Answer:
3.3333 hours
Step-by-step explanation:
From the attached table :
Downhill skiing for 1/6 hours ; results in 100 calories burn
To burn 1000 calories :
Skiing hours required :
(1000 / 100) * (1/6)
10 * 1/6 = 10 /6 hours
Planned skiing hours = 5
Number of skiing hours after lunch will be :
5 hours - 10/6 hours
5 hours - 1.6666 hours
= 3.3333 hours
Pedro measured a swimming pool and made a scale drawing. The pool, which is 42 meters long in real life, is 119 centimeters long in the drawing. What scale did Pedro use for the drawing?
Answer:
The scale that Pedro used for the drawing is: 17:600.
Step-by-step explanation:
A scale of a drawing is expressed as: Drawing length:actual length.
Since you know that the pool is 119 centimeters long in the drawing and 42 meters long in real life, first you have to find the cm in 42 meter taking into account that 1 meter is equal to 100 cm:
1 m → 100 cm
42 m → x
x=(42*100)/1
x=4200 cm
Now, the scale would be:
119:4200
Finally, you need to simplify and you can do it by dividing each number by 7:
17:600
According to this, the answer is that the scale that Pedro used for the drawing is: 17:600.
Please answer correctly! I will mark you as Brainliest!
Answer:
1024pi/3
Step-by-step explanation:
to find the volume of a sphere you use the equation 4/3*pi*r^3
4/3*pi*8^3
4/3*pi*512
2048/3 pi
This is the volume of the whole sphere but we only need half so we can just divide by 2.
(2048/3 pi)/2
1024/3 pi
The compact disc format has been declining in popularity, and one music executive has predicted that CD sales will decrease by 20% per year. If the executive's company sold 29,000,000 CDs this year, how many will the company sell 9 years from now?
Answer: 3,892,314 CDs
Step-by-step explanation:
You can find this using the future value formula:
Future value = Amount * ( 1 + rate) ^ number of years
Amount = 29,000,000
Rate = -20% because it is decreasing
Number of years = 9
CDs sold in 9 years will therefore be:
= 29,000,000 * ( 1 - 20%) ⁹
= 3,892,314 CDs
A parabola can be drawn given a focus of (4, -8) and a directrix of y=-6
. What can be said about the parabola?
Answer:
y = 1/4 (x-4)² - 7
Step-by-step explanation:
Point (x , y) on the parabola, focus of (4, -8) and a directrix of y= -6
√(x-4)²+(y- -8)² = √(y- -6)²
(x-4)² + (y+8)² = (y+6)²
(y+8)² - (y+6)² = (x-4)²
(y²+16y+64) - (y²+12y+36) = (x-4)²
y²+16y+64-y²-12y-36 = 4y+28 = (x-4)²
4y = (x-4)² - 28
y = 1/4 (x-4)² - 7
standard formula of parabola: y = a(x-h)² + k (h,k): vertex (4,-7)
The value of equation of parabola is,
⇒ y = 1/4 (x-4)² - 7
What is Parabola?A parabola is a U-shaped plane curve where any point is at an equal distance from a fixed point (known as the focus) and from a fixed straight line, which is known as the directrix.
Now,
Let a point (x , y) on the parabola, focus of (4, -8) and a directrix of y= -6
Hence, We can formulate;
⇒ √(x-4)²+(y- (-8))² = √(y- (-6))²
⇒ (x-4)² + (y+8)² = (y+6)²
⇒ (y+8)² - (y+6)² = (x-4)²
⇒ (y²+16y+64) - (y²+12y+36) = (x-4)²
⇒ y²+16y+64-y²-12y-36 = 4y+28 = (x-4)²
⇒ 4y = (x-4)² - 28
⇒ y = 1/4 (x-4)² - 7
Thus, The value of equation of parabola is,
⇒ y = 1/4 (x-4)² - 7
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20 points
3 A quadrilateral has vertices (-4,-4), (-6, 4), (6,8), and (10, 2). What are
the coordinates of the vertices of the image after a dilation with the
origin as the center of dilation and a scale factor of 3.5? *
O (-14, -14), (-21, 14), (21, 28), and (35, 7)
(-6, -6), (-9,6), (9, 12), and (15,3)
(-10, -10), (-15, 10), (15, 20), and (25,5)
(-12, -12),(-18, 12), (18, 24), and (30, 6)
Answer:
I'll do the dilation for the first point and you will see the answer (please verify the second point)
Step-by-step explanation:
The dilation about the origin is straightforward, you just multiply the coordinates of each point by the scale factor.
so the dilated point for (-4,-4) is -4x3.5= -14 which is the same for the y coordinate.
so the dilated point for (-4,-4) is (-14, -14)
Please verify by computing the dilated point for (-6,4)
A gray crayon is made with 5mL of black wax for every 6 mL of white wax
Answer:
the answer is option B and option C
Step-by-step explanation:
the area is ___ square units
Answer:
392 square units
Step-by-step explanation:
We can make 2 right trapezoids out of this shape.
The area of a trapezoid would be 1/2×(b1+b2)×h or (b1+b2)×h ÷ 2.
If we do 1 half it would be 1/2×(14+14)×14 = 196
Now if we multiply by 2 (because we have 2 trapezoids) it would be 392.
Don’t need to show work
Answer:
44
Step-by-step explanation:
Y= -16x^2+181x+59 is the question
Answer:16x2 + 181x + 59
Step-by-step explanation:It cannot be factored
Answer:
Step-by-step explanation:
11.26 is the correct answer
50 POINTS TO ANSWER CORRECTLY AND MARKED BRAINLY
What is the IQR (interquartile range)?
Minimum value = 5
Q1=7.5
Median = 13
Q3=17
Maximum value = 23
Enter your answer in the box.
Answer:
IQR (interquartile range) = 9.5Step-by-step explanation:
Q¹ = 7.5
Q³ = 17
IQR = Q³ - Q¹
IQR = 17 - 7.5
IQR = 9.5
Do NOT guess just answer the question correctly
Jason paid $239 to join the country club on January 1, 2020. there is a monthly fee of $50. It costs an additional $5 every time he reserves a tennis court and $5 for a bucket of tennis balls. Last year he played tennis 30 times and only brought 1 bucket of balls each time. how much did he spend in 2020?
Alan made $396 for 18 hours of work. At the same rate, how much would he make for 11 hours of work?
Answer:
Step-by-step explanation:
I think it is helpful to set this up as a proportion as it is the easiest way in my opinion.
1st step: 396/18 and x/11
This is the way you set up the proportion.
2nd Step: You would have to multiply 396 and 11 then divide the value by 18.
396x11 = 4,356
4,356/18 = 242
x=242 Dollars
Answer: 242 dollars
Therefore, Alan would make 242$ while working at the same rate for 11 hours.
FR33 P0IN7$ F0R B43$
BR4INLI3$T IF Y0U TR4N$L4T3 T7IS
Answer:
fr.ee points for base brain.liest if you translate this.
Step-by-step explanation:
ok
Answer:
fr.ee points for base brain.liest if you translate this.
Step-by-step explanation:
Me smurt
The circumference of a circle is 69.08 millimeters. What is the circle's diameter? Use 3.14 for .
Answer: 22
Step-by-step explanation: Divide the total by pi or 3.14 and the diameter is 22 and the radius is 11
HELP MI PLSSS!!! I WILL GIVE POINTS AND BRAINEST!!!
Answer:
x≈5.3 feet
Step-by-step explanation:
[tex]\frac{4}{15} =\frac{x}{20}[/tex]
[tex]15x=80[/tex]
x≈5.3 feet
Answer:
5.3m tall
Step-by-step explanation:
15/4 = 3.75
20/3.75= 5.3333333
WILL MARK BRAINLIEST IF CORRECT PLEASE HELP
Answer:
[tex]\frac{4\sqrt{7}}{7} \text{ and } \frac{3\sqrt{7}}{7}[/tex]
Step-by-step explanation:
if [tex]\sec x = \frac{4}{3}[/tex], then that means that it is the angle of a right triangle with the hypotenuse equal to 4 and one of the legs (specifically the adjacent leg) equal to 3, since sec(x) is defined as hypotenuse over the adjacent side.
