Answer:
Step-by-step explanation:
y varies with the square of x:
y = kx²
y equals 24 when x equals 10
24 = k·10²
constant of proportionality k = 0.24
when x = 20, y = 0.24·20² = 96
"select two answers" —where are the choices?
1500 to the nearest hundred
Answer:
1500.
There is no need to round here, it is already exact.
In a survey 75 people, 60% said they have more than one tv at home. How many people have more than one tv at home?
Answer:
45
Step-by-step explanation:
Take the number of people surveys and multiply by the percent that said they have more than one tv
75 *60%
75 *.60
45
Four people share a taxi to the airport the fare was $36 and they gave the driver a tip equal to 25% of the fair. If they equally share the cost of the fair tip, how How much did each person pay?
Answer:
$11.25
Step-by-step explanation:
Total money given to the taxi driver=36+25% of 36=45
Each person will pay (45/4)=11.25
The absolute value of the dilation factor is the ratio of each side length of the dilated quadrilateral to the corresponding side length of the preimage. How does the ratio of the perimeters in parts B and D compare with the ratio of corresponding side lengths
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Answer:
perimeter ratio = dilation factor
Step-by-step explanation:
In general, all linear dimensions are scaled by the dilation factor. This includes lengths of sides, perimeter, circumference, diameter, radius, or any other 1-dimensional (length) measure of a figure.
The ratio of perimeters is equal to the ratio of side lengths.
Write the equation of the line that passes through the points (0, 4) and (- 4, - 5) . Put your answer in fully reduced slope intercept form , unless it is a vertical or horizontal line
Answer:
y=9/4x+4
Step-by-step explanation:
Start by finding the slope
m=(-5-4)/(-4-0)
m=-9/-4 = 9/4
next plug the slope and the point (-4,-5) into point slope formula
y-y1=m(x-x1)
y1=-5
x1= -4
m=9/4
y- -5 = 9/4(x - -4)
y+5=9/4(x+4)
Distribute 9/4 first
y+5=9/4x + 9
subtract 5 on both sides
y=9/4x+4
A region is bounded by x=y^2 and x=4 and y=0 and revolved about the line x=5. Find the volume using shell method.
If you draw the bounded region in the x,y-plane, you'll find it to be somewhat ambiguous, but since y = 0 cuts the area between the parabola x = y ² and x = 4 perfectly in half, you can use either the top or bottom half. I'll use the top one, i.e. assume y ≥ 0.
For every x taken from the interval [0, 4], we can get a shell with height √x. The distance from x to the axis of revolution, x = 5, is 5 - x, which corresponds to the radius of the shell. The area of this shell is
2π (radius) (height) = 2π (5 - x) √x
Then the volume of the solid is the sum of infinitely many such shells made at every 0 ≤ x ≤ 4, given by the integral
[tex]\displaystyle 2\pi \int_0^4 (5-x)\sqrt x\,\mathrm dx = 2\pi \int_0^4 \left(5x^{1/2}-x^{3/2}\right)\,\mathrm dx \\\\ = 2\pi \left(\frac{10}3x^{3/2}-\frac25x^{5/2}\right)\bigg|_0^4 \\\\ = \boxed{\frac{416\pi}{15}}[/tex]
Which comparison is correct?
Answer:
C is correct
Step-by-step explanation:
10/12=0.83...
2/3=0.66...
2/3<10/12
Answer:
C
Step-by-step explanation:
Why the others are incorrect:
A: [tex]\frac{2}{10} > \frac{3*2}{5*2}[/tex] → [tex]\frac{2}{10} > \frac{ 6}{10}[/tex] This statement/comparison is false
B : [tex]\frac{2*2}{4*2} > \frac{4}{8}[/tex] → [tex]\frac{4}{8} > \frac{4}{8}[/tex] This statement/comparison is false
D:[tex]\frac{9}{12} < \frac{3*2}{6*2}[/tex] → [tex]\frac{9}{12} < \frac{6}{12}[/tex] This statement/comparison is false
Why answer C is CorrectC: [tex]\frac{2*4}{3*4} < \frac{10}{12}[/tex] → [tex]\frac{8}{12} < \frac{10}{12}[/tex] This statement/comparison is true
help me besties pls and have a good Bestie
Answer:
6
Step-by-step explanation:
Area = length x width
Input the numbers:
Area = 78
length = 13
78 = 13 x width
width = 78 / 13
width = 6
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Answer:
Width=6m
Step-by-step explanation:
Area=78m^2
Length=13m
width=?(let width be x)
[AREA OF RECTANGLE=length× width]
78=13×x
78=13x
×=6
The perimeter of the isoceles triangle is 54. The ratio of the leg to the base is 7:4. Find the length of the base
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Answer:
12 units
Step-by-step explanation:
The ratio of the base to the other sides is ...
4 : 7 : 7
The perimeter is a total of 4 +7 +7 = 18 ratio units, so each ratio units stands for 54/18 = 3 length units.
The base length is then ...
(4 ratio units)(3 length units/ratio unit) = 12 length units
Complete the following truth table. Use T for True and F for False. Attached is the photo needed to solve problem.
Answer:
If you want me to find out how you got it, please dm me.
The mass varies directly as the Kinetic energy (K) and inversely as the square of the velocity (V). if the kinetic energy is 80 Joules and the velocity is 4 meters per second, then the mass is 10 kilograms. Express the mass as a function of kinetic energy and velocity.
Answer:
m = [tex]\frac{2K}{v^2}[/tex]
Step-by-step explanation:
Given mass (m ) varies directly as K and inversely as v² then the equation relating them is
m = [tex]\frac{kK}{v^2}[/tex] ← k is the constant of variation
To find k use the condition m = 10 when K = 80 and v = 4 , then
10 = [tex]\frac{80k}{4^2}[/tex] = [tex]\frac{80k}{16}[/tex] ( multiply both sides by 16 to clear the fraction )
160 = 80k ( divide both sides by 80 )
2 = k
m = [tex]\frac{2K}{v^2}[/tex] ← equation of variation
The expression of mass as a function of kinetic energy and velocity is m = 2K/V².
What is an expression?Expressions are defined as mathematical statements that have a minimum of two terms containing variables or numbers.
We have been given that the mass varies directly as the Kinetic energy (K) and inversely as the square of the velocity (V).
m ∝ K/V²
m = cK/V²
Here c is the constant of variation,
If the kinetic energy is 80 Joules and the velocity is 4 meters per second, then the mass is 10 kilograms.
We have to determine the value of c
Here m = 10 , K = 80 and V = 4 , then
Substitute the values in m = cK/V²
10 = c(80)/4²
10 = c(80)/16
10 = 5c
c = 10/5
c = 2
Substitute the value of c = 2 in the equation of variation,
⇒ m = 2K/V²
Hence, the expression of mass as a function of kinetic energy and velocity is m = 2K/V².
Learn more about the expressions here:
brainly.com/question/13947055
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Can someone help me with this?
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Answer:
CNBD -- using the given statement regarding perpendicularityΔLAW ≅ ΔWKL by ASA -- using the markings on the figureStep-by-step explanation:
The given information tells us there is one congruent side in the two right triangles. That is not sufficient to claim congruence of the triangles.
CNBD
__
The figure shows one congruent angle in addition to one congruent side, so the figures can be shown to be congruent using the ASA theorem.
ΔLAW ≅ ΔWKL
_____
Additional comment
We don't know which answer is expected. You should discuss this question with your teacher, since it appears to be missing the statement that
∠ALW ≅ ∠KWL
Is 3.6 a real number
Malek sets out for a hike at 8.00 am and returns at 17:15.
How long was Malek hiking for?
hours and
minutes
Answer:
9 hours and 15 mins
Step-by-step explanation:
17 - 8 (time calculation)
36 inches
What is
another name for that
length?
Answer:
Centimeters? Or maybe it could be
Feet
Millimeter
twice the square of the number
Answer:
this is easy
Step-by-step explanation:
The number to find square X 2= ?
For eg. 12X2=24
Step-by-step explanation:
The answer of twice the square number
6×6=36
Help asap please!!
Find the measure of y.
A. 43
B. 53
C. 90
D. 47
Answer:
[tex]y=43[/tex]
Step-by-step explanation:
[tex]y=2(90-46)/2[/tex]
[tex]y=43[/tex]
------------------------
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30= 2w + 2h
W= 3/4 h
Answer:
h=60/7
w=45/7
Step-by-step explanation:
just try it.
2w=30-2h
2w=28h
2w÷2w=28h÷2
w=12h
evaluate the expression 3 divided by -729
Answer:
-0.00411522633
Step-by-step explanation:
The waves of a tsunami are 25 ft high, 90 miles apart, and traveling at a rate of 540 miles per hour. How long does it take for the waves to complete one period
Answer:
it will take 450 wave to complete
Is the ratio 4:1 equivalent to the ratio 12:9
Answer:
No
Step-by-step explanation:
4:1
Multiply each side by 3
4*3 : 1*3
12: 3
This is not equal to 12:9
Answer:
no
Step-by-step explanation:
12 : 9
4 : 3 ≠ 4 : 1
what is the volume of a unit cube?
Step-by-step explanation:
Volume of unit cube= (1)³ unit³= 1 unit³
Venn diagrams: unions, intersections, and complements
Attached is the photo reference
Answer:
(a) {5}
(b) {1, 2, 5, 6}
(c) {1, 2, 5, 6}
U = { z | z is an integer and − 1 ≤ z < 2 }
Answer:
(-1,0,1,2)
Step-by-step explanation:
in listing the values of z it will now be (z:z= -1,0,1,2)
Convert 0.450 to a proper fraction
Answer:
9/20
Step-by-step explanation:
450/1000
this is not the answer, because it is not simplified
so here we have to find common factor and simplifying
________________________________________________
450/1000 is simplified to 9/20, and it can no longer be simplified.
What is the size of each piece in square units?
What is the area of the shaded rectangle in square units?
Answer Asapp plezz
Answer:
8 pieces are shaded
Size of one square is (1/3)*(1/5)=1/15
The area of shaded region is basically (2/3)*(4/5)=8/15
The Size of one square is 1/15. The area of the shaded region rectangle is 8/15.
What is the area of the rectangle?The area of the rectangle is the product of the length and width of a given rectangle.
The area of the rectangle = length × Width
From the given figure we can see that 8 pieces of the square makes a shaded region.
The area of a square = side x side
[tex]= \dfrac{1}{3}\times\dfrac{1}{5}\\\\=\dfrac{1}{15}[/tex]
Therefore, the Size of one square is 1/15.
The area of the shaded region rectangle = length × Width
[tex]= \dfrac{2}{3}\times\dfrac{4}{5}\\\\=\dfrac{8}{15}[/tex]
Learn more about the area;
https://brainly.com/question/1658516
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if x and y are linear pair of angel then x +y=
Answer: x + y = 180²
Step-by-step explanation:
A linear pair is a pair of adjacent, supplementary angles.
Adjacent means next to each other.
Supplementary means that the measures of the two angles add up to equal 180 degrees.
Therefore, by definition, if x and y are linear pairs of angles, then x + y = 180.
Please help me! I don’t understand!!!!!!
Answer:
[tex]{ \sf{thats \: it}}[/tex]
Graph the line with the equation y = 5x – 2
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Answer:
see below
Step-by-step explanation:
When doing this by hand, it can work well to start at the y-intercept (0, -2) and use the slope value to find additional points on the line. The slope of 5 indicates another point will be 5 units up for each 1 unit right from (0, -2). So, another point will be (1, 3).
Draw the line through the points you found.
__
A graphing calculator does this easily.
Assume that the helium porosity (in percentage) of coal samples taken from any particular seam is normally distributed with true standard deviation 0.74. (a) Compute a 95% CI for the true average porosity of a certain seam if the average porosity for 19 specimens from the seam was 4.85. (Round your answers to
Answer:
The answer is "(4.518, 5.182)"
Step-by-step explanation:
[tex]\sigma = 0.74[/tex]
The aveage porosity for a sample of [tex]n = 19[/tex] specimens is
[tex]\bar{x}=4.85[/tex]
Thus, the[tex]95\%[/tex] confidence interval for the true mean is
[tex]=\bar{x}\pm Z_{\frac{0.05}{2}} \frac{\sigma}{\sqrt{n}}\\\\=4.85\pm 1.96 \frac{0.74}{\sqrt{19}}\\\\=4.85\pm 0.332\\\\=(4.518, 5.182)[/tex]
Therefore, one can state that the true average porosity will lie between 4.518 and 5.182 with the 95\% confidence.