Answer: x=20 y=43
Step-by-step explanation:
That little symbol in <1 means that the angle is a right angle, which is = to 90° so
<1 = 90°
133-y = 90 solve for y by subtracting 133 from both sides
-y = -43 divide by -1 on both sides
y=43
Because all 3 angles make a line, which is 180, and you know <1 = 90 then <2+<3=90 as well.
<2+<3=90
22 + x + 48 =90 simplify
70 + x =90 subtract 70 from both sides
x=20
there are 93 calories in a small cupcake. how many calories are there in a half dozen small cupcakes?
Answer:
6
Step-by-step explanation:
If Tristen buys 14 t-shirts for $78.40. What is the
constant of proportionality?
Answer:
The constant is that each 14 t-shirts you need to pay 78.40$
Step-by-step explanation:
If you divide 78.40 between the 14 t-shirts you get 5,39$, whiwh would be the price of a t-shirt.
i) Given that a = 1, b = 3, c = 7, evaluate abc
Hope it helps
If we weren't given the values of the variables, it would be impossible to simplify the expression any further.
Luckily, we are given the value of each of the three variables.
The value of a is 1 :
1bc
or
bc
The value of b = 3 :
3c
Finally, the value of c is 7 :
3*7
21
Evaluated Expression ↓21
Uing the model of upply and demand, conider the market for navel orange. Illutrate the
impact on the market for navel orange if (i) the price of Cutie (a type of mandarin orange) fall
while (ii) change to the Clean Water Act mean that citru farmer have to adopt new expenive
farming practice to avoid nutrient runoff harming the environment. Explain the change to the
navel orange market, drawing concluion about expected change to the market price and
quantity for navel orange
Cuties and naval oranges are interchangeable, therefore when Cuties' price drops, more mandarin oranges will be consumed by consumers, increasing the demand for naval oranges .
As the Mandarin oranges are an alternative for navel oranges, a decrease in the price of Mandarin oranges will result in more people purchasing Mandarin oranges.
The Federal Water Pollution Control Act Amendments of 1972 were passed in response to growing public knowledge of and concern over water pollution (33 U.S.C. 1251 et seq.).
This law was modified in 1977 (P.L. 95-217), and as a result, it became known as the Clean Water Act (CWA).
Given constant levels of the other determinants—tastes, income, prices of related goods, expectations, and the number of buyers—the demand curve is defined as the relationship between the price of the good and the amount or quantity the consumer is willing and able to purchase in a given time period.
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Which of the following graphs contain the vertex and point below?
vertex (-2, 4), point (2, 84)
a) y = 5(x - 2)2 + 4
c) y = 5(x + 2)2 + 4
b) y = 84(x + 2)2 - 4
d) y = 2(x - 2)2 + 4
The day you were born your parents invested $5,000 in CD account (Certificate of Deposit).
The account pays 0.88% annual interest rate. How much money will be in your account by
your high school graduation (18 years)?
Plz help. I need an answer and explanation step by step plz
Answer:
You will have $5,792 in your account by your high school graduation
Step-by-step explanation:
Simple Interest
Interest calculated on the original principal only of a loan or on the balance of an account.
Unlike compound interest where the interest earned in the compounding periods is added to the new principal, simple interest only considers the principal to calculate the interest.
The interest earned is calculated as follows:
I=P.r.t
Where:
I = Interest
P = initial principal balance
r = interest rate
t = time
The parents invested P = $5,000 in CD account that pays r=0.88% annual interest rate. The rate must be converted to decimal, thus r=0.88/100 =0.0088.
We are required to calculate the total money in the account after t=18 years.
First, we calculate the interest:
I = $5,000 * 0.0088 * 18
I = $792
Adding interest to the principal, we have the future balance in the account:
A = $5,000 + $792 = $5,792
You will have $5,792 in your account by your high school graduation
i don't understand how to solve it
Step-by-step explanation:
f(-4) = 5x
f(-4) = 5 . -4
f( -4) = -20
same for the
f(1)
At a certain time of day, a 40-foot building casts a 8 foot shadow. How tall is a person who casts a 2 foot shadow? A. 4 feet B. 6 feet C. 8 feet D. 10 feet
Answer:
D. 10 feet
Step-by-step explanation:
40/8 = x/2 --> cross multiply
8x = 80
x = 10
Option D is correct, the person who casts a 2 feet shadow is 10 foot tall.
What is Ratio?A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0.
Given that At a certain time of day, a 40-foot building casts a 8 foot shadow.
We need to find how tall is a person who casts a 2 foot shadow.
Let x be the height of the person.
Let us form a proportional equation
40/8=x/2
Apply cross multiplication
80=8x
Divide both sides by 8
x=10
Hence, the person who casts a 2 foot shadow is 10 foot tall.
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The water needs of a small farm are to be met by pumping water from a well that can supply water continuously at a rate of 4 L/s. The water level in the well is 20 m below the ground level, and water is to be pumped to a large tank on a hill, which is 58 m above the ground level of the well. A 5-cm internal diameter plastic pipe with a total length of 420 m is used to pump the water. All the losses in the system can be accounted by a head loss equal to 34.3 m. Taking the efficiency of the pump to be 75%, determine the power required to operate the pump.
The power required to operate the pump is approximately 0.0604 kilowatts
The power required to operate the pump, we need to consider the work done against gravity and the head loss in the system.
First, let's calculate the difference in elevation between the well and the tank:
Elevation difference = Height of the tank - Depth of the well
Elevation difference = 58 m - (-20 m)
Elevation difference = 78 m
Next, let's calculate the total head loss in the system, taking into account the head loss given as 34.3 m:
Total head loss = Elevation difference + Head loss
Total head loss = 78 m + 34.3 m
Total head loss = 112.3 m
Now, let's calculate the flow rate of water through the pipe using the given diameter:
Radius of the pipe = 5 cm / 2 = 2.5 cm = 0.025 m
Cross-sectional area of the pipe = π × (0.025 m)² = 0.00196 m²
Given that the water is pumped at a rate of 4 L/s, which is equivalent to 0.004 m³/s, we can calculate the velocity of water:
Velocity of water = Flow rate / Cross-sectional area
Velocity of water = 0.004 m³/s / 0.00196 m²
Velocity of water ≈ 2.041 m/s
Now, let's calculate the power required to operate the pump using the equation:
Power = (Flow rate × Total head loss) / Pump efficiency
Flow rate = 0.004 m³/s
Total head loss = 112.3 m
Pump efficiency = 75% = 0.75
Power = (0.004 m³/s × 112.3 m) / 0.75
Power ≈ 0.0604 kW
Therefore, the power required to operate the pump is approximately 0.0604 kilowatts.
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need some help......
Some one help me before I fail this class.
35 because you can not multiply both numbers by the same number to get a smaller Greatest common multiple
You should distinguish elements of your data visualization by _____ the foreground and background and using contrasting colors and shapes. This makes the content more accessible.
You should distinguish elements of your data visualization by strategically positioning the foreground and background and utilizing contrasting colors and shapes.
To effectively distinguish elements in your data visualization, you should differentiate the foreground and background by using contrasting colors and shapes. This makes the content more accessible and easier to understand for the viewers. This approach helps to improve the visual hierarchy of the content and make it more accessible to viewers. By choosing contrasting colors and shapes, you can emphasize important data points and draw attention to key insights, making it easier for your audience to understand the information presented in your visualization.
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...I don’t understand umm can anyone help me smh-
question 19in this list of numbers, what is the median? 97, 96, 95, 93, 93, 90, 87, 86, 84, 78, 75, 74, 70, 68, 65.9383.48680
The median of the given list of numbers is 87.
To find the median of a list of numbers, we arrange them in ascending order and identify the middle value.
If there is an odd number of values, the median is the middle number. If there is an even number of values, the median is the average of the two middle numbers.
First, let's arrange the numbers in ascending order:
65.9, 68, 70, 74, 75, 78, 84, 86, 87, 90, 93, 93, 95, 96, 97, 380, 486, 680
There are 17 numbers in the list, which is an odd number. The middle number is the 9th number in the list, which is 87.
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You anticipate retiring in 30 years and believe that it will cost you $2,500 a month to live comfortably. You also believe that you will live for 25 years after you retire. Assume that the applicable interest rate is 3% with quarterly compounding. a. How much do you need to have in your savings account when you retire? b. If you make equal bi-weekly payments into your savings account to fund your retirement, what would be the value? c. List and explain the three main reasons why a dollar now in worth more than a dollar in the future.
To retire comfortably in 30 years, you need to have approximately $779,551.77 in your savings account. If you make equal bi-weekly payments, the value of your savings account would be around $775,175.49. A dollar now is worth more than a dollar in the future due to the time value of money , inflation, and the potential for investment opportunities.
a. You need to have $779,551.77 in your savings account when you retire.
b. The value of your savings account, assuming equal bi-weekly payments, would be $775,175.49.
c. The three main reasons why a dollar now is worth more than a dollar in the future are: 1) Time value of money, 2) Inflation, and 3) Investment opportunities.
a. To calculate the amount you need to have in your savings account when you retire, we can use the future value formula for a series of regular payments with quarterly compounding:
FV = PMT * [(1 + r/n)^(nt) - 1] / (r/n)
Given:
PMT (monthly expense) = $2,500
Interest rate (r) = 3% or 0.03 (annual rate)
Number of years of retirement (t) = 25
Number of quarters in a year (n) = 4
Substituting the values into the formula:
FV = $2,500 * [(1 + 0.03/4)^(4*25) - 1] / (0.03/4)
FV ≈ $779,551.77
Therefore, you need to have approximately $779,551.77 in your savings account when you retire.
b. To calculate the value of your savings account if you make equal bi-weekly payments, we can use the future value formula for a series of regular payments with quarterly compounding:
FV = PMT * [(1 + r/n)^(nt) - 1] / (r/n)
Given:
PMT (bi-weekly payment) = ? (to be calculated)
Interest rate (r) = 3% or 0.03 (annual rate)
Number of years until retirement (t) = 30
Number of quarters in a year (n) = 4
To find the value of the bi-weekly payment (PMT), we can rearrange the formula:
PMT = FV * (r/n) / [(1 + r/n)^(nt) - 1]
Substituting the values into the formula:
PMT = $779,551.77 * (0.03/4) / [(1 + 0.03/4)^(4*30) - 1]
PMT ≈ $775.25
Therefore, if you make equal bi-weekly payments into your savings account, the value would be approximately $775,175.49.
c. The three main reasons why a dollar now is worth more than a dollar in the future are:
1) Time value of money: Money has the potential to earn interest or be invested, so a dollar received today is worth more than the same amount received in the future. The value of money decreases over time due to factors like inflation and opportunity cost.
2) Inflation: Inflation erodes the purchasing power of money over time. The cost of goods and services tends to increase, meaning that a dollar in the future will not be able to buy as much as a dollar today.
3) Investment opportunities: By investing money, it has the potential to grow over time. Therefore, a dollar invested today can generate returns and increase in value, making it more valuable than a dollar in the future.
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Thanks for the help UwU
Answer:
a is the answer you are looking for
Step-by-step explanation:
A
Answer:
C
Step-by-step explanation:
The equation is y = 75x + 250. The y intercept is 250, and it is stated that Carlos bought the phone for $250.
use induction to prove xn k=3 (2k − 1) = n 2 − 4 for all positive integers n ≥ 3.
By mathematical induction, the statement, n^(n) * (2n - 1) = n^2 - 4 is true for all positive integers n ≥ 3.
Base case: For n = 3, we have:
3^(3) * (2(3) - 1) = 27 * 5 = 135
3^(2) - 4 = 9 - 4 = 5
So the statement is true for n = 3.
Inductive step: Assume that the statement is true for some arbitrary positive integer k ≥ 3. That is,
k^(k) * (2k - 1) = k^2 - 4
Now we want to show that the statement is true for k+1. That is,
(k+1)^(k+1) * (2(k+1) - 1) = (k+1)^2 - 4
First, let's simplify the left-hand side:
(k+1)^(k+1) * (2(k+1) - 1) = (k+1) * k^k * (2k+1) * 2
= 2(k+1) * k^k * (2k+1)
= 2k^k * (2k+1) * (k+1) * 2
= 2k^k * (2k+1) * (2k+2)
= 2k^k * (4k^2 + 6k + 2)
= 8k^(k+2) + 12k^(k+1) + 4k^k
Now let's simplify the right-hand side:
(k+1)^2 - 4 = k^2 + 2k + 1 - 4
= k^2 + 2k - 3
Now we want to show that the left-hand side is equal to the right-hand side. So we need to show that:
8k^(k+2) + 12k^(k+1) + 4k^k = k^2 + 2k - 3
Let's first isolate the k^2 and 2k terms on the right-hand side:
k^2 + 2k - 3 = (k^2 - 4) + (2k + 1)
= k^k * (2k - 1) + (2k + 1)
Now we can substitute in our inductive hypothesis:
k^k * (2k - 1) + (2k + 1) = k^k * (k^2 - 4) + (2k + 1)
= k^(k+2) - 4k^k + 2k + 1
= k^(k+2) + 2k^(k+1) - 4k^k + 2k - 2k^(k+1) + 1
= 8k^(k+2) + 12k^(k+1) + 4k^k - 6k^(k+1) + 2k - 2
So we have shown that:
8k^(k+2) + 12k^(k+1) + 4k^k = k^2 + 2k - 3
Therefore, by mathematical induction, the statement is true for all positive integers n ≥ 3.
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Southeastern Bell stocks a certain switch connector at its central warehouse for supplying field service offices. The yearly demand for these connectors is 15,400 units. Southeastern estimates its annual holding cost for this item to be $24 per unit. The cost to place and process an order from the supplier is $74. The company operates 300 days per year, and the lead time to receive an order from the supplier is 2 working days.
The economic order quantity (EOQ) for the switch connectors is approximately 97 units.
To determine the economic order quantity (EOQ) for the switch connectors, we can use the following formula:
EOQ = √((2 * Annual Demand * Order Cost) / Holding Cost)
Given the following information:
Annual Demand = 15,400 units
Holding Cost = $24 per unit
Order Cost = $74 per order
Plugging in the values into the formula, we get:
EOQ = √((2 * 15,400 * 74) / 24)
EOQ = √(227,200 / 24)
EOQ = √(9,466.67)
EOQ ≈ 97.28
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Quick please will give brainliest to correct answer please and thank you.
Answer:
y = - 2x + 2
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m =
with (x₁, y₁ ) = (4, - 6) and (x₂, y₂ ) = (0, 2 )
m = = = = - 2
The line crosses the x- axis at (0, 2 ) ⇒ c = 2
y = - 2x + 2 ← equation of line
what is the answer need help
Answer:
-5 ≤ y ≤ 3
Step-by-step explanation:
The range of a function is all the possible values that y can be. We can carefully look at the graph to determine the range. It looks like the greatest y can be is 3, since that's the point on the graph where the function stops going up. Now we can trace down the function to find the least y can be.
It looks like the least y can be is -5, since that's the bottom value of the function. Which option uses says that -5 is the least y can be, and 3 is the greatest y can be?
It looks like -5 ≤ y ≤ 3 is this option, so we can select it as our answer.
Hopefully this was helpful... if you have any more questions, let me know. :)
\(\((\frac{\sqrt2}{2} )\)\\\)
Answer:
what? did you type this wrong?
Step-by-step explanation:
solve for
please help due today!!
Answer:
87°--------------------
Use the Inscribed Angle theorem, which states that:
The measure of an inscribed angle is half the measure of the intercepted arc.Find the angle measure of ∠PNM, considering the intercepted arc is PLM:
m∠PNM = (mPLM)/2m∠PNM = (360° - mPNM)/2m∠PNM = (360° - [64° + 122°])/2m∠PNM = 174°/2m∠PNM = 87°whats 58% of 200 Show your work
Answer:
116
Step-by-step explanation:
58% of 200 = \(\frac{58}{100}*200\)
= 58 * 2
= 116
Answer:
\(58\% \: of \: 200 \: is \: 116\)
Love, gocry
When light arrives and leaves a reflecting surface the angle with the line perpendicular to the surface is what?
Answer:
the angle of reflection is the angle between the reflected wave and the "normal" (the perpendicular line to the reflecting surface).
Step-by-step explanation:
Answer:
The angle which the light leaves or bounces off a surface is angle of reflection.
Step-by-step explanation:
has two types of light rays. The incoming ray and the outgoing, or reflected, ray. The angle between the incident ray and an imaginary perpendicular line drawn to the surface of the mirror is called the angle of incidence.
W
Which inequality represents this problem?
• Jerry has $30 in his savings account, and he deposits $6 each month.
• Amber has $80 in her savings account, and she does not make any
additional deposits or withdrawals.
After how many months, m, will Jerry have more money in his account than
Amber?
OA. 80> 30 + 6m
OB. 30+6m> 80 + 6m
OC. 6+30m> 80
OD. 30+ 6m> 80
Joe overheard 5 girls talking about how much they love princess movies and reaches the conclusion that all girls love princess movies. this is an example of___________.
The situation described, where Joe overheard 5 girls talking about their love for princess movies and then concluded that all girls love princess movies, is an example of a hasty generalization.
A hasty generalization occurs when a person makes a broad assumption or generalization based on a small or limited sample size. In this case, Joe is assuming that all girls share the same interest in princess movies based on the opinion of only 5 girls.
It is important to recognize that not all girls have the same preferences and interests, and it would be more accurate to gather a larger and more diverse sample before making such a conclusion.Making hasty generalizations can lead to inaccurate or unfair judgments.
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From previous experience, the owner of an apple orchard knows that the mean weight of Gala apples is 140 grams. There has been more precipitation than usual this year, and the owner believes the weights of the apples will be heavier than usual. The owner takes a random sample of 30 apples and records their weights. The mean weight of the sample is 144 grams with a standard deviation of 13.2 grams. A significance test at an alpha level of produces a P-value of 0.054. What is the correct interpretation of the P-value
In statistical hypothesis testing, the P-value is a significant factor. It is the probability of obtaining a test statistic at least as extreme as the one calculated from the data, assuming the null hypothesis to be true. If the null hypothesis is false, the P-value is the probability of a type I error. It is the probability of rejecting the null hypothesis when it is true.
To interpret the P-value correctly, a P-value of 0.054 means that if the null hypothesis is correct, there is a 5.4% probability that the sample will produce a test statistic as extreme as, or more extreme than the one that was observed. If the calculated P-value is higher than the significance level, which is usually 0.05 or 0.01, we cannot reject the null hypothesis.
In the given situation, the sample provides insufficient evidence to reject the owner's claim that the mean weight of Gala apples this year is heavier than usual because the calculated P-value is higher than the significance level. Hence, the correct option is that the P-value suggests that there is not sufficient evidence to reject the null hypothesis.
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find dy/dx by implicit differentiation. y sin(x2) = x sin(y2)
The derivative dy/dx of the equation ysin(x^2) = xsin(y^2) is given by (sin(y^2) - ycos(x^2)2x) / (sin(x^2) - 2yxcos(y^2)).
In the given equation, y and x are both variables, and y is implicitly defined as a function of x. To find dy/dx, we differentiate each term using the chain rule and product rule as necessary.
Differentiating the left-hand side of the equation, we apply the product rule to ysin(x^2). The derivative of ysin(x^2) with respect to x is dy/dxsin(x^2) + ycos(x^2)*2x.
Differentiating the right-hand side of the equation, we apply the product rule to xsin(y^2). The derivative of xsin(y^2) with respect to x is sin(y^2) + x*cos(y^2)2ydy/dx.
Now we have two expression for the derivative of the left and right sides of the equation. To isolate dy/dx, we can rearrange the terms and solve for it.
Taking the derivative of ysin(x^2) = xsin(y^2) with respect to x using implicit differentiation yields:
dy/dxsin(x^2) + ycos(x^2)2x = sin(y^2) + xcos(y^2)2ydy/dx.
By rearranging the terms, we can solve for dy/dx:
dy/dx * (sin(x^2) - 2yxcos(y^2)) = sin(y^2) - y*cos(x^2)*2x.
Finally, we can obtain the value of dy/dx by dividing both sides by (sin(x^2) - 2yxcos(y^2)):
dy/dx = (sin(y^2) - ycos(x^2)2x) / (sin(x^2) - 2yxcos(y^2)).
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To prove ABC is isosceles, which of the following
statements can be used in the proof?
000
A
C
E
AE = EB
ZCAB= ZCBA
8
mCB==m/CAB
mAC+mCB+mBA = 180
By using the statements AE = EB, ∠CAB = ∠CBA, and mCB = mCAB, we can prove that triangle ABC is isosceles. The following statements can be used to prove that triangle ABC is isosceles:
AE = EB
∠CAB = ∠CBA
mCB = mCAB
To prove that AE = EB, we can use the fact that an altitude of a triangle bisects the base. This means that AD divides BC into two segments of equal length, BD and CD. Since AE and EB are the projections of AD onto AB and AC respectively, they must also be equal in length.
To prove that ∠CAB = ∠CBA, we can use the fact that the angles opposite equal sides of a triangle are equal. Since AE = EB, we know that ∆AED and ∆CEB are congruent by SSS. This means that ∠AED = ∠CEB, and since ∠AED + ∠CEB = ∠CAB + ∠CBA, we have ∠CAB = ∠CBA.
To prove that mCB = mCAB, we can use the fact that the base angles of an isosceles triangle are equal. Since ∠CAB = ∠CBA, we know that ∆ABC is isosceles, and therefore mCB = mCAB.
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Find the distance between (-2,7) and (3, -3). Round to the nearest tenth. Geometry please help
Answer:
15
Step-by-step explanation:
The formula for distance when given vertices is
√(x2 - x1)² + (y2- y1)²
Where we have points (x1,y1) and (x2,y2)
So, (-2,7) and (3, -3)
Distance = √(3 -(-2))² + (-3 -7)²
= √5² + (-10)²
= √25 + 100
= √125
= 15
Therefore, the distance between (-2,7) and (3, -3) is 15