Step-by-step explanation:
These problems are about like terms. Those are terms that are alike (same variables) but the coefficients (numbers in front) can be different.
1. 12m + 24m = 36m
2. 90a - 30a = 60a
Example: 6k + 8k + 10 = 14k + 10 (the part of the expression that's just a number does not combine with the parts that have variables).
3. 29b + 8
4. 36d + 25 (the terms with d in them combine--they don't have to be back-to-back)
5. This is about the Distributive Property; first multiply 14 + 15f both by 3, then look for opportunities to combine like terms.
3(14 + 15f) + 79 = 42 + 45f + 79 = 121 + 45f
6. 20(18 + 5t) - 47 + 28t = 360 + 100t - 47 + 28t
= 313 + 128t
In which number is the digit 2 one hundred times larger than it is in the number 524
Answer: 2,504?
Step-by-step explanation: baccically times the 2 only by 100, or at least that’s what I am seeing. LOL
Any number which has digit 2 at its thousandth place will have the digit 2 one hundred times larger than it is in the number 524
What is place value?Place value is the value of each digit in a number.
For example, the 5 in 350 represents 5 tens, or 50; however, the 5 in 5,006 represents 5 thousands, or 5,000.
It is important that while a digit can be the same, its value depends on where it is in the number.
Given that, we need to determine that which number is the digit 2 one hundred times larger than it is in the number 524,
So, if we consider a number having 2 at its thousandths place,
For example : 32000, the place value of 2 is 2000,
In the number 524, the place value of 2 is 20,
Now, 2000/20 = 100
So, here we see that, the digit 2 in 32000 is 100 times larger than the digit 2 in 524
Hence, any number which has digit 2 at its thousandth place will have the digit 2 one hundred times larger than it is in the number 524
Learn more about place values, click;
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Show your work Please!
Answer:
5) 268.08cm
6)1150.35mi
7)33.51in
8)904.78yd
Step-by-step explanation:
5) V= 4/3πr^3
V=4/3π4^3
V=268.08257
6) r=1/2d
r=1/2(13)
r=6.5
V= 4/3πr^3
V= 4/3π 6.5^3
V=1150.3465
7) V= 4/3πr^3
V= 4/3π 2^3
V=33.510
8)V= 4/3πr^3
V= 4/3π 6^3
V=904.778
n divided by 8, then subtract 3 from the quotient
Answer:
[tex]\frac{n}{8} -3[/tex]
Step-by-step explanation:
n, a number is being divided by 8, and then 3 is being subtracted from the quotient.
What is the probability of rolling a 20-sided number cube to a number that is prime or a multiple of 3?
Answer:
Probability of rolling a prime or multiple of 3 = 13/20
Probability of rolling a prime = 2/5
Probability of rolling a multiple of 3 = 3/10
Step-by-step explanation:
let's list primes and multiples of 3 from 1 to 20
Primes:
2 3 5 7 11 13 17 19
Multiples of 3:
3 6 9 12 15 18
Primes OR multiples of 3
2 3 5 6 7 9 11 12 13 15 17 18 19
There's 13 of them, so the probability of rolling a prime or multiple of 3 is 13/20
Probability of rolling a multiple of 3 is 6/20 = 3/10
Probability of rolling a prime is 8/20 = 2/5
Answer:
0.6 or [tex]\frac{12}{20}[/tex] or [tex]\frac{3}{5}[/tex]
Step-by-step explanation:
Here are the multiples of 3 (that are 20 or below) :
369121518Here are the prime numbers (that are 20 or below):
235711131719Some numbers are repeated in the two lists.
Here are all the numbers:
23567911121315181912 numbers are prime or a multiple of 3.
As a fraction it will be [tex]\frac{12}{20}[/tex], or simplified to [tex]\frac{3}{5}[/tex]
As a decimal it will be 0.6
I hope it helped!
Please help!!!!
Write three equations whose graphs are the same line as the equation -9x + 5y = -4.
