Answer:
y = -1/3x + 2Step-by-step explanation:
Given line
y = 3x - 3Perpendicular lines have negative-reciprocal slopes, so the line will be:
y = -1/3x + bUse the point (3, 1) to find b:
1 = -1/3(3) + b1 = -1 + bb = 2The line is:
y = -1/3x + 2The rainfall amount last year was 6 inches below normal. The rainfall this year was 13 inches more than last year. What is the difference between the rainfall amount this year and the normal amount of rainfall? (Hint: Draw a number line to help you visualize the scenario)
Answer:
7
Step-by-step explanation:
The term difference means to subtract. Therefore, 13in - 6in, is equal to 7 inches.
13-6=7
Hope this Helps!!!
Assume that no variable equals 0
1. c^12•c^-4•c^6
2. b^8/b^2
3. (a^4)^5
4. x^-2y/x^4y^-1
5. (a^2b/a^-3b^2)^-1
6. (x^2y/xy^3)^2
7. 1/2(-5a^2b^3)^2(abc)^2
8. m^7•m^8
9. 8m^3n^2/4mn^3
10. 2^3c^4t^2/2^2c^4t^2
help me please !
Step-by-step explanation:
When you multiply exponents of the same base (variable), add the exponents.
1. The exponents are 12 - 4 + 6 = 14 or c^14
When you divide exponents of the same base, subtract them.
2. 8 - 2 = 6 or c^6
When you raise a power to a power, you multiply the exponents.
3. 4 * 5 = 20 or c^20
When a number is raised to a negative exponent it can be re written like this x^-n = 1/x^n.
4. x^-2 * y / x^4 * y^-1; using the above information, rewrite everything to have positive exponents. If the negative exponent is in the denominator, then it becomes x^n/1
y * y / x^2 * x^4 ; then just add your exponents to simplify
y^2 / x^6
As we said before, a power raised to a power is exponent x exponent.
5. (a^2 * b) ^-1 / (a^-3 * b^2)^-1 ; as before a power raised to a power, multiply the powers.
a^-2 * b-1 / a^3 * b^-2 rewrite this as before, inverting negative exponents. a^3 / a^2 * b^1 * b^2 = a^3 / a^2 * b^3
Simolifynthe new expression to reduce the a variable by subtracting the bottom a^2 from the top a^3 and are left with
a / b^3
Work number 6 like 5, no negative exponents, so there won't be any inversions. Just multiply the outside power times every exponent, then do the division by subtracting exponents of like bases.
When figuring out the problems with constants, treat them like the variables. In number 7 the 5a^2 when raised to the 2nd power would be 5^2*(a^2)^2 = 25 a^4
Im sorry, out of time.
Alma wrote a phone app. She has noticed that 3\%3%3, percent of the users who download her app upgrade it the same day. Let NNN be the number of customers who download Alma's app until one upgrades it on the same day. Assume that the probability of each user's upgrades are independent. What type of variable is NNN?
Answer:
Geometric
Step-by-step explanation:
A geometric setting does not have a set number of trials, and the variable in question is the number of trials it takes to get the first success.
The upgrades are independent, and the probability of the customer upgrading is the same each time.
The type of variable NNN is Geometric
How to find how much percent 'a' is of 'b'?Suppose a number is 'a'
Suppose another number is 'b'
We want to know how much percent of 'b' is 'a'.
We are given that Alma wrote a phone app. She has noticed that 3%, percent of the users who download her app upgrade it the same day.
Let N be the number of customers who download Alma's app until one upgrades it on the same day.
A geometric does not have a set number of trials, and the variable in question is the number of trials it takes to get the first success.
The upgrades are independent, and the probability of the customer upgrading is the same every time.
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What is the easiest way to do the distributive property
2. How far is the bird from the worm? Round to the nearest whole number if necessary. (TEKS
8.7C-R)
A 60 ft
B 50 ft
50 ft
C 55 ft
D 61 ft
35 ft
lead has a density of 11.35g/cm'3. a lead ball weighs about 2kg. what is the radius of this ball
Answer:
The radius of the ball is 3.48 cm
Step-by-step explanation:
Density
The density of a substance is the mass per unit volume. The density varies with temperature and pressure.
The formula to calculate the density of a substance of mass (m) and volume (V) is:
[tex]\displaystyle \rho=\frac{m}{V}[/tex]
The density of lead is \rho=11.35\ g/cm^3 and the mass of a ball of lead is m=2 kg=2,000 g. We can calculate the volume by solving for V:
[tex]\displaystyle V=\frac{m}{\rho}[/tex]
[tex]\displaystyle V=\frac{2000\ g}{11.35\ g/cm^3}[/tex]
[tex]V=176.2115\ cm^3[/tex]
Since the shape of the object is a sphere, and the volume of a sphere of radius r is:
[tex]\displaystyle V=\frac{4}{3}\cdot \pi\cdot r^3[/tex]
We can solve for r and obtain:
[tex]\displaystyle r=\sqrt[3]{\frac{3V}{4\pi}}[/tex]
Substituting:
[tex]\displaystyle r=\sqrt[3]{\frac{3*176.2115}{4\pi}}[/tex]
[tex]\displaystyle r=\sqrt[3]{42.0674}[/tex]
[tex]\boxed{r=3.48\ cm}[/tex]
The radius of the ball is 3.48 cm
Find the missing side length
Alice gets a job selling boots, and is given the option of wages plus commission, or commission only. In the first option, she would earn $33 in wages for each day of work, plus $2.50 for every pair of boots sold. Under the commission only option, she would earn no wages, and $3.25 for every pair of boots sold. How many pairs of boots would Alice have to sell in one day to make the two options equal?
Answer:
44 pairs of boots
Step-by-step explanation:
As per two options given to Alice,
1). Wages of $33 for each day work + commission of $2.5 for every pair sold.
If Alice sells x pairs of boots in a day, then total amount earned by Alice,
= (33 + 2.5x)
2). Commission of $3.25 for every boot sold.
If Alice sold x pairs of boots, total earnings of the day = 3.25x
If earning of Alice is equal in both the plans,
(33 + 2.5x) = 3.25x
3.25x - 2.5x = 33
0.75x = 33
x = 44
Therefore, for the sales of 44 pairs of the boots Alice will earn equal by both the plans.
can someone solve this please
it is solving equations in algebra: x-6=4
|2n|-4=8 solve for n
Answer:
n = ± 6
Step-by-step explanation:
absolute value equations usually produce 2 solutions
to get the positive solution just solve normally: 2n - 4 = 8
2n = 12
n = 6
to get the negative solution you must take what is in the absolute value bars and multiply by negative one: -(2n) - 4 = 8
-2n - 4 = 8
-2n = 12
n = -6
Arya deals in clothing and accessories. She bought 10 shirts at a wholesale price of 1120 each and sold them
all at a profit of 40 percent.
What was the price Arya charged for the 10 shirts?
Answer:
15680
Step-by-step explanation:
Cost of 1 shirt: 1120
Cost of 10 shirts: 11200
Add 40% to the cost of 10 shirts:
40% + 100% = 140% = 1.4
1.4 * $11200 = 15680
Answer: 15680
I WILL GIVE YOU BRAINLYEST!! PLSS HELP ME ASAP!!
write about how you
would find the Lateral Surface
Area vs the Total Surface Area
of the Rectangular Prism shown.
*DO NOT SOLVE*
i need help with this question
Answer:
error occurred in Step 1 because 2/3 and 1/4 should have been multiplied instead of added; so answer would be x^1/6
Step-by-step explanation:
The probability that a baby will be a boy is 1/2. What is the probability that a family with five children has all boys
Answer:
1/10
Step-by-step explanation:
;)
I need help! ASAP please!
Answer:
60 f+80=287
Step-by-step explanation:
A theater is selling tickets for a performance. Mr. Smith purchased 8 senior tickets and 5 child tickets for $136 for his friends and family. Mr. Jackson purchased 4 senior tickets and 6 child tickets for $96. What is the price of each ticket?
Answer:
for the seniors, the answer is $12, and for the children, the answer is 8.
Step-by-step explanation:
What is the positive solution to 2x^2 - 4x - 30 = 0?
Answer:
x=-3 or x=5
Step-by-step explanation:
What is a decimal that is equivalent to the fraction 6/10
Answer:
0.60 or 0.6
Step-by-step explanation:
To convert you devide the two 6/10 is 0.6
0.6 is a decimal that is equivalent to the fraction 6/10
What is Number system?A number system is defined as a system of writing to express numbers.
A fraction represents a part of a whole.
The given fraction is 6/10.
The fraction is six by ten
In the given fraction is six and denominator is ten.
We need to convert 6/10 to the decimal which is equivalent.
10 is the divisor and 6 is the dividend.
6/10=0.60
Six by ten equal to zero point six
Hence, 0.6 is a decimal that is equivalent to the fraction 6/10
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Please help me with this question?
cos 2 * (x/2) = (sec(x) + 1)/(2sec(x))
Answer:
Answer below
Step-by-step explanation:
I really hope it works
Will give brainiest to the person who shows how to do the problems step by step (proportionally) and those with the correct answer
Questions (below the pictures):
Answer:
15. 1.125 hours = 1 hour 7 minutes 30 seconds
17. 3840 cal
18. 60 g
Step-by-step explanation:
15.
8 miles is to 3 hours as 3 miles is to x hours
8/3 = 3/x
8x = 3 * 3
8x = 9
x = 1.125
Answer: 1.125 hours = 1 hour 7 minutes 30 seconds
17.
1/2 avocado is to 160 cal as 12 avocados are to x cal
(1/2)/160 = 12/x
(1/2)x = 12 * 160
x = 24 * 160
x = 3840
Answer: 3840 cal
18.
We need the same units. We convert 2 1/2 cups into tablespoons.
1 cup = 16 tablespoons
2 1/2 cups = 2 1/2 * 16 tablespoons = 2.5 * 16 tablespoons = 40 tablespoons
Now we start the proportion.
1.5 g to 1 Tbsp is as x is to 40 Tbsp
1.5/1 = x/40
x/40 = 1.5
x = 1.5 * 40
x = 60
Answer: 60 g
What is the value of the expression? 8.5 - (-4.8) - 7
Answer:
6.3
Step-by-step explanation:
8.5 - (-4.8)
Let's focus on - (-4.8)
if a negative number is subtracted, it reverses itself
In other words, if a negative number is being subtracted, it is the same as being added as a positive number
So we change the equation to
8.5 + 4.8 = 13.3
Now we subtract 7 from 13.3
Since positive 7 is being subtracted, the rule for -4.8 does not apply to it
13.3 - 7 = 6.3
What is the difference between the mean of the population and the mean of the sample? 0.24 0.36 2.40 2.64
Answer: 0.24
Step-by-step explanation:
Answer:
0.24
Step-by-step explanation:
i took the test i got it right!
What is the equation of a line with slope -3 and goes through point (2,-4)?
Answer:
y= -3x+2
Step-by-step explanation:
well there isn't really a step by step explanation but if you don't believe me you can use desmos graphing calculator to check my answer :))
Answer:
....
Step-by-step explanation:
y - 2x =3 Solve for Y
Answer:Add x to both sides of the equation.y=3+2x
Step-by-step explanation:
could y be 9 im lost
Write and solve a proportion to answer the question.
42 is what percent of 80?
42
р
100
80
p= %
Answer:
the ans. is 52.5 percent
Solution of this system of equations. (Write it as a point)
Multiply
(x^2+4x+3)(2x^2+3-4)
Find the volume of this prism.
9 cm
12 cm
6 cm
PLEASE HELP
Answer:
324cm³
Step-by-step explanation:
Volume of a triangular prism = (height x width x base length) / 2
We are given:
Height = 9cm Base length = 6cmWidth = 12cmIf we plug this into the formula we get (9 x 6 x 12) / 2
==> multiply numbers in parenthesis
volume = 648/2
==> simplify division
volume = 324cm³
Solve this question for BRAINLIEST!
Answer:
3x+1
Step-by-step explanation: