What are the TERMS in the expression: 7x − 5y − x + 6
A: 7, 5 and 6
B: 7x, 5y, x, and 6
C: x, and y
Answer: B i think
Step-by-step explanation:
A term can be a number, a variable, product of two or more variables or product of a number and a variable. An algebraic expression is formed by a single term or by a group of terms.
Does anyone know how to do this? Please help!
Find the slope of the line through the points (1,−8) and (−9,−10).
You may have to simplify your answer to match one of the choices.
Here's the solution :
we know,
\( \boxed{slope = \frac{y_2 - y_1 }{x_2-x_1} }\)
where,
\( y_2 = -10 \)\( y_1 = -8 \)\( x_2 = -9 \)\( x_1 = 1 \)lets solve,
\( \hookrightarrow \dfrac{ - 10 - ( - 8)}{ - 9 - 1} \)\( \hookrightarrow \dfrac{ - 2}{ - 10} \)\( \hookrightarrow \dfrac{1}{5} \)A person places $48800 in an investment account earning an annual rate of 3.1%,
compounded continuously. Using the formula V = Pert, where Vis the value of the
account in t years, P is the principal initially invested, e is the base of a natural
logarithm, and r is the rate of interest, determine the amount of money, to the
nearest cent, in the account after 13 years.
When a person places $48,800 in an investment account at an annual rate of 3.1% compounded continuously, using the formula, V = \(Pe^rt\), the amount of money (future value) after 13 years is $73,019.78.
What is compounding?Compounding refers to the process or interest system that computes periodic or continuous interest on both the principal and accumulated interest.
We can solve for the future value of an investment under continuous compounding using an online finance calculator as follows:
Using the formula V = \(Pe^rt\)
Principal (P) = $48,800.00
Annual Rate (R) = 3.1%
Compound (n) = Compounding Continuously
Time (t in years) = 13 years
Result:
V = $73,019.78
V = P + I where
P (principal) = $48,800.00
I (interest) = $24,219.78
Calculation Steps:
First, convert R as a percent to r as a decimal
r = R/100
r = 3.1/100
r = 0.031 rate per year,
Solving the equation for V:
V = \(Pe^rt\)
V = \(48,800.00(2.71828)^(0.031)(13)\)
V = $73,019.78
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Just need to answer to this geometry question, Its a throw back for me.
As the triangles are similar to each other, using congruent theorem, we get the value of side JK = 63.8.
What are similar triangles?Comparable triangles are those that resemble one another but may not be precisely the same size. Comparable items are those that share the same shape but differ in size.
This shows that when shapes are amplified or demagnified, they superimpose one another. This feature of similar shapes is often known as "similarity".
As per the triangles,
Let JK be = x.
GF/GH = JI/JK
⇒ 11/18 = 36 /x
⇒ x = 36 × 18/11
⇒ x = 63.8.
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What is the product of 6 and one-half and 9 and one-fourth?
Answer:
60.125 or 60.13 when rounded to the nearest tenths.
Step-by-step explanation:
6 and one-half into a mixed number is 13/2
9 and one-forth into a mixed number is 37/4
13 x 37 = 481 divided by 8
2 4
When you divide 481 by 8 = 60.125 or 60.13 when rounded to the nearest tenths
I really hope this helps.
solve ABC given BC= 61cm, AB=57cm and B= 190 degree.
Answer:
Your question is missing some parts
and the degree seems off is it 90⁰
Please help me with this.
Here are the correct matches to the expressions to their solutions.
The GCF of 28 and 60 is 4.
(-3/8)+(-5/8) = -4/4 = -1.
-1/6 DIVIDED BY 1/2 = -1/6 X 2 = -1/3.
The solution of 0.5 x = -1 is x = -2.
The solution of 1/2 m = 0 is m = 0.
-4 + 5/3 = -11/3.
-2 1/3 - 4 2/3 = -10/3.
4 is not a solution of -4 < x.
1. The GCF of 28 and 60 is 4.
The greatest common factor (GCF) of two numbers is the largest number that is a factor of both numbers. To find the GCF of 28 and 60, we can factor each number completely:
28 = 2 x 2 x 7
60 = 2 x 2 x 3 x 5
The factors that are common to both numbers are 2 and 2. The GCF of 28 and 60 is 2 x 2 = 4.
2. (-3/8)+(-5/8) = -1.
To add two fractions, we need to have a common denominator. The common denominator of 8/8 and 5/8 is 8. So, (-3/8)+(-5/8) = (-3 + (-5))/8 = -8/8 = -1.
3. -1/6 DIVIDED BY 1/2 = -1/3.
To divide by a fraction, we can multiply by the reciprocal of the fraction. The reciprocal of 1/2 is 2/1. So, -1/6 DIVIDED BY 1/2 = -1/6 x 2/1 = -2/6 = -1/3.
4. The solution of 0.5 x = -1 is x = -2.
To solve an equation, we can isolate the variable on one side of the equation and then solve for the variable. In this case, we can isolate x by dividing both sides of the equation by 0.5. This gives us x = -1 / 0.5 = -2.
5. The solution of 1 m = 0 is m = 0.
To solve an equation, we can isolate the variable on one side of the equation and then solve for the variable. In this case, we can isolate m by dividing both sides of the equation by 1. This gives us m = 0 / 1 = 0.
6. -4 + 5/3 = -11/3.
To add a fraction and a whole number, we can convert the whole number to a fraction with the same denominator as the fraction. In this case, we can convert -4 to -4/3. So, -4 + 5/3 = -4/3 + 5/3 = -11/3.
7. -2 1/3 - 4 2/3 = -10/3.
To subtract two fractions, we need to have a common denominator. The common denominator of 1/3 and 2/3 is 3. So, -2 1/3 - 4 2/3 = (-2 + (-4))/3 = -6/3 = -10/3.
8. 4 is not a solution of -4 < x.
The inequality -4 < x means that x must be greater than -4. The number 4 is not greater than -4, so it is not a solution of the inequality.
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?????????????????????
I have no clue at all
Which set of transtormations results in two polygons that are similar but not congruent?
Maria Invests $600 in a bank account that earns simple interest. She earns $30 at the end of 12 months . Janae invest $350 at the same rate of interest for 12 months
Answer:
Interest = $1.75
Step-by-step explanation:
Maria invest $600, and receives interest of $30 per year
We know that PRT/100= INTEREST
R=( 100*INTEREST)/(PT)
R = (100*30)/(600*1)
R= 3000/600
R= 5%
Jane invest $350 at Sam rate with Maria , that is 5% , for a year, her interest
Interest= 350*5*1/100
Interest = $1.75
PLEASE HELP AND IF ITS WORNG I WILL BE UPSET BECAUSE THIS QUESTION IS ABOUT WILL I DIE OR LIVE
Answer:
B/2
Step-by-step explanation:
Jeez better not get this wrong... anyway, to start off the total is 19 books. Adding 5 then adding 3, She returned 8 books to the 19 she checked out. Uhhhh no clear answer.
NOT the first one cause 8 isn't the total. Don't think it would be the last one cause that's no fun. So it's either the second or the third one. The third one also makes no sense cause it only includes the returns from yesterday. I'm going with the second one
Answer:
D. none of theseStep-by-step explanation:
Proper equation would be:
1 - (5/19 + 3/19) = 11/19This doesn't match any answer options, so the correct option is the last one
Three-fourths of the yard is covered with grass and one-fourth is used as a garden. The sprinkler could only water 1/5 of the yard, so the rest died. Use the model to find out how much of the grass died.
3/5 or 60% of the grass died because the sprinkler could only water 1/5 of the yard.
Let's start by breaking down the information given:
- Three-fourths of the yard is covered with grass.
- One-fourth of the yard is used as a garden.
- The sprinkler could only water 1/5 of the yard.
To find out how much of the grass died, we need to determine the portion of the grass that was not watered by the sprinkler.
Let's assume the total area of the yard is represented by the value 1. Therefore, we can calculate the area of the grass as 3/4 of the total yard, which is (3/4) * 1 = 3/4.
The sprinkler can only water 1/5 of the yard, so the portion of the grass that was watered is (1/5) * (3/4) = 3/20.
To find the portion of the grass that died, we subtract the watered portion from the total grass area:
Portion of grass that died = (3/4) - (3/20) = 15/20 - 3/20 = 12/20.
Simplifying, we get:
Portion of grass that died = 3/5.
Therefore, 3/5 or 60% of the grass died because the sprinkler could only water 1/5 of the yard.
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Which is more, 6 liters or 6,001 milliliters?
Answer: 6,001 milliliters
Step-by-step explanation: 6 Liter translates to 6,000 milliliters, which is 1 less than 6,001 milliliters.
Answer:
I believe 6 liters is more.
Recall that a point on the unit circle represents (cos(θ, sin(θ)) for an angle in standard position. If θ = 60°, then for what other value of θ is cos(θ) = 12? Give the smallest positive angle measure. θ = ⇒ 300 degrees For angles between 0° and 60°, the cosine value is X less thanequal to✔ greater than ½.
Answer:
1. 300 degrees
2. greater than
Step-by-step explanation:
1) θ = 300°
2) For angles between 0° and 60°, the cosine value is greater than \(\frac{1}{2}\).
What is an angle in standard position?"The position of an angle with its vertex at the origin and its initial side coinciding with the positive x-axis."
For given question,
We have been given an angle θ = 60°
We need to find other value of θ is for which cos(θ) = \(\frac{1}{2}\)
We know that, cos(θ) is positive in the first and fourth quadrant.
Also, cos(2π - θ) = cos(θ)
So, cos(60) = cos(360 - 60)
= cos(300)
= \(\frac{1}{2}\)
This means, the other value of θ is for which cos(θ) = \(\frac{1}{2}\) is , θ = 300°
Also, we know that,
i) cos(0) = 1
ii) cos(30) = \(\frac{\sqrt{3} }{2}\)
= 0.866
iii) cos(45) = \(\frac{1}{\sqrt{2} }\)
= 0.7071
iv) cos(60) = \(\frac{1}{2}\)
= 0.5
This means, for angles between 0° and 60°, the cosine value is greater than \(\frac{1}{2}\).
Therefore, 1) θ = 300°
2) For angles between 0° and 60°, the cosine value is greater than \(\frac{1}{2}\).
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Select the number that round to 387.4 when rounded to the nearest tenth.
A. 387.461
B. 387.344
C. 387.309
D. 387.352
E. 387.779
Answer:
D
Step-by-step explanation:
When rounding, the number 5 is rounded up. So the number 387.352 will be rounded up 387.4. Other options are not suitable. Correct answer is "D"
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ead the situations below and determine which relationship is not functional.
Situation 1: a cell phone bill to the amount of minutes used
Situation 2: the perimeter of a square to the length of one of the sides of a square
Situation 3: the total amount of money charged monthly on credit cards to the number of credit cards owned
Situation
does not represent a function.
This is because
.
There can be multiple outputs (monthly charges) for a given input (number of credit cards), violating the definition of a function. hence, Situation 3 does not represent a function.
Situation 3: the total amount of money charged monthly on credit cards to the number of credit cards owned does not represent a function.
In a function, each input (or x-value) should have a unique output (or y-value). However, in this situation, the total amount of money charged monthly on credit cards depends on the number of credit cards owned. It is possible to have different credit card numbers but still have the same total amount of money charged monthly.
For example, two people could own different numbers of credit cards but have the same monthly charges.
As a result, the definition of a function can be violated by having many outputs (monthly charges) for a single input (number of credit cards).
Because of this, case 3 does not represent a function.
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Find the better buy:14 oz of doritos for $2.50 or 22 oz of doritos for $3.99.Make sure you round everything up to the nearest cent
Answer:
Both
Explanation:
To determine the better buy, find the unit price for each of the purchase:
\(\begin{gathered} \text{14 oz of doritos }\cos ts\text{ \$}2.5 \\ \text{Unit Price=}\frac{\text{2.5}}{14} \\ =\$0.179\text{ per oz} \\ \approx\$0.18\text{ per oz} \end{gathered}\)Similarly:
\(\begin{gathered} \text{22 oz of doritos }\cos ts\text{ \$}3.99 \\ \text{Unit Price=}\frac{\text{3}.99}{22} \\ =\$0.181\text{ per oz} \\ \approx\$0.18\text{ per oz} \end{gathered}\)Therefore, to the nearest cent, both are equal buys since they have the same value.
If an absolute value expression is greater than a negative number, there is no solution. O True O False
Absolute value inequalities are defined by the following properties:
\(\begin{gathered} |x|a\rightarrow x<-b,or,x>b \end{gathered}\)Notice that when the absolute value expression is greater than real numbers, the solution is defined.
Therefore, the given statement is false because there's a solution in such a case.Front Elementary School is putting in a new merry-go-round with a diameter of 10.4
10
.
4
feet on the playground. Before the piece can be installed, a solid circular pad of mulch must be put down which extends 3
3
feet beyond the edge of the merry-go-round.
image
What is the approximate area of the mulch around the merry-go-round? Use 3.14
3.14
for π
π
, if required.
The approximate area of the mulch around the merry-go-round is 126.228 feet².
Diameter of the merry go round = 10.4 feet
Radius is half of the diameter.
Radius of the merry go round = 10.4/2 = 5.2 feet
Before the piece can be installed, a solid circular pad of mulch must be put down which extends 3 feet beyond the edge of the merry-go-round.
Radius of the merry go round with mulch = 5.2 + 3 = 8.2 feet
Total area of the merry go round with the mulch is,
Area = π (8.2)² = 67.24π feet²
Area of the merry go round = π (5.2)² = 27.04π feet²
Area of the mulch = 67.24π feet² - 27.04π feet² = 40.2π = 126.228 feet²
Hence the required area is 126.228 feet².
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According to Okun's law, if the unemployment rate goes from 5% to 3%, what will be the effect on the GDP?
A. It will increase by 7%.
B. It will decrease by 7%.
C. It will decrease by 1%.
D. It will increase by 1%.
Answer:
D. It will increase by 1%.
Step-by-step explanation:
Given
\(u_1 = 5\%\) --- initial rate
\(u_2 = 3\%\) --- final rate
Required
The effect on the GDP
To calculate this, we make use of:
\(\frac{\triangle Y}{Y} = u_1 - 2\triangle u\)
This gives:
\(\frac{\triangle Y}{Y} = 5\% - 2(5\% - 3\%)\)
\(\frac{\triangle Y}{Y} = 5\% - 2(2\%)\)
\(\frac{\triangle Y}{Y} = 5\% - 4\%\)
\(\frac{\triangle Y}{Y} = 1\%\)
This implies that the GDP will increase by 1%
Answer: A. It will increase by 7%.
Step-by-step explanation: I took this course!
If you flip two coins 68 times, what is the best prediction possible for the number of times both coins will land on heads?the number of times it will land on tails?
If you flip two coins 68 times, the best prediction for the number of times both coins will land on heads is 17.
If you flip two coins 68 times, the best prediction for the number of times both coins will land on tails is 17.
What is the probability of getting two heads?The possible outcomes when two coins are flipped are;
head - head = HH
tail - tail = TT
Head and tail = HT
Tail and head = TH
The probability of getting two heads = 1/4
If you flip two coins 68 times, the best prediction for the number of times both coins will land on heads is calculated as;
Expected value = (68 flips) x (1/4 probability of getting HH) = 17
The probability of getting two tails = 1/4
Expected value = 68 x 1/4 = 17
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The difference between a number x and 10 is 18
A single endogenous explanatory variable Consider the following structural model: y1 = Bo + B1y2 + B2z1+ u1 Suppose now that there are two exogenous variables excluded from the model: z2 and z3. The assumptions that z2 and z3 do not appear in the model and are uncorrelated with the error uj are known as rank conditions The linear combination that is most highly correlated with y2 is given by the reduced form equation for y2: 2SLS overidentifying restrictions y2 = TO + TI21+ 7222+ T323 + v2 exclusion restrictions E(v2) = 0, Cov(21, v2) = 0, Cov(2, v2) = 0, and Cov(z3, v2) = 0. Which of the following is the best IV for y2? O y2 = TO +1z1+T2z2 + T323 + V2 y2 = T0 + T121+72z2 O v5 = To + T121 + T222 + v2 Y2 = T0 + TĮ21+T2z2 + T323 What is the least restrictive assumption we need to impose on the T parameters in order for the instrument y5 to not be perfectly correlated with z1? O T2 +0 or n3 +0 O T1 70 or T2 #0 and 73 +0 T1 0 and T2 + 0 and 73 + 0 O T2 +0 and T3#0
The least restrictive assumption T2 + 0 and T3 # 0
What is structural model?
The items in the system and the static relationships that connect them make up the structural model. Packages or subsystems can be used to divide up groups of items. The structural model is described in object model diagrams. The code that is produced from object model diagrams is described in this section.
It looks like the question you provided contains multiple parts and is discussing the use of instrumental variables (IVs) in regression analysis.
An instrumental variable (IV) is a variable that is correlated with the independent variable in a regression model, but is not correlated with the error term. It is used to estimate the effect of the independent variable on the dependent variable, while controlling for omitted variables that may be correlated with both the independent and dependent variables.
In the question, y2 is the dependent variable, z1 is the endogenous explanatory variable (i.e., the independent variable that is correlated with the error term), and z2 and z3 are the exogenous explanatory variables that are excluded from the model. The reduced form equation for y2 is an equation that expresses y2 as a function of the exogenous explanatory variables and the error term.
The least restrictive assumption we need to impose on the T parameters in order for the instrument y5 to not be perfectly correlated with z1 is T2 + 0 and T3 # 0. This means that the effect of y5 on y2 must not be perfectly correlated with the effect of z1 on y2.
The least restrictive assumption T2 + 0 and T3 # 0
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Given the following situation:
A cell phone company offers a data package by charging $20 a month plus $12 per gigabyte of data used. Write a linear equation
that relates the cost C, in dollars, to the amount of data used. Use it to determine the amount of data used if they charge you
$116.
9514 1404 393
Answer:
C = 20 +12g8 gigabytesStep-by-step explanation:
At $12 per gigabyte, the data charge will be 12g where g is the number of gigabytes. Then the total charge is ...
C = 12g +20
__
If C = 116, the value of g is found from ...
116 = 12g +20
96 = 12g . . . . . . . subtract 20
8 = g . . . . . . . . . . divide by 12
The amount of data used is 8 gigabytes if the charge is $116.
What is the circumference of the outer edge of the path around the pool?
Please help me!!
20points!!
9514 1404 393
Answer:
A) 1
Step-by-step explanation:
Let the distance from A to BC be represented by y, and the distance DE be represented by x. We can write some relations using the definition of the tangent of an angle, and the double-angle formula for tangent. The double-angles are complementary
Left angles
Call the smaller angle α. Then the larger angle is 2α.
tan(α) = x/2
tan(2α) = 2tan(α)/(1 -tan(α)²) = 2(x/2)/(1 -(x/2)²) = 4x/(4 -x²)
Right angles
tan(β) = x/3
tan(2β) = 2tan(β)/(1 -tan(β)²) = 2(x/3)/(1 -(x/3)²) = 6x/(9 -x²)
__
Angles 2α and 2β are complementary, so the product of their tangents is 1.
(4x/(4 -x²))(6x/(9 -x²)) = 1
24x² = (4 -x²)(9 -x²) . . . . multiply by the product of denominators
x⁴ -37x² +36 = 0 . . . . . put in standard form
(x² -36)(x² -1) = 0 . . . . . factor
Solutions to this equation are x = ±1 and x = ±6. Only positive values less than 1.25 can possibly satisfy the geometry. Hence x = DE = 1.
The length of DE is 1.
Which equation would we use to figure out this problem? Rachael
started off with $400 in her savings account in 2005. It earns 3% interest
each year. She wants to know how much money she'll have in the account
in 2022.
Answer:
She'll have $661 in the account in 2022.
Step-by-step explanation:
Compound interest:
The amount of money earned in compound interest after t years is given by the following equation:
\(A(t) = A(0)(1+r)^t\)
In which A(0) is the initial amount and r is the interest rate, as a decimal.
Rachael started off with $400. It earns 3% interest each year.
This means that \(A(0) = 400, r = 0.03\)
So
\(A(t) = A(0)(1+r)^t\)
\(A(t) = 400(1+0.03)^t\)
\(A(t) = 400(1.03)^t\)
She wants to know how much money she'll have in the account in 2022.
17 years after 2005, which means that this is A(17). So
\(A(17) = 400(1.03)^{17} = 661\)
She'll have $661 in the account in 2022.
Kendrick’s bill for lunch was $24.50. He left the server an 18% tip. What is the total amount that Kendrick paid for lunch including the tip?
Answer:
$28.91
Step-by-step explanation:
The first step is to calculate the amount of the tip. You multiply the price (24.50) by the tip amount (18% or 0.18). The product is 4.41. Then, you add the tip to the bill. 24.50+4.41=28.91.
Answer:
$28.91
Step-by-step explanation:
please help
please hurry