Answer:
n = x + 8
Step-by-step explanation:
Using the rules of exponents
[tex]a^{m}[/tex] × [tex]a^{n}[/tex] = [tex]a^{(m+n)}[/tex]
[tex](a^m)^{n}[/tex] = [tex]a^{mn}[/tex]
Then
[tex]3^{x}[/tex] × [tex]9^{4}[/tex] = [tex]3^{n}[/tex]
[tex]3^{x}[/tex] ×[tex](3^2)^{4}[/tex] = [tex]3^{n}[/tex]
[tex]3^{x}[/tex] × [tex]3^{8}[/tex] = [tex]3^{n}[/tex]
[tex]3^{x+8}[/tex] = [tex]3^{n}[/tex]
Since bases on both sides are equal, both 3, then equate exponents
n = x + 8
Question 12 Objective: Given an acute angle of a right triangle, label the hypotenuse, opposite, and adjacent sides. What side is opposite to angle R? What side is adjacent to angle R? R S
Answer:
Opposite: Line SQ
Adjacent: Line SR
Hypotenuse: Line RQ
Step-by-step explanation:
A swimming pool already has 35 liters of water. It is being filled with 1.5 liters of water per minute. Which equation can be used to represent the amount of water in the pool, y, after x minutes?
Answer:
35x + 1.5
Step-by-step explanation:
Ms. Tyson has a part time job selling cars. She earns a commission of 0.6% on all her sales. If her sales for last week was $281,634 how much was her commission check?
Based on the information given her commission check is $1,689.8.
Using this formula
Commission check=Commission earned× Sales
Where:
Commission earned=0.6% or 0.006
Sales=$281,634
Let plug in the formula
Commission check= 0.006×$281,634
Commission check=$1,689.8
Inconclusion her commission check is $1,689.8.
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A, B, C and D are four towns. B is 30 kilometres due east of A. C is due 30 kilometres north of A. D is due 45 kilometres due south of B. Calculate the bearing of D from B
ONLY ANSWER QUESTION B PLEASE
Giving lots of points
I will give brainlist
NO FRAUDS
Answer:
213.7°
Step-by-step explanation:
The bearing of B from D is angle ADB, Thus, ∠ADB = arctan(30/45) ≈ 33.7°
The bearing of D from B is that angle plus 180°, Thus, 180° +33.7° = 213.7°
-----------------------------------------------------------------------------------------------------------
Part A: 135
Part B: 213.7
------------------------------------------------------------------------------------------------------------
[RevyBreeze]
MATE!
213.7°
The bearing of B from D is angle ADB, Thus, ∠ADB = arctan(30/45) ≈ 33.7°
The bearing of D from B is that angle plus 180°, Thus, 180° +33.7° = 213.7°
Part A: 135
Part B: 213.7
4 ^ 5 (45 - 15) 3 / 12
Answer:
2/4
Step-by-step explanation:
3x-9y=-7 ; 2y-6x=8 elimination
Answer:
x=-29/24
y=3/8
Step-by-step explanation:
3x-9y= -7 ---A
2y-6x= 8----B
multiply eq A by 2
6x-18y=-14
-6x+2y=8
Add both equations, so you eliminate x since 6x+(-6x) = 0
-18y+2y= -16y
-14+8=-6
so you have
-16y=-6
y=3/8
now substitute this back to eq B, (you can use eq A as well if you like)
2(3/8)-6x=8
3/4-6x=8
-6x=29/4
x=-29/24
A triangle has an area of 160 square inches and the base of the triangle is 40 inches. What is the height of the triangle?
Answer:
8 inches
Step-by-step explanation:
h = 2 A/b
A = 160
b = 40
160/40 = 4
2 x 4 = 8 inches
The height of the triangles is 8in.
hope this helps!! p.s. i really need brainliest :)
What is the total volume of both storage spaces if one side of the large storage space is 4 feet long?
The total volume of both storage is 76 ft³
What is Volume of cube?The number of cubic units that a cube totally occupies is determined by its volume. The cubic unit of measurement for the volume of a cube includes centimetres³, metres³, inches,³ feet³, etc.
A solid three-dimensional shape with six square faces or sides is known as a cube. The total amount of space a cube takes up is its volume. The cube's square form means that all of its sides are square, and as a result, all of its edges will be of equal length. As a result, the cube's length, breadth, and height are all equal.
The formula to compute the volume of cube is a³; where 'a' is the edge of the cube.
Given:
Larger box volume = s³
smaller box volume = 12 ft³
Now, the edge of larger box = 4
So, volume of larger box
= 4 x 4 x 4
= 64 ft³
Hence, the total volume is = 64 +12 = 76 ft³
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How can the careers or hobbies of your family members help you earn
scholarship awards?
The careers or hobbies of my family members can help me earn scholarship awards as some employers and associations offer scholarships to participants and family members.
That is, certain hobbies, skills or careers that members of my family have may involve them in certain jobs or groups that, in turn, offer the possibility of accessing scholarships and other benefits.
Thus, social and labor groups always tend to expand the opportunities of those who participate in them, as well as those of their closest people.
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Which of the following is the estimated product of 45 and 50? no links please
Answer:
3500
Step-by-step explanation:
Hello, you need to eliminate fractions in numbers in such questions. So you have to round. If we round the number 45, we get 50. We don't need to round 50 because 50 has no fractions.
1 - 45 - - > 50
2- 50 - - > no change
3- 50 × 50 = 50² = 3500
(Also, if someone sends you an answer with a link when you ask a question, don't click on that link. I came across it and analyzed it, the link is not secure. To stay safe, you can scan unfamiliar links with virustotal.com.)
Stay safe :)
levi finds a skateboard that sells 139.99. the store charges 6% sales tax about how much money will he have to spend for his skateboard?
The amount Levi spends on this skateboard is $148.39.
Tax is an amount levied on goods and services by the government. Taxes increases the price of goods and services.
The amount Levi spends on this skateboard = value of the tax + cost of the skateboard
value of the tax = 6% x $139.99
0,06 x $139.99 = $8.40
The amount Levi spends on this skateboard = $8.40 + $139.99 = $148.39
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Find the slope given two points: (-9, -2) and (-5,0)
Answer:
1/7
Step-by-step explanation:
Consider the line passing through these two points. The increase in x (run) from the first to the second is 14; the increase in y (rise) is 2.
Thus the slope of this line is m = rise/run = 2/14, or m = 1/7
Answer:
[tex]m = \frac{1}{2}[/tex]
Step-by-step explanation:
To find the slope using two given sets of coordinates, the following function can be used:
[tex]m = \frac{y2-y1}{x2 - x1}[/tex]
Where x1,y1 are one set of coordinates and x2,y2 are the other set:
[tex]m = \frac{0 - (-2)}{-5 - (-9)}\\[/tex]
[tex]m = \frac{0 + 2}{-5 + 9}[/tex]
[tex]m = \frac{2}{4}[/tex]
This can be simplified down to:
[tex]m = \frac{1}{2}[/tex]
Hope this helps!
Please help me solve this problem asap!
Dilation and rotation.
can someone please assist me in these equations!?!?! pls
A circle has circumference 200π feet. What is the radius of the circle? please explainn
Answer: 100 feet
Step-by-step explanation: Circumference is found using the formula C = 2πr. We can also use C = πd because diameter is two times the radius. Now that we know this, we can see that the diameter in your problem is 200 which means the radius is 200/2 or 100 feet. Hope this helps!
Would appreciate brainly <3
there are 5 crayons 4 pencils and 6 erasers. what is the number of crayons to total school supplies
Answer:
5 crayons to 15 school supplies
Step-by-step explanation:
since its supplies in general, add 5 crayons, 4 pencils, and 6 erasers to get 15 total
Factor the expression
n^2-15n+56
Answer:
(n-8)(n-7) this is the answer I hope it helped you
Answer:
(x - 7)(x - 8)
Step-by-step explanation:
Factor this into the form:
(x +/- a)(x +/- b)
As the third term is a positive and the second is negative, we know that the two operators are subtract:
(x - a)(x - b)
Find the factors of 56:
1 56
2 28
4 14
7 8
The two factors we need will add up to 15, so this is 7 and 8. This means the factor form is:
(x - 7)(x - 8)
Hope this helps!
14. The population of Booneville was 8745 in 2009, but dropped to 7913 in 2011. Find the
percent of decrease in population.
Answer:
The U.S. population 65 and older is now the largest in terms of size and percent of the population, compared with any previous census, according to a new 2010 Census brief [PDF] released today from the U.S. Census Bureau on the nation's older population. The group grew at a faster rate than the total population between 2000 and 2010.
According to the 2010 Census, there were 40.3 million people 65 and older on April 1, 2010, increasing by 5.3 million since the 2000 Census when this population numbered 35.0 million. The percentage of the population 65 and older also increased during the previous decade. In 2010, the older population represented 13.0 percent of the total population, an increase from 12.4 percent in 2000.
65 and Older Population Grew Faster than Total Population
Between 2000 and 2010, the population 65 and older grew 15.1 percent, while the total U.S. population grew 9.7 percent. The opposite happened between 1990 and 2000 when the growth of the older population was slower than the growth of the total population, with growth rates of 12.0 percent and 13.2 percent, respectively.
Population Size and Growth Varied Among the Older Age Groups
Examining the growth of 10-year age groups within the older population shows that 85- to 94-year-olds experienced the fastest growth between 2000 and 2010. This group grew by 29.9 percent, increasing from 3.9 million to 5.1 million.
Among five-year age groups in the older population, 65- to 69-year-olds grew the fastest. This age group grew by 30.4 percent, rising from 9.5 million to 12.4 million. The 65- to 69-year-old group is expected to grow more rapidly over the next decade as the first baby boomers start turning 65 in 2011.
The only older population age group to decline between 2000 and 2010 was the 75- to 79-year-old age group. This group decreased by 1.3 percent from 7.4 million to 7.3 million. The changes in this group mainly reflect the relatively low number of births during the early 1930s as fewer numbers of people entered these ages between 2000 and 2010.
Step-by-step explanation:
92% of what number is 30?
Please answer quick!
Answer: 32.61
Step-by-step explanation:
92/100 × x = 30
x = 30 × 100/92
x = 32.61
On this number line, zero represents sea level. Plot the following points based on the description provided by dragging and dropping the dots to the appropriate locations on the number line.
1.5 above sea level
absolute value of −4.5 −2 opposite of 4 absolute value of 1 2.5 below sea level greatest common factor of 8 and 12 −(−3) −3.5 Opposite of −5
I will give you brainleist and 50 plus points
Answer:
why didn't nobody answer this its so many points
Step-by-step explanation:
3.5 + 5 + 4 + 8.5 = 21
Viviana sells handmade necklaces for $12.50 and bracelets for $10.50. On Tuesday,
she sold 24 pieces of jewelry and made $288. How many of each type of jewelry did
she sell?
x= Necklaces
y= Bracelets
Answer:
brainlest = answer
Step-by-step explanation:
Find the measures of angles x and y in the figure.
y = 90° (linear pair)
x = 180° - (50° + 90°) [Angle Sum Property]
x = 180° - 140°
x = 40°
=》 x = 40° & y = 90°
______
Hope it helps ⚜
y=90°
x=40°
Step-by-step explanation:
y=90 because its in a linear pairx= 40 because of angle-sum property (180-50-90=40)There are two bowls. One of them has 60gems and the other has 40gems. Some of them are red. All the gems from the two bowls are now put into a third bowl. What fraction of the gems in the third bowl will be red?.
the base of a triangle is five less than twice it’s height, if the area of the triangle is 6 cm^2, find the length of the base
Answer:
Base = 3 cm
Step-by-step explanation:
Area of a triangle = [tex]\frac{1}{2} bh[/tex]
Let h = height
base = 2 times the height - 5; b = 2h-5
Area = 6 cm²
A = [tex]\frac{1}{2}bh[/tex]
[tex]6 =\frac{1}{2}(2h - 5)(h)[/tex] Multiply 2h(h) -5(h)
[tex]6 (2) = 2(\frac{1}{2})(2h^{2} - 5h[/tex] Multiply both sides by 2 to remove the fraction
12 = 2h²- 5h
2h ² - 5h - 12 = 0 Set the equation = 0 and factor
(2h + 3)(h - 4) = 0
2h + 3 = 0 or h - 4 = 0
2h = -3 h = 4
h = -3/2 or h = 4 Answer can not be negative so h = 4cm
The base is 2(4) - 5; The base = 8 - 5; base = 3 cm
What is the missing angle ?
What are the sums for both of those?
Please help!!! 30 points and brainliest!!
Solve for ‘x’
-6x = -5x - 9
[tex]-6x = -5x -9 \\\\\implies -6x +5x = -9 \\\\\implies -x = -9 \\\\\implies x =9[/tex]
(btw when it just has the "-" that is a line to separate them and for the -x = -9, they are divided by -1 sorry if that confused you before.)
Answer:
x = 9
Step-by-step explanation:
-6x = -5x -9
+5x +5x
----------------
-x = -9
--- ----
-1 - 1
-------------
x = 9
Hope this helps!!^^ plz mark brainliest?
please answer the question and how you answered it NO LINKS AND NO WEBSITES
Answer:
y= 27-6x
Step-by-step explanation:
For the first equation you add 6x on both sides which will leave us at
-y=-27+6x. You then divide both sides by a -1 to make the y positive so then it'll give us the equation y= 27-6x . For the second equation subtract 18x on both sides which will leave us with the equation 3y= 81-18x . Divide each side by 3 to get the y by itself. Then the equation will be y=27-6x
what is the slope of the line that contains these points x- -1,0,1,2 y- 10,18,26,34
Answer:
The slope is 8
Step-by-step explanation:
find the equation of a line perpendicular to y=x-3 that contains the point (2,1)
Answer:
y = -x + 3
Step-by-step explanation:
y = x - 3 This equation has a slope of 1
A line that would be perpendicular to the above line would then need a slope of -1
If the line has a slope of -1 and passes through (2, 1) then we can plug into
y = mx + b to get the 'b' value
1 = (-1)(2) + b
1 = -2 + b
3 = b
Equation would be y = -x + 3