An Uber driver carries riders to and from a local airport and a neighboring suburb. Due to traffic and the time of day the driver works, the trip to the airport takes 60 minutes longer than the trip to the suburb. The car’s average speed in traffic is 30 miles per hour. Without traffic, the car travels 15 miles per hour. The equation can be used to determine how many miles apart the two locations are shown. What is the value of m, the distances between the two locations?
A) 0.5 miles
B) 22.5 miles
C) 30 miles
D) 90 miles
A neighborhood swim club charges a one-time fee of $25 to join and $85 each month. If n is the number of months of membership and t is the total amount spent, then the variables are related by the equation t = 85n + 25. Which variable is the independent variable?
please show me how to solve ... -12x - 17 = -89
How to find equation of axis of symmetry when given 2 points?
When you sign up for a movie service, you get three free months of movies. Then you are charged $15 per month to rent movies. If you pay $90, how many months of use do you get?
If my son was born june 2016 what year will he graduate high school
What is the perimeter of the rectangle shown on the coordinate plane, to the nearest tenth of a unit?
13.4 units
17.9 units
26.8 units
40.0 units
During summer months, one ice cream trucks come 4 days another 5 days. If both trucks came today, when is the next time both would be here on the same day?
What is the 6th value in the sequence with the explicit formula an=−2n−14?
A −26
B −12
C −10
D 6
Gerald bought a home for $300,000. His largest up–front cost is 10 percent, or $30,000. What is this cost called?
Answer:
The answer is down payment.
Step-by-step explanation:
Gerald bought a home for $300,000. His largest up–front cost is 10 percent, or $30,000.
This cost is called down payment.
Down payment is an amount in cash that is given while purchasing a home. This lies between 5% to 20% of the purchase price.
This payment reduces the amount of money you will have to borrow from banks. Each loan requires some sort of down payment.
Please helppp
(750/512)^1/3
what is equivilant to this??
Answer:
[tex]\frac{5\sqrt[3]{6}}{8}[/tex]
Step-by-step explanation:
We have been given an exponential number. We are supposed to simplify our given number.
[tex](\frac{750}{512})^{\frac{1}{3}[/tex]
Using fractional exponent rule [tex]x^\frac{m}{n}=\sqrt[n]{x^m}[/tex], w ecan write our given number as:
[tex](\frac{750}{512})^{\frac{1}{3}}=\sqrt[3]{(\frac{750}{512})^1}[/tex]
[tex](\frac{750}{512})^{\frac{1}{3}}=\sqrt[3]{\frac{750}{512}}[/tex]
We can rewrite 512 as [tex]8^3[/tex] and 750 as 125*6.
[tex](\frac{750}{512})^{\frac{1}{3}}=\sqrt[3]{\frac{125*6}{8^3}}[/tex]
We can rewrite 125 as [tex]5^3[/tex]
[tex](\frac{750}{512})^{\frac{1}{3}}=\sqrt[3]{\frac{5^3*6}{8^3}}[/tex]
Using radical rule [tex]\sqrt[n]{a^n}=a[/tex], we will get:
[tex](\frac{750}{512})^{\frac{1}{3}}=\frac{5\sqrt[3]{6}}{8}[/tex]
Therefore, [tex]\frac{5\sqrt[3]{6}}{8}[/tex] is equivalent to our given number.
I have a math question
For
the first question; we have a problem dealing with translations.
Our goal is to translate
the word problem into an algebraic one. So our numbers are
60, 2, and 5. Our variable, or the letter holding the unknown
number's place
value, is
N.
The
problem states that 60 is MORE THAN the PRODUCT of 5 and N. Focus
on the words I bolded and capitalized. These are your key words that
tells you what operations
you need to use. Note that 'product' signals the operation of
multiplication (Since the answer you get from multiplying numbers is
called the 'product'.) and
'more than' signals the operation of addition (Because you are left
off with more than you originally had before adding).
Now
that we know that our algebraic expression contains multiplication,
addition, letter N and the numbers 2 and 5; we can start plugging the
numbers in.
60
= 2 (more than) + (product of) 5N. The answer for the first
attachment is
B.
_____________________________________________________________
All
we need to do for the AB problem (Question 25 on your material) is
solve AB.
Note
1: When a problem has no operation separating two letters or numbers,
this means multiplication.
