Answer:
3600 miles
Step-by-step explanation:
75mi/15 seconds is our proportion
there are 60 seconds in 1 minute. 60/15 = 4
there are 12 minutes. 12X 4 = 48
we need to multiply 75 mi by 48 to find our distance
75 X 48 = 3600
2.5 x + 10 = x minus 0.5?
Answer: x = -7
Step-by-step explanation:
2.5x+10=x-0.5
Collect like terms
2.5x-x= -0.5 -10
1.5x= -10.5
X= -10.5/1.5
X= -7
Answer: -7
Step-by-step explanation:
PLEASE HELP 35 PTS Select the correct answer.
The scatter plot shows the number of albums sold from 2006 to 2011. What is the association between the two quantities?
A.
positive linear association
B.
negative linear association
C.
positive nonlinear association
D.
no association
Answer:
Its definetley negitive linerar assosiation
plato lives matter
Step-by-step explanation:
The association between the two quantities is a negative linear association.
Option B is the correct answer.
What is a scatterplot?A scatterplot is a type of graphical display that is used to represent the relationship between two continuous variables.
In a scatterplot, each point represents the values of the two variables, with one variable being plotted along the x-axis and the other variable being plotted along the y-axis.
The position of each point on the graph represents the values of both variables for that particular observation.
We have,
From the scatter plot we see that,
As the year increases, the album sold decreases.
This means,
There is a negative association.
And the association is more or less a straight line.
Thus,
The association between the two quantities is a negative linear association.
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Dose anyone know what to do I don’t know how
Answer:
a=7b+27/2
Step-by-step explanation:
1: Add 7/3b to both sides.
2 /3 a+ −7 /3b + 7/3b = 9+ 7/3b
2/3a=7/3b+9
2: Divide both sides by 2/3.
2/3a= 7/3b + 92
/ 2/3a / 2/3a
a=7b+27/2
Explain how you write “three and nine hundredths” as a decimal.
Answer:
3.09
Step-by-step explanation:
three and 9 hundredths
and meaning a decimal
hundredths is the second place after the decimal
3.09
Three and nine hundredths as a decimal form is equals to 3.09.
What is decimal form?" Decimal form is representation of number as a combination of whole number and it fractional part."
According to the question,
Hundredths is the second digit to the right of the decimal.
Three and nine hundredths = 3.09
Hence, three and nine hundredths as a decimal form is equals to 3.09.
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There is 1000cm3 of aluminum available to cast a trophy that will be in the shape of a right square pyramid. Is this enough aluminum for a trophy that has a base edge of 10 cm and a slant height of 13 cm.
The 1000 cubic centimeters of aluminium is enough for aluminium a trophy that will be in the shape of a right square pyramid and has a base edge of 10 cm and a slant height of 13 cm.
Step-by-step explanation:
The given is,
Volume of aluminium available is 1000 cubic centimeters
Shape of trophy is right square pyramid
Trophy has a base edge of 10 cm and slant height of 13 cm
Step:1
Formula for volume of right square pyramid,
[tex]Volume, V = a^{2}\frac{h}{3}[/tex].....................................(1)
Where, a - Base edge value
h - Height of pyramid
From given,
a = 10 cm
h = 13 cm
Equation (1) becomes,
[tex]= 10^{2}(\frac{13}{3} )[/tex]
[tex]= (100)(4.333)[/tex]
[tex]= 433.33 cm^{3}[/tex]
Volume of trophy = 433.33 cubic centimeters
Compare with the volume of available aluminium and volume of right square pyramid,
[tex]Volume of available aluminium > Volume of right square pyramid[/tex]
[tex]1000 cm^{3} > 433.33 cm^{3}[/tex]
So, the given volume of aluminium is enough to make right square pyramid shaped trophy.
Result:
The 1000 cubic centimeters of aluminium is enough for aluminium a trophy that will be in the shape of a right square pyramid and has a base edge of 10 cm and a slant height of 13 cm.
Answer:
Yes, the volume of the trophy is 400 cm3
Factor as the product of two binomials.
x^2 + 6x + 9 =
Answer:
(x + 3) (x + 3)
Step-by-step explanation:
This is because if you solve that, it would be x² + 3x + 3x + 9
Therefore it would equal x² + 6x + 9
Answer:
I need help on this one to its hard
in circle F, points A,B,C,D, and E are located on the circle such that measure of C=119°, and BE is perpendicular AD. determine the measure of arc AE. show how you arrived at your answer.
Answer:
Measure of arc AE = 58°
Step-by-step explanation:
As shown: ABCD is a quadrilateral, ∠C = 119°
So, ∠C + ∠A = 180°
∴ ∠A = 180° - ∠C = 180° - 119° = 61°
ΔAGB is a right triangle at G
So, ∠A + ∠B = 90°
∴ ∠ABG = 90 - ∠A = 90 - 61 = 29°
Arc AE opposite to the angle ∠ABG
So, measure of arc AE = 2∠ABG = 2 * 29° = 58°
which equation will be parallel to y=6 A)Y= -6x B)X=6 C)y=1 D)Y=6x
Answer:
C) y = 1
General Formulas and Concepts:
Algebra I
y = b lines have a slope of 0Parallel Lines - Lines that have the same slope but different y-intercepts. They never intersect.Step-by-step explanation:
We are given the line y = 6, a horizontal line with a slope of 0.
According to the answer choices, we need to find an equation of a line that also has a slope of 0.
A, B, and D are all incorrect, as they have a different slopes than the original line (Slope of -6, undefined, and 6 respectively).
Therefore, our only option is C, which is the correct answer.
y = 1 has the same slope, a slope of 0. However, it has a different y-intercept, a y-intercept of 1 compared to the original y-intercept 6. They are parallel and will never intersect.
Fiona is making a box to hold firewood cut to 20-inch lengths. The box has to be 2 feet wide to accommodate the length of the wood pieces. Fiona wants the length to be 7 feet longer than the height. The graph models the possible volume (y) of Fiona’s box determined by its length (x). Which value of x makes sense for the length of Fiona’s box? x < 7 x > 0 x > 3.5 x > 7
Answer:
c
Step-by-step explanation:
Answer:
b
Step-by-step explanation:
Combine like terms to simplify the expression 3X + 5 - X + 1
Please help me. You must show all work
Answer:
21
Step-by-step explanation:
Michelle earns $5 for each lawn she mows. Last week she earned $30 mowing lawns. This week she earned $20 mowing lawns. Which statement correctly explains how many more lawns Michelle mowed last week than this week? A) Michelle mowed 2 more lawns because 30 ÷ 5 is 2 more than 20 ÷ 5. B) Michelle mowed 10 more lawns because 30 + 5 is 5 more than 20 + 5. C) Michelle mowed 10 more lawns because 30 – 5 is 10 more than 20 – 5. D) Michelle mowed 50 more lawns because 30 × 5 is 50 more than 20 × 5.
Answer: A
Step-by-step explanation:
Answer:
A is correct because it is the only one to make sense
What is the area of the following circle? Either enter an exact answer in terms of pie or use 3.14 for pie and enter your answer a decimal
The area of a circle with a radius of 1.2 meters is 4.5 m², rounded to two significant figures to match the precision of the given radius.
Explanation:The area of a circle is given by the formula A = πr², where π (pi) represents a mathematical constant approximately equal to 3.14159, and r is the radius of the circle. When calculating the area with a radius of 1.2 meters, we get the precise calculation as A = π(1.2 m)² = 4.5238934 m². However, as the radius is given with only two significant figures, the area should also be rounded to two significant figures, resulting in A=4.5 m².
Percy and Caren are having a debate. Percy contends that the headquarters of the United States Department of Defense (also known as the Pentagon) has a longer perimeter than the United States Capitol. Caren contends the opposite. To settle their debate, they find satellite images of both buildings online and juxtapose them on a single coordinate grid (shown below). Assume the Pentagon is a regular pentagon with side length 300. The perimeter of the Pentagon is
Answer:
1500 units.
Step-by-step explanation:
-A pentagon is a a regular pentagon with 5 equal sides.
-Since the side length's are equal, the perimeter is simply the product of one side length by the number of sides of the polygon.
-Given its sides measures 300 each, its perimeter can be calculated as:
[tex]P=5s\\\\=5\times 300\\\\=1500 \ units[/tex]
Hence, the Pentagon's permimeter is 1500 units.
Answer:
The perimeter of the Pentagon is 1500
The perimeter of the Capitol is 1131
Percy would win the debate
Step-by-step explanation:
HigherOrder thing name two rays with the same endpoint in the figure below. Do they form an angle? Explain.
Ray AC and Ray CA. Yes, they form an angle of 180 degrees because they are both on a straight line.
In Mathematics and Euclidean geometry, a ray is composed of two points that are joined by a straight line and it extends infinitely in a single direction.
A line is a mark with length and direction, that is created by a point that is moving across a surface and extending infinitely.
By critically observing the figure shown in the image attached below, we can logically deduce that two rays with the same endpoint include:
Ray AC
Ray CA.
Complete Question:
Higher Order thinking Name two rays with the same endpoint in the figure below. Do they form an angle? Explain.
PLEASE HELP: A theme park has a ride that is located in a sphere. The ride goes around the widest circle of the sphere which has a circumference of 540.08 yd. What is the surface area of the sphere? Use 3.14 for pi.
The problem involves finding the surface area of a sphere using its circumference. This can be achieved by first calculating the radius from the given circumference, and then substituting this value into the formula for the surface area of a sphere.
Explanation:The subject for this problem is finding the surface area of a sphere using its circumference. To solve this, you need to apply some mathematical concepts and formulas related to spheres and circles. The circumference of a circle (or the widest circle in a sphere, in this case) is given by
C=2πR, where R is the radius of the circle.
So, first, you need to find the radius of the sphere from the given circumference:
540.08 = 2πR, solve this to get R = 540.08 / (2*3.14).
According to the formula for the surface area of a sphere A=4πR²,
we can substitute the value of R that we have calculated to find the surface area of the sphere.
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Which would prove that ΔABC ~ ΔXYZ? Select two options.
Step-by-step explanation:
I think by the having all 2 of angles are equal
and corresponding sides are in same ratio
and by having all corresponding sides in same ratio
Answer:
I think it is option a, b, and c.
Step-by-step explanation:
1. The monthly rents for studio apartments in a certain city have a mean of $920 and a standard deviation of $190. Random samples of size 25 are drawn from the population and the mean of each sample is determined.
What is the mean of the indicated sampling distribution of sample means?
2. What is the standard error of the indicated sampling distribution of sample means?
3. Which one is more likely to take place?
a. Find one studio apartment that has a rent between $901 and $939.
b .Find a sample of 25 studio apartments with a mean rent between $901 and $939.
Answer:
1)Mean=920 $
2)Standard Error =S.E.=38
3)more likely to take place Event 25 studio apartments with a mean rent between $901 and $939
Step-by-step explanation:
Given:
True mean =920 $
S.D=190 $
No .of samples=25
To Find:
1)Mean of sample.
2)S.E
Solution:
Now , the mean for given sample distribution is given as 920 $
Hence Mean =920 $
Now calculating the Standard error
S.E.= S.D./Sqrt(n)
=190/Sqrt(25)
=190/5
=38
Therefore the Standard error is about 38 .
a) When n=1 then P(901≤X≤939)
So,
Z1=(901 -920)/190/Sqrt(1)]
Z1=-0.1
Z2=(939-920)/(190/Sqrt(1)]
Z2=0.1
So
Pr(-0.1≤Z≤0.1)=P(Z≤0.1)-P(Z≤-0.1)
=0.5398-0.4602
=0.0797 % chance of the sample distribution
b)n=25 then P(901≤X≤939)
Z1=(901-920)/S.E
Z1=-19/38=
Z1=-0.5
And Z2=0.5
So,
Pr(-0.5≤Z≤0.5)
=Pr(Z≤0.5)-Pr(Z≤-0.5)
=0.6915-0.3085
=0.3829
i.e 38.29 % chance of the sample distribution
Hence More likely to take place will be a sample of 25 studio apartments with a mean rent between $901 and $939.
0.3829>0.0797.
Because the probability of causing above event is more than the option A.
A person invests 9000 dollars in a bank. The bank pays 4.25% interest compounded daily. To the nearest tenth of a year, how long must the person leave the money in the bank until it reaches 19600?
The person must invest the money in the bank for 18 years to reach $19600, if a person invests 9000 dollars in a bank and the bank pays 4.25% interest compounded daily.
Step-by-step explanation:
The given is,
A person invests 9000 dollars in a bank
The bank pays 4.25% interest compounded daily
Future amount $19600
Step:1
Formula to calculate the future investment with compounded daily,
[tex]A = P (1+\frac{r}{n})^{nt}[/tex]................................(1)
Where, A - Future amount
P - Initial investment
r - Interested rate
n - No.of times for a year
t - No.of years
Step:2
From the given values,
A = $ 19600
P = $ 9000
r = 4.25 %
n = 365 ( ∵ Compounded daily )
Equation (1) becomes,
[tex]19600 = 9000(1+\frac{0.0425}{365})^{365t}[/tex]
[tex]\frac{19600}{9000}= (1+0.000116438)^{365t}[/tex]
[tex]2.177778=(1.000116438)^{365t}[/tex]
( Take log on both sides )
[tex]log 2.17778= log (1.000116438)^{365t}[/tex]
[tex]log 2.17778=( 365t)log (1.000116438)[/tex]
Substitute the log values,
[tex]0.338014 = (365t)(0.000050565)[/tex]
[tex]\frac{0.338014}{0.000050565}= 365t[/tex]
[tex]6684.6842 = 365t[/tex]
[tex]t = \frac{6684.6842}{365}[/tex]
= 18.314
≅ 18 years
No.of years, t = 18 years
Result:
The person must invest the money in the bank for 18 years to reach $19600, if a person invests 9000 dollars in a bank and the bank pays 4.25% interest compounded daily.
It will take approximately 18.4years for the person to make 19600
The formula for calculating the compound amount is expressed as:
[tex]A=P(1+\frac{r}{n} )^{nt}[/tex] where:
A is the amount
P is the amount invested
n is the compounding amount
t is the time taken
Given the following parameters
A = 19600
P = 9000
r = 4.25% = 0.0425
n = 365 (compounded daily)
Substitute the given parameters into the formula to get the time "t"
[tex]19600 = 9000(1+\frac{0.0425}{365} )^{365t}\\2.1778 = (1+0.0001164)^{365t}\\2.1778 = (1.0001164)^{365t}\\log2.1778 = 365tlog(1.0001164)\\0.3380 = 0.0184t\\t = \frac{0.3380}{0.0184} \\t \approx 18yrs[/tex]
Hence it will take approximately 18.4years for the person to make 19600
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Janice examines the given triangle and estimates that the longest side has a length of 25 units―if it is a right triangle. How does her estimate compare to the actual length?
It is exactly correct.
It is under by approximately 0.6 units.
It is over by approximately 0.6 units.
It is over by 13 units.
Answer:it is under by approximately 0.6 units
Step-by-step explanation:
Answer:
its B. (it is under by approximately 0.6 units.)
Step-by-step explanation:
I got it right on 2020 Edu.
Write the set of points from -5 to -2 but excluding -4 and -2 as a union of intervals
Answer:
[-5,-4) U (-4,-2)
Step-by-step explanation:
The brackets means including, the parenthesis does not include the number it is next too. The U in between the two points stands for union.
Find the difference. -16 – 6
Answer:
-16 - 6 would be -22
Step-by-step explanation: The reason for this is is simple subtraction except in this case you wanna think of addition. -16 - 6 can also be thought of 16+6. In that case you get 22 and then you just add the negative sign.
Solve the following problem:
-3 + 7 -5 + (-10)
how do i get the answer to solve it
Answer:
-11
Step-by-step explanation:
-3+7-5+(-10)=
7-3-5-10=
7-18=
-11
Complete the equation so that it has solutions of -5 and 7
2+
Answer:
x^2 -2x -35 = 0
Step-by-step explanation:
Lets's solve backwards
x = -5
Add 5 to both sides
x + 5 = 5 - 5
x + 5 = 0
and
x = 7
Subtract 7 from both sides
x - 7 = 7 - 7
x - 7 = 0
Finding the product of both linear functions
(x + 5)(x - 7) =0
x^2 -7x + 5x -35 =0
x^2 -2x -35 = 0
A transformation is applied to a figure to create a new
figure. Which transformation does not preserve congruence?
O A reflection across the x-axis
O A translation 7 units down
O A dilation by a scale factor of 5
O A rotation of 90° clockwise
The only transformation that does not preserve congruence is a translation 7 units down
Transformation of figureTransformation is the process of changing the position of an object on an xy-plane.
A reflection preserve the congruence since it only create a mirror image of the figure.
Dilation also preserve congruence since it only enlarges the given figure. The only transformation that does not preserve congruence is a translation 7 units down
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Which shows a correct way to determine the volume of the right rectangular prism?
A 9 + 1 + 8 = 18 Centimeters cubed
B 2(9 + 1 + 8) = 36 Centimeters cubed
C 9(3) + 1 = 28 Centimeters cubed
D 9(8)(1) = 72 Centimeters cubed
Answer:
Option D.
Step-by-step explanation:
From the given figure it is clear that,
Length = 9 cm
Breadth = 8 cm
Height = 1 cm
We know that the volume of a cuboid is
[tex]V=Length\times Breadth\times Height[/tex]
[tex]V=9\times 8\times 1[/tex]
[tex]V=72[/tex]
So, the volume of give cuboid is 72 centimetre cubed.
Therefore, the correct option is D.
Answer:
d
Step-by-step explanation:
there is 15 girls and 25 boys in a science club . what percent of the members are girls?
Answer:
Step-by-step explanation:
Total member = 25 + 15 = 40
[tex]girls percentage = \frac{15}{40}*100\\\\=\frac{15}{2}*5\\\\=\frac{75}{2}=37.5\\[/tex]
= 37.5%
1. A recursive formula for the sequence 40, 30, 22.5, ... is *
The sequence is an illustration of a geometric sequence
The recursive formula of the sequence is [tex]\mathbf{a_n = 40 \times 0.75^{n-1}}[/tex]
The sequence is given as: 40, 30, 22.5.....
So, we have:
[tex]\mathbf{a_1 = 40}[/tex]
[tex]\mathbf{a_2 = 30}[/tex]
[tex]\mathbf{a_3 = 22.5}[/tex]
Rewrite as:
[tex]\mathbf{a_1 = 40}[/tex]
[tex]\mathbf{a_2 = 40 \times 0.75}[/tex]
[tex]\mathbf{a_3 = 40 \times 0.75^2}[/tex]
Express 2 as 3 - 1
[tex]\mathbf{a_3 = 40 \times 0.75^{3-1}}[/tex]
Substitute n for 3
[tex]\mathbf{a_n = 40 \times 0.75^{n-1}}[/tex]
Hence, the recursive formula is [tex]\mathbf{a_n = 40 \times 0.75^{n-1}}[/tex]
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Which situation CANNOT be represented by this equation? 6−7=29?
1) Joel earns $7 per hour to mow his aunt’s lawn. If he spends $6 on gas, how many hours, , will he need to mow to have $29 left?
2) Joel mows his aunt's lawn for $6 per hour. If he spends $7 on gas, how many hours, , will he need to spend mowing the lawn to have $29 left?
3) Joel takes 6 hours to mow his aunt’s lawn. If he spends $7 on gas, how much does he get paid per hour, , to mow the lawn and still have $29 left?
Answer:
The answer is Joel earns $7 per hour to mow his aunt’s lawn. If he spends $6 on gas, how many hours, x, will he need to mow to have $29 left?
Step-by-step explanation:
Which equation is true for triangle QRS? StartFraction sine (100 degrees) Over 3.5 EndFraction = StartFraction sine (S) Over 2.4 EndFraction StartFraction sine (100 degrees) Over 3.5 EndFraction = StartFraction sine (Q) Over 2.4 EndFraction StartFraction sine (100 degrees) Over 2.4 EndFraction = StartFraction sine (S) Over 3.5 EndFraction StartFraction sine (100 degrees) Over 24 EndFraction = StartFraction sine (Q) Over 3.5 EndFraction
Answer:
it's a
Step-by-step explanation:
Without more information on triangle QRS, the potential true equations could be 'sin(100 degrees) / 3.5 = sin(S) / 2.4' and 'sin(100 degrees) / 2.4 = sin(Q) / 3.5' based on the law of sines.
Explanation:The question is asking which equation formed by the law of sines is true for the triangle QRS. As it is not completely clear from the given data, let's apply the law of sines in a general form for triangle QRS: sin(Q)/QR = sin(R)/RS = sin(S)/SQ. Comparing this to the provided options we could suggest that the correct equation could be: sin(100 degrees) / 3.5 = sin(S) / 2.4 and sin(100 degrees) / 2.4 = sin(Q) / 3.5. These are possibilities if we assume that the angle at Q is 100 degrees and the lengths of the sides opposite these angles are 3.5 and 2.4 respectively. However, without more specific information about triangle QRS, these conclusions are speculative.
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