Now this question is a candidate for the Pythagorean Theorem :
According to the question (assuming that you're x miles away from your house) --
[tex]\implies{7}^{2} + {24}^{2} = {x}^{2} \\\implies625 = {x}^{2} \\\implies x = \sqrt{625} \\ \boxed{x = 25} [/tex]
(Rejecting x= - 25 because distance cannot be negative(atleast hypothetically))
If I gallon = 4 quarts, how many gallons are equal to 108 quarts? Explain Your Answer.
Answer:
27
Step-by-step explanation:
108 ÷ 4 = 27
proportion
if 1/x = 4/108
4x = 108
x = 108/4
x = 27
all included in the picture
Answer:
(-4,3)
Step-by-step explanation:
Answer:
Option 1 : (-4,3)
Step-by-step explanation:
When doing coordinates we always go across first the up or down.
Since it goes 4 to the left, our x coordinate is -4 and since it goes 3 up, our y coordinate is 3.
Therefore our answer must be (-4,3)
A parallelogram has an area of 10square feet.
a.Complete the table that shows the relationship between the dilated area ( ) and
the scale factor ( y).
All answers are listed below:
For A = 0 ft², the scale factor is 0.For A = 40 ft², the scale factor is 2.For A = 160 ft², the scale factor is 4.For A = 360 ft², the scale factor is 6.For A = 640 ft², the scale factor is 8.How to determine the dilated area of a parallelogram
The area of the parallelogram (A), in square feet, is equal to the product of the base (b) and the height (h), both in feet. By applying the rigid transformation of dilation on each side, we have the following formula:
A = k² · b · h (1)
Where k is the scale factor.
And we can derive a scale factor by comparing two areas:
[tex]k = \sqrt{\frac{A}{A_{o}} }[/tex] (2)
Where [tex]A_{o}[/tex] is the original area, in square feet.
If we know that [tex]A_{o} = 10\,ft^{2}[/tex], then the scales factors are shown below:
For A = 0 ft², the scale factor is 0.
For A = 40 ft², the scale factor is 2.
For A = 160 ft², the scale factor is 4.
For A = 360 ft², the scale factor is 6.
For A = 640 ft², the scale factor is 8.
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dilated area in square feet (x) scale factor (y)
0 0
40 2
160 4
340 6
640 8
Find the value of x.
x=?
please hurry I will mark brainliest if correct!
Answer: 45
Step-by-step explanation:
A right isosceles triangle can only ever have two equal sides, since he sum of the three angles of any triangle is equal to 180 degrees, do the quick math of 180 - 90 = 90, then 90/2 = 45. Both remaining angles of the triangle are 45 degrees, including x, and when you add all angles together 90 + 45 + 45 it equals 180 degrees.
An airplane flies with a constant speed
of 640 km/h. How long will it take to
travel a distance of 640 kilometers?
The time it would take to travel a distance of 640 kilometers is 1 hour
Speed, distance and timeFrom the question, we are to determine how long it would take the airplane to travel a distance of 640 kilometers.
From the give information,
The airplane flies with a constant speed of 640 km/h.
Speed = 640 km/h
Distance to be covered = 640 km
From the formula,
[tex]Speed = \frac{Distance}{Time}[/tex]
We can write that
[tex]Time= \frac{Distance}{Speed}[/tex]
∴ [tex]Time = \frac{640 \ km}{640 \ km/h}[/tex]
Time = 1 hour
Hence, the time it would take to travel a distance of 640 kilometers is 1 hour
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Find the area of the figure.
8 ft
10 ft
O a
Ob
80.0.42
105.1.12
50.3.12
25.3.12
С
8 .
d
Answer:
b because you add the 8 by 2 because 10 is too long and 8 is perfect size
A manufacturer makes decorative globes out of silver in the shape of a solid sphere. Suppose each sphere has a radius of 1.5cm. If silver is priced at $8.00 per, how much will the silver cost to make one solid sphere?
Use 3.14 for[tex]\pi[/tex] , and do not round your answer.
Volume
4/3πr³4/3π(1.5)³4/3π(3.375)4.5π14.13cm³Cost per cm³=$8
Total cost
14.13(8)$113.04Answer:
$113.04
Step-by-step explanation:
Formula
[tex]\sf \textsf{Volume of a sphere}=\dfrac43 \pi r^3 \quad \textsf{(where r is the radius)}[/tex]
[tex]\begin{aligned}\textsf{Given}: \quad \sf r & =\sf 1.5\:cm\\ \pi & = \sf 3.14 \end{aligned}[/tex]
[tex]\begin{aligned}\implies \sf \textsf{Volume of silver globe} & =\sf \dfrac43 \cdot 3.14 \cdot (1.5)^3\\\\& =\sf 14.13 \:cm^3\end{aligned}[/tex]
[tex]\textsf{Given}: \quad \sf Cost\:of\:silver=\$ 8.00\:per\:cm^3[/tex]
[tex]\begin{aligned}\implies \textsf{Cost of silver for one globe} & =\textsf{Volume of globe} \times \sf \$ 8.00\\ & =\sf 14.13 \times \sf \$ 8.00\\& =\sf \$ 113.04\end{aligned}[/tex]
Find the median, first quartile, third quartile, and interquartile range of the data.
84,75,90,87,99,91,85,88,76,92,94
median:
first quartile:
third quartile:
interquartile range:
am confused :/
Answer:
Median: 88, First Quartile: 84, Third Quartile: 92, IQR (interquartile range): 8
Step-by-step explanation:
1. Sort the numbers in numerical order (like 1, 2, 3, etc.)
2. Find the number that is in the middle
3. Find all the quartiles by finding the median of the lower and upper halves of the list
4. Subtract Q1 (quartile 1) and Q3 (quartile 3) like this: Q3 - Q1 to get IQR
Suppose a jar contains 11 dimes, 21 nickels, and 12 pennies. Barbie selects a coin and puts it back in the jar and then Darren selects a coin from the jar. Is this a set of independent or dependent events?
Answer:
This is a set of independent events.
1. Lin says that the inequalities h > 150 and h < 160 describe her height in centimeters. What do the inequalities tell us about her height? 2. Andre notices that he is a little taller than Lin but is shorter than their math teacher, who is 164 centimeters tall. Write two inequalities to describe Andre’s height. Let a be Andre’s height in centimeters. 3. Select all heights that could be Andre’s height in centimeters. If you get stuck, consider drawing a number line to help you a) 150 b) 154.5 c) 160 d) 162.5 e) 164
Answer
Lin says that the inequalities h > 150 and h < 160 describe her height in centimeters. What do the inequalities tell us about her height? Lin is greater than 160 cm. Lin is less than 150 cm.
Step-by-step explanation:
no step by step explanation
does that help??
The height for the Lin h ∈ (150, 160), and inequality for the Andre's height h < h' < 164, and Andre's height could be b) 154.5 c) 160 d) 162.5 in centimeters.
What is inequality?It is defined as the expression in mathematics in which both sides are not equal they have mathematical signs either less than or greater than, known as inequality.
1) We have inequalities h > 150 and h < 160 for Lin height.
The height of the Lin varies between 150 cm to 160 cm because:
h ∈ (150, 160)
2) Let's suppose the height of the Andre is h' and let h is the height of the Lin, then inequality becomes:
h < h' < 164
3) As the inequality for the Lin height: h > 150 and h < 160 or
h ∈ (150, 160)
And h < 164
So from the above restrictions Andre's height could be 154.5, 160, and 162.5 in centimeters.
Thus, the height for the Lin h ∈ (150, 160), and inequality for the Andre's height h < h' < 164, and Andre's height could be b) 154.5 c) 160 d) 162.5 in centimeters.
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help me pleaseeeeeeeeee
Answer:
2x - y = - 13
Step-by-step explanation:
y - 5 = 2(x + 4) ← distribute parenthesis by 2
y - 5 = 2x + 8 ( add 5 to both sides )
y = 2x + 13 ( subtract 2x from both sides )
- 2x + y = 13 ( multiply through by - 1 )
2x - y = - 13
(100 POINTS AND BRAINLIEST) Please use the answers that are given. Using the following data, calculate the mean absolute deviation
What is the mean absolute deviation for these data? DATA:
1 6 5 8 3 7 1 4 10 9
A: 9
B: 5.4
C: 5
D: 2.6
Answer:
2.42
Step-by-step explanation:
First, we need to find the mean
Add up all the number
1+6+5+8+3+7+1+4+10+9 = 54
Count up all the numbers (found in data)
10
Then, divide
54/10 = 5.4
Then find the absolute difference between each point and the mean and sum them together and divide by the number of points
((5.4-1)+(5.4-6)+(5.4-5)+(8-5.4)+(5.4-3)+(7-5.4)+(5.4-1)+(5.4-4)+(10-5.4)+(5.3-9)) ÷ 10
24.2 ÷ 10 = 2.42
2.42
Answer:
2.42
Step-by-step explanation:
Use the calculator to find the product. (9.1 × 109)(7.5 × 102) what is the exponent of the power in scientific notation?
Answer:= The exponent is 12
Step-by-step explanation:(9.1 × 10^9)(7.5 × 10^2)
When multiplying terms in scientific notation, we multiply the numbers in front and add the exponents
(a* 10^b) (c* 10^d) = ac * 10^(b+d)
(9.1 × 10^9)(7.5 × 10^2) = (9.1*7.5) * 10^(9+2)
=68.25 * 10^11
But this is not proper scientific notation. We can only have 1 number in front of the decimal. We need to move the decimal 1 place to the right. That adds 1 to the exponent.
=68.25 * 10^11 = 6.825 * 10^(11+1)
= 6.825 * 10^12
The exponent of the power in the scientific notation of the result of the expression (9.1 × 10^9)(7.5 × 10^2) is 12
How does scientific notations work?The number is written in the form [tex]a \times 10^b[/tex] where we have [tex]1 \leq a < 10[/tex]
The number b shows the order, which is the most important figure for which scientific notation is used. It tells us how much order large or small a value is in powers of 10. We can for a time, ignore the value of 'a' for two comparable quantities and only compare their orders(this type of comparison is useful when difference is too big, like size of human to size of a star etc sort of comparisons).
Scientific notations have some of the profits as:
Better readability due to compact representationIts value in terms of power of 10 is known, which helps in easy comparison of quantities differing by a large value.Expressing the multiplication of (9.1 × 10^9)(7.5 × 10^2) in terms of scientific notation, we get:
[tex](9.1 0\times 10^9)(7.5 \times 10^2) = 9100000000 \times 750 = 6825000000000\\(9.1 0\times 10^9)(7.5 \times 10^2) = 6.825 \times 10^{12}[/tex](the exponent is 12)
Thus, the exponent of the power in the scientific notation of the result of the expression (9.1 × 10^9)(7.5 × 10^2) is 12
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Find the volume of the rectangular prism below.
Answer:
The answer is 4,224
Step-by-step explanation:
hope this helpss
Factor 10a^3 b ^2 −5a^2 b+15a^2 b^3 PLS HELP IM STUCKK
[tex]10a^3b^2-5a^2b+15a^2b^3\\\\=5a^2b(2ab-1+3b^2)[/tex]
John went to his local zoo where 50% of it's exhibits featured whales. if the zoo feature 24 exhibits in total, then how many zoo's exhibits feature whales?round your answe to the nearest whole number.
Answer:
12
Step-by-step explanation:
if 50% of it's exhibits feature whales, and they have 24 exhibits, then the answer would be 12. Remember, 50% means one half, and one half of 24 is 12. There is no need to round to a whole number because 24 is not an odd number.
Help with this question please
Answer:
3y is the GCF
Step-by-step explanation:
the lowest value is -9y, so it can't be a value in the exponents
15 times a number plus 42 is greater than 7
please help!
Answer: equation would be 15x+42>7
Step-by-step explanation: first subtract 42 from 7, you would get -35, then divide -35 by 15, which gets you -2.3, meaning your answer is x>-2.3
graph the function y=x-10
Find the volume of given prism.
Answer:
345 [tex]cm^{3}[/tex]
Step-by-step explanation:
The volume of 2 rectangular boxes :
7 × 5 × 3 + 5 × 7 × 3 = 210 [tex]cm^{3}[/tex]
The volume of given prism
210 + [(10 - 7 ) × 3 × (5 × 3) ]= 345 [tex]cm^{3}[/tex]
b) In a survey among 65 people about their favourite fruits, it was found that the number of people who like mango is twice the number of people who like orange. If 10 people like both fruits and 15 do not like any of them, using Venn diagram find the number of people who like (i) Mango only, (i) Orange . ככה swer 10
Answer:
i}. Mango only (no(M))=30
ii}.Orange (n(O))= 20
El maestro de matemáticas mostró una figura cuya área está representada por la siguiente expresión x² - 5x 6 = 0. ¿Cuánto miden los lados de la figura?
Answer:
x≈5
Step-by-step explanation:
x^2-5x6=0
x^2-30=0
x^2-30+30=30+0
x^2=30
x≈5
A piece of of blue yarn is 5 3/10 yards long. A piece of pink yard is 4 times as long as the blue yard. How much longer is the pink yard than the blue yard.
- 1 10. If it takes four moving trucks to move 48
boxes, how many trucks are needed to
move 840 boxes?
Answer:
210
Step-by-step explanation:
48/4=12
840/48=17.5
12*17.5=210
210*4=840
Solve for the exponential for x
Answer:
x = 1
Step-by-step explanation:
[tex] {7}^{(4x - 6)} = \frac{1}{49} \\ \\ \implies {7}^{(4x - 6)} = \frac{1}{ {7}^{2} } \\ \\ \implies {7}^{(4x - 6)} = {7}^{ - 2} \\ \\ \implies \: 4x - 6 = - 2 \\ \\ \implies \: 4x = 6 - 2 \\ \\ \implies \: 4x = 4 \\ \\ \implies \: x = \frac{4}{4} \\ \\ \implies \: x = 1[/tex]
Answer:
x = 1
Step-by-step explanation:
Using Definition of Logarithm
7 ^(4x−6) = 1/49
Use the rules of exponents and logarithms to solve the equation.
7 ^(4x−6) = 1/49
Take the logarithm of both sides of the equation.
log(7^4x-6) = log(1/49)
The logarithm of a number raised to a power is the power times the logarithm of the number.
(4x-6)log(7) = log(1/49)
Divide both sides by log(7).
4x-6 = log(1/49)/log(7)
By the change-of-base formula log(a)/log(b) = log(small b under) (a).
4x-6 = log(small 7 under) (1/49)
Add 6 to both sides of the equation.
4x=−2−(−6)
Divide both sides by 4.
x = 4/4 which is the same as x = 1
The painting shown on the right has an area of 300 in^2. what is the value of x?
Answer: X = 10.20240940...
Step-by-step explanation:
x(2x + 9) = 2x^2 + 9x
2x^2 + 9x = 300
- 300 ON BOTH SIDES
2x^2 + 9x - 300 = 0
SOLVE USING THE QUADRATIC FORMULA
x = -b +/- all root (b)^2 - 4(a)(c) All over 2(a)
When all the values are plugged in:
When using "+" in the equation you should get:
x = 10.20240940…
When using "-" in the equation you should get:
x = −14.70240940…
Now.. you CANNOT have a negative length, so you cross of the negative value leaving you one value for x which is 10.20240940...
YOUR ANSWER IS: x = 10.20240940...
if a meatllic cylinder having volume 2464cm3 melted into a sphere then find the radius of that sphere
Answer:
Given: Volume of cone = 2464 cm3 Height of cone = 12 cm
Step-by-step explanation:
Enola owns a small business selling ice-cream. She knows
customers paid cash, 76 customers used a debit card, and 10 customers used a credit
card. .
Based on these results, express the probability that the next customer will pay with
something other than a credit card as a decimal to the nearest hundredth.
the probability that the next customer will pay with something other than a credit card as a decimal to the nearest hundredth is 0.93.
To calculate the probability that the next customer will pay with something other than a credit card, we need to know the total number of customers who paid cash or used a debit card.
The total number of customers who paid cash or used a debit card is the sum of the customers who paid cash and those who used a debit card:
Total customers who paid cash or used a debit card = customers who paid cash + customers who used a debit card = 76 + 10 = 86
Therefore, the probability that the next customer will pay with something other than a credit card is:
P = Total customers who paid cash or used a debit card / Total number of customers
P = 86 / (76 + 10 + 1) (adding 1 to account for the next customer)
P = 0.93
So the probability that the next customer will pay with something other than a credit card as a decimal to the nearest hundredth is 0.93.
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Find value of a and b.
Answer:
a = 65
b = 65
Step-by-step explanation:
a = 65 becasue of corresponding angles.
a and b are opposite angles of a parallelogram.
b = a = 65
Answer:
a=65° b=65°
Step-by-step explanation:
from the diagram,
b=65° (alternative angles are equal)
a=65° (corresponding angles are equal)
Find (f+g)(x) if f(x)=2√m and g(x)= 3√4m
Answer Options:
1. (f+g)(x)= 11√m
2. (f+g)(x)= -4√m
3. (f+g)(x)= 8√m
4. (f+g)(x)= -7√m
Answer: 3
Step-by-step explanation: