A sphere with a volume of 1200 cm³ is dilated by a factor of 3/5.
The volume of the dilated image is ___ cubic centimeters.
Answer:
259.2 cm³
Step-by-step explanation:
The volume of the dilated image is
(3/5)³ × 1200= 27/125 × 1200
= 259.2 cm³
If you are just given the two points it is the same formula. Find the midpoint between the points (4,-5) and (-4,5)
mid point =((4+(-4))/2,(-5+5)/2)
=(0,0)
The midpoint between the points (4, -5) and (-4, 5) is (0, 0).
To find the midpoint between two points ([tex]x_1, y_1[/tex]) and ([tex]x_2, y_2[/tex]), you can use the midpoint formula:
Midpoint = [tex]((x_1+ x_2)/2, (y_1+ y_2)/2)[/tex]
In this case, the two points are (4, -5) and (-4, 5).
So, the midpoint using the formula:
[tex]x_1[/tex] = 4
[tex]y_1[/tex] = -5
[tex]x_2[/tex]= -4
[tex]y_2[/tex] = 5
Midpoint
= ((4 + (-4)) / 2, (-5 + 5) / 2)
= (0 / 2, 0 / 2)
= (0, 0)
Therefore, the midpoint between the points (4, -5) and (-4, 5) is (0, 0).
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Find an equation of the circle that satisfies the given conditions. (Use the variables x and y.)
Center at the origin;
passes through (4, 6)
Answer:
[tex]x^2 + y^2 = 52[/tex]
Step-by-step explanation:
Distance between two points:
Suppose that we have two points, [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]. The distance between them is given by:
[tex]D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Equation of a circle:
The equation of a circle with center [tex](x_0,y_0)[/tex] and radius r has the following format:
[tex](x - x_0)^2 + (y - y_0)^2 = r^2[/tex]
Center at the origin;
This means that [tex]x_0 = 0, y_0 = 0[/tex]
So
[tex](x - x_0)^2 + (y - y_0)^2 = r^2[/tex]
[tex](x - 0)^2 + (y - 0)^2 = r^2[/tex]
[tex]x^2 + y^2 = r^2[/tex]
Passes through (4, 6)
The radius is the distance from this point to the center. So
[tex]r = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
[tex]r = \sqrt{(4-0)^2+(6-0)^2}[/tex]
[tex]r = \sqrt{16+36}[/tex]
[tex]r = \sqrt{52}[/tex]
So
[tex]r^2 = 52[/tex]
Then
[tex]x^2 + y^2 = r^2[/tex]
[tex]x^2 + y^2 = 52[/tex]
Plz help I’ll award brainliest!!!
That is the same as writing [tex]10\sqrt{30}[/tex]
======================================================
Explanation:
The diagram shows that
AC = 60AD = 50That must mean DC = AC-AD = 60-50 = 10
We'll use this to help find BD as shown below
AD/BD = BD/DC
AD*DC = BD*BD .... cross multiply
(BD)^2 = AD*DC
BD = sqrt(AD*DC) ..... geometric mean formula
BD = sqrt(50*10)
BD = sqrt(500)
----------------------
Now apply the pythagorean theorem to find AB. Focus on triangle ABD.
(AD)^2 + (BD)^2 = (AB)^2
(AB)^2 = (AD)^2 + (BD)^2
(AB)^2 = (50)^2 + (sqrt(500))^2
(AB)^2 = 2500 + 500
(AB)^2 = 3000
AB = sqrt(3000)
AB = sqrt(100*30)
AB = sqrt(100)*sqrt(30)
AB = 10*sqrt(30)
find t =?
please help me
Answer:
−7.361097448
Step-by-step explanation:
Canterbury Cycles sells Harleys and pays each salesperson a commission of $800 for each cycle sold. During the month of December, a salesperson sold 3 cycles. The company pays commissions on the 5th day of the month following the sale. Which of the following statements is true?a. The salesperson will recognize commission revenue earned in the amount of 2400 in Decemberb. The company will recognize commission expense in the amount of $2,400 in December.c. The salesperson will recognize commission expense in the amount of $2,400 in January.d. The salesperson will recognize revenue in the same month that the cycle dealer recognizes expense.
Answer: The company will recognize commission expense in the amount of $2,400 in December
Step-by-step explanation:
Based on the information given in the question, the company will recognize commission expense in the amount of $2,400 in December.
A commission is regarded as a fee which is paid to a salesperson by a company in exchange for completing a sale.
It should be noted that in the accrual basis of accounting, commission should be recorded in the same period as when the sale generated was generated.
Answer:
b. The company will recognize commission expense in the amount of $2,400 in December.
Step-by-step explanation:
Based on the information given the statements that is true will be: THE COMPANY WILL RECOGNIZE COMMISSION EXPENSE IN THE AMOUNT OF $2,400 IN DECEMBER reason been that each salesperson were paid a commission in the amount of $800 for each cycle sold, which is 3 cycles during the month of December.
Calculation to determine the Commission Expense
Commission Expense=$800*3 cycles
Commission Expense=$2,400
Therefore The company will recognize commission expense in the amount of $2,400 in December.
Help please please please
Answer:
demographic
Step-by-step explanation:
Find the approximate surface-area-to-volume ratio of a bowling ball with a radius of 5 inches.
A 0.6
B. 0.67
C. 1.67
D. 25
Answer:
Step-by-step explanation:
225 ft2
81 ft2
Three squares are joined below at their vertices to form a right triangle. Find X, the side
length of the square marked in the diagram.
12 feet
144 feet
48 feet
17.5 feet
Answer:
12 ft
Step-by-step explanation:
we know the areas of the 2 top squares.
the area of a square is simply the square of its side length.
=>
81 ft² means side length is 9 ft.
225 ft² means side length is 15 ft.
these are also 2 of the sides of the right triangle.
the third side we get by using Pythagoras :
c² = a² + b²
with c being the side opposite of the 90 degree angle.
so,
225 = 81 + x²
as x is also the third side of the triangle.
=> 144 = x²
x = 12 ft
I’ll give brainliest
OPTION A
y= 3x+6
This equation satisfies for all the value given in the table.
For (0,6)
y = 3(0)+6 = 6
For (2,12)
y=3(2) +6 = 6+6= 12
And so on.
Two trains leave a train station at the same time. One travels north at 12 miles per hour. The other train travels south at 9 miles per hour. In
how many hours will the two trains be 88.2 miles apart?
O 4.7 hours
O 4.2 hours
O 2.1 hours
O 8.4 hours
Answer:
4.2 hours
Step-by-step explanation:
I have been stuck on this forever plz help
What is the surface area of this cylinder
Answer:
1865.16 m^2
Step-by-step explanation:
first let 's find radius of a circle
radius=diameter/2
=18/2
=9 m
area of a cylinder=2πrh+2πr2
=2*3.14*9*24 + 2*3.14*(9)^2
=1356.48 + 2*3.14*81
=1356.48 + 508.68
=1865.16 m^2
Answer:
1866.11 m²
Step-by-step explanation:
Formula = 2πrh + 2πr²
Surface area = 2 * 3.14 * 9 * 24 + 2*3.14* 81 ≈ 1866.11
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Solve for d.
d + 67 = 87
р
Submit
Answer:
[tex]d=20[/tex]
Step-by-step explanation:
[tex]d+67=87[/tex]
Subtract 67 from both sides
[tex]d=20[/tex]
Hope this is helpful
Answer:
d = 20
Step-by-step explanation:
please help with the steps
Answer:
2821.51
73425.64
28124.24
4124.24
Step-by-step explanation:
Effective rate: .058/2 = .029
This question is kind of ambigous and I'll make the assumption that there is no payment at time 0
[tex]175000=x\frac{(1+.029)^{2*18}-1}{.029}\\x=2821.511[/tex]
interested earned:
175000-2821.51*36= 73425.64
2.)
Same assumption as question 1 (there is no payment at time 0)
effective rate: .063/12= .00525
[tex]400(\frac{(1+.00525)^{60}-1}{.00525})=28124.24[/tex]
Interest earned: 28124-400*60=4124.24
Answer:
First problem: monthly payment $2741.99; interest earned $76,288.36
Second problem: amount in account $28,271.90; interest earned $4271.90
Step-by-step explanation:
First problem:
You open an account with a deposit. The deposit is the first monthly payment. This means that this is an annuity in which you pay at the beginning of the pay period. That makes it into an "annuity due."
[tex] A = \dfrac{F}{\frac{(1 + i)^n - 1}{i} \times (1 + i)} [/tex]
where A = periodic payment,
F = future value
i = interest rate per compounding period, n = number of compounding periods
[tex]A = \dfrac{175000}{\frac{(1 + \frac{0.058}{2})^{2 \times 18} - 1}{\frac{0.058}{2}} \times (1 + \frac{0.058}{2})}[/tex]
[tex] A = 2741.99 [/tex]
Interest earned:
[tex] 2 \times 18 \times 2741.99 - 175000 = 76288.36 [/tex]
Second problem:
Once again, the account starts with a deposit of the monthly payment, so this is also an annuity due, meaning the payments occur at the beginning of each compounding period. Here, we are given the monthly payment, an d we need to find the future value.
[tex] F = A \times \dfrac{(1 + i)^n - 1}{i} \times (1 + i)} [/tex]
[tex] F = 400 \times \dfrac{(1 + \frac{0.063}{12})^{5 \times 12} - 1}{\frac{0.063}{12}} \times (1 + \frac{0.063}{12})} [/tex]
[tex] F = 28271.90 [/tex]
The interest earned is:
[tex] 28271.90 - 12 \times 5 \times 400 = 4271.90 [/tex]
Which expression entered into a graphing calculator will return the probability
that 35 or fewer heads come up when flipping a coin 100 times?
A. binomcdf(35, 100, 0.5)
B. binomcdf(100, 0.5, 35)
C. binomcdf(100, 35, 0.5)
O D. binomcdf(35, 0.5, 100)
Answer:
B. binomcdf(100, 0.5, 35)
Step-by-step explanation:
Binomcdf function:
The binomcdf function has the following syntax:
binomcdf(n,p,a)
In which n is the number of trials, p is the probability of a success in a trial and a is the number of sucesses.
35 or fewer heads come up when flipping a coin 100 times.
100 coins are flipped, which means that n = 100.
Equally as likely to be heads or tails, so p = 0.5
35 or fewer heads, so a = 35.
Then
binomcdf(n,p,a) = binomcdf(100,0.5,35)
The correct answer is given by option B.
Drew hiked two trails Rocky Hill is 7 /8 miles long battle in Brook Trail is 4/5 mile long how much further did Drew hike on Rocky Hill Trail then I'll babbling Brook Trail write an equation
If you apply the changes below to the reciprocal parent function, F(x) =
what is the equation of the new function?
• Horizontally stretch by multiplying by 1/6
• Translate 5 units right.
Answer:
The answer is "Option B".
Step-by-step explanation:
Please find the complete question in the attached file.
The Horizontal stretch [tex]=(\frac{1}{6 \ x})\\\\[/tex]
Translation by 5 units right[tex]=( \frac{1}{6\ x})-5[/tex]
Answer:
its A i used his answer and got it wrong
Solve the inequality: 7x + 5 > 2. - 35 Show all work on the "Scratch pad".
y= x +2
x^2 +y^2=10
solve using any method
Hi there!
»»————- ★ ————-««
I believe your answer is:
(-3, -1) and (1, 3)
»»————- ★ ————-««
Here’s why:
I have graphed the two equations given on a graphing program.When graphed, they pass at points (-3, -1) and (1,3). Therefore, they are the solutions to the system.⸻⸻⸻⸻
See the graph attached.
⸻⸻⸻⸻
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
Answer:
[tex]{ \tt{y = x + 2 - - - (a)}} \\ { \tt{ {x}^{2} + {y}^{2} = 10 - - - (b) }} \\ substitute \: for \: y \: in \: (b) : \\ { \tt{ {x}^{2} + {(x + 2)}^{2} = 10 }} \\ { \tt{ {x}^{2} + {x}^{2} + 4x + 4 = 10 }} \\ { \tt{2 {x}^{2} + 4x - 6 = 0}} \\ { \tt{ {x}^{2} + 2x - 3 = 0 }} \\ { \boxed{ \bf{x = 1 \: and \: - 3}}} \\ in \: (a) : \\ y = x + 2 \\ { \boxed{ \bf{y = 3 \: and \: - 1}}}[/tex]
PLEASE HELP: The exact value of cos 13π/8 is: A. 0.99. B. √2- √2/4 c. √2+√2/4 D. 0.38.
The exact value of cos(13π/8) is 1/2 [tex]\sqrt{2-\sqrt{2} }[/tex].
What is trigonometric ratio?Trigonometriic ratios are the ratios of the sides of a right angled triangle. sin , cos, tan, sec, cosec, cot are some of the trigonometric ratios. Sin is the ratio of perpendicular and hypotenuse, cos is the ratio if base and hypotenuse, tan is the ratio of perpendicular and base, secant is the ratio of hypotenuse and base, cosecant is the ratio of hypotenuse and perpendicular, cot is the ratio of base and perpendicular.
How to find value?We have to find the value of cos (13π/8).
We have to use formula which is following:
cos[tex]Θ[/tex]=[tex]\sqrt{1/2(1+cos 2Θ}[/tex]
=[tex]\sqrt{1/2(1+cos(2*13 π/8)}[/tex] (π=[tex]π[/tex])
=[tex]\sqrt{1/2(1+cos(3 π+π/4)}[/tex]
=[tex]\sqrt{1/2(1-cos(π/4)}[/tex]
=[tex]\sqrt{1/2(1-1/\sqrt{2} }[/tex]
=[tex]\sqrt{\sqrt{2}-1/2\sqrt{2} }[/tex]
=1/2[tex]\sqrt{2-\sqrt{2} }[/tex]
Hence the value of cos (13π/8) is [tex]1/2\sqrt{2-\sqrt{2} }[/tex].
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What is the value of this number in decimal form?
Three hundred sixty-seven thousandths.
Step-by-step explanation:
the other answer is correct.
just for a little bit of explanation :
the first position after the decimal point is for tenths. the second position for hundredths. the third for thousandths. then ten-thousandths, hundred-thousandths, millionths, ...
so, you would need 1000 thousandths to have a 1 at the first position before the decimal point. everything less than that has to be a number after the decimal point. and thousandths have to end (writing from left to right) with the thousandths-position. hundredths with the hundredths-position and so on.
At Downunder Farms, Jamie is packing kiwi fruit in shipping crates. Each tray
holds 58 kiwis, and he can put 6 trays in a crate. How many kiwis does the
crate contain when it is full?
A. 64 kiwis
B. 290 kiwis
C. 348 kiwis
D. 174 kiwis
Answer:
348 kiwis
Step-by-step explanation:
Jamie is packing Kiwie fruits into a tray
Each tray holds 58 kiwis
He can put 6 trays in a crate
Hence when the craye is full the number of kiwis it will contain can be calculated as follows
°= 58×6
= 348 kiwis
Find the perimeter of the figure.
Answer:
A) 60
Step-by-step explanation:
P = 5+5+11+9+(5+11)+(9+5)
P = 60
Answer:
A. 60 m
Step explanation:
Perimeter for the small cube
5+5+5+5=20
Perimeter for the rectangle
9+9+11+11=40
Add 20 plus 40 to find the perimeter for the whole shape
20+40=60
Hope this helps
Pls help luv y’a thx
5. In the diagram shown below, BC is drawn tangent
to circle OA, and BD is a chord in that circle. If
mBD = 144º, what is mZCBD?
8
(1) 36
(2) 72
(3) 1440
(4) 180°
please help!!!
9514 1404 393
Answer:
(2) 72°
Step-by-step explanation:
In this geometry, the angle at the tangent is half the measure of the intercepted arc.
∠CBD = (arc BD)/2 = 144°/2
∠CBD = 72°
__
Additional comment
Consider a point X anywhere on long arc BD. The inscribed angle at X will have half the measure of short arc BD, so will be 144°/2 = 72°. This is true regardless of the position of X on long arc BD. Now, consider that X might be arbitrarily close to point B. The angle at X is still 72°.
As X approaches B, the chord XB approaches a tangent to the circle at B. Effectively, this tangent geometry is a limiting case of inscribed angle geometry.
Find area of ABC. Plz help !!!
Which graph represents the function f(x) = –x2 + 5?
Answer:
Step-by-step explanation:
The graph of f(x) = –x^2 + 5 is that of an upside-down parabola with vertex (0, 5) and x-intercepts (-√5, 0) and (+√5, 0). Plot the vertex (0, 5) and then draw a smooth curve through it and through the x-intercepts.
The function f(x) = -x2+5 is thus represented by the quadratic functions in the first graph.
what is quadratic functions ?A quadratic function has the formula f(x) = ax2 + bx + c, with a, b, and c being integers and a not equal to zero. Parabolas can have openings that are upward or downward, different "widths" or "steepnesses," but they all share the same fundamental "U" shape.
here calculation
The function provided is f(x) = -x2+5
.... (1) (1)
We must locate the function's graph.
The quadratic function's vertex form is f(x)= a(x-h)2 + k.... (2)
When we compare (1) and (2), we obtain
h=0 , k=5
It denotes that the function's vertex is (0,5).
The values list is
x y
-2 1
-1 4
0 5
1 4
2 1
Place all ordered pairings on a coordinate plane, and then use a free-hand curve to link them.
The function f(x) = -x2+5 is thus represented by the quadratic functions in the first graph.
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is it possible to make a triangle with measure of 3mm 9mm and 5mm
Answer: No
Step-by-step explanation: if you mean the measure of a is 3, the measure of b is 9 and the measure of c is 5, c being the hypotenuse then the answer is no because the the sides of a and b must be less than the measure of c. If 5 wasn’t the hypotenuse then the answer would be different.
(KEEP IN MIND THAT IF 9 IS THE HYPOTENUSE THEN THE ANSWER IS YES)
Hope this helps! :)
Identify factors that influence the significance level and power of a hypothesis test. Which of the following statements is FALSE?
a. Alpha (a) is equal to the probability of making a Type I error.
b. A smaller sample size would increase the effectiveness of a hypothesis test.
c. The probability of rejecting the null hypothesis when the null hypothesis is true is called a Type 1 Error.
d. The power of a hypothesis test is the probability of not making a Type Il error.
Answer:
b. A smaller sample size would increase the effectiveness of a hypothesis test.
Step-by-step explanation:
A hypothesis test is an important procedure in the field of statistics. It evaluates any two mutually exclusive statements about a population that determines and tells which statement made best supports to the sample data provided.
Now we know that an increase in the sample size makes the hypothesis test more effective and sensitive and it is more likely to reject the null hypothesis.
The probability of making a type I error is known as the Alpha while the probability of making type II error is called Beta.
Thus the correct option is (b).
Answer:
A smaller sample size would increase the effectiveness of a hypothesis test
Step-by-step explanation:
The quotient of 4/1/2
Answer:
the quotient is 2
Step-by-step explanation:
4/1=4
4/2=2