Evaluate f(a-5) given f(x)=x to the 2nd power + 8
you have a 4x6 photo of you and your friend. You order a 5x7 print of the photo. Is the new photo similar to the original?
how do you graph 4x=2y-3
A certain computer can perform 10^5 calculations per second. How many calculations can it perform in 10 seconds?
The no. of calculations computer can perform in 10 seconds will be equal to 10^6.
It is given that computer can perform 10^5 calculations per second.
We have to find no. of calculations to be performed by computer in 10 seconds.
What is the unitary method?
The unitary method is a method in which we find the value of a unit and then the value of the required number of units.
As per the question ;
A computer can perform calculations per second = 10^5
or
Calculations per second = 100000
So ,
The number of calculations to be performed in 10 seconds will be ;
= 100000 × 10
= 1000000
= 10^6
Thus , the no. of calculations computer can perform in 10 seconds will be equal to 10^6.
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You use the length of your shoe to measure your room. Your shoe is 9.75 inches long. You walk across the room, heel to toe, and count 17.5 shoe lengths.
About how long is your room in inches?
the length of the room is 170.63 inches.
The length of the room in inches is [tex]\( 9.75 \text{ inches/foot} \times 17.5 \text{ shoe lengths} = 170.625 \text{ inches} \), or approximately \( 170.63 \) inches.[/tex]
To calculate the length of the room, we first need to determine the total distance traveled by walking across the room, heel to toe, in terms of shoe lengths, and then convert that distance into inches.
Given:
- Length of shoe = 9.75 inches
- Number of shoe lengths walked across the room = 17.5 shoe lengths
First, we find the total distance walked in inches:
[tex]\[ \text{Total distance} = \text{Length of shoe} \times \text{Number of shoe lengths} \][/tex]
[tex]\[ \text{Total distance} = 9.75 \text{ inches/shoe} \times 17.5 \text{ shoes} \][/tex]
[tex]\[ \text{Total distance} = 170.625 \text{ inches} \][/tex]
Rounded to two decimal places, the length of the room is approximately 170.63 inches.
Here’s a bit more detail on each step:
1. Convert Shoe Length to Inches: Since each shoe length is 9.75 inches, we use this conversion factor to turn the shoe lengths into inches.[tex]\( 17.5 \) shoe lengths \(\times\) \( 9.75 \) inches/shoe = \( 170.625 \) inches.[/tex]
2. Round Off: We round off the final answer to two decimal places, giving us a room length of approximately \( 170.63 \) inches. This rounding is common in measurements where precision beyond two decimal places isn't necessary.
3. Explanation Summary: By multiplying the length of the shoe by the number of shoe lengths walked across the room, we can accurately calculate the total distance traveled and thus determine the length of the room.
complete question
You use the length of your shoe to measure your room. Your shoe is 9.75 inches long. You walk across the room, heel to toe, and count 17.5 shoe lengths.
About how long is your room in inches?
Determine the x- and y-intercepts of the graph of y=−12x−4
What is the product of −2 2/5 and −3 5/6 ?
can someone please help me with this ?
Use prime factorization to find the LCM of 10 and 12
9 is 12 percent of which number
Ten identical cards are numbered 1 to 10. The cards are shuffled. One card is selected at random. what is the probability that the number written on it is:
10?
5?
Not 10?
An Odd Number?
A number less than 4?
A number greater than 7?
-4k + 3.6=7.8 solve the equation
what's 7xb +2ya +7xb
It takes you 0.8 of a minute to read each page of your health book. It takes you 5.5 minutes to take the test at the end. How long will it take you to read 6.25 pages and also take the test?
Answer: It will take 10.5 minutes to read 6.25 pages and take the test.
Step-by-step explanation:
Hi, the expression that represents this situation is :
0.8 p + 5.5
Since each reading each page of the health book takes 0.8 minutes, we have to multiply that time by the number of pages read (p) and add the time that spent on taking the test (5.5).
So, if the number of pages is p=6.25, we simply replace p in the expression.
0.8 (6.25) +5.5 = 5+5.5 = 10.5 minutes
It will take 10.5 minutes to read 6.25 pages and take the test.
What does 3 divided by 5 equal to
A factory wanted to produce 7600 radios. At first, they planned to produce 600 radios each day. However, 8 days later, the remaining radios had to be produced in 4 days. How many more radios than originally planned had to be produced everyday?
Plz help!!! And show me how to obtain the result! :)
Calculate 1/4+(-5/12)+(-2/3)
what is the reciprocal of 3 and 1/5
Find the length of XZ:
please help and explain if possible
solve for k. 2S=n(a+k)
Plot the line for the equation on the graph.
y−4=−1/4(x−5)
Answer: we will rewrite the given equation y-4 =[tex]\frac{-1}{4} (x-5)[/tex] in slope intercept form.
so, we get
y = [tex]\frac{-1}{4} x+\frac{21}{4}[/tex]
slope = [tex]-\frac{1}{4}[/tex] and y-intercept = [tex]\frac{21}{4}[/tex]
now, we have to make the table of x and y
now we consider different values of x to find the value of y corresponding values of x using equation y = [tex]\frac{-1}{4} x+\frac{21}{4}[/tex]
X Y
0 [tex]\frac{21}{4}[/tex]
1 5
2 [tex]\frac{19}{4}[/tex]
3 [tex]\frac{18}{4}[/tex]
have a look at the attachment for graph.
Attached graph is having a downward-sloping line with y-intercept (0, 21/4) and a slope of -1/4. Equation: y = (-1/4)x + 21/4.
To plot the line for the equation y - 4 = -1/4(x - 5),
first rewrite it in slope-intercept form (y = mx + b), where 'm' is the slope, and 'b' is the y-intercept.
y - 4 = -1/4(x - 5)
Distribute the -1/4 on the right side:
y - 4 = (-1/4)x + 5/4
Move -4 to the right side by adding 4 to both sides of the equation:
y = (-1/4)x + 5/4 + 4
Combine constants on the right side:
y = (-1/4)x + 5/4 + 16/4
Combine fractions on the right side:
y = (-1/4)x + 21/4
Now the equation in slope-intercept form (y = mx + b) where the slope (m) is -1/4, and the y-intercept (b) is 21/4.
To graph the line, follow these steps:
Plot the y-intercept point (0, 21/4).
Use the slope (-1/4) to find additional points. The slope -1/4 means that for every 4 units you move to the right, go down 1 unit.
Draw a straight line passing through the points you plotted.
Here are a few more points you can use to plot the line:
When x = 0, y = 21/4.
When x = 4, y = 21/4 - 1 = 17/4.
When x = 8, y = 21/4 - 2 = 13/4.
Now, plot these points on the graph and draw a straight line passing through them.
The graph should look like a downward-sloping line.
Attached graph.
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Which expression shows the distance on the number line between −3 and −10 ?
A. |−10−3|
B. |−3−(−10)|
C. |−3+(−10)|
D. |−3−10|
(P.S. There Is No Number line On The Test)
Answer: B
Step-by-step explanation:
Tom went to a store and spent 1/3 of his money. He went to a second store where he spent 1/3 of what remained and then had 12$ when he left. How much money did he start with?
How do you do Mental Division?
What is the first answer to the first question
Answer:
2.99
Step-by-step explanation:
Will give BRAINLIEST if right!
Write the number in standard notation.
7.21×10^−3
721,000
72,100
0.000721
0.00721
To convert a number from scientific notation to standard form, consider 1.5625 x 10^4. First, focus on the exponential number, which is 10^4. Multiply the base number, which is 10, by itself the number of times indicated by the exponent, which is four. You would do that like this:
10 x 10 x 10 x 10 = 10, 000
Plug the product -- which is 10,000 -- into the original equation to get this:
1.5625 x 10,000 = 15, 625
Therefore, the standard form of this number is 15,625.
For a number in expanded form, convert the number, using basic addition. For example, consider the expanded number 10,000 + 2000 + 100 + 10 + 9. Add up these numbers to get the standard form. Your equation would look like this:
10,000 + 2,000 + 100 + 10 + 9 = 12,119
Therefore, the standard form of the number is 12,119.
Calvin cleans 3/5 of his bathroom with 1/3 of a bottle of cleaning solution.At this rate, what fraction of the bottle of cleaning solution will Calvin use to clean his entire bathroom?
5/9 fraction of the bottle of cleaning solution will Calvin use to clean his entire bathroom.
What is a fraction?A fraction is a numeral that represents a rational number.
Let a and b are two number, then their fraction can be represent as a/b.
Given that,
Calvin cleans 3/5 of his bathroom with 1/3 of a bottle of cleaning solution,
This implies that,
3/5 fraction of the whole bathroom takes 1/3 of the bottle
The entire bathroom will take= 1/3×5/3 = 5/9 of the bottle.
A 5/9 fraction will be used to clean the entire bathroom.
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write the place value of the underlined digit. round each number to the place of the underlined digit 2.348 *3 is underlined*
Factor x4 y2 + x3 y3