Answer:
There are 2 modes. They are 14 and 77.
What is the slope of the line?
Answer:
-3/2
Step-by-step explanation:
That is the answer on Khan.
The slope of the graph passes through the points (0, 2) and (2, - 1) is, - 3/2
Used the concept of the slope of the line which states that,
The slope of a line passing through the points (x₁ , y₁) and (x₂, y₂) is,
[tex]m = \dfrac{(y_2 - y_1)}{(x_2 - x_1)}[/tex]
Given that,
The graph of a line is shown.
Let two points on the graph be (0, 2) and (2, - 1).
Hence, the slope of the line is,
[tex]m = \dfrac{(-1 - 2)}{(2 - 0)}[/tex]
[tex]m = \dfrac{- 3}{2}[/tex]
So, the slope of the graph is - 3/2.
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Factor 10h+30+50j to identify the equivalent expressions. Choose 2 answers
Answer:
[tex]10\left(h+3+5j\right)[/tex]
Step-by-step explanation:
[tex]10h+30+50j\\10h+3\cdot \:10+5\cdot \:10j\\10\left(h+3+5j\right)[/tex]
Answer:
10(h+3+5j) and 2(5h+15+25j
Step-by-step explanation:
To factor means to rewrite an expression as a product. Let's try dividing the expression then we find if its equivalent or not and there is the answer ;)
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A number x divided by 3 is at most 5 An inequality that represents this word sentence is
The phrase 'A number x divided by 3 is at most 5' is represented by the inequality x/3 ≤ 5. When solved, this gives x ≤ 15, indicating x can be any number up to and including 15.
Explanation:The given word problem relates to the concept of inequalities in mathematics, specifically linear inequalities. In the phrase 'A number x divided by 3 is at most 5', 'at most' translates to 'less than or equal to' in mathematical terms. Thus, this statement translates to the inequality x/3 ≤ 5.
To find the range of possible values for x, you can solve this inequality. By multiplying each side of the inequality by 3 (the inverse operation of division), you would get x ≤ 15. This means that x can be any number less than or equal to 15.
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What is the measure of ∠P?
Answer:
65°
Step-by-step explanation:
all angles in a trapezium equate to 360°
R is 115°
115+115=230
360-230=130
130÷2=65
Answer:
65
Step-by-step explanation:
sum of co-interior angles is 180
115 + P =180
P = 180-115 = 65
Jasmine is sliding down a 40-foot water park slide. The equation h = 40 − 2.5t gives her height, h, above the bottom of the slide t seconds after shoving off. How high above the bottom of the slide will Jasmine be after 8 seconds?
Use the Law of Sines and/or the Law of Cosines to solve each triangle. Round to the Nearest tenth when necessary
(Unit 8: Right Triangles & Trigonometry, Homework 9: Law of Sines & Cosines: + Applications)
Answer:
∠TSR= 48°
∠RTS = 107°
∠TRS = 25°
Step-by-step explanation:
As we know in any triangles,
a, b and c are sidesC is the angle opposite side cWe can apply The Law of Cosines , which is:
[tex]c^{2}[/tex] = [tex]a^{2}[/tex] + [tex]b^{2}[/tex] − 2ab cos(C)
In this situation we have:
RT = a = 11TS = b = 6SR = c = 14Apply The Law of Cosines to find the angle of TRS
<=> [tex]6^{2} = 11^{2} + 14^{2} - 2*11*14*cos(TRS)[/tex]
<=> cos(TRS ) = ([tex]11^{2} + 14^{2} - 6^{2}[/tex]) / 2*11*14
<=> cos(TRS ) = 0.91
<=> ∠TRS = 25°
Apply The Law of Cosines to find the angle of RTS
<=> [tex]14^{2} = 11^{2} + 6^{2} - 2*11*6*cos(RTS)[/tex]
<=> cos(RTS) = ([tex]11^{2} + 6^{2} - 14^{2}[/tex]) / 2*11*6
<=> cos(RTS) = -0.29
<=> ∠RTS = = 107°
So we can find the measure of angle TSR
∠TSR= 180° - 107° - 25°
∠TSR= 48°
Using cosine law or sin law the angles of the triangle is as follows:
∠T = 107.2°
∠S = 48.6°
∠R = 24.2°
Using cosine rule,
Cosine rulet² = r² + s² - 2rs cos TTherefore,
14² = 6² + 11²- 2 × 6 × 11 cos T
196 - 36 - 121 = -132 cos T
cost T = 39 / - 132
T = cos⁻¹ -0.29545454545
T = 107.184793175
T = 107.2°
Sine ruleTherefore, let's find angle S using sine law
s / sin S = t / sin T
11 / sin S = 14 / sin 107.2
11 sin 107.2 = 14 sin S
sin S = 10.5080619833 / 14
S = sin ⁻¹ 0.75057585595
S = 48.6397771973
S = 48.6°
R = 18 0 - 48.6 - 107.2 = 24.2
R = 24.2°
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What is StartFraction (9.3 times 10 Superscript 34 Baseline) Over (3.1 times 10 Superscript 17 Baseline) EndFraction in scientific notation? 3 times 10 Superscript 2 3 times 10 Superscript 17 6.2 times 10 Superscript 2 6.2 times 10 Superscript 17
Answer:
3x10^17
Step-by-step explanation:
its b *3 times 10 Superscript 17*
Step-by-step explanation:
George is building a fence around a rectangular dog run. He is using his house as one side of the run. The area of the dog run will be 240 square feet. The length of the run is 30 feet, and the width is (30 minus x) feet. The diagram below shows his plan. Recall the formulas for area and perimeter: A = lw and P = 2l + 2w.
Answer:
B. 68 feet
Step-by-step explanation:
So you realize that 30 + 30 + w + w = P. We likewise realize the territory is 240 square feet. Gap 240 by 30 to discover the width of the territory. 240/30 = 8. w = 8. So include 30 + 30 + 8 + 8 to find that P = 76. Notwithstanding, recall that George is utilizing some portion of his home as a divider rather than a fence. So take away 8 from 76 to get 68 ft. George will require 68 ft. of fencing for his dog run.
Answer: (B) 68.
Have a great day!
Which formula can be used to find the volume of the
cylinder? Check all that apply.
A=(d)(h)
V=B(h)
V=(1)(w)(h)
V = 2(2)(h)
V =(77)(y-2)(h)
Intro
Done
Answer:
2 and 5
Step-by-step explanation:
Triangle FGH wasdilated using a scale factor of 1/2 to create triangle PQR
which statement is true?
Answer:
D. Side FG is two times the length of side PQ.
Step-by-step explanation:
Because FGH was dilated by a scale factor of 1/2 to create PQR, that means that every side of FGH is two times the side lengths of PQR.
2. A cereal box has dimensions of 2 in., 5 1/3 in., and 10 3/4in. If the box contains 8 servings, how much volume does each serving take up?
Answer:
About 14.33 inches²
Step-by-step explanation:
To find the volume of the cereal box, we need to multiply the length, width, and height by each other:
2*5.33333...*10.75=114.66...
Now we divide the volume by the serving amount, 8.
114.66.../8=14.33...
Each serving is about 14.33 in²
Okay, First Of all, the dude above me is wrong.
The Correct Answer Is 14 1/3
Explanation;
5 1/3 = 16/3
10 3/4 = 43/4
Now let's do the math:
43/4 * 5 1/3 = 688/12
688 divided by 12 = 57 R 4 = 57 4/12
57 4/12 = 57 1/3
57 1/3 divided by the number of servings (8) = 14 1/3
So, 14 1/3 is the amount of volume each serving takes up.
You want to know how many students in your school are going to the volleyball game. You survey 50 students. Ten are going to the game. The rest are not going to the game.
A. Identify the population.
B. Identify the sample.
The population is all the students in the school.
The sample is the 50 students that were asked if they were going to the game.
Since i do not know the amount of people in the school I will tell you another thing.
Every 50 students that are surveyed 10 are going to the game and 40 are not so 10/50 are going to the game or 1 in 5 students will go to the game (1/5)
So take the amount of people in the school and do this -
Say there are 200 that would be 40 people going to the game because
200 / 50 = 4 that would be 4 surveys (that would be 10 people from each survey going to the game) So, 4 x 10 (10 from each survey) Would be 40 people so use this to find you're answer I hope it helps you.
Start by dividing the total people in the school by 50 and for whatever number you get multiply it by 10.
Find the area of the triangle.
5
13
Given h(x) = 2x - 1, find h(-1).
Answer:
h(-1) =-3
Step-by-step explanation:
h(x) = 2x - 1
Let x = -1
h(-1) = 2(-1) -1
h(-1) = -2-1
h(-1) = -3
help me out. i’m stuck.
Answer:
4
Step-by-step explanation:
b^4 /4
Let b=2
2^4 /4
16/4
4
John and tim are driving opposite directions on the same road.John is driving 15 mph and Tim is driving 22 mph.How long will it take for them to be 407 miles apart
Answer:
11 hours
Step-by-step explanation:
John's velocity: 15mph
Tim's velocity: 22mph
in one hour of driving John will be 15 miles away from the starting point, and Tim will be 22 miles away from the starting point.
Thus, after one hour they will be
15 + 22 = 37 miles apart.
We can represent this on the following table:
Distance(miles) time (hours)
37 ⇔ 1
And since we need to know the time when they are at a distance of 407 miles:
Distance(miles) time (hours)
37 ⇔ 1
407 ⇔ x
where x represnts the time
we solve this problem using rule of three: multiply the cross quantities on the table (407 and 1) and divide by the remaining amount (37):
x = 407*1/37
x = 407/37
x = 11
it will take 11 hours for them to be 407 miles apart.
8y - 1-/2 ( 4y - 16)
Answer:
2.(3y+4)
Step-by-step explanation:
1/2
8y-1/2.(4y -16))
3.1
4y-16=4.(y-4)
5.1 6y +8 =2•(3y+4)
final answer 2•(3y+4)
You can get $24 for working 3 hours. One day you got $40, how long did you work?
Answer: 5 hours
Step-by-step explanation:
If you get $24 for 3 hours divide them 24 divided by 3 is 8
you get 8 dollars every hour.
40 divided by 8 is 5
so you worked for 5 hours.
hope this works!!
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05.02 MC)
On a road, a bike sign in the shape of an isosceles trapezoid is to be painted. The sign and its dimensions are shown below. What is the area of the sign?
A right trapezoid is shown with a height labeled 5 feet and one of the bases labeled as 8 feet, and the other base is labeled as 6 feet.
30 square feet
35 square feet
45 square feet
50 square feet
Add the two bases together, divide by 2 then multiply by the height.
8+6 = 14
14/2 = 7
7x5 = 35
The area is 35 square Feet
how do i do this? the interquartile range? please help!
Answer:
20
Step-by-step explanation:
Find the value of X in the triangle shown below
Answer:
102°
Step-by-step explanation:
Since the triangle is an isosceles triangle, two sides are equal and angle opposite to them are also equal.
Therefore, x°+39°+39°=180°
=> x°+78° = 180°
=> x° = 180-78° = 102°
write 27/5 as a mixed number
Answer:
[tex]5\frac{2}{5}[/tex]
Step-by-step explanation:
brainliest?
Answer:
2/5
Step-by-step explanation:
formula =numerator (top number) divided by denominator (bottom number), remainder over denominater. = 27 divided by 5 ( = 5 ) and 2 over 5. hope this answers your question :)
in Connecticut the sales tax rate is 6.35% find sales tax amount and the total price of a pillow that costs $ 8.00
To calculate the sales tax for an $8.00 pillow in Connecticut, convert the 6.35% tax rate to decimal and multiply it with the pillow's price, then round to the nearest cent and add to the original price. The sales tax is $0.51, making the total price $8.51.
To find the sales tax amount and the total price of an $8.00 pillow in Connecticut, with a sales tax rate of 6.35%, follow these steps:
First, convert the percentage to a decimal by dividing by 100. So 6.35% becomes 0.0635.
Next, multiply the pillow's price by this decimal to calculate the sales tax amount. That is $8.00 * 0.0635 = $0.508.
Since you need to round to the nearest penny, round $0.508 to $0.51.
Finally, add the sales tax to the original price to get the total cost. So the total price is $8.00 + $0.51 = $8.51.
The sales tax on an $8.00 pillow is $0.51, and the total price including tax is $8.51.
Solve −5+1/4x=3x+6 by graphing.
Answer:
hope its right lol
To solve the equation -5+1/4x=3x+6 by graphing, rewrite the equation, graph it, and identify where the line crosses the x-axis. This x-coordinate represents the solution. If the line doesn't cross the x-axis, there's no solution.
Explanation:To solve the equation −5+1/4x=3x+6 by graphing, begin by rewriting the equation as 1/4x − 3x = 6 + 5. This simplifies to -2.75x = 11. Next, graph the equation y = -2.75x + 11 on a coordinate plane.
To find the x-coordinate for the solution, see where the line crosses the x-axis (meaning y = 0). This will give you your solution, which is the value of x that makes the equation true.
However, you may find that graphing the given equation results in a line that does not intersect the x-axis. This means the equation has no solution when y equals to zero.
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Answer:
[tex]k=5[/tex]
Step-by-step explanation:
[tex]18 + 8k = 58\\\\\text {Subtract 18 from both sides.}\\\rightarrow 18-18+8k=58-18\\\boxed {8k=40}\\\\\text {Divide by 8 on both sides.}\\8k/8 = 40/8\\\boxed {k=5}[/tex]
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please help, I'm being timed, will mark brainliest
Your family moves from Tennessee to California. After a few weeks, you notice that temperatures are much cooler in California than they were in Tennessee.
Which factors cause these cooler temperatures? Check all that apply.
being closer to the ocean
being farther from the ocean
ocean currents bringing cooler air
ocean currents bringing warmer air
mountain ranges
Answer:
Ocean Currents bringing cooler air.
Step-by-step explanation:
Being closer to the ocean is also right but this one makes both right.Being closer to the cold ocean brings colder air.
The cooler temperatures observed on moving from Tennessee to California could be due to:
being closer to the oceanocean currents bringing cooler airWhat factors affect average temperature of an area?Temperature is the degree of coldness or hotness of an object or a particular place.
The temperature of an area is affected by:
climatic conditions ocean currentsmountain rangesCalifornia is area that is closer to the oceans.
Therefore, the cooler temperatures observed on moving from Tennessee to California could be due to:
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Harold wants to put decorative tape around the side of a cube box with a volume of V.which expression gives the length of the tape
Answer:
Length of the tape = Length of the side of the Cube = ³√ V
Step-by-step explanation:
The Volume of a cube box = s³
Where s = length of the side of a cube.
The units of a cube is given as cubic units.
From the question, we were told, a decorative tape was placed at the side of the cube.
Since the volume of a cube is designated as V,
The length of the tape is equivalent to the side of a cube.
Therefore, Since V = s³
Length of the tape = Length of the side of the cube is derived as :
V = s³
Find the cubic root of both side
³√ V = ³√ s³
s = ³√V
Therefore the Length of the tape = Cubic root of the Volume of the cube and it is expressed mathematically as :
s = ³√V
Answer:
4[tex]\sqrt[3]{V}[/tex]
Step-by-step explanation:
This is the correct answer off imagine math
Yasmin arrived home from play practice at 4:25 p.M. The walk home took 15 minutes. Practice began 20 minutes after the final bell and lasted for a half hour. When did school school end?
Answer:
School ended at 3:20 pm
Step-by-step explanation:
The school ended at the same time as the final bell. We will call this time "x". After 20 minutes the practice began, therefore it began at "x + 20 min" and it lasted for 30 min, therefore it ended at "x + 50 min". She took an additional 15 minutes to get home, therefore she got home at "x + 65 min" or "x + 1h05min". We know that she arrived at 4:25, so:
x + 1:05 = 4:25
x = 4:25 - 1:05
x = 3:20 p.m.
School ended at 3:20 pm
yoko is driving her motorhome it uses 4 gallons of gas for every 24 miles she travels
Answer:
2nd box: 6
3rd box for the miles: 42
4th box: 9
5th box for the miles: 60
Step-by-step explanation:
just multiply the number of gallons by six to get the number of miles and divide the number of miles by 6 to get the number of gallons. Hope this helped!
The complete table is
number of galloons 4 6 7 9
Distance 24 36 42 54
What is proportionality?Constant of proportionality is the constant value of the ratio between two proportional quantities. Two varying quantities are said to be in a relation of proportionality when, either their ratio or their product yields a constant.
The value of the constant of proportionality depends on the type of proportion between the two given quantities: Direct Variation and Inverse Variation.
Direct Variation: The equation for direct proportionality is y = kx, which shows as x increases, y also increases at the same rate. Example: The cost per item(y) is directly proportional to the number of items(x) purchased, expressed as y ∝ xInverse Variation: The equation for the indirect proportionality is y = k/x, which shows that as y increases, x decreases and vice-versa. Example: The speed of a moving vehicle (y) inversely varies as the time taken (x) to cover a certain distance, expressed as y ∝ 1/xGiven:
number of galloons 4 x 7 z
Distance 24 36 y 54
Now, taking first
=4/24
=1/6
Now, using proportionality
1/6 = x/36
6x = 36
x= 6
By continuing this way
y= 7 x 6
y= 42
z= 54/6
z= 9
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ASAP PLEASE! A windshield wiper blade turns through an angle of 135 degrees. The bottom of the blade traces an arc with a 9-inch radius. The top of the blade traces an arc with a 23-inch radius. To the nearest inch, how much longer is the top arc than the bottom arc? HELP
Answer:
33 inches to the nearest inch.
Step-by-step explanation:
Length of an arc = rC where r = the radius and C is the angle through which it turns in radians.
So for the 23 inch radius: length = 23 * 135 * π / 180
and for the 9 inch radius: length = 9 * 135 * π / 180
The difference = 23 * 135 * π / 180 - 9 * 135 * π / 180
= 14 * 135 * π / 180
= 32.99 inches.
The nearest inch, the top arc is approximately 33 inches longer than the bottom arc.
To find out how much longer the top arc is than the bottom arc, we need to calculate the lengths of both arcs and then find the difference between them.
The formula to calculate the length of an arc is:
[tex]\[ \text{Arc length} = \text{radius} \times \text{angle in radians} \][/tex]
First, we need to convert the angle from degrees to radians, since the formula for arc length uses radians.
[tex]\[ \text{Angle in radians} = \frac{\text{Angle in degrees} \times \pi}{180} \][/tex]
[tex]\[ \text{Angle in radians} = \frac{135 \times \pi}{180} \][/tex]
[tex]\[ \text{Angle in radians} = \frac{3\pi}{4} \][/tex]
Now, let's calculate the lengths of both arcs:
For the bottom arc (with radius 9 inches):
[tex]\[ \text{Arc length}_\text{bottom} = \frac{27\pi}{4} \][/tex]
Now, to the nearest inch, we can approximate the difference:
[tex]\[ \text{Difference} \approx 10.5 \times 3.14 \][/tex]
[tex]\[ \text{Difference} \approx 32.97 \][/tex]
Rounded to the nearest inch, the top arc is approximately 33 inches longer than the bottom arc.