Answer:
Yes it does
Step-by-step explanation:
Distance is equal to rate multiplied by time and the rate is how fast the car is going and how long is the time so yes it will be equal to distance.
The statement given in the question is TRUE that is "the distance covered by a car depends on how fast the car was going and on how long it has travelled"
The formula for calculating distance is expressed as;
[tex]distance=speed \times time[/tex]
From the formula we can see that:
distance depends on the speed i.e how fast an object is movingdistance also depends on the time taken by the car to travel.From the highlighted point, we can see that the statement given in the question is TRUE that is "the distance covered by a car depends on how fast the car was going and on how long it has travelled"
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Complete the pattern—- 9.5 950 95,000 —- ——
Answer:
9,500,000 950,000,000
Step-by-step explanation:
Each number is 100 times the previous. Basically, add 2 zeros to get the next number.
9.595095,0009,500,000950,000,000Find the indicated length
Find DE
HY
3. The table shows the admission prices for
an amusement park. Graph the function.
Admission
Age
Price
40
BO
under 5
free
Admission price (dollars)
5-17
$25
$40
18-64
65 and over
$35
ot
10
50
60
2030 40
Age (years)
4. Identify the domain and range of the
function in Item 4, including their units.
domain:
range:
Answer:
See below
Step-by-step explanation:
1. The rule defining the function on the graph:
y = x -1, if x = (-3,-1)y = -3x + 9, if x = [2, 4)2. f(x) = |4x + 36|
y = 4x + 36, if x ≥ - 9y = -4x - 36, if x < - 93. See attachment for the graph
4. Item 4 is not included in the question
Rearange the equation so n is the independent variable m+1=-2n+6 ? M= what
Answer:
m = - 2n + 5
Step-by-step explanation:
Given the equation:
m+1=-2n+6
Rearrange the equation so that n is the independent variable
The independent variable is the predictor variable, Hence causes a change in the value of predicted variable obtained.
m+1=-2n+6
m = - 2n + 6 - 1
m = - 2n + 5
m = - 2n + 5
The general form of a regression equation:
y = ax + b
Where y = dependent variable
x = independent variable ; a = Coefficient of slope ; b = intercept
Hence, the equation : m = - 2n + 5
Ralph chase plans to sell a piece of property for $145000. He wants the money to be paid off in two ways a short term note at 11% interest and a long term note at 8% interest. Find the amount of each note if the total annual interest paid is $13850.
Given :
Price of property , P = $145000 .
Money paid off in two ways a short term note at 11% interest and a long term note at 8% interest.
Total interest , I = $13850 .
To Find :
The amount of each note .
Solution :
Let , x money is paid off in 11 % interest rate and ( 145000-x) in 8% interest rate.
Therefore , their sum of interest in mathematics is given by :
[tex]\dfrac{11x}{100}+\dfrac{8(145000-x)}{100}=13850\\\\11x+1160000-8x=1385000\\\\3x=225000\\\\x=\$75000[/tex]
Therefore , the amount of note is $75000 and $70000 for 11% and 8% interest rate respectively .
Hence , this is the required solution .
A man ordered 4 times as many boxes of ballpoint pens as boxes of felt-tip pens. Ballpoint pens cost $4.34 per box, and felt-tip pens cost $3.41. If the man's order of pens totaled $83.08, how many boxes of each type of pen did he buy?
I need help with questions 41
Please help me with this, ASAP. Please and thank you! D:
3(2+2)-6(5+11) How long did Johnny ran
Answer:
-84
Step-by-step explanation:
The heights of tomato plants are Normally distributed with About % of tomato plants have a height
a mean of 3.56 feet and a standard deviation of 0.25 feet.
between 2.98 feet and 3.48 feet. Round the percent to 2
About what percent of tomato plants have a height decimal places, if necessary
between 2.98 feet and 3.48 feet?
Use the z-table to answer the question.
Answer:
36.43
Step-by-step explanation:
In normal distribution(z) tomato plants have a height of less than 2.58 feet is 1.017%.
What is a normal distribution?The normal distribution is a "continuous probability distribution that its symmetrical around its mean with most values near the central peak".
According to the question,
The heights of tomato plants are Normally distributed.
Mean(μ) = 3.56
Standard deviation (σ) = 0.25
For a tomato plant that has a height of 2.98 feet
In order to find the Percentage of tomato plantof s have a height less than 2.98 feet
Standard Normal Distribution Formula,
z = (x-μ)/σ where X~(μ,σ).
( 2.98 - 3.56 ) / 0.25 =-0.58 / 0.25 = -2.32.
P ( x < 2.58 ) = P( z < -2.32 )
= 0.01017( Using standard Normal distribution table)
Find the percentage of tomato plants with have a height of fewer than 2.58 feet is
Multiply 0.01017 by 100
= 0.01017 x 100 %
= 1.017%
Hence, using Standard Normal distribution we find tomato plants have heights less than 2.58 feet is 1.017%
To learn more about Normal distribution here
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What is one factor of 30x2 − 33x + 3?
2x − 1
4x + 2
5x − 4
10x − 1
Helpppppppppp
Answer:
10x - 1
Step-by-step explanation:
30x^2 − 33x + 3 =
= 3(10x^2 - 11x + 1)
= 3(10x - 1)(x - 1)
Answer: 10x - 1
7th grade math HELP! WILL MARK BRAINLIEST!
Answer:
1/2
Step-by-step explanation:
Triangle B has a scale factor 1/2, so the side length will be 1/2 of Triangle A
Sam wants to write an equation to represent a
proportional relationship with a constant of proportionali
of 6. He writes the equation y = 6 + X.
Is he correct. If not, what is the correct equation? Explai
your answer. Consider the graph of the equation in your
response
Answer:
No, Sam is not correct. The graph of a proportional relationship has the form y = kx, where k is the constant of proportionality. Sam added the constant of proportionality instead of using it as the coefficient of x. The correct equation is y = 6x. Sam’s graph would be a straight line, but it would not pass through the origin.
Step-by-step explanation:
on edge :)
Express the set using the roster method.
{x | XEN and 15 sxs 50}
Choose the correct answer below.
A. {15, 16, 17, 18, ..., 50}
B {16, 17, 18, 19, ..., 50)
C. Ø
D. {..., 12, 13, 14, 51, 52, 53, ...}
I think you meant to write [tex]\{x | x \in \mathbb{N} \text{ and } 15 \le x \le 50\}[/tex]
If so, then the answer is Choice A. {15, 16, 17, 18, ..., 50}
We simply list every natural number from 15 to 50, including both endpoints. The three dots mean "continue this pattern". This way we don't literally have to write out every single value (there are 50-15+1 = 36 values in this set).
Note: the set of natural numbers is {1,2,3,...} so a natural number is basically a whole number, but 0 is not included. Negative values aren't included either.
Write the equation of a line in slope intercept form that passes through (2,4) and (-7,8)
Answer:
y = -4/9x + 44/9
Step-by-step explanation:
First find the slope
m = ( y2-y1)/(x2-x1)
m = ( 8-4)/( -7-2)
= 4/-9
= -4/9
The slope intercept form is
y = mx+b
y = -4/9 x+b
Substitute a point into the equation
4 = -4/9 * 2 +b
4 = -8/9+b
36/9 = -8/9 +b
Add 8/9 to each side
36/9 + 8/9 = -8/9 + 8/9 +b
44/9 = b
y = -4/9x + 44/9
how are rates and unit rates different?
Answer:
down bellow
Step-by-step explanation:
A rate is a special ratio in which the two terms are in different units. For example, if a 12-ounce can of corn costs 69¢, the rate is 69¢ for 12 ounces. ... When rates are expressed as a quantity of 1, such as 2 feet per second or 5 miles per hour, they are called unit rates.
Can some one solve it for me please
Answer:
C
Step-by-step explanation:
Let the age of the older girl be y and the age of the younger girl be x.
The sum of their ages is 27.
x + y = 27
The older girl is 6 years older than twice the age of the younger girl.
twice the age of younger girl = 2x
y = 6 + 2x
Use the number line to plot the numbers. Then arrange them in order from smallest (1) to largest (4). V0.2 V0.4
Answer:V0.2=3. V0.4=4. 0.2=1. 0.4=2
Step-by-step explanation:
Answer:
3
4
1
2
Step-by-step explanation:
True or False: All lines are functions. If false give an example of a line that is not a function.
Answer:
False, all lines are not functions.
Step-by-step explanation:
Vertical lines are not functions since they do not pass the vertical line test. In this case, one x-coordinate relates to several y-coordinates.
PLEASE HELP IF YOU CAN!!Graph this line using the slope and y-intercept:
y = -1/3x + 10
Click to select points on the graph.
1041
8
6
4
2
X
-10
-8
-6
-4
-2
0
2
4.
6
8
10
-2
--4
-6
-8
-10
Answer: Graph (0,10) and (3,9).
Step-by-step explanation: The equation is written in slope-intercept form (y=mx+b). b represents the y-intercept.
So you would graph (0,10) on the graph.
To find the other points, you can use the triangle method for finding slope. -1/3x is the slope. -1 means you go down by one space on the y line. 3 means you go right by 3 spaces on the x line. This leads you to the point (3,9). You can use this method to find the other points on the graph.
Divide. 15÷−5 Drag and drop the correct number into the box to complete the sentence. The quotient is Response area.
Answer:
15÷-5=-3
Step-by-step explanation:
Find the midpoint of segment AB with A (2, 0) and B (-6, 12)
Find the midpoint of segment AB with A (2, 0) and B (-6, 12)
Simplify the expression: –7(5 − u)
Answer:
-7(5-u)
Step-by-step explanation:
-7(5-u)
-7x5 -7x-u
-35+7u
Answer:
-35+ 7u
Step-by-step explanation:
Distribution Property
distribute the first time by the 2 terms in the parenthesis
-7×5 and -7u
-35 - (-7u)
-35+ 7u
How would you answer this question?
Answer: Choice B
If you lower your rates by 6% you will increase the number of occupancies by 12%
========================================================
Explanation:
Price Elasticity of Demand is found by dividing the percent change of demand over the percent change in price
[tex]\text{Price Elasticity of Demand} = \frac{\% \text{ change in demand}}{\% \text{ change in price}}[/tex]
If the price drops 6% leads to a 12% increase in demand, then we get this elasticity
[tex]\text{Price Elasticity of Demand} = \frac{\% \text{ change in demand}}{\% \text{ change in price}}\\\\\text{Price Elasticity of Demand} = \frac{12\% \text{ increase in demand}}{6\% \text{ drop in price}}\\\\\text{Price Elasticity of Demand} = \frac{12\%}{-6\%}\\\\\text{Price Elasticity of Demand} = \frac{0.12}{-0.06}\\\\\text{Price Elasticity of Demand} = -2\\\\[/tex]
The absolute value of that result is 2. We work backwards going from 2 to see the relationship between the 12% and 6%.
-------------
Side notes:
Choice A is incorrect as a price elasticity of demand larger than 2 means we have elastic (rather than inelastic) demand. Choice C is incorrect because while raising rates does bring in more money in certain situations, there's a limit to how much the price goes up before people stop showing up. The prices can't go up forever. Also, the fact we have an elastic product means people are either forgoing this hotel or finding a substitute.Choice D is incorrect. Products with high demand elasticity usually have substitutes. Any slight change in the price leads people to seek cheaper options. Unless we're dealing with a small town there are usually multiple hotels to choose from.someone please give me all the answers!
Answer:
Step-by-step explanation:
1.=71
2.=25
3.=28
4.=15 (is the sybmbol at the end is division it is 8)
5.=68/17
6.=48/9
7.=96 (if the symbol at the end is division it is 106)
8.=30
You make $38,000 per year. You have been offered a promotion and a $5,000 raise per year. Your average federal income tax rate will go up from 12% to 16% per year. Should you take the new job and the raise? how many weeks are in a year
Answer: yes
Step-by-step explanation:
The value of y varies directly with x. If x = 7, then y = 84 . What is the value of x when y = 60 ?
Answer:
if y=60 then x=5
Step-by-step explanation:
im in college Algebra if you need help just ask
Solve 7x - 8(2x - 3) + 2 = 8 *
Answer:
Step-by-step explanation:
7x - 8(2x - 3) + 2 = 8
Expand bracket and Minus 2 on both sides
7x - 16x + 24 = 6
Minus 24 on both sides, and simplify the "x's"
-9x = -18
Divide by -9 on both sides
x = 2
The domain of f(x) is the set of all real values except 7, and the domain of g(x) is the set of all real values except –3. Which of the following describes the domain of (g circle f) (x)?
Answer:
Domain of a function means the set of values of the variable for which the given function exists.
(g circle f) (x) means g{f(x)}.
g{f(x)} will exists for all the real values of x except x = 7 and that particular x for which f(x) = -3.
Hence the domain of g{f(x)} will be all real values except x = 7 and the x for which f(x) = -3
Step-by-step explanation:
Answer:
d
Step-by-step explanation:
Find the value of tan A
Answer:
Yellow: [tex]\frac{8}{15}[/tex]
Step-by-step explanation:
tangent = opposite [tex]\div[/tex] adjacent
Opposite A = 16
Adjacent A = 30 (Not 34, since that is the hypotenuse or the longest line in the triangle)
Thus, tan A = [tex]\frac{16}{30} =\frac{8}{15}[/tex]
Answer:
8/15
Step-by-step explanation:
Since this is a right triangle
tan theta = opp/ adj
tan A = 16/ 30
tan A = 8/15
