Answer:
The sphere has a diameter of 32 in. CORRECT: the diameter of a sphere doubles its radio, so if the radio equals 16,the diameter measures the double, in this case, 32.The radius' lenght is one half the length of the diameter. CORRECT: , by definition, the diameter is the maximum distance between two opposite points on the surface of the sphere, and its lenght equals twice the radius because the radius is the distance between the center of the sphere and any point of the frontier of the sphere (then, one colud imagine that the distance between two opposite points in a sphere can be united by two radius, or a diameter).The volume (V) of a sphere can be calculated as [tex]\frac{4\pi r^3}{3}[/tex], where r is the radio. In this case, the volume of the sphere will be [tex]\frac{4\pi\times16^3}{3}=\frac{4\pi\times4096}{3}[/tex], which is also equal to [tex]\frac{16384\times\pi}{3}[/tex].Answer:
The True statements are:
The sphere has a diameter of 32 in.
The radius’s length is one-half the length of the diameter.
The volume of the sphere is StartFraction 16,384 Over 3 EndFraction pi inches cubed.
Step-by-step explanation:
The sphere has a diameter of 8 in. FalseThis is false because a radius is half of a diameter. Half of the given diameter of 8 in is 4 in whereas the radius in the question is 16 in.
The volume of the sphere is StartFraction 2,048 Over 3 EndFraction pi inches cubed. FalseThis is false because the volume of the sphere is 4πr³/3 = (16,384/3) π cubic inches.
The sphere has a diameter of 32 in. TrueThis is True because a radius is half of a diameter. Half of the given diameter of 32 in is 16 in and the radius in the question is also 16 in.
The radius’s length is one-half the length of the diameter. TrueThis is True because a radius is half of a diameter
The volume of the sphere is StartFraction 16,384 Over 3 EndFraction pi inches cubed. TrueThis is True because the volume of the sphere is 4πr³/3 = (16,384/3) π cubic inches.
The diameter’s length is one-half the length of the radius. FalseIt is the radius’s length that is one-half the length of the diameter
Mrs. chill has 26 yards of ribbon. She places equal amounts on 3 different spools to sell. How much ribbon in yards are on each spool
What are the steps to solve 4.321×7.89
Answer:
34.09269
Step-by-step explanation:
Step 1: write the numbers from the questions and put them as if they are whole numbers in order of decimal places, fro example 4321 *789Step 2: multiply the number 4321 by each of the numbers in 789Step 3: the answer you get from the calculation write it were it's decimal places is equal to the decimals we had in the question.....For example: we have the numbers 4.321 multiplying 7.89, so their total of decimal places is five, so the answer will get will have five decimal places Step 4: the calculated answer is 3409269, so the correct answer will we written to five decimal places which is 34.09269what does -6.5-2 equal
please show the work ITS DUE TOMMOROW!!!
Answer:
-6.5-2=-8.5
Step-by-step explanation:
no working out needed that is as simple as it gets mate
It will take
scoops of corn to feed 5 deer.
It will take
scoops of corn to feed 10 deer.
It will take
scoops of corn to feed 30 deer.
(use the table listed to help)
To determine the number of scoops of corn needed to feed different numbers of deer, we can use proportional reasoning. However, since the table mentioned in the question is missing, we can't find the exact values.
Explanation:To determine the number of scoops of corn needed to feed a certain number of deer, we can use the information given in the table. Let's analyze the information provided:
It will take ??? scoops of corn to feed 5 deer.It will take ??? scoops of corn to feed 10 deer.It will take ??? scoops of corn to feed 30 deer.Unfortunately, the table mentioned in the question is missing, so we can't use it to find the exact number of scoops needed. However, if we assume that the ratio of scoops to deer is consistent, we can use proportional reasoning to find the missing values. For example, if it takes 2 scoops to feed 5 deer, then 4 scoops will be needed to feed 10 deer.
Half of P is at least -7
Answer:
[tex]p \geqslant - 14[/tex]
Step-by-step explanation:
[tex] \frac{p}{2} \geqslant - 7 \\ p \geqslant - 14[/tex]
(a) Write 389% as a decimal.
(b) Write 0.005 as a percentage.
Answer:
a)3.89 b)0.5%
Step-by-step explanation:
389%= 389/100
0.005*100%
=0.5%
Consecutive odd integers of 201
Question :
The sum of three consecutive odd integers is 201. Find the integers.
Answer:
The Integers are 65,67,69.
Step-by-step explanation:
Let x be any number. when it is multiplied by 2 it becomes an even number.
So, 2x is an even number. Now adding an odd number to 2x , it becomes an odd number
so
First odd number be 2x+1
Second odd number be 2x+3
Third odd number be 2x+5
Now the sum of these three odd number gives 210,
That is
(2x+1) +(2x+3) +(2x+5) = 201
2x+1+2x+3+2x+5 =201
6x + 9 = 201
6x = 201- 9
6x = 192
[tex]x =\frac{192}{6}[/tex]
x = 32
Hence
The first odd number is (2x+1) = (2(32)+1) = 64+1 =65
The second odd number is (2x+3) = (2(32)+3) = 64+3 =67
The third odd number is (2x+1) = (2(32)+5) = 64+5 =69
A dvd collection had 6 comedies, 10 westerns, 14 romance, 3 horror, and 7 mysteries. what percent of the collection was comedies?
15% of the collection was comedies.
Step-by-step explanation:
Given,
Number of comedies = 6
Number of westerns = 10
Number of romance = 14
Number of horror = 3
Number of mysteries = 7
Total = 6+10+14+3+7= 40
Percent of comedies = [tex]\frac{Number\ of\ comedies}{Total\ number}*100[/tex]
Percent of comedies = [tex]\frac{6}{40}*100=\frac{600}{40}[/tex]
Percent of comedies = 15%
15% of the collection was comedies.
Keywords: percentage, addition
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somebody can help me with this problem p;lz i really really need help if you answer thius question you gonnna be the best person in the world
The length of FD = 0.76 feet.
Step-by-step explanation:
Given that in ΔDEF, the angle F measures 90° and the angle D measures 83° and EF=6.2 feet
To find the length of FD, let us use the tangent function. The tangent of an angle is the length of opposite side divided by the length of the adjacent side.
[tex]\tan \theta=\frac{o p p}{a d j}[/tex]
From the given data, θ=83°, [tex]o p p=6.2[/tex] and [tex]a d j=x[/tex]
Substituting these values in the tangent formula, we get,
[tex]\begin{array}{r}{\tan \theta=\frac{o p p}{a d j}} \\{\tan 83^{\circ}=\frac{6.2}{x}}\end{array}[/tex]
Using calculator, the value of [tex]\tan 83^{\circ}=8.14[/tex] and substituting and solving the equation, we get,
[tex]\begin{aligned}8.14 &=\frac{6.2}{x} \\x &=\frac{6.2}{8.14} \\x &=0.76\end{aligned}[/tex]
Thus, the length of FD = 0.76 feet.
Find the value (1.2) power 3
Answer:
1.728 is the correct answer
Help me please I need to know the answer to this question in under an hour :-)
Answer:
7/15
Step-by-step explanation:
You can put in your graphing calculator if you have one
Answer:
Step-by-step explanation:
The data to represent average test scores for a class of 16 students includes an outlier value of 72. If the outlier is included, then the mean is 86. Which statement is always true about the new data when the outlier is removed?
a.) The mean would increase.
b.) The mean would decrease.
c.) The median would increase.
d.) The median would decrease.
Answer:
Step-by-step explanation:
when the outlier is removed, the mean increases.....the removing of the outlier does very little to the median or mode.
example :
1,2,3,4,5
mean = 15/5 = 3......median = 3
now throw in an outlier..
1,2,3,4,5,50
mean = 65/6 = 10 5/6.....median = (3 + 4) /2 = 7/2 = 3.5
as u can see, it drastically affects the mean...and does little to the median
ur answer is A
Answer:
A
Step-by-step explanation:
James is planning on driving his car to the family reunion. The distance to the
meeting place is 892 miles. If his car gets 29 mpg, how many gallons of gas
will he need?
A. 42.7
O B. 38.9
O C. 36.1
O D. 30.8
Answer:
"D" (and any subsequent words)
Step-by-step explanation:
Answer:
its D
Step-by-step explanation:
chris sells cars and he get a salary of 6.00 per hour plus a 0.9% commission. one week he work 32 hours and sells 2 cars priced at 26,700 and 31,150.how much did he make that week
Answer:
Earnings of Chris that week = US$ 712.65
Step-by-step explanation:
1. Let's review the information given to us to answer the question correctly:
Chris' salary = US$ 6 per hour + 0.9% commission (0.009)
A week Chris worked 32 hours and sold 2 cars priced $ 26,700 and $ 31,150
2. How much did he make that week?
Earnings of Chris that week = (32 * 6) + (26,700 * 0.009) + (31,150 * 0.0009)
Earnings of Chris that week = 192 + 240.30 + 280.35
Earnings of Chris that week = US$ 712.65
Your $54200 2 year car loan is at 15.1% compounded annually. What will you have paid for your car after 2 years?
To find the total amount paid for the car after 2 years, we use the compound interest formula [tex]A = P(1 + r)^n[/tex], where P is the initial loan amount, r is the interest rate, and n is the number of years. Substitute in the given values to calculate the final amount.
Explanation:To calculate the total amount paid for the car after 2 years, we apply the formula for compound interest. The formula is[tex]A = P(1 + r)^n[/tex], where A is the final amount, P is the principal (or initial amount), r is the interest rate, and n is the number of periods. In this case, P = $54200, r = 15.1% or 0.151, and n = 2.
Plugging these values into the formula:
[tex]A = $54200 * (1 + 0.151)^2[/tex].
Once you solve the equation, you will find the total amount paid for the car after 2 years.
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Final answer:
Using the compound interest formula, you will have paid $71,787.31 for a $54,200 car loan at 15.1% interest compounded annually after 2 years.
Explanation:
To calculate the total amount paid for a car after 2 years on a loan of $54,200 with an interest rate of 15.1% compounded annually, we'll use the formula for compound interest:
[tex]A = P (1 + r/n)^{(nt)}[/tex]
Where:
A is the amount of money accumulated after n years, including interest.P is the principal amount (the initial amount of money)r is the annual interest rate (decimal)n is the number of times that interest is compounded per yeart is the time in yearsFor this car loan:
P = $54,200r = 15.1% = 0.151n = 1 (since interest is compounded annually)t = 2 yearsSubstitute the values into the formula:
A = $54,200 (1 + 0.151/1)^(1*2)
A = $54,200 (1 + 0.151)^2
A = $54,200 (1.151)^2
Calculate the amount:
A = $54,200 * (1.151)^2
A = $54,200 * 1.324301
A = $71,787.31
After 2 years, you will have paid $71,787.31 for your car.
If the cube shown is 8 centimeters on all sides, what is the length of the diagonal, x, of the cube? (rounded to the nearest tenth)
Answer: 13.8 cm
Step-by-step explanation:
Assuming the cube is the cube shown in the attached image, its diagonal is [tex]x[/tex].
Now, for a cube which each side is [tex]a[/tex], its diagonal is given by the pithagorean theorem:
[tex]x=\sqrt{a^{2}+d^{2}}[/tex] (1)
Where [tex]d[/tex] is the hypothenuse of the right triangle formed in one of the cube's faces:
[tex]d=\sqrt{3}a[/tex] (2)
Then the formula for the diagonal is:
[tex]x=\sqrt{a^{2}+(\sqrt{3}a)^{2}}[/tex] (3)
[tex]x=\sqrt{3}a[/tex] (4)
If [tex]a=8 cm[/tex]:
[tex]x=\sqrt{3}8 cm[/tex] (5)
Finally:
x=13.8 cm
Can someone please help with this.
The points that represent the relationship are (2,4), (5,7), (7,9).
Step-by-step explanation:
1. It is given that Brent was always 2 meters in front of Joel.
2. In the first case, when Joel is at 2 meters, Brent will be 2 meters in front of that, i.e. at 2 meters + 2 meters = 4 meters. Hence, when Joel is at 2 meters distance from the school, Brent will be at 4 meters distance from the school. Hence, the point on the coordinate grid is (2,4) here.
3. Similarly, in the second case, when Joel is at 5 meters, Brent will be 2 meters in front of that, i.e. at 5 meters + 2 meters = 7 meters. Hence, the point on the coordinate grid is (5,7) here.
4. Similarly, in the third case, when Joel is at 7 meters, Brent will be 2 meters in front of that, i.e. at 7 meters + 2 meters = 9 meters. Hence, the point on the coordinate grid is (7,9) here.
What is the width to the length?
Answer:
[tex]\frac{19}{44}[/tex]
Step-by-step explanation:
The ratio of width : length = [tex]\frac{57}{132}[/tex]
To simplify divide ( cancel ) the numerator/ denominator by 3
= [tex]\frac{19}{44}[/tex] ← in simplest form
What is 1 1/6 * 2/5 in a fraction
First, turn both fractions into improper fractions.
1 1/6 = 7/6
2/5 = 2/5
Second, multiply.
7/6 * 2/5 → 7*2/6*5 → 14/30
Third, Simplify.
14/30 → 7/15
Best of Luck!
Answer:
Make mixed number into an improper fraction.
Then multiply
14/30
= 7/15
Nine ones equals what
Answer:
Nine ones = one hundred and eleven million one hundred and eleven thousand and one one hundred and eleven.
Step-by-step explanation:
i) nine ones equals = 111,111,111 which is one hundred and eleven million one hundred and eleven thousand and one one hundred and eleven.
A rectangle that is 8 centimeters long has an area of 100 square centimeters. A similar rectangle has an area of 16 square centimeters. What is the width of the smaller rectangle
Answer:
The width of the smaller rectangle is 5 centimeters
Step-by-step explanation:
step 1
Find the scale factor
we know that
If two figures are similar, then the ratio of its areas is equal to the scale factor squared
Let
z ----> the scale factor
x ----> the area of the smaller rectangle
y ----> the area of the larger rectangle
[tex]z^{2}=\frac{x}{y}[/tex]
we have
[tex]x=16\ cm^2\\y=100\ cm^2[/tex]
substitute
[tex]z^{2}=\frac{16}{100}[/tex]
square root both sides
[tex]z=\frac{4}{10}[/tex]
step 2
Find the width of the larger rectangle
we know that the area is equal to
[tex]A=LW[/tex]
we have
[tex]A=100\ cm^2\\L=8\ cm[/tex]
substitute
[tex]100=8W\\W=12.5\ cm[/tex]
step 3
Find the width of the smaller rectangle
To find out the width of the smaller rectangle, multiply the width of the larger rectangle by the scale factor
so
[tex]12.5(\frac{4}{10})=5\ cm[/tex]
You read 9.75 pages in your science book and 24.5 pages of a play for English class. It takes you 1.2 minutes to read each page of science and 0.8 of a minute to read each page of the play. How much time do you spend reading?
CLEAR
The time spent for reading is 31.3 minutes
Solution:
You read 9.75 pages in your science book and 24.5 pages of a play for English class
Therefore,
Number of pages read in science = 9.75
Number of pages read in play = 24.5
Also given that,
Time taken to read each page of science = 1.2 minutes
Time taken to read each page of play = 0.8 minute
To find: Time spent for reading
Time spent for reading = Number of pages read in science x Time taken to read each page of science + Number of pages read in play x Time taken to read each page of play
[tex]Time\ spent\ for\ reading = (9.75 \times 1.2) + (24.5 \times 0.8)\\\\Time\ spent\ for\ reading = 11.7 + 19.6\\\\Time\ spent\ for\ reading = 31.3[/tex]
Thus time spent for reading is 31.3 minutes
Which equation represents a line that passes through (-2, 4) and has a slope of 2/5
Oy-4 = (x + 2)
Oy+4 = }} (x-2)
O y+2 = {(x-4)
Oy-2=}} (x +4)
The equation that represents a line passing through (-2, 4) and has a slope of 2/5 is Oy+4 = (x-2).
