Translate the verbal expression into an algebraic expression.
The product of 7 and the square of r, increased by the difference of 5 and x^2
Answers
Answer:
[tex]7r^{2} +5-x^{2}[/tex]
Step-by-step explanation:
The "product" is the answer to a multiplication problem, which is why we know to multiply in the beginning of the equation. "The square of r" means r squared, which translates to r^2. Therefore, the product of 7 and the square of r would be translated into [tex]7r^{2}[/tex].
"Increased by" means addition because you are increasing the previous value, so we know to add after [tex]7r^{2}[/tex].
The "difference" is the answer to a subtraction problem, which is why we know to subtract in this part of the equation. The difference of 5 and x^2 would be translated into [tex]5-x^{2}[/tex].
When we put all of these components together, we arrive at [tex]7r^{2} +5-x^{2}[/tex].
I hope this helps! If it does, a brainliest would be much appreciated :)
Related Questions
If 30% of the students in your class like basketball, how many students are in your class if 6 students like
basketball?
Answers
The number of students in the class = 20
What is percentage?"It is a number or ratio that can be expressed as a fraction of 100."
For given example,
30 percent of the students in your class like basketball.
We need to find the total number of students if 6 students like basketball.
Let there are 'x' students in the class.
⇒ x × 30% = 6
⇒ x × (30/100) = 6
⇒ x = 6/0.3
⇒ x = 20
Therefore, there are 20 students in the class.
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Write 0.36 as a fraction in simplest form.
Answers
Answer:9/25
Step-by-step explanation:
Because .36=36/100. Then, divide by four for numerator and denominator
Answer:
9/25
Step-by-step explanation:
0.36 = 9
25
as a fraction
To convert the decimal 0.36 to a fraction, just follow these steps:
Step 1: Write down the number as a fraction of one:
0.36 = 0.36
1
Step 2: Multiply both top and bottom by 10 for every number after the decimal point:
As we have 2 numbers after the decimal point, we multiply both numerator and denominator by 100. So,
0.36
1
= (0.36 × 100)
(1 × 100)
= 36
100
.
Step 3: Simplify (or reduce) the above fraction by dividing both numerator and denominator by the GCD (Greatest Common Divisor) between them. In this case, GCD(36,100) = 4. So,
(36÷4)/(100÷4)
= 9
25
when reduced to the simplest form.
y intercept = ?
x intercept = ?
I need help in my Aleks homework :)
Answers
Answer:
y-intercept: 2
x-intercept: -2, 4
Step-by-step explanation:
Y-intercepts and x-intercepts are points on the graph that are on the y-axis and x-axis, respectively.
Looking at the graph, the graph passes through the y-axis at y=2. Therefore, the y-intercept is 2.
Looking at the graph, the graph passes through the x-axis at x=-2 and x=4. Therefore, the x-intercepts are -2 and 4.
whats the mean of -54 -32 -70 -25 -65 and -42 please help need the answer for a math quiz?!
Answers
Step-by-step explanation:
To find the mean, you add all the numbers and divide by how many there are.
In this case, you add -54,-32,-70,-25,-65, and -42. Then you divide by 6 because there are 6 numbers.
When you add them all, you get -288.
Now divide.
-288/6=-48
Hope it helps!
Answer:
-48
so you add all the numbers together, which will give you -288
there are 6 terms, so you divide -288 by 6
gives you your answer of -48
Which expression has a positive value?
(negative 5) (negative 9)
2 minus 4
12 divided by (negative 4)
Negative 3 + (negative 7)
Answers
Answer:
the correct answer is (-5)(-9) or A for short
Step-by-step explanation:
at a local college there are 8 women enrolled for every 3 men. If there are 60 men enrolled how many women are enrolled?
Answers
Answer:
160
Step-by-step explanation:
Priya drew a triangle with the side lengths 3, 4, 5. She wants to draw a triangle that is a SMALLER scaled copy. Which of the following are scale factors she could use to make the triangle smaller?
Answers
Answer:
She could make the triangle smaller by making the same triangle but smaller and add the same sides to the small triangle.
scale factors she could use to make the triangle smaller is [tex]\frac{1}{2}[/tex]
Given :
Priya drew a triangle with the side lengths 3, 4, 5
Given options are :
1.) 1/2
2.) 1
3.) 2
4.) 6
Explanation :
The ratio of the measurement of the corresponding sides of a triangle is a scale factor .
When we multiply the side length by a scale factor >1 that gives a bigger scaled copy
When we multiply the side length by a scale factor <1 that gives a smaller scaled copy
From the given options , scale factor 1/2 is less than 1
So 1/2 is the scale factor that could use to make the triangle smaller
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In the previous problem, Ken predicted a drop in
temperature. Explain why a drop in temperature would
lead to adding a negative integer.
Answers
Answer:
Because a drop in temperature means decrease in temperature therefore, we take an integer with negative sign and added to previous temperature.
Step-by-step explanation:
Drop in temperature means decrease in the temperature .When the temperature decreases then we take decrease value of temperature in negative integer. Because decrease means the temperature fall down .Hence , the decrease in temperature measure with negative sign .
For example, if we take temperature T= 70°C.
If the temperature decreases by 5°c then the temperature
Decrease in temperature=-5°C
Hence, the temperature T= 70+(-5)=65°C.
Therefore , from example we can say that when temperature decreases by some value in integer . Then ,we get final temperature obtained by adding drop in temperature ( negative integer ) in previous value of the temperature.
Answer: Sample reasopnse
A drop in temperature means the temperature will decrease. That decrease is represented by a negative integer, which should be added to the previous temperature.
Step-by-step explanation:
[tex]5\frac{5}{12} -2\frac{7}{8}[/tex]
Answers
Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{2 \frac{13}{24}}}}}} [/tex]
Step-by-step explanation:
[tex] \sf{5 \frac{5}{12} - 2 \frac{7}{8} }[/tex]
Convert the mixed number into improper fraction
[tex] \longrightarrow \sf{ \frac{5 \times 12 + 5}{12} - \frac{8 \times 2 + 7}{8}} [/tex]
[tex] \longrightarrow{ \sf{ \frac{60 + 5}{12} - \frac{16 + 7}{8} }}[/tex]
[tex] \longrightarrow{ \sf{ \frac{65}{12} - \frac{23}{8}}} [/tex]
Take the L.C.M of 12 and 8
To find out the L.C.M , first of all find the prime factors of each numbers.
12 = 2 × 2 × 3
8 = 2 × 2 × 2
Take out the common prime factors : 2 and 2
Also, take out the remaining prime factors: 3 and 2
Multiply those all prime factors and obtain L.C.M
= 2 × 2 × 3 × 2 = 24
L.C.M. of 12 and 8 = 24
[tex] \longrightarrow{ \sf{ \frac{65 \times 2 - 23 \times 3}{24} }}[/tex]
[tex] \longrightarrow{ \sf{ \frac{130 - 69}{24}}} [/tex]
[tex] \longrightarrow{ \sf{ \frac{61}{24}}} [/tex]
Convert the improper fraction into mixed number
[tex] \longrightarrow{ \sf{2 \frac{13}{24}}} [/tex]
Hope I helped!
Best regards! :D
Answer:
Convert the mixed numbers to improper fractions, then find the LCD and combine.
Exact Form:
61/24
Decimal Form:
2.5416
Mixed Number Form:
2 13/24
Step-by-step explanation:
The number 9 is a whole number but not an integer
Answers
Answer:
9 is both a whole number and an integer.
Step-by-step explanation:
The number 9 is a whole number and an integer as well
Determine whether this graph is a function
Answers
Step-by-step explanation:
A function is such that every element in the domain has only 1 image in the range. The domain here are the x-values while the range is the y-values.
However a vertical line can cross the graph more than once. Hence the graph is not a function.
Think of the 3 different ways you can violate netqieutte in social media, emails, or texting. In other words, give 3 things you should never do online. List the 3 violations using complete sentences. Give a basic example of each violation. What can you do improve your netiqutte? math teacher asked
Answers
Answer:
Foul language, Cyber bullying, send innapropriate photos.
The way I cam improve my ettiquite by practicing these things.,
Step-by-step explanation:
{3, 5, 7, 9, 11)
Determine the mean and the mean absolute deviation (MAD).
(PLEASE HELPPP!!!!!!)
Answers
Answer:
Mean Absolute Deviation = 2.4
Step-by-step explanation:
Find you have to find the mean (average):
3 + 5 + 7 + 9 + 11 = 35
35 / 5 = 7
Mean = 7
The mean absolute deviation is the mean (average) of the distance from the other numbers (absolute means that if the number is negative it turns into a positive):
3 - 7 = 4
5 - 7 = 2
7 - 7 = 0
9 - 7 = 2
11 - 7 = 4
Now we have to find the mean of this numbers:
4 + 2 + 0 + 2 + 4 = 12
12 / 5 = 2.4
Mean Absolute Deviation = 2.4
Answer:
2.4
Step-by-step explanation:
Hope I helped :)
Which integer in the set has the greatest value (7, -7, -3, 3)?
OA) -7
OB) -3
O C) 3
OD) 7
Answers
Answer 7
Step-by-step explanation:
7 will be the greatest value.
Correct option is (D).
What is a Set?The definition of a set in mathematics is a group of things whose components are unchangeable and fixed. In other words, a set is accurately described as a group of data that does not pass from one person to another. The items can be written in any sequence, but they cannot be repeated in the set. Capital letters are used to denote the set.
Several other kinds of sets include the infinite set, the finite set, the equivalent set, the subset, the universal set, and the superset. Each kind of set has a different place in calculations. Sets are essentially used to represent large amounts of data and collections of data in everyday life. Thus, in this article, we'll learn about and talk about the universal set.
As per the given data:
The integer set is {7, -7, -3, 3}
For the greatest value, arranging the set in ascending order:
{-7, -3, 3, 7}
The greatest value will be 7.
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Write an addition expression to describe the situation. Then find the sum and select the correct answer below. A hiker starts at 200 ft. above sea level and then hikes up the mountain 1,500 more feet. When coming down the other side of the mountain, she descends 500 before taking a ten-minute break. How high above sea level is she during this ten-minute break?
A 1,700 ft. B1,000 ft. C1,200 ft. D1,190 ft.
Answers
Answer:
(200+1,500) - 500 = 1,200 ft
Step-by-step explanation:
the hiker started at 200 ft then went 1500 more feet. (add it up) Then, she descends (goes down) 500 feet. So let's subtract 500 feet from the sum of 200 and 1500. ( (200+1500 equals 1700, then subtract 500 which will be 1200.) ) So, she is 1200 feet above sea level during the 10 minute break.
♡ Hope it helps♡
2/3 converted to a decimal then to percent
Answers
Answer:
0.66666667 then 66.66%
Step-by-step explanation:
Step-by-step explanation:
Check the above photos
A diver was exploring the ocean. The diver dove 32 ft. below sea level. Then dove another 45 ft. At what depth was the diver?
Answers
Step-by-step explanation:
add 32 ans 45 together thats your answer
Answer:
-77
Step-by-step explanation:
-32+-45=-77
I hope I helped you ;)
what is the midpoints of a segment with the given endpoints. (3,4) and (-2,9)
Answers
Answer:
The answer is
[tex]( \frac{1}{2} \: , \: \frac{13}{2} )[/tex]Step-by-step explanation:
The midpoint M of two endpoints of a line segment can be found by using the formula
[tex]M = ( \frac{x1 + x2}{2} , \: \frac{y1 + y2}{2} )[/tex]where
(x1 , y1) and (x2 , y2) are the points
From the question the points are
(3,4) and (-2,9)
The midpoint is
[tex]M = ( \frac{3 - 2}{2} , \: \frac{4 + 9}{2} )[/tex]We have the final answer as
[tex]( \frac{1}{2} \: , \: \frac{13}{2} )[/tex]Hope this helps you
Simplify (3x – 5) + (5x + 1)
Answers
Answer:
8x-4
Step-by-step explanation:
(3x-5)+(5x+1)
=3x-5+5x+1
=8x-4
combine like terms:
x - 3y^3 + 3x^3 - 5x - x^3 - x - 2x^3
Answers
Hey there!
[tex]Answer: \boxed{-3y^3-5x}[/tex]
[tex]Explanation:[/tex]
Combine like terms.
[tex]\boxed{-3y^3-5x}}\text{ is your answer.}[/tex]
Hope this helps!
[tex]\text{-TestedHyperr}[/tex]
Answer:
[tex]-3y^3-5x\\[/tex]
Step-by-step explanation:
[tex]x-3y^3+3x^3-5x-x^3-x-2x^3\\[/tex]
rewriting will help combine like terms effectively
[tex]-2x^3+3x^3-x^3-3y^3+x-x-5x[/tex]
Now combine like terms
[tex]-3y^3-5x[/tex]
barbara spent 3,825 for care of her pets last year.sam spent 2,450 last year how much more then sam di then barbara
Answers
Answer:
1,325
Step-by-step explanation:
subtract the smaller number from the biggest.
3825-2450=1375
The Hartman family is saving $400 monthly for Ronald's college education. The family anticipates they will need to
contribute $20,000 toward his first year of college, which is in 4 years. Which best explains whether the family will
have enough money in 4 years?
O The family will not have enough money. They will have saved only $16,000.
O The family will not have enough money. They will have saved only $19,200.
O The family will likely have enough money. They will have saved $16,000 and have accumulated interest.
The family will likely have enough money. They will have saved $19,200 and have accumulated interest.
Answers
Answer:
D. The family will likely have enough money. They will have saved $19,200 and have accumulated interest.
Step-by-step explanation:
Got 100% on edge.
Find the midpoint of a segment with the given endpoints.
W(-1, 1), 0(5, -5) =
Answers
Answer:
(2,-2)
Step-by-step explanation:
(5+(-1))/2=4/2=2
(-5+1)/=-4/2=-2
is 2.64 greater or less than 1.9?
Answers
2.64 is greater than 1.9
The equation r = 3c + 5 represents the values shown in the table below.
c
6
8
12
18
r
23
29
?
59
What is the missing value in the table?
12
35
41
44
Answers
Answer:
49
Step-by-step explanation:
c
6
8
12
18
r
23
29
"49"
58
Answer:
41
Step-by-step explanation:
multiply the c value (12) by 3 and add 5
Zoey walks 3 blocks East and then 4 blocks North. If each block is 100 ft, how many feet is Zoey from her starting point?
Answers
Answer:
700
Step-by-step explanation:
3 blocks + 4 blocks is 7 blocks
7 x 100= 700
The sum of one-third a number and twenty-five is as much as twice the number
Answers
Answer:
75/7 = 105/7 (ten whole number, five over seven)
Step-by-step explanation:
1/3n + 25 = 2n
n is the number
n/3 + 25/1 = 2n
n + 75/3 = 2n
cross multiply
n + 75 = 6n
75 = 7n
n = 75/7
n = ten whole number, five over seven (105/7)
Round to the nearest hundredth 0.994
Answers
Answer:
0.99
Step-by-step explanation:
-g -24= -17
What is the answer ?
Answers
Answer:
g = -7
I hope this helps!
1. Express 53 pm, the size of a hydrogen atom, in scientific notation
Answers
Answer:
[tex]5.3\times 10^{-11}\ m[/tex]
Step-by-step explanation:
In this problem, we need to express 53 pm in which is the size of a hydrogen atom, in scientific notation.
Any number can be expressed in scientific notation as follows :
[tex]N=a\times 10^b[/tex]
a is any real no and b is any integer
We know that, 1 pm = [tex]10^{-12}\ m[/tex]
It means, [tex]53\ pm=53\times 10^{-12}\ m[/tex]
or
[tex]53\times 10^{-12}\ m=\dfrac{53}{10}\times 10^{-12}\times 10\\\\=5.3\times 10^{-12+1}\\\\=5.3\times 10^{-11}\ m[/tex]
Therefore, the above is the scientific notation for the size of a hydrogen atom.
