Answer:
D. [tex]y=\frac{7}{2}x[/tex]
Step-by-step explanation:
We are asked to find the equation, which represents the direct variation that contains the ordered pair (2,7).
When two quantities are proportional to each other, they are in form [tex]y=kx[/tex], where, k represents constant of variation.
Upon substituting [tex]y=7[/tex] and [tex]x=2[/tex] in above equation, we will get:
[tex]7=k\cdot 2[/tex]
Let us solve for k by dividing both sides by 2:
[tex]\frac{7}{2}=\frac{k\cdot 2}{2}[/tex]
[tex]\frac{7}{2}=k[/tex]
Therefore, our required equation would be [tex]y=\frac{7}{2}x[/tex] and option D is the correct choice.
Which expression can you use to find the slope of the line containing the points -3, 2 and 7 , -1
Use the formula y1-y2/ x1-x2. 2+1/-3-7= 3/-10
David and Tonya each cut a cylinder in half. The cross-section that results from David's cut is a rectangle. The cross-section that results from Tonya's cut is a circle.
Answer:
Tonya cut the cylinder vertically and David cut it diagonally.
David’s cut along the length of his cylinder resulted in a rectangular cross-section, while Tonya’s perpendicular cut resulted in a circular cross-section. This illustrates principles of geometric cross-sections and plane intersections with solids.
Explanation:In the problem described, David and Tonya are each cutting a cylinder, a geometric shape. The cuts they make, and the cross-sections they create, depend on the orientation of their cuts in relation to the shape of the cylinder.
When David cuts the cylinder, his cross-section result is a rectangle. This implies that he made a longitudinal cut along the length of the cylinder, essentially splitting it from top to bottom.
When Tonya cuts her cylinder, the cross-section is a circle. This means she made a cross-sectional cut perpendicular to the length of the cylinder, slicing it into two equal half cylinders.
This problem illustrates the principles of geometric cross-sections and plane intersections with solids, which are part of the broader field of study in geometry.
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If the apy of a saving account is 2.8% and if the principal in the savings account is $2600 for an entire year, what will be the balance of the savings account after all the interest is paid for the year
Answer:
[tex]\$2,672.80[/tex]
Step-by-step explanation:
we know that
The simple interest formula is equal to
[tex]A=P(1+rt)[/tex]
where
A is the Final Investment Value
P is the Principal amount of money to be invested
r is the rate of interest
t is Number of Time Periods
in this problem we have
[tex]t=1\ year\\ P=\$2,600\\r=0.028[/tex]
substitute in the formula above
[tex]A=\$2,600(1+0.028*1)=\$2,672.80[/tex]
In last year, San Diego basketball team won 32 games, and lost 8 games. What percent of the games were won?
Answer:
80%
Step-by-step explanation:
The total amount of games last year was 40.
32 + 8 = 40
question says the percent of games were won which means 32/40
In percentage, it means 80%
If the outside temperature ranges from -5 degrees c to 40 degrees c, find the range in degrees fahrenheit.
Answer: -109
Step-by-step explanation:
if you make celcius into fahrenheit,
-5 degrees becomes 23 degrees
40 degrees becomes 104 degrees
-5 + 104 = -109
Answer:
Step-by-step explanation:
(1CQ) Write the repeating decimal as a fraction .51
Answer: Your answer is 17/33! Hope this helps. If you need anymore help let me know!
For this case we must indicate the representation in the form of a fraction of the following decimal number:
0.51 periodic number
Option A:
[tex]\frac {17} {100} = 0.17[/tex]
Option B:
[tex]\frac {51} {100} = 0.51[/tex]
Option C:
[tex]\frac {17} {33} = 0.51515151[/tex]
Option D:
[tex]\frac {51} {33} = 1.5454[/tex]
So, the correct option is C
Answer:
Option C
James thought of a number and divided it by 9.
What can he do to get back his original number?
A) multiply by 9.
B) add 9.
C) divide by 9 again.
D) subtract 9.
The correct answer is A.
Example: 36 divided by 9= 4 and 4 x 9 = 36
Example: 72 divided by 9= 8 and 8 x 9 = 72
Hope this helps.
To get back the original number after dividing by 9, one should multiply the result by 9, because multiplication and division are inverse operations.
The student's question asks: James thought of a number and divided it by 9. What can he do to get back his original number? The correct answer is (A) multiply by 9. When a number is divided by 9 to undo this operation one must multiply it by 9. This is because multiplication is the inverse operation of division. Therefore, if James wants to obtain his original number back, he should take the result he got after dividing by 9 and multiply it by 9.
HELP CHECK MY ANSWERS, TY!
The graph shows the vertical position of a ball attached to a spring oscillating between a low point and a high point as a function of time.
Select all statements that describe the graph.
Answer:
That is correct
Step-by-step explanation:
When doing the math you can find that b and d are correct
Answer:
Step-by-step explanation:
Here all the statement describing the graph.
1- the cycle of the graph is 2 second.
2- mid-line of the graph is at y=0
3- amplitude is 24 i.e 12 unit + 12 unit
4- ball is traveling 24 cm in 1 sec. I.e. 12 unit in 0.5 sec and another 12 units in 0.5 sec.
Please help. I think I know the answer but I am not 100 percent sure.
Answer: 105°
Step-by-step explanation:
∠U and ∠S are supplementary angles, so
∠U + ∠S = 180°
x + 75° = 180°
x = 105°
Answer:
x = 105 degrees.
Step-by-step explanation:
RS is parallel to TU so x + 75 = 180
x = 105 degrees.
As its is isosceles y is also = 105 degrees.
On average, how long does it take for each person to throw away 100 pounds of garbage?
Answer: About 22.73 days.
Step-by-step explanation: Each person throws away about 4.4 pounds of trash daily. So the way to calculate this is to divide 100 pounds by 4.4 to find out how many days it would take for a person to throw away 10 pounds of trash.
In circle O, the measure of ∠ROW is 110°. What is the measure of arc RAW?
Answer:
250°
Step-by-step explanation:
We know that a circle has a total of 360°.
Now we know that ∠ROW is 110° and that Arc RAW has the same End points as ∠ROW.
We can safely assume that arc RAW will be the difference of ∠ROW and 360°.
So we then get:
360° - 110° = 250°
This means that Arc RAW will be 250°
HELP PLEASE!
Find the exact values of cos and sin for the angle measure. 180 degrees
Answer:
[tex]\large\boxed{\sin180^o=0\ and\ \cos180^o=-1}[/tex]
Step-by-step explanation:
[tex]\text{Use}\\sin(2\theta)=2\sin\theta\cos\theta\\\\\cos(2\theta)=\cos^2\theta-\sin^2\theta\\\\180^o=2(90^o)\\\\\sin90^o=1\\\\\cos90^o=0\\===================\\\\\sin180^o=\sin(2\cdot90^o)=2\sin90^o\cos90^o=2(1)(0)=0\\\\\cos180^o=\cos(2\cdot90^o)=\cos^290^o-\sin^290^o=0^2-1^2=-1[/tex]
Use the x-intercept method to find all real solutions of the equation.
x^3-11x^2+31x-21=0
Answer:
c. [tex]x=1,3,\:or\:7[/tex]
Step-by-step explanation:
The given equation is
[tex]x^3-11x^2+31x-21=0[/tex]
To find all real solutions using the x-intercept method, we to graph the corresponding function using a graphing tool.
The corresponding function is;
[tex]f(x)=x^3-11x^2+31x-21[/tex]
From the graph the x-intercepts are
(1,0),(3,0) and (7,0).
Therefore the real solutions are
[tex]x=1,3,\:or\:7[/tex]
Answer:
C. is the answer
Step-by-step explanation:
Victoria can make 8 necklaces in four days. How long does it take to make one necklace?
it takes her half a day to make one necklace
Answer:
1/2 day
Step-by-step explanation:
4/8=1/2
The length of the side of square a is twice the length of the side of square b. What is the ratio of the area of square a to the area of square b
➷ As you can tell, the ratio of the lengths is 2 : 1 (the length of a is twice the length of b)
The ratio for area would be the squared version of the length ratio
2^2 = 4
1^1 = 1
The ratio for area is 4 : 1
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Can you help me answer this question?
Answer:
674.2 lb
Step-by-step explanation:
(5 ft)·(8 ft)·(1.2 in)·(12 in/ft)²·(2.54 cm/in)³·(2.7 g/cm³)/(453.592 g/lb) ≈ 674.2 lb
_____
Comment on units conversion
Units conversion is easily done using conversion factors that have a value of 1. That is, the value of the numerator is equal to the value of the denominator. (12 in = 1 ft, for example). The numerator units are chosen to match units you want, while the denominator units are chosen to match units you want to cancel.
Here, we convert in³ to cm³ to lb using conversion factors given and ones we know.
What is the least common multiple (LCM) of 3 and 7?
it is 21 :)))))))))))))))
let's find the least common multiple (LCM) of 3 and 7 is 21.
List the multiples of each number.
Multiples of 3: 3, 6, 9, 12, 15, 18, 21, ...
Multiples of 7: 7, 14, 21, 28, 35, 42, ...
identify the common multiples.
The common multiples of 3 and 7 are the numbers that appear in both lists. In this case, the number 21 is the smallest positive integer that appears in both lists Determine the LCM.
the LCM of 3 and 7 is 21.
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How do you do this problem? SImple and concise answer please! PLEASE HELPPPPPPPPP
Answer:
b^(6c) = 3a is the only answer
Step-by-step explanation:
There is only one answer that works, and you put a check by it.
b is the base
When it is raised to the 6c power, you get 3a.
b^(6c) = 3a is the only answer
=========================
The only other possible answer would be
a = (1/3) b^(6c) which isn't there.
A plane veered off its course at an angle of 11 degrees. If the plane ended up 170 miles due west of its planned destination, how far did it fly? Estimate your answer to two decimal places.
Answer:
890.99
Step-by-step explanation:
170/x=sin11
In the chinese symbol for yin and yang, the dash shows two semicircles formed by the curve seperating yin(dark) and yang(light). Is the circumference of the entire yin and yang symbol, less than, greater than, or equal to the perimeter of the yin?
The perimeter of the yin is bigger than the circumference of the full yin and yang symbol. This is due to the fact that the yin and yang symbol is made up of two semicircles which extend beyond the boundaries of the separate yin and yang halves.
What is Yin and yang Symbol?The Yin and Yang symbol is a Chinese symbol that represents complementary characteristics found in all things, such as light and dark, hot and cold, good and evil, and so on. A circle is divided into two sections, one black and one white, containing a smaller circle of the opposing color in each section.
Yin is represented by the black portion, which is connected with feminine traits, passivity, darkness, or coldness. Yang is represented by the white part, which is connected with masculine attributes such as activity, brightness, and warmth. The symbol is intended to reflect the harmony and balance of both of these opposing energies.
Therefore, the perimeter of the yin is bigger than the circumference of the full yin and yang symbol.
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Final answer:
The circumference of the entire yin and yang symbol is greater than the perimeter of the yin semicircle, as the full symbol represents a complete circle while the semicircle includes only half the circumference plus its diameter.
Explanation:
The question about the Chinese symbol for yin and yang essentially asks about the relationship between the circumferences of two geometric shapes. If we consider the yin and yang symbol as a whole to be a circle, and the yang (or yin, since they are symmetrical) as a semicircle, then we can infer the following regarding circumferences and perimeters:
The circumference of a circle is 2πr, where r is the radius of the circle. The perimeter of a semicircle (half of the full circle and including the diameter) is πr + 2r. If we take the full yin and yang symbol to have a circumference of 2πr (since the full symbol is also circular), then the perimeter of the yang semicircle (which includes the straight edge boundary of the yin) would be less than the circumference of the full symbol, as it lacks the other semicircle's curved edge. In mathematical terms, πr + 2r is less than 2πr for any positive value of r.
Mr. Fox took 3,648 pieces of candy and divided it into treat bags of 14 pieces of candy each. How many treat bags was he able to make with the candy?
3 /(6x4 x7x7 x1(6 would be 11 because the power of 3x11 would be 33 leaving it to the power of 11
Which expression is equivalent to sqr 400i8j4k6
I have attached the correct answer. Brainliest will be much appreciated!
Suppose x is any positive number. Circle 1 has a center at (−2, 7) and a radius of 8x. Circle 2 has a center at (−3, 0) and a radius of 5x. Why is Circle 1 similar to Circle 2?Circle 1 and Circle 2 have the same area, and Circle 1 has a radius 0.625 times longer than Circle 2.Circle 1 is a translation of 1 unit right and 7 units up from Circle 2, and a dilation of Circle 2 with a scale factor of 1.6.Circle 1 is a translation of 1 unit right and 7 units up from Circle 2, and a dilation of Circle 2 with a scale factor of 0.625.Circle 1 and Circle 2 have the same circumference, and Circle 1 has a radius 1.6 times the length of Circle 2's radius.
Answer:
The correct answer is "Circle 1 is a translation of 1 unit right and 7 units up from Circle 2, and a dilation of Circle 2 with a scale factor of 1.6"
Step-by-step explanation:
We can tell this because first they identify the movement properly. When going from (-3, 0) to (-2, 7), we move to the right one and up 7.
Also, we know there is a scale factor of 1.6, because when we look at the radius of each circle, we can divide and find that factor.
8x/5x = 1.6
Which type of graph would be best for displaying the frequencies of ages of runners in a race, according to five-year age groups?
a bar graph
a circle graph
a histogram
a line graph
A Histogram would be best
Find the percent increase from 9.56 to 9.65
Round your answer to the nearest tenth of a percent
Can someone explain how to do this? ive tried to look online but it doesnt get the correct answer i guess.
Answer:
Step-by-step explanation:
9.65-9.56=0.09
0.09/9.56=0.009414
0.009414*100=0.94%
9.56 increased by 0.94% to 9.65
The function below has been transformed from f(x) = x2. Describe the transformation. h(x) = 4x2 + 12
Answer:
vertically expanded by a factor of 4then, translated upward 12 unitsStep-by-step explanation:
If f(x) = x² and g(x) = 4x² = 4f(x), the function g(x) represents a vertical expansion of f(x) by a factor of 4.
If h(x) = g(x) +12, the function h(x) represents a translation of g(x) by 12 units upward.
Together, these transformations on f(x) are ...
vertical expansion by a factor of 4translation upward by 12 units_____
Please be aware that there are alternate transformations that will do the same thing:
h(x) = 4(f(x) +3) . . . . is a translation upward by 3, then a vertical expansion by a factor of 4
h(x) = f(2x) +12 . . . . is horizontal compression of f(x) by a factor of 2, then a translation upward by 12.
let f(x)=x+3 and g(x)=x^2. find (gf)(5)
Answer:
[tex]g(f(5))=64[/tex]
Step-by-step explanation:
we have
[tex]f(x)=x+3[/tex]
[tex]g(x)=x^{2}[/tex]
we know that
[tex]g(f(x))=(x+3)^{2}[/tex]
so
[tex]g(f(5))=(5+3)^{2}=64[/tex]
We have 7 sandwiches. Everyone ate 1/4 sandwich for a snack. How many people had sandwiches
By dividing the 7 sandwiches into quarters, 28 quarters are available, allowing for 28 people to have 1/4 sandwich each.
The student has asked: "We have 7 sandwiches.
Everyone ate 1/4 sandwich for a snack.
To find out how many people can have sandwiches, we first need to understand how much of a sandwich each person gets.
Since each person ate 1/4 of a sandwich, we can take the total number of sandwiches (7) and divide them into quarters, giving us [tex]7 * 4 = 28[/tex] quarters of sandwiches.
Since each person eats one quarter, 28 people can have sandwiches.
Before she went on a diet, Jenna's waist measured 32.45 inches.After the diet, it measured 26.97 inches.How many inches did Jenna lose?
Answer:
5.48
Step-by-step explanation:
32.45 - 26.97 = 5.48
Answer:
Jenna lost 5,48
Step-by-step explanation:
Before the diet Jenna's waist measured 32.45 inches.
After the diet Jenna's waist measured 26.97 inches.
To get the difference between the two measures, we have to discount the new measure from the previous one.
So, difference is 26.97 inches-32.45 inches= -5,48. It is negative because she lost inches.
Please help if possible.............
Answer:
y = 16
Step-by-step explanation:
The opposite angles of a parallelogram are congruent, hence
10y - 29 = 7y + 19 ( subtract 7y from both sides )
3y - 29 = 19 ( add 29 to both sides )
3y = 48 ( divide both sides by 3 )
y = 16