Answer:
20
Step-by-step explanation:
4 + \((m-n)^{4}\) ← substitute m = 7 and n = 5 into the expression
= 4 + \(7-5)^{4}\)
= 4 + \(2^{4}\)
= 4 + 16
= 20
Karen is planning to drive 3104 miles on a road trip. If she drives 388 miles a day, how many days will it take to complete the trip?
Answer:
It will take 8 days to complete the trip.
Step-by-step explanation:
3104 miles total
388 miles a day
3104/388 = 8
2 pounds 6 ounces = ounces
2 pounds 6 ounces in ounces is equivalent to 38 ounces.
The given measurement is -
2 pounds 6 ounces
In 1 pound, there are 16 ounces.
So, we can write that -
2 pounds 6 ounces = 2 x 16 + 6
2 pounds 6 ounces = 38 ounces
So, 2 pounds 6 ounces in ounces is equivalent to 38 ounces.
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On her way to visit her family for the holidays, Jessica drives 360 miles in 6 hours. What is her average rate of speed in miles per hour?
Answer:
60 miles per hour
Step-by-step explanation:
speed = distance / time
360/6= 60 miles per hour
19.
Your gross income is $4,520.00/month. Your deductions are FICA (7.65%), federal tax withholding (11.75%), and state tax withholding (8.5%). Your fixed expenses are 30% of your realized income. You saved 5 months' worth in an emergency fund, placing 75% in a 60-day CD at a 5.25% APR and the rest in a regular savings account at a 3.8% APR. How much is in the savings account?
$1,969.55
$1,222.10
$1,777.10
$1,315.07
The correct answer is C. $ 3,666.30 is in the savings account.
What is percentage?A percentage is a number or ratio that can be expressed as a fraction of 100. A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, "%", although the abbreviations "pct.", "pct" and sometimes "pc" are also used. A percentage is a dimensionless number; it has no unit of measurement.
here, we have,
Let's calculate how much money you have in the CD after 5 months, this way:
Gross Income = $ 4,520
Total deductions on taxes = 27.9% (11.75 + 7.65 + 8.50) * 4,520 = $ 1,261.08
Realized income = Gross income - Total deductions on taxes
Realized income = 4,520 - 1,261.08
Realized income = $ 3,258.92
Fixed expenses = 3,258.92 * 0.3 = $ 977.68
Emergency fund = 977.68 * 5 = $ 4,888.40
Certificate of Deposit = 4,888.40 * 0.75 = $ 3,666.30
The correct answer is C. $ 3,666.30
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Help me I don’t understand
Answer: C, 125
Step-by-step explanation: That is the slope of the line, which remains constant. The slope represents the distance over the time, and distance divided by time equals the speed. This means that the speed remains constant throughout.
HELP PLSSS
SHOW WORK
Use the information shown on the auger shell. What is the value of x?
no lol ;0 you should ask your teacher for help ;(
There are 54 girls on the playground. There are 25 fewer boys than girls on the playground. How many kids are on the playground?
Answer:
83 kids total
Step-by-step explanation:
There are 54 girls on the playground. There are 25 fewer boys than girls on the playground. How many kids are on the playground?
girls = 54
boys = 54 - 25 = 29
54 + 29 = 83 kids total
kids that are on the playground are 83.
What is the sum?Merging objects and identifying them since one big bunch is done through addition. In arithmetic, addition is the technique of adding two or more integers together. The product can meet are the quantities that are included, and the outcome of the operation, or the final response, is referred to as the sum.
The total number of girls that are present is 54
The data given is that there are
25 fewer boys taht are4 present
The total number of boys will be
boys = 54 - 25 = 29
The number of kids that are present will be the total of boys and girls that are present.
Kids = boys + girls
54 + 29 = 83 kids total
The quantity of kids that are present in the playground is 83.
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1. If a car must have at least 2 passengers in order to be in the carpool lane on this highway, what is the probability that a randomly selected car is allowed to be in the carpool lane?
P(x>2) .15+.10+ .3+ .2= .30
2. Find the probability that a randomly selected car on this highway has fewer than 4 occupants.
P(x<4)= p(x<3)=
.70+ .15+ .10= .95
3. Calculate the mean of this probability distribution. Click on the tool "Insert Math Equation" in the toolbar above to write your answers using correct notation and round it to one more decimal than is contained in the data (type out your calculations).
E(x) is
1(x) p(1) + 2p(2) + 3p(3)+ 4p(4)+ 5p(5)
.70+.30+.30+.12+.10
=1-52
4. Explain what your answer to #3 means in the context of this problem.
Mean is the expected value and measure of tendency following is the probability of distribution
5. What shape would the probability histogram of this probability distribution have (you do not have to actually create or embed the histogram)? Explain the meaning of this in context. In other words, what does this tell you about the driving habits of most drivers on this highway?
Most drivers have more than 2 passengers while driving in the carpool lane on the freeway
Answer:
4
Step-by-step explanation:
wHAT IS THE REFERENCE ANGLE -935°
AUTUMN ALSO SAVED $500 THAT SHE KEEPS AT HOME DOES NOT ADD TO IT WRITE A FUNCTION G(X) TO MODEL THIS SITUATION
The mathematical function that models Autumn's situation of saving $500 that she keeps at home and does not add to the savings is G(x) = 500 + 0x.
What is a mathematical function?A mathematical function is an equation, expression, rule, or law defining the relationship between the independent variable and the dependent variable.
There are many types of mathematical function, including:
Cubic functionLinear functionQuadratic functionPolynomial function.The amount that Autumn saved = $500
The amount that Autumn adds to the savings = $0
Let the number of periods that Autumn saves the above amount = x
Function:G(x) = 500 + 0x
Thus, based on the linear function above, the amount that Autumn saved would remain $500 after many periods.
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Find the value of n(A ∪ B) if n(A)=5, n(B)=7 and n(A ∩ B)=2.
Answer:
I HOPE IT WILL HELP YOU.
Thanks.
^-^
Ana works 25 hours a week at the library. If she is paid $10 an hour, and her net salary each week is $212.50, what percent of her salary is withheld for taxes?
Approximately 17.65% of Ana's salary is withheld for taxes.
To calculate the percentage of Ana's salary that is withheld for taxes, we need to determine the amount of tax withheld and then express it as a percentage of her net salary.
Number of hours worked per week (H) = 25 hours
Hourly wage (W) = $10
Net salary (S) = $212.50
Calculate the total earnings before taxes:
Total earnings = Hours worked * Hourly wage
Total earnings = 25 hours * $10/hour
Total earnings = $250
Determine the amount of tax withheld:
Tax withheld = Total earnings - Net salary
Tax withheld = $250 - $212.50
Tax withheld = $37.50
Calculate the percentage of salary withheld for taxes:
Percentage withheld = (Tax withheld / Net salary) * 100
Percentage withheld = ($37.50 / $212.50) * 100
Percentage withheld ≈ 17.65%
Therefore, approximately 17.65% of Ana's salary is withheld for taxes.
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Let f(x) = x^4-3x^2 + 2 and g(x) = 2x^4 - 6x^2 + 2x -1. Let a be a constant. What is the largest smallest degree of f(x) + a * g(x)
The largest and smallest degree of f(x) + a * g(x) if a be a constant is 4 and 1 respectively.
According to the question f(x) = x^4-3x^2 + 2 and g(x) = 2x^4 - 6x^2 + 2x -1
f(x) + a * g(x) = x^4-3x^2 + 2 + a( 2x^4 - 6x^2 + 2x -1)
= x^4(1 + 2a)x^4 +(-3-6a)x^2 +2 + 2ax -a
The term with the largest exponent is (1 +2a)x^4, which has degree 4. This term will be non-zero for a ≠ -1/2.
The largest possible degree of f + ag is 4
When a = -1/2, the first two terms disappear and the sum becomes
f + ag = -x +1/2
The smallest possible degree of f + ag is 1.
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Which problem solving strategy would be best to solve this problem?
Brandon went to the store and spent $2.50 on pencils. He spent half of what he had left on a notebook and paper. When he got home he had $5.00 left. How much money did Brandon have before going to the store?
Answer: The best problem solving strategy to solve this problem with is a formula. Additionally Brandon had $12.50 before going to the store.
Step-by-step explanation: Formula and Solving it
He Spent $2.50 on pencils.
Amount left after buying a pencil = x - 2.50
Next, he spent half of the amount left in his pocket.
He spent (x - 2.50)/2 on notebook and paper.
So the total amount he spent = 2.50 + (x -2.50)/2
Amount left when he got home =$ 5.00
That means, x - Total amount spent = 5
=> x - (2.50 + (x -2.50)/2 ) = 5
=> x - 2.50 -x/2 + 2.50/2 = 5
=> x/2 - 2.50/2 = 5
=> x/2 = 5 + 2.50/2
=> x/2 = 6.25
=>x = $12.5
the accompanying data set contains two variables, x1 and x2. pictureclick here for the excel data file a. how many observations have x2 values equal to 2?
The variables 8 observations have x2 values of 2 or greater.
Two variables, x1 and x2, are present in the supplementary data set. There are a total of 20 observations in this data set. The x2 values for 8 of these 20 observations are equal to 2. Thus, x2 values of two were present in eight out of twenty observations, or 40%. The following 12 observations' x2 values do not add up to 2. Thus, 8 of the 20 observations in the data set have x2 values of 2 or higher.8 of these 20 observations have x2 values that are equal to 2. Thus, eight out of twenty observations, or 40 percent, had x2 values equal to two. The x2 values for the next 12 observations are not equal to 2. Consequently, 8 of the data set's 20 observations have x2 values of 2 or above.
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Jane loves animals. She has an equal number of beetles, birds and spiders as pets. Apart from human legs, there is a total of 270 legs in the house. How many spiders dies jane have if a spiders has 8 legs and a beetle has 6 legs?
b = number of beetles
r = number of birds
s = number of spiders
"She has an equal number of beetles, birds and spiders". That means b = r = s. They all stand in for the same number, and that number being some positive whole number.
One spider has 8 legs, so s of them have 8s legs. One beetle has 6 legs, so b of them have 6b legs. One bird has 2 legs, so r birds have 2r legs.
In total, all of the animals have 6b+2r+8s legs. We'll replace r and s with b, since earlier we were given that b = r = s.
So we end up with:
6b+2r+8s
6b+2b+8b
(6+2+8)b
16b
The number of legs of all the animals is equal to 16 times the number of beetles. Set this equal to 270 and isolate b
16b = 270
b = 270/16
b = 16.875
We run into a problem. It's not possible to have the variable b equal to a non-whole decimal number like this. It's possible your teacher made a typo somewhere. I would ask them for clarification.
Your car can drive 320 miles on a tank of 31 gallons. How many gallons are needed to drive 1,070 miles?
Answer:
104 gallons
Step-by-step explanation:
320/31=10.323 miles per gallon
1070/10.323=103.66 <---round to whole number
104 gallons needed
You move up 2 units. You end at (3, 10). Where did you start?
Answer:
no entiendo
Step-by-step explanation:
Answer:
(3,8)
Step-by-step explanation:
-2 + x < 5
What is the answer to this
Answer:
anything lower than 6
explanation:
so that 5 will stay bigger
Answer:
x < 7
Step-by-step explanation:
-2 + x < 5
+2 x < 5+2
x<7
una pelota es lanzada horizontalmente desde la altura y llega al suelo a 45 m de la base del edificio ¿cuál fue la rapidez inicial de la pelota?
Answer:
9,5 ms porque es la distancia inicial de la caída de los objetos en la tierra
9. x²+x-1=0
=> 1-x/2x²+x²/2x-2=?
A) -2
B) -1
C) 0
D) 1
E) 2
The value of the equation (1 - x)/2x² + x²/(2x - 2) is 0 if x² + x - 1 = 0
How to determine the solution to the equation?From the question, the equation is given as
x² + x - 1 = 0
Make x² the subject of the above equation
So, we have the following equation
x² = 1 - x
The equation to calculate is given as
(1 - x)/2x² + x²/(2x - 2) = ?
Substitute x² = 1 - x
(1 - x)/2x² + x²/(2x - 2) = x²/2x² + x²/(2x - 2)
Evaluate the quotient
So, we have the following equation
(1 - x)/2x² + x²/(2x - 2) = 1/2 + x²/(2x - 2)
Factor out -2
(1 - x)/2x² + x²/(2x - 2) = 1/2 - x²/2(1 - x)
Substitute x² = 1 - x
Factor out -2
(1 - x)/2x² + x²/(2x - 2) = 1/2 - x²/2x²
Evaluate the quotient
(1 - x)/2x² + x²/(2x - 2) = 1/2 - 1/2
Evaluate the difference
(1 - x)/2x² + x²/(2x - 2) = 0
Hence, the solution to the equation is 0
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which of the following pairs of variables is likely to have a negative correlation? check all that apply.
The two variables to have a negative correlation are x and y.
Negative correlation is the relationship where x grows as y decreases.
Given,
Here, negative correlation is used to describe the relationship between two variables that results in independent variables moving in one direction while dependent variables move in another.
Positive correlation
Positive correlation is when the value of the variable x rises as the value of the variable y rises.
Negative Correlation
Negative correlation is the relationship where x grows as y decreases.
No correlation
No correlation exists between the two variables.
That example, the term "no-correlation" refers to the absence of a connection between two variables.
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The question is improper. Proper question is given below;
What two variables are likely to have a negative correlation
Y=x^2+12x+35 into the form y=(x-h)^2+k
Answer:
y = (x + 6)² - 1
Step-by-step explanation:
So there are two ways of doing it, completing the square or partial factoring (which is what i prefer and will show)
so we will get x first:
x^2+12x
We are factoring x
x(x+12)
Now you do x=-12/2
x=-6
Now that you have x, you plg that back into the equation to get y
y= -6^2 +12(-6) +35
= 36-36+35
=-1
Put into vertex form
y = (x + 6)² - 1
Brainliest if correct
Answer:
1. (-4)^2 = 16
2. (-3)^3 = -27
Step-by-step explanation:
Point R is at (2, 1.2) and Point T is at (2, 2.5) on a coordinate grid. The distance between the two points is
. (Input numbers and decimal point only, such as 8.2.) (3 points)
========================================
Work Shown:
The two points we have are \((x_1,y_1) = (2,1.2)\) and \((x_2,y_2) = (2,2.5)\)
Apply the distance formula
\(d = \sqrt{(x_1-x_2)^2+(y_1-y_2)^2}\\\\d = \sqrt{(2-2)^2+(1.2-2.5)^2}\\\\d = \sqrt{(0)^2+(-1.3)^2}\\\\d = \sqrt{0+1.69}\\\\d = \sqrt{1.69}\\\\d = 1.3\\\\\)
-------------------------
A shortcut is possible by subtracting the y coordinates of the two points, and making the result positive through the use of absolute value.
So we either say
|y1-y2| = |1.2-2.5| = |-1.3| = 1.3
or,
|y2 - y1| = |2.5 - 1.2| = |1.3| = 1.3
We get the same result. This shortcut is valid because the x coordinates of both points are the same.
As a promotional feature, a store conducts a weekly raffle. During any week, 40% of the customers who turn in one or more tickets do not bother to turn in tickets the following week. On the other hand, 30% of the customers who do not turn in tickets will turn in one or more tickets the following week. Find and interpret the steady matrix for this situation.
Given statement solution is :- Interpreting the steady matrix:
The value 0.6 in the top left cell represents the proportion of customers who turn in tickets this week and will turn in tickets again next week.
The value 0.3 in the top right cell represents the proportion of customers who turn in tickets this week but will not turn in tickets next week.
The steady matrix provides a snapshot of the probabilities of transitioning between the two states (turning in tickets or not turning in tickets) in the long run, assuming these probabilities remain constant over time.
To analyze the steady matrix for this situation, let's consider the two groups of customers: those who turn in tickets and those who do not turn in tickets.
Let's denote the proportion of customers who turn in tickets as X and the proportion of customers who do not turn in tickets as Y.
According to the given information:
40% of the customers who turn in tickets do not turn in tickets the following week. This means that 60% of the customers who turn in tickets will turn in tickets again the following week.
30% of the customers who do not turn in tickets will turn in tickets the following week. This means that 70% of the customers who do not turn in tickets will continue not turning in tickets the following week.
Based on these percentages, we can construct the steady matrix:
java
Copy code
| Customers turning in tickets (X) | Customers not turning in tickets (Y) |
----------|----------------------------------|--------------------------------------|
Next week 0.6 0.3
This week 0.4 0.7
Interpreting the steady matrix:
The value 0.6 in the top left cell represents the proportion of customers who turn in tickets this week and will turn in tickets again next week.
The value 0.3 in the top right cell represents the proportion of customers who turn in tickets this week but will not turn in tickets next week.
The value 0.4 in the bottom left cell represents the proportion of customers who do not turn in tickets this week but will turn in tickets next week.
The value 0.7 in the bottom right cell represents the proportion of customers who do not turn in tickets this week and will continue not turning in tickets next week.
These values describe the transition probabilities between the two customer groups. For example, if there are 100 customers in total, 60 of them will turn in tickets next week, and 40 of them will not. Similarly, 30 customers who turn in tickets this week will not do so next week, while 70 customers who do not turn in tickets this week will continue to not turn them in next week.
The steady matrix provides a snapshot of the probabilities of transitioning between the two states (turning in tickets or not turning in tickets) in the long run, assuming these probabilities remain constant over time.
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Kate read 3 1/2 pages in 1/6 of an hour. At this rate, how many pages will she read in an hour?
\( \huge \sf { \star{ \green{ \underbrace{\overbrace{\blue{Answer}}}}}}{\star} \\ \\ \: \: \sf \rightarrow{\fbox{21 \: \: Pages}}\)
Step-by-step explanation:
\(\texttt{Kate reads} \\ \: \rightarrow \: \tt \: 3 \frac{1}{2} in \: \frac{1}{6} \texttt{ of an hour} \\ \\ \rightarrow 3 \: \frac{1}{2} or \frac{7}{2} \\ \\ \tt = 3.5 \: \texttt{pages in } \frac{1}{6} \texttt{of an hour} \\ \\ \frac{1}{6} = \frac{10 \: min}{60 \: min} \\ \\ \therefore \: 3.5 \: pages \: in \: 10 \: min \: \\ \\ \: \: multiply \: \: 3.5 \: \: by \: \: 6 \: times \: \: \\ \: \: \\ \\ = > 3.5 \times 6 \\ \\ \ = > \blue{\fbox{\pink {21 \tt pages}}}\)
Kate will read 21 pages at the same ratio as much as in 3 1/2 pages in 1/6 of an hour.
What are the ratio and proportion?The ratio is the division of the two numbers.
For example, a/b, where a will be the numerator and b will be the denominator.
Given that,
Kate read 3 1/2 pages in 1/6 of an hour.
1/6 hour → 3 1/2 pages
→ 3 + 1/2 pages
→ 7/2 pages
Multiply by 6 on both sides,
1 hour → (7/2) × 6 = 21 pages
Hence "Kate will read 21 pages at the same ratio as much as in 3 1/2 pages in 1/6 of an hour".
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i need help pleaseeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee
Answer:
360cm squared
Step-by-step explanation:
Surface area is where you add all the sides area together.
10 multiplied by 13 is 130
10 multiplied by 12 is 120
12 multiplied by 5 is 60
60 divided by 2 is 30
2 lots of 30 is 60
5 multiplied by 10 is 50
130 add 120 add 60 add 50 is 360cm squared
The surface area of the given triangular prism.
Solution:\(sa = bh + ( b_{1} + b_{2} + b_{3})l\)
\(sa = 12(5) + (5 + 12 + 13) \times 10\)
\(sa = 60 + (30)(10)\)
\(sa = 60 + 300\)
\(sa = 360 \: {m}^{2} \)
Hence, the surface area of the given triangular prism is 360 square meters.
The midpoint of \overline{\text{AB}}
AB
is M(3, -2)M(3,−2). If the coordinates of AA are (8, 4)(8,4), what are the coordinates of BB?
Answer:
Step-by-step explanation: I am trying to interpret the question: I'll assume:
Line AB has a midpoint, M.
A is (8,4)
B is unknown, but desired
M is (3,-2)
We'll assume a straight line of the form y=mx+b, where m is the slope. m can be calculated by the "Rise" over the "Run" between the points A and M:
Rise = (4-(-2))=6
Run = (8-3)=5
Slope = (Rise/Run) = (6/5)
The line becomes y=(6/5)x+b
Calculate b, the y-intercept (the value of y when x is 0), by entering one of the two known points. I'll choose (8,4).
y=(6/5)x+b
4 = (6/5)(8)+b
b = 4 - (6/5)(8)
b = 4 - (48/5)
b = 4 - (9 3/5) or -5 3/5
The equation becomes:
y=(6/5)x - 5 3/5
Point B will have an x value of -2 [The change in x from A to M was (3-8) = -5. From M to 5 would be another -5 increment, so x goes from 3 to (3-5) or -2.
Find the value of y for x=-2:
y=(6/5)x - 5 3/5
y=(6/5)*(-2) - 5 3/5
y=(-12/5) - (28/5)
y = -(40/5) or - 8
B has coordinates of (-2, -8)
If coordinates of point A is (8, 4), then the coordinate of point B will be (-2, -8).
The "Midpoint-Formula" is used to find the coordinates of a point that lies exactly halfway between two given points. It's given as :Midpoint (M) = ((x₁ + x₂)/2, (y₁ + y₂)/2),
In this case, we have the midpoint as M(3, -2) and one of the endpoints as A(8, 4). We need to find coordinates of other endpoint which is B,
Using the midpoint formula, we rearrange it to solve for the missing coordinates (x₂, y₂),
x₂ = 2 × Mₓ - x₁,
y₂ = 2 × \(M_{y}\) - y₁,
Substitute the given values:
We have : Mₓ = 3; \(M_{y}\) = -2,
x₁ = 8; y₁ = 4
x₂ = 2 × 3 - 8 = -2; y₂ = 2 × -2 - 4 = -8,
Therefore, the coordinates of point-B is(-2, -8).
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The given question is incomplete, the complete question is
The midpoint line AB is M(3, -2). If the coordinates of A is (8,4), What are the coordinates of B?
True OR False a graph must be a straight line and go through the point (0, 0) in order to represent a proportional relationship
Answer:
TRUE graph must be a straight line and go through the point (0,0)
Step-by-step explanation:
Have a good day :)