Step-by-step explanation:
p^2+2p=63
p^2+2p+1^2=63+1^2
p^2+2p+1=64
(p+1)^2=64
p+1=8
p=8-1
p=7
Can someone pls help me with this
Answer:
8.5 pi
Step-by-step explanation:
C= 2 pi r
21 pi= 2pi r
r= 10.5
Arc length= 2pi r(145/360)
21 pi( 145/360)= 8.5 pi
A box contains paper clips of three different sizes. The numbers of each size of paper clip are listed below.
· 100 small paper clips.
· 250 medium paper clips.
· 150 large paper clips.
One paper clip is randomly selected from the box. What is the probability that the paper clip selected is either small of medium?
Answer:
[tex]\frac{7}{10}[/tex]
Step-by-step explanation:
Add all paper clip sizes together:
[tex]100 + 250 + 150 = 500[/tex]
They want the probability of either a small or medium being chosen, so you add both paper clips sizes together.
[tex]100 + 250 = 350[/tex]
Now put the number of small and medium paper clips together over the total number of paper clips to find the probability.
Can divide 350 and 500 by 50, which simplifies it down to 7/10.
[tex]\frac{350}{500} = \frac{7}{10}[/tex]
The probability that the paper clip selected is either small or medium is 7/10.
What is the probability that the paper clip is either small or medium?Probability determines the chances that an event would happen. The probability the event occurs is 1 and the probability that the event does not occur is 0.
The probability that the paper clip selected is either small or medium = (number of small paper clip / total number of clips) + (number of medium paper clip / total number of clips)
= 100/500 + 250 / 500 = 350 / 500 = 7/10
To learn more about probability, please check: https://brainly.com/question/13234031
has vertices
Rectangle ABCD
D(4, - 2)
A(1, 2), B(4, 2). C(1, — 2). ane
A dilation with a scale factor of 6 and centered at the origin is applied to the rectangle.
Which vertex in the dilated image has coordinates of
(24, 12)
o A
о В!
o D'
9514 1404 393
Answer:
B'(24, 12)
Step-by-step explanation:
The transformation due to dilation by a factor of 6 is ...
(x, y) ⇒ (6x, 6y)
We want to identify the original point, so we can find (x, y) using ...
(24, 12) = (6x, 6y)
(4, 2) = (x, y) . . . . . . divide by 6
The point with coordinates (4, 2) is point B, so the point with coordinates (24, 12) is B'.
A stereo speaker in the shape of a triangular pyramid has a height of 8.25 inches. The area of the base of the speaker is 22 square inches. What is the volume of the speaker in cubic inches?
A. 60.5 in3
B. 181.5 in3
C. 90.75 in3
D. 243 in3
Answer:
A. 60.5 [tex]in^{3}[/tex]
Step-by-step explanation:
A = 1/3(area of base)(h)
= 1/3(22)(8.25)
= 60.5 [tex]in^{3}[/tex]
Matthew bought 3 pounds of cheese. He sliced the cheese into 8 equal sized pieces. How much does each piece of cheese weigh A. 6 oz B 12 oz C. 24 oz D. 48 oz
Answer:
6
Step-by-step explanation:
There are 48 oz in 3 pounds, or 16 oz in a pound. Now divide the oz by the equal sizes
48/8=6
In the accompanying diagram of circle O, chords AB and CD intersect at E and
AC:CB:BD:DÀ= 4:2:6:8
What is the measure of AC, BD, and DEB?
Answer:
m(arc AC) = 72°
m(arc BD) = 108°
m∠DEB = 90°
Step-by-step explanation:
Ratio of the measure of arc AC, arc BC, arc BD and arc AD = 4 : 2 : 6 : 8
Since, m(arc AC) + m(arc CB) + m(arc BD) + m(arc AD) = 360°
By the property of ratio,
Measure of arc AC = [tex]\frac{4}{4+2+6+8}\times (360^0)[/tex]
= [tex]\frac{4\times 360}{20}[/tex]
= 72°
Measure of arc BD = [tex]\frac{6}{4+2+6+8}\times (360^0)[/tex]
= [tex]\frac{6\times 360}{20}[/tex]
= 108°
Measure of ∠DEB = [tex]\frac{1}{2}m(arcAC + arc BD)[/tex]
= [tex]\frac{1}{2}(72+108)[/tex]
= 90°
Please simplify this!
[tex]( {3}^{2}) {}^{3} [/tex]
Answer:
729
Step-by-step explanation:
We have the equation [tex](3^2)^3[/tex] and are asked to simplify it.
When you have a number with an exponent inside the parenthesis, and then another exponent right out of the parenthesis, you follow the rule where you multiply both exponents together.
Therefore,
[tex](3^2)^3=3^{2*3} =3^6[/tex]
[tex]3^6 = 729[/tex]
A quality-conscious disk manufacturer wishes to know the fraction of disks his company makes which are defective. Step 2 of 2 : Suppose a sample of 1067 floppy disks is drawn. Of these disks, 74 were defective. Using the data, construct the 80% confidence interval for the population proportion of disks which are defective. Round your answers to three decimal places.
Answer:
The 80% confidence interval for the population proportion of disks which are defective is (0.059, 0.079).
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].
Suppose a sample of 1067 floppy disks is drawn. Of these disks, 74 were defective.
This means that [tex]n = 1067, \pi = \frac{74}{1067} = 0.069[/tex]
80% confidence level
So [tex]\alpha = 0.2[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.2}{2} = 0.9[/tex], so [tex]Z = 1.28[/tex].
The lower limit of this interval is:
[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.069 - 1.28\sqrt{\frac{0.069*0.931}{1067}} = 0.059[/tex]
The upper limit of this interval is:
[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.069 + 1.28\sqrt{\frac{0.069*0.931}{1067}} = 0.079[/tex]
The 80% confidence interval for the population proportion of disks which are defective is (0.059, 0.079).
If the
mean of a, b, c and d is 8 then what
is the
mean
of
A. a+2,b+2,c+2,d+2
B. ½a,½b,½c,½d
PLEASE HELP!! 100 POINTS Will mark brainliest.
Answer:
m∠1 = mCD = 40°m∠2 = 1/2(mAB) = 1/2*30° = 15°m∠3 = 1/2(mED) = 1/2*50° = 25°m∠4 = 1/2(mAB + mDE) = 1/2(30°+50°) = 40°m∠6 = m∠OEG - m∠DEG = 90° - 1/2(mDE) = 90° - 25° = 65°m∠7 = 1/2(mCD + mDE) = 1/2(40°+50°) = 45°m∠8 = 1/2(mCD + mDE - mAB) = 1/2(40° + 50° - 30°) = 30°m∠10 = 1/2mAE = 1/2(180° - mDE) = 1/2(180° - 50°) = 65°Answer:
hope this help you. look it once.
5. How many more more vertices does a rectangular prism have than triangular pyramid?
Identify the correct statement for the given figure.
Question 14 options:
A)
(5x)° + (2x + 7)° = 90°
B)
90° + (2x + 7)° = (5x)°
C)
(5x)° + (2x + 7)° = 180°
D)
(5x)° = (2x + 7)°
Represent the greatest common factor of 36 and 8 using the distributive property
36 + 8 =
0 4x(9+2)
O2 x (18+4)
O 8x (5+2)
0 11 x (3+1)
Please help me out with this!
Answer:
73.3
Step-by-step explanation:
cos(39)= 57/x
x= 57/cos(39)
x=73.3
twice the sum of a number and 8 is equal to 3 times the difference of the number and 7 find the number
Giving brainliest!!!!!!
Answer:
The volume of the composite figure is approximately 434.041 cubic centimeters.
Step-by-step explanation:
The volume of the composite figure ([tex]V[/tex]), in cubic centimeters, is the sum of the volumes of the cuboid ([tex]V_{c}[/tex]), in cubic centimeters, and hemisphere ([tex]V_{h}[/tex]), in cubic centimeters, that is:
[tex]V = V_{c} + V_{h}[/tex] (1)
[tex]V = w\cdot h \cdot l + \frac{2\pi}{3}\cdot R^{3}[/tex] (2)
Where:
[tex]w[/tex] - Width, in centimeters.
[tex]h[/tex] - Height, in centimeters.
[tex]l[/tex] - Length, in centimeters.
[tex]R[/tex] - Radius, in centimeters.
If we know that [tex]w = 10\,cm[/tex], [tex]h = 6\,cm[/tex], [tex]l = 5\,cm[/tex] and [tex]R = 4\,cm[/tex], then the volume of the composite figure is:
[tex]V = w\cdot h \cdot l + \frac{2\pi}{3}\cdot R^{3}[/tex]
[tex]V = (10\,cm)\cdot (6\,cm)\cdot (5\,cm) + \frac{2\pi}{3}\cdot (4\,cm)^{3}[/tex]
[tex]V \approx 434.041\,cm^{3}[/tex]
The volume of the composite figure is approximately 434.041 cubic centimeters.
PLEASE GELP ME ASAP RHIS IS TIMING ME!!!!!!!!!!!!
Answer: A .10
Step to step equation :
> Less
All changes saved
12. A brand-new music service is offering specials on individual song downloads. The cost is $0.74 for each
song up to 20 songs per month, and the cost doubles to $1.48 per download for any number of downloads
over 20. How much would it cost to download 28 songs?
> Less
> Less
Answer:
Downloading 28 songs will cost $26.64.
Step-by-step explanation:
Given that a brand-new music service is offering specials on individual song downloads, and the cost is $ 0.74 for each song up to 20 songs per month, and the cost doubles to $ 1.48 per download for any number of downloads over 20, to determine how much would it cost to download 28 songs the following calculation should be performed:
(20 x 0.74) + (8 x 1.48) = X
14.8 + 11.84 = X
26.64 = X
Therefore, downloading 28 songs will cost $ 26.64.
What’s the answer please
Answer:
put one line straight across to make a square and isosceles trapezoid and then put a line to make a triangle on top of the square diagonally to make a triangle and a quadrilateral then put put a line diagonally in the square to make two triangles.
Step-by-step explanation:
done.
HELP ME ASAP WILL GIVE BRAINLIEST TO ONE THAT ANSWERS CORRECTLY
The Fundamental Counting Principles is used to add all the possible outcomes for each stage of an event.
True or False?
Answer:
True
Step-by-step explanation:
The fundamental counting principle states that if there are p ways to do one thing, and q ways to do another thing, then there are p×q ways to do both things.
Maggie wants to pack 20 cookies equally in boxes each box holds 5 cookies how many boxes does she need
Answer:
4 boxes
Step-by-step explanation:
20/5 is 4 therefore 4 boxes with 5 in each
Answer:
20/5 = 4
Step-by-step explanation:
She needs 4 boxes
Approximate, in square meters, the area of a circle with radius = 58.2 m. (Round your answer to three decimal places.)
Answer:
10,635.934 m^2
Step-by-step explanation:
The formula for area of a circle is π r² (pi ⋅ radius ⋅ radius)
According to the word problem, 58.2 is the radius.
Now that we know the radius, we have our final equation:
pi ⋅ radius ⋅ radius
(3.14 IS USED FOR PI)
3.14 ⋅ 58.2 ⋅ 58.2 = 10,635.9336
10,635.9336 rounded to the three decimal places (to the nearest thousandth): 10,635.934
Therefore, the area of this circle in square meters is 10,635.934 m^2.
what is:
k/3 + 17 = 12?
Answer:
-15
Step-by-step explanation:
yan po ang answer thank you na lang po
3(e-3)-7(2e-8) - (e-1) =0
Answer:
e = 4
Step-by-step explanation:
3 ( e - 3 ) - 7 ( 2e - 8 ) - ( e - 1 ) = 0
The first step to solving such an equation is to distribute. Multiply the term outside of the parentheis by every term inside of the parenthesis,
3e - 9 - 14e + 56 - e + 1 = 0
Simplify, combine like terms,
3e - 9 - 14e + 56 - e + 1 = 0
3e - 14e - e - 9 + 56 + 1 = 0
-12e + 48 = 0
Inverse operations,
-12e + 48 = 0
+12e +12e
48 = 12e
/12 /12
4 = e
Review the graph of f(x).
On a coordinate plane, a curve approaches y = 2 in quadrant 2 and curves down and approaches x = negative 1 in quadrant 3. Another curve approaches x = negative 1 in quadrant 2, curves down through (0, 5), and approaches y = 2 in quadrant 1.
Which statement relates limits to an asymptote of the function?
The graph shows Limit of f (x) as x approaches plus-or-minus infinity = 2 so the function has a vertical asymptote at x = 2.
The graph shows Limit of f (x) as x approaches plus-or-minus infinity = negative 1 so the function has a vertical asymptote at x = –1.
The graph shows Limit of f (x) as x approaches plus-or-minus infinity = 2 so the function has a horizontal asymptote at y = 2.
The graph shows Limit of f (x) as x approaches plus-or-minus infinity = negative 1 so the function has a horizontal asymptote at y = –1.
Answer: C
Step-by-step explanation:
A sound wave with amplitude xo is measured by an observer to have an intensity of I0 when the observer is standing 4.0 meters from the source. Which best describes the amplitude of a sound wave and distance from the source where it will be measured with an intensity of 16Io?
Answer:
C) Increase the amplitude to 2xo and stand 2 meters from the source.
Step-by-step explanation:
Correct on Edge
The surface area of a rectangular prism is 2,280 square feet. If the width and height are 20 and 15 feet, the length of the prism is 24 ft?
Answer:
The statement is trrue.
Step-by-step explanation:
Given that,
The surface area of a rectangular prism = 2,280 square feet
Width, b =20 feet
Height, h = 15 feet
The formula for the surface area of a rectangular prism is given by :
[tex]A=2(lb+bh+hl)[/tex]
Where
l is the length of the prism
Substitute all the values,
[tex]A=2(lb+bh+hl)\\\\2,280=2(20l+20\times 15+15l)\\\\1140=(20l+20\times 15+15l)\\\\1140=35l+300\\\\1140-300=35l\\\\35l=840\\\\l=24\ feet[/tex]
So, the length of the prism is equal to 24 feet.
PLZZ NO LINK IF U GET IT RIGHT I WILL GIVE U A BRIANLY
Answer:
B) f = (6 x 8) + 4
Step-by-step explanation:
Remember this: 1 cup = 8 fl oz
They're asking for the total number of fluid ounces of detergent, and we're given 6 cups and 4 fl oz.
Set up a proportion to find the total number of fl oz from the 6 cups, let variable x be the total oz of the 6 cups:
[tex]\frac{1 cup}{8 oz} = \frac{6 cups}{x oz}[/tex]
The answer should be 48 fl oz, then you add the 4 fl oz to have the total of 52 fl oz.
SORRY just wanted a full break down of the problem solved. I made it too complex than it's supposed to be. Hope my answer helps a bit. :)
HELP LOL !!!! The hypotenuse of a right triangle measures 17 inches.
One leg of the same triangle measures 5 inches.
Determine the length of the other leg.
Answer:
a is approximately 16.25, using the pythagorean theorem.
Step-by-step explanation:
a^2+ b ^2 = c^2
Answer:
wwach leg is 15 inches
Step-by-step explanation:
I hopes this helps
How long it will take 2000$ to double if it is invested at 6% interest compounded semi annually
Answer:
Number of year = 11.725 year (Approx.)
Step-by-step explanation:
Given:
Amount invested = $200
Interest rate = 6% (compounded semi annually)
Future value = 2 x Amount invested
Find:
Number of year
Commutation:
Future value = 2 x Amount invested
Future value = 2 x 200
Future value = $400
Number of year (Semi-annual) = 2n
Interest rate (Semi-annual) = 6% / 2 = 3%
So.
A = P[1+r]ⁿ
400 = 200[1+3%]²ⁿ
2 = [1.03]²ⁿ
n = 11.725 year
Number of year = 11.725 year (Approx.)