Answer:
Listed below:
Step-by-step explanation:
P: 192
A:2079
B. Area
C. Perimeter
Hope this helps :)
Please someone help for either one!
A tank contains 500 liters of water in which 300 grams of corn sugar is dissolved. Freshwater is then pumped into the tank at a rate of 5 L/min. The well-mixed solution is pumped out at the same rate. Find the number of grams of corn sugar that is in the tank at time .
Answer:
800g of letters of water is need
Find the equation of the line with slope m=3/5 that contains the point (−5,−6).
Answer:
y = 3/5x - 1
Step-by-step explanation:
y = mx + b
m = slope
m = 3/5
to find the y - intercept we have to make x = 0 by adding or subtracting
in this case it is +5
add five to both x and y
\((-5, -6) + (5, 5) = (0, -1)\)
the y intercept focuses on what y is when x is 0
the y intercept in this case is -1
Original Price = $ 120, %Markup = 4%
So what’s the price?
Answer:
124.8
Step-by-step explanation:
120*.04=124.8
i mark as brainliest
Answer:
A. 47,139
Step-by-step explanation:
You just count up.
Simplify to a single trig function or constant with no fractions.
We can simplify cosec(t)tant(t) to sec(t). A trigonometric function is a mathematical function that relates the angles of a triangle to the ratios of its sides.
The most common trigonometric functions are sine (sin), cosine (cos), tangent (tan), cotangent (cot), secant (sec), and cosecant (csc).
To simplify the expression cosec(t)tant(t), we need to use the trigonometric identity:
cosec(t) = 1/sin(t)
tant(t) = sin(t)/cos(t)
Substituting these expressions into the original expression, we get:
cosec(t)tant(t) = (1/sin(t))(sin(t)/cos(t))
The sin(t) term in the numerator and denominator cancel out, leaving:
cosec(t)tant(t) = 1/cos(t)
Recalling the definition of secant, sec(t) = 1/cos(t), we can express the simplified expression as:
cosec(t)tant(t) = 1/sec(t)
Therefore, we can simplify cosec(t)tant(t) to sec(t).
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When the football play started, Andre ran forward 20 yards, then turned around and ran 5 yards back. He stood in that spot for 3 seconds, then walked back to where he began.
Is the following graph an accurate representation of Andre's distance as a function of time?
Yes or no?
The graph matches the description of Andre's distance as a function of time. Hence, the graph is accurate.
The graph given is a distance time graph which shows how a body moves through a certain distance during a particular interval of time. The peak distance reached is 20 yards. Turning back 5 yards is also depicted with a regression in the peak distance.
Also, the period where there was no change in the distance for 3 seconds was also showcased before walking back to a starting position denoted by the point along the origin.
Hence, the graph is correct.
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Write all prime numbers between 10 and 20
Answer:
11,13,17,19
Step-by-step explanation:
Answer:
11 , 13 , 17 and 19
Step-by-step explanation:
good luck :)
(4/16^(y_2)×(1/4)^y=64(^_2y_1)
Find the value of y?
\(4 \times {16}^{ - (y - 2) } \times {4}^{ - y} = ({4})^{ ({3})^{ (- 2y - 1)} } \\ \)
\(4 \times ({4})^{ ({2})^{(y - 2)} } \times {4}^{ - y} = {4}^{ - 6y - 3} \)
\(4 \times {4}^{(2y - 4)} \times {4}^{ - y} = {4}^{ - 6y - 3} \)
\( {4}^{1 + 2y - 4 - y} = {4}^{ - 6y - 3} \\ \)
\( {4}^{y - 3} = {4}^{ - 6y - 3} \)
Thus ;
\(y - 3 = - 6y - 3\)
Plus sides 3
\(y - 3 + 3 = - 6y - 3 + 3\)
\(y = - 6y\)
Plus sides 6y
\(y + 6y = - 6y + 6y\)
\(7y = 0\)
Divided sides by 7
\( \frac{7}{7}y = \frac{0}{7} \\ \)
\(y = 0\)
_________________________________
Check :
\(0 - 3 = - 6(0) - 3\)
\( - 3 = 0 - 3\)
\( - 3 = - 3\)
Thus this is the correct value.
Done.....♥️♥️♥️♥️♥️
Help me pls pls pls pls
Answer:
greater than or equal
Step-by-step explanation:
4. = 38 -8(n-1), n=1, 2, 3...
Answer:
\(38-8\left(n-1\right),\:n=123:\quad -938\)
\(\mathrm{For}\:38-8\left(n-1\right)\:\mathrm{substitute}\:n\space\mathrm{\:with\:}\space123\)
\(38-8(123-1)= -938\)
\(-938\)
Step-by-step explanation:
find 100th term if first is 2 and the recursive rule is 5
Answer:
502
Step-by-step explanation:
100 * 5 + 2 = 505
Answer:
To find the 100th term of the sequence, we need to use the recursive rule and iterate it 99 times, since we are starting at the first term and need to get to the 100th term.
The recursive rule is given as 5, which means each term in the sequence is equal to the previous term times 5. Therefore:
The first term is 2.
The second term is 2 * 5 = 10.
The third term is 10 * 5 = 50.
The fourth term is 50 * 5 = 250.
And so on...
Iterating this rule 99 times gives us:
The 100th term is 2 * 5^99, which is approximately equal to 6.33825300114 × 10^66.
Therefore, the 100th term of the sequence starting with 2 and with a recursive rule of 5 is approximately 6.33825300114 × 10^66.
Students performed in a play on a Friday and a Saturday. For both performances. adult tickets cost a dollars each and student tickets costs dollars each. On Friday, they sold 125 adult tickets and 65 student tickets, and collected $1.200. On Saturdas, they sold 140 adult tickets and 50 student tickets, and collect $1,230. Write a system of equations to represent this relationship.
The system of equations is
125a + 65s = 1200
140a + 50s = 1230
What is an equation?
An equation is a mathematical statement that proves two mathematical expressions are equal in algebra, and this is how it is most commonly used. In the equation 3x + 5 = 14, for instance, the two expressions 3x + 5 and 14 are separated.
125a + 65s = 1200
140a + 50s = 1230
-3500a - 1820s = -33600
3500a + 1250s = 30750
-570s = -2850
s = $5
student
125a + 65(5) = 1200
125a + 325 = 1200
125a = 875
a = $7 adult
the other situation means that they didn't do it right at all
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Tiffany bought some boots that were on sale for $95.20. The boots were originally priced at $119. What was the percent discount of the boots? Show your work and then write your answer in a complete sentence.
Tiffany bought some boots that were on sale for $95.20. The boots were originally priced at $119. What was the percent discount of the boots? Show your work and then write your answer in a complete sentence.
we know that
$119 -------> represent the 100%
Find out the difference
119-95.20=$23.80
Applying proportion
Find out the percent discount
so
100/119=x/23.80
solve for x
x=(100/119)*23.80
x=20%
therefore
the percent discount of the boots was 20%12 (x² + y2) when x = 1 and y = 2
Answer:
60
Step-by-step explanation:
12(1^1+2^2)
1*1=1
2*2=4
12*1=12
12*4=48
12+48=60
Find the midpoint of the line segment from (1,-1) to (2,4)
Answer: (1.5, 1.5)
Step-by-step explanation:
In a Gallup poll of randomly selected adults, 66% said that they worry about identity theft. For a group of 1013 adults, the mean of those who do not worry about identify theft is closest to:
Answer:
\(Mean = 344\)
Step-by-step explanation:
Given
\(Population = 1013\)
Let p represents the proportion of those who worry about identity theft;
\(p = 66\%\)
Required
Mean of those who do not worry about identity theft
First, the proportion of those who do not worry, has to be calculated;
Represent this with q
In probability;
\(p + q = 1\)
Make q the subject of formula
\(q = 1 - p\)
Substitute \(p = 66\%\)
\(q = 1 - 66\%\)
Convert percentage to fraction
\(q = 1 - 0.66\)
\(q = 0.34\)
Now, the mean can be calculated using:
\(Mean = nq\)
Where n represents the population
\(Mean = 1013 * 0.34\)
\(Mean = 344.42\)
\(Mean = 344\) (Approximated)
A family is having a pool party built in their backyard. If the Yard is rectangular and measures 10x by 10x in the pool is circular with a radius of 2x how much of the yard will be left over after the pool is built. Write your answer in factored form
1. (100-4pi)x^2
2. 100x^2-4pi(x)^2
3. (100+4pi)x^2
4. 100x^2+4pi(x)^2
Literally have the same question on my test and i dont know if i got it right or wrong. I know it has nothing to do with this :/ im sorry.
How do you do this problem?
Answer:
55°
Step-by-step explanation:
In the triangle towards the bottom-left, we can see that it is an iscosceles triangle, which means that the two angles opposite of those two sides are also equal. Along with this, a triangle will also only have 180° for the sum of all of its angles.
When you put another x in the angle next to the 37°, you get an equation similar to:
\(x+x+37+33 = 180\\2x + 70 = 180\\2x = 110\\x = 55\)
x in this case will then be 55 degrees.
The value of your father’s car when bought was $30,000. If it loses 10% of its value every year, how long until the vehicle is only worth $20,000?
Answer:
6.7
Step-by-step explanation:
10% of 30000
10/100 x 30000
0.10 x 30000
=3000
In order to find how long you have to divide 20k with 3k
20000/3000 = 6.66666667
Round it up and you get 6.7
if P = (4,2), Find: Rx=3 (P). Pls help!!
The coordinates of the reflected point P' will be (4, -3).
When a point is reflected over the x-axis, its y-coordinate changes sign.
In this case, the point P has coordinates (4,3).
To reflect it over the line x=3, we need to keep its x-coordinate the same and change its y-coordinate to its opposite.
So, the x-coordinate of the reflected point will still be 4, but the y-coordinate will become -3.
Therefore, the coordinates of the reflected point P will be (4, -3).
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Answer:
Step-by-step explanation:
Factor 9x2+24x+16
Enter your answer in the boxes.
9x2+24x+16= ( answer here )2
Answer:
(3x + 4)^2
Step-by-step explanation:
9x^2 + 24x + 16
Let's use middle term break method to factor this polynomial.
In Quadratic Factorization using Splitting of Middle Term which is x term is the sum of two factors and product equal to last term. Factor each pair by finding common factors.
we nee two number which give 144 wh3n multiplied and 24 when added.So, 12 and 12 is the number because 12*12=144 and 12+12=24.
9x^2 + (12+12)x +16
9x^2 +12x +12x +16
take common
3x(3x + 4) +4(3x +4)
take (3x + 4) as common
(3x +4)(3x*1 +4*1)
(3x +4)(3x +4)
(3x +4)^2
Answer:
2 (17+12x)
Step-by-step explanation:
See image below:)
Sammy wants to buy a new stereo priced at $413. He enters into an
agreement to pay $20 a month for 24 months. How much will the finance
charge be for this purchase?
Answer:
$840
Step-by-step explanation:
20×24=840 so you divide $20 and 24 months and get 840
The annual rate, r, it takes for 1 dollar to grow to X dollars in 2 years is given by the formula X = (1+r) ².
Find the rate necessary for a dollar to triple in 2 years.
The rate of interest is 73%.
What is the annual rate?
The term annual percentage rate of charge refers to the interest rate for an entire year rather than just a monthly fee or rate as applied on a loan, mortgage loan, credit card, etc. It can also be referred to as a nominal APR or an effective APR. It is an annual rate of a finance charge.
Given that 1 dollar to grow to X dollars in 2 years is given by the formula X = (1+r) ².
A dollar to triple in 2 years.
Thus putting X = 3 in X = (1+r) ²
3 = (1+r) ²
Take square root on both sides:
√3 = 1 + r
Subtract 1 from both sides:
r = √3 - 1
r = 0.73
r = 73%
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what is the answer for
2[32-(4-1)3]
\( \large\sf \longrightarrow \: 2 \: [ \: 32- \: (4-1) \: 3 \: ] \\ \)
\( \large\sf \longrightarrow \: 2 \: [ \: 32- \: (3) \: 3 \: ] \\ \)
\(\large \sf \longrightarrow \: 2 \: [ \: 32- \: 3 \times \: 3 \: ] \\ \)
\(\large \sf \longrightarrow \: 2 \: [ \: 32- \: 9 \: ] \\ \)
\( \large\sf \longrightarrow \: 2 \: [ \: 23 \: ] \\ \)
\( \large\sf \longrightarrow \: 2 \: \times 23 \\ \)
\( \large\sf \longrightarrow \: 46 \\ \)
Q1) (a) (i) Write x²+8x-9 in the form (x+k)² +h.
PLEASE ANSWER QUICKLY!!!!!
Answer:
(x+4)^2 -25
Step-by-step explanation:
x²+8x-9 in the form (x+k)² +h.
We need to complete the square.
x^2 +8x -9
Take the coefficient of x.
8
Divide by 2.
8/2 =4
Square it.
4^2 = 16
Add this then subtract i.
x^2 +8x+16 -16 -9
The x^2 +8x+16 becomes (x+4) ^2 and we can simplify the remaining terms.
(x+4)^2 -25
find the slope and y intercept of y = -2x -18
Answer:
Slope = -2
y-intercept = -18
Step-by-step explanation:
In y=mx+b, m is the slope and b is the y-intercept. With that being said, this will mean that -2 is the slope and -18 is the y-intercept.
Hope this helps you :)
emily has $100 extra to spend on supplies for her T-shirt-making business. she wants to buy ink, i, which costs $8 a bottle, and ne brushes, b, which are $18 each. which inequality below represents this scenario?
(c) 15i + 4b ≥ 100 inequality represents this scenario.
To represent the scenario described in the problem, we need to use an inequality that relates the amount of money Emily spends on ink and brushes to the total amount of money she has available. Let's call the amount of ink Emily buys "x" and the number of brushes "y". Then the total amount of money she spends is:
Total cost = 8x + 18y
We want to know when this total cost is less than or equal to $100, so we can write:
8x + 18y ≤ 100
This inequality means that the total cost of ink and brushes must be less than or equal to the amount of money Emily has available. Therefore, the answer is (c) 15i + 4b ≥ 100.
Correct Question :
Emily has $100 extra to spend on supplies for her T-shirt-making business. She wants to buy ink, i, which costs $8 a bottle, and ne brushes, b, which are $18 each. Which inequality below represents this scenario?
a) 4i+100 ≤ 15b
b) 15i + 4b ≤ 100
c) 15i + 4b ≥ 100
d) 4i + 15b ≤ 100
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Solve the system of equations using the substitution or elimination method.
y = 4x - 7
4x + 2y = -2
.
Show your work
Correct x and y
The solution to the system of equations is x = 1 and y = -3.
To solve the system of equations using the substitution or elimination method, let's start with the substitution method.
Given equations:
y = 4x - 7
4x + 2y = -2
We'll solve equation 1) for y and substitute it into equation 2):
Substituting y from equation 1) into equation 2):
4x + 2(4x - 7) = -2
4x + 8x - 14 = -2
12x - 14 = -2
Now, we'll solve this equation for x:
12x = -2 + 14
12x = 12
x = 12/12
x = 1
Now that we have the value of x, we can substitute it back into equation 1) to find y:
y = 4(1) - 7
y = 4 - 7
y = -3
Therefore, the solution to the system of equations is x = 1 and y = -3.
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A pizza chain plans to locate a new pizza franchise on the CCSU campus if the results of a survey show that more than 10% of CCSU students would eat there at least once a week. Suppose the company is about to carry out a hypothesis test. 7.
a. State the hypotheses.
b. Clearly state, in terms of this particular problem, what a Type I error would mean.
c. Describe possible consequences of a Type I error in this situation.
d. Clearly state, in terms of this particular problem, what a Type II error would mean.
e. Describe possible consequences of a Type II error in this situation.
Answer:
a) Null and alternative hypothesis:
\(H_0: \pi=0.1\\\\H_a:\pi>0.1\)
b) A Type I error is made when a true null hypothesis is rejected. In this case, it would mean a conclusion that the proportion is significantly bigger than 10%, when in fact it is not.
c) The consequences would be that they would be more optimistic than they should about the result of the investment, expecting a proportion of students that is bigger than the true population proportion.
d) A Type II error is made when a false null hypothesis is failed to be rejected. This would mean that, although the proportion is significantly bigger than 10%, there is no enough evidence and it is concluded erroneously that the proportion is not significantly bigger than 10%
e) The consequences would be that the investment may not be made, even when the results would have been more positive than expected from the conclusion of the hypothesis test.
Step-by-step explanation:
a) The hypothesis should be carried to test if the proportion of students that would eat there at least once a week is significantly higher than 10%.
Then, the alternative or spectulative hypothesis will state this claim: that the population proportion is significantly bigger than 10%.
On the contrary, the null hypothesis will state that this proportion is not significantly higher than 10%.
This can be written as:
\(H_0: \pi=0.1\\\\H_a:\pi>0.1\)