Answer: m = p/5 - 10
Step-by-step explanation:
Divide both sides by 5
P/5 = m + 10
Subtract 10 from both sides.
P/5 - 10 = m
Switch sides.
m = p/5 - 10
Sal washed 5 cars in 50 minutes. Find the unit rate.
Answer: ten minutes per car
Step-by-step explanation:
50 divided by 5 is ten
The unit rate would be the time to do one car.
Divide total time by total cars:
50 minutes / 5 cars = 10 minutes per car.
√38 I’m not sure how to solve these kinds of equations
Answer:
√38
Step-by-step explanation:
√38
step 1: Check which squared numbers can be multiplied by another number to get 38.
Start with these numbers: 4, 9, 16, and 25
Step 2: Testing out the numbers
√25 × __ = 25 can't be divided by 38
√16 × ___ = 16 can't be divided by 38
√9 × ____ = 9 can't be divided by 38
√4 × ____= 4 can't be divided by 38
Step 3: Answer
After trying the square root numbers that could possibly work with √38 none work; which means √38 can't be simplified. So the answer is √38
I hope this helps!
Which point on the number line represents the product of 4 and –2?
Point A
Point B
Point C
Point D
Answer:
It's A
Step-by-step explanation:
the one above me is incorrect it's "A"
Answer:
A
Step-by-step explanation:
hi
what is the domain and range?
PLEASE HELP
Two projectiles are shot vertically upward at the same instant.
Projectile A's height in feet, f(t), is represented in the table, where t is the seconds since the projectile was shot off
Projectile B's height at any time t is modeled by the function
h (t)=-16t^2 +96t
How do the times at which the projectiles begin their descents compare?
SEE PHOTO
Projectile B begins its descent 1 seconds before Projectile A does.
What is y-intercept?In Mathematics and Geometry, the y-intercept of any graph or table such as a quadratic equation or function, generally occurs at the point where the value of "x" is equal to zero (x = 0).
By critically observing the table shown in the image attached above, we can reasonably infer and logically deduce the following y-intercept of Projectile A:
y-intercept = (0, 44).
Maximum height = (4, 300).
When t = 0, the y-intercept of Projectile B can be calculated as follows;
h(t) = -16t² + 96t
h(0) = -16(0)² + 96(0)
h(0) = 0.
For the maximum height, we have:
h(t) = -16t² + 96t
h'(t) = -32t + 96
32t = 96
t = 96/32
t = 3
Difference in time = 4 - 3
Difference in time = 1 seconds.
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Desperate Need Of Help
The domain and range of the graph above in interval notation include the following:
Domain = [-6, 3]
Range = [-3, 3]
What is a domain?In Mathematics and Geometry, a domain refers to the set of all real numbers (x-values) for which a particular function (equation) is defined.
In Mathematics and Geometry, the horizontal portion of any graph is used to represent all domain values and they are both read and written from smaller to larger numerical values, which simply means from the left of any graph to the right.
By critically observing the graph shown in the image attached above, we can reasonably and logically deduce the following domain and range:
Domain = [-6, 3] or -6 ≤ x < 3.
Range = [-3, 3] or -3 < y < 3
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The time X(mins) for Ayesha to prepare breakfast for her family is believed to have a uniform
distribution with A=25 and B=35.
a) Determine the pdf of X and draw its density curve.
b) What is the probability that time taken by Ayesha to prepare breakfast exceeds 33 mins?
c) What is the probability that cooking or preparation time is within 2 mins of the mean time?
(Hint: Identify mean from the graph of f(x))
Answer:
(c) \(f_{X}(x)=\left \{ {{\frac{1}{35-25}=\frac{1}{10};\ 25<X<35} \atop {0;\ Otherwise}} \right.\)
(b) The probability that time taken by Ayesha to prepare breakfast exceeds 33 minutes is 0.20.
(c) The probability that cooking or preparation time is within 2 mins of the mean time is 0.40.
Step-by-step explanation:
The random variable X follows a Uniform (25, 35).
(a)
The probability density function of an Uniform distribution is:
\(f_{X}(x)=\left \{ {{\frac{1}{B-A};\ A<X<B} \atop {0;\ Otherwise}} \right.\)
Then the probability density function of the random variable X is:
\(f_{X}(x)=\left \{ {{\frac{1}{35-25}=\frac{1}{10};\ 25<X<35} \atop {0;\ Otherwise}} \right.\)
(b)
Compute the value of P (X > 33) as follows:
\(P(X>33)=\int\limits^{35}_{33} {\frac{1}{10}} \, dx \\\\=\frac{1}{10}\cdot\int\limits^{35}_{33} {1} \, dx \\\\=\frac{1}{10}\times [x]^{35}_{33}\\\\=\frac{35-33}{10}\\\\=\frac{2}{10}\\\\=0.20\)
Thus, the probability that time taken by Ayesha to prepare breakfast exceeds 33 minutes is 0.20.
(c)
Compute the mean of X as follows:
\(\mu=\frac{A+B}{2}=\frac{25+35}{2}=30\)
Compute the probability that cooking or preparation time is within 2 mins of the mean time as follows:
\(P(30-2<X<30+2)=P(28<X<32)\)
\(=\int\limits^{32}_{28} {\frac{1}{10}} \, dx \\\\=\frac{1}{10}\cdot\int\limits^{32}_{28}{1} \, dx \\\\=\frac{1}{10}\times [x]^{32}_{28}\\\\=\frac{32-28}{10}\\\\=\frac{4}{10}\\\\=0.40\)
Thus, the probability that cooking or preparation time is within 2 mins of the mean time is 0.40.
A positive real number is 1 more than another. When -2 times the smaller is added to the square of the larger, the result is 33. Find the numbers.
Answer:
The smaller number is 4√2 and the larger number is (4√2 + 1).
Step-by-step explanation:
Let the two numbers be x and y, where y is the larger of the two numbers.
Since y is the larger number, it is one more than the smaller number. So:
\(y=x+1\)
When negative two times the smaller is added to the square of the larger, the result is 33. In other words:
\(-2x+y^2=33\)
Substitute:
\(-2x+(x+1)^2=33\)
Solve for x. Square:
\(-2x+(x^2+2x+1)=33\)
Simplify:
\(x^2+1=33\)
Subtract one from both sides:
\(x^2=32\)
And take the square root of both sides:
\(x=\pm\sqrt{32}=\pm 4\sqrt{2}\)
Since y is positive, we can ignore the negative case. So, the smaller number is:
\(x=4\sqrt{2}\approx5.66\)
And the larger number is:
\(y = 4\sqrt{2} + 1 \approx6.66\)
Find unit rate round to nearest hundredth if necessary.
Brainliest
Please don’t put any files I cannot download them. Therefore I cannot accept files please and thank you.
Answer:
Step-by-step explanation:
0.57 . im guessing
Solve for x 15+5x=20x
Answer:
Step-by-step explanation:
15+5x=20x
-5x -5x => Subtract 5x from each side
You get
15 = 15x
Divide both sides by 15
1=x
The points (-5, p) and (-4,5) fall on a line with a slope of 3. What is the value of p?
p =
What are the domain and range of the function represented by the set of
ordered pairs?
{(-11, 11),(-8, 8), (0, 0), (13, -13)}
Answer
Domain in the correct order: -11, -8, 0, 13
Range in the correct order: -13, 0, 8, 11
Step-by-step explanation:
I want to know what the answer to this question is.
Answer:
I'll say 43 degrees, if you were to take out the D line, then it would've been a 180 degree, which you subtract 137 degrees from to get 43 degrees.
I think the answer is B 43
You would have to subtract 180 by 137 because the angles are supplementary to each other.
