tex]
275·x = 185 × (150 + x) = 27,750 + 185·x
275·x - 185·x = 27,750
90·x = 27,750
[tex]\displaystyle x = \frac{27,750}{90} = \mathbf{308.\overline 3}[/tex]
Therefore, the distance across the river, x = [tex]\mathbf{\overline{PR}}[/tex] = [tex]\underline{308.\overline 3 \ feet}[/tex]
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What is an equation of the line with slope 6 and y-intercept -4?
Answer:
y = 6x - 4
General Formulas and Concepts:
Algebra I
Slope-Intercept Form: y = mx + b
m - slope b - y-interceptStep-by-step explanation:
Step 1: Define
Identify variables.
m = 6
y = -4
Step 2: Find Equation
Substitute in variables [Slope-Intercept Form]: y = 6x - 4.I want a way to solve this question
Check the picture below.
so then γ ≈ 180 - 69 - 43, γ ≈ 68.
what is linear independent vector
For her phone service, Kala pays a monthly fee of $24, and she pays an additional $0.07 per minute of use. The least she has been charged in a month is $118.64.
What are the possible numbers of minutes she has used her phone in a month?
Use m for the number of minutes, and solve your inequality for m.
Answer:
m=1352
Step-by-step explanation:
(118.64-24)/0.07=m
Sharon wants to buy a shirt that cost $60. The sales tax is 5%. How much is the sales tax. What is her total cost for the shirt?
The camp cook needed 2172 ounces of juice each day each carton of juice contains 64 ounces the Cook estimated that he needed 30 cartons of juice each day which expression proves that his estimate is incorrect
Answer: 384
Step-by-step explanation:
Question 7
Charlie asked a random sample of both boys and girls how much time they had spent on math homework that week. Charlie displayed his data in the box plots below
Minutes Spent on Homework
Boys
Girls
10 20 30
50 60 70
Which statement is a correct inference based on this data?
А
The amount of time spent on homework is less variable for the boys than for the girls
B
The amount of time spent on homework is generally greater for the boys than for the girls
С
The percentage of boys who spent less than the median amount of time on homework is less than the percentage of girls who spent less than the median
D
The data for the boys has a greater range of values than does the data for the girls
62021 Iluminate Education, Inc
The percentage of boys who spent less than the median amount of time is less than the number of girls who spent less than the median amount of time in doing the homework.
The median is a measure of central tendency. The median of a given data set shows the middle number in a given set of scores when they arranged in ascending or descending order.
The box plots in the question shows the random sample of both boys and girls how much time they had spent on math homework in a week. We can see from the box plot that the percentage of boys who spent less than the median amount of time is less than the number of girls who spent less than the median amount of time in doing the homework.
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please help with this!!!!
Answer:
6311000
Step-by-step explanation:
The first thing we do is calculate the total amount of people in both states. 6.89 x10 raised to the 6th power is equal to 6890000. Then we multiply 5.79 by 10 to the fifth power, which equals to 579000. Then we subtract the numbers, and get 6311000. They want you to answer in standard notation, which is the regular way of writing numbers such as 10, instead of 10^1.
The difference in population
[tex] = (6.89 \times {10}^{6} ) - (5.79 \times {10}^{5} ) \\ = (6.89 \times 10 \times {10}^{5} ) - (5.79 \times {10}^{5} ) \\ = (68.9 \times {10}^{5} ) - (5.79 \times {10}^{5} ) \\ = (68.9 - 5.79) \times {10}^{5} \\ = 63.11 \times {10}^{5} [/tex]
Answer:
[tex]63.11 \times {10}^{5} [/tex]
Hope you could get an idea from here.
Doubt clarification - use comment section.
find the equation of the line that is perpendicular to the given line and passes through the given point. CD; (-2,1). C cornet point is (2,13). D cornet point is (5,7).
Answer:
x -2y = -4
Step-by-step explanation:
The slope of the line between points C and D is ...
m = (y2 -y1)/(x2 -x1)
m = (7 -13)/(5 -2) = -6/3 = -2
The slope of the perpendicular line is the opposite reciprocal of this: -1/(-2) = 1/2. The point-slope equation of the desired line is ...
y -k = m(x -h) . . . . line with slope m through point (h, k)
y -1 = 1/2(x -(-2))
We can rearrange this to standard form.
2y -2 = x +2 . . . . . multiply by 2
-4 = x -2y . . . . . . . subtract 2y+2
x -2y = -4 . . . . . . standard form equation of the desired line
Customers at Musicland can buy 4 DVDs for $15. How many DVDs can April buy at Musicland with $75?
Answer:
20 I believe because 15 divided by 4 is 3.75 so I then divided 75 by 3.75 giving me 20:)
This question has two parts. First, answer Part A. Then, answer Part B.
Part A
Fill in the blank question.
Cassie wants to purchase a pair of binoculars that is on sale for $155.75. The sales tax rate in his county is 7%.
Calculate the amount of sales tax Cassie will pay on the purchase. Round to the nearest cent if necessary.
sales tax: $
Listen to the complete question
Part B
Fill in the blank question.
How much will Cassie pay in all for the pair of binoculars after sales tax is included? Round to the nearest cent if necessary.
total cost: $
Answer:
$10.12
Step-by-step explanation:
Step one:
given data
we are told that the cost of binoculars is $155.75
and also the sales tax is 7%
Step two:
We want to first solve for the sales tax which is 7% of $155.75
=7/100* 155.75
=0.070*155.75
=10.12
Cassie will pay a tax of $10.12
Also Cassie will pay a total amount of
= 155.75+10.12
=$165.87
PLS HELP!!!!!! (again! XP)
Express each of these numbers, as a product of two fractions 2/25
plz help me to answer
Answer:
for 3, 4 or both?
4. is probably zero
Step-by-step explanation:
Wait is 4 a question?
[tex]cos^2 x + \cos^2 y = \cos(2x + 2y)\\\\\implies \dfrac{d}{dx} (\cos^2 x + \cos^2 y) = \dfrac{d}{dx} \cos(2x+2y)\\\\\implies -2\cos x \sin x -2 \cos y \sin y \dfrac{dy}{dx}=-\sin(2x+2y) \left(2+2\dfrac{dy}{dx} \right) \\\\\implies -2\cos x \sin x -2 \cos y \sin y \dfrac{dy}{dx}=-2\sin(2x+2y) -2\sin(2x+2y)\dfrac{dy}{dx} \right) \\\\\implies 2 \sin(2x+2y) \dfrac{dy}{dx} - 2 \cos y \sin y \dfrac{dy}{dx} = 2 \cos x \sin x-2\sin(2x+2y)[/tex]
[tex]\implies \sin(2x+2y) \dfrac{dy}{dx} - \cos y \sin y \dfrac{dy}{dx} = \cos x \sin x-\sin(2x+2y)\\\\\implies \dfrac{dy}{dx} [\sin(2x+2y) - \cos y \sin y] = \cos x \sin x-\sin(2x+2y)\\\\\implies \dfrac{dy}{dx} [\sin(2x+2y) - \cos y \sin y] = \cos x \sin x-\sin(2x+2y)\\\\\implies \dfrac{dy}{dx} = \dfrac{\cos x \sin x-\sin(2x+2y)}{\sin(2x+2y) - \cos y \sin y}\\\\\implies y'(x) = \dfrac{\cos x \sin x-\sin(2x+2y)}{\sin(2x+2y) - \cos y \sin y}[/tex]
LAST ATTEMPT MARKING AS BRAINLIEST!! ( graph the image of the figure using the dilation given )
Step-by-step explanation:
follow the steps in the picture. I've started it for you all you need to do is finish
I don’t understand, please help
Answer:
cosA=root8/3 is the answer
Help me with my math please
Step-by-step explanation:
1 _21:00_ , _22:10_, 1:10
2. 1:20
3. 18:00
4. 21:35
1. 21:00, 22:10, 1 hr and 10 minutes
2. 20 minutes
3. 18:40
4. 21:35
Please help with this question please and thank you
Answer:
I need help with this too!!!
Step-by-step explanation:
Answer:
what does it mean?
Step-by-step explanation:
I do not understand.
How do you solve this??
Answer:
look it up in internet and find th right answers
Answer:
g(x)=3|x| is the first box
f(x)=1/3|x| is the second box
Step-by-step explanation:
you can solve these type of questions by looking at the slope which is in front of the x.
since 1/3 is smaller than 3 it's going to have lower slope resulting in 3 to incline faster
I will give crown thing
On a map of Northern Virginia, 1 inch = 4 miles. The distance from Springfield to Dulles International Airport is 5.8 inches on the map. What is the actual distance to the airport?
Answer:
23.2 miles
Step-by-step explanation:
You just need to multiply de number of inches by the number of miles that values 1 in. Therefore
4 multiplied by 5.8 = 23.2
Answer:
The actual distance to the airport is 23.2 miles.
Step-by-step explanation:
1 inch = 4 miles
5.8 · 4 = 23.2
Since the distance to the Airport is 5.8 inches, you will multiply it by 4. You do this because 1 inch = 4 miles.
can someone please explain this question
A flagpole has a 10 foot shadow. A soldier standing next to it is 6 foot tall and has a 2 foot shadow. How tall is the flagpole?
Answer:
30 feet tall flag pole
Step-by-step explanation:
Un
número formado por 22 centenas,
515 unidades 1765 décimas, ¿cuantas
milésimas tiene?
Hay cero milésimas en los parámetros dados.
El valor posicional se refiere al valor representado por un dígito en un número sobre la base de su posición en el número.
De los parámetros dados:
22 centenas ⇒ 2200515 unidades ⇒ 5151765 décimas ⇒ 176.5Si sumamos los valores juntos, podremos determinar la cantidad de milésimas que tenemos:
= 2200+515+176.5
= 2891.5
Por tanto, podemos concluir que hay cero milésimas en los parámetros.
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