Renting from Company B will be cheaper if Samir drives the truck 100 miles. Then the correct option is D.
What is a linear equation?
The linear equation is given as,
y = mx + c
Where m is the slope of the line and c is the y-intercept of the line.
Let y be the total amount and x be the number of miles.
Samir can rent a moving truck from Company A for $35 plus $0.50 per mile. Then the equation will be
y = 0.5x + 35 ....1
Company B for $25 plus $0.70 per mile. then the equation will be
y = 0.7x + 25 ....2
For the same rent, the number of miles will be
0.7x + 25 = 0.5x + 35
0.2x = 10
x = 50 miles
Renting from Company B will be cheaper if Samir drives the truck 100 miles. Then the correct option is D.
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Samir can rent a moving truck from Company A for $35 plus $0.50 per mile or from
Which statement is true?
Company B for $25 plus $0.70 per mile .
A. Renting from Company A will always be cheaper.
B. Renting from Company B will always be cheaper.
C. Renting from both companies will cost the same if Samir drives the truck 50 miles.
D. Renting from Company B will be cheaper if Samir drives the truck 100 miles.
if a franchise company wanted to determine the next best location for a store, they might run a regression with expected sales as a dependent variable. which of the following could be possible independent variables? pick the best answer. group of answer choices number of rainy days and number of snow days sales and expenses nearby population and local average income number of employees and size of the building
The best answer is the nearby population and local average income.
What is the average?
This is the arithmetic mean and is calculated by adding a group of numbers and then dividing by the count of those numbers. For example, the average of 2, 3, 3, 5, 7, and 10 is 30 divided by 6, which is 5.
The independent variables in a regression analysis are the variables that are believed to have an impact on the dependent variable.
In this case, the dependent variable is expected sales, and the independent variables are factors that could influence sales at a particular location.
Of the options given, nearby population and local average income are both factors that could reasonably be expected to have an impact on expected sales at a store location.
A larger nearby population may indicate more potential customers, while a higher local average income may indicate more purchasing power among those customers.
The other options, number of rainy days and number of snow days, sales and expenses, and number of employees and size of the building, are all variables that could be relevant in other contexts, but are less directly related to expected sales at a store location.
Hence, The best answer is the nearby population and local average income.
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find the value of x, y, and z
Answer:
B
Step-by-step explanation:
The diagonals of a rhombus are at right angles to each other, then
∠ 1 = ∠ 2 = ∠ 3 = 90° so
10x = 90 ( divide both sides by 10 )
x = 9
x + y = 90
9 + y = 90 ( subtract 9 from both sides )
y = 81
9z = 90 ( divide both sides by 9 )
z = 10
If i have 10 dogs and 5 of them went away the mother dog had 10 more than she had before then 3 of them went away and she will get 5 more than she had before. How many dogs does she have ?
Answer:
This problem is asking the question below:
What is 10-5+10-3+5
10-5=5
5+10=15
15-3=12
12+5=17
So, the mother dog had a total of 17 pups
Step-by-step explanation:
Hope this helps! :)
Have a blessed day! :)
PLEASE MARK ME AS BRAINLIEST I REALLY WANT TO LEVEL UP
Which relationship in the triangle must be true?
A
c
b
C
B
а
sin(B) = sin(A)
sin(B) = cos(90 - B)
COS(B) = sin(180 - B)
cos(B) = (A)
Answer:
sin(B) = cos(90 - B).
Step-by-step explanation:
To answer this question, you must understand SOH CAH TOA.
SOH = Sine; Opposite divided by Hypotenuse
CAH = Cosine; Adjacent divided by Hypotenuse
TOA = Tangent; Opposite divided by Adjacent
I roughly drew a triangle for reference. Let's say we have a 3-4-5 triangle.
As you can see, sin(b) does not equal sin(a). To get the sine of an angle, you would do opposite over hypotenuse. For angle B, that would be 3/5, while for angle A, that would be 4/5.
