Answer:
Step-by-step explanation:
900000
+18765439
=27765439
Answer is 27765439
x = 4y + 3, 2x + y = -3
System of Equations
Answer:
(- 1, - 1 )
Step-by-step explanation:
Given the 2 equations
x = 4y + 3 → (1)
2x + y = - 3 → (2)
Substitute x = 4y + 3 into (2)
2(4y + 3) + y = - 3 ← distribute parenthesis and simplify left side
8y + 6 + y = - 3
9y + 6 = - 3 ( subtract 6 from both sides )
9y = - 9 ( divide both sides by 9 )
y = - 1
Substitute y = - 1 into (1) for corresponding value of x
x = 4(- 1) + 3 = - 4 + 3 = - 1
solution is (- 1, - 1 )
Angelique saved $60 to buy some stickers. stickers cost $3 apiece. angelique writes the expression 3(20−s) to find how much money she has left after buying some stickers, where s is the number of stickers she bought. dante correctly writes another expression, 60−3s, to find how much money angelique has left. drag each description to explain each part of both expressions.
When no transformation is necessary and the data from the source is transferred to the target field just as it is, you utilise the drag-and-drop capability to generate an expression.
What is an expression in math?Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation.An expression in mathematics is made up of numbers, variables, and functions (such as addition, subtraction, multiplication or division etc.) You may think of expressions as being comparable to phrases.A mathematical connection with no solution is shown by an expression. For instance, there is no equals sign in the phrase 6x+3, hence the problem cannot be solved.You must substitute a number for each variable and carry out the arithmetic operations in order to evaluate an algebraic statement.Reading up to down
1. 3 = The cost of one sticker
2. 20 = Total number of stickers Angelique can buy
3. s = Number of stickers Angelique bought
4. 20 - s = Number of stickers Angelique can buy with her remaining money
5. 60 = The amount of money Angelique saved
6. 3s = The amount of money Angelique spent on some stickers
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The tower of an ancient fortress 141 feets tall and casts a shadow that is 258 feets long. What is the angle of depression that the sun makes with the ground to create the shadow?
The angle of depression that the sun makes with the ground is 28.66°
Angle depression:
In trigonometry, angle depression refers the angle that is formed with the horizontal line if the line of sight is downward from the horizontal line.
Given,
The tower of an ancient fortress 141 feets tall and casts a shadow that is 258 feet's long.
Here we need to find the angle of depression that the sun makes with the ground to create the shadow.
While we looking into the given question, we know that,
Height = 141 feet
Length = 258 feet.
Then as per the concept of angle of depression,
=> θ = tan⁻¹ (141/258)
When we simplify this, then we get the value of θ = 28.66.
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What is the quotient of 2,173 ÷ 53
Answer:
41
Step-by-step explanation:
The formula for area of a triangle is given by: A=bh/2 Rearrange the formula to solve for b
Answer:
b = 2A
h
Step-by-step explanation:
A=bh/2
2A = bh
b = 2A
h
Answer:
b=(2a)/h
Step-by-step explanation:
Multiply both sides by 2
2A=bh
Divide both sides by h
(2a)/h=b
Find the sum:
15.07 +22.8
a. 37.01
b. 37.1
c.37.87
d. 37.78
Five years ago, someone used her $40,000 saving to make a down payment for a townhouse in RTP. The house is a three-bedroom townhouse and sold for $200,000 when she bought it. After paying down payment, she financed the house by borrowing a 30-year mortgage. Mortgage interest rate is 4.25%. Right after closing, she rent out the house for $1,800 per month. In addition to mortgage payment and rent revenue, she listed the following information so as to figure out investment return: 1. HOA fee is $75 per month and due at end of each year 2. Property tax and insurance together are 3% of house value 3. She has to pay 10% of rent revenue for an agent who manages her renting regularly 4. Her personal income tax rate is 20%. While rent revenue is taxable, the mortgage interest is tax deductible. She has to make the mortgage amortization table to figure out how much interest she paid each year 5. In last five years, the market value of the house has increased by 4.8% per year 6. If she wants to sell the house today, the total transaction cost will be 5% of selling price Given the above information, please calculate the internal rate of return (IRR) of this investment in house
Can you show the math as far as formulas go?
Given the following information: Five years ago, someone used her $40,000 saving to make a down payment for a townhouse in RTP. The house is a three-bedroom townhouse and sold for $200,000 when she bought it. After paying down payment, she financed the house by borrowing a 30-year mortgage.
Mortgage interest rate is 4.25%. Right after closing, she rent out the house for $1,800 per month. In addition to mortgage payment and rent revenue, she listed the following information so as to figure out investment return: 1. HOA fee is $75 per month and due at end of each year 2. Property tax and insurance together are 3% of house value 3. She has to pay 10% of rent revenue for an agent who manages her renting regularly 4. Her personal income tax rate is 20%. While rent revenue is taxable, the mortgage interest is tax deductible. She has to make the mortgage amortization table to figure out how much interest she paid each year 5. In the last five years, the market value of the house has increased by 4.8% per year 6.
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A number is multiplied by 4. That result is added to 12. The final number is 40 , what is the oringial number
Answer:
the original number is 7
Step-by-step explanation:
7•4 = 28
28+12=40
Answer:
. hope that will help you
Write an algebraic expression to model the unknown number problem.
the product of a number and fifteen
A 1-column table with 5 rows. Column 1 is labeled Multiplication Words with entries double, multiply, product, twice, times.
Which statements are true? Select that all apply.
You can replace ‘a number’ with a variable to represent an unknown value.
The product means the result of adding two numbers.
Product means the result of multiplying two numbers.
The coefficient is 15.
In algebraic notation, you can represent the product of a number and a variable by writing the number and variable next to each other.
Answer:
A. You can replace ‘a number’ with a variable to represent an unknown value.
C. Product means the result of multiplying two numbers.
D. The coefficient is 15.
E. In algebraic notation, you can represent the product of a number and a variable by writing the number and variable next to each other.
Step-by-step explanation:
EDGE 2020
The algebraic expression to model that "the product of a number and fifteen" is 15x, where x represents the unknown number. The statements A, C, and D are true.
What is the algebraic expression?Algebraic expressions are mathematical statements with a minimum of two terms containing variables or numbers.
The algebraic expression to model the unknown number problem "the product of a number and fifteen" is 15x, where x represents the unknown number.
From the given options, the following statements are true:
A. You can replace ‘a number’ with a variable to represent an unknown value.
C. Product means the result of multiplying two numbers.
D. The coefficient is 15.
B. is false because the product means the result of multiplying two numbers, not adding them.
E. is not necessarily true for all cases. The product of a number and a variable can be represented in different ways depending on the context and convention, such as using a dot or parentheses.
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d(n)=3(−2)\(^n^-^1\)
9514 1404 393
Answer:
d(4) = -24
Step-by-step explanation:
We assume your formula is intended to be ...
\(d(n)=3(-2)^{n-1}\)
This describes a geometric sequence with a first term of 3 and a common ratio of -2. That is, each term is -2 times the previous one. Then the first few terms of the sequence are ...
3, -6, 12, -24, 48, -96, ...
__
In case you're interested in the 4th term, it is -24.
Which of these pairs are like terms?
20 x, 0.8 x
17, 3 x
14 x, 14 x2
0.5 x, 0.5 y
The pair of algebraic expressions which are like terms is; 20x and 0.8x.
What are like terms?Algebraic expressions are pronounced as like terms if the terms contain the same variable raised to the same exponent.
check all options:
20x, 0.8x
same variable and exponent
17, 3x
Not same variable
14x, 14x²
Same variable, not same exponent
0.5x, 0.5y
Not same variable
On this note, it follows that the terms 20x and 0.8x are like terms.
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Quadratic Function Question
You are recently promoted as the chief traffic management officer of a major city in the country. Based on recent data, you learned that one of the leading causes of road accidents is overspeeding.
In your desire to minimize road accidents, you went out to observe how traffic management rules are implemented on the streets. Your attention was caught by a fast-moving car that seemed to be breaking the speed limit of 100 kilometers per hour(km/hr.), and so you followed it along the highway. After a short time, the driver of the car noticed you and started to slow down. Eventually, he stopped on the side of the road.
Supposed the speed of the car had been noted during this time and is modeled by the quadratic equation y = 3x² + 17x - 20, where y represents the speed of the car in km/hr. and x represents the number of minutes after you started following the car. How long did it take for the car to be under surveillance before it could finally stop on the side of the road? Did the driver of the car really break the speed limit of 100 km/hr.? Explain.
You will prepare an observation report highlighting whether it is necessary to come up with more stringent implementation of traffic rules based on the outcome of your analysis of the problem that you encountered on the road.
Answer:
anong grade po yan mam/sir?
7po yan
Point M is the midpoint of line segment CD,
shown below.
What are the coordinates of point M?
C (6,10)
M
D (20, 18)
Answer:
M(13, 14)-------------------------
Each coordinate of the midpoint is the average of endpoints:
x = (6 + 20)/2 = 26/2 = 13y = (10 + 18)/2 = 28/2 = 14Therefore M is (13, 14).
A nationwide survey found that 72% of people in the United States like pizza. If 3 people are randomly selected, what is the probability that all three like pizza?
The probability that all three randomly selected people in the United States like pizza is 37.52%.
To calculate the probability, we need to multiply the individual probabilities of each person liking pizza. Since the survey found that 72% of people in the United States like pizza, the probability that a randomly selected person likes pizza is 0.72. Therefore, the probability that all three selected individuals like pizza can be calculated as follows:
Probability of all three liking pizza = (Probability of the first person liking pizza) x (Probability of the second person liking pizza) x (Probability of the third person liking pizza)
= 0.72 x 0.72 x 0.72
= 0.373248
To convert this into a percentage, we multiply by 100:
0.373248 x 100 = 37.3248%
Rounding to two decimal places, the probability that all three randomly selected people in the United States like pizza is approximately 37.52%.
In summary, based on the nationwide survey, the probability of randomly selecting three people who all like pizza is approximately 37.52%.
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Maxine is projecting her cash flow budget for the coming month for her photography business. She charges $70 per session and is anticipating 20 sessions. Her beginning cash balance is $2,000. She is anticipating $900 in rent and $600 in supplies. What is her projected ending cash balance?
Maxine's projected ending cash balance is $1,900.
What is the basic arithmetic operations?
The basic arithmetic operations are addition, subtraction, multiplication, and division.
Maxine's projected cash inflow from 20 sessions at $70 per session is:
20 sessions x $70/session = $1400
Her total projected cash inflow is therefore $1400.
Her projected cash outflow is $900 for rent and $600 for supplies, for a total of:
$900 + $600 = $1500
Her beginning cash balance is $2,000.
To calculate her projected ending cash balance, we need to subtract her projected cash outflow from her projected cash inflow and add her beginning cash balance:
Projected ending cash balance = Beginning cash balance + Projected cash inflow - Projected cash outflow
Projected ending cash balance = $2,000 + $1,400 - $1,500
Projected ending cash balance = $1,900
Therefore, Maxine's projected ending cash balance is $1,900.
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Find the value of h(-67) for the function below.
h(x) = -49x − 125
A.
-3,408
B.
3,158
C.
3,283
D.
-1.18
Answer:
B. 3,158
Step-by-step explanation:
h(x) = -49x − 125
Let x = -67
h(-67) = -49(-67) − 125
=3283-125
= 3158
Answer:
Answer B
Step-by-step explanation:
To find the value of h(-67) for the function h(x) = -49x - 125,
we substitute -67 for x in the function and evaluate it.
h ( - 67 ) = - 49 ( - 67 ) - 125
Now we can simplify the expression:
h ( -67 ) = 3283 - 125
h ( -67 ) = 3158
The Riemann zeta function for real numbers is defined for all x for which the series below converges. Find the domain of the function. (Enter your answer using interval notation.)
(x)=infinite to n=1 (n^-x)
In interval notation, the domain is (1, ∞).
The Riemann zeta function for real numbers is defined as ζ(x) = ∑n=1 to ∞ (n^-x) for all x for which the series converges.
To find the domain of the function, we need to determine for which values of x the series converges.
Using the p-series test, we know that the series ∑n=1 to ∞ (n^-x) converges if x > 1. Therefore, the domain of the Riemann zeta function is x > 1.
In interval notation, the domain is (1, ∞).
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an industrial/organizational psychologist wants to improve worker productivity for a client firm, but first she needs to gain a better understanding of the life of the typical white-collar professional. fortunately, she has access to the 2008 workplace productivity survey, commissioned by lexisnexis and prepared by worldone research, which surveyed a sample of 650 white-collar professionals (250 legal professionals and 400 other professionals). one of the survey questions was, "how many work-related emails do you receive during a typical workday?" for the subsample of legal professionals (n
The survey data on work-related emails received by legal professionals will serve as a valuable resource for the industrial/organizational psychologist to gain insights into the email workload and design evidence-based interventions to enhance worker productivity for the client firm.
The industrial/organizational psychologist has access to the 2008 workplace productivity survey, which includes information on the number of work-related emails received by a sample of 650 white-collar professionals, including 250 legal professionals and 400 other professionals.
By analyzing the survey data, the psychologist can gain insights into the typical life of a white-collar professional and understand the specific challenges faced by legal professionals in terms of email communication.
The survey question, "How many work-related emails do you receive during a typical workday?" provides a quantitative measure of the email volume experienced by legal professionals.
By examining the responses of the legal professionals, the psychologist can determine the average and range of work-related emails received, as well as identify any patterns or trends. This information can be crucial in understanding the email overload and its potential impact on productivity for legal professionals.
By having a clear understanding of the email communication demands, the psychologist can develop targeted interventions and strategies to improve productivity, such as email management techniques, prioritization strategies, or even training programs aimed at optimizing email usage.
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Question 13 < > = If F(x) = f(g(x)), where f(-5) = 5, f'(-5) = 7, f'(4) = 3, 9(4) = -5, and g'(4) = 2, find F'(4). F'(4) = Question Help: Message instructor Submit Question
The simplified value of F'(4) = 14.
The solution provided above shows how to use the chain rule to find the derivative of the composite function F(x) = f(g(x)) at x = 4.
The chain rule is a formula for finding the derivative of a composite function, which involves taking the derivative of the outer function and multiplying it by the derivative of the inner function.
In this case, we are given information about the functions f and g, and we are asked to find F'(4), which is the derivative of F(x) evaluated at x = 4.
To do this, we first need to find the values of g(4) and f'(g(4)), which we can use to apply the chain rule.
Here to find F'(4), we will use the chain rule:
F'(x) = f'(g(x)) * g'(x)
So, to find F'(4), we need to find f'(g(4)) and g'(4).
We know that g'(4) = 2, so we just need to find g(4) to determine f'(g(4)).
To find g(4), we need to use the information we have about f and g:
F(x) = f(g(x))
We know that F(4) = f(g(4)), so we can solve for g(4):
F(4) = f(g(4))
f(g(4)) = f(g(4))
Since both sides are equal, we can take the derivative of both sides with respect to x:
F'(4) = f'(g(4)) * g'(4)
Now we just need to find f'(g(4)). We know that g(4) = 9(4) = -5, so we can substitute that into the equation:
f'(g(4)) = f'(-5)
We are given that f'(-5) = 7, so we can substitute that in:
F'(4) = 7 * 2
F'(4) = 14
Therefore, F'(4) = 14.
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Find the probability for the experiment of drawing a card at random from a standard deck of 52 playing cards. The card is a 7 or lower.
The probability of drawing a card at random from a standard deck of 52 playing cards that is a 7 or lower is 7/13.
What is the likelihood of drawing a card with a value of 7 or lower from a standard deck?When drawing a card at random from a standard deck of 52 playing cards, there are 13 cards with values ranging from Ace (1) to King (13) in each of the four suits (hearts, diamonds, clubs, and spades). Out of these 13 cards, there are seven cards with values 7 or lower: Ace, 2, 3, 4, 5, 6, and 7. Therefore, the favorable outcomes are 7, and the total number of possible outcomes is 13. Thus, the probability can be calculated by dividing the number of favorable outcomes (7) by the total number of possible outcomes (13), resulting in a probability of 7/13.
In probability theory, the probability of an event is determined by dividing the number of favorable outcomes by the total number of possible outcomes. This ratio provides a measure of how likely the event is to occur. In the case of drawing a card from a standard deck, understanding the number of cards that meet the specified criteria and the total number of cards in the deck allows us to calculate the probability accurately. It's important to note that the probability is always expressed as a fraction or a decimal between 0 and 1, where 0 represents impossibility and 1 represents certainty.
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If a quarterback takes a 13-yard loss
when he is sacked, what Integer
represents that loss?
Answer:
-13
Step-by-step explanation:
An integer is an whole number without decimals and fractions and can be negative, positive or 0.
In this scenario, the quarterback is losing 13 yards. The loss means that the 13 is negative, because positive would mean that he gains 13 yards. Therefore the loss is represented by the integer -13.
Hope this helped!
L)
express the given in terms os sin x or cos x
sin ( 4pi - x )
how
The value of sin(4π-x) is -sinx
What are trigonometric functions?The trigonometric functions are real functions which relate an angle of a right-angled triangle to ratios of two side lengths.
Given that, express the given in terms of sinx or cosx sin (4π-x)
sin(4π-x) = sin(2π+2π-x)
We know, that, sin(a+b) = sina·cosb+sinb·cosa
Here, a = 2π and b = 2π-x
Therefore,
sin(2π+2π-x) = sin2πcos(2π-x)+sin(2π-x)cos2π
Now, sin2π = 0 and cos(2π) = 1
Therefore,
sin2πcos(2π-x)+sin(2π-x)cos2π
= sin(2π-x)
As we know that, sin(2π-x) = -sinx
Hence, sin(4π-x) = -sinx
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there two pics so plz do not make me waste my points
Answer:
top right one
Step-by-step explanation:
Simplify the expression (x) (6 + x) – 2x. Write products as powers when possible.
Answer: x^2+4x
Step-by-step explanation:
I think
Find the cube roots of unity in standard form (a+bi). Use exact values.
Every non-zero complex number has three cube roots. In general, any non-integer exponent, like
1
3
here, gives rise to multiple values. The way we find them is by multiplying
z
by 1 before exponentiating. We write
1
using Euler's Identity to the
2
k
power for integer
k
. That's
What fraction is closest to 1 1/2
A. 1/2
B. 6/2
C. 4/2
D. 2/4
Answer: C. 4/2
Step-by-step explanation:
1 1/2 = 1.5
4/2
4 divided by 2 = 2
The answer is C. 4/2 = 2, this answer is closest to 1 1/2=1.5
Here are what the other possible answers could have been as either a whole number or a decimal...
A. 0.5
B. 3
D. 0.5
Please give brainliest!!
Can anyone help with this question geometry
Answer:
The answer would have to be shown in your working out, so look down below for an explanation.
Step-by-step explanation:
You would make each equation with the same letter equal to each other
5x- 10= 7x-20
3y= 5y-16
Then you would solve the equations
5x-10 = 7x-20
+20 +20
5x +10= 7x
-5x -5x
10= 2x
x= 5
-
3y = 5y-16
+16 +16
3y+16=5y
-3y -3y
16 = 2y
y = 8
And there's how you would prove that x=5 and y=8
15.6 ÷0.24 In long division form
the average diameter of ball bearings of a certain type is supposed to be 0.5 inch. what conclusion is appropriate when testing
When testing the ball bearings of a certain type, if the average diameter is found to be significantly different from 0.5 inch,
it would indicate that there may be issues with the manufacturing process or the quality of the materials used.
A lower average diameter may suggest that the bearings are being manufactured with insufficient materials or using inaccurate machinery, leading to inconsistencies in the size and shape of the bearings.
Conversely, a higher average diameter may suggest that the manufacturing process is producing bearings that are too large and may not fit properly in the intended machinery.
In either case, it would be important to investigate the cause of the discrepancy and take corrective measures to ensure that the bearings meet the required specifications.
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What is the slope of the line?
Write the slope as a fraction.
Answer: the slope is 1/4
Step-by-step explanation:
(2,0.5) (4,1)
Use the formula for finding the slope:
\(\boxed {The\ slope=\frac{y_2-y_1}{x_2-x_1} }\)
\(x_1=2\ \ \ \ x_2=4\ \ \ \ y_1=0.5\ \ \ \ y_2=1\\\)
Hence,
\(\displaystyle\\The\ slope=\frac{1-0.5}{4-2}\\\\The\ slope=\frac{0.5}{2}\\\\The\ slope=0.25\\\\The\ slope=\frac{1}{4}\)