Answer:
$81
Step-by-step explanation:
9/2 = 4.5
4.5 x 18 = 81
What are the domain and range of each relation?
Drag the answer into the box to match each relation.
The domain and the range of each relation shown in the mapping and in the table of values given can be written as:
Mapping - Domain: {-2, -1, 0, 1}; Range: {-4, -2, 2}
Table - Domain: {-4, -2, 1, 4}; Range: {-2, 1, 4}
(See image attached below).
Recall:
The domain (input) of any relation consist of all the x-values.The range (output) of any relation consist of all its y-values.From the mapping shown in the image given, the domain values are:
-2, -1, 0, 1
The range values are:
-4, -2, 2
From the table of values shown in the image given, the domain values are:
-4, -2, 1, 4
The range values are:
-2, 1, 4
Therefore, the domain and the range of each relation shown in the mapping and in the table of values given can be written as:
Mapping - Domain: {-2, -1, 0, 1}; Range: {-4, -2, 2}
Table - Domain: {-4, -2, 1, 4}; Range: {-2, 1, 4}
(See image attached below).
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a vehicle purchased for $25,000 depreciates at a constant rate of 5%. determine the approximate value of the vehicle 12 years after purchase. round to the nearest whole dollar.
The value of the vehicle after 12 years of purchase will be $13,500.
Here, we are given that a vehicle purchased for $25,000 depreciates at a constant rate of 5%.
Therefore, the value of the vehicle after 1 year will reduce by-
25,000 × 5/100
= 250 × 5
= 1250
Thus, the value after 1 year will become = 25,000 - 1250 = 23750
In the same manner, the value will keep on reducing every year. Thus, the value after 12 years will become-
25,000 \((1- 5/100)^{12}\)
= 25,000 \((1 - 0.05)^{12}\)
= 25,000 \((0.95)^{12}\)
= 25,000 × 0.54
= 250 × 54
= 13,500
Thus, the value of the vehicle after 12 years of purchase will be $13,500.
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What is the range of f(x) = |x| + 7?
−7 ≤ y < ∞
−∞ < y ≤ −7
0 ≤ y < ∞
7 ≤ y < ∞
Answer: 7 > 45 &
Step-by-step explanation: You multiply every number by 33
Please help sorry if it’s a little blurry! I’ll mark brainliest if you tell me why you got that answer.
Answer:
Step-by-step explanation:
c is the correct answer
An ethanol railroad tariff is a fee charged for shipments of ethanol on public railroads. An agricultural association publishes tariff rates for railroad-car shipments of ethanol. Assuming that the standard deviation of such tariff rates is $1150, determine the probability that the mean tariff rate of 600 randomly selected railroad-car shipments of ethanol will be within $90 of the mean tariff rate of all railroad-car shipments of ethanol. Interpret your answer in terms of sampling error.
Therefore, the probability that the mean tariff rate of 600 randomly selected railroad-car shipments of ethanol will be within $90 of the mean tariff rate of all railroad-car shipments of ethanol is approximately 0.9732 or 97.32%.
What is probability?Probability is a measure of the likelihood of an event occurring. It is a number between 0 and 1, with 0 indicating that the event is impossible and 1 indicating that the event is certain. The probability of an event is calculated by dividing the number of favorable outcomes by the total number of possible outcomes. Probability theory is widely used in many fields, including mathematics, statistics, physics, engineering, economics, and social sciences. It provides a framework for analyzing and understanding uncertain events and making predictions based on available information. Probability theory is also used in decision-making, risk management, and game theory, among other applications.
Here,
Let μ be the mean tariff rate of all railroad-car shipments of ethanol, and let x be the mean tariff rate of a random sample of 600 railroad-car shipments of ethanol. We want to find the probability that x will be within $90 of μ.
The standard error of the mean (SE) can be calculated as:
SE = σ / √(n)
where σ is the standard deviation of the population, n is the sample size.
Substituting the given values, we get:
SE = 1150 / √(600)
≈ 47.03
The probability that x will be within $90 of μ can be calculated by standardizing x using the standard error and the z-score formula:
z = (x - μ) / SE
z = ($90) / 47.03
≈ 1.915
Using a standard normal distribution table or calculator, we can find that the probability of getting a z-score less than 1.915 is approximately 0.9732.
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Match each statement with the correct reasoning in the proof below given: AM = CM BM=DM
Answer: I think it’s cm = b, I think your image is very hard to see
Step-by-step explanation:
The given quadrilateral is a parallelogram.
What is a parallelogram?
A parallelogram is a special type of quadrilateral that has both pairs of opposite sides parallel and equal.
The proof is as follows;
STATEMENTS REASONS
1) AM = CM and BM = DM Given
2) m ∠ AMB = m ∠ DMC and
m ∠ AMD = m ∠ BMC Definition of Vertical angles
3) Δ AMB ≅ Δ DMC and
Δ AMD ≅ Δ BMC By SAS congruency criterion
4) AB = CD and
BC = AD BY CPCTC
5) ABCD is a parallelogram If both pairs of opposite sides of a
quadrilateral are congruent then it is
a parallelogram.
Hence, proved, ABCD is a parallelogram.
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Name a number greater than 1 that is both a perfect square and a perfect cube. Explain how you know this.
Answer:
64
Step-by-step explanation:
64 is both a perfect square and a perfect cube.
8*8=64
4*4*4=64
Answer:
hello!
Step-by-step explanation:
lets solve this,
64.
8x8= 64.
4x4x4= 64.
Suppose a distant galaxy has a recessional velocity of 8254 km/s. What is its distance given that the hubble constant is 70 km/s/mpc? input your answer as a number only, in units of mpc.
Galaxy distance is 118 mpc.
Given:
Suppose a distant galaxy has a recessional velocity of 8254 km/s. What is its distance given that the hubble constant is 70 km/s/mpc.
According to hubble's law:
v = \(H_0\\\) * D
where
v = velocity = 8254
\(H_0\\\) = hubble constant = 70
D = v/\(H_0\\\)
= 8254/70
= 4127/35
= 117.91
≈ 118 mpc.
Therefore Galaxy distance is 118 mpc.
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Which of the following statements with respect to political risk is true?
Oa. Political risk premiums are added to the required rate of return to adjust for political risks.
b. Companies cannot take any steps to reduce the potential from loss from expropriation since a foreign
government is involved.
Oc. The risk of expropriation of U.S. assets abroad is high even in traditionally friendly and stable countries.
Od. A company can reduce political risk by structuring operations so that the subsidiary has value only as a part of the
integrated corporate system.
What is the interquartile range of this data set?
1, 5, 12, 14, 29, 45, 48, 61, 72, 84, 96
OA. 60
OB. 45
OC. 27
OD. 33
SUBMIT
1, 5, 12, 14, 29, 45, 48, 61, 72, 84, 96
To find:Interquartile range ( IQR )
Solution:First, find the median of 2 halves.
1, 5, 12, 14, 29, 45, 48, 61, 72, 84, 96
\(q_{3} = 72\)
\(q_{1} = 12\)
Then, find the difference
\( = q_{3} - q_{1}\)
\( = 72 - 12\)
\(\large\boxed{\sf{IQR=60}}\)
There for the interquartile range of the given data set is 60
Answer= Option A
HURRY PLSS
6 is 24% of a number. then what's the number?
Answer:
Let the number be ‘X'
According to question,
6=24 %× X
6 =(24/100) × X
X=25
40% of the number =(40/100)×25
=10
Your family needs to rent a car for a week while on
vacation. Company A charges $3.25 per mile plus a flat
fee of $125 per week. Company B charges $3 per mile
plus a flat fee of $150 per week.
A. Write an equation to express the situation
B. After how many miles of travel are the total costs
the same at both companies?
The equation to represent the situation are as follows:
Company A;
y = 3.25x + 125
Company B;
y = 3x + 150
The miles of travel the total cost will be the same is 100 miles.
How to find the equation that represent the situation?Your family needs to rent a car for a week while on vacation. Company A charges $3.25 per mile plus a flat fee of $125 per week. Company B charges $3 per mile plus a flat fee of $150 per week.
Therefore, the equation to express the situation is as follows;
Company A;
y = 3.25x + 125
Company B;
y = 3x + 150
where
x = number of milesy = total costThe number of miles the travel will cost the same can be calculated as follows:
3.25x + 125 = 3x + 150
3.25x - 3x = 150 - 125
0.25x = 25
x = 25 / 0.25
x = 100
Therefore, the number of miles is 100 miles.
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If the mean of a given dataset is
42 and the standard deviation is
4, where will a majority of the
data lie?
Answer:
A majority of the data will lie between 38 and 46.
Step-by-step explanation:
It can be said that a majority of the data of a distribution lies within 1 standard deviation of the mean.
In this question:
Mean of 42, standard deviation of 4.
42 - 4 = 38
42 + 4 = 46
A majority of the data will lie between 38 and 46.
Here are the shopping times (in minutes) of ten shoppers at a local grocery store.
Complete the grouped frequency distribution for the data.
In the distribution, the frequency of a class is the number of shopping times in that class.
(Note that we are using a class width of 5.)
The frequency which is to filled in the table is 1, 4, 2 and 4.
Given that;
All shopping time of ten shopkeeper:
25, 29, 25, 18, 24, 28, 36, 25, 33, 37
We have to complete the frequency in the table. Frequency of something is the number of times that number is coming.
Since, Shopping time is given as ,
25, 29, 25, 18, 24, 28, 36, 25, 33, 37
And, Intervals for which frequency is given is ,
18 to 22, 23 to 27, 28 to 32, 33 to 37.
Hence, WE get;
Numbers in the range 18 to 22 = 18 therefore 1
Numbers in the range 23 to 27 = 25, 25, 24, 25 therefore 4
Numbers in the range 28 to 32 = 29, 28 therefore 2
Numbers in the range 33 to 37 = 36, 33, 37, therefore 3
Hence, the frequency which is to filled are 1, 4, 2 and 4.
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Together, teammates Pedro and Ricky got 2673 base hits last season. Pedro had 281 more hits than Ricky. How many hits did each player have?
2,673 minus 281 is 2,392.
2,392 divided by 2 is 1,196.
1,196 plus 281 is 1,477.
Answer: Ricky hit 1,196 and Pedro hit 1,477.
in a bag if marbles 1/2 are blue 1/6 are green 1/12 are yellow you pick a marble with out looking what color marble are you most likely going to choose
Answer: Blue
Step-by-step explanation:
Half of the entire freaking bag is blue,it states it in the question.If there is so many,unless by pure blind luck you will get that.
I hope it helps!
Which of the following is NOT a property of a paralleogram? * The opposite sides are equal. The opposite angles are equal. Each diagonal bisects the parallogram. The diagonals of all parallograms bisect each other at 90 degree angles. I will give brainliest
Answer:
The diagonals of all parallelograms do not bisect each other at 90 degree angles.
Step-by-step explanation:
24. This week, Cristina eamed P594.65 from selling burgers for 35 days. How much he will earn in 5 days?
A. P84.95
B. P94.95
C. P104.95
D. P114.95
25. You have four quizzes in your math subject in a quarter. You got 88.75 for the first quiz, 85.5, 90.5, and 87.25 in the second, third and fourth quizzes, respectively. What is your average in the four quizzes this quarter?
A. 86.5
B. 88
C. 89.5
D. 90 26. Amberich put P580.00 into a savings account for one year. The rate of interest on the account was 6.5%. How much was the interest for one year in pesos and centavos?