A certain television is advertised as a 76-inch TV (the diagonal length). If the width of
the TV is 66 inches, how tall is the TV? Round to the nearest tenth of an inch.
Answer:
37.7
Step-by-step explanation:
If the diagonal length and the television are given as 76 inches and 66 inches, the obtained length will be 37.68
What is a rectangle?In two-dimensional planning geometry, it is the region that the rectangle occupies. It is described as a type of two-dimensional geometry where the angle between neighboring sides is 90 degrees. It is a specific kind of quadrilateral.
The following formula can be used to determine a rectangle's area:
Rectangle area = length x width
It given that, the diagonal length of the TV is 76 inches, the width of the TV is 66 inches,
We have to find the length of the television. Apply the Pythagoras theorem,
AC²=AB²+BC²
76²=66²+BC²
BC²=76²-66²
BC²=1420
BC=√1420
BC=37.68
Thus, the obtained length of the television will be 37.68
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Pls help!!!! asapppp
The percentage decrease in the price of the stock is 0.72%
The initial price of the technology stock = $9.66
The new price of the technology stock = $9.59
The decrease in price = The initial price of the technology stock - The new price of the technology stock
Substitute the values in the equation
= 9.66 - 9.59
Subtract the terms
= $0.07
The percentage of decrease in price = (The decrease in price / The initial price of the technology stock) × 100
Substitute the values in the equation
= (0.07 / 9.66) × 100
= 0.72 %
Hence, the percentage decrease in the price of the stock is 0.72%
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Two people are planning their wedding. For the reception, they found the the cost C for 50 guests, g is $2150 whereas the cost for 75 guests is $3025. Calculate the slope to find the cost per guest?
The slope which shows the cost per guest is $35 per guest
The given cost for 50 guests is $2150.
The cost for 75 guests is $3025.
It can also be represented as:
(Guest, Cost) =(50, $2150) & (75, $3025)
The slope can now be calculated as
Slope = (y₂ - y₁)/(x₂ - x₁)
Where
(x, y) = (50, $2150) & (75, $3025)
Substituting the given values in the equation as follows:
Slope = (3025 - 2150)/(75 - 50)
Slope = 35
Hence, the slope is $35 per guest.
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1. Find the length of X (in the picture) plssss I need help.
Step-by-step explanation:
\( \frac{5}{4} = \frac{x}{6} \\ 4x = 30 \\ x = 7.5\)
What is the largest amount which can be borrowed over three years at 4.5% APR if the largest
affordable monthly payment is $279? (Round to the nearest ten dollars.)
Answer:
$12.5 dollars
Step-by-step explanation:
cc
Please answer this correctly without making mistakes
Answer:
The distance between the art gallery and the office supply store is 42 miles
Step-by-step explanation:
Notice that the segment that joins the office store with the art gallery, has a length that equal the distance between the art gallery and the bank, plus the distance between the bank and the office supply store. That is;
32.1 mi + 9.9 mi = 42 mi
the dice was thrown 35 times and following numbers were obtained prepare frequency table51423266142545361526254132141626333
This table shows the frequency of each number obtained after throwing the die 35 times
How to prepare frequency tableTo prepare a frequency table based on the numbers obtained from throwing a die 35 times, we can list the numbers from 1 to 6 and count the frequency of each number.
Numbers: 1, 2, 3, 4, 5, 6
Frequency: 5, 14, 6, 4, 5, 1
Based on the given numbers, the frequency table would look like this:
Number | Frequency
1 5
2 14
3 6
4 4
5 5
6 1
This table shows the frequency of each number obtained after throwing the die 35 times.
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Please answer this correctly
Answer:
75%
Step-by-step explanation:
There is 1 whisker and quartiles 1-3 so:
25%+25%+25%=75%
In 2021 a 30-second commercial during the Super Bowl cost $5.6 million and the CPI was approximately 271.4. Assuming that price changes are simply due to inflation, what would the same 30 second commercial have cost during the first Super Bowl in 1967, when the CPI was 33.4? Round your answer to the nearest hundred dollars.
In 2021 a 30-second commercial during the Super Bowl cost $5.6 million and the CPI was approximately 271.4. Assuming that price changes are simply due to inflation, when the CPI was 33.4 the estimated cost of a 30-second commercial during the first Super Bowl in 1967 would be approximately $68,900.
To calculate the cost of the 30-second commercial during the first Super Bowl in 1967, we can use the concept of inflation and the Consumer Price Index (CPI).
The CPI measures the average price change of a basket of goods and services over time. By comparing the CPI values of two different years, we can estimate the relative increase in prices due to inflation.
Given data:
Cost of a 30-second commercial in 2021 = $5.6 million
CPI in 2021 = 271.4
CPI in 1967 = 33.4
To calculate the cost in 1967, we need to adjust the 2021 cost for inflation using the CPI ratio:
Cost in 1967 = (Cost in 2021) * (CPI in 1967 / CPI in 2021)
Cost in 1967 = ($5.6 million) * (33.4 / 271.4)
Cost in 1967 ≈ $0.689 million
To round the cost to the nearest hundred dollars, we can multiply the cost by 100 and round it to the nearest whole number:
Cost in 1967 ≈ $68,900
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To determine the amount of wrapping paper needed for a rectangular box, Ryan finds the surface area of the box. How much wrapping paper is needed if the box measures 10 cm by 3 cm by 8 cm?220 cm2 of wrapping paper134 cm2 of wrapping paper268 cm2 of wrapping paper240 cm2 of wrapping paper
Let's draw a picture of our box:
So we need to find the area of the 6 rectangular faces, which can be grouped in 3 pairs:
Then, for rectangle 1, the area is
\(\begin{gathered} A_1=\text{ base}\times heigth \\ A_1=10\times8 \\ A_1=80cm^2 \end{gathered}\)Simlarly, for rectangle 2, we have
\(\begin{gathered} A_2=10\times3 \\ A_2=30cm^2 \end{gathered}\)and for rectangle 3, we get
\(\begin{gathered} A_3=3\times8 \\ A_3=24cm^2 \end{gathered}\)Therefore, the surface area (S) of the box is given as
\(S=2\times A_1+2\times A_2+2\times A_3\)then, by substituting our above result into the last equation, we have
\(S=2\times80+2\times30+2\times24\)which gives
\(\begin{gathered} S=160+60+48 \\ S=268cm^2 \end{gathered}\)Therefore, the answer is: 268 square centimeters of wrapping paper. (Option 3 from top to bottom)
If anyone can help with any of these probability questions, I'll give more points and brainiest!! Idaho Jones regains consciousness and next to her are 4 blodegradable packing peanuts. 5 seconds later each peanut has split in half, and each half grows into a full-size peanut. This repeats in the next 5 seconds. She sees a door with a keypad. A sign next to it has a timer indicating 10 seconds have passed and says the code is the number of peanuts when the timer reaches 100. (After 10 secords there were 16 peanuts.) Idaho realizes she must escape before then or the peanuts could suffocate her. Show how she figures out the code to open the door, and write what the code is
A mans
Idaho gets out and closes the door behind her. She is in a room with one exit, and the lock requires a key. There's a table with a briefcase that is also locked. It has a three-digit combination. The first part of the combination is on a wheel with all 10 digits. The second wheel has only 5 digits, and the third has 3 digits. How many combinations are possible?
150
combinations
The briefcase holds a key and out Idaho goes. She is met by an enchanted skeleton that directs her to a wall where a shelf has room for 5 books. The 5 ancient books are on the floor. She puts them on the shelf, but nothing happens. She realizes they must be put in the correct order. How many attempts will Idaho need to make if she doesn't get it right until her last attempt
Answer: let me explain!
Step-by-step explanation: So this might seem really confusing at first, but it’s actually suuuuuuper easy :P
So, if you think about it, every five seconds the amount of peanuts…well I don’t know how to explain it but let me show you this with numbers.
(4x2)x2x2x2 and so on. The number multiplies by two every five seconds from there. So figure out how many groups of five second there are in 100 seconds by dividing!
It’s 20!
So since 5 happens 20 times, and every time 5 happens, 2 happens, 2 also happens 20 times! (If that makes any sense)
So that answer would be 8x*twenty twos*
Which is…*drumroll please*
8,388,608
I even double checked!
And for the briefcase skeleton thing
She needs to try it 25 times because there are 5 books and each book can be switched with the other 4 times if the first one doesn’t work, therefore you need to multiply and the equation would be 5^2, or in other words, 25.
Don’t forget ur units!
Hope this helps :P
This may be hard to put together, but I need help with an angle equation. I'm looking for example equations and how to do these types of equations. *please note that this equation is completely random and probably ends with an ugly number. it's just an example of a type of problem*
Example: (2x - 4) x=7 so (2x (x=7) - 4) =18
Pedro's mother was labeling items in the kitchen and she decided to decorate one of her cylinder storage containers with special paper.She asked for pedro's help,the radius is 5.5 inches and the height is 11 inches.How much does she need?
If she does not want to decorate the tops of the cylinder. The total amount of paper she needs is
\(2\cdot\pi\cdot5.5\cdot11=121\pi\approx380.14in^2\)AYOOOOOO I NEED HALP WILL GIVE BRINLIST
Answer: D. The theoretical probability is greater than the experimental.
Step-by-step explanation:
The theoretical probability is 1/2 (0.5) because a coin has two sides, and one of those sides is a head.
The experimental probability is 5/27 (0.19) because out of the 27 flips, 5 flips resulted in a head.
0.5 (Theoretical) > 0.19 (Experimental)
The theoretical probability is greater than the experimental probability.
Cellular phone usage grew about 22% each year from 1995 (about 34 million) to 2003. Write a function to model cellular phone usage over that time period. What is the cellular usage in 2003?
Answer:
Given the information you provided, we can model cellular phone usage over time with an exponential growth model. An exponential growth model follows the equation:
`y = a * b^(x - h) + k`
where:
- `y` is the quantity you're interested in (cell phone usage),
- `a` is the initial quantity (34 million in 1995),
- `b` is the growth factor (1.22, representing 22% growth per year),
- `x` is the time (the year),
- `h` is the time at which the initial quantity `a` is given (1995), and
- `k` is the vertical shift of the graph (0 in this case, as we're assuming growth starts from the initial quantity).
So, our specific model becomes:
`y = 34 * 1.22^(x - 1995)`
To find the cellular usage in 2003, we plug 2003 in for x:
`y = 34 * 1.22^(2003 - 1995)`
Calculating this out will give us the cellular usage in 2003.
Let's calculate this:
`y = 34 * 1.22^(2003 - 1995)`
So,
`y = 34 * 1.22^8`
Calculating the above expression gives us:
`y ≈ 97.97` million.
So, the cellular phone usage in 2003, according to this model, is approximately 98 million.
How many mL are equivalent to 4 cups?
Answer: 946.353 ML in 4 Cups
Step-by-step explanation:
1 ml = 0.00422675284 Cups
A square is cut into two identical rectangles. Find the perimeter of each rectangle if the perimeter of the square is 48 cm.
thankyou ~
Solution:
perimeter of rectangle = 2 ( Length + Width )
a square has all sides of similar length. thus [ length = width ]Find length/width:
2 (length + length) = 48
2(length) = 24
length = 12 cm
width = 12 cm
⇒ The dimensions of square: 12 x 12
If the square cut into half, the dimensions of either length or width will half.
Therefore, the perimeter of rectangle:
→ 2 (length + width)
→ 2 ( 12 + 6 )
→ 2 ( 18 )
→ 36 cm