Therefore, it will take Jessica 20 minutes to bike to Gar-Field High at 10 miles per hour.
What is speed?Speed is the measure of how quickly an object, or a person is moving in a certain direction. It is defined as the distance traveled per unit of time, typically expressed in meters per second (m/s) or kilometers per hour (km/h).
For example, if a car travels a distance of 100 kilometers in 2 hours, its speed would be 50 km/hour (100 km ÷ 2 hours = 50 km/h). Similarly, if a person runs 100 meters in 10 seconds, their speed would be 10 meters per second (100 meters ÷ 10 seconds = 10 m/s).
Speed is a scalar quantity, meaning it has only magnitude and no direction. However, velocity is a related concept that includes both speed and direction.
) The direct variation equation for the relationship between the number of cups of flour and the number of cookies can be written as:
\(number of cookies = k x cups of flour\)
where k is the constant of variation.
To find k, we can use the given information: 68 cookies require 4 cups of flour.
So,\(k = 68/4 = 17.\)
Therefore, the direct variation equation is:
\(number of cookies = 17 x cups of flour\)
b) To find how many cups of flour are needed to make 85 cookies, we can use the direct variation equation we just found:
\(number of cookies = 17 x cups of flour\)
Plugging in the given value of number of cookies:
\(85 = 17 x cups of flour\)
Solving for cups of flour, we get:
\(cups of flour = 85/17 = 5\)
Therefore, 5 cups of flour would be needed to make 85 cookies.
c) The inverse variation equation for the relationship between time and speed can be written as:
\(time = k/speed\)
where k is the constant of variation.
To find k, we can use the given information: it takes Jessica 50 minutes to bike to Gar-Field High at 4 miles per hour.
\(So, k = 50 x 4 = 200.\)
Therefore, the inverse variation equation is:
\(time = 200/speed\)
To find how long it will take her if she rides at 10 miles per hour, we can plug in the given speed:
\(time = 200/10 = 20 minutes.\)
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OMG PLEASE I BEG I NEED HELP 5th grade math
Answer: A
Step-by-step explanation:
Volume= LxWxH so we get 20x28x24 as given.
Volume= 13,440 which is the volume of the box given. ANd so if the box is 10,500cubic inches, we subtract to find the difference.
13,440-10,500= 2,940 Cubic Inches
Option A
Answer:
Part A: 13440 cubic inches.
Part B: A - 2940 cubic inches.
Step-by-step explanation:
The volume of the box = 24x20x28 = 13440 cubic inches.
The problem tells us that his gift is 10,500 cubic inches. So subtract that from the volume of the box.
13440-10500 = 2940 cubic inches. The answer is A.
wood block pulled along a wooden surface at an angle moving at constant velocity what is tension on teh rope
The work done by the force of friction is μmgd.
The work done by the applied force is equal to the displacement of the block (d) multiplied by the component of the force parallel to the displacement. If the applied force is F and the angle between the force and the displacement is θ, then the component of the force parallel to the displacement is Fcos(θ).
Therefore, the work done by the applied force is given by dFcos(θ). The force of friction will also do work, which is equal to the displacement of the block multiplied by the force of friction. The force of friction is given by μN, where N is the normal force and is equal to the weight of the block (mg). Therefore, the work done by the force of friction is μmgd, where d is the displacement.
Correct Question :
A block of mass m is pulled along a horizontal surface by applying a force at an angle θ with the horizontal. If the block travels with a uniform velocity and has a displacement d and the coefficient of friction is μ, then the work done by the applied force is?
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Lisa bucket weighs 21kg after pouring out half it weigh 12kg what’s the wight of the bucket?
Answer:
Step-by-step explanation:
9kg
Use proportional reasoning to determine the value of a in the proportion shown below.
25
a=1
a=25
a=10
a=15
it’s c
Answer:
c
Step-by-step explanation:
Rob Herndon, an accountant with Southwest Airlines, wants to retire 50% of
Southwest Airlines bonds by 2028. Calculate the payment Rob needs to make
at the end of each year at 5% compounded annually to reach his goal of paying
off $430,000 in 10 years.
For Rob Herndon to achieve his goal of paying off $430,000 in 10 years, he needs to make $34,186.97 at 5% compounded annually.
What is a future value?A future value refers to a value on a future date based on an assumed growth rate of interest over some period.
The future value can be determined using the FV formula or table.
We can also compute the future value using an online finance calculator as follows:
Data and Calculations:N (# of periods) = 10 years
I/Y (Interest per year) = 5%
PV (Present Value) = $0
FV (Future Value) = $430,000
Results:
PMT = $34,186.97
Sum of all periodic payments = $341,869.70
Total Interest= $88,130.30
Thus, for Rob Herndon to achieve his goal of paying off $430,000 in 10 years, he needs to make $34,186.97 at 5% compounded annually.
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Find... (look at the picture)
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
KJI = KJY + YJI
Thus ;
\(168 =( 8x - 4) + (36x - 4)\)
\(168 = 8x - 4 + 36x - 4\)
Collect like terms
\(168 = 44x - 8\)
Add sides 8
\(168 + 8 = 44x - 8 + 8\)
\(176 = 44x\)
Divide sides by 44
\( \frac{176}{44} = \frac{44}{44} x \\ \)
\( \frac{16 \times 11}{4 \times 11} = x \\ \)
\(4 = x\)
\(x = 4\)
So ;
\(YJI = 36x - 4\)
\(YJI = 36(4) - 4\)
\(YJI = 144 - 4\)
\(YJI = 140°\)
Done...
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
Alice finds shirts on sale for $18.99.She buys twelve how much money does she spend?
Answer:
Well, if Alice buys 12 shirts which each cost $18.99 the equation would be 18.99 * 12 which = 227.88
Alice spent $227.88 on 12 shirts
Step-by-step explanation:
Answer:
Well, if Alice buys 12 shirts which each cost $18.99 the equation would be 18.99 * 12 which = 227.88
Step-by-step explanation:
if a=1 b =2and c= -3 find the value of a2b2c-2
Hello !
you made a typo with the c^-2 because otherwise it does not make a round result
\(a^{2} *b^{2} *c^{2} \\\\= 1^{2} *2^{2}* (-3)^{2} \\\\= 1*4*9\\\\\boxed{= 36}\)
What is the distance between -60 and -10 on
a number line?
units
90-80 -70 -60 -50-40-30-20 - 10
0
10
Answer:
50
Step-by-step explanation:
60-10
Pearl writes down seven consecutive integers, and adds them up. The sum of the integers is equal to $\frac{21}{4}$ times the largest of the seven integers. What is the smallest integer that Pearl wrote down?
The smallest integer that Pearl wrote down is -12.Let's assume the smallest integer that Pearl wrote down is represented by the variable "x."
According to the given information, the sum of the seven consecutive integers is equal to $\frac{21}{4}$ times the largest integer.
The sum of consecutive integers can be expressed as the sum of an arithmetic series. The sum of an arithmetic series can be calculated using the formula:
Sum = (n/2)(first term + last term)
In this case, the first term is x and the last term is x + 6 (since there are seven consecutive integers). Therefore, the sum of the integers can be written as:
Sum = (7/2)(x + (x + 6))
Simplifying the equation:
(7/2)(2x + 6) = (21/4)(x + 6)
Multiplying both sides by 4 to eliminate the fractions:
14x + 42 = 21x + 126
Subtracting 14x from both sides:
42 = 7x + 126
Subtracting 126 from both sides:
-84 = 7x
Dividing both sides by 7:
-12 = x.
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Table 1 contains outputs of the function f(x)=b^x for some x values and Tables 2 contains outputs of the function g(x)=logb (x) for some x value,in both functions b is the same positive constant
The sugar sweet company will choose from two companies to transport as sugar to market. The first company charges 4500 to rent trucks plus an additional fee of 175.25 for each third of sugar per second copy charges 3995 to rent trucks plus an additional fee of 200.50for each total of sugar.
The two companies charge the same when the amount of sugar is 20 thirds per second and the cost when the two companies charge the same is $8,125.
What is amount?
Amount is a term used to describe the quantity or size of something. It can refer to a specific quantity of a substance, such as an amount of money or an amount of a particular material, or it can refer to a more abstract concept, such as an amount of time or effort.
To find the amount of sugar for which the two companies charge the same, we need to set the two costs equal to each other and solve for the amount of sugar.
Let x be the amount of sugar in third per second. Then, the cost C1 charged by the first company is:
C1 = 4500 + 175.25x
And the cost C2 charged by the second company is:
C2 = 3995 + 200.50x
To find the amount of sugar for which the two companies charge the same, we set C1 equal to C2:
4500 + 175.25x = 3995 + 200.50x
Solving for x, we get:
25.25x = 505
x = 20
Therefore, the two companies charge the same when the amount of sugar is 20 thirds per second.
To find the cost when the two companies charge the same, we can substitute x = 20 into either of the cost equations. Let's use C1:
C1 = 4500 + 175.25x
C1 = 4500 + 175.25(20)
C1 = 8125
Therefore, the cost when the two companies charge the same is $8,125.
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- Jacob Elementary School had a book drive. On
Monday, the students collected 95 books. They
collected 78 more books on Tuesday. How many
books did the students collect?
The students collected
books.
The Grover family went on a spring vacation. Th
cabin is 305 miles away. If they drive 98 miles
first day, how many more miles do they have to
Step-by-step explanation:
1. 95+78 as its asking how many bools all together. 173 books
2. 305-98 ita asking how many miles LEFT.
Can anyone please help?
Q: A baseball is hit into the air by the Blue Jays' batting coach.
It's height h, in meters, after t seconds is h = - 4.9t² + 27.44t + 0.584
(a) write the equation in vertex form by completing the square
b) How high off the ground was the ball when it was hit?
c) When does the ball reach it's maximum height? what is it's maximum height?
d) For how long is the ball in the air ? Round answer to 1 decimal place
The ball is in the air for approximately 2.8 + √7 seconds, which rounds to 5.2 seconds when rounded to one decimal place.To write the equation in vertex form, we need to complete the square.
The given equation is h = -4.9t² + 27.44t + 0.584. We can rewrite it as:
h = -4.9(t² - 5.6t) + 0.584
Now, we want to complete the square inside the parentheses. To do this, we need to add and subtract the square of half the coefficient of t. In this case, the coefficient is -5.6, so we have:
h = -4.9(t² - 5.6t + (5.6/2)² - (5.6/2)²) + 0.584
Simplifying, we get:
h = -4.9((t - 2.8)² - 2.8²) + 0.584
Expanding further:
h = -4.9(t - 2.8)² + 4.9(2.8)² + 0.584
Thus, the equation in vertex form is: h = -4.9(t - 2.8)² + 34.328
b) The ball's height when it was hit can be found by evaluating the equation at t = 0:
h = -4.9(0 - 2.8)² + 34.328
h = -4.9(-2.8)² + 4.328
h = -4.9(7.84) + 34.328
h ≈ 0.784 meters
To find the time at which the ball reaches its maximum height, we can use the fact that the maximum height occurs at the vertex of the parabolic equation. The vertex of a parabola in the form h = a(t - h₀)² + k is given by (h₀, k). Comparing this to our equation, we can see that the vertex occurs at t = 2.8 and h = 34.328. Therefore, the ball reaches its maximum height at 2.8 seconds, and the maximum height is 34.328 meters.
The total time the ball is in the air can be determined by finding the time it takes for the ball to reach the ground. When the ball hits the ground, its height is 0. To find this time, we can set the equation equal to 0 and solve for t:
0 = -4.9(t - 2.8)² + 34.328
4.9(t - 2.8)² = 34.328
(t - 2.8)² ≈ 7
t - 2.8 ≈ ±√7
t ≈ 2.8 ± √7
Since time cannot be negative in this context, we can ignore the negative value.
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How to find the y axis on a graph
A total of 600 advertisements were sold for a certain magazine. If 20 percent of the first 200 sold were in color, 40 percent of the next 300 sold were in color, and 80 percent of the last 100 sold were in color, what percent of the 600 advertisements were in color?
Answer:
40%
Step-by-step explanation:
First, find how many of the first 200 were in color:
200(0.2)
= 40
Then, find how many of the next 300 were in color:
300(0.4)
= 120
Find how many of the last 100 were in color:
100(0.8)
= 80
Then, add these all together to find how many were in color:
40 + 120 + 80
= 240
Then, divide 240 by 600 to find the percent that were in color:
240/600
= 0.4
So, 40% of the 600 advertisements were in color
Which angle is an alternate exterior angle to ∠8?
∠3
∠4
∠5
∠6
*20 POINTS!!!!!!!!!!!*
There is no alternate exterior angle corresponding to ∠8.
What are alternate exterior angles?Alternate Exterior Angles – Alternate exterior angles are the pair of angles on the outer side of the two parallel lines but on the opposite side of the transversal.
here, we have,
Given is a geometrical figure as shown in the image.
A pair of alternate exterior angles exist for a pair of parallel lines.
Hence, there is no alternate exterior angle corresponding to ∠8.
Therefore, there is no alternate exterior angle corresponding to ∠8.
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10. A boxer was able to land 10 punches in 4 rounds. At this rate, how many punches
would he land in 9 rounds? If you get stuck, consider using the table.
punches
round
10
4
1
9
Answer:
22.5 punches in 9 rounds.
Step-by-step explanation:
To find the number of punches in 1 round, you divide 4 by 4 and 10 by 4. 4 divided by 4 is 1. 10 divided by 4 is 2.5. Next, multiply 1 by 9 to get 9. Then multiply 2.5 by 9 to get 22.5
So, a boxer can land 22.5 punches in 9 rounds. If you need to round, it would be 23 punches in 9 rounds.
Hope this helps!
Use the equation and type the ordered-pairs. y=3^x
The ordered pairs of the equation y = 3^x are (0,1), (1,3) and (2,9)
How to type the ordered pairs?The equation is given as:
y = 3^x
Let x = 0, 1 and 2
y = 3^0 = 1
y = 3^1 = 3
y = 3^2 = 9
So, we have the following ordered pairs (0,1), (1,3) and (2,9)
Hence, the ordered pairs of the equation y = 3^x are (0,1), (1,3) and (2,9)
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10 cm 10 cm 30 cm. 14.1 cm
answer; you
Step-by-step explanation:
I dont know
sssooooooorrrrrrrrrryyyyyyyyyyyy
Write 0.9 repeating as a fraction
A. 1/11
B. 1/7
C. 1/99
D. 1/9
Answer:
The answer is A.
Step-by-step explanation:
What number is represented by point B?
4/5
1 4/5
1 5/4
2 1/5
Answer:
1 5/4
Step-by-step explanation:
*Today's Assignment*
Design a salary slip for the month of March 2023 with information given below.
Fixed vs variable ratio- 70:30
Ctc - 18L
Basic- 50%
Hra- 20%
Da - 12%
Insurance - 2500
Incentive- 75% target completion
Pf 12%
Earned leaves - 2
LOP - 4
Calculate net pay
A salary slip for the month of March 2023 with information given below.
Salary Slip - March 2023
Employee Details:
Name: [Employee Name]
Employee ID: [Employee ID]
Designation: [Employee Designation]
Earnings:
Basic Salary: [Basic Salary]
House Rent Allowance (HRA): [HRA]
Dearness Allowance (DA): [DA]
Incentive: [Incentive]
Total Earnings: [Total Earnings]
Deductions:
Provident Fund (PF): [PF]
Insurance: [Insurance]
Loss of Pay (LOP): [LOP]
Total Deductions: [Total Deductions]
Net Pay: [Net Pay]
Breakdown:
Basic Salary: 50% of CTC (18L) = [Basic Salary]
HRA: 20% of Basic Salary = [HRA]
DA: 12% of Basic Salary = [DA]
Incentive: 75% of target completion = [Incentive]
Total Earnings = Basic Salary + HRA + DA + Incentive = [Total Earnings]
PF: 12% of Basic Salary = [PF]
Insurance: Rs. 2500 = [Insurance]
LOP: [LOP]
Total Deductions = PF + Insurance + LOP = [Total Deductions]
Net Pay = Total Earnings - Total Deductions = [Net Pay]
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What is the volume of the triangular prism?
please help!! quickly its a test a look at the picture
7th grade math
Determine all minors and cofactors of the matrix A given below (5)
2 −1 1 3
0 1 1 3
2 1 1 0
2 0 −1 −2
Find the surface area of the sphere.
Formulas for Spheres
S.A. = 4
V = for S.A. = [?] cm2
Round to the nearest tenth.
PLEASE HELP !
links will be reported.
Answer:
201.1 cm ^2 ( in
acellus )
Step-by-step explanation:
The surface area the sphere is 64π cm².
SphereA sphere is a three-dimensional equivalent of a two-dimensional circle. A sphere is a collection of points in three-dimensional space that are all the same distance r from a particular point. hat given point is the center of the sphere, and r is the sphere's radius
Surface area: 4πr²
How to determine the surface area of the sphere?Given the radius of the sphere is 4 cm.
then apply the formula
surface area = 4π(4)²
= 4π(16)
= 64π cm²
Hence the surface area is 64π cm².
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Can you please help me
Answer:
Step-by-step explanation:
The answer is B
Which elements are determined by using AAS?
The concentrations of the trace elements Al, Cd, Pb, Cu, Ni, Mo, Mg, and Zn were calculated using the dry weight of the disc and measured using AAS.
In the given question we have to find which elements can be detected by AAS.
The full form of AAS is Atomic absorption spectrometry.
By using certain wavelengths of electromagnetic radiation from a light source, atomic absorption spectrometry (AAS) may identify elements in either liquid or solid samples.
Using the disc's dry weight as a starting point, the concentrations of the trace elements aluminium (Al), cadmium (Cd), lead (Pb), copper (Cu), nickel (Ni), molybdenum (Mo), magnesium (Mg), and zinc (Zn) were determined.
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Determine the range of the following graph: I REALLY NEED HELP
Answer:
[-1,6]
Step-by-step explanation:
As stated from the previous question you asked, the range is the range of the Y values.
You also have to be mindful of the closed circles. Closed circles means it is included in the range.
The range is [-1,6]
In one season, a basketball player missed 50% of her free throws. How many free throws did she attempt if she made 183 free throws?
Answer:
Step-by-step explanation:
50% of 366 is 183, therefore your answer is 366.