Answer:
Step-by-step explanation:
So you are combining the numbers that look alike practically..
They are asking for how many like term, so you would put how many numbers you see that are different.
-12x - 4x - 72 + 10y^3
-16x - 72 + 10y^3
That is as far as you could go.
There are 3 numbers that look different.
When I say this I mean that one number has no variable, one number has a variable, and another number has a variable and it’s cubed.
So that would be 3 like terms.
And for the simplified form, it’s
-16x - 72 + 10y^3
Hope this helps
write a sentence describing the meaning of the statement c(2)=40
Step-by-step explanation:
A number,c times two equal forty.
Answer:
The following statement means that the cost of 2 months' worth of gigabytes costs $40.
Step-by-step explanation:
Go shop Quelenasboutique on Esty!
Find X
Please help asap!!
May you please answer these four questions for me? This is all i ask of you
Answer:
1. 151.29 in.²
2. 413 km²
3. 75 cm²
Step-by-step explanation:
1. 12.3 in. × 12.3 in. = 151.29 in.²
2. 17.5 km × 23.6 km = 413 km²
The third is a parallelogram. To find the area of a parallelogram you multiply the base and height.
3. 15 cm × 5 cm = 75 cm²
For further calculation steps, look at these images:
These images are about multiplication and the decimal numbers in the problems have been converted to fractions.
describe how we could create our own zero pair.
Solve the equation and enter the value of x below.
X +
+(-8) = 2
X =
Answer:
x = 10.
Step-by-step explanation:
x + (-8) = 2.
First, isolate x by adding 8 to both sides.
x = 8 + 2.
Next, solve.
x = 10.
Finally, you can come to the conclusion that x = 10. Always plug in your answer to make sure it works.
10 - 8 = 2.
2 = 2.
Is anybody else here to help me ??
Answer:
[tex]\cot(x)+\cot(\frac{\pi}{2}-x)[/tex]
[tex]\cot(x)+\tan(x)[/tex]
[tex]\frac{\cos(x)}{\sin(x)}+\frac{\sin(x)}{\cos(x)}[/tex]
[tex]\frac{1}{\sin(x)}(\cos(x)+\sin(x)\frac{\sin(x)}{\cos(x)})[/tex]
[tex]\csc(x)(\cos(x)+\sin(x)\frac{\sin(x)}{\cos(x)})[/tex]
[tex]\csc(x)[\frac{\cos(x)\cos(x)}{\cos(x)}+\sin(x)\frac{sin(x)}{\cos(x)}][/tex]
[tex]\csc(x)[\frac{\cos(x)\cos(x)+\sin(x)\sin(x)}{\cos(x)}][/tex]
[tex]\csc(x)[\frac{\cos^2(x)+\sin^2(x)}{\cos(x)}][/tex]
[tex]\csc(x)[\frac{1}{\cos(x)}][/tex]
[tex]\csc(x)[\sec(x)][/tex]
[tex]\csc(x)[\csc(\frac{\pi}{2}-x)][/tex]
[tex]\csc(x)\csc(\frac{\pi}{2}-x)[/tex]
Step-by-step explanation:
I'm going to use [tex]x[/tex] instead of [tex]\theta[/tex] because it is less characters for me to type.
I'm going to start with the left hand side and see if I can turn it into the right hand side.
[tex]\cot(x)+\cot(\frac{\pi}{2}-x)[/tex]
I'm going to use a cofunction identity for the 2nd term.
This is the identity: [tex]\tan(x)=\cot(\frac{\pi}{2}-x)[/tex] I'm going to use there.
[tex]\cot(x)+\tan(x)[/tex]
I'm going to rewrite this in terms of [tex]\sin(x)[/tex] and [tex]\cos(x)[/tex] because I prefer to work in those terms. My objective here is to some how write this sum as a product.
I'm going to first use these quotient identities: [tex]\frac{\cos(x)}{\sin(x)}=\cot(x)[/tex] and [tex]\frac{\sin(x)}{\cos(x)}=\tan(x)[/tex]
So we have:
[tex]\frac{\cos(x)}{\sin(x)}+\frac{\sin(x)}{\cos(x)}[/tex]
I'm going to factor out [tex]\frac{1}{\sin(x)}[/tex] because if I do that I will have the [tex]\csc(x)[/tex] factor I see on the right by the reciprocal identity:
[tex]\csc(x)=\frac{1}{\sin(x)}[/tex]
[tex]\frac{1}{\sin(x)}(\cos(x)+\sin(x)\frac{\sin(x)}{\cos(x)})[/tex]
[tex]\csc(x)(\cos(x)+\sin(x)\frac{\sin(x)}{\cos(x)})[/tex]
Now I need to somehow show right right factor of this is equal to the right factor of the right hand side.
That is, I need to show [tex]\cos(x)+\sin(x)\frac{\sin(x)}{\cos(x)}[/tex] is equal to [tex]\csc(\frac{\pi}{2}-x)[/tex].
So since I want one term I'm going to write as a single fraction first:
[tex]\cos(x)+\sin(x)\frac{\sin(x)}{\cos(x)}[/tex]
Find a common denominator which is [tex]\cos(x)[/tex]:
[tex]\frac{\cos(x)\cos(x)}{\cos(x)}+\sin(x)\frac{sin(x)}{\cos(x)}[/tex]
[tex]\frac{\cos(x)\cos(x)+\sin(x)\sin(x)}{\cos(x)}[/tex]
[tex]\frac{\cos^2(x)+\sin^2(x)}{\cos(x)}[/tex]
By the Pythagorean Identity [tex]\cos^2(x)+\sin^2(x)=1[/tex] I can rewrite the top as 1:
[tex]\frac{1}{\cos(x)}[/tex]
By the quotient identity [tex]\sec(x)=\frac{1}{\cos(x)}[/tex], I can rewrite this as:
[tex]\sec(x)[/tex]
By the cofunction identity [tex]\sec(x)=\csc(x)=(\frac{\pi}{2}-x)[/tex], we have the second factor of the right hand side:
[tex]\csc(\frac{\pi}{2}-x)[/tex]
Let's just do it all together without all the words now:
[tex]\cot(x)+\cot(\frac{\pi}{2}-x)[/tex]
[tex]\cot(x)+\tan(x)[/tex]
[tex]\frac{\cos(x)}{\sin(x)}+\frac{\sin(x)}{\cos(x)}[/tex]
[tex]\frac{1}{\sin(x)}(\cos(x)+\sin(x)\frac{\sin(x)}{\cos(x)})[/tex]
[tex]\csc(x)(\cos(x)+\sin(x)\frac{\sin(x)}{\cos(x)})[/tex]
[tex]\csc(x)[\frac{\cos(x)\cos(x)}{\cos(x)}+\sin(x)\frac{sin(x)}{\cos(x)}][/tex]
[tex]\csc(x)[\frac{\cos(x)\cos(x)+\sin(x)\sin(x)}{\cos(x)}][/tex]
[tex]\csc(x)[\frac{\cos^2(x)+\sin^2(x)}{\cos(x)}][/tex]
[tex]\csc(x)[\frac{1}{\cos(x)}][/tex]
[tex]\csc(x)[\sec(x)][/tex]
[tex]\csc(x)[\csc(\frac{\pi}{2}-x)][/tex]
[tex]\csc(x)\csc(\frac{\pi}{2}-x)[/tex]
the cost of buying shoes is shown in the table below
Answer:
Part AThe graph is attachedPart BFor zero number the cost is zero and the rate of change is 25.
0 - 0, 1 - 25, 2 - 50, 3 - 75, 4 - 100This is the indication of the proportional relationship
Part CIt is a constant change as the difference is same for each step - 25The ordered pair (1, 25) shows the unit rate is $25 per pair of shoesPart DConstant of proportionality is 25Part EThe equation is:
y = 25x,where y - cost, x - number of pairs of shoes, 25 - constant of proportionality
The dimensions of a smaller rectangle are 3 ft by 9 ft. The dimensions of a larger rectangle are sit by 11 ft. Find the ratio of the perimeter of the targer rectangle to the perimeter of the smaller rectangle.
Answer:
I think that the ratio would be 12:11
Step-by-step explanation:
Because if you multiply 3 and 9 then you do 12:11
Picking Green! This is a game similar to the one you played in class, where you try
to pick as many green chips as possible before picking one white chip. One bag
has the same number of green and white chips, and the ratio of green to white
chips in the second bag is unknown. Laura and Carly completed an experiment,
Answer:
the first is a 50% chance
the second is not possible to know
Step-by-step explanation:
what is the slope of (1,3) and (1,0)
Answer:
-3
Step-by-step explanation:
you can tell that the awnser is negative because the coordinates of Y go down from 3 to 0.
What is the measure of angle H?
A. 80°
B. 75°
C. 110°
D. 95°
Answer:
A. 80
Step-by-step explanation:
T° = H°
if you rotated the first shape to match the second one, H° would fall on T°
I really need help please
Answer:
b= 64 m
Step-by-step explanation:
[tex]b^{2}[/tex] + [tex]48^{2}[/tex] = [tex]80^{2}[/tex]
[tex]b^{2}[/tex] = [tex]80^{2}[/tex] - [tex]48^{2}[/tex]
[tex]b[/tex] = [tex]\sqrt{80^{2}-48^{2} }[/tex]
= [tex]64[/tex] m
Answer:
is it math
Step-by-step explanation:
omg I really really really hate math
prove the indicated operations.
(3-i)(4+3i)(5-2i)
Answer:
I hope if one of these help.
Step-by-step explanation:
(4 - 3i) + (2 + i )(5 - 2i)
=16 - 2i
If you simplify your answer will be: 16−2i
1) (3+2i)-(1-6i)
2) 4i+3-6+i-1
3) 5i(3-2i)
4) (5+3i)(2-3i)
5) (2+i)(2-i)
1) (3 + 2i) - (1 - 6i)
3 + 2i - 1 + 6i
2 + 8i
2) 4i + 3 - 6 + i - 1
5i - 3 - 1
5i - 4
3) 5i ( 3 - 2i )
15i - 10i^2
15i - 10 ( -1 )
15i + 10
4) ( 5 + 3i ) ( 2 - 3i )
10 - 15i + 6i - 9i^2
10 - 9i - 9i^2
10 - 9i - 9 ( -1 )
10 - 9i + 9
- 9i + 19
5) ( 2 + i ) ( 2 - i )
4 - 2i + 2i - i^2
4 - i^2
4 - (-1)
5
1) 2 + 8i
2) -4 + 5i
3) 10 + 15i
4) 19 - 9i
5) 5
The operations with imaginary numbers are equal to those of the real numbers considering i as a variable, but with a property that allows to simplify the expression more, that is that i squared equals -1. Taking this property into account, we solve the expressions like this:
1) (3 + 2i) - (1-6i) = 3 + 2i - 1 + 6i = 2 + 8i
2) 4i + 3-6 + i-1 = 5i - 4 = -4 + 5i
3) 5i (3-2i) = 5i*3 - 5i*2i = 15i - 10i^2 = 15i - 10(-1) = 15i + 10 = 10 + 15i
4) (5 + 3i) (2-3i) = 5*2 - 5 3i + 3i*2 - 3*3i^2 = 10 - 15i + 6i - 9i^2 = 10 - 9i - 9(-1) = 10 - 9i + 9 = 19 - 9i
5) (2 + i) (2-i) = 2*2 - 2*i + 2*i - i^2 = 4 - 2i + 2i - (-1) = 4 + 1 = 5
I hope one of these help:)
What is the Angled measurement of ∠B
Answer: The measurement of angle B is 50 degrees
Step-by-step explanation: we know all triangles add up to 180 degrees so substitute 40 with a degrees and solve
Step-by-step explanation:
According to the Triangle Sum Theorem, all angles in triangle are sum of 180⁰. This means that m<a + m<b + m<c = 180⁰. You will first solve for a.
m<a + m<b + m<c = 180⁰
2a⁰ + a + 10⁰ + a⁰ = 180⁰ combine like terms.
2a⁰ + a + a⁰ + 10⁰ = 180⁰
4a⁰ + 10⁰ = 180⁰ subtract 10 from both sides.
4a⁰ + 10⁰ - 10⁰ = 180⁰ - 10⁰
4a⁰ = 170⁰ Divide 4 from both sides.
4a⁰ / 4 = 170⁰ / 4
a = 42.5⁰
Now that you found a, plug 42.5⁰ in place of in all angles and solve.
m<a :-
2a⁰
2(42.5)⁰
85⁰
m<b :-
a + 10⁰
42.5⁰ + 10⁰
52.5⁰
m<c :-
a⁰
42.5⁰
m<a = 85⁰
m<b = 52.5⁰
m<c = 42.5⁰
Remember that all angle must sum up to 180⁰ in a triangle. So we will now add all of our angle to find it if it equals 180⁰.
m<a + m<b + m<c = 180⁰
85⁰ + 52.5⁰ + 42.5⁰ = 180⁰
180⁰ = 180⁰
Thus, m<b = 52.5⁰.
Hope this helps, thank you :) !!
How much must be deposited into an account that pays 12.2% annual interest compounded quarterly to receive $13,422 after 5 years.
Answer:
$7,359.65
Step-by-step explanation:
The computation of the amount that to be deposited is shown below:
Here we have to calculate the present value
As we know that
Present value = future value ÷(1+ rate of interest)^years
where,
rate of interest = 12.2% ÷ 4 = 3.05%
And, the years is = 5 × 4 = 20
Now the present value is
= $13,422 ÷ (1+ 3.05%)^20
= $7,359.65
Which values are solutions to the inequality below? Check all that apply.
x^2<8
A. -2
B. 3
C. 4
D. 2.
which expression is equivalent to the given expression?
Answer:
4ln x +ln 3-lnx
4ln x -ln x+ln3
3ln x+ln 3
ln(3x+3)is equivalent.
Okay, I and my mom do not know how to do this- please help-
Distribution Skill
3 (-5y²- 3)
Help p-p
Answer:
Step-by-step explanation:
this is the start of your mad algebra skilz.. it does take constant practice, like anything you want to get better at :) keep trying
this is called "Distribution" and is used often
3(-5[tex]y^{2}[/tex] -3)
-15[tex]y^{2}[/tex] +9
if you need more explanation just put your questions at the comments of this problem ... i'll see them :)
I just failed algebra for the third time someone help pls
Just tell me what to do
Answer:
study lol
Step-by-step explanation:
a jogger runs 8 miles north and then 5 miles west what is the shortest distance to the nearest tenth of a mile he must travel to return to his starting point
For their summer jobs, Amanda and Julie are babysitting. Amanda starts with $150 in her savings account and
earns $15 per week. Julie starts with $200 in her savings account, and earns $5 per week. Use the following
equations to determine the number of weeks they will have the same amount of money?
Amanda's Equation: y = 15x + 150
Julie's Equation: y = 5x + 200
#28
Easy question!!! Solve for x.
Answer:
3
Step-by-step explanation:
Answer:
3
Step-by-step explanation:
yes
Which of the following best represents pi for the circle below?
Answer:
Pi ~ 3.14
That is probably the best measure.
Step-by-step explanation:
Fill in the blanks to the picture above
t/3 = 11 solve equation and check souloution what is t
Answer: t=33
Step-by-step explanation:
Answer:
t = 33
Step-by-step explanation:
t/3 = 11
t = 11 × 3
t = 33
Miguel has a ball of modeling clay that has a diameter of 3.5 centimeters. The cylindrical container it is placed in has a base area of 7.1 square centimeters and a height of 5 centimeters. What is the volume of empty space in the container?
Answer:
48.1 cubic meters or 48100000 cubic centimeters
Step-by-step explanation:
Firstly we need to find the radius.To find that we divide the diameter by two.3.5÷2=1.75
Volume of Cylinder=Pi×radius squared×height
Lastly 3.14×1.75×1.75×5=48.1
I hope this helps you in any way:)
A soup kitchen cooks up a total of 200 cups of soup. If their standard serving size is 2 1/2 cups, how many servings can they hand out, at most?
There were 30 pairs of jeans on sale for 2/3 of the regular price.
The regular price was $36. What was the sale price?
Answer : $36
Explanation:
To find the sale price we can set up a proportion. 25/100 = x/48. We keep the 100 and 48 both on the bottom of the fraction since they represent the "whole". x represents the discount off the full price of the dress. To solve this proportion, we cross multiply, yielding 48 * 25 = 100x. Alternatively, if you notice that 25/100 simplifies to 1/4, we can use 1/4 in our proportion instead of 25/100, thus, 1/4 = x/48. Then, cross multiplying, we get 48 = 4x, so x = 12. Then we subtract this discount from the original price yielding 48 – 12 = 36; thus, she paid $36 for the dress.
25% = 25/100
25100=x48
14=x48
(1) * (48) = (4) * (x)
48 = 4x
(48)/4 = (4x)/4
12 = x
The discount is $12.
$48 – $12 = $36
This is my question, if you can solve this in under 2 minutes you are skilled!
Answer:
they both ate the same amount
Step-by-step explanation:
tito
1/4+3/8+1/2= 1 1/8
luis
5/8 + 1/2= 1 1/8
Fifteen pencils are sold for $750. what is the cost for 1 pencil ?
a. 20
b.50
c.30
d.100
Answer:
b) 50
Step-by-step explanation:
750/15 = 50