A. P67.70
B. P37.70
C. P57.70
D. P17.70
24. This week , Cristina eamed P594.65 from selling burgers for 35 days . How much he will earn in 5 days ?
A. P84.95
B. P94.95
C. P104.95
D. P114.95
25. You have four quizzes in your math subject in a quarter . You got 88.75 for the first quiz , 85.5 , 90.5 , and 87.25 in the second , third and fourth quizzes , respectively . What is your average in the four quizzes this quarter ?
A. 86.5
B. 88
C. 89.5
D. 90
26. Amberich put P580.00 into a savings account for one year . The rate of interest on the account was 6.5 % . How much was the interest for one year in pesos and centavos ?
A. P67.70
B. P37.70
C. P57.70
D. P17.70
Question 24 :
P594.65 : 35 days
P594.65/7 : 35/7 days
P84.95 : 5 days
⇒ A. P84.95
Question 25 :
88.75 + 85.5 + 90.5 + 87.25 / 4
352/4
88
⇒ B. 88
Question 26 :
I = P × r × t
I = 580.00 × 0.065 × 1
I = P37.70
⇒ B. P37.70
what is the value of the underlined digit in the number 27,416,385. 4 is the underlined number.
The value of the underlined digit in the number 27,416,385.( 4 is the underlined number.) is the hundred thousandths place.
How can the digits be known?The symbols, from 0 to 9 can be described as a digit. For instance, the numbers 2 and 3 are used to represent the number 23. however amount is represented by a number.
It should be noted that It may be expressed using one, two, three, or even more digits however only single symbol used to represent a number is a digit in the case above we can see that 4 is the hundred thousandths place.
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Use the change of base formula to evaluate the logarithms to the nearest thousandth.
log36 =
✔ 1.631
log520 =
✔ 1.861
log2 (One-fifth) =
✔ –2.322
Answer:
1.861
Step-by-step explanation:
I just know
Answer:
the answers are 1.631, 1.861, -2.322
Step-by-step explanation:
3. x=____(maroon)
4. x=____ (black)
5. x=____ (green)
6. x=____ (orange)
The value of the missing angles of each of the triangles are;
3) x = 4
4) x = 70°
5) x = 76°
6) x = 80°
How to find the missing angles?3) From the given image, we see that the angles are equal at the base of the diagonal bisecting the rhombus.
Thus, the triangles are isosceles triangles and as such 2 sides each are equal. Thus;
x = 4
4) The triangle is an Isosceles Triangle and the apex has an angle of 40°. Thus, the two base angles are x and since sum of angles in a triangle is 180°, then;
40 + 2x = 180
2x = 180 - 40
2x = 140
x = 140/2
x = 70°
5) This is an Isosceles triangle and the two base angles must thus be equal. Therefore; x = 76°
6) From the concept of Isosceles triangle, we can say that the base angles that have x as its' apex are;
90 - [180 - (70 + 70)]
= 50°
Thus;
x = 180 - 2(50)
x = 80°
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The volume of a cone is 13.4m cubed and the radius is 3.2m what is the height
Answer:
The height is 1.25m.
Step-by-step explanation:
Volume = 1/3 πr²h
Given:
V = 13.4 m³
r = 3.2 m
Asked: height (h)
Substitute the formula with the given values then solve
13.4m³ = 1/3π(3.2m)²h
13.4(3) = 10.24πh
40.2 = 10.24πh
h = 40.2/10.24π
h = 1.25m
The height of the cone is 1.25 meters.
We know that the volume of the cone is given by
V = (1 / 3) * π * r ^2 * h................equation 1
where,
V is the volume of the cone.
r is the radius of the cone's base
h is the height
The volume and radius of the cone are given,
V = 13.4 m
r = 3.2m
substituting these values in equation 1 we get,
13.4 = (1 / 3) * 3.14 * 3.2 ^ 2 * h
on simplifying further
13.4 = 10.717 * h
h = 1.25m
The height of the cone is 1.25 meters.
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what is 999.09344471 rounded to the nearest square kilometer?
The nearest kilometers to 999.09344471 km is 1000 km.
Given value is 999.09344471 Km.
We have to calculate the round off value to the nearest kilometers. we know that after the decimal if the value of tenth place is 5 or bigger than 5 then we add 1 to the tens place digit, this is the fundamental rule of rounding off.
Now on following this rule from the very right hand side up to the tenth place digit we come to the conclusion that only the value after the decimal (934) is to be rounded off which is (900).
So 999.09344471 km is finally becomes 999.900 km after rounding of to nearest hundredth value.
Again rounding off 999.900 km to nearest km so it becomes 1000 km.
The nearest kilometers to 999.09344471 km is 1000 km.
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Given: sin 18° = p Without using a calculator,
Answer:
P = 0.309
Step-by-step explanation:
7. Which value of x makes the ratios equal?
x/12 =3/9
Answer:
x=4
Step-by-step explanation:
x/12 = 3/9x/12=1/3x=4cross multiplyyA pole 11 feet tall is used to support a guy wire for a tower, which runs from the tower
to a metal stake in the ground. After placing the pole, Violet measures the distance
from the pole to the stake and from the pole to the tower, as shown in the diagram
below. Find the length of the guy wire, to the nearest foot.
The length of the guy wire, to the nearest foot is 48 ft.
What is mean by foot of Maths?A unit of length (or distance) in US units equal to 12 inches. The abbreviation is: ft. Or sometimes the single quote mark: ' Example: 10 feet can be written 10 ft, or just 10' A foot is exactly 0.3048 meters in the Metric System (the foot is defined that way).
Step-by-step explanation:
Here, we want to find the length of the wire
from the diagram, we can identify two similar triangles
The smaller one and a bigger one
Mathematically, when two triangles are similar, the ratio of their corresponding sides are equal
We can start by getting the height of the tower
we have this as:
8/11 = 28/x
8 * x = 28 * 11
8x = 308
x = 308/8
x = 38.5 ft
So as we can see, the wire represents the hypotenuse of the larger triangle that measures 28 ft base and 38.5 ft height
So we can use the Pythagoras’ theorem to get the hypotenuse
Let us call this g mathematically;
According to the theorem, the square of the hypotenuse equals the sum of the squares of the two other sides
thus, we have it that;
g^2 = 38.5^2 + 28^2
g^2 = 2,266.25
g = √2,266.25
g = 47.61 which is approximately 48 ft
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PLEASE HELPP ASAPPP pleaseeeee
answer: 28561^2in the area involves multiplying by the 4 sides of the shaded square and the shaded is the colored square.
Can someone help me please
Answer:
181.25 square feet
1/6 quart water
1/18 cup milk
1/3 beef bouillon cube, and 2/3 a large carrot
Step-by-step explanation:
Dividing by a Monomial
What is (9x^3-6x^2+15x) ÷ 3x^2?
Answer:
\(3x-2+\frac{5}{x}\)
Step-by-step explanation:
To divide the polynomial (9x^3 - 6x^2 + 15x) by the monomial 3x^2, we can write it as:
(9x^3 - 6x^2 + 15x) ÷ (3x^2)
To simplify the division, we divide each term of the polynomial by 3x^2:
(9x^3 ÷ 3x^2) - (6x^2 ÷ 3x^2) + (15x ÷ 3x^2)
To divide monomials with the same base, we subtract the exponents. So:
9x^3 ÷ 3x^2 = 9/3 * (x^3/x^2) = 3x^(3-2) = 3x
(-6x^2) ÷ (3x^2) = -6/3 * (x^2/x^2) = -2
15x ÷ 3x^2 = 15/3 * (x/x^2) = 5/x
Putting it all together, we have:
(9x^3 - 6x^2 + 15x) ÷ (3x^2) = 3x - 2 + 5/x
Therefore, the division of (9x^3 - 6x^2 + 15x) by 3x^2 is 3x - 2 + 5/x.
-4x+3y=-3 17x - 4y = 14
Answer:
x=98
935
y=
4494
935
Step-by-step explanation:
x=321x
7
317x=4y=14