Answer:
yes
Step-by-step explanation:
3x × 2x can be broken down as
3 × x × 2 × x = 3 × 2 × x × x = 6 × x² = 6x²
Find functions f and g so that h(x) = (f ∘ g)(x). h(x) = (6x - 14)8
[tex]h(x)=(6x-14)^8=[g(x)]^8\\\\f(x)=x^8\\\\g(x)=6x-14\\\\(f\ \circ\ g)(x)=(6x-14)^8[/tex]
Can someone please please help me?? :(
A driver descends to a location of -50 1/4 meters relative to the surface of the water.
He then descends another 10 1/2 meters. What is the driver’s final location relative to the surface of the water?
Enter your answer as a simplified mixed number in the box.
_________ meter's.
Answer:
-60 3/4m
Step-by-step explanation:
The diver first dives down 50 1/4m, which is represented by the -50 1/4m. He then descends another 10 1/2m down. So -50 1/4m - 10 1/2m.
-50-10=-60
-(1/4)-(1/2)= (1/4)+(1/2)
(1/4+1/2)=(2/8+4/8) you can only add with the same denominators.
=6/8 (simplifies down to 3/4)
(-2/3, (sqrt)5/3) is a point on the unit circle. Find the cosecant of the angle.
Look at the picture.
[tex]\csc\theta=\dfrac{1}{\sin\theta}=\dfrac{1}{\frac{y}{r}}=\dfrac{r}{y}[/tex]
We have the right triangle x, y and r. From the Pythagorean theorem we have:
[tex]r^2=x^2+y^2\to r=\sqrt{x^2+y^2}[/tex]
We have the point
[tex]\left(-\dfrac{2}{3};\ \dfrac{\sqrt5}{3}\right)[/tex]
Substitute:
[tex]r=\sqrt{\left(-\dfrac{2}{3}\right)^2+\left(\dfrac{\sqrt5}{3}\right)^2}\\\\r=\sqrt{\dfrac{4}{9}+\dfrac{5}{9}}\\\\r=\sqrt{\dfrac{9}{9}}\\\\r=1[/tex]
[tex]\csc\theta=\dfrac{1}{\frac{\sqrt5}{3}}=\dfrac{3}{\sqrt5}=\dfrac{3\cdot\sqrt5}{\sqrt5\cdot\sqrt5}=\boxed{\dfrac{3\sqrt5}{5}}[/tex]
Final answer:
The cosecant of the angle can be determined as the reciprocal of the sine value of the angle, which is √3/√5.
Explanation:
Calculating the cosecant of the angle:
To find the cosecant of the angle, we need to use the definition of cosecant which is the reciprocal of the sine function. Since the point (-2/3, √5/3) lies on the unit circle, the y-coordinate (√5/3) can be used as the sine value of the angle.
Therefore, the cosecant of the angle is the reciprocal of the sine value, which is 1/(√5/3) = √3/√5.
Use the substitution method to solve the system of equations
Answer:
(2,4)
Step-by-step explanation:
Take the 2x from y=2x and plug it into the y for 3x+y=10
You now have 3x+2x=10
Combine like terms so 5x=10 then divide by 5x to both sides and x=2
Then plug in 2 for x in y=2x so it becomes y=2(2) y=4
So the answer is (2,4)
MATH HELP!!!!! Have no idea what to do!!
Answer:
Step-by-step explanation:
the answer is 26
Answer:
45 units^2
Step-by-step explanation:
Think of this polygon as being the combination of a rectangle and a triangle. The rectangle is at the bottom. It has length 9 and width 2.
The triangle is above it. Its base is also 9 like the rectangle's length. The height of the triangle is the segment from point (2, -1) to (2, 4). The length of the height is 6.
Now use the area formulas for a rectangle and a triangle to find the two areas and add them,
Rectangle: A = LW
Triangle: A = bh/2
Total area = LW + bh/2
Total area = 9 * 2 + 9 * 6/2
Total area = 18 + 54/2
Total area = 18 + 27
Total area = 45 units^2
what is the factorization of the polynomial below? x^2-x-42
Answer:
(x-7)(x+6)
Step-by-step explanation:
The solution of the equation is -6 and 7 for factorization of the given polynomial [tex]x^{2} - x - 42[/tex].
How to factorize any given polynomial ?Given equation :- [tex]x^{2} - x - 42[/tex]
For finding factors of the equation, we have equate the given polynomial with zero.
∴ [tex]x^{2} - x - 42 = 0[/tex]
Factorizing the above equation,
⇒ [tex]x^{2} - 7x + 6x - 42 = 0[/tex]
⇒ [tex]x (x -7) + 6(x - 7) = 0[/tex]
⇒ [tex](x + 6)(x - 7) = 0[/tex]
∴ Either x + 6 = 0 or x - 7 = 0
∴ x1 = -6 and x2 = 7
Where x1 and x2 are the respective factors of the given polynomial in the question.
Thus, the solution of the equation is -6 and 7 for factorization of the given polynomial [tex]x^{2} - x - 42[/tex].
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Jaz was 43 inches tall. Eighteen months later she was 52 inches tall. Find the constant rate of change of jaz's height
Answer:
.5 inches a month
Step-by-step explanation:
52 - 43 = 9 inches
9/18 = .5
Answer:
0.5 inches a month
Step-by-step explanation:
subtract 43 from 52 and divide that answer by 18
52-43=9 9÷18=0.5
please mark me brainliest
Identify the sequence that lists the angles of △JKW in order from largest to smallest. THE ANSWER WITH THE RED ARROW IS WRONG!!
i think that its is w,k,j. i could be wrong though
What is 19.51 ÷ 2? And also explain how you found the answer please. Thank YOU!
Answer:
9.755Step-by-step explanation:
From a calculator your answer in the picture.
you can buy 56 diapers from babies R us for $28 ,and you can buy 112 diapers online for $52 which one is the better deal and how much will you save per diaper
Answer:
From Online Buying is more suitable
The difference between per diaper price is $0.04
Step-by-step explanation:
Given:
56 diapers can be bought for $ 28
and
online 112 diapers for $ 52
TO find:
Better deal = ?
Per diaper save= ?
Solution:
Let the first type be x
Now for x
Price of 56 diapers are $ 28
Price of one diaper = [tex]\frac{28}{56}[/tex]
=$0.5 / diaper
Now for online let it be represented by O
Price of 112 diapers are $52
Price of one diaper = [tex]\frac{52}{112}[/tex]
=$0.46 / diaper
Price of one diaper from online is less then price of one diaper from we bought not online
Difference of per diaper price = 0.5 - 0.46
=$0.04
So buying diapers from online would be suitable
A biologist is measuring growth of a frog population in a pond. She expects the number of tadpoles to grow every day by a factor of b. On day one, at the start of her experiment, the number of tadpoles is a. Which expression best predicts the number of tadpoles at the start of the nth day?
An3x=2x+1
subtract 2x from both sides
x=1 answer
Step-by-step explanation:
it will only take one day
Answer:
a * b^(n-1)
Step-by-step explanation:
I guessed and got it right :/
At the art fair, 95 artists exhibited their work. Of those 95 artists, 25 showed sculptures and 48 showed paintings. If 12 showed both scuptures and paintings, how many artists showed only sculptures or paintings?
The anwser is 73
95 artists 25 showed sculptures+ 48 that show paintings= 73 artists showed sculptures or paintings
Final answer:
By using the principle of inclusion-exclusion, we find that 61 artists showed only sculptures or paintings at the art fair.
Explanation:
To find out how many artists showed only sculptures or paintings, we use the principle of inclusion-exclusion in set theory. We start by adding the number of artists that showed sculptures and those that showed paintings:
Artists with sculptures + Artists with paintings = 25 + 48 = 73.
However, since some artists showed both, we must subtract the number of artists who showed both sculptures and paintings to avoid double-counting:
Artists who showed both = 12.
Now, we subtract this number from our previous total:
73 - 12 = 61 artists who showed only sculptures or paintings.
Caitlan went to the store to buyschool clothes . She has store credit from a previous return in the amount 39.58. If she bought 4 of the same style shirt in different colors and spent total of 52.22 after the store credit was taken off he total, what was the price of each shirt ahe bought? Write and solve and equation with integrr coefficients
Answer:
each shirt costs $22.95
Step-by-step explanation:
39.58 + 52.22 = 91.80
91.80/4= 22.95
To find the price of each shirt Caitlan bought, use an equation to solve for the cost per shirt, which is $3.16.
Equation: Let x be the price of each shirt. Caitlan spent $52.22 on 4 shirts, so 4x = $52.22. After deducting the store credit, her total spending was $52.22 - $39.58 = $12.64. Therefore, 4x = $12.64. Now, solve for x:
4x = $12.64
x = $12.64 / 4
x = $3.16
Therefore, the price of each shirt Caitlan bought was $3.16.
Samantha is saving to buy a new computer. the first month she saves $100. each of the following months she plans to save 10%more than the previous month. how much money will she have saved after 6 months
She saves $100.She saves 10% more.They want to know how much they will save after 6 months. Multiply 10% by 6months and you get 60%.Then you multiply the answer of .60 (60%) by 100 and you get 60. Lastly, since you wanna know how much you saved,subtract $100-60 and your final answer you get is that she saves $40.Hope that helped!
The population of the town was 25,000 people.Then 3,200 people moved away.What was the percent of increase?
There was no increase. There was actually a decrease of people in the population. If you are asking for the percent of decrease, the answer is 3200/25000=0.128 0.128*100=12.8%.
Determine which system of equation has (-3,19) and (4,-23) as a solution?
Answer:
y=6x+1
Step-by-step explanation:
First you must find the slope of the two points...
[tex]\frac{4--3}{-23-19}[/tex] which then would equal 6
Then you take the slope and put into point-slope form
(y-y1)=m(x-x1)...take one of the points that is given and plug it into this formula.
so I used (-3,19).
(y-19)=6(x--3)
I would then get y-19=6x+18
Add 19 to both sides and you will get y=6x+1
0.001y^12,
0.008b^6,
-8/27a^15
Written as a cube of a monomial.
[tex]0.001y^{12}=(0.1)^3y^{4\cdot3}=(0.1)^3(y^4)^3=(0.1y^4)^3\\\\0.008b^6=(0.2)^3b^{2\cdot3}=(0.2)^3(b^2)^3=(0.2b^2)^3\\\\-\dfrac{2}{27}a^{15}=\left(-\dfrac{2}{3}\right)^3a^{5\cdot3}=\left(-\dfrac{2}{3}\right)^3(a^5)^3=\left(-\dfrac{2}{3}a^5\right)^3\\\\\text{Used:}\\\\(a^n)^m=a^{n\cdot m}\\\\(ab)^n=a^nb^n[/tex]
The expressions 0.001y^12, 0.008b^6 and -8/27a^15 can be written as the cubes of the monomials 0.1y^4, 0.2b^2 and -2/3a^5 respectively.
Explanation:The expressions provided can be written as a cube of a monomial. A monomial is a single term, and the cube of a monomial is a term raised to the third power. First, let's begin by expressing the coefficients as cubes:
0.001 = (0.1)^30.008 = (0.2)^3-8/27 = (-2/3)^3Then, for the variables, divide the exponent by 3:
y^12 = y^4^3b^6 = b^2^3a^15 = a^5^3Combining the cubed coefficient and the cubed variable, we have:
0.001y^12 can be expressed as (0.1y^4)^30.008b^6 can be expressed as (0.2b^2)^3-8/27a^15 can be expressed as (-2/3a^5)^3Learn more about Cube of a Monomial here:https://brainly.com/question/29612309
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Elizabeth and connie are in charge of balloons. They have 27 blue balloons and 63 yellow balloons. What is the greatest number of groups they can put together and use all the balloons
9 groups because thats the greatest common denominator
Identify the value of m. Give your answers in simplest radical form. HELP PLEASE!!!
Answer:
m = 4√2
Step-by-step explanation:
This is a right angled isosceles triangle whose sides are in the ratio 1:1:√2.
So = 8 / √2
= 8 *√2 / 2
= 4√2
Which function in vertex form is equivalent to f(x) = 4 + x2 – 2x?
Answer:
The vertex form of the function is [tex]f(x)=(x-1)^2+3[/tex].
Step-by-step explanation:
The given function is
[tex]f(x)=4+x^2-2x[/tex]
The vertex form is
[tex]f(x)=(x-h)^2+k[/tex]
Rewrite the given function
[tex]f(x)=(x^2-2x)+4[/tex]
[tex]-\frac{b}{2a}=-\frac{-2}{2(1)}=1[/tex]
Add and Subtract [tex](-\frac{b}{2a})^2[/tex].
[tex]f(x)=(x^2-2x+1)+4-1[/tex]
Use [tex](a-b)^2=a^2-2ab+b^2[/tex]
[tex]f(x)=(x-1)^2+3[/tex]
Therefore the vertex form of the function is [tex]f(x)=(x-1)^2+3[/tex].
Answer: A on Edge 2020
Step-by-step explanation:
which shows the reflection of the figure over the line
Answer:
The answer is B, I just took the test.
Step-by-step explanation:
Answer:
hello there the answer is b hope this helps
Step-by-step explanation:
The area of the octagon below is 10,391.9 square millimeters. What is the approximate perimeter of the octagon? Round to the nearest whole number. Mm What is the approximate length of one side of the octagon? Round to the nearest whole number. Mm
Answer:
the first one is 371 and the second one is 46
Step-by-step explanation:
Answer:
side of the octagon = 46.38 mm
Perimeter of the octagon = 371.04 mm
Step-by-step explanation:
Area of octagon = 10,391.9 mm²
But, area of octagon is given by the formula = 2(1 + √2)side²
⇒ 2(1 + √2)side² = 10391.9
⇒ 4.83 × side² = 10391.9
⇒ side² = 2151.53
⇒ side of the octagon = 46.38 mm
Perimeter of the octagon = 8 × side
⇒ Perimeter of the octagon = 8 × 46.38
⇒ Perimeter of the octagon = 371.04 mm
A problem states: "There are 9 more children than parents in a room. There are 25 people in the room in all. How many children are there in the room?"
Let c represent the number of children.
Which expression represents the number of parents?
A.) 9−c
B.) c−9
C.) c + 9
D.) c⋅9
The answer of this one is 9-c
Which statement is TRUE for the ordered pairs (-5, -4), (-9, -3), and (-8,-2)? HELPPP
Answer:
1,
3
Hope I helped thankssss
Step-by-step explanation:
20% of the tickets sold at a water park were adult tickets. If the park sold 55 tickets in all,how many did it sell?
Answer:
11 adult tickets
Step-by-step explanation:
I guess you want the number of adult tickets sold.
That is 20% of 55
= 0.20*55
= 11 (answer)
Answer:
the answer is 11
Step-by-step explanation:
I did the math its 11
Please help me with this
The sales tax rate is 7.25%. How much tax in dollars is added on an item that costs $56.00?
Hi there! :)
Answer:
$4.06 of taxes is added on an item that costs $56.00 is the sales tax rate is 7.25%.
Step-by-step explanation:
You are looking for 7.25% of $56.00
7.25% is the same thing as 7.25/100, which is the same thing as 7.25 ÷ 100
7.25 ÷ 100 = 0.0725
The word "of" is the same thing as a multiplication sign (×).
SO, 7.25% of $56.00 = 0.0725 × 56
0.0725 × 56 = 4.06 ⇒ YOUR ANSWER
There you go! I really hope this helped, if there's anything just let me know! :)
The tax on that item will be 4.06$.
What is tax?A tax is a necessary fee or financial charge imposed by a government on an individual or an organization in order to raise funds for public works projects that provide the greatest services and infrastructure. The gathered funds are subsequently utilized to finance other government activities.
Given, The sales tax rate is 7.25%. for an item whose cost is 56.00$.
Tax added on that item = 56* 7.25%
Tax added on that item = 4.06$
Therefore, the total tax added on the item whose total value is 56 will be 4.06$.
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A girl starts to walk to her school, which is 20 miles away, at 6:50 and at a rate of 3 miles per hour. After a while, her dad picks her up and drives her through the remainder of the way at 30 miles per hour. If they arrived at school at 9:00, how far did she walk? Show work
The girl walked a distance of [tex]\boxed{{\mathbf{5 miles}}}[/tex] in her way.
Further explanation:
The time can be calculated as,
[tex]{\text{ time}}=\frac{{{\text{distance}}}}{{{\text{speed}}}}[/tex]
Given:
It is given that a girl stands 20 miles away from the school at [tex]6:50{\text{ am}}[/tex] and she started walking at the rate of [tex]3{\text{ mi/hr}}[/tex] and then after some time her dad pick up and he drives at the rate of [tex]30{\text{ mi/hr}}[/tex] . They reach the school at [tex]9:00{\text{ am}}[/tex] .
Step by step explanation:
Step 1:
Consider [tex]x[/tex] as the distance she walked in her way.
The speed of the girl when she walked is [tex]3{\text{ mi/hr}}[/tex] .
Now use the formula of time to obtain the walk time.
[tex]\begin{gathered}{\text{ walktime}}=\frac{{{\text{distance walked}}}}{{{\text{walking speed}}}}\hfill\\{\text{ walktime}}=\frac{x}{3}\hfill\\\end{gathered}[/tex]
Since the total distance is [tex]20{\text{ miles}}[/tex] .
Then consider [tex]20-x[/tex] as the distance driven by the car.
The driving speed is [tex]30{\text{ mi/hr}}[/tex] .
Now use the formula of time to obtain the drive time.
[tex]\begin{gathered}{\text{drive time}}=\frac{{{\text{distance travelled by car }}}}{{{\text{ speed of car}}}}\hfill\\{\text{drive time}}=\frac{{20-x}}{{30}} \hfill\\\end{gathered}[/tex]
Step 2:
Now we calculate the total time took by girl to reach the school.
[tex]9:00-6:50={\text{2 hrs 10 min}}[/tex]
Now convert the timing into hours as,
[tex]\begin{aligned}2{\text{ hours 10 minutes}}&=2+\frac{{10}}{{60}}\\&=2\frac{1}{6}\\&=\frac{{13}}{6}{\text{ hrs}}\\\end{aligned}[/tex]
Step 3:
Total time is the sum of drive time and walk time.
The total time can be expressed as,
[tex]\frac{x}{3}+\frac{{20-x}}{{30}}=\frac{{13}}{6}[/tex]
Now solve the above equation by cross multiply method.
[tex]\begin{aligned}\frac{x}{3}+\frac{{20-x}}{{30}}&=\frac{{13}}{6}\hfill\\\frac{{10x+20-x}}{{30}}&=\frac{{13}}{6}\hfill\\\frac{{9x+20}}{{30}}&=\frac{{13}}{6}\hfill\\6\left({9x+20}\right)&=13\left({30}\right)\hfill\\\end{aligned}[/tex]
Now simplify the further equation.
[tex]\begin{aligned}6\left({9x+20}\right)&=13\left({30}\right)\hfill\\54x+120&=390\hfill\\54x&=390-120\hfill\\54x&=270\hfill\\\end{aligned}[/tex]
Simplify the further equation.
[tex]\begin{aligned}54x&=270\hfill\\x&=\frac{{270}}{{54}}\hfill\\x&=\frac{{45}}{9}\hfill\\x&=5\hfill\\\end{gathered}[/tex]
Therefore, the girl walked 5 miles.
Learn more:
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Answer details:
Grade: High school
Subject: Mathematics
Chapter: Speed, distance and time
Keywords: girl, distance, drive, walk, drive time, dad, speed, travelled, formula, cross multiply, fraction, number, multiply, addition, subtraction, equation, school
Answer:
5 miles
Step-by-step explanation:
What is the answer a factory adds three red drops an two blue drops of coloring to white paint to make each pint of purple paint the factory will make 50 gallons of this purple paint how many drops of red and blue coloring will the factory need the 50 gallon batch of purple paint
Answer:
Red = 30 drops
Blue = 20 drops
Step-by-step explanation:
The ratio red to blue is 3 : 2
Sum of ratios = 3 + 2 = 5
Required purple paint = 50 gallons
So,
[tex]Multiplier = \frac{50}{5} = 10[/tex]
Now, Red drops = 3×10 = 30
Blue drops = 2×10 = 20
Answer:
Step-by-step
A factor adds three red drops and two blue drops of coloring to white paint to make each pint of purple paint. The factory will make 50 gallons of purple paint. Haw many drops of red and blue coloring will the factory need in the 50-gallon batch of purple paint?
There are 8 pints in 1 gallon, so 50×8 = 400 pints in 50 gallons.
400 × 3 red drops = 1200 red drops
400 × 2 blue drops = 800 blue drops