In this question, we're looking for the number Malcom used to scale the two numbers. We can see there's a pattern, 9 is 1/6 of 54 and 40 is 1/6 of 240!
(54 divided by 9 is 6 and 240 divided by 40 is 6!)
therefore, the scale factor must be 6
A question on a test asks students to find the speed at which a car travels. The graph shows a proportional relationship between the distance traveled in miles and time in hours. billy incorrectly says that the speed of the car is 1/68 mile per hour. What is the speed of the car? What error might have billy made?
The car travels at the speed of 68 miles per hour.
Billy made error on substitution process.
What is proportional relationship?A proportional relationship is a relationship between two expressions and where changes in one expression means some constant change in the other expression as well. Generally, it is represented as x/y = k, where x and y are two expressions and k is constant.
Given:
The graph shows a proportional relationship between the distance traveled in miles and time in hours.
That means,
distance traveled in miles/ time in hours = k,
where k is a proportional constant.
Here, k is the speed.
The incorrect speed is,
1/68 miles per hour.
k = 1/68.
From the graph,
distance = 272 miles
And the corresponding time is 4 hours.
So, the speed,
= distance / time
The speed = 272 / 4
The speed = 68 miles per hour.
Billy made the error of not substituting the right values to the formula.
Therefore, the speed of the car is 68 miles per hour.
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The complete question is given in the attached image.
What is the value of X in the triangle below?
Answer:
x=29
Step-by-step explanation:
(2x-2)+(x+5)+90= 180 (sum of angles in a triangle)
2x-2+x+5=90
3x+3=90
3x=87
x=29
Constant of Variation
State the relationship between the graphs of f(x) and g(x)
f(x) = -4/x, g(x) = 4/x
a. f and g are reflections of each other about the line y = x
b. f and g are reflections of each other about the x-axis.
c. g is shifted to the left 4 units relative to f, otherwise they are the same.
d. g is shifted to the right 4 units relative to f, otherwise they are the same.
Please select the best answer from the choices provided
Answer:
B. f and g are reflections of each other about the x-axis.
Step-by-step explanation:
I calculated it logically
A tank of water is being drained. Due to a problem, the sensor does not start working until some time into the draining process. The sensor starts its recording at time zero when there are 770 liters in the tank.
The complete table is given below.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
1)
Time after change in water expression water in tank
sensor starts
0 0 770 + (0)(-14) 770
1 -14 770 + (1)(-14) 756
5 -70 770 + (5)(-14) 700
10 -140 770 + (10)(-14) 630
2)
Time after change in water expression water in tank
sensor starts
1 -14 770 + (1)(-14) 756
0 0 770 + (0)(-14) 770
-1 14 770 + (-1)(-14) 784
-2 28 770 + (-2)(14) 798
-3 42 770 + (-3)(14) 812
-4 56 770 + (-4)(14) 826
-5 70 770 + (-5)(-14) 840
Thus,
The complete table is given above.
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The complete question is given below.
Can anyone help me please?
Answer:
x ≈ 8.5 cm
Step-by-step explanation:
Law of Sines
a/sinA = b/sinB
---------------------------
x/sin89 = 8/sin70
multiply both sides by sin89
x = 8/sin70 * sin89
Breakout the calculator
x = 8.512125544373626
x ≈ 8.5 cm
15. The center of the circle in the figure is at O. Determine the measure of ZABC.
According to the Central Angle Theorem, the central angle occupied by two points on a circle will always be twice the inscribed angle occupied by those same two points, therefore ∠ABC = 1/2 × 56 = 28°.
What is Central Angle Theorem?Since subtended and inscribed angles are mentioned in the definition, we must first understand them in order to understand the central angle theorem. An object at a specific outer position forms an angle known as a subtended angle.
If you disagree with that definition, think about this: On Earth, you are standing and gazing up at the sun. A triangle with three sides is created. The sun's height, the sun ray that travels from the bottom of the sun to your eyes, and these three directions are the three sides of the sun.
The Central Angle Theorem states that the central angle occupied by two points on a circle is always twice the inscribed angle occupied by those same two points.
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Jordan is making a wreath that uses different colors of ribbon
Answer:
Step-by-step explanation:
he needs 10 inches of each color to make the wreath
10
+ 10
+ 10
+ 10
= 40
40 inches of ribbon
Work out the circumference and area of the circular piee of glass needed for the top of a display cabinet which has a diameter of 1.8m. Use #=3.14? Circumference = in m and Area = in m2
Hello there!
Answer:
Circumference: [tex]l = 2\pi r = 2*3.14*0.9 = 5.652 (m)[/tex]
Area: [tex]S = \pi r^2 = 3.14 * 0.9^2 = 2.5434(m^2)[/tex]
Step-by-step explanation:
We should know 2 important formulas:
Circumference: [tex]l = 2\pi r[/tex]
Area: [tex]S = \pi r^{2}[/tex]
So we need to find the value of r (radius) which equal to a half of diameter:
[tex]r = d/2[/tex]
[tex]r = 1.8/2 = 0.9(m)[/tex]
Circumference: [tex]l = 2\pi r = 2*3.14*0.9 = 5.652 (m)[/tex]
Area: [tex]S = \pi r^2 = 3.14 * 0.9^2 = 2.5434(m^2)[/tex]
they are yes and no choices except the one that’s one the pic
helpppp
Therefore , the solution of he given problem of linear equation comes out to be x = 5.
A linear equation is defined.A linear equation is one that has the form y=mx+b in algebra. B is the slope, and m is the y-intercept. It's usual to refer to the previous clause as a "linear equation with two variables" because y and x are variables. The two-variable linear equations known as bivariate linear equations. There are several instances of linear equations: 2x - 3 = 0, 2y = 8, m + 1 = 0, x/2 = 3, x + y = 2, and 3x - y + z = 3. It is referred to as being linear when an equation has the form y=mx+b, where m stands for the slope and b for the y-intercept.
Here,
Given : 2x-4=6
To prove x =5
Thus,
We have to find the value of x
[tex]= > 2x =10\\= > x =10/2\\= > x =5[/tex]
Therefore , the solution of he given problem of linear equation comes out to be x = 5.
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Pls help!!!! Rewrite the expression.
4+4+5x2x5+(3+3+3)x6x6+2+2
Answer:
386
Step-by-step explanation:
4+4+5x2x5+(3+3+3)x6x6+2+2
=4+4+5x2x5+9x6x6+2+2
=4+4+50+324+2+2
=386
Round 0.295833333 to the nearest hundredth
Answer:
The answer is 0.30.
I wish you luck in your assignments.
Answer:
0.3
Step-by-step explanation:
Since 5 rounds up, that would cause the 0.09 to become a 0.1, so it would be 0.3
24.
-2
2
NO
2
y-int=
slope =
equation:
y
2
X
Answer:
y-int = 0
slope = -1
equation: y = -x
Step-by-step explanation:
The line crosses the y-axis at y = 0, so the y-intercept is 0.
Go from (0, 0) to (-1, 1).
slope = m = rise/run = 1/(-1) = -1
y = mx + b
y = -x
y-int = 0
slope = -1
equation: y = -x
please help find mDF!!
9514 1404 393
Answer:
72°
Step-by-step explanation:
The external angle E is half the difference of subtended arcs CG and DF.
E = (CG -DF)/2
2E = CG -DF . . . . . . multiply by 2
DF = CG -2E = 160° -2(44°) . . . . . add DF-2E to both sides; substitute values
arc DF = 72°
A wedding cake was cut into 30 slices. If 12 of the slices were eaten, what fraction represents the eaten portion of the cake? Reduce your answer to lowest terms.
Answer:
12/30, if you reduce then it would be 2/5 because you divided by 6 hope this helps! :D
Step-by-step explanation:
The fraction that represents the eaten portion of the cake is [tex]\frac{2}{5}[/tex]
Let the wedding cake be W.Let the eaten portion be E.Given the following data:
Total wedding cake slices = 30 slicesNumber of cake slices eaten = 12 slices.To find the fraction that represents the eaten portion of the cake;
In this exercise, you're required to find what fraction represents the eaten portion of the wedding cake.
[tex]Fraction = \frac{E}{W}[/tex]
Substituting the values into the equation, we have;
[tex]Fraction = \frac{12}{30}[/tex]
Dividing both sides by 6, we have;
[tex]Fraction = \frac{2}{5}[/tex]
Therefore, the fraction that represents the eaten portion of the cake is [tex]\frac{2}{5}[/tex]
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graph f and h , write h in terms of f, describe the transformation from the graph of f to the graph of h .
the equation :
f(x) = 2x ; h(x) = -2x
Divide or multiply the output by a constant to expand or contract the graph in the y direction.
What does f 2x do to a graph?
2f (x) is stretched by a factor of 2 in the y direction, and f (x) is contracted by a factor of 2 in the y direction (or stretched by a factor of ).
The y = f (x), y = 2f (x), and y = x graphs are shown here.
This is the difference quotient:
f (x + h) - f(x ) /h
quotient of difference
and f(x) = x3; thus, the difference quotient for this function is
(x + h)³ - x³ / h
quotient of difference.
The numerator can now be simplified by expanding (x + h)3 as (x + h)2(x + h), however I advise factoring (x + h)3 - x3 as a difference of cubes.
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Explain how to find the distance between two integers
using the difference.
х
Answer:
Find the difference between two integers by adding the additive inverse. The distance is the absolute value of the difference. Check the distance by plotting the original two integers on a number line and counting the units between them
Answer:
Find the difference between two integers by adding the additive inverse. The distance is the absolute value of the difference. Check the distance by plotting the original two integers on a number line and counting the units between them.
Step-by-step explanation:
sample answer
In a survey of 1,800 people who owned a certain type of car, 810 said they would buy that type of car again. What percent of the people surveyed said they were satisfied with the car?
Answer:
10%
Step-by-step explanation:
1,800 people represent 100 % of people
810 people represent x % of people
once you line up people and percent in columns think cross multiplication
x= 810*100/1,800 = 10 %
Solve (x – 3)2 = 49. Select the values of x. –46 -4 10 52
it's none of the above its 27.5
In terms of geometric shapes, a slice of pizza closely resembles what?
Answer:
triangle
Step-by-step explanation:
It looks like a traingle
The radius of a circle is 3 centimeters. What is the circle's circumference?
r=3 cm
Use 3.14 for a TT
At a cell phone assembly plant, 82% of the cell phone keypads pass inspection. A random sample of 101 keypads is analyzed. Find the probability that the proportion of the sample keypads that pass inspection is between 0.75 and 0.87.
The z-score for the 0.75 proportion is -1.95.
What is z-score?The Z-score calculates the deviation of the measure from the mean in standard deviations. We seek for the p-value linked with this Z-score after locating the Z-score in the z-score database.
The likelihood that the value of the measure will be less than X, or the percentile of X, is represented by this p-value. The likelihood that the value of the measure is greater than X is obtained by deducting 1 from the p-value.
In a set with mean X and standard deviation μ, the z score of a measure X is given by:
Z=(X-μ)/σ
In this problem, we have that:
n=100,p=0.82
So,μ=E(X)=np=100×0.82=82
Therefore, √V(X)=√np×(1-p)=√100×0.82×0.18=3.841
For Finding the probability that less than 75 in the sample keypads pass inspection.
Using continuity correction, this is (P(75-0.5)<=P(74.5)), which is the p-value of Z when X = 74.5.
=>z= (74.5-82)/3.841
=>z= - 7.5/3.841
=>z= - 1.95 has a p-value to 0.
Hence, if a random sample of 100 keypads is analyzed and 75 pass inspection, then the z-score for 0.75 proportion is -1.95
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What is the unit rate for 4543.08 km in 52.4 h?
The unit rate for 4543.08 km in 52.4 hours is 86.7 km.
What is a unit rate?It is the quantity of an amount of something at a rate of one of another quantity.
In 2 hours, a man can walk for 6 miles
In 1 hour, a man will walk for 3 miles.
We have,
4543.08 km = 52.4 hours
Divide 52.4 into both sides.
86.7 km = 1 hour
Thus,
The unit rate is 86.7 km.
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Sam bought 2 shirts. Deal A shirt was $20 and was on
sale for 10%. Deal B shirt was $ 22 dollars and was on sale for 16%. What was a better deal
was a better deal? hint: figure out the discount and the cost of each shirt
using the "What is..." question. Compare the cost of each shirt.
Answer:
Deal A was the better deal.
Step-by-step explanation:
20*.10= 2 dollar discount for a total of 20-2= $18 total
22*.16= 3.52 dollar discount for a total of 22-3.52 =$18.48
Even though deal B had the larger discount you will still be paying a bit more compared to deal A
You get to spin the wheel one time. What's the probability that you will
land on bankrupt?
The likelihood of the word "BANKRUPT" appearing on the Wheel of Fortune is 1/9 = 11.1%.
How many bankrupts are on the Wheel of Fortune?The ratio of the number of "1s" to all the other numbers on the spinner determines this probability. The spinner has a total of 8 numbers on it. The spinner has three ones on it. A "1" spinning is 3 out of 8 likely.
Select a direction, get a matrix, locate an eigenvector, normalize it, take its adjoint, multiply by your vector, determine the magnitude of the result, then square that. Finished, that's the likelihood.
Two Bankrupt wedges and one Lose a Turn wedge are also included on the wheel. The contestant's turn is forfeited if they land on either, and the Bankrupt wedge also gets rid of whatever money or rewards they have acquired during the round.
The likelihood of spinning "BANKRUPT" on any given spin of the Wheel of Fortune is 1/9 = 11.1%.
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Find the sum of the interior angles. please I need help!!
Given:
A 7-sides regular polygon.
To find:
The sum of the interior angles of the given regular polygon.
Solution:
The formula for the sum of the interior angles of a regular polygon is:
[tex]Sum=180^\circ(n-2)[/tex]
Where, n is the number of sides of the regular polygon.
The given regular polygon has 7 sides. Putting [tex]n=7[/tex] in the above formula, we get
[tex]Sum=180^\circ(7-2)[/tex]
[tex]Sum=180^\circ(5)[/tex]
[tex]Sum=900^\circ[/tex]
Therefore, the sum of the interior angles of the given regular polygon is 900 degrees.
Solve for x in the triangle. Round your answer to the nearest tenth.
In the right triangle in the figure the value of x is solved to be 4.5
How to find the value of xUsing SOH CAH TOA for the right triangle
Sin = opposite / hypotenuse - SOH
Cos = adjacent / hypotenuse - CAH
Tan = opposite / adjacent - TOA
The figures show that
hypotenuse = 6
adjacent = x
given angle = 41 degrees
The value of x will be calculated using cos, CAH let the angle be y
cos y = adjacent / hypotenuse
cos 41 = x / 6
x = 6 * cos 41
x = 4.528
x = 4.5
Hence the value of x is 4.5
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What's the pattern of 0, 1, 3, 7, 15, 31, 63
Answer:
a₀ = 0
aₙ = aₙ₋₁ + 2ⁿ⁻¹
Step-by-step explanation:
a₀ = 0
aₙ = aₙ₋₁ + 2ⁿ⁻¹
a₁ = a₀ + 2¹⁻¹ = 0 + 2⁰ = 1
a₂ = 1 + 2²⁻¹ = 3
a₃ = 3 + 2³⁻¹ = 7
..............
HELP ME ANSWER IS QUESTION
Answer:
A is linear
Step-by-step explanation:
check the delta y (y2 - y1) and or the delat x (x2 - x1) and see if the differences are the same from each neighboring ordered pairs
answer A has a slope (m) of (y2 - y1) / (x2 - x1) = 2/2 = 1
please please please help fast this is a BIG deal
Answer:
190.625 ft^2
Step-by-step explanation:
A = bh = (15.25) * (12.5) = 190.625 ft^2
Answer:
190
Step-by-step explanation:
All you have to do is multiply the dimensions(...that's what the formula states)
So, 15.2 × 12.5 = 190ft^2
NEVER FORGET YOUR UNIT, in this case it's ft^2(always 2/square when it's area)
You're very welcome and good luck :)
A system of equations is shown below
4x + 2y = 10
2x - 2y = 8
What is the value of x in the solution to the system?
4x - 2 (-x + 12) = 36
4x + 2x - 24 = 36
6x = 60
x= 10