Explanation: The power rule tells us that when we have a power taken to another power, we keep the base the same and we multiply the exponents.
So we have p¹⁰ which is our final answer.
Find the exact length of each line segment.
AB=
GH=
Answer:
ab- 4.1
gh-31.36
Step-by-step explanation:
Santiago is trying to earn experience points in his newest game. He knows that finding
gophers will get him the most points. His number of experience points after his first attempt
can be represented by the linear equation - 24x + 2y = 900, where y represents Santiago's
total number of experience points and x represents the number of gophers he finds.
What is the slope of the line? What does this represent?
F The slope is 12; he earns 1 point for every 12 gophers he finds.
G The slope is 450; he earns 1 point for every 450 gophers he finds..
# The slope is 12; he earns 12 points for each gopher he finds.
J The slope is 450; he earns 450 points for each Igopher he finds.
Correct Answer is on the attached image
Complete the table and then graph the function.
y = x + 2 look at photo
Solve the following simultaneous linear equations.
2x + y = 5
4x – 3y = -10
Answer:
(1/2,4)
Step-by-step explanation:
First, determine y in first equation: 2x+y=5 or y=5-2x
replace value of y determined in first equation (5-2x) into 2nd equation
4x-3(5-2x)=-10
4x-15+6x=10
10x=5
x=1/2
put value of x into either equation to solve for y so
2(1/2)+y=5
1+y=5
y=4
answer: x=1/2, y=4
check answer by substituting x and y into either equation:
4x-3y=-10
4(1/2)-3(4)=-10
2-12=-10
-10=-10
or
2x+y=5
2(1/2)+4=5
1+4=5
5=5
Solve the system using elimination. Show all work for full credit.
-3x - 3y = 12
3x + 4y = -11
Help me
Answer:
X=-5, y=1
Step-by-step explanation:
Add 3x+-3x to get 0. You are left with
-3y=12
4y=-11
add together
y=1
substitute1 in either equation to solve for x
-3x-3y=12
-3x-3(1)=12
-3x-3=12
-3x=15
x=-5
4(3x-5)-2(5x-7) please help me i’m not it’s if it’s 2x-6 or 2x-3
Answer:
2x-6
Step-by-step explanation:
4(3x-5)-2(5x-7)
(12x-20)-(10x-14)
12x-20-10x+14
12x-10x-20+14
2x-6
Answer:
=> first multiply the numbers in bracket
4(3x-5)-2(5x-7) when we multiply for 4 and -2
12x-20-10x+14
=> then collect the like terms
12x-10x-20+14
=> 2x-6
Scuba diving, Elisa descends at a rate of 7 1/2 feet per minute. How long 2
will it take her to reach a depth of 90 feet?
Answer:
12 minutes
Step-by-step explanation:
90/7.5 = 12 minutes
There is a line that includes the point (4, – 10) and has a slope of 8. What is its equation in point-slope form?
Directions: Find the value of x.
Round angle measures to the nearest degree.
Given:
The figure of a right triangle.
To find:
The value of x.
Solution:
In a right angle triangle,
[tex]\sin \theta=\dfrac{Perpendicular}{Hypotenuse}[/tex]
In the given right triangle,
Hypotenuse = 15
Perpendicular = 12.5
Now,
[tex]\sin x^\circ=\dfrac{12.5}{15}[/tex]
[tex]\sin x^\circ=0.83333[/tex]
[tex]x^\circ=\sin^{-1}0.83333[/tex]
[tex]x^\circ =56.442345^\circ[/tex]
[tex]x\approx 56[/tex]
Therefore, the equation used to find x is [tex]\sin x^\circ=\dfrac{12.5}{15}[/tex] and the value of x is 56.
CAN SOMEONE PLEASE HELP ME
Answer:
Scalene
Step-by-step explanation:
It is not right, equilateral, or isosceles.
8c^2+7c how do i solve this
Answer: look at the picture
Step-by-step explanation: Hope this help :D
Which one is correct?
Answer:
720cm^2
Step-by-step explanation:
i dont think this is right answer
Answer:
720cm^2
Step-by-step explanation:
pls dont report
Help on this question please I don’t understand
Help I need this rn like rnnnnnn!!!!
Answer:
g
Step-by-step explanation:
youre welcome
Given f(x) = 1/3(4 - x)2,what is the value of
f(16)?
Answer:
f(16)= -8
Step-by-step explanation:
f(16)= 1/3(4-16)2
Answer:
-8
Step-by-step explanation:
To answer this question, you must plug in the given 16 to the equation
f(16)= 1/3(4-16)2
f(16)= 1/3(-12)2
f(16)= 1/3(-24)
f(16)= -8
- 4/9 times - 5/8 in fractions.
Answer:
5/8 x 4/9 = 20/72 as simplified as 5/18 in fraction form. 5/8 x 4/9 = 0.2778 in decimal form.
Step-by-step explanation:
The product of -4/9 and -5/8 is 5/18.
Given are two negative fractions -4/9 and -5/8, we need to find their product,
To find the product of two negative fractions, you can multiply their numerators together and their denominators together, while keeping the negative sign.
Let's find the product of -4/9 and -5/8:
Product = (-4/9) x (-5/8)
To calculate the product, multiply the numerators and denominators:
Product = (-4 x -5) / (9 x 8)
Simplifying the multiplication:
Product = 20 / 72
Now, you can simplify the fraction by finding the greatest common divisor (GCD) of the numerator and denominator, which in this case is 4:
Product = (20/4) / (72/4)
= 5/18
Therefore, the product of -4/9 and -5/8 is 5/18.
Learn more about Fractions click;
https://brainly.com/question/10354322
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Find the slope between the following two points.
(-4,0)(5,-8)
Answer:
-8/9.
Step-by-step explanation:
The slope = difference in y-values / corresponding difference in x values
Slope = (-8-0)/(5 - (-4))
= -8/9.
Miguel is posting photos on a school website. He has 48 photos. And he is allowed to use 12 pages.He wants to put the same number of photos,P,on eaxh page
Answer:
4
Step-by-step explanation:
48/12 to get how many in each page
Two different right cones are being considered by a design team to hold one liter (1000
cubic centimeters) of oil. Design A has a height that is double the diameter of the base.
Design B has a height that is triple the diameter of the base. Which design has a smaller
surface area? What percent less is that surface area?
Answer:
The surface area of Design A is smaller than the surface area of Design B.
The area of Design A is 94.65% of the Design B.
Step-by-step explanation:
The area of a right cone is given by the sum of the circle area of the base and the lateral area:
[tex] A = \pi r^{2} + \pi rL [/tex] (1)
Where:
r: is the radius
L: is the slant height
The slant height is related to the height and to the radius by Pitagoras:
[tex] L^{2} = H^{2} + r^{2} [/tex]
[tex] L = \sqrt{H^{2} + r^{2}} [/tex] (2)
By entering equation (2) into (1) we have:
[tex] A = \pi r^{2} + \pi r(\sqrt{H^{2} + r^{2}}) [/tex]
Now, let's find the area of the two cases.
Design A: height that is double the diameter of the base, H= 2D = 4r
[tex] A_{1} = \pi r^{2} + \pi r(\sqrt{(4r)^{2} + r^{2}}) = \pi r^{2}(1+ \sqrt{17}) [/tex]
The volume of the cone is:
[tex]V = \frac{1}{3}\pi r^{2}H[/tex]
We can find "r":
[tex] V = \frac{1}{3}\pi r^{2}(4r) = \frac{4}{3}\pi r^{3} [/tex]
[tex] r = \sqrt[3]{\frac{3V}{4\pi}} = \sqrt[3]{\frac{3*1000}{4\pi}} = 6.20 cm [/tex]
The area is:
[tex] A_{1} = \pi (6.20)^{2}(1+ \sqrt{17}) = 618.7 cm^{2} [/tex]
Design B: height that is triple the diameter of the base, H = 3D = 6r
The radius is:
[tex] r = \sqrt[3]{\frac{3V}{6\pi}} = \sqrt[3]{\frac{3*1000}{6\pi}} = 5.42 cm [/tex]
The area is:
[tex]A_{2} = \pi r^{2} + \pi r(\sqrt{(6r)^{2} + r^{2}}) = \pi r^{2}(1 + \sqrt{37}) = \pi (5.42)^{2}(1 + \sqrt{37}) = 653.7 cm^{2}[/tex]
Hence, the surface area of Design A is smaller than the surface area of Design B.
The percent of the surface area of Design A is less than Design B by:
[tex] \% A = \frac{618.7 cm^{2}}{653.7 cm^{2}}\times 100 = 94.65 \% [/tex]
Therefore, the area of Design A is 94.65% of the Design B.
I hope it helps you!
Which set of angles is complementary?
Answer:
angles ECF and BCF
Step-by-step explanation:
Luis plans to purchase some new baseball bats and gloves before spring training begins. Luis wants to buy the same bats and gloves he purchased last spring, but he can’t remember the price of each item. Luis recalls making two purchases last spring, each totaling $135 and both tax exempt. The first purchase was for a glove and three bats. The second purchase was for two gloves and a bat. If the current prices of these items are the same as last spring, how much will Luis pay this spring for three gloves and four bats?
Answer:
Luis will pay for three gloves and four bats = $ 270
Step-by-step explanation:
Let the bats be represented by b and gloves by g, then according to the given conditions
3b+ g= $135----equation 1
b+ 2g= $135------equation 2
Subtracting equation 2 from eq. 1 gives
3b+ g= $135----equation 1
-b -2g= -$135------equation 2
2b -g = 0 --------- equation3
2b-g= 0
or 2b= g------ equation4
This means price of 2 bats is equal to price of 1 glove.
Putting value of g in eq. 1 from eq. 4
3b+ 2b= $ 135
5b= $135
b= 135/5= 27
Price of 1 bat = $ 27 and price of 1 glove= 2*27= $54
Luis will pay for three gloves and four bats
= 54*3 + 4*27
= 162+ 108
= $ 270
Maria plans to double the amount of time she spends walking per day each week.she starts , on week 1 , walking 5 minutes per day. after 7 days , she then walks 10 minutes per day
(a) how many minutes per day will maria be walking on week # 6 , show the calculation that gives your answer
(b) scale the y axis appropriately and graph the first six terms of this sequence .list them all if you haven't already
(c) according to this geometric progression how many minutes per day would maria be walking on week # 10 why is this not a viable answer
Answer:
a) 160 minutes per day
b) Find the graph attached
c) on 10th week Maria would be walking 2560 minutes per day
Step-by-step explanation:
Week 1 - 5 minutes per day
Week 2 - 10 minutes per day
Week 3 - 20 minutes per day
Week 4 - 40 minutes per day
Week 5 - 80 minutes per day
Week 6 - 160 minutes per day
a) 160 minutes per day
b) Find the graph attached
c) on 10th week Maria would be walking 2560 minutes per day
an someone tell me the steps in solving 5b - 6 = 24?
help me pls, question is on the picture
Answer:
I just learned this about a few weeks ago I hope this helps.
Step-by-step explanation:
Since it's cosine you're only looking at Adjacent and the hypotenuse which the adj is 20 and the hyp is 25 so since cosine is adj/hyp you do 20/25 then simplify it to 20/25 divide both by 5 so it's simplified to 4/5.
Then you do Cos-1(4/5)=36.869 which is rounded to the tenth 36.9 but rounded to the hundredth 36.87.
Hope this helps
Which of the following situations forms a proportional relationship? Select all that apply.
5 DVDs for $9 and 15 DVDs for $27
6 cups of coffee for $8 and 9 cups of coffee for $12.
3 purses for $60 and 5 purses for $90
12 cans of soup for $3 and 30 cans for $7.50.
2 ink cartridges for $25 and 4 ink cartridges for $75.
Answer: 1st,2nd, and 4th one are correct.
Step-by-step explanation:
which of the following differential equations have x^2-4y^2=8 as a solution?
a) dy/dx = 4xy
b) dy/dx = 4x/y
c) y dy/dx = x/4
d) dy/dx = -x/4y
Answer:
B
dy/dx = 4x/y
Sorry if it's wrong!
You bought 7 raffle tickets. A total of 1302 raffle tickets were sold. If every raffle ticket has an equal chance at winning, what is your probability of not winning?
Answer:
the probability of not winning is 0.9946
Step-by-step explanation:
The computation of the probability of not winning is shown below:
The Probability of winning is
= 7 ÷ 1302
So, the probability of not winning is
= 1 - 7 ÷ 1302
= (1302 - 7) ÷ 1302
= 1295 ÷ 1302
= 165 ÷ 186
= 0.9946
Hence, the probability of not winning is 0.9946
The same is considered
Oliver is performing an experiment by spinning a metal weight around on the end of a nylon thread. How far does the metal weight travel if it
completes 10 revolutions on the end of a 0.88 m thread?
Give your answer correct to one decimal place.
Answer:
27.7m
Step-by-step explanation:
Step 1
We find the Circumference of the nylon thread.
The formula = 2πr
The diameter of the thread = 0.88m
Radius = Diameter/2
= 0.88m/2
= 0.44m
Circumference = 2 × π × 0.44m
= 2.7646015352m
Approximately = 2.765m
Step 2
We calculate the distance
Number of revolutions = 10
Therefore, the Distance or how far the metal weight can travel =
Circumference of the wheel × Number of revolutions
= 2.765m × 10
= 27.65m
Approximately to 1 decimal place = 27.7m
how do i find a tutor for this question did they remove the tutors and if you know how to solve his please help...
A quadratic equation is given to us. And we need to plot its graph . Firstly we will make a table . For that substitute different values of x to get different values of y . For graph refer to attachment.
• Here's the table .
[tex]\boxed{\begin{array}{c|c} \underline{\red{\bf{ x}}}&\underline{\red{\bf y}}\\\\ \sf 1 &\sf 0 \\\\\sf 0 & \sf 1 \\\\\sf 2 &\sf 1 \\\\\sf -2 &\sf 9 \end{array}}[/tex]
Which one is the correct answer?
Answer:
200
Step-by-step explanation:
Volume is the quantity of three-dimensional space enclosed by a closed surface, for example, the space that a substance (solid, liquid, gas, or plasma) or shape occupies or contains. Volume is often quantified numerically using the SI derived unit, the cubic meter. Plz mark me brainliest!
Answer:
200 cm^2
Step-by-step explanation:
For a rectangular prism, V = lwh
V = (10 cm)(4 cm)(5 cm) = 200 cm^2