Note
2: A and B are variables. Variables are letters that stand for and
hold the place of our unknown quantities. However, the values are not
unknown anymore given the fact that the question tells us that A= 42
and B = 2. Thus we substitute A with 42 and B with 2, then work from
there. 42 * 2 =84. Answer = A.
____________________________________________________________________
And
finally, for question 26, we use PEMDAS. P = parenthesis (), E =
exponent x^2, M/D = x or /, A/S means + or subtraction.
According to PEMDAS, we first solve what's parenthesis, which is 77 – 32. Using mental math, 77 – 32 = 45. ( 7 – 3 = 4 and 7 – 2 = 5.). 5/9 * 45 is what we have left. 5 divided by 9 =0.5555555555555556. 0.5555555555555556 * 45 = 25. Answer is D.
Riki rides her bike 26 miles every week. What is the total numbers of miles she will ride in one dozen. What is the total number of miles she will ride in 7 weeks
How can you find the x-intercept of the graph of a linear equation using the equation? How is using the graph of a linear equation to find the intercepts like using the equation?
The volume of a rectangular prism is 18 cubic ft. If the width is 6ft. and the height is 3ft. what is the length
Malachi took cans to the recycling plant and put them into the can-crusher one at a time. after he had already crushed some of the cans, he started recording the number of cans he crushed per minute. this table shows how many cans malachi put in the can-crusher at different times. minutes 3 5 7 9 cans crushed 49 65 81 97 what is the equation that represents malachi's situation? enter your answer in the boxes
Answer:
your answer would be y-65=8(x-5)
Write down in the terms of n, an expression for the nth term of the following sequences:
a.) 23, 20, 17, 14, 11
b.) 36, 30 24, 18, 12
Find the average rate of change for f(x) = x2 + 9x + 18 from x = −8 to x = −2.
A)−1
B)−3
C)1
D)3
1. What point is the image of (4,5) with a translation of right 2 and down 3?
2. Find B' in a reflection of Triangle ABC when A(3,6), B(-4,2), C(-1,-3) over the y axis.
3. Which axis is (0,7) on?
A. X axis
B. Y axis
Plz help with math. will reward.
which number is a solution of the inequality 12 < y(8-y)
The solution to the inequality 12 < y(8 - y) is y such that 2 < y < 6.
The solution of the inequality 12 < y(8 - y), you can start by simplifying the expression on the right side: y(8 - y)
Distribute the y on the right side: 8y - [tex]y^2[/tex]
Now, substitute this expression back into the original inequality: [tex]12 < 8y - y^2[/tex]
Rearrange the terms to form a quadratic inequality: [tex]y^2 - 8y + 12 > 0[/tex]
Now, factor the quadratic expression: (y - 2)(y - 6) > 0
To solve for y, set each factor equal to zero and find the critical points: y - 2 = 0 or y - 6 = 0
Solving these equations gives y = 2 and y = 6.
Now, create intervals using these critical points and test a value in each interval:
1. Test y = 1: (1 - 2)(1 - 6) = (-1)(-5) = 5 > 0
2. Test y = 3: (3 - 2)(3 - 6) = (1)(-3) = -3 < 0
3. Test y = 7: (7 - 2)(7 - 6) = (5)(1) = 5 > 0
The solution is y such that 2 < y < 6
the volume of the sphere is increased by 72.8%. what is the percentage increase in the radius?
Final answer:
The volume of a sphere increases by 72.8%, which after calculations, results in a 20% increase in the radius of the sphere.
Explanation:
The volume of a sphere is given by the formula V = (4/3)πr³, where r is the radius of the sphere. An increase in volume by 72.8% implies that the new volume V' is equal to 1.728 times the original volume V. To find the percentage increase in the radius, we use the relationship between volume and radius:
V' = (4/3)πr'^3, where r' is the new radius after increase. Since V' = 1.728V, we have:
1.728 (4/3)πr³ = (4/3)π[tex]r'^3[/tex]Therefore, [tex]r'^3[/tex] = 1.728r³.After taking the cube root of both sides, we obtain:
r' = ∛1.728 * r ≈ 1.200 * rThus, the new radius is approximately 120% of the original radius, which means there is a 20% increase in the radius.
Final answer:
To calculate the percentage increase in the radius of the sphere when the volume is increased by 72.8%, we can use the formula for volume and solve for the new radius in terms of the original radius. The percentage increase in radius is then calculated by comparing the new and original radius.
Explanation:
The volume of a sphere is given by the formula V = (4/3)πr³, where r is the radius of the sphere. If the volume of the sphere is increased by 72.8%, we can calculate the new volume by multiplying the original volume by 1 + 0.728. Let's denote the original radius as r1 and the new radius as r2.
The formula for volume can be written as V = (4/3)πr³. Substituting r1 and r2 into the formula, we get:
Original volume: V1 = (4/3)πr1³New volume: V2 = (4/3)πr2³Since the two volumes are related by the percentage increase (1 + 0.728), we can write the equation:
(1 + 0.728)V1 = V2
Now, let's solve for r2 in terms of r1:
(1 + 0.728)V1 = (4/3)πr2³
r2 = ([(1 + 0.728)V1] * (3/4π))^(1/3)
Finally, we can calculate the percentage increase in the radius by comparing r2 to r1:
Percentage increase in radius = (r2 - r1) / r1 × 100%
I need help figuring this out, I think X is 61 but I'm not sure
What will this problem look like? The radius, r, of a circle is one-half of the length of its diameter, d.
1. 1/2r= d
2. 2r=d
3. 1/2 + r = d
4. r= 1/2d
5. r= d/2
There is more than one answer
While driving in the United States, Franklin sees that the height of a tunnel is marked as 10’6”. He knows his truck is 3.3m tall. Can he drive through the tunnel?
Please help asap!!
A recipe calls for 2 1/4 cups of flour to make a batch of cookies. How many batches of cookies can be made if you have 15 3/4 cups of flour?
7. What is the value of x?
6
6√3
12
12√3
8. What is the value of x?
7
7√2
14
14√2
9.What is the area of this triangle?
Enter your answer as a decimal in the box. Round only your final answer to the nearest tenth.
cm²
10. In △ABC, AC=12 in., BC=1.5 in., and m∠C=63°.
What is the area of △ABC?
Enter your answer as a decimal in the box. Round only your final answer to the nearest hundredth.
11. The relative locations of Pedro's house, the grocery store, and the bank are shown in the diagram.
What is the distance between the grocery store and the bank?
Enter your answer in the box. Round your final answer to the nearest mile.
mi
12. Marco, Garret, and Dino are hiding during a game of hide-and-seek. Their relative locations are shown in the diagram.
What is the distance between Garret and Dino?
Enter your answer in the box. Round your final answer to the nearest yard.
The solution to the parts is given below.
What is Trigonometry?Trigonometry is a discipline of mathematics that studies the relationship between the sides of a triangle (right triangle) and their angles. There are six trigonometric functions that define the relationship between sides and angles.
1. Using Trigonometry
sin 60 = P/H
√3/2 = x/ 12
x = 12√3 / 2
x= 6√3
2. Using Trigonometry
sin 60 = P/H
1/√2 = 7√2 / x
x/√2 = 7√2
x = 14 unit
3. Using sine law
sin 75 /11 = sin 54 / x
0.965 / 11 = 0.809 / x
0.0877 = 0.809 / x
x = 9.224 miles
Learn more about Trigonometry here:
https://brainly.com/question/29002217
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Write an algebraic expression that is equivalent to the expression cot(arctan x)
The algebraic expression equivalent to cot(arctan x) is 1 / x, derived by recognizing that cot(θ) is the reciprocal of tan(θ), and tan(θ) = x for θ = tan-1(x)
To find an algebraic expression for cot(arctan x), let's follow a step-by-step transformation using trigonometric identities: cot(arctan x) is denoted as cot(tan-1(x))
First, letTherefore, the algebraic expression equivalent to cot(tan-1(x)) is 1 / x.
ab is tangent to the circle ad=4 and bc=3 solve for x
Answer:
Step-by-step explanation:
alright, lets get started.
bc and cd will be same as both are radius of the circle.
[tex]bc=cd=3[/tex]
[tex]ac=ad+cd[/tex]
[tex]ac=4+3[/tex]
[tex]ac=7[/tex]
as we know ab is tangent to the circle so, triangle abc will be a right triangle.
Using Pythagorean theorem
[tex]a^2+b^2=c^2[/tex]
[tex]3^2+x^2=7^2[/tex]
[tex]9+x^2=49[/tex]
Subtracting 9 from both sides
[tex]x^2=49-9=40[/tex]
[tex]x=\sqrt{40} =2\sqrt{10}[/tex]
So, the answer is [tex]2\sqrt{10}[/tex] : answer
Hope it will help. :)
A negatively skewed curve represents a distribution in which there are very few scores on the right side of the distribution.