As stated above, sin(B) is 3/5. Now, if you did cos(90 - B), it would be the same thing as cos(A). This is because the triangle is a right triangle. Since a triangle has 180 degrees, and one angle is a right triangle, the other two angles will add up to be 90 degrees. So, 90 - B = A. cos(A) is the same thing as adjacent over hypotenuse, which is 3/5. So, sin(B) = cos(90 - B) must be true.
Let's just check the others to make sure they are false.
cos(B) = 4/5.
sin(180 - B) is basically the same thing as sin(A + C), which is definitely NOT 4/5.
cos(B) = 4/5, which is NOT the same as A.
So, your answer is sin(B) = cos(90 - B).
Hope this helps!
Using the table above. If your values are the following, what is your final grade ?
Question:
Solution:
According to the weighted average, and the grade that the person obtained, the grade of each item would be:
TEST AVERAGE:
85 x 0.50 = 42.5
FINAL TEST GRADE:
90 x 0.20 = 18
HOMEWORK
95 x 0.15 = 14.25
CLASS PARTICIPATION
80 x 0.15 = 12
Thus, the total grade is:
42.5 + 18 + 14.25 + 12 = 86.75
that is the total grade would be
86.75 out of a total of 100 points as the maximum grade
I’m confused on what number 4 means. Can someone please help?
Answer:I think you can say like the most bought music in class B is alternative and the lowest one is classical and so on
Step-by-step explanation:
A particle of mass mm moves in the plane with coordinates ( x ( t ) , y ( t ) )(x(t),y(t)) under the influence of a force that is directed toward the origin and has magnitude k / \left( x ^ { 2 } + y ^ { 2 } \right)k/(x 2 +y 2 )—an inverse-square central force field.
An inverse-square central force field is \(mx^{''} = -\frac{kx}{r^3}\\ \\mx^{''} = -\frac{ky}{r^3}\\\).
From Newton's second law of motion,
mass × acceleration = Force acting on the mass
Resolving the force F along x and y directions and applying Newton's second law of motion,
Using,
\(r = \sqrt{x^2+y^2}\)
Therefore,
\(m\frac{d^2x}{dt^2} =-|F|cos \theta\)
\(mx^{''} = -\frac{k}{x^2+y^2} \frac{x}{\sqrt{x^2+y^2} } \\\\mx^{''} = - \frac{kx}{(x^2+y^2)^\frac{3}{2} }\\ \\mx^{''} = - \frac{kx}{r^3}\)
Where \(r = \sqrt{x^2+y^2}\)
and cosθ = \(\frac{x}{\sqrt{x^2+y^2} }\)
Similarly using,
\(r = \sqrt{x^2+y^2}\)
we get,
\(m\frac{d^2y}{dt^2} = -|F|sin\theta\)
\(mx^{''} = -\frac{k}{x^2+y^2} \frac{x}{\sqrt{x^2+y^2} } \\\\mx^{''} = - \frac{kx}{(x^2+y^2)^\frac{3}{2} }\\ \\mx^{''} = - \frac{kx}{r^3}\)
Where \(r = \sqrt{x^2+y^2}\)
and sinθ = \(\frac{y}{\sqrt{x^2+y^2} }\)
Therefore we showed that holds
\(mx^{''} = -\frac{kx}{r^3}\\ \\mx^{''} = -\frac{ky}{r^3}\\\)
Hence the answer is an inverse-square central force field is \(mx^{''} = -\frac{kx}{r^3}\\ \\mx^{''} = -\frac{ky}{r^3}\\\).
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\(\frac{1}{2}b+2\leq -6\)
Answer:
1/2 b ≤-8
Step-by-step explanation:
Kyle used 9 as An estimate for 3 1/6 + 5 7/8. He got 9 1/24 for the exact sum. Is his calculated answer reasonable? Explain
Kyle's estimate of 9 was not very accurate, but his calculated answer of 9 1/24 is a reasonable approximation of the sum.
To determine if Kyle's calculated answer is reasonable, we can compare it to the original sum of 3 1/6 + 5 7/8.
First, we need to convert the mixed numbers to improper fractions:
3 1/6 = 19/6
5 7/8 = 47/8
Next, we can add the fractions:
19/6 + 47/8 = (152 + 141)/48 = 293/48
Now, we can compare this exact sum to Kyle's estimated answer of 9 and his calculated answer of 9 1/24.
Kyle's estimated answer of 9 is much larger than the exact sum of 6 5/48.
Thus, Kyle's estimate of 9 was not very accurate, but his calculated answer of 9 1/24 is a reasonable approximation of the sum.
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PLEASE HELP ASAP WILL GIVE BRAINLIEST!!) The function f(x) = 2x + 4 is shifted 3 units to the right to create g(x). What is g(x)?
Write an explicit formula for an, the nth term of the sequence
6,36,216, ....
Answer:
Times itself
Step-by-step explanation:
Times itself because it is multiplying by itself everytime
Answer:
a_n=6(6)^n-1
Step-by-step explanation:
Hey! I have delta math as well! I got this straight off the back! Hope this helped lol! I don't uwant to write an explination tho because it's a bit confusing. But I hope this helped! Lol, wish people didn't answer the questions like that all the time! the heart and your rating on this answer to help other people find it! Let me know if this worked! Bye, my loves!
one dozen mangoes cost $120.00. what is the cost of 8 mangoes??
Answer:
$80.00
Step-by-step explanation:
12m = 120
m = 10
Therefore, 8m must equal 80.
Answer:
The cost of 8 mangos would be $80.00
Step-by-step explanation:
A dozen is equal to 12 so its 10 bucks per mango since there are 12 mangos
If n(A)=36, n(B)=10, n(AU B) = 40 and n(A) = 27 find n(U) and n(AB
Answer:
n(A∪B)=n(A)+n(B)−n(A∩B)−−−−−−−(1)
Given n(A)=7
n(B)=9
n(A∪B)=14
Substituting in 1
14=7+9−n(A∩B)
⇒n(A∩B)=16−14=2
Step-by-step explanation:
ok
Answer:
The question is incomplete.
It should be:
If n(A)=36, n(B)=10, n(A∪B)=40, and n(A')=27. Find n(∪) and n(A∩B)Find n(U)
n(A') = n(∪) - n(A)27 = n(∪) - 36n(∪) = 27 + 36n(∪) = 63Find n(A∩B):
n(A∪B) = n(A) + n(B) - n(A∩B)40 = 36 + 10 - n(A∩B)n(A∩B) = 46 - 40n(A∩B) = 6What is the probability of rolling a 6
Answer:
1/6
Step-by-step explanation:
....................................
Answer: 16.7 percent.
Step-by-step explanation: So to get a 6 when rolling a six-sided die, probability = 1 ÷ 6 = 0.167, or 16.7 percent chance. So to get two 6s when rolling two dice, probability = 1/6 × 1/6 = 1/36 = 1 ÷ 36 = 0.0278, or 2.78 percent.
in a certain triangle, the exterior angles are in the ratio $3:4:5.$ what is the measure of the smallest interior angle of the triangle, in degrees?
The measure of the smallest interior angle of the triangle can be found by using the fact that the sum of the measures of the interior and exterior angles of a triangle is always 180 degrees.
Since the exterior angles are in the ratio 3:4:5, we can assign variables to the angles and set up equations to solve for their measures.
Let's assume the measures of the exterior angles are 3x, 4x, and 5x, where x is a common factor. According to the property of the exterior angles of a triangle, we have the equation 3x + 4x + 5x = 360 degrees, since the sum of all three exterior angles is 360 degrees. Simplifying this equation, we get 12x = 360 degrees, which leads to x = 30 degrees. Substituting this value back into the ratios, we find that the measures of the exterior angles are 90 degrees, 120 degrees, and 150 degrees, respectively. Since the sum of the interior and exterior angles is always 180 degrees, the smallest interior angle is 180 - 90 = 90 degrees.
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cliff divers dive headfirst at 8 feet per second from the top of a cliff 87 feet above the pacific ocean. during which time period will the diver's height exceed that of the cliff?
The cliff divers dive headfirst from the top of cliff. 1/2 or 0.5 second is the time period will the diver's height exceed that of the cliff.
Free Fall Object :An object that moves along the vertical axis due to gravitational acceleration is called a free-falling object. The free fall position is given by the following equation of motion:
yₜ = y₀ + v₀t + 1/2(at²)
Where y₀--> the initial height of the object
v₀--> the initial velocity
t --> time
a --> the acceleration due to gravity and is equal to a = g = - 32.2 ft²/sec
We have given that,
Initial velocity of divers , v₀ = 8 feet/sec
Initial Height of top of cliff , s₀ = 87 feet
position function, s(t) = - 16t²+ v₀t +s₀
Plugging all known values in above position function,
s(t) = -16 t² + 8t + 87
The the diver's height exceed that of the cliff means, s(t) > 87
=> -16 t² + 8t + 87 > 87
Subtract 87 from both sides, we get
-16t^2 + 8t > 0 , now we solve this inequality by changing it in a equality,
-16 t² + 8t = 0
=> -8 t( 2t - 1) = 0 => -8t = 0 , 2t -1 = 0
=> either t = 0 or t = 1/2
So the first half second, the person is above the height of the cliff.
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Complete question:
Use the position function s(t)-16t2+ vot +so position, t time) to answer the following: Divers in Acapulco, Mexico, dive headfirst at 8 feet per second from the top of a cliff 87 feet above the Pacific Ocean. During which time period will a diver's height exceed that of the cliff? (vo initial velocity, so initial.
how many planes are orthogonal to a given plane in space? explain.
There are an infinite number of planes that are orthogonal to a given plane in space, and this is due to the fact that a plane can be thought of as a flat surface that extends indefinitely in all directions.
Orthogonal Planes in Space: In three-dimensional space, a plane is said to be orthogonal to another plane if the two planes are perpendicular to each other, i.e., their normal vectors are perpendicular. Since the normal vectors of two orthogonal planes are perpendicular to each other, this means that the angle between them is equal to 90 degrees.
Given a plane in space, there are an infinite number of planes that are orthogonal to it. This is because a plane can be thought of as a flat surface that extends indefinitely in all directions.
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Choose all of the values that are equivalent to
Answer:
A and B
Step-by-step explanation:
-(5/3) = -1.67
-5/3 = -1.67
5/-3 = -1.67
5/3 ≠ -1.67
-5/-3 ≠ -1.67
-(-5/3) ≠ -1.67
need help on this on pls
Answer:
C and D
Step-by-step explanation:
Substitute 1.33333333... for x and solve to see if its true.
Answer:
Step-by-step explanation:
please help me determine the length in its simplest form
Answer:
AB = 4.5 units
Step-by-step explanation:
Let the length of AB be x.
GIVEN :-
BC = 3 unitsCD = 4 unitsED = 6 unitsBD || AETO FIND :-
The length of AB.FACTS TO KNOW BEFORE SOLVING :-
Basic Proportionality Theorem :-
If a line is drawn parallel to one side of a triangle to intersect the other two sides in distinct points , the other two sides are divided in the same ratio.PROCEDURE :-
According to Basic Proportionality Theorem ,
\(\frac{CB}{AB} = \frac{CD}{ED}\)
\(=> \frac{3}{x} = \frac{4}{6}\)
\(=> x = \frac{3 \times 6}{4} = \frac{18}{4} = 4.5\)
∴ AB = 4.5 units
Which expression is equal to
7 + 6 x 5 – 2?
OA) 13 X 5-2
O B) 7+ 11 – 2
O C) 13 X 3
OD) 37 - 2
Step-by-step explanation:
7+6x5-2
First we eliminate.
It isn't A. because they didn't use order of ops.
It isn't B. because they added 6 and 5 instead of multiplying.
Now, we simplify.
7+(6x5)-2
7+30-2
37-2
35
hope it helps!
Can someone please help me ASAP! Thanks :)
To test if the mean IQ of employees in an organization is greater than 100. a sample of 30 employees is taken and the value of the test statistic is computed as t29 -2.42 If we choose a 5% significance level, we_ Multiple Choice Ο reject the null hypothesis and conclude that the mean IQ is greater than 100 ο reject the null hypothesis and conclude that the mean IQ is not greater than 100 ο C) do not reject the null hypothesis and conclude that the mean IQ is greater than 100 C) do not reject the null hypothesis and conclude that the mean is not greater than 100
The correct answer: C) do not reject the null hypothesis and conclude that the mean IQ is not greater than 100.
The null hypothesis, H0: μ ≤ 100, is tested against the alternative hypothesis, Ha: μ > 100, to determine whether the mean IQ of employees in an organization is greater than 100. The sample size is 30 and the computed value of the test statistic is t29 = -2.42.
At the 5% level of significance, we have a one-tailed test with critical region in the right tail of the t-distribution. For a one-tailed test with a sample size of 30 and a significance level of 5%, the critical value is 1.699.
Since the computed value of the test statistic is less than the critical value, we fail to reject the null hypothesis and conclude that the mean IQ is not greater than 100.
Option C is therefore the correct answer: do not reject the null hypothesis and conclude that the mean IQ is not greater than 100.
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My Dog is sick :)((((((((((((((((((((
Sorry to hear that. Take good care of him/her!!
Hope it gets better!
her budget is still $50 a month. to find out how many gigabytes of data she could use if she chose this plan, she writes c(x)
The function that represents the total cost for the number of gigabytes is; C(x) = 50x
How to express linear equation word problems?Some of the steps to writing a system of linear equations from word problems are;
1) Understand the problem like the words used in stating the problem and what exactly you are trying to find.
2) Translate the problem to an equation by assigning a variable (or variables) to represent the unknown.
3) Carry out the plan and solve the problem.
We are told that her budget is $50 a month. Therefore this is like the rate for each gigabyte and if the number of gigabytes is denoted as x, then the function of the total cost is;
C(x) = 50x
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Which equation best represents the data in the function table? (Please help!)
Answer:
option c
Step-by-step explanation:
y=x² + 1
that's the correct answer
Answer:
y= x²+1
Step-by-step explanation:
Identify the number of solutions of the equation
or the number of zeros of the function.
f(x) = 2x^4 +x^2 – 7+x^6
Step-by-step explanation:
2x×4+x×2−7+x×6=
Multiply 2 and 4 to get 8.
8x+x×2−7+x×6
Combine 8x and x×2 to get 10x.
10x−7+x×6
Combine 10x and x×6 to get 16x.
16x−7
a spherical snowball is melting in such a way that its radius is decreasing at a rate of 0.3 cm/min. at what rate is the volume of the snowball decreasing when the radius is 15 cm. (note the answer is a positive number).
So, the volume of the snowball is decreasing at a rate of approximately 2,130.51 cm^3/min when the radius is 15 cm.
When dealing with problems involving rates and volumes, it's important to remember the formula for the volume of a sphere, which is V = (4/3)πr^3.
Now, we know that the radius of the snowball is decreasing at a rate of 0.3 cm/min, which means dr/dt = -0.3 cm/min (the negative sign indicates that the radius is decreasing). We want to find the rate at which the volume of the snowball is decreasing, or dV/dt.
To do this, we'll need to use the chain rule of differentiation. That means we'll need to differentiate the volume formula with respect to time:
dV/dt = d/dt[(4/3)πr^3]
= 4πr^2 (dr/dt)
= 4π(15)^2 (-0.3)
= -678π cm^3/min
Note that we plugged in r = 15 cm because that's the radius when we're trying to find the rate of volume change. Also, since we're looking for a positive rate, we'll take the absolute value of the answer:
|dV/dt| = 678π cm^3/min
So, the volume of the snowball is decreasing at a rate of approximately 2,130.51 cm^3/min when the radius is 15 cm. I hope that helps! Let me know if you have any other questions.
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Which of these actions would decrease heat transfer between two objects?
increasing the temperature of the warmer object
increasing the area of their contact
reducing the thermal energy of the cooler object
reducing the time of their contact
(Fr ran out of free answers)
Answer:
increasing the area of their contact
a locker room contains 21 books. you select 7 books at random. how many different sets of books can you select
Answer:
14
Step-by-step explanation:
3x7=21 you take away 7 books you would have 14 left or 7x2