Using proportions, it is found that the family will drive 482.8 km on the new route.
What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three.
In this problem, the family travels a distance of 125% of 240 miles, hence the distance is:
D = 1.25 x 240 = 300 miles.
Since there are are approximately 48.28 kilometers in 30 miles, and 300/30 = 10, the distance in kilometers is given by:
D = 48.28 x 10 = 482.8 km.
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Eric and Linda are paid 52.25 for they're work. Eric worked 3.5 hours, and Linda worked 2 hours. They split the money according to the amount of time they worked. How much is Erics share of the money?
Answer:
$33.25
Step-by-step explanation:
Taking Eric's hours as a ratio to the total hours :
3.5 : 3.5 + 23.5 : 5.53.5 x 2 = : 5.5 x 27 : 11Multiply the ratio into the amount paid :
52.25 x 7/114.75 x 7$33.25Eric's share of the money is $33.25
Answer:
$33.25
Step-by-step explanation:
The combined, total number of hours they worked is
3.5 hours + 2 hours = 5.5 hours
The total pay is $52.25
The pay rate is $52.25/(5.5 hours) = $9.50/hour
Eric worked 3.5 hours.
Pay = 3.5 hours × $9.50/hour = $33.25
Identify the function that best models the given data
Answer:
f(x) ≈ −2.42x3 + 15.89x2 − 7.55x + 12
Step-by-step explanation:
Notice that the year data are evenly spaced. Check the first differences between the total number or units to see if the data set is linear.
First Differences
41 − 18 = 23
67 − 41 = 26
82 − 67 = 15
69 − 82 = −13
17 − 69 = −52
Because the first differences are not constant, a linear model is not the best model of the data. Check the second differences to see if the data set can be modeled by a quadratic function.
Second Differences
26 − 23 = 3
15 − 26 = −11
−13 − 15 = −28
−52 − (−13) = −39
Because the second differences of the independent variable are not constant, a quadratic model is not the best model of the data. Check the third differences to see if the data set can be modeled by a cubic function.
Third Differences
−11 − 3 = −14
−28 − (−11) = −17
−39 − (−28) = −11
The third differences are approximately the same so we will use a cubic function to represent the data.
Enter the data into a calculator. Plot the data and find the cubic regression equation that best models the data.
f(x) ≈ −2.42x3 + 15.89x2 − 7.55x + 12
HELP!!!!!!!!!!!!!!!!!
Answer:
To do this I am pretty sure your going to have to do some hard calculations.
Lets go deeper
so because it is a rectangle every angle is a right angle according to the property of a rectangle.
A right angle is 90 degress
So 8x+18=90
90-18=72
8x=72
72/8=9
x=9
Feel free to do brainlest if correct
What is the arc length of ab?
Answer:
Step-by-step explanation:
[tex]\textit{arc's length}\\\\ s=\cfrac{\theta \pi r}{180} ~~ \begin{cases} r=radius\\ \theta =\stackrel{degrees}{angle}\\[-0.5em] \hrulefill\\ r=13\\ \theta =115 \end{cases}\implies \begin{array}{llll} s=\cfrac{(115)\pi (13)}{180}\implies s=\cfrac{299\pi }{36} \\\\\\ s\approx 26.09~in \end{array}[/tex]
EXPLAIN how to find surface area of a rectangular prism. Be specific and use examples.
How To Find the surface area for a normal prism
To find the surface area of a prism, use the formula SA=2B+ph, where SA stands for surface area, B stands for the area of the base of the prism, p stands for the perimeter of the base, and h stands for height of the prism.
Explanation: To find surface area of the rectangular prism.
The formula to find the surface area of a rectangular prism is A = 2wl + 2lh + 2hw, where w is the width, the l is the length, and the h is the height.
Shapes.
Right rectangular prisms or cuboids are all around us. A few examples are books, boxes, buildings, bricks, boards, doors, containers, cabinets, mobiles, and laptops. Non-examples of a right rectangular prism: This shape is a prism but its top and base do not have right angles in the shape.
HOPE THIS HELPS,
CoDBiarex
Alpha particles are accelerated in a cyclotron to a final orbit radius of 0. 50 m. The magnetic field in the cyclotron is 0. 90 t. The period of circular motion of the alpha particles is closest to
Alpha particles are accelerated in a cyclotron to a final orbit radius of 0. 50 m. The magnetic field in the cyclotron is 0. 90 t. The period of the circular motion of the alpha particles is closest to 0.11μs.
How do find the time period in a cyclotron?The period of the circular motion of the alpha particles moving along an in the presence of the magnetic field is given by;
[tex]T = \dfrac{2\pi m}{qB}[/tex]
Alpha particles are accelerated in a cyclotron to a final orbit radius of 0. 50 m. The magnetic field in the cyclotron is 0. 90 t.
We are given;
Mass; m = 6.68 × 10^(-27) kg
Magnetic field;B = 0.90 T
Charge;q = 2e
Now, e is the charge on an electron and it has a value of 1.6 × 10^(-19) C
So, q = 2 × 1.6 × 10^(-19)
q = 3.2 × 10^(-19) C
we know that,
[tex]T = \dfrac{2\pi m}{qB}[/tex]
we have;
[tex]T =\dfrac{ (2\pi \times 6.68 \times 10^{-27})}{(3.2 \times 10^{-19}\times 0.9)}\\T =11.798 \times 10^{-8} s[/tex]
This can also be written as;
T ≈ 0.11 μs
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can someone help me with this problem? thanks!
Answer:
100m^2
Step-by-step explanation:
All sides of a square are equal so 10m x 10m = 100m. The answer is 100m^2 because it is a 2D figure.
write a real-world problem that can be represented by the equation x+500=4732
Answer:
7858
Step-by-step explanation:
hope it helps you bye
HELP ME!!!! 50 POINTS!!!!!
Answer:
1. Height of the prism= h
2. area of the base= B
3. Perimeter of the base= P
Step-by-step explanation:
Here are what the letters mean:
P = perimeter of the base
h = height of the prism
B = area of the base
Hello! I need respondents for a survey that I'm doing for a math project, it will only take about 2 minutes and it only has 7 simple questions about sleep. My goal is to get 50 people to answer. Thank you! https://surveyswap.io/surveys/3f10b0ac-0fa7-44b5-8ad6-b5f98bc7e60b/take-a-survey
Answer:
It wont work for me
Step-by-step explanation:
my school computer.
From the set of the first ten natural numbers,if you pick a number at a time what is the probability of the number you pick to be:an even number
Answer:
0.5
Step-by-step explanation:
Half the natural numbers picked are going to be even numbers:
{2, 4, 6, 8, 10}. Thus the probability of the picked number being even is 5/10, or 0.5.
The region outside the circle r = 2 and inside the circle r = -4sin
The area of the region which is inside the curve r = -4 sinθ but outside r = 2 will be 4.21 square units
What is an area bounded by the curve?When the two curves intersect then they bound the region is known as the area bounded by the curve.
The region outside the circle r = 2 and inside the circle r = - 4 sinθ.
Then the intersection point will be given as
[tex]\rm 2 = -4 \sin \theta\\\\\theta = 3.66519 ,5.7595[/tex]
Then by the integration, we have
[tex]\rightarrow \dfrac{1}{2} \int _{3.6652}^{5.7595} [(-4\sin \theta)^2 - (2)^2] dx\\\\\\\rightarrow \dfrac{1}{2} \int _{3.6652}^{5.7595} [16 \sin ^2 \theta - 4]dx\\\\\\\rightarrow \dfrac{1}{2} \int _{3.6652}^{5.7595} [ 8(1- \cos 2\theta -) - 4]dx\\\\\\\rightarrow \dfrac{1}{2} \int _{3.6652}^{5.7595} [4 - \cos 2\theta] dx\\\\\\[/tex]
[tex]\rightarrow \dfrac{1}{2} \left [ 4\theta + \dfrac{1}{2} \sin 2\theta \right ]_{3.6652}^{5.7595} \\\\\\\rightarrow \dfrac{1}{2} \left [ 4(5.7595 - 3.6652) + 0.5 (0.19969-0.12759) \right ][/tex]
[tex]\rightarrow \dfrac{1}{2} \left [ 4(2.0943) + 0.5 (0.0721) \right ]\\\\\rightarrow \dfrac{1}{2} \left [ 8.41325 \right ]\\\\\rightarrow 4.2066 \approx 4.21[/tex]
Thus, the area of the region is 3.75 square units.
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Fin find the 31st term in -3, -5, -7, -9
Answer:
-63
Find common difference:
-5 -(-3)-5 + 3-2nth term:
a + (n-1)(d) [where a is first term, d is common difference]-3 + (n-1)(-2)-3 -2n + 2-2n -1So 31st term:
-2(31) -1-63A square picture is mounted on a larger rectangular sheet of poster paper leaving a border around the picture of 2 inches on the bottom and 1 inch on each remaining sides. The sheet of poster apper has an area of 42 square inches. If x represents the length of a side of the square picture, then an equation that can be used to determine the value of x is
An equation that can be used to determine the value of x is x² + 5x - 36 = 0.
To answer the question, we need to know what equations are
What is an equation?An equation is an expression which shows the relationship between two variables.
Given that the x represents the length of side of the square picture and the rectangular sheet poster leaving a border around the picture of 2 inches on the bottom and 1 inch on each remaining sides.
Then,
The width of the rectangular poster is W = x + 2 + 1 = x + 3. The length of the rectangular poster is L = x + 1 + 1 = x + 2So, the area of the rectangular sheet poster is A = LW
= (x + 2)(x + 3)
Since the rectangular sheet poster has an area of 42 square inches, A = 42 in².
So, (x + 2)(x + 3) = 42
x² + 3x + 2x + 6 = 42
x² + 5x + 6 - 42 = 0
x² + 5x - 36 = 0
So, an equation that can be used to determine the value of x is x² + 5x - 36 = 0.
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Area of perimeter of composite figures puzzle question B.
Area and perimeter of figure be: 562.08 m² and 123.68 m
What is Area and perimeter?Perimeter is the distance around the outside of a shape. Area measures the space inside a shape.
The figure comprises of a parallelogram and semicircle.
1. For Area
Area of parallelogram = base x height
= 24 x 14
= 336 m²
Area of semicircle = (π x r²)/2
= (3.14 * 12 * 12)/2
= 226.08 m²
Total Area of the figure = 336+ 226.08 =562.08 m²
2. Perimeter
Perimeter of parallelogram= 2 (a+b)
= 2 (19 +24)
= 86 m
Perimeter of semicircle= π * r
= 3.14 * 12
= 37.68 m
Total Perimeter of the figure= 86 + 37.68 = 123.68 m
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Which of the following represents the solution set to the equation: x2 + 2x + 26 = 0?
(1) 1 + 10i
(3) -2 + 2iV5
(2) 2 + iv5
(4) -1 ‡ 5i
Answer:
i think the answer is 4
Step-by-step explanation:
hope it's correct
What is the solution to:
2x - 8 < 12
a. x < 2
b. x < 8
c. x < 10
d. x < 40
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[tex]\blue\textsf{\textbf{\underline{\underline{Question:-}}}}[/tex]
What is the solution to 2x-8<12
[tex]\blue\textsf{\textbf{\underline{\underline{Answer and How to Solve:-}}}}[/tex]
First, add 8 on both sides:-
2x<12+8
2x<20
Divide by 2 on both sides:-
x<10 (Option C)
So the numbers less than 10 will make this inequality true.
Good luck.- -- - - - - - - - - - - -- - - - - - - - - - - - -- - - - - - - - - - - - - - -- - - - - -
True or False? The best answer gets brainliest.
Answer:
false, true, fale
Step-by-step explanation: hi
Solve the 3D figure Rectangle is A=BH
Triangle is A=1/2BH
Answer:
The area of the 3d figure
Step-by-step explanation:
the area of the one of triangle is 8.7
and the reactangle is 5 x 7 = 35
and the big one is 10 x 7 = 70
so 8.7 + 8.7 + 35 + 35 + 70 = 157.4
Bruce is going to call one person from his contacts at random. He has 252525 total contacts. 202020 of those contacts are from his neighborhood.
What is \text{P(call a person not from his neighborhood})P(call a person not from his neighborhood)start text, P, left parenthesis, c, a, l, l, space, a, space, p, e, r, s, o, n, space, n, o, t, space, f, r, o, m, space, h, i, s, space, n, e, i, g, h, b, o, r, h, o, o, d, end text, right parenthesis?
If necessary, round your answer to 222 decimal places.
The probability of calling a person, not from his neighborhood, is 1/5 or 0.2 if the total number of contacts is 25
What is probability?It is defined as the ratio of the number of favorable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.
Total number of contacts = 25
Total number of contacts of neighbors = 20
Total number of contacts which is not of the neighbors = 25 - 20 = 5
The probability of call a person not from his neighborhood:
P = 5/25 = 1/5
P = 0.2
Thus, the probability of calling a person, not from his neighborhood is 1/5 or 0.2 if the total number of contacts is 25
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Answer: 1/5 or 0.2
Step-by-step explanation:
………………………………………………..
Answer:
option c, 20
Step-by-step explanation:
Interquartile range is Q3 - Q1
Q3 is the upper end of the box: 35
Q1 is the lower end of the box: 15
35 - 15 = 20
Answer this please Answer
Answer:
A. 6/10
Step-by-step explanation:
Answer:
the answer is a 6
_
10
Step-by-step explanation:
Please help me on this!
Answer:
C
Step-by-step explanation:
Linear functions will be greater than exponential functions at first- however, exponential equations will gradually surpass the linear equation.
Rule 1: Add 6 starting from 0. Rule 2: Add 3 starting from 0. Complete the first 5 terms using the rules. How are the corresponding terms related? Each term in the second sequence is double the corresponding term in the first sequence. Each term in the second sequence is half the corresponding term in the first sequence. Each term in the first sequence is four times the corresponding term in the second sequence. Each term in the first sequence is half the corresponding term in the second sequence.
An ice cube tray holds 12 ice cubes. If the total volume of the ice in the
tray is 12 in3, what is the total surface area of the ice cubes?
Answer:
36
Step-by-step explanation:
12 multiplied by 3 is 36
Valerie is wrapping a box with wrapping paper the volume of the box is 476.16 cubic inches, and the length and width of the box are 4.8 inches and 8 inches respectively. How much wrapping paper is needed to cover the box?
The surface area of the rectangular box = the amount of wrapping paper needed to cover the rectangular box = 394.24 in.²
What is the Surface Area of a Rectangular Box?Surface area = 2(wl + hl + hw).
Volume = lwh.
Given the following:
Volume = 476.16 in.³
Length = 4.8 in.
Width = 8 in.
Find the height (h) using the volume formula:
476.16 = 4.8 × 8 × h
476.16 = 38.4 × h
476.16/38.4 = h
h = 12.4 in.
Surface area = 2(wl + hl + hw) = 2(8 × 4.8 + 12.4 × 4.8 + 12.4 × 8) = 394.24 in.²
The amount of wrapping paper needed to cover the rectangular box = Surface area = 394.24 in.²
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In the diagram, A||B and B||C . Find the values of X
keeping in mind that an absolute value expression is really a duet in disguise, namely there's positive and negative version of it, Check the picture below.
[tex]\pm (3x+12)~~ = ~~105 \\\\[-0.35em] ~\dotfill\\\\ +(3x+12)~~ = ~~105\implies 3x=93\implies x=\cfrac{93}{3}\implies \boxed{x=31} \\\\[-0.35em] ~\dotfill\\\\ -(3x+12)~~ = ~~105\implies 3x+12=-105\implies 3x=-117 \\\\\\ x=\cfrac{-117}{3}\implies \boxed{x=-39}[/tex]
Please Help i Don't Understand
Answer:
B is correct because it has the exact same numbers
The weights of 5 girls are 70 pounds, 68 pounds, 85 pounds, 62 pounds, and 70 pounds. Nina finds measures of center and measures of variation of this data. Match the descriptions to the type of measure.
Answer:
360 I'm sure that's is answer thank you poFind the area and perimeter of this shape.
Answer:
55
Step-by-step explanation:
since, it is a parallelogram we can find the area easily just by multiplying the base and height
A=bh
A=55m2