Explanation:The equation that represents a line passing through (-2, 4) and has a slope of 2/5 is option B:
Oy+4 = (x-2)
To understand why this equation represents the line, we can use the slope-intercept form, y = mx + b, where 'm' is the slope and 'b' is the y-intercept. The given slope is 2/5, so the equation becomes y = (2/5)x + b. Plugging in the coordinates of the point (-2, 4), we can solve for 'b' and find that it is 4. Therefore, the equation representing the line is y = (2/5)x + 4.
Rachel has a rope that is 5 meters long . She cuts away a piece that is 1.32 meters long . How long is the remaining piece
What is six times the difference of a number is 9 and 18
Answer: 6 x (18-9) = 54
Step-by-step explanation: 18-9 is 9 and 6 times 9 is 54
5)
Adam owns a dog walking business. The net profit, p, for one day is given by the equation p = 15d - 20, where d is the number
of dogs walked in one day. What does the number 20 most likely represent?
A)
The amount, in dollars, of one day of operating cost for Adam.
The amount, in dollars, that Adam is paid to walk one dog.
C)
The average number of dogs walked by Adam per day.
D)
The total number of dogs walked by Adam per day.
Answer:
A
Step-by-step explanation:
It would be A because it’s a negative 20, meaning he’s losing money while 15d represents how many dogs he’s walking and the cost of it.
which of the following graphs represents a quadratic function f(x)=(x-3)^2+5
Answer:
The graph in the attached figure
Step-by-step explanation:
we have
[tex]f(x)=(x-3)^2+5[/tex]
This is a vertical parabola open upward (the leading coefficient is positive)
The vertex represent a minimum
The vertex is the point (3,5)
The equation of the axis of symmetry of a vertical parabola is equal to the x-coordinate of the vertex
so
[tex]x=3[/tex] ---> axis of symmetry
Find the y-intercept (value of f(x) when the value of x is equal to zero)
For x=0
[tex]f(x)=(0-3)^2+5=14[/tex]
The y-intercept is the point (0,14)
Find the x-intercept (values of x when the value of f(x) is equal to zero)
For y=0
[tex]0=(x-3)^2+5[/tex]
[tex](x-3)^2=-5[/tex] ---> has no real solutions
The function has no x-intercepts (The roots of the quadratic equation are complex numbers)
therefore
The graph in the attached figure
please help me with these
(a) The volume of the swimming pool is 330 m³
(b) The surface area of the model swimming pool is 30.25 cm².
How to calculate the volume of the swimming pool?(a) The volume of the swimming pool is calculated by applying the following formula as follows;
V = Ah
where;
A is the surface areah is the depth of the poolV = 300 m² x 1.1 m
V = 330 m³
(b) The surface area of the model swimming pool is calculated by applying the following formula;
Assuming the model swimming pool is a square.
S.A = L²
S.A = 5.5 cm x 5.5 cm
S.A = 30.25 cm²
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A sweatshirt is on sale for Black Friday and is 60% off of its it's original price of 60$. How much is the sweatshirt?
Answer:
$36
Step-by-step explanation:
Plz give me brainliest as i just need 3 more plz plz plz
To calculate the sale price of the sweatshirt, multiply the original price by the discount rate to get the discount amount and subtract from the original price. The sweatshirt is now priced at $24.
Explanation:We can find the amount discounted by multiplying the original price of the sweatshirt by the discount rate. So, we calculate 60% of $60. First distinguish that 60% is the same as 0.60 in decimal form. Therefore, we multiply $60 by 0.60 (60%) to get $36. This is the amount that is discounted from the original price. To find the new price after discount, subtract this amount from the original price. So, $60 - $36 equals $24. Therefore, the sweatshirt on sale is now priced at $24.
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PLEASE! HELP ASAP! Which does not explain the effect of the author's use of dialogue?
A. It helps the reader understand what characters are thinking in the story.
B. It helps the reader understand the speaker's feelings.
C. It helps the reader understand the speaker's thoughts.
Or D. It helps the reader make guesses about what the speaker thinks.
Answer: D?
Step-by-step explanation: