Answers
Answer:
s = -1
Step-by-step explanation:
7 = -10s -3 <== add 3 to both sides
+3 + 3
10 = -10s <== divide both sides by -10
/-10 /-10
-1 = s
Final answer: -1 = s or s = -1
Hope this helps!
Related Questions
y=5x-3 input and output
Answers
Answer:
y out put x input and 3 is input and as 5 . tell me if you get it right
can someone help me plss the deadline is tmrw
Answers
Answer:
73.77 ft²
Step-by-step explanation:
Area of circle - area of square
= πr² - (length × width)
= (3.14 × 8.1²) - (11.5 × 11.5)
= 73.7654
≈ 73.77 ft²
hope this helps =)
Answers:
Circle area = 206.02 square feetUnshaded area = 132.25 square feetShaded area = 73.77 square feetThe "square feet" portions are already handled by your teacher, so you'll just type in the numbers only.
======================================================
Explanation:
The formula for the area of a circle is
A = pi*r^2
We replace pi with its approximation 3.14, and plug in the radius r = 8.1 to get the following approximate area:
A = 3.14*(8.1)^2
A = 206.0154
A = 206.02 which is the answer to the first box
--------------------------
The unshaded region is a square of side length 11.5 ft
Its area must be (11.5)^2 = 132.25 square feet
--------------------------
Subtract the results of the previous boxes to get the shaded area.
206.02 - 132.25 = 73.77
H
This diagram shows a semicircle with diameter MP
M
What is the approximate area of the shaded part?
OA. 33.8 cm²
OB. 235.3 cm²
O C. 102.7 cm²
OD. 36.3 cm²
O
Type here to search
F
12 cm
13 cm
✔
5 cm
O
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MTWTR
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(8
Answers
Answer:
D 36.6
Step-by-step explanation:
Here, there is a triangle inscribed inside of a semicircle where the triangle is unshaded and the remained of the semicircle is shaded and we want to find the area of that shaded untouched area of the semicircle.
To do so we must find the area of the two shapes individually and then subtract the area of the triangle from the area of the semi circle as the triangle is what is uncovering the semicircle.
Finding the area of the semicircle
Area of a semicircle = (πr²)/2 where r = radius
Here we are given the diameter of the semicircle which is 13cm. We can easily convert the diameter to radius by dividing it by 2 as the radius is equal to half the diameter
Radius = 1/2 diameter , so radius = 13 / 2 = 6.5cm
We have A = πr²/2
==> plug in radius or r = 6.5
A = π(6.5)²/2
==> simplify exponent
A = π(42.25)/2
==> multiply π and 42.25 ( note that π = 3.14 approximately
A = 132.665/2
==> divide 132.665 by 2
A = 66.366
So the area of the semicircle is 66.366cm²
Finding the area of the triangle
The area of a triangle can be calculated by dividing the product of the base length and height ( formula = bh / 2 where b = base length and h = height )
Here the base length appears to be 5cm and the height appears to be 12cm so b = 5 and h = 12
So we have A = bh/2
==> plug in b = 5 and h = 12
A = (12)(5)/2
==> multiply 12 and 5
A = 60 / 2
==> divide 60 by 2
A = 30
So the area of the triangle is 30cm²
Subtracting the area of the triangle from the area of the semicircle
Finally to find the area of the shaded region we subtract the area of the triangle from the area of the semicircle
We have area of triangle = 30cm² and area of semicircle = 66.366
So area of shaded region = 66.366 - 30 = 36.366
D , 36.6 is closest to our answer therefore the answer is D
In which quadrants is tangent positive?
A. II and IV
OB. I and III
OC. I and II
OD. I and IV
Answers
The quadrants in which the tangent is positive are I and III.
Option B is the correct answer.
What are trigonometric identities?There are three commonly used trigonometric identities.
Sin x = Perpendicular / Hypotenuse
Cosec = Hypotenuse / Perpendicular
Cos x = Base / Hypotenuse
Sec x = Hypotenuse / Base
Tan x = Perpendicular / Base
Cot x = Base / Perpendicular
We have,
Tangent is defined as the ratio of the opposite side to the adjacent side of a right triangle.
It is positive when the opposite side and the adjacent side are both positive or both negative.
In the first quadrant (I), both the opposite and adjacent sides are positive, so the tangent is positive.
In the second quadrant (II), the opposite side is positive and the adjacent side is negative, so the tangent is negative.
In the third quadrant (III), both the opposite and adjacent sides are negative, so the tangent is positive.
In the fourth quadrant (IV), the opposite side is negative and the adjacent side is positive, so the tangent is negative.
Therefore,
The quadrants in which the tangent is positive are I and III.
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Are the triangles similar?
Answers
Answer:
No, because the sides lengths are not proportional.
Step-by-step explanation:
What is the SAS similarity theorem ?By definition, two triangles are similar if all their corresponding angles are congruent and their corresponding sides are proportional.
What is the AA similarity theorem ?If two angles of one triangle are respectively equal to two angles of another triangle, then the two triangles are similar.
They both have an angle of 70°This lies between sides of 6/9 and 9/18 respectively for the triangles6/9 = 2/3 and 9/18 = 1/2Hence, the sides are not proportionalThey are not similarA tire company measures the tread on newly-produced tires and finds that they are normally distributed with a mean depth of 0.98mm and a standard deviation of 0.35mm. Find the probability that a randomly selected tire will have a depth less than 0.50mm. Would this outcome warrant a refund (meaning that it would be unusual)?
Answers
The probability is that a randomly selected tire that has a depth less than 0.50 mm will be 0.085121.
What is a normal distribution?The Gaussian Distribution is another name for it. The most significant continuous probability distribution is this one. Because the curve resembles a bell, it is also known as a bell curve.
The z-score is a statistical evaluation of a value's correlation to the mean of a collection of values, expressed in terms of standard deviation.
A tire company measures the tread on newly-produced tires and finds that they are normally distributed with a mean depth of 0.98mm and a standard deviation of 0.35mm.
Then the probability is that a randomly selected tire has a depth less than 0.50 mm will be
The value of the z-score will be
z = (0.50 - 0.98) / 0.35
z = -1.3714
Then the probability will be
P(x < 0.50) = P(z < -1.3714)
P(x < 0.50) = 0.085121
More about the normal distribution link is given below.
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Vicky has a spinner divided into 9 equal sections that are labeled 1 though 9. She wants to compare the theoretical probability and the experimental probability of spinning an odd number. She spins the spinner 10 times and records the results in this list.
{2, 4, 1, 8, 7, 5, 3, 4, 1, 9}
**Note - There are 3 answers. You must select 3 answers.**
The theoretical probability of spinning an odd number is equal to ______. The experimental probability of spinning an odd number is equal to ______. Therefore, the theoretical probability of spinning an odd number is _____ the experimental probability of spinning an odd number.
Question 7 options:
2/3
3/5
less than
greater than
1/2
5/9
1/5
Suppose you toss a coin and then roll a number cube.
What is the sample space for the compound event?
Question 9 options:
H1 T1 H6 T6
H T 1 2 3 4 5 6
H1 T1 H2 T2 H3 T3 H4 T4 H5 T5 H6 T6
TH1 TH2 TH3 TH4 TH5 TH6
A restaurant is serving a special lunch combo meal that includes a drink, a main dish, and a dessert. Customers can choose from 5 drinks, 6 main dishes, and 3 desserts.
How many different combo meals are possible?
Customers can create ______ different lunch combo meals.
Question 10 options:
36
90
14
120
Frank opens several pea pods & counts the number of peas in each pod. He records the number peas per pod: 7,8,9,10,11 Number of times: 1,4,18,15,2. written as a percent, what is the experiment probability that the pea pod has 9 peas in it? 48.8% 45% 18% 12.5%
Answers
The theoretical probability of spinning an odd number is equal to 5/9.
The experimental probability is equal to 3/5.
The theoretical probability of is greater than the experimental probability.
The sample space is H1 T1 H2 T2 H3 T3 H4 T4 H5 T5 H6 T6.
The different combo meals that are possible is 90.
The experiment probability that the pea pod has 9 peas in it is 45%.
What are the probabilities?
Probability is used to determine how likely it is that an event would happen. Experimental probability is based on the result of an experiment that has been carried out multiples times
The theoretical probability of spinning an odd number = odd numbers between 1 and 9 / 9 = 5/9
The experimental probability = number of odd number / sample space
6/10 = 3/5
The different combo meals possible = 6 x 5 x 3 = 90
The experiment probability that the pea pod has 9 peas in it = number of pods with 9 peas / total number of peas
(18/40) x 100 = 45%
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You work at a restaurant and the head manager has sent you to purchase livestock for an experiment. You want to grow the meat for the food right at the restaurant. You have been given 500 gold coins to spend at the store to purchase the livestock. Each sheep costs 12 gold coins, while each chicken costs seven.
If you purchase 32 sheep, how many chickens can you buy? Show all of your work. Hint: you don’t have to spend every coin.
Write an inequality that represents this situation.
If you want to buy twice as many chickens as sheep, what is the maximum number of sheep you can buy? Show all of your work.
Make a graph of the inequality from #2. Remember to label all parts of the graph. Label the intercept points.
Part 2: The animals you bought for the restaurant are doing quite well. You purchased an initial flock of 30 sheep and 20 chickens. The chickens and sheep have been breeding very successfully, and the flocks are growing. The sheep breed at a rate so that they will double every year. The chickens breed faster than the sheep (it helps when you can lay multiple chicks from one hen at a time!) The population of the chickens multiplies by 2.2 each year. (For all of these problems round to the nearest animal.)
5. How many sheep will there be in five years? Show all of your work.
6. Create an exponential equation to represent this situation.
7. How many chickens will there be in eight years? Show all of your work.
8. Create an exponential equation to represent this situation.
9. During what year will there be more chickens than sheep? Show your work or explain how you know.
10. Plot the two curves on a graph together. Remember to label all parts of the graph.
11. What is the domain of each function?
12. What is the y-intercept for each function? Explain what this number means in the context of this situation.
13. Your field can support a maximum of 3000 animals before you run out of vegetation and space. During what year will you need to purchase more land to house the animals?
Answers
The number of chickens is 16 if you purchase 32 sheep and inequality is 12x + 7y ≤ 500.
What is an exponential function?
It is defined as the function that rapidly increases and the value of the exponential function is always a positive. It denotes with exponent [tex]\rm y = a^x[/tex]
where 'a' is a constant and a>1
Total coins = 500 gold coin
Each sheep costs 12 gold coins, while each chicken costs 7 gold coins.
If purchased 32 sheep, so the total cost for the 32 sheep:
= 32×12
= 384
Remaining gold coin = 500 - 384 = 116 gold coin
Number of chicken can purchase in 166 gold coin = 116/7 = 16.57 ≈ 16
Inequality for the above scenario:
Let x be the number of sheep and y be the number of chickens.
12x + 7y ≤ 500
If you want to buy twice as many chickens as sheep.
y = 2x
12x + 7y = 500
After solving both the equation:
x = 19.23 ≈ 19 (Number of sheep)
y = 38 (double the number of sheep)
For the part 2:
The exponential equation for the sheep:
[tex]\rm y = 30(2)^x^-^1[/tex]
After 5 years, plug x = 5
[tex]\rm y = 30(2)^4[/tex]
y = 480 sheep
The exponential equation for the chicken:
[tex]\rm y = 20(2.2)^x^-^1[/tex]
After 8 years, plug x = 8
[tex]\rm y = 20(2.2)^7[/tex]
y = 4988.71 ≈ 4988 chickens
Similarly, you can find the rest of the data using the above equation.
Thus, the number of chickens is 16 if you purchase 32 sheep and inequality is 12x + 7y ≤ 500.
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4. The chart above shows the results of survey taken by a movie theater. The theater asked what genre the mover goers preferred to see. If the theater owner asked 100 people, how many people would prefer Drama? Round to the nearest whole number. Show your work.
Answers
The Cost of operating the theater if there are 100 people at a show is 20,000Rs.
The theater is a place where the movies are shown on big screens and Speakers are used for the clear audio of the movie.
In a theater, there will be 3 to 4 shows for a movie or a different movie.
Theater can consist of 250 - 300 seats and can cost up to 250rs for a seat.
What is the meaning of cost?The average cost of a college education has gone up dramatically.
Consider a ticket cost of 200rs.
For 100 people in a show,
Cost = 200 × 100
Cost = 20,000.
Hence the cost of operating a theater if there are 100 people at a show is 20,000Rs.
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Find sin 2x if cos x=-2/3 and x is in quadrant 2
Answers
Answer:
-4√5/9.
Step-by-step explanation:
if cos x = -2/3 then sin x = √(1 - (-2/3)^2)
= √(5/9)
= √5/3.
(As x is in quadrant 2 sin x is positive).
So:
sin2x = 2 sin x cos x
= 2 * √5/3 * -2/3
= -4/3 * √5/3
= -4√5/9.
Suppose the U.S. president wants to estimate the proportion of the population that supports his current policy toward revisions in the health care system. The president wants the margin of error to be 0.02. Assume a 90% level of confidence. The president’s political advisors found a similar survey from two years ago that reported that 61% of people supported health care revisions
Answers
The sample size for part (a) is 540, and the sample size for part (b) is 543 if the margin of error is 0.05.
What is the margin of error(MOE)?It is defined as an error that provides an estimate of the percentage of errors in real statistical data.
The formula for finding the MOE:
[tex]\rm MOE = X \times \dfrac{s}{\sqrt{n}}[/tex]
Where Z is the z-score at the confidence interval
s is the standard deviation
n is the number of samples.
We know:
[tex]\rm MOE =Z \times\sqrt{ \dfrac{pq}{n}}[/tex]
We have MOE = 0.05, p = 46% = 0.46,
q = 1-p = 1-0.46 = 0.54
Z at 0.02(because 98% level of confidence) = 2.33
Plug this value in the formula we get:
[tex]0.05=2.33\times \sqrt{\dfrac{0.46\times 0.54}{n}}[/tex]
After solving:
n = 539.41 ≈ 540
If no estimate is given:
p = 0.5 and q = 0.5
[tex]0.05=2.33\sqrt{\dfrac{0.5\times 0.5}{n}}[/tex]
n = 542.89 ≈ 543
Thus, the sample size for part (a) is 540, and the sample size for part (b) is 543 if the margin of error is 0.05.
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Need Help please 3rd time posting this.
Answers
Side-edge is 20 cm : 4 ft(60.96cm)
Poster Area needed = (30.48*60.96)=1858cm2
Paper size = 10*20=200cm2
Need papers= 1858/200=9.3 ~10
.: 10 papers is needed for actual poster.
PLEASE HELP ASAP !
What is the solution to the inequality below?
|x| > 14
Answers
Case 1
x>14Case 2
-x>14x<-14Option A
It's impossible thing
"I was told I would receive a 15% credit on the fee to activate my service but I was still charged $50.00."
Answers
Answer:
Based on the given conditions;
50÷(1-15℅)
=50/1-0.15
=50/0.85
=1000/17
the length, breadth and height of a cuboid are in the ratio 5:4:2 if the volume of cuboid is 5000 cm,then what will be the surface of the area of the cuboid
Answers
Answer:
1900 cm²
Step-by-step explanation:
We can use the given ratios and volume to find the scale factor for the dimensions. Knowing the dimensions, we can compute the surface area using the formula for a cuboid.
__
dimensionsLet k represent the scale factor. Then the actual dimensions will be 5k, 4k, and 2k. The actual volume will be ...
V = LWH
5000 cm³ = (5k)(4k)(2k) = 40k³
k³ = (5000 cm³)/40 = 125 cm³
k = ∛(125 cm³) = 5 cm
The cuboid dimensions are 5(5 cm) = 25 cm, 4(5 cm) = 20 cm, and 2(5 cm) = 10 cm.
__
areaThe surface area of the cuboid can be computed from ...
A = 2(LW +H(L +W))
A = 2((25 cm)(20 cm) +(10 cm)(25 +20 cm))
A = 2(500 cm² +(10 cm)(45 cm)) = 2(950 cm²) = 1900 cm²
The surface area of the cuboid is 1900 cm².
Suppose we choose7 objects without replacement from 9 objects
Answers
Answer:
181 440Step-by-step explanation:
We have 9 choices for Choosing the first object
8 choices for Choosing the 2nd object
.
.
.
3 choices for Choosing the seventh object
Therefore if we want to choose7 objects without replacement from 9 objects we have : 9×8×7×6×5×4×3 = 181 440
Also ,we can calculate it this way :
9P7 = 181 440
Help please!!! Thanks!
Answers
The table shows the longest known rivers on Earth. How much longer is the Nile than the Amazon?
Answers
Answer:
135 mile difference
Step-by-step explanation:
The nile is 4132 miles long according to Gogle and The amazon is 3997 miles long according to gogle
PLEASE HELP?! IM SO CONFUSED!!
Answers
Answer:
C.
Step-by-step explanation:
-3 7/8 rounds down to -4
4.63 rounds up to 5
-4 x 6 + 5
-24 + 5
-19
her answer (-19.14) also rounds to -19
So yes, it is reasonable and the correct response is C.
solve the equation 1/x + 3/x =16
Answers
4/x = 16
4/16 = x
1/4 = x
[tex] \qquad \qquad \qquad \frac{1}{x} + \frac{3}{x } = 16[/tex]
This is how to solve your problem:
Combine fracrions with common denominator[tex] \qquad \qquad \frac{1}{x} + \frac{3}{x} = 16[/tex]
[tex] \qquad \qquad \frac{1 + 3}{ x} = 16[/tex]
Add the numbers[tex] \qquad \qquad \qquad\frac{1 + 3}{x} = 16[/tex]
[tex] \qquad \qquad\frac{4}{x} = 16 [/tex]
Multiply all terms by the same value to eliminate fraction denominators[tex] \qquad \qquad \qquad \color{skyblue}{ \frac{4}{x} = 16}[/tex]
[tex] \qquad \qquad \qquad \color{gold}{x .\frac{4}{x} = x.16}[/tex]
Cancel multiplied terms that are denominator[tex] \qquad \qquad \: x.\frac{4}{x} = x.16 [/tex]
[tex] \qquad \qquad 4 = x.16[/tex]
Re-order terms so constants are on the left[tex] \qquad \qquad4 = x.16[/tex]
[tex] \qquad \qquad 4 = 16x[/tex]
Divide boths sides by the same factor[tex] \qquad \qquad4 = 16x[/tex]
[tex] \qquad \qquad\frac{4}{16} = \frac{16x}{16} [/tex]
Simplifydivide the numbersCancel terms that are in both the numerator and denominatorMove the variable to the left[tex] \qquad \qquad x = \frac{1}{4} [/tex]
the final answer is :
[tex]x = \frac{1}{4} [/tex]
anyone understands this?
Answers
Answer:
4x+6
Step-by-step explanation:
i am pretty sure 4x+2
9
Calculate the square root of 9 and get 3.
4x+2×3
Multiply 2 and 3 to get 6.
4x+6
Il give people 50 points If they do this please
Answers
Answer:
a) Time spent, x (minute): 50 < x ≤ 60
b) Time spent, x (minute): 20 < x ≤ 30
Step-by-step explanation:
a) The modal class is the class interval with the highest frequency in a frequency table which is 21 (right column)
b) Find the total amount of Frequency:
12 + 18 + 11 + 9 + 8 + 21 = 79
to find mid number through the data set divided by 2:
79 / 2 = 39.5
so add up the frequency till you reach 39.5 (max)
12 + 18 = 30
30 + 11 = 41 this passes through 39.5 so the median is in the 3rd row
can someone help me? no fake answers my other questions are also worth 50 points each btw
Answers
Step-by-step explanation:
Let's simplify step-by-step.
(6)(6)x−60x+900
=36x+−60x+900
Combine Like Terms:
=36x+−60x+900
=(36x+−60x)+(900)
=−24x+900
Answer:
=−24x+900
Which relation is a function?
Answers
Answer:
A function means that we get one input and one output. In this example that means for every x-value that we have, we only have one y-value.
Looking at the first option, we can see that there is no x-value that has more than one y-value which means that it is a function.
The rest of the options are seen with at least two values for one x-value in one of the points. Therefore, they wouldn't be considered a function leaving us with only option A as the solution.
Please see attached question 12 of 25
Answers
option d. 37/2 ÷ 17/4 is correct.
Step-by-step explanation:
[tex]18\ \frac{1}{2} \div 4\ \frac{1}{4} [/tex]
If we have equation like this , we have to simply multiply the denominator with the first term and the product we will get , add the numerator .here we, multiply 2 with 18 and the product will be 36 , 36 + 1 = 37 . Similarly 4×4 = 16 and 16+ 1= 17 .We have to put denominator as it is.[tex] = > \frac{37}{2} \div \frac{17}{2} [/tex]
−11 ≤ −5; Add 16 to both sides
The resulting inequality is:
Answers
Answer:
True (-∞, ∞)
Step-by-step explanation:
−11 + 16 ≤ −5 + 16
5 ≤ 11
please help!!!!!
5) A box of chocolates contains four milk
chocolates and seven dark chocolates.
You randomly pick a chocolate and eat it.
Then you randomly pick another piece.
The first piece is milk chocolate and the
second piece is dark chocolate.
24
25
A)
≈ 0.264
B)
≈ 0.309
91
81
1-14-4
D) None of these
4
15
C)
E)
= 0.25
≈ 0.267
E
Answers
Answer:
D. none of these
Step-by-step explanation:
There are a total of 11 chocolates in the box.
The probability of picking milk chocolate first is 4/11.
Now that you eat one, there are 10 chocolates in the box.
The probability of picking a dark chocolate second is 7/10.
This is a compound probability problem, so multiply the two probabilities together.
4/11 x 7/10 = 28/110
Reduce by 2/2
14/55 = .2545
D. none of these
What is the difference in the costs for a one-night stay with and without breakfast?
Answers
Answer:
$23.12
Step-by-step explanation:
With breakfast included the total would be $142.99. Without breakfast it would be $119.87. So to get the difference it would be:
$142.99 - $119.87 = $23.12
Question 11(Multiple Choice Worth 5 points)
(03.06A LC)
Which statement is true for the equation 2x - 2x - 7 = -7?
It has infinitely many solutions.
It has two solutions.
It has one solution.
It has no solution.
Answers
Answer:
A) It has infinitely many solutionsStep-by-step explanation:
Given equation
2x - 2x - 7 = - 7Variables cancel and the equation simplifies as
- 7 = - 70 = 0Since we got both sides equal, it doesn't change with any value of x.
It means the equation has infinitely many solutions.
It has infinite solution
Out of 36 students in history class, three-fourths have signed up a trip to Europe? If there are 28 places available, will there be enough room?
Answers
36 x 3/4 = 27
So yes, 28 places is enough room
