Answer:
y ≤ -1/3x + 1
Step-by-step explanation:
The shading is below the line so it is y ≤ and then the slope is -1/3x because when you go down 1 and 3 units to the right, you get another point. And lastly, the y-intercept is 1.
I hope this helps
Answer: y ≤ -1/3x + 1
Step-by-step explanation: The shaded is under the line and the line is full so we know it is less than or equal to (≤ ), The graph takes from x= 0 to 3 to changed from y= 1 to 0, so the slope is -1/3, since it is going down, and since when x is 0, y = 1, there will be a plus 1
Find the area of a rectangle whose length (L) = 15 in. and width (W) = 2 in.
(a) 17 in ²
(c) 13 in. ²
(b) 30 in.²
(d) 68 in.²
Hi! I need the area of this figure! Please Help! Worth 20 points!
Answer:
A = (18π +72) cm²P = (12π +12) cmStep-by-step explanation:
areaThe area of a semicircle is ...
A = 1/2(πr²)
For a radius of 6 cm, the (top) semicircle area is ...
A = (1/2)π(6 cm)² = 18π cm²
__
We notice that the area of the bottom-most semicircle exactly fills the empty space next to it. That is, the area of the bottom part of the figure is exactly the area of 2 squares of side length 6 cm.
rectangle area = 2(6 cm)² = 72 cm²
Then the total area of the figure is ...
(72 +18π) cm²
__
perimeterThe perimeter of a semicircle of radius r is ...
P = 1/2(2πr) = πr
So, the length of arc AE is ...
AE = π(6 cm) = 6π cm
The two semicircles at the bottom of the figure have a total arc length exactly equal to the circumference of a circle 6 cm in diameter. That is ...
C = πd
C = π(6 cm) = 6π cm
The two straight sides of the figure have a total length equal to twice the side length of each square:
P = 2s = 2(6 cm) = 12 cm
Then the perimeter of the figure is ...
AE +(AB+DE) +BCD
= 6π cm + 12 cm + 6π cm
= (12 +12π) cm
_____
Additional comment
Usually, "completely simplified" means that parentheses are eliminated from the expression and like terms are combined. While the perimeter expression shown in the problem statement is numerically correct, it does not qualify as being "completely simplified". (You may prefer to write the π-term first. Often the answer checker will choke on parentheses, and it may prefer the value have no spaces. YMMV)
PLEASE HELP n
me it's IXL
Answer:
top diagram12Step-by-step explanation:
The top diagram shows 4 times as many blocks in the "made" row as in the "missed" row.
__
There are 3 more blocks in the "made" row than in the "missed" row. If those 3 blocks represent 9 more kicks made, then each block stands for 9/3 = 3 kicks. Altogether, the 4 blocks in the "made" row stand for 12 kicks made.
UY∥VX. Complete the proof that m∠U+m∠Y+m∠UVY=180° without using the Triangle Angle Sum Theorem.UYVWX
Answer:
Substitution
Explanation:
We are to complete the proof that:
m∠U + m∠Y + m∠UVY = 180° (without using the Triangle Angle Sum Theorem)
This is proven below given the following statements:
\(\begin{gathered} m\angle UVY+m\angle WVY=180^{\circ} \\ But:m\angle WVY=m\angle U+m\angle Y \\ \text{Substituting this into the initial formula, we have:} \\ \operatorname{\Rightarrow}m\operatorname{\angle}UVY+m\operatorname{\angle}U+m\operatorname{\angle}Y=180^{\operatorname{\circ}} \\ m\operatorname{\angle}U+m\operatorname{\angle}Y+m\operatorname{\angle}UVY=180^{\operatorname{\circ}} \\ \\ m\operatorname{\angle}U+m\operatorname{\angle}Y+m\operatorname{\angle}UVY=180^{\operatorname{\circ}}(Substitution) \end{gathered}\)Therefore, the answer is Substitution
What is the graph of the solution to the following compound inequality? 3 - x >= 2; 4x + 2 >= 10
Answer:
A. x is less than or equal to 1 OR x is greater than or more than 2
Find the length of “c” to the nearest tenth using the Pythagorean Theorem.
NO BOTS
Answer:
10.6
Step-by-step explanation:
you do 7 squared + 8 squared to get 113. the square root of 113 rounded to the nearest tent is 10.6
give me brainliest
I need to find x and y
Using the same-side interior angles theorem,
\(8x+30+6x+24=180 \\ \\ 14x+54=180 \\ \\ 14x=126 \\ \\ \boxed{x=9}\)
Using vertical angles,
\(6(9)+24=10y+2 \\ \\ 78=10y+2 \\ \\ 10y=76 \\ \\ \boxed{y=7.6}\)
Evaluate the surface integral. S (x + y + z) dS, S is the parallelogram with parametric equations x = u + v, y = u − v, z = 1 + 2u + v, 0 ≤ u ≤ 6, 0 ≤ v ≤ 1.
Answer:
684.
Step-by-step explanation:
A student was asked to give the exact solution to the equation
22x+4-9(2) = 0
The student's attempt is shown below:
22x+49(2)=0
22x+24-9(2) = 0
Let 2* = y
y²-9y+8=0
(y-8)(y-1)=0
y = 8 or y=1
So x = 3 or x = 0
(a) Identify the two errors made by the student.
(b) Find the exact solution to the equation.
(a) The errors made by the student are:
Incorrectly expanding 49(2) as 24 instead of 98.
Mistakenly factoring the quadratic equation as (y - 8)(y - 1) instead of
\(y^{2} - 9y + 8.\)
(b) The exact solution to the equation is x = 7/11.
(a) The student made two errors in their solution:
Error 1: In the step \("22x + 49(2) = 0,"\) the student incorrectly expanded 49(2) as 24 instead of 98. The correct expansion should be 49(2) = 98.
Error 2: In the step \("y^{2} - 9y + 8 = 0,"\) the student mistakenly factored the quadratic equation as (y - 8)(y - 1) = 0. The correct factorization should be \((y - 8)(y - 1) = y^{2} - 9y + 8.\)
(b) To find the exact solution to the equation, let's correct the errors made by the student and solve the equation:
Starting with the original equation: \(22x + 4 - 9(2) = 0\)
Simplifying: 22x + 4 - 18 = 0
Combining like terms: 22x - 14 = 0
Adding 14 to both sides: 22x = 14
Dividing both sides by 22: x = 14/22
Simplifying the fraction: x = 7/11
Therefore, the exact solution to the equation is x = 7/11.
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Fill in the table using this function rule y= - 2x + 3
Step-by-step explanation:
you just have to put that value in place of x in the function.
don't be so lazy you a hole do it yourself
Sophie pays m dollars to rent a car for the weekend. On the drive home, she buys $25 worth of gasoline. Her friend melody pay for one-half the cost of the car rental only.Choose an expression you could use to determine how much Sophie spent.
Answer:
25-1/2=
Step-by-step explanation:
The Wilson family's newborn baby weighs 88 ounces. Choose the numbers to show the baby's weight in pounds and ounces.
Answer:
5.5 pounds
Step-by-step explanation:
x^2=-7 list numbers that are solutions to this equation?A. \( - \sqrt{7} \)B. 49C. -3.5D. \( \sqrt{7} \)E. -7F. none of these
We are told to find the solution of
\(x^2=-7\)To solve, we will find the square root of both sides
\(x=\sqrt[]{-1}\times\pm\sqrt[]{7}\)But we will use the relationship
\(\sqrt[]{-1}=i\)Thus, we have
\(\begin{gathered} x=\pm\sqrt[]{7}\times i \\ x=\pm\sqrt[]{7}i \end{gathered}\)Thus, the answer is
\(\begin{gathered} x=\sqrt[]{7}i \\ x=-\sqrt[]{7}i \end{gathered}\)I need help with this question but no one is helping me! Can someone please help me
Answer:
a) 0.0187
b) 0.0943
c) 0.2959
Step-by-step explanation:
a) 9/31 * 8/30 * 7/29 = 0.0187
b) 10/31 * 9/30 * 8/29 + 12/31 * 11/30 * 10/29 + 9/31 * 8/30 * 7/29 = 0.0943
c) 21/31 * 20/30 * 19/29 = 0.2959
Drag each expression or value to the correct box. Not all tiles will be used.
Luke started a weight-loss program. The first week, he lost x pounds. The second week, he lost pounds less than times the pounds he lost the first week. The third week, he lost 1 pound more than of the pounds he lost the first week.
Liam started a weight-loss program when Luke did. The first week, he lost 1 pound less than times the pounds Luke lost the first week. The second week, he lost 4 pounds less than times the pounds Luke lost the first week. The third week, he lost pound more than times the pounds Luke lost the first week.
Assuming they both lost the same number of pounds over the three weeks, complete the following sentences.
The weight loss illustrates the use of algebraic equations
Luke's equation is \(\mathbf{Total = \frac{13x}{4} - \frac{1}{2} }\).Liam's equation is \(\mathbf{Total =\frac{21}{4}x - \frac{9}{2} }\)The value of x is \(\mathbf{x =2 }\)The total weight loss is \(\mathbf{Total =6 }\)Luke
The number of pounds he lost in each week is as follows
\(\mathbf{Week\ 1: x}\)
\(\mathbf{Week\ 2: \frac 32x - \frac 32}\) --- 3/2 less than 3/2 of first week
\(\mathbf{Week\ 3:1 + \frac 34x}\) --- 1 more than 3/4 of first week
So, the total pound he lost is:
\(\mathbf{Total = x + \frac 32x - \frac 32 + 1 + \frac 34x }\)
Collect like terms
\(\mathbf{Total = x + \frac 32x + \frac 34x- \frac 32 + 1 }\)
Take LCM
\(\mathbf{Total = \frac{4x + 6x + 3x}{4} + \frac{2 - 3}{2} }\)
\(\mathbf{Total = \frac{13x}{4} - \frac{1}{2} }\)
Liam
The number of pounds he lost in each week is as follows
\(\mathbf{Week\ 1: \frac 32x - 1}\) --- 1 less than 3/2 of what Luke lost in the first week
\(\mathbf{Week\ 2: \frac 52x - 4}\) --- 4 less than 5/2 of what Luke lost in the first week
\(\mathbf{Week\ 3:\frac 54x + \frac 12}\) --- 1 /2more than 5/4 of what Luke lost in the first week
So, the total pound he lost is:
\(\mathbf{Total =\frac 32x - 1 + \frac 52 x - 4 + \frac 54x +\frac12 }\)
Collect like terms
\(\mathbf{Total =\frac 32x + \frac 52 x + \frac 54x- 1 - 4 +\frac12 }\)
Take LCM
\(\mathbf{Total =\frac{6+10+5}{4}x - \frac{2 + 8 -1}{2} }\)
\(\mathbf{Total =\frac{21}{4}x - \frac{9}{2} }\)
The value of x
Since they lost the same number of pound, then:
\(\mathbf{Total = \frac{13x}{4} - \frac{1}{2} =\frac{21}{4}x - \frac{9}{2} }\)
The value of x is calculated as follows:
\(\mathbf{\frac{13x}{4} - \frac{1}{2} = \frac{21}{4}x - \frac{9}{2} }\)
Multiply through by 4
\(\mathbf{ 13x - 2 = 21x - 18 }\)
Collect like terms
\(\mathbf{21x - 13x =18 - 2 }\)
\(\mathbf{8x =16 }\)
Divide both sides by 8
\(\mathbf{x =2 }\)
Total weight loss by each
We have:
\(\mathbf{Total =\frac{21}{4}x - \frac{9}{2} }\)
Substitute \(\mathbf{x =2 }\)
\(\mathbf{Total =\frac{21}{4} \times 2 - \frac{9}{2} }\)
\(\mathbf{Total =\frac{21}{2} - \frac{9}{2} }\)
Take LCM
\(\mathbf{Total =\frac{21- 9}{2} }\)
\(\mathbf{Total =\frac{12}{2} }\)
\(\mathbf{Total =6 }\)
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Find BC. Round the answer to the nearest tenth.
A. 1.1
B. 1.9
C. 2.3
D. 2.8
Answer:
A:1.1 I had the same answer
Anna made 33 blueberry cookies. If she shares this equally among her four
friends, how many will each receive? Will there be any cookies leftover?
Answer:
each person will get 8 cookies and there will be one remaining
Step-by-step explanation:
33 ÷ 4 = 8.25
4 × 8 = 32
33 - 32 = 1
Rotation 90° clockwise about the origin
N
O
G
An image of triangle NOG after a rotation 90° clockwise about the origin is shown below.
What is a rotation?In Mathematics and Geometry, a rotation is a type of transformation which moves every point of the object through a number of degrees around a given point, which can either be clockwise or counterclockwise (anticlockwise) direction.
Next, we would apply a rotation of 90° clockwise about the origin to the coordinate of this triangle NOG in order to determine the coordinate of its image;
(x, y) → (y, -x)
Point N = (-4, -1) → Point N' (-1, 4)
Point O = (-4, -3) → Point O' (-3, 4)
Point G = (0, -1) → Point G' (-1, 0)
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What percentage of data values are less than 80
Answer:
100%
none are greater than 80
Step-by-step explanation:
Solve each proportion 3 = 72 – 7
1. 3/7 = 72/x
By cross multiplication we get :
➟ 3x = 72 × 7
➟ x = 72 × 7/3
➟ x = 24 × 7
➟ x = 168
2. m/8 = 8/20
By cross multiplication we get :
➟ 20m = 8 × 8
➟ 20m = 64
➟ m = 64/20
➟ m = 16/5
Same set up as the problem to the left. Fill in the blanks.
The blanks that are missing in the sequence are -3 and 11
How to fil in the blanks in the sequencefrom the question, we have the following parameters that can be used in our computation:
The blanks in the sequence
When listed out, we have
_, _, 25, 39
Assuming that the sequence, is an arithmetic sequence, then we have
Common difference = 39 - 25
Common difference = 14
This means that
Previous term = 25 - 14 = 11
Firs term = 11 - 14 = -3
So, the missing terms are -3 and 11
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What is the area of the rectangle?
Answer:
12,180
Step-by-step explanation:
got
Someone please help!
Answer:
3.25
Step-by-step explanation:
it is shrinking by a factor of 4 so every number is 4 times smaller and 13 divided by 4 will give you 3.25
Answer:
3.25
Step-by-step explanation:
As you can see from the one on the left and the other on the right is that the left is larger than the right by the ratio of 4:1
CB = 12, ZY = 3
BA = 5, YX = 1.25
Using this information, to find ZX, we just need to divide CA's length by 4:
13 / 4 = 3.25
Question is in the picture.
A formula that describes the average revenue per person is:
average revenue per person = 1.4w
How to find a formula that describes the average revenue per person?Average revenue per person is the ratio of the total revenue received to the number of people. It is calculated by dividing total revenue by the number of people.
We have:
Total revenue formula, M = 350w⁴
Total number of people formula, T = 250w³
Thus,
Average revenue per person = M/T
Average revenue per person = 350w⁴/250w³
Average revenue per person = 1.4w
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2% of what number is 91 ?
Answer:
4550
Step-by-step explanation:
Answer:
4,550
Step-by-step explanation:
4,550 x 2% = 91
Rachael mixes 750 mL of mango juice 650 mL of orange juice and 325 mL pineapple juice she add sparkling water to fill the punch bowl that has a capacity of 2.5 L how many liters of juice does Rachel use show all work
Answer:
A. 1.725 L
B. 0.0775 L or 775 mL
Step-by-step explanation:
Part A
↓ Determine the liters of juice Rachel used ↓
750 + 650 +325 = 1,725
Rachel used 1,725 mL of juice. Convert the given mililiters to liters.
\(1725 \: ml \: \times \frac{1liter}{1000 \: ml} = 1.725 \: liters\)
→ Rachel used 1.725 L of juice
Part B.
Determine the amount of sparkling water added to the punch bowl.
2.5 - 1.725 = 0.775 L
0.775 L was added tot he punch bowl. Convert liters to milliliters. ↓
\(0.775 \: \times \frac{1000 \: ml}{1 \: liters} = 775 \: ml\)
Therefore, the answer is:
1.725 L & 775 mL
Consider the line 5x+2y=−4. What is the equation of the line parallel to the given line that passes through the point (−2, 6) in slope-intercept form? Enter your answer by filling in the boxes to complete the equation.
Answer:
y = -5/2x +1
Step-by-step explanation:
You want the slope-intercept form equation for the line through the point (-2, 6) that is parallel to 5x +2y = -4.
Parallel lineThe equation of a parallel line can be the same as the given equation, except for the constant. The new constant can be found by substituting the given point coordinates:
5(-2) +2(6) = c
-10 +12 = c
2 = c
Now we know the equation of the parallel line can be written as ...
5x +2y = 2
Slope-intercept formSolving for y puts this in slope-intercept form:
2y = -5x +2 . . . . . . . . subtract 5x
y = -5/2x +1 . . . . . . . . divide by 2
We don't know what your boxes look like, but we can separate the numbers to make it look like this:
\(\boxed{y=\dfrac{-5}{2}x+1}\)
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Given m ∥ n, find the value of x.
given that m is parallel to n,
the angle opposite (2x + 16)° is also (2x + 16)° as vertically opposite angles are equal.
using the corresponding angle rule we know that:
2x + 16 = 96
2x = 80
so x = 40
Need help ASAP! See images below
Answer and Step-by-step explanation:
The kite area formula:
A = \(\frac{pq}{2}\)
P = Line RP
Q = Line QS
A = \(\frac{38 + 16}{2}\) = \(\frac{54}{2}\) = 27
27 is the answer.
#teamtrees #PAW (Plant And Water)
A car is traveling at a rate of 30 meters per second. What is the car's rate in kilometers per hour? How many kilometers will the car travel in 5 hours? Do not
round your answers.
The speed of the car is 108 kilometers per hour and the distance covered in 5 hours is 540 kilometers.
What is the speed of the car in kilometers per hour and distance covered after 5 hours?Speed is simply referred to as distance traveled per unit time.
It is expressed as;
Speed = Distance ÷ time.
Given that the car is traveling at a rate of 30 meters per second.
First, convert the car's speed from meters per second to kilometers per hour using the conversion factor.
1 kilometer = 1000 meters
1 hour = 3600 seconds
Hence;
Speed = 30m/s = ( 30 × 3600/1000 )kmh
Speed = 108 kmh
Next, the distance covered in 5 hours will be:
Speed = Distance / time
Distance = speed × time
Distance = 108 kmh × 5 h
Distance = 540 km
Therefore, the disatnce covered is 540 kilometers.
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