The function y = 2.5x + 500 represents the total number of miles if the motor car race is 500 miles long, option (d) is correct.
What is a function?It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
We have:
y represents the number of miles a motor car has left to go in the race
x represents the number of laps completed by the motor car
The total number of miles if we consider only circular speedways = 2.5x
The total number of miles:
y = 2.5x + 500 (because 500 is the constant)
Thus, the function y = 2.5x + 500 represents the total number of miles if the motor car race is 500 miles long option (d) is correct.
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A line passes through the points (2, 1) and (4, 9). What is its equation in slope-intercept
form?
Write your answer using integers, proper fractions, and improper fractions in simplest form.
Explanation:
Let's find the slope of the line through those two points.
[tex](x_1,y_1) = (2,1) \text{ and } (x_2,y_2) = (4,9)\\\\m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}\\\\m = \frac{9 - 1}{4 - 2}\\\\m = \frac{8}{2}\\\\m = 4\\\\[/tex]
Then we can apply point-slope form to transform it into slope-intercept form.
[tex]y-y_1 = m(x - x_1)\\\\y-1 = 4(x - 2)\\\\y-1 = 4x - 8\\\\y = 4x - 8+1\\\\y = 4x - 7\\\\[/tex]
Answer:
let point A be (2,1) and
B be (4,9)
Now,Slope =y2-y1-----------------
x2-x1= 9-1---------
4-2=8-----
2=4In ΔHIJ, i = 99 inches, j = 99 inches and ∠H=9°. Find the length of h, to the nearest inch.
Answer:
99
Step-by-step explanation:
Answer:
16
Step-by-step explanation:
Please help me its a math problem thank you i give brainlist
Answer:
1.875
Step-by-step explanation:
the average rate of change of g(x) in the closed interval [ a, b ] is
[tex]\frac{g(b)-g(a)}{b-a}[/tex]
here [a, b ] = [- 1, 3 ] , then
g(b) = g(3) = 2³ + 1 = 8 + 1 = 9
g(a) = g(- 1) = [tex]2^{-1}[/tex] + 1 = [tex]\frac{1}{2}[/tex] + 1 = 1.5
then
average rate of change = [tex]\frac{9-1.5}{3-(-1)}[/tex] = [tex]\frac{7.5}{4}[/tex] = 1.875
PLSS HELPP
Question 13 of 40
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If f(x) = 2x² - 5 and g(x) = x² - 4x − 8, find (f – g)(x).
Options:
A. (f - g)(x) = -x^2 - 13
B. (f - g)(x) = x^2 + 4x + 3
C. (f - g)(x) = x^2 - 4x - 3
D. (f - g)(x) = 3x^2 - 4x - 13
Answer:
[tex](f - g)(x) = x^2 + 4x + 3[/tex]
Step-by-step explanation:
[tex]f(x) = 2x^2 - 5g(x) = x^2 - 4x - 8(f - g)(x)=2x^2 -5 - (x^2 -4x-8)[/tex]
[tex]= 2x^2 -5 -x^2 +4x+8[/tex] ----------> distribute
[tex]= x^2 +4x +3[/tex] ------------> combine like terms
Therefore, Option B is the correct answer.
Solve for d -6 = d/3
Answer:
-18
Step-by-step explanation:
If you live in a state that needs to collect $18 million in property taxes and has a tax rate of 2.77%, what is that state's
taxable value?
O $650 million
O $65 million
O $6 million
O $499,000
Answer:
la respuesta es 65 millones
2.) If z varies inversely as r, and z= 24 when r = 6, find r when z= 12
Step-by-step explanation:
........ .......... ....
HELP ME PLEASE. I REALLY NEED THIS
Answer:
girl good luck I cant even do that.
Helppppppp meeeeeee pleaseeeeee
Answer:
6 meters × 4 meters = 24 square meters
Step-by-step explanation:
to find the area of a rectangle you do the length times the width
the length is 6m and the width is 4m so you times them together which gives you 24m²
What are the odds of rolling a sum of 6 using two number cubes? (Hint.. there are 36 possible outcomes)
Answer:
5/36
Step-by-step explanation:
there are only 5 times you can get a sum of 6,
1+5,2+4,3+3,4+2,5+1( note: the first value is from the first die and the second is from the second die)
The box-and-whisker plot below represents some data set. What is the value of the
second quartile?
H
50
100
150
200
Answer:
Submit Answer
The second quartile is the median of the data sets and have a value of 100.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
The box-and-whisker plot provides a five number summary of data sets i.e. minimum, lower quartile, median, upper quartile and range.
The second quartile is the median of the data sets and have a value of 100.
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18.5 yd
11.7 yd
6.3 yd
14.3 yd
the surface area
Cavalieri’s principle states that if two solids of equal height have equal cross-sectional areas at every level parallel to the respective bases, then the two solids have equal volume. the two shaded solids both have a height of 2r units. at every level, the areas of the cross sections of both solids equal π(r2 – b2). a cylinder and a sphere are shown. 2 cones are cut out of the cylinder. the cones have a radius of 4. the cylinder has a height of 2 r. the sphere has a radius of 4. the sphere has a height of 2 r. cross-sectional areas are shown on each figure. therefore, the formula for the volume of the sphere can be derived by writing an expression that represents the volume of one cone within the cylinder. the two cones within the cylinder. the solid between the two cones and the cylinder. the cylinder.
Therefore, the formula for the volume of the sphere can be derived by writing an expression that represents the volume of C. The solid between the two cones and the cylinder
What is the Volume of a Sphere?
This refers to the capacity of a sphere, which is the maximum that can be contained in the sphere. This is denoted as V=4/3πr3
Hence, we can see that based on Cavalieri’s principle that states that if two solids of equal height have equal cross-sectional areas, then the two solids have equal volume.
Therefore, the two shaded solids both have a height of 2r units, and thus, to derive the function, we would have to write an expression that represents the volume of the solids between the two cones and the cylinder
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Answer: B
Step-by-step explanation: just did it
If u have 0,-1,1.7, 1/2 do it from least to greatest
Answer:
-1,0,1/2,1.7
Step-by-step explanation:
Answer:
-1, 0, 1/2, 1.7
Step-by-step explanation:
hope this helps
have a good day
What is the area of a square with sides that each have a length of 1 meter?
Answer:
1 m^2
Step-by-step explanation:
A = W * L
1 * 1 = 1
Given that a randomly chosen customer likes cake, what is the probability that the customer also likes pie? two-sevenths two-fifths four-sevenths four-fifths
Using it's concept, it is found that the probability that the customer also likes pie is of [tex]\frac{2}{7}[/tex]
What is a probability?A probability is given by the number of desired outcomes divided by the number of total outcomes.
Researching the problem on the internet, it is found that of the 14 students that like cake, 4 also like pie, hence the probability is given by:
p = 4/14 = 2/7.
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Answer:
it's a i think
Step-by-step explanation:
Drag the numbers into the boxes to write the number in standard form. Numbers may be used once, more than once, or not at all.
4
×
10
)
+
(
3
×
1
100
)
+
(
5
×
1
1000
)
01345
.
The written form of the expression of (4 × 10 ) + ( 3 × 1/100)+(5×1/1000) is given as 4.035.
What is standard form?A standard form of a number is known to be the used in writing the number in a way that follows a specific rules.
Therefore, The written form of the expression of (4 × 10 ) + ( 3 × 1/100)+(5×1/1000) is given as 4.035.
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There are 6 marbles in a bag: 1 blue, 1 red, 1 white, 1 yellow, 1 green, and 1 black. Mary picks one marble at random and then her sister chooses another from those left in the bag.
What is the probability that Mary picks the red marble and her sister picks the blue marble?
Answer:
1 in 30
Step-by-step explanation:
1 in 6 chance Mary picks the red marble in the first place. After this there is a 1 in 5 chance her sister picks the blue one. 5 multiplied by 6 is 30.
The probability that Mary picks the red marble and her sister picks the blue marble is [tex]\frac{1}{30}[/tex] .
Concept:Firstly, we need to find the probability of Mary picking a red marble from the 6 marbles.Secondly. we need to find the probability of Mary's sister picking a blue marble from the 5 left marbles.As both are mutually exclusive events , the required probability is the multiplication of both above.How to solve the given question?P(A) = Mary picking a red marble out of 6 marbles = [tex]\frac{1}{6}[/tex]P(B) = Mary's sister picking a blue marble out 5 left marbles = [tex]\frac{1}{5}[/tex]P(E) = Required probability = P(A) × P(B) = [tex]\frac{1}{6}[/tex] × [tex]\frac{1}{5}[/tex] =Thus, the probability that Mary picks the red marble and her sister picks the blue marble is [tex]\frac{1}{30}[/tex] .
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The Allied Taxi Company charges $2. 50 to pick up a passenger and then adds $1. 95 per mile. Isaac was charged $27. 46 to go from one city to another. If x represents the number of miles driven by the taxi, which linear equation can be used to solve this problem, and how many miles did Isaac travel, rounded to the nearest tenth? 1. 95x 2. 50 = 27. 46; Isaac traveled 15. 4 miles. 1. 95x 2. 50 = 27. 46; Isaac traveled 12. 8 miles. 2. 50x 1. 95 = 27. 46; Isaac traveled 11. 8 miles. 2. 50x 1. 95 = 27. 46; Isaac traveled 10. 2 miles.
Answer:
see the attachment.
i hope this can help you
A triangular prism has a triangular face with a base of 7 meters and a height of 10 meters. It’s volume is 259 cubic meters. What is the length of the triangular prism. (will mark brainliest)
What is the length of the triangular prism is 3.7
259 / 10 = 25.9
25.9 / 7
= 3.7
Pete, Lulu and Liza are walking in the Boston downtown. Each time Pete takes 4
steps, Lulu takes 3 steps. Each time Lulu takes 5 steps, Liza takes 4 steps. If Liza
takes 120 steps, how many steps does Pete take?
If Liza takes 120 steps, then the number of steps taken by Pete will be 72.
What are a ratio and a proportion?A ratio is an ordered set of integers a and b expressed as a/b, with b never equaling 0. A percentage is a mathematical expression in which two things are equal.
Pete, Lulu, and Liza are walking in the Boston downtown. Each time Pete takes 4 steps, Lulu takes 3 steps. Each time Lulu takes 5 steps, Liza takes 4 steps.
Then the relation between is given as
4 Pete → 4 Lulu
5 Lulu → 4 Liza
Then we have
[tex]\rm \dfrac{5}{3} \times 4 \ Pete \rightarrow \dfrac{5}{3} \ Lulu \rightarrow 4 \ Liza[/tex]
If Liza takes 120 steps, then the number of the step taken by Pete will be
[tex]\rm \dfrac{5}{3} \times 4 \ Pete \rightarrow 4 \times 120 \\\\Pete \rightarrow 72[/tex]
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Find the lateral area for the prism.
36 in 2
54 in 2
27 in 2
81 in 2
Answer 27 in^2:
Step-by-step explanation:
Solve for the variable and give an exact answer.
Answer:
4√ 2
Step-by-step explanation:
2x^2=64 and x^2 = 32 so x= 4√ 2
What about psychology?
Psychology is the scientific study of mind and behavior.
innahbee (. ❛ ᴗ ❛.)
Factorise fully 18g - 15
Answer:
3(6g - 5)
Step-by-step explanation:
1. First, find the GCF of 15 and 18.
Factors of 15:
1, 3, 5, 15
Factors of 18:
1, 2, 3, 6, 9, 18
The GCF of 15 and 18 is 3.
2. Factorize
3(6g - 5)
3. Check you answer:
3(6g) + 3(-5)
18g - 15
Hope this helps!
Please answer c.) with working
Answer:
a: 44%
(11×100)÷25=44
b: 3
2×4=8
3×1=3
8+3=11
14-11=3
PLEASE HELP!!
What is the area of triangle ΔPQR round to the nearest tenth of a square meter? Drawing is not to scale.
A. 60.8 m2
B. 65.3 m2
C. 30.4 m2
D. 32.7 m2
Answer:
B
Step-by-step explanation:
PLSSS HELP ASAP!
(Will give brainliest)
Answer:
Question 3: D, 90°
Question 2: D, 84°
Step-by-step explanation:
Answer:
2. d. 84°
3. d. 90°
Step-by-step explanation:
Q2
32 + 64 + x = 180x + 96 = 180x = 84°Q3
20 + 70 + x = 180x + 90 = 180x = 90°Please help me ia m stuggling
Answer: use the Pythagorean theorem
if you use the Pythagorean theorem it would be so much easier:)
Step-by-step explanation:
What is one benefit of attending trade school after high school?
A. To choose from numerous
electives
B. To prepare for graduate school
C. To learn a practical skill
D. To live in a dorm
One benefit of attending trade school after high school is to learn practical skills.
What is a trade school?A trade school is one which focuses on practical knowledge along with theoretical concepts. In a trade school, they will teach you about the end use of what you are studying.
They provide you with proper practical knowledge in a particular field like welding, machining, forging etc. It is very important to have practical skills along with theoretical subject knowledge.
It increases your chances of being selected by any company and also gives you more opportunities to learn.
Therefore benefit of attending trade school after high school is to learn practical skills.
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Answer: c. to learn a practical skill
Step-by-step explanation: