Step-by-step explanation:
[tex]11=8+2+1=2^3+2^1+2^0=\bold1\cdot2^3+\bold0\cdot2^2+\bold1\cdot2^1+\bold1\cdot2^0\\\\11_{10}=\bold{1011}_2[/tex]
Write the slope intercept form of the line that goes through points (5,6) and (2, 15)
Answer:
[tex]slope \: = \frac{y2 - y1}{x2 - x1 } \\ slope = \frac{15 - 6}{2 - 5} \\ slope = \frac{9}{3} [/tex]
You are pouring 50 pounds of sand into a wagon. The linear function y= 10x represents the weight y (in pounds) of the sand in the wagon after you have poured x bags of sand into the wagon. Which graph represents the situation?
Answer:
You have 50 lb of sand, and you are pouring this into a wagon.
We have the relationship:
y = 10lb*x
Where x is the number of bags of sand that you poured into the wagon.
We know that in total, you have 50 lb of sand, then let's find the domain of this function (Domain is the set of the possible values of x)
The minimum will be when x = 0, you poured 0 bags at this point.
And the maximium will be when y = 50lb
y = 50lb = 10lb*x
50lb/10lb = x = 5
Then the domain is 0 ≤ x ≤ 5
Then we only will graph this in that range of values.
The graph will be something like:
What is the square root for this numberZ
Decrease £14132.77 by 14.5%
Give your answer rounded to 2 DP
Answer:
£12083.52
Step-by-step explanation:
Given amount:
Amount = £14132.77
Percentage decrease = 14.5%
Solution:
To decrease the given amount by 14.5% implies multiply it by:
[tex]\frac{100-14.5}{100}[/tex] = 0.855
Now;
Decreased amount = £14132.77 x 0.855
Decreased amount = £12083.52
You and your friend are trying to meet up at the park. You are currently 256 m directly west from the centre of the park. Your friend is currently 388 m directly north from the centre of the park. What is the distance between you and your friend?
Answer:
The distance between the two is 465 meters
Step-by-step explanation:
We first need to set up a triangle that shows the relative position and distances of the two friends
Please check attachment for this
To get this distance, which represents the hypotenuse of the triangle, we make use of Pythagoras’ theorem
Mathematically;
Pythagoras’ theorem states that the square of the hypotenuse equals the sum of the squares of the two other sides
Thus;
D^2 = 256^2 + 388^2
D^2 = 216,080
D = √216,080
D = 464.84 which is approximately 465 m
If JKLM is a trapezoid, which statements must be true? Check all that apply.
A. JK=~KL
B. J is congruent to M.
DC. JK is parallel to LM.
I D. J is congruent to K.
E. KL is parallel to JM.
OF Jis supplementary to K.
JKLM is a trapezoid. Statements A and E are correct.
What is the definition of geometry?It is concerned with the geometry, region, and density of various 2D and 3D shapes. There are two parallel sides and two non-parallel sides to a trapezoid.
These are the actual statements:
(a) J is supplementary to K
(e) KL is parallel to JM
Hence, statements A and E are correct.
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Shannon's rain-catcher has 8 inches of water in it. Each day, 3 inches of water are added to the rain-catcher. Let y represent the total number of inches of water in the rain-catcher after x days. Express the equation in the form of y=mx+b .
Answer:
y= 3x + 8
Step-by-step explanation:
y = mx + b
m = 3 inches of water added each day
x = 8 inches of water at start
y= 3x + 8 is the required equation.
What is an equation?An equation is a mathematical statement that shows that two mathematical expressions are equal.
Given that, Shannon's rain-catcher has 8 inches of water in it. Each day, 3 inches of water are added to the rain-catcher.
We have,
m = 3 inches of water added each day
x = 8 inches of water at start
Converting in y = mx + b, we get,
y = 3x+8
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It took Jodi 4 hours to run 2/3 miles. How many miles will Jodi run if he runs for 2 hours?
I can evaluate functions in function notation (12B)
I can graph linear functions on a coordinate plane (30)
17. h(x)= 72 x-25, find h(-6)
18. g(x) = 5x2 + 4x - 3, find g(2)
(17)
Answer:
[tex]h(-6) = -457[/tex]
Step-by-step explanation:
Given the function
[tex]h(x)= 72 x-25[/tex]
Put [tex]h = -6[/tex] to in the function
[tex]h(x)= 72 x-25[/tex]
[tex]h\left(-6\right)=\:72\left(-6\right)-25[/tex]
[tex]=-432-25[/tex]
[tex]=-457[/tex]
Therefore,
[tex]h(-6) = -457[/tex]
(18)
Answer:
[tex]g(2)=25[/tex]
Step-by-step explanation:
Given the function
[tex]g\left(x\right)\:=\:5x^2\:+\:4x\:-\:3[/tex]
[tex]g\left(2\right)\:=\:5\left(2\right)^2\:+\:4\left(2\right)\:-\:3[/tex]
[tex]= 20 + 8 - 3[/tex]
[tex]= 25[/tex]
Therefore,
[tex]g(2)=25[/tex]
What inequality is represented by this graph?
Answer:
I believe it would be B
Step-by-step explanation:
im not good at explaining, but basically that would make the most sense, forgive me if im wrong, im not good at math TwT
I ONLY HAVE 5 MIN TO TURN THIS IN PLEASE HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Perform the operation below
(3x^2-10x+4)+(10x^2-5x+8)
Answer:
132−15+12
Step-by-step explanation:
Answer:
13x² - 15x + 12Step-by-step explanation:
(3x^2-10x+4)+(10x^2-5x+8)
= 3x² - 10x + 4 + 10x² - 5x + 8
= 3x² + 10x² - 10x - 5x + 4 + 8
= 13x² - 15x + 12Which function is linear?
A. 9y+3=0
B. Y-4x=1
C. Y=2+6x⁴
D. X-2y=7
E. X/y+1=2
Answer:the answer is A
Step-by-step explanation:
Please help me out i don’t know what right and left is!!! please tell me :(((
Answer:
put your fingers out in the shape of L's. Which ever finger has the L facing the proper way, is left, and the other is right.
Step-by-step explanation:
2700 is a perfect cube. True/False?
Answer: False
Step-by-step explanation:
Answer:
It is false hope this will be
Algebra 1
Solve for n.
-1 sn + 12 < 19
Write your answer as a compound inequality with integers.
Answer:
i think the answer is -7/s
Step-by-step explanation:
Let's solve for n.
(−1s)(n)+12<19
Step 1: Add -12 to both sides.
−ns+12+−12<19+−12
−ns<7
Step 2: Divide both sides by -s.
−ns
−s
<
7
−s
n>
−7
s
Answer:
n>
−7
s
PLEASE SOLVE!!
IN A HURRY
WILL name the BRAINLIEST!!!
Answer:
62
Step-by-step explanation:
96 divided by 2 = 48
48 - 14 = 34
48 + 14 = 62
34 + 62 = 96 (total cars washed)
You're welcome
Jillian has a coin purse filled with quarters and dimes. She has a total of 21 coins.
All of the coins together have a value of $3.45. How many dimes does Jillian have?
o 7 dimes
o 9 dimes
o 12 dimes
o 14 dimes
SUBMIT RESPONSE
Answer:
12 dimes
Step-by-step explanation:
1 dollar= 4 quarters
1 dime=10 cents
3.45-1.20=2.25
2 dollars= 8 quarters
2.25-2.20=.25
1 quarter=.25
SOOOO your answer is 12 dimes
Please someone help me
Answer:
D
Step-by-step explanation:
Answer:
uhh what kinda symbols r those
Step-by-step explanation:
The front and back covers of a textbook are each 0.3 cm thick. Between the covers are 200 sheets of paper, each 0.008 cm thick. How high is a stack of 10 books
Answer:
22 cm
Step-by-step explanation:
Start off by multiplying the number of pages by the thickness.
200*0.008=1.6
Add the thickness of the front and back cover.
1.6+0.6=2.2
Multiply by 10.
2.2*10=22 cm
Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. The height of the 10 stacks of books is 22cm.
What is multiplication?Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. For example, 3 × 4 means 3 is added to itself 4 times, and vice versa for the other number.
Given that the front and back covers of a textbook are each 0.3 cm thick. Also, there are 200 sheets of paper between the cover and the thickness of each sheet is 200 sheets. Therefore, the thickness of the book is,
The thickness of a single book
= (Number of covers × Thickness of cover) + (Number of sheets × Thickness of sheets)
= (2 × 0.3cm) + (200 × 0.008cm)
= 2.2 cm
Now, the thickness of 10 books will be,
The thickness of 10 books = 10 × the Thickness of a single book
= 10 × 2.2 cm
= 22 cm
Hence, the height of the 10 stacks of books is 22cm.
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In a triathlon, Kailee swam for 1 hour, biked for 1.75 hours, and ran for 1 hour. Her average biking speed was 2 times her average running speed, and her average running speed was 8 times her average swimming speed. The total distance of the triathlon was 55.5 kilometers. Write an equation and solve it to find Kailee’s average swimming speed in kilometers per hour.
The problem tells you to make a sketch, a table, and equation but I only want an equation please. No answer either.
Answer:
Swimming speed, S = 1.50 km/hr
Step-by-step explanation:
Let Kailee's running speed be R
Let Kailee's biking speed be B
Let Kailee's swimming speed be S
Given the following data;
Time for swimming = 1 hour.
Time for biking = 1.75 hour.
Time for running = 1 hour.
Total distance = 55.5km
Translating the word problem into an algebraic equation, we have;
Biking speed = 2*8S = 16S
Running speed = 8S
We know that the distance covered by an object or body is given by the formula;
[tex] Distance = speed * time[/tex]
Now we would find the distance covered in each activity (biking, running and swimming).
For biking;
[tex] Distance, D_{1} = 1.75*16S [/tex]
Distance, [tex] D_{1} [/tex] = 28S
For running;
[tex] Distance, D_{2} = 1*8S[/tex]
Distance, [tex] D_{2} [/tex] = 8S
For swimming;
[tex] Distance, D_{3} = 1*S[/tex]
Distance, [tex] D_{3} [/tex] = S
The equation for the total distance covered in the triathlon is given by;
Total distance = sum of all distances covered
[tex] Total distance = D_{1} + D_{2} + D_{3} [/tex]
Substituting into the equation, we have;
[tex] 55.5 = 28S + 8S + S[/tex]
[tex] 55.5 = 37S[/tex]
[tex] S = \frac {55.5}{37} [/tex]
S = 1.50 km/hr
Therefore, Kailee’s average swimming speed is 1.50 kilometers per hour.
-5(3x+6)=-3(4x-2) Solve for x please! Show work to prove your answer.
Answer:
x = -12
Step-by-step explanation:
Try using Symbolab, I use it all the time it gives the correct answer and it gives good explanations.
Find the missing factor D that makes the equality true.
– 15y4 = (D)(3y?)
Answer:
[tex]-15y^{4} = D(3y^{2})\\-15y^{4}/3y^{2} = -5y^{2} \\D = -5y^{2}[/tex]
Step-by-step explanation:
The perimeter of a rectangular parking lot is 312m .
If the length of the parking lot is 95 m, what is its width?
Answer:
61 meters
Step-by-step explanation:
The perimeter of a rectangle is 2l + 2w, l being the length and w being the width. Substitute the known value into the equation and solve:
312 = 2(95) + 2w
312 = 190 + 2w
122 = 2w
w = 61
please help asap
is x= -3 what is the value of |x-4|-x^2
thank you
Answer:
16
check your math
|(-3)-4|=7
-3^2=-9
7-(-9)=16
welcome <3
Find the slope I’m sorry I need help with this one I’m finding the answer but don’t understand it sorry
PLEASE HELP ME I AM PAYING 100 POINTS!!
Mal works at a photo gallery. He charges $50 for a large photo and $40 for a large frame. Sales tax is 5%. How much total tax will a customer pay on both?
Answer the questions to show how to write and simplify expressions that represent the problem.
1. Find the total tax using the expanded expression. Did you get the same answer as you did by evaluating the original expression?
Write your answer in the space below.
2. Which expression, the original expression or the expanded expression, involves finding the total cost first, then calculating the tax on that total?
Write your answer in the space below.
no scams!
Help me please it’s due today
Answer:RTP,NM, X=7
Step-by-step explanation:
Tinanatamad akong isulat ang step by step sorry
Liana is studying the activity of nurse sharks. She starts at a position that is 25 feet below sea level. She rises 9 feet, then descends 12 feet to take a photo of a sleeping shark. Find her position relative to sea level when she took the photo.
Answer:
I believe the answer is -28
Step-by-step explanation
I gotchu bro
The answer is -28 because Liana starts at 25 below sea level (which is the same thing as -25) If she rises 9 feet, then you know to add because she is going up so your just gonna add. Next she descends 12 feet, so she went down, so subtract. So i know the answer is going to be -28 because -25+9 is -16, then imma subtract -16 and 12 so, -16 - 12= -28. There ye go
Simplify the expression:
7p+6q-2p+q
Answer:
5p+7q
Step-by-step explanation:
Answer:
5p+7q
Step-by-step explanation:
You add common terms together.
(7p-2p)+(6q+q)
5p+7q
Hope I helped!
A salad lettuce,tomatoes,and onions would be classified as a