The other leg (specifically the opposite one) will be equal to [tex]\sqrt{16-9} = \sqrt{7}[/tex] by the pythagorean theorem, so csc(x) = hypotenuse over opposite side = [tex]\frac{4}{\sqrt{7}}=\frac{4\sqrt{7}}{7}[/tex].
cot(x) is defined as adjacent over opposite, which is equal to [tex]\frac{3}{\sqrt{7}}=\frac{3\sqrt{7}}{7}[/tex]
That means that the first option, the leftmost one, is correct.
Find the angle measure that corresponds to 20% of a circle.
Answer: 72 degrees
Step-by-step explanation:
A circle is 360 degrees. So, 20% of 360 is 72 degrees
360 x 0.20 = 72
A new roller coaster has three seats in each row. The following shows how the number of seats, y, changes as the number of rows, x, changes.
Which equation shows this relationship?
A. 3y = x
B. y = x + 3
C. y = 3x
D. y + 3 = x
PLEASE HELP I'LL GIVE YOU 15 POINTS
Answer:
C. y=3xStep-by-step explanation:
I got it correct on my assignment.
Zain bought ice cream and sherbet at the grocery store and is placing the containers in the freezer. The container of ice cream was sold in a 10” 14” 12” container, and the sherbet was sold in an 11” 18” 9” container. How much less space does the container of ice cream occupy than the container of sherbet?
Answer:
102 in^3.
Step-by-step explanation:
Volume of the ice cream container = 10*14*12 = 1680 in^3.
Volume of the sherbet container = 11*18^9 = 1782 in^3.
So the answer is 1782 - 1680
= 102 in^3.
find the GCF of 30x^3 and 12x^4
Answer:6x^3
Step-by-step explanation: That’s the biggest factor that can be taken out of both equations
Need help with this question
Answer: Well you would have to look at the options in the drop down and then find the terms and others
Step-by-step explanation:
Please help !!!!!!!!!
Answer:
/??????
Step-by-step explanation:
a weather man is found to be correct 80% of the time ( 80 out of 100 ) if he gives 375 forecasts how many of them will be correct
plz help and explain
Answer:
Step-by-step explanation:
4.)
x-4
5.)
Eucardo's collection of butterflies: 12+2x
Find the measure of the indicated arc
Answer:
m[tex]\widehat{WXY}[/tex] is 224°
Step-by-step explanation:
From the figure, we have;
The angle subtended at the circumference, by the arc mWXY, C = 112°
The angle subtended at the center = m[tex]\widehat{WXY}[/tex]
By circle theory, we have;
The angle subtended at the center = 2 × The angle subtended at the circumference
∴ m[tex]\widehat{WXY}[/tex] = 2 × 112° = 224°
m[tex]\widehat{WXY}[/tex] = 224°.
26. Find the Rate when given the Interest.
Interest: $480
Principal: $1600
Time: 6 years *
(1 Point)
5%
0.05%
20%
2.0%
What is the least common denominator for 1/6 and 3/8
Answer:
24
Step-by-step explanation:
bc if you were to find what the fractions were before they were simplified, it would be 4/24 (for 1/6) and 9/24 (for 3/8)
The least common denominator for 1/6 and 3/8 is 24.
What is the least common denominator?When two or more fractions are supplied, the least common denominator is the smallest number among all the common multiples of the denominators.
Given, two fraction numbers 1/6 and 3/8
We need to find the least common denominator of them. for that,
We will take the LCM of the denominator of both factors.
LCM of 6 and 8 = 24
Therefore, for fractions 1/6 and 3/8, 24 is the least common denominator.
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215% of what number is 43
Answer:
20
Step-by-step explanation:
215% of 20 is 43
Answer:
20
Step-by-step explanation:
2.15x = 43
43 divided by 2.15 is 20! :)
Which of the following is the graph of f(x) = 3x - 4[ + 1?
Answer:
The first answer choice I think
Step-by-step explanation:
to the right 4 units
up one
vertical compression by 3
John worked 43 hours last week; his hourly rate is $9. He has the following deductions taken from his pay: Social Security tax of $25, Medicare tax of $6, health insurance premiums of $15, and savings account contribution of $50. What is John’s net pay?