Answer:
The answer is 3,874 ÷ 4 = 968.5
Find the inverse of function f. F(c) = 9x + 7
Answer:
(x-7)/9
Step-by-step explanation:
F(c) = 9x + 7
y = 9x + 7 Now switch the y and the x and solve for y
x = 9y + 7 Subtract 7 from both sides
x - 7 = 9y Divide both sides by 9
(x-7)/9
A) She walks slowly, walks quickly then stops.
B) She walks quickly, walks slowly then stops.
C) She walks slowly, stops then walks quickly.
D) She walks quickly, stops then walks slowly.
which is correct? help me please
ake is making pancakes for his family. The recipe for 50 pancakes is below.
8 cups of flour
3 cups of sugar
6 cups of milk
4 eggs
Jake only wants to make 1/4 batch of pancakes. How many cups of flour will he need?
Answer:
He will need 96 cups of flour, 36 cups of sugar, 72 cups of milk, and 48 cups of eggs.
Step-by-step explanation:
He wants to make 1/4 of the 50 pancakes stated above. So if you divide 50 by 4 you get 12.5 and when you multiple 12.5 by 8 you get 96 cups.
Answer:
He needs 2 cups of flour.
Step-by-step explanation:
8 cups is needed for 50 pancakes. And he wants to make a fourth of that. One fourth is 25% and so he will need to take away the remainder, which is 3/4 (75%). So, what is 25% of 8? The answer is 2.
Which pair of complex factors results in a real-number product? 15(–15i) 3i(1-3i) (8 + 20i)(–8 – 20i) (4+7i)(4-7i)
Answer:
(4 + 7i)(4 - 7i)
Step-by-step explanation:
Factors of the form of a conjugate pair always produce a real number
(a + bi)(a - bi) ← produce a real number product ( a and b are real ), that is
(a + bi)(a - bi) ← expand using FOIL
= a² - bi² ( i² = - 1)
= a² + b² ← a real number
Thus
(4 + 7i)(4 - 7i)
= 16 - 49i²
= 16 + 49 = 65
Answer:
the correct answer is the last one, (4+7i)(4-7i)
Step-by-step explanation:
what is the exact measure of central angle in radians?
The measure of the central angle is 2.5 rad
Explanation:Central angle is:
\(\frac{\text{Arc length}}{radius}\)which is
\(\frac{5}{2}^{}\)OR
2.5 rad
Sorry about the picture quality on this app for pics just isn’t it for me lol
(NO LINKS)
Answer:
negative association
Step-by-step explanation:
1. Andre earns $4000 a month at his new job. In order to track his spending and saving, he created a monthly
budget. Andre divided his income into five categories and created the following circle graph to represent the
budget he created for himself. Use this circle graph to answer the following questions.
Monthly Budget
Other, 22%
Rent
33%
Savings
25%
Groceries,
12%
Utilitites
8%
(a) Andre is planning on renting a new apartment, but he wants to stay within his budget on and
utilities. Andre is looking at two apartments: Apartment 1 and Apartment 2. Apartment 1 costs $1100
per month, plus $250 for utilities. Apartment 2 costs $1350 per month, plus $100 for utilities. Which
apartment should Andre choose?
(b) Explain your reasoning in a minimum of 3 sentences or more.
Answer:
Answer:
If Andre plans on staying within his budget, he should choose Apartment 1.
Step-by-step explanation:
Apartment 1: $1100 rent + $250 utilities = $1350 Total Monthly
Apartment 2: $1350 rent + $100 utilities = $1450 Total Monthly
Andre can spend up to $1320 on rent & $320 on utilities, totaling at $1640. In this situation, Andre needs to save as much money as possible. Either on one of these apartments stay below the budget for monthly cost, but Apartment 2's rent goes $30 higher than his budget allows. In the end, this makes apartment 1 the best option for rent, utilities, and ultimate cost.
If Andre plans on staying within his budget, he should choose Apartment 1.
Andre would choose apartment 1 because its cost of rent and utilities is less than the budgeted costs of rent and utilities
A pie chart is shows information in a circle. The sum of angles in a pie chart is 360 degrees and the sum of percentages is 100.
The first step is to determine the total amount Andre can spend on rent according to the budget.
Total amount of budget = percentage of budget to be spent on rent x total income
33% x $4000
= 0.33 x $4000 = $1320
The second step is to determine the total amount of the budget that would be spent on utilities
Total amount to be spent on utilities = percentage of utilities x total income
8% x $4000
0.08 x $4000 = $320
The cost of rent and utilities of apartment 1 is less than the cost of the budgeted cost. While the cost of rent of apartment 2 is greater than the budgeted rent and its utilities is less than the and the budget for utilities. This makes Apartment 1 more appropriate.
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Find the area of this semi-circle with diameter,
d
= 11cm.
Give your answer rounded to 2 DP.
give a pair of alternate interior angles, a pair of corresponding angles and a pair of alternate exterior angles.
Tamika has $800 to spend at a bicycle store for some new gear and biking outfits. Assume all prices listed include tax.
She buys a new bicycle for $482.62.
She buys 3 bicycle reflectors for $10.84 each and a pair of bike gloves for $24.49.
She plans to spend some or all of the money she has left to buy new biking outfits for $52.93 each.
Which inequality can be used to determine o, the maximum number of outfits Tamika can purchase while staying within her budget?
The inequality that can be used to determine x, the number of outfits Tamika can purchase is; 539.63+ 52.93x ≤ 800
The given parameters are:
Budget = $800
New bicycle = $482.62
3 bicycle reflectors = $10.84 each
Pair of a bike gloves = $24.49.
New biking outfits = $52.93each.
Let the number of new biking outfits be x So, we have;
New bicycle + 3 . price of bicycle reflectors + Pair of a bike gloves + New biking outfits <= Budget
This gives;
482.62 + 3( 10.84) + 24.49+ 52.93x ≤ 800
This gives;
539.63+ 52.93x ≤ 800
Solve the inequality;
52.93x ≤ 260.37
Divide by 52.93
x ≤ 4.91
Hence, the inequality is 539.63+ 52.93x ≤ 800
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PLEASE HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Brandon invests $5800 in two different accounts. The first account paid 3 %, the second account paid 8 % in interest. At the end of the first year he had earned $229 in interest. How much was in each account?
$ ___ at 3 %
$ ____ at 8 %
Interest is a fee charged by a lender to a borrower for the use of money or credit, usually expressed as a percentage of the amount borrowed or invested over a period of time. Brandon invested $\(4700\) at 3% interest and $\(1100\) at \(8\)% interest. The total interest earned after one year is $229
How much was in each account?
Let x be the amount invested in the first account that pays 3% interest, and let y be the amount invested in the second account that pays 8% interest. Since the total amount invested is $5800, we have:
\(x + y = 5800\)
The amount of interest earned on the first account is 0.03x, and the amount of interest earned on the second account is 0.08y. Since the total interest earned after one year is $229, we have:
\(0.03x + 0.08y = 229\)
We now have two equations with two unknowns:
\(x + y = 5800\)
\(0.03x + 0.08y = 229\)
We can solve for x and y by using elimination or substitution method. Here, we will use the substitution method.
Solve the first equation for x:
\(x = 5800 - y\)
Substitute this expression for x into the second equation and solve for y:
\(0.03(5800 - y) + 0.08y = 229\)
\(174 - 0.03y + 0.08y = 229\)
\(0.05y = 55\)
\(y = 1100\)
Now substitute this value of y into either equation to solve for x:
\(x + 1100 = 5800\)
\(x = 4700\)
Therefore, Brandon invested $\(4700\) at 3% interest and $\(1100\) at \(8\)% interest.
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Ten students received their test grades back for Math 171.
80
88
60
52
96
58
66
Find the 5 number summary.
Answer:
5 number summary hulaan mo hhahah 82 56 92 78 68
Please Answer
Sabastian wanted to compare how much time his neighbors spend on the Internet to how much mail they receive in a week. He gathered data by surveying his neighbors.
Explain the steps Sabastian should take in order to analyze the data.
To analyze the data, Sabastian should follow the following steps:Define the research question,Collect the data,Organize the data,Analyze the data,Interpret the results and Communicate the results
1. Define the research question: He needs to clarify the research question, and identify the variables he is investigating.
2. Collect the data: He should obtain the data he needs through a survey, experiment, observation, or any other appropriate method.
3. Organize the data: He needs to sort and arrange the data in a meaningful way, such as using tables, graphs, or charts.
4. Analyze the data: He should use statistical techniques to explore the data and identify patterns, trends, and relationships among the variables.
5. Interpret the results: He should draw conclusions based on the data analysis, and assess the implications of the findings for the research question.
6. Communicate the results: He should present the findings in a clear and concise manner, using appropriate visuals and language, to effectively communicate the results to others.
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Please help with this math question!
Answer:
5. Proofs attached to answer
Step-by-step explanation:
Proofs attached to answer
In a class of pupils, 7 play the flute and
piano.
14 play the flute only.
10 play the piano only.
6 play neither instrument.
How many pupils are in the class?
Answer:
aassass
Step-by-step explanation:
aassav
aadke
ddwvme
Determine the midpoint of a line segment with each set of given endpoints (8,0) and (4,6) show work
The midpoint of the line member with endpoints( 8, 0) and( 4, 6) is
( 6, 3).
To find the midpoint of a line member with given endpoints( x₁, y₁) and
(x₂, y₂), you can use the midpoint formula
Midpoint = (( x₁ + x₂)/ 2,( y₁ + y₂)/ 2)
Given endpoints( 8, 0) and( 4, 6)
Using the midpoint formula
Midpoint = (( 8 4)/ 2,( 0 6)/ 2)
Midpoint = ( 12/ 2, 6/ 2)
Midpoint = ( 6, 3)
Thus, the midpoint of the line member with endpoints( 8, 0) and( 4, 6) is
( 6, 3).
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The following information was obtained from the accounting records of Letty Stores for the financial year ended 30 June 2021:
R
Inventory (1 July 2020)
100 000
Sales
600 000
Purchases
400 000
Sales returns
2 000
Purchases returns
3 000
Drawings: Bank
1 000
Inventory (30 June 2021)
120 000
Additional information:
1. On 29 June 2021, the owner took inventory with a cost price of R20 000 for own use. This transaction has not yet been recorded.
The entity uses the periodic inventory control system.
Required:
Use the information provided above to calculate the cost of sales for the year ended 30 June 2021.
Answer:
333234
Step-by-step explanation:
333234$ for the next 4 years and the ecvation is 69$+-2$
Think of a number puzzle
The equation is: (2x + 8) / 4 - 3 = x - 7
The solution is x = 12
How to solve the puzzleLet x be the number you thought of at the beginning. Following the steps:
Multiply by 2: 2x
Add 8: 2x + 8
Divide by 4: (2x + 8) / 4
Subtract 3: (2x + 8) / 4 - 3
The final answer is seven less than the number you thought of at the beginning: (2x + 8) / 4 - 3 = x - 7
The equation is: (2x + 8) / 4 - 3 = x - 7
2. (2x + 8) / 4 - 3 = x - 7
(1/2)x + 2 - 3 = x - 7
(1/2)x - 1 = x - 7
Now add 1 to both sides:
(1/2)x = x - 6
Subtract (1/2)x from both sides:
-1/2x = -6
Now multiply both sides by -2:
x = 12
3. Properties used to solve the puzzle
Addition Property of Equality
Multiplication Property of Equality
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A coin contains 9 grams of nickel and 16 grams of Copper, for a total of 25 grams. What percentage of the metal is copper?
Answer:
The copper percentage = 64%
Step-by-step explanation:
Given
Nickle quantity = 9 grams of nickelCopper quantity = 16 grams of nickelTotal quantity = 25 gramsThe percentage of copper metal can be determined using the formula
Copper percentage = [Copper quantity / Total quantity] × 100
= [16 / 25] × 100
= 0.64 × 100
= 64%
Therefore, the copper percentage = 64%
The parabola X= √y-9 opens: right left down up?
The parabola x = √(y - 9) opens upwards.The given parabolic equation is x = √(y - 9). Let's identify the direction of opening of this parabola.The general form of the equation of a parabola is y = a(x - h)² + k.
Comparing this to the given equation, we can see that h = 0 and k = 9. The vertex is therefore (h, k) = (0, 9). Now, let's determine whether the parabola opens upwards or downwards.
If the coefficient of (x - h)² is positive, the parabola opens upwards, and if it's negative, the parabola opens downwards. In this case, since the coefficient of (x - h)² is 1, which is positive, the parabola opens upwards.
Therefore, the parabola x = √(y - 9) opens upwards.
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Review the information given based on a principal balance of $18,000 to answer the question:
FICO Score Simple Interest Rate Total # of Payments Total Amount Paid
800-850 12%
29
740-799 15%
33
670-739 18%
38
48
580-669 21%
300-579 28%
60
$20,160.00
$20,700.00
$21,240.00
$21,780.00
$23,040.00
Calculate the percent increase in the amount of interest paid between a household with a 740 credit score and one with a
730 credit score. Round the final answer to the nearest tenth. (4 points)
O 20.0%
O 17.3%
O 19.5%
O 18.4%
Answer:
To calculate the percent increase in the amount of interest paid between a household with a 740 credit score and one with a 730 credit score , we need to find the total amount paid for each score and then calculate the percent increase.
From the given table , we can see that the simple interest rate for a credit score of 740-799 is 15%, and the total number of payments is 33 . So, the total amount paid for a principal balance of $18,000 with a credit score of 740 is:
Principal + Total Interest = Total Amount Paid
$18,000 + ($18,000 * 15% * 33/12) = $20,700
Similarly, for a credit score of 730, we need to use the simple interest rate for a credit score of 670-739 , which is 18%, and the total number of payments is 38. So, the total amount paid for a principal balance of $18,000 with a credit score of 730 is:
Principal + Total Interest = Total Amount Paid
$18,000 + ($18,000 * 18% * 38/12) = $21,240
Now, to calculate the percent increase in the amount of interest paid , we can use the following formula:
Percent increase = |(New value - Old value) / Old value| * 100%
Plugging in the values, we get:
Percent increase = |($21,240 - $20,700) / $20,700| * 100%
Percent increase = 2.6%
Rounding to the nearest tenth, we get the final answer as:
Percent increase = 2.6% ≈ 2.5% (rounded to the nearest tenth)
Therefore, the answer is O 2.5%.
Step-by-step explanation:
9x+12y=-108 Please solve this, but it cannot be in fraction form!!!
All you have to do is solve this by using substitution or elimination. or in this case, because we don’t have a second equation, we would solve the x-intercept and y-intercept
X=-12
Y=-9
Which percent is equivalent to 2 5/6?
Answer: 283.3333333% (283.3%)
Step-by-step explanation:
First, lets turn 2 5/6 into and improper fraction. It becomes 17/6.
Now, we divide 17/6
17/6 = 2.833333333
Now, to turn it into a percent, we multiply it by 100, or move the decimal point 2 places to the right. That gives us 283.3333333% (283.3%)
Hope this helps!
This circle graph shows how a college student breaks down her study time
in typical week. If the student spends 40 hours per week studying, how
much time is spent studying Math and French.
French, 23%
English, 11%
Art, 14%
Math, 21%
History, 31%
Instructions: Find the missing side lengths. Leave your answers as radicals in simplest form.
Help quick.
Answer: y=8 and x=8 radical 3
how many hundreds are there in 4376
Answer:
43 hundreds
Step-by-step explanation:
There are 40 hundreds in 4000.
4000/100=40.
Afterwards, you would add the other 3 hundred to the answer which would make the answer 43 since 300/100 is equal to 3, and 40 + 3 = 43
The remainder of the 76 left would be 7 tens and 6 ones also if you wanted to know.
10 one hundreds = 1000
3 one hundreds = 300
find the equation of the tangent to the circle 4x²+4y²=25 what are parallel to the line 3x+5y+7=0
Answer:
Step-by-step explanation:
To find the equation of the tangent to the circle 4x^2 + 4y^2 = 25 that is parallel to the line 3x + 5y + 7 = 0, we can use the following steps:
Rewrite the equation of the circle in standard form: (x - a)^2 + (y - b)^2 = r^2, where (a, b) is the center of the circle and r is the radius.
In this case, the equation of the circle is already in standard form, so we can skip this step.
Find the slope of the line 3x + 5y + 7 = 0. The slope is -3/5.
Find the slope of the tangent to the circle. The slope of the tangent will be equal to the slope of the line, which is -3/5.
Substitute the slope of the tangent and the coordinates of a point on the circle into the point-slope form of the equation of a line: y - y1 = m(x - x1), where (x1, y1) is a point on the circle and m is the slope.
In this case, we can substitute the coordinates of the center of the circle (which is (0, 0)) and the slope of the tangent (-3/5) into the point-slope form to get:
y - 0 = (-3/5)(x - 0)
Simplify to get the equation of the tangent: y = -3/5x.
Therefore, the equation of the tangent to the circle 4x^2 + 4y^2 = 25 that is parallel to the line 3x + 5y + 7 = 0 is y = -3/5x.
Use synthetic division to evaluate f(x) = x^3-4x^2+x-8 when x = 2.
Answer:
=-14
Step-by-step explanation:
Substitute 2 in for x:
Before- x^3-4x- + x-8 ; Now- 2^3 - 4* 2^2 + 2-8=-14
Evaluate the given algebraic expressions replacing x with -2 and y with 1
3x^2
Answer:
12
Step-by-step explanation:
3x^2
because the information provided states that x = -2, that is what we are going to replace x with.
3(-2)^2
the next step is to evaluate the power because that is next in PEMDAS.
(-2)^2 = 4
that leaves us with:
3 * 4 = 12 ( the " * " represents the multiplication sign)
hope this helps!
HELP PLEASE! Which reason is the justification for the statement that angle A ≅ angle B?
A) Vertical angles are congruent.
B) Linear angles are equal.
C) Intersecting lines form opposing angles.
D) Lines intersect at one point.