Answer:
Diane is faster since her speed is higher.
Step-by-step explanation:
We can find each speed in yards per second.
Tom:
25 yards / 4 seconds = 6.25 yards/second
Diane:
20 yards / 3 seconds = 6.67 yards/second
Diane's speed is higher, 6.67 yd/s vs 6.25 yd/s, so Diane is faster.
Answer: Diane is faster since her speed is higher.
A line passes through the point (4, -6) and has a slope of 4. Which is the equation of the line?
Answer:
It is even clearer if we put it in the chart
2.25 + 65.47 + 2.333
Answer:
The answer is 70.05300.
A and B are similar cuboids.
surface area of A: surface area of B = 25 : 36
Work out volume of A: volume of B
A 5:6
B 125 : 216
C 25 : 36
D 625 : 1296
Answer:
B. 125 : 216Step-by-step explanation:
Surface area of cuboid A with side a is:
6a²Same for cuboid B with side b:
6b²Ratio of surface areas:
6a² : 6b² = 25 : 36 ⇒a² : b² = 25 : 36 ⇒a : b = 5 : 6Volumes of A and B are:
a³ and b³And their ratio is:
a³ : b³ = 5³ : 6³ ⇒a³ : b³ = 125 : 216Correct option is B
Answer:
B. 125 : 216
Step-by-step explanation:
The graphs below have the same shape. What is the equation of the blue
graph?
f(x) = x²
g(x) = ?
A. g(x) = (x - 3)2 + 1
B. g(x) = (x + 3)2 + 1
C. g(x) = (x - 3)2 - 1
O D. g(x) = (x + 3)2 - 1
The correct answer is A. g(x)=(x-3)^2+1
The equation of the blue graph is g(x) = (x - 3)² + 1.
Option A is the correct answer.
What is an equation?An equation contains one or more terms with variables connected by an equal sign.
Example:
2x + 4y = 9 is an equation.
2x = 8 is an equation.
We have,
Since the graphs of f(x) and g(x) intersect at (1.5, 2.5), we can substitute these values into the equations and solve for the constant term:
f(1.5) = g(1.5)
1.5² = g(1.5)
2.25 = g(1.5)
Therefore, we know that the vertex of g(x) is (1.5, 2.25).
Also, since the graphs have the same shape, we know that the vertex of g(x) is obtained by shifting the vertex of f(x) horizontally by the same amount, which is 3 units to the right.
So, the equation of the blue graph can be obtained by replacing x with (x-3) in the equation of the green graph:
g(x) = (x - 3)² + 1
Expanding this equation, we get:
g(x) = x² - 6x + 9 + 1
g(x) = x² - 6x + 10
g(x) = x² - 2 x 3x + 9 + 1
g(x) = (x - 3)² + 1
Therefore,
The equation of the blue graph is g(x) = (x - 3)² + 1.
Learn more about equations here:
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Someone help me please
Please friend I do not know
20 POINTS
The price of a car has been reduced from $24,000 to $14,880. What is the percentage decrease of the price of the car?
Decrease of price = $24,000 - $14,880
=> $9,120
Percentage decrease = 9120/24000×100
=> 38%
BRAINLIEST TO CORRECT ANSWER!
The amount of energy taken in by a plant in the form of solar radiant energy, should be equal to the sum of the amount of energy that the plant uses in life processes such as growing and respiration.
Group of answer choices
True
False
Answer:
True
Step-by-step explanation:
In order to grow, a plant needs all the radient energy that it can get.
Write the equation in exponential form.
Log3 1/9=-2
O 3=9-2
O 1/9=3^-2
O 9=3^2
O 3=3^1
Answer:
a
Step-by-step explanation:
Answer: The correct answer is B. 1/9=3^-2
Step-by-step explanation:
The loudness, L, of a sound (measured in decibels, dB) is inversely proportional to the square of the distance, d
from the source of the sound.
A person 14 feet from a jetski, it is 85 decibels loud.
How loud is the jetski when the person is 41 feet away? (Round to 3 decimal places.)
dB
Answer:
L = 9.91 decibels.
Step-by-step explanation:
The loudness, L is inversely proportional to the square of the distance, d, from the source of the sound.
i.e L [tex]\alpha[/tex] [tex]\frac{1}{d^{2} }[/tex]
L = [tex]\frac{k}{d^{2} }[/tex]
Where k is the constant of proportionality.
When d = 14 feet and L = 85 dB, then;
k = L x [tex]d^{2}[/tex]
= 85 x [tex](14)^{2}[/tex]
= 16660
k = 16660
L = [tex]\frac{16660}{d^{2} }[/tex]
Thus, when d = 41 feet, then;
L = [tex]\frac{16660}{(41)^{2} }[/tex]
= [tex]\frac{16660}{1681}[/tex]
= 9.91077
L = 9.91 dB
The loudness is 9.91 decibels.
The school principal is designing a square courtyard outside of the school, separated into 4
equal spaces. She wants to know the total area of the courtyard.
what is the total area if each smaller space is 5 feet on each side
Answer:
Students will gain an appreciation for the study of mathematics. In ... (I.3.6) The area of the surface of a sphere is described by the formula
Step-by-step explanation:
Correct me if I'm wrong! :)
Answer:
Its 100
Step-by-step explanation:
I took the quiz and got it right
What is the value of x?
Answer:
the value of X is 10x
Step-by-step explanation:
Make a table of values for f(x) after the given translation 3 units up
Answer:
In this case, we do not have the table, so i will answer in a general way:
First, let's describe the transformation.
Vertical shift.
If we have a function f(x), a vertical shift of N units is written as:
g(x) = f(x) + N
This will move the graph of f(x) up or down a distance of N units.
if N is positive, then the shift is upwards
if N is negative, then the shift is downwards.
Then a shift of 3 units up, is written as:
g(x) = f(x) + 3
This would be translated to the table in the next way:
You need to add 3 to all the values of y (or f(x)) in the table:
So if for example, the original table was:
x f(x)
0 5
1 7
2 10
3 15
The table of the transformation will be:
x g(x)
0 5 + 3 = 8
1 7 + 3 = 10
2 10 + 3 = 13
3 15 + 3 = 18
Write the ratio of height of the building to the number of floors. Then, find the unit rate, and explain what it means in this situation. Fill in the correct answers to complete the sentences.
The ratio of height of the building to the number of floors is nothing. The unit rate is nothing. This means that each floor of the building is nothing ft high.
Answer:
I love a building that's nothing feet high
Step-by-step explanation:
Can that building be my new home?
Carl button airline ticket two weeks ago the cost of this flight was $300 what is the percent increase
(1 point) Find the size of the sample needed to estimate the difference between the proportions of boys and girls under 10 years old who are afraid of spiders. Assume that we want 9595% confidence that the error is smaller than 0.03.
Answer:
The size of the sample = 1088.90
Step-by-step explanation:
Given that:
The confidence interval level = 0.95
The margin of error = 0.03
Suppose the proportion of the boys and the girls are p₁ and p₂ respectively.
The Standard error S.E of difference is:
[tex]S.E (p_1-P_2) = \sqrt{ \dfrac{p_1(1-p_1) }{n} + \dfrac{p_2(1-p_2)}{n} }[/tex]
Assume p₁ = p₂ = 0.5
[tex]S.E (p_1-P_2) = \sqrt{ \dfrac{0.5(1-0.5) }{n} + \dfrac{0.5(1-0.5)}{n} }[/tex]
[tex]S.E (p_1-P_2) =\dfrac{0.70711}{\sqrt{n}}[/tex]
The z-critical value at 95% C.I = 1.96
Margin of error = Z_{critical} × S.E
∴
[tex]0.03 = 1.96 \times \dfrac{0.70711}{\sqrt{n}}[/tex]
[tex]n =\dfrac{\left(1.96\ \cdot\ 0.70711^{2}\right)}{0.03^{2}}[/tex]
n ≅ 1088.90
create an equivalent expression for 4t-18-t+2t+20
Answer:
5t + 2
General Formulas and Concepts:
Algebra I
Combining Like TermsStep-by-step explanation:
Step 1: Define Expression
4t - 18 - t + 2t + 20
Step 2: Simplify
Combine like terms (t): 5t - 18 + 20Combine like terms (Z): 5t + 2Answer:
5 t + 2
That's the answer
Which unit price is the highest?
turnips for $1.51 per pound
peppers for $1.62 per pound
carrots for $1.26 per pound
celery for $1.48 per pound
Please help me out!
Answer:peppers
Step-by-step explanation:
Answer:
peppers for $1.62 per pound
Step-by-step explanation:
i took the test
will give brainliest plz help me!
Answer:
II and III
Step-by-step explanation:
You go out to eat at the Outback Steakhouse. Your meal, drink and desert cost $38.56. You are
going to leave the waitress at 15% tip. How much money will you leave the waiter and what is
the total cost of the meal?
I
Answer:
44.34
Step-by-step explanation:
[tex]15 \div 100 \times 38.56 = [/tex]
[tex] = 5.78[/tex]
[tex]38.56 + 5.78 = 44.34[/tex]
James bought a new digital camera for $175.00. He pays a sale ax of 7.2%. What was the total of the camera
Answer:
187.6 i think
Step-by-step explanation:
Answer:
$187.60
Step-by-step explanation:
Find 7.2% of the price to figure out the sales tax:
7.2% * 175 / 100% = $12.60
Add the sales tax to the original price:
$12.60 + $175.00 = $187.60
I need help I don’t understand number lines
Answer:
Well according to the number line shown, it is in the negative area and if you see this it is near -6.5, all you need to do is count the spots until it hits the circle which is -6.8
Step-by-step explanation:
Answer:
Step-by-step explanation:
- 6.8.... just count the tenths marks.. 6.1,6.2,6.3... ect, ect
Arianna has $0.70 worth of nickels and dimes. She has 4 more dimes than nickels. By
following the steps below, determine the number of nickels, x, and the number of
dimes, y, that Arianna has.
Determine three ways to have 4 more dimes than nickels:
Who can solve this for me?
Answer:
x=2 and y=6
Step-by-step explanation:
thee isn't any other way im sorry but there isn't here is a list:
1 nickel = $0.05 and 5 dimes =$0.50 = $0.55
2 nickels = $0.10 and 6 dimes = $0.60 = $0.70
3 nickels = $0.15 and 7 dimes = $0.75 = $0.85
4 nickels = $0.20 and 8 dimes = $0.80 = $1.00
5 nickels equal $0.25 and 9 dimes equals $0.90 = $1.15
so as you can see the more you add the higher the number gets and if its any lower it won't be enough sorry if you really needed that last part
Here's a graph of a linear function. write the equation that describes that function.
Answer:
Step-by-step explanation:
slope intercept form => Y = mx + b
find m... the slope by using any two points on the line
p1 = (0,5) by inspection
p2=(4,6) by inspection
find m = y2-y1 / x2-x1
m = 6 - 5 / 4 - 0
m =1 / 4
then use the slope intercept formula
y = 1/4x + 5 for your answer. we know b = 5 b/c thats where the line crosses the y axis.
y = [tex]\frac{1}{4}[/tex]x + 5 is the answer
2/5 divided by 1 7/8
0.21333333333
answer:
Answer:
0.213
Step-by-step explanation:
I used a calculator :)
Answer the following question please
Answer:
∠MON = 98°
Step-by-step explanation:
It is given that ∠LON is a straight line.
∠MON = 3x+89
and
∠LOM = 8x+58
If LON is a straight line. It means,
∠MON + ∠LOM = 180 (Linear pair)
Putting values,
3x+89 + 8x+58 = 180
11x + 147 = 180
11x = 180-147
11x = 33
x = 3
So, ∠MON = 3(3)+89
= 9+89
= 98
Hence, the value of ∠MON is equal to 98°.
Tim flips a weighted coin 6 times and gets 2 tails. What is the experimental probability that the next flip will come up tails?
Answer:
1/3
Step-by-step explanation:
bc 2/6 reduces to 1/3
Determine the x-intercept of the line whose equation is given: y = x/2 - 3
a. (6,0)
b. (-6,0)
c. (0, 3/2)
d. (- 3/2,0)
Answer:
(6,0)
Step-by-step explanation:
To find the x-intercept, plug in 0 for y (because the x intercept is on the x axis) and find x.
0 = x/2 - 3
3 = x/2
x = 6
Decide which estimate is closer to the actual answer. Explain your reasoning as store bought 25lb of produce if store spent $110.90 about how much does the produce cost per pound in dollars? 0.04,0.4,4,40 (b) a 6 pack of juice boxes contains 54.6 oz of juice in total about how many ounces of juice does each juice box contain ? 0.9,9,90,900 (c) in 20 L of air there is about 0.42 L of carbon dioxide about how many liters of carbon dioxide are there in 1 L of air 0.02,0.2,2,20
you can buy 3 candy bars at the quick market for 2.17. how many candy bars can you buy with 17.36?
A microwave is priced at $320.50. There is a 4% sales tax rate. What is the sales tax for the microwave in dollars and cents?
Answer:
$333.32 hope this helps have a nice day please give me brainliest :)
Step-by-step explanation: