Answer:
No, because there is only one set of congruent angles.
Step-by-step explanation:
I took the instruction, and this was the right answer!
Answer:
D
Step-by-step explanation:
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?
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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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?
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
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.
Which expression product is modeled by the tiles(2x+1)(x+1)
[tex](2x + 1)(x + 1)[/tex]
•Distribute
[tex](2x + 1)(x + )[/tex]
[tex]2x(x + 1) + 1( x + 1)[/tex]
•Distribute
[tex]2x(x + 1) + 1(x + 1)[/tex]
[tex]2x² + 2x1(x + 1)[/tex]
•Multiply
[tex]2x² + 2x + 1(x + 1)[/tex]
[tex]2x² + 2x + x + 1[/tex]
•Combine like terms
[tex]2x² + x + x + 1[/tex]
[tex]2x²+ 3x + 1[/tex]
Solution:
[tex]2x² + 3x + 1[/tex]
Explanation:
see the graph
Can someone please help me with this
Answer:
x=12
Step-by-step explanation:
Every triangle has interior degrees that all together add up to 180. We already know we have 50 degrees and 75 degrees, so we can subtract that to see how much we have left to work with. If we do that, we get 55 degrees left. Now, we have to set up a two step equation to find x:
5x-5=55
The first thing to do is to add 5 to both sides to get rid of -5:
5x-5=55
+5 +5
__ __
0 60
So now, it's 5x=60
Now, we have to isolate x. To do this, we have to divide both sides by 5. If you do this, you get:
x=12
Hope this helped!
Answer: b) x = 12
Step-by-step explanation:
The sum of a triangle's angles add up to 180°. We will add together all the angles, set them equal to 180°, and then solve.
Given:
(50°) + (75°) + (5x - 5°) = 180°
Combine similar terms:
120° + 5x = 180°
Subtract 120° from both sides of the equation:
5x = 60°
Divide both sides of the equation by 5:
x = 12
Your answer is;
b) x = 12
Il give people 50 points If they do this please
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
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
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
Help with functions!! Thanks!
Answer:
-2
2
Step-by-step explanation:
just use common sense. what does "local maximum" mean ?
it means a point, where the curve in the nearest neighborhood does not have a higher value. where the curve comes from smaller values, turns around and leaves with smaller values again.
(a) there is one point in this graph : at x = -2
(b) and that maximum value at that point is y = 2
y=5x-3 input and output
Answer:
y out put x input and 3 is input and as 5 . tell me if you get it right
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. 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)?
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
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On a place-value chart, you use exactly 12 counters to represent one decimal number and exactly 15 counters to represent another decimal number.
When you add the two numbers, you get a number you can represent with only 9 counters.
When you subtract the two numbers, you need more than 9 counters for the result.
• What could your numbers be For adding it be
• Explain how you came up with your numbers and why they work.
The possible number represented by the 9 counter is 27
How to determine the possible number?The counters are given as:
12 counters and 15 counters
When added, we get a number that can be represented by 9 counters.
This means that:
12 + 15 = 9x
Evaluate the sum
27 = 9x
Divide by 9
x = 3
When subtracted, you need more than 9 counters.
This means that:
x = 15 - 12 = 3
So, we conclude that the number is a multiple of 3 and 9
In other words, the decimal number is a multiple of 9 (i.e. 27)
Hence, the possible number is 27
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Which relation is a function?
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.
In which quadrants is tangent positive?
A. II and IV
OB. I and III
OC. I and II
OD. I and IV
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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At a raffle100 tickets are sold at $2 each for three prizes valued at $100,$ 50 and $25. What is the expected value of one ticket?
The expected value of one ticket at a raffle where 100 tickets are sold at $2 each for three prizes valued at $100,$ 50 and $25, $1.75.
What is the expected value?The expected value is used to calculate the weighted average of all the possible values of a random variable.
[tex]\sum_{i=1}^n=P_i\times V_i[/tex]
Here, P is the probability of winning a prize and V is the value of the price.
At a raffle, 100 tickets are sold at $2 each for three prizes valued at $100,$50 and $25. The probability of winning one person in 100 persons is,
[tex]P=\dfrac{1}{100}[/tex]
There are three prices of $100, $50 and $25. Thus, the ticket price expected to win is,
[tex]E=100\times\dfrac{1}{100}+50\times\dfrac{1}{100}+25\times\dfrac{1}{100}\\E=1+0.5+0.25\\E=1.75[/tex]
Thus, the expected value of one ticket at a raffle where 100 tickets are sold at $2 each for three prizes valued at $100,$ 50 and $25, is $1.75.
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−11 ≤ −5; Add 16 to both sides
The resulting inequality is:
Answer:
True (-∞, ∞)
Step-by-step explanation:
−11 + 16 ≤ −5 + 16
5 ≤ 11
anyone understands this?
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
Are the triangles similar?
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 similarSuppose 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
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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Determine the period
The cylinder shown has a volume of 30 cubic units. The
cone and the cylinder have the same height and the same
base. What is the volume of the cone?
S.
Cylinder. V = Th
Cone: V = : 1 / ²
Please help no links or you will get reported
The volume of the cone will be 10 cubic units.
What is volume?Volume is defined as the space occupied by any object in the three-Dimensions. All three parameters are required for the volume like length, width and height of the cube or cuboid.
Given that:-
The cylinder shown has a volume of 30 cubic units.The cone and the cylinder have the same height and the same base.The volume of the cone will be:-
Vc = Vcyl
[tex]\dfrac{1}{3} \pi r^2h\ \ \ =\ \ \pi r^2h[/tex]
Vc = (1 / 3) Vcyl
Vc = ( 1 / 3 ) x 30
Vc = 10 cubic units
Therefore the volume of the cone will be 10 cubic units.
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PLEASE HELP ASAP !
What is the solution to the inequality below?
|x| > 14
Case 1
x>14Case 2
-x>14x<-14Option A
It's impossible thing
Find sin 2x if cos x=-2/3 and x is in quadrant 2
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.
can someone help me? no fake answers my other questions are also worth 50 points each btw
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 is more effective, the Pythagorean Theorem or The Six Trigonometric
Ratios?
Both methods of solving for lengths of a right triangle are effective. That being said, the Pythagorean theorem is well-known and only requires a student to know one equation (as well as where the legs/hypotenuse should be plugged in). The six trigonometric ratios are also helpful, and over time are something that students begin to recognize when looking at right triangles.
I believe that the Pythagorean theorem is more effective because of its simplicity and wide application. The six trigonometric ratios will not apply to every right triangle, and require more memorization.
Hope this helps!
Select the correct answer.
A machine uses pieces of tape to seal packages. It cuts the tape Into pieces exactly 2.375 Inches long. If It uses 4 pieces of tape for a package,
how many packages can it seal with a roll of tape 1,900 Inches long?
OA
200 packages
OB. 400 packages
OC 600 packages
OD.
800 packages
Answer:
A. 200 packages
Step-by-step explanation:
The number of packages per roll can be found by dividing the length of a roll by the length of tape needed for each package.
__
For each package:
(2.375 in/piece)×(4 piece/package) = 9.5 in/package
Per roll:
(1900 in/roll) / (9.5 in/package) = (1900/9.5) packages/roll
= 200 packages/roll
The machine can seal 200 packages with a roll of tape 1900 inches long.
• footballs – There are 8 footballs.
• basketballs – Two more than twice the number of footballs are
basketballs.
• baseballs – Four less than 5 times the number of footballs are
baseballs.
• softballs – Six more than half of the baseballs are softballs
Type of Ball
Numerical Expression for the Number of Balls
Total Number of
Each Type of Ball
football (given) 8
basketball
baseball
softball
Mainly need the last part (Numerical Expression for the Number of Balls)
Answer:
8 futballs
basketballs 18
beisballs 36
softballs 24
Step-by-step explanation:
dos mas del doble (2) de balones de fut = 8x2 = 16, 16+2 = 18
cuatro menos de 5 veces las pelotas de fut = 8x5 = 40, 40-4 = 36
seis mas de la mitad de beis = 36/2 = 18, 18+6 = 24
LISTO
6. Find the height of a triangle with a
base of 4 cm and a hypotenuse of
11 cm. Round to the nearest tenth
of a centimetre. Show your work..
Answer:
Hope the picture will help you..............
What is 3/4 of two gallons
Answer:
1.5 gallons
Step-by-step explanation:
(3/4) × (2 gallons) = 1.5 gallons
HOPE THIS HELPS AND HAVE A NICE DAY <3
"I was told I would receive a 15% credit on the fee to activate my service but I was still charged $50.00."
Answer:
Based on the given conditions;
50÷(1-15℅)
=50/1-0.15
=50/0.85
=1000/17
A cylinder has a volume of 200 cm³. If the height of the cylinder is 10 cm, what is the radius of the cylinder
Answer:
2.5
Step-by-step explanation:
The radius of a cylinder formula is
R = √(V / π × h)Plug in
R = √(200 / 3.14 × 10)So . .
R = √(6.4)R = 2.5
( I rounded to the tenth decimal place so you know!)