9514 1404 393
Answer:
9x -5y = 4 . . . . standard form9x -5y -4 = 0 . . . . general formy -1 = 9/5(x -1) . . . . . point-slope formStep-by-step explanation:
The intercepts are ...
x-intercept = -4/-9 = 4/9
y-intercept = -4/5
Knowing these intercepts means we can put the equation in intercept form.
x/(4/9) -y/(4/5) = 1
The fractional intercepts make graphing somewhat difficult. However, we observe that the sum of the x- and y-coefficients is equal to the constant:
-9 +5 = -4
This means the point (x, y) = (1, 1) is on the graph. Knowing a point, we can write several equations using that point.
We like a positive leading coefficient (as for standard or general form), so we can multiply the given equation by -1.
9x -5y = 4 . . . . . standard form equation
Adding -4, so f(x,y) = 0, puts this in general form.
9x -5y -4 = 0
We can eliminate the constant by translating a line from the origin to the point we know:
9(x -1) -5(y -1) = 0
This can be rearranged to the traditional point-slope form ...
y -1 = 9/5(x -1)
Yet another equation can be written that tells you the slope is the same everywhere:
(y -1)/(x -1) = 9/5
These are only a few of the many possible forms of a linear equation.
The number (√5+2)/(√5-2)
is:
(a) a rational number
(b) an irrational number
(c) an integer
(d) a natural number
Answer:
b: irrational
Step-by-step explanation:
(√5+2)
-------------- is given.
(√5 - 2)
If we multiply numerator and denominator by (√5+2), we succeed in removing the square root symbol from the denominator:
(√5+2)(√5+2)
---------------------
(√5+2)(√5- 2)
and the denominator becomes 5 - 2, or 3. The denominator is now rational, but the numerator still involves the square root symbol, so overall the given number is irrational.
Membership in a digital library has a $5 startup fee and then costs $9.95 per month. Membership in a video streaming service costs $7.99 per monrh with no startup fee. Use vocabulary words to explain how this information could be used to write an expression for the total cost of both memberships after m months
Answer:
Wait ima ask my mom to help you with this.
Step-by-step explanation:
The temperature in an oven changes from 350 degrees to 362 degree. What is the percent increase in temperature, to the nearest tenth of a percent?
Answer:
3.4%
Step-by-step explanation:
Find the percent increase by dividing the difference in the temperatures by the original temperature, then multiplying it by 100:
((362 - 350) / 350) x 100
(12 / 350) x 100
= approximately 3.4
So, the percent increase in temperature was approximately 3.4%
Which angle pair relationship shows that two lines are parallel?
a. Two alternate interior angles are supplementary.
b. Two vertical angles are congruent.
c. Two corresponding angles are congruent.
d. Two adjacent angles are supplementary.
Answer: c
Step-by-step explanation:
What is the slope of the line that passes through the points (3, 8) and (8,13)? Write your answer in simplest form.
Answer:
1
Step-by-step explanation:
Allen went to the movies and bought one jumbo popcorn and two chocolate chip cookies for $5.00. Antonio went to the same movie and bought one jumbo popcorn and four chocolate chip cookies for $6.00. How much does one jumbo popcorn and one chocolate chip cookie cost
Answer:
cookie=0.5, popcorn=4
Step-by-step explanation:
1x+2y=5
1x+4y=6
cookie cost 0.5
popcorn cost 4
can you help me___________________________________
Someone help pleaseUpperbound
What is the length of side x in a 30-60-90 triangle where one side is the square root of 3 and the other side is unknown?
Answer:
The length of side x in a 30-60-90 triangle is 2√3.
Step-by-step explanation:
The numbers 30-60-90 are angles, so we need to find the side x of a right triangle with the following information:
θ: is one angle of the right triangle = 30°
α: is the other angle of the right triangle = 60°
a: is one side of the right triangle = √3
b: is the other side of the right triangle =?
x: is the hypotenuse of the right triangle =?
The length of the hypotenuse can be found by Pitagoras:
[tex] x^{2} = a^{2} + b^{2} [/tex] (1)
So, we need to find the side "b". We can calculate it with the given angles.
From the side "a" we have:
[tex] cos(\alpha) = \frac{a}{x} [/tex]
[tex] cos(60) = \frac{\sqrt{3}}{x} [/tex] (2)
From the side "b":
[tex] sin(\alpha) = \frac{b}{x} [/tex]
[tex] sin(60) = \frac{b}{x} [/tex] (3)
Now, we can calculate "b" by dividing equation (3) by equation (2).
[tex] tan(60) = \frac{\frac{b}{x}}{\frac{\sqrt{3}}{x}} [/tex]
[tex] b = tan(60)*\sqrt{3} = 3 [/tex]
Finally, we can find the length of the hypotenuse with equation (1):
[tex] x = \sqrt{a^{2} + b^{2}} = \sqrt{(\sqrt{3})^{2} + (3)^{2}} = 2\sqrt{3} [/tex]
Therefore, the length of side x in a 30-60-90 triangle is 2√3.
I hope it helps you!
Enter the degree of the polynomial below:
6x^6 + 9x^3 + 3x^2 - 4x^10 - 9x^5 - 5x^6
Answer:
10
Step-by-step explanation:
The highest exponent determines the degree of a polynomial.
– 6 (2x – 3) – 11
A: 12x 29
B:
7 12x
C:
12x 7
D:
7 12x
E: None of these
Answer:
12x + 7 is the answer
Step-by-step explanation:
Find the component form of AB with initial point A(1, -3) and terminal point B(1,3)
Answer:0,6 i took it
Step-by-step explanation:
What inspires you to make you accomplish your dream job/career
I'm not trying to be nosy just a question hopefully a kind and respectful one
I will give brainest to both ppl who answer and go on there profile and thank them
Answer:
i always think of my future...i want to be a doctor when i grow up and the prospect of growing up to help other people makes me motivated to help myself to reach that goal. Becoming a doctor is really hard work, but just focusing and visualizing my future helps me stay motivated.
If f(x)f(x) is an exponential function where f(3.5)=10f(3.5)=10 and f(7.5)=19f(7.5)=19, then find the value of f(13)f(13), to the nearest hundredth.
Answer:
f(13)≈45.92
Step-by-step explanation:
Each morning papa notes the birds feeding on his birdfeeder. So far this month he has seen 59 blue jays, 68 black crows, 12 red robins and 1 cardinal
what is the probability of a blue jaybeing the next bird papa sees?
A. 0.421
B 0.59
C. 0.059
D. 0.042
help please!
integrate the following:
[tex] \displaystyle \int \cos ^{3} (x) dx[/tex]
Answer:
i think its help..............
Answer:
[tex] \displaystyle \sin (x) - \frac{ { \sin}^{3} (x)}{3} + \rm C[/tex]
Step-by-step explanation:
we would like to integrate the following integration
[tex] \displaystyle \int \cos ^{3} (x) dx[/tex]
in order to do so rewrite
[tex] \displaystyle \int \cos ^{2} (x) \cos(x) dx[/tex]
we can also rewrite cos²(x) by using trigonometric indentity
[tex] \displaystyle \int( 1 - \sin ^{2} (x) )\cos(x) dx[/tex]
to apply u-substitution we'll choose
[tex] \rm \displaystyle u = \sin ^{} (x) \quad \text{and} \quad du = \cos(x) dx[/tex]
thus substitute:
[tex] \displaystyle \int( 1 - {u}^{2} )du[/tex]
apply substraction integration and:
[tex] \displaystyle \int 1du - \int {u}^{2} du[/tex]
use constant integration rule:
[tex] \displaystyle u - \int {u}^{2} du[/tex]
use exponent integration rule:
[tex] \displaystyle u - \frac{ {u}^{3} }{3} [/tex]
back-substitute:
[tex] \displaystyle \sin (x) - \frac{ { \sin}^{3} (x)}{3} [/tex]
finally we of course have to add constant of integration:
[tex] \displaystyle \sin (x) - \frac{ { \sin}^{3} (x)}{3} + \rm C[/tex]
Don’t really understand what to do need help please
Step-by-step explanation:
You need to multiple 3 for 15 and gain for12 times.
Compare which one is greater .
Write the greatest answer.
Similarly you need to do same process to next question according to power.
Answer:
27 & 16
Step-by-step explanation:
Just take like in example one:
3^15 and 3^12
You do
15-12=3
Then- 3^3=27!!
For the second:
4^10-4^8
10-8=2
4^2=16
Hope that's easy to understand!
What is the gradient of the graph shown?
Give your answer in its simplest form.
Answer:
1.5
Step-by-step explanation:
To find out the gradient (or the slope), we can use the formula
Gradient = (y2-y1)/(x2-x1), where (x1,y1) and (x2,y2) are any two points lying on the line.
Looking at the graph, we can take any two points and simply plug the coordinates in the equation. For instance, take (0,-2) and (2,1)
Therefore we get the gradient as (1- -2)/(2-0) = 3/2 or 1.5.
Feel free to ask any doubts you may have.
Hope this helps! :D
Susie begins a new program with 600 m on the first day each day she will increase her walk by 200 m how many kilometres will she walk on day 18 of her program
Answer: Susie walked 4000 kilometers on day 18 of her program
Step-by-step explanation:
The question explains an arithmetic progression of Susie's walk program
Now the nth term of an AP is given as
an = a1 + (n - 1 ) d
a1 =First term = 600 m
common difference , d =200
The 18th day of her program will be
a18 = 600+ (18 - 1 ) 200
a18 = 600+ 17 x200
a18 = 600+3,400
a18 = 4000
Rooms in a hotel are numbered from 1 to 19.
Rooms are allocated at random as guests arrive.
(a) What is the probability that the first guest to arrive is given a room which is a prime number?
(1 is not a prime number.)
(b) The first guest to arrive is given a room which is a prime number.
What is the probability that the second guest to arrive is given a room which is a prime number?
Answer:
a) 8/19 chance
b) 7/19 chance (I'm not 100% sure)
Step-by-step explanation:
A) since there are 8 prime numbers from 1-19 we can say that the probability is 8 over 19 or 8/19
Which statements about special quadrilaterals are true? Select all that apply.
An isosceles trapezoid can be broken into a rectangle and two triangles.
The area of a kite can be found by multiplying the length times the width.
After breaking a kite into two triangles of the same size and shape, find the height of the triangles by dividing the width by 2.
A kite can be broken into two triangles or a rectangle and a triangle.
A trapezoid is a quadrilateral with two pairs of parallel opposite sides.
Answer:
A and C
Step-by-step explanation:
I just answered the question.
Answer:
A and C
Step-by-step explanation:
Trust me
Find the probability that
x <= -3
Answer:
30%
Step-by-step explanation:
there are two numbers that fit in the x<=3 category, those being -3 and -5, so you add the two decimals for them (.17 and .13) to get .30 and move the decimal two times to the right to make it in percentage form.
The probability of P(x ≤ -3) is 0.30 or 30% if the probability table is provided.
What is probability?It is defined as the ratio of the number of favourable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.
We have given a probability table in the picture.
P(x ≤ -3) = P(x = -5) + p(x = -3)
From the table:
P(x ≤ -3) = 0.17 + 0.13
P(x ≤ -3) = 0.30 or 30%
Thus, the probability of P(x ≤ -3) is 0.30 or 30% if the probability table is provided.
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Angle E and angle H are supplementary. If angle E has a measure of 156 degrees, find the measure of angle H
Answer:
24 degrees
Step-by-step explanation:
Supplementary angles sum up to give 180°
E + H = 180°
156 + H = 180
H = 180 - 156
H = 24°
Consider points A(-4,3) and B(-1, 2) use the criterion for perpendicular to find the equation of the line that passes through A and is perpendicular to AB
Answer:
N/A NO DIAGRAM
N/A NO DIAGRAM
Step-by-step explanation:
N/A NO DIAGRAM
N/A NO DIAGRAM
The shapes of the horizontal cross-sections of the cylinder below are not all
congruent.
A. True
B. False
SUBMET
Answer:
False
Step-by-step explanation: