The x values to make a suitable ordered pair must be a multiple of 5
How to determine the best x values?The function is given as:
y = -2/5x + 2
The slope of the above equation is:
m = -2/5
The above is a fraction with a denominator of 5.
So, the x values to make a suitable ordered pair must also be a multiple of 5
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University Data
Receiving
Not Receiving
Total
Financial Aid
Financial Aid
Undergraduates
4222
3898
8120
Graduates
1879
731
2610
Total
6101
4629
10730
If a student is selected at random, what is the
probability that the student is a graduate
(rounded to the nearest percent)? [ ? ]%
Answer:
[tex] [/tex] [tex] [/tex] [tex] [/tex] [tex] [/tex]
Derrick had a 0.250 batting average at the end of his last baseball season, which means he got a hit 25% of the times he was up to bat. if derrick had 47 hits last season, how many times did he bat?
The number of times that Derrick batted last season is 188 times.
How many times did Derrick bat?
Percentage can be described as a fraction out of an amount that is usually expressed as a number out of hundred. Percentage is a measure of frequency. The sign used to denote percentage is %.
A percentage of 25% here means that twenty five times out of hundred times, Derrick hit the ball. In order to convert a percentage to a decimal, divide the percentage by 100.
Number of times Derrick bat last season = Number of hits last season / percentage of his batting average
47 / 25%
47 / 0.25 = 188
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On a coordinate plane, quadrilateral D G A R is shown. Point G is at (negative 8, 3), point A is (4, 8), point R is at (10, 0), and point (negative 2, negative 5).
A grid map marks the plot of Harold’s garden in meters. The coordinates of the quadrilateral-shaped property are G(–8, 3), A(4, 8), R(10, 0), and D(–2, –5). He wants to build a short fence around the garden.
The perimeter of his garden is
meters.
The perimeter of the garden is 46 units.
How to calculate the perimeter?To calculate for the perimeter of the garden, we have to solve for the measures of each of the sides of the four-sided polygon. That is calculated by getting the distances between consecutive points.
The equation for the distance is:
d = sqrt ((x₂ - x₁)² + (y₂ - y₁)²)
Distance from G and A,
d = sqrt ((4 - -8)² + (8 - 3)²)
d = 13
Distance from A to R,
d = sqrt ((10 - 4)² + (0 - 8)²)
d = 10
Distance from R to D,
d = sqrt ((-2 - 10)² + (-5 - 0)²
d = 13
Distance from D to G,
d = sqrt ((-8 --2)² + (-5 -3)²)
d = 10
Summing up all the four calculated distances will give us an answer of 46.
Thus, the perimeter of the garden is 46 units.
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Answer: 46 meters.
Step-by-step explanation: I just did it on edge 2023. Hope this helps!
help me pleaseeeeeeee
Answer:
x = -4/3 or x = 3/2
Step-by-step explanation:
Let's solve your equation step-by-step.
6x^2−x−12=0
Step 1: Factor left side of equation.
(3x+4)(2x−3)=0
Step 2: Set factors equal to 0.
3x+4=0 or 2x−3=0
x = -4/3 or x = 3/2
Answer:
x = -4/3 or x = 3/2
The difference in measure of two complemenatary angles is 12 find the measure of the angles
The measure of the angle is 51 degrees.
If the sum of two angles is ninety levels, then we say that they may be complementary. thus, the supplement of an attitude is received by means of subtracting it from 90. as an example, the supplement of 40° is ninety° - forty° = 50°.
If two attitudes are complementary, the sum in their measure is ninety tiers. So, the measures of the 2 complementary angles are 51 degrees and 39 degrees.
While the sum of angles is equal to ninety ranges, they are known as complementary angles. For example, 30 stages and 60 stages are complementary angles.
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What is the ratio?
Help me please I appreciate it :)
Answer:
I'm assuming that it is 4:1
Step-by-step explanation:
1.5, 2.25, 3.0, 3.75, ...
Which recursive formula can be used to determine the total amount of time spent making hats based on the total amount of time spent previously?
f(n + 1) = f(n) + 1.5
f(n + 1) = f(n) + 0.75
f(n + 1) = one-halff(n)
f(n + 1) = three-halvesf(n)
The recursive formula can be used to determine the total amount of time spent making hats based on the total amount of time spent previously is f(n + 1) = f(n) + 0.75
Recursive functionsThe general recursive function is expressed as:
an+1 = d + an
where
r is the common difference
Given the sequence below
1.5, 2.25, 3.0, 3.75, ...
Common difference = 2.25 - 1.5 = 0.75
Substitute
f(n + 1) = f(n) + d
f(n + 1) = f(n) + 0.75
Hence the recursive formula can be used to determine the total amount of time spent making hats based on the total amount of time spent previously is f(n + 1) = f(n) + 0.75
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Which point is the solution to the inequality shown in this graph?? Help pls
a.(0,5)
b.(-3,-1)
c.(0,0)
d.(3,3).
Answer:
only (0,5)
Step-by-step explanation:
(0,5) is in the shaded region on the graph, so it is a solution.
One other point is in the unshaded region so it is NOT a solution. The other two points are on the dashed line, so they are NOT solutions. If the line was solid (not dashed) they would work, but since the line is dashed they are NOT solutions.
Answer:
A. (0,5)
Step-by-step explanation:
Johnny created a chart using stick people to depict the frequency of the data. What type of chart did Johnny create
Johnny created a Tally marks chart.
A frequency distribution table displays the frequency of each data set in an organized way. It helps us to find patterns in the data and also enables us to analyze the data using measures of central tendency and variance. The first step that a mathematician does with the collected data is to organize it in the form of a frequency distribution table. All the calculations and statistical tests and analyses come later.
Tally Marks are used to keep a track of numbers in the quickest possible way. Tally marks are used for counting and are represented as a set of five lines in which there are four vertical lines (one vertical line is made for each of the first four numbers) and the fifth number is represented by a diagonal line across the previous four numbers. It can be understood through the given figure
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What value of k will result in the quadratic having one rational solution if 4x2+kx+4=0?
The value of 'k' in the quadratic Equation [tex]4x^{2}+kx+4=0[/tex] having one rational solution is k is 8.
What is a Quadratic Equation?Quadratic equations are the polynomial equations of degree 2 in one variable of the type [tex]f(x) = ax^{2} + bx + c = 0[/tex] where a, b, c, ∈ R and a ≠ 0.The standard form of a quadratic equation is [tex]ax^{2} + bx + c = 0[/tex] .Here, the given equation is [tex]4x^{2}+kx+4=0[/tex]
By comparing the given equation with the standard form of the quadratic equation we get,
a = 4
b = k
c = 4
The given quadratic is having one rational solution, which means [tex]b^{2} -4ac=0[/tex]
Therefore,
[tex]k^{2} -4 \times 4\times4=0\\k^{2} -64=0\\k^{2} =64\\k=\sqrt{64} \\k=8[/tex]
Therefore, the value of k is 8.
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Which geometric solids would model the tent?
cone and sphere
cylinder and cone
pyramid and rectangular prism
triangular prism and rectangular prism
Find the volume of the pyramid. Round to the nearest tenth if necessary.
Answer:
53.7
Step-by-step explanation:
The area of the rectangular base is 7(2.3)=16.1.
So, the total volume is (1/3)(16.1)(10), which is about 53.7
Which expression represents the product of ³ + 2x - 1 and 4 -³ +3?
I7-214-3
1¹+2x+2
1¹2-1⁹ +²+2x³ +6x-3
27-26 +225-3x² + 4x³ + 6x - 3
Don
The expression that gives the product of the polynomials x³ + 2x + 1 and 4x³ + 3 is:
[tex](x^3 + 2x + 1)(4x^3 + 3) = x^6 + 2x^4 + 7x^3 + 6x + 3[/tex]
How do we multiply polynomials?We multiply them applying the distributive property, multiplying all the terms and then combining the like terms.
In this problem, the factors are given as follows:
x³ + 2x + 1,4x³ + 3.Hence the multiplication will be given by:
[tex](x^3 + 2x + 1)(4x^3 + 3) = x^6 + 2x^4 + 7x^3 + 6x + 3[/tex]
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Pls, can someone help me? (whoever helps me gets BRAINLEIST)
Answer:
25 people
Step-by-step explanation:
These are the pieces of information we know.
- 1/6 who came to the restaurant ordered fish tacos
- There were 30 customers in total
- We need to find the number of people who did not order fish tacos
1. The number of people who ordered fish tacos can be expressed as: 30 x 1/6, which is 5. We know that 5 people ordered fish tacos.
2. Since we want to know the number of people who didn't want fish tacos, we take 5 away from 30: 30 - 5, which is 25.
25 people did not order fish tacos on Tuesday.
Jeremy rides a Ferris wheel. The graph shows h, Jeremy’s height above the ground at any time during the ride.
Which inequality represents the heights shown on the graph?
The inequality that represents the height that is displayed by the graph is: 10 ≤ h ≥ 50.
How to Identify the Inequality of a Graph?In an inequality graph, we the small circle at any end is shaded or full, the inequality sign used is either "less than or equal to" or "greater than or equal to" ("≤" or "≥"). If the circle is empty or not shaded, we use "less than" or "greater than" ("<" or ">").
In the graph showing Jeremy’s height above the ground at any time during the ride, we have a full circle (shaded) starting from 10, and another on the right at 50.
This implies that the range of height is from 10 to 50. Since the circle is full (shaded), then we would use "less than or equal to" and "greater than or equal to" ("≤" and "≥") in writing the inequality that represents the height.
Thus, where h is the height, the inequality would be: 10 ≤ h ≥ 50.
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Solve for X if possible:
5x -4y = 24
x =
Answer:
x=6 because if you multiple 4x6 you get 24
not exactly sure but try
Answer:
it is not possible
Step-by-step explanation:
there are two different variables in one equation, so you cannot solve for one. You would need a system of equations to do that.
you can solve for x in terms of y, which is x = (24+4y)/5 but i dont think thats what the question is asking so the answer is probably just that its not possible
A metallurgist has one alloy containing 39% copper and another containing 65% copper. How many pounds of each alloy must he use to make 48 pounds of a third alloy containing 62% copper? (Round to two decimal places if necessary.)
The metallurgist must use 5.538 pounds of an alloy with 39 % copper and 42.462 pounds of an alloy with 62 % copper.
How to calculate proportions of components associated to an alloy
Herein we must create a new alloy by using correct quantities of two alloys with distinct copper concentrations. All required information can be found by concept of weighted averages:
(62/100) · (48 lb) = (39/100) · x + (65/100) · (48 - x)
62 · 48 = 39 · x + 65 · 48 - 65 · x
3 · 48 = 26 · x
x = 5.538 lb
The metallurgist must use 5.538 pounds of an alloy with 39 % copper and 42.462 pounds of an alloy with 62 % copper.
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Noah has a summer tree-trimming business. Based on experience, Noah knows that his profit, P, in dollars, can be modelled by = −3^2 + 150 − 1200, where x is the amount he charges per tree.
1. How much does he need to charge if he wants to break even?
2. How much does he need to charge if he wants to make a profit of $600?
Solving quadratic equations, it is found that he needs to charge:
1. He needs to charge $40 to break even.
2. He needs to charge $30 for a profit of $600.
What is a quadratic function?A quadratic function is given according to the following rule:
[tex]y = ax^2 + bx + c[/tex]
The solutions are:
[tex]x_1 = \frac{-b + \sqrt{\Delta}}{2a}[/tex][tex]x_2 = \frac{-b - \sqrt{\Delta}}{2a}[/tex]In which:
[tex]\Delta = b^2 - 4ac[/tex]
The profit equation in this problem is:
P(x) = -3x² + 150x - 1200.
He breaks even when P(x) = 0, hence:
-3x² + 150x - 1200 = 0.
The coefficients are a = -3, b = 150, c = -1200, hence:
[tex]\Delta = 150^2 - 4(-3)(-1200) = 8100[/tex][tex]x_1 = \frac{-150 + \sqrt{8100}}{-6}[/tex][tex]x_2 = \frac{-150 - \sqrt{8100}}{-6} = 40[/tex]He needs to charge $40 to break even.
For a profit of $600, we have that P(x) = 600, hence:
-3x² + 150x - 1200 = 600.
-3x² + 150x - 1800 = 0.
The coefficients are a = -3, b = 150, c = -1800, hence:
[tex]\Delta = 150^2 - 4(-3)(-1800) = 900[/tex][tex]x_1 = \frac{-150 + \sqrt{900}}{-6}[/tex][tex]x_2 = \frac{-150 - \sqrt{900}}{-6} = 30[/tex]He needs to charge $30 for a profit of $600.
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Can any one help me?
Answer:
64
Step-by-step explanation:
2x-4y=3
x= (3 +4y)/2
substitute into the main equation
y= 0
x= 3/2
16^x /256^y
16^3/2 ÷ 256^0
√16^3 ÷1
= 64
Answer:
64
Step-by-step explanation:
2x - 4y = 3
2x = 4y + 3
x = 2y + 1.5
[tex] \dfrac{16^x}{256^y} = [/tex]
[tex] = \dfrac{16^{2y + 1.5}}{256^y} [/tex]
[tex] = \dfrac{16^{2y + 1.5}}{16^{2y}} [/tex]
[tex] = 16^{2y + 1.5 - 2y} [/tex]
[tex] = 16^\frac{3}{2} [/tex]
[tex] = 4^3 [/tex]
[tex] = 64 [/tex]
Please help with the bonus! Thank you:)
a. The function that models the situation is F(t) = 48(1.08)ˣ
b. The price of the stock 6 years from now is $76.17
c. Find the graph in the attachment
d. I receive a dividend of $0.026.
a. Write a function f(t) that models the situation.Since the stock price increases at a rate of 8% every year, and is initially $48, it follows exponential growth.
So, the current price [tex]F(t) = A(1 + r)^{t}[/tex] where
A = price at current moment = $48, r = rate of growth = 8% = 0.08 and t = number of yearsSo, [tex]F(t) = A(1 + r)^{t}[/tex]
[tex]F(t) = 48(1 + 0.08)^{t} \\= 48(1.08)^{t}[/tex]
So, the function that models the situation is F(t) = 48(1.08)ˣ
b. Determine the price of the stock 6 years from now?The price of the stock 6 years from now is gotten when t = 6.
So,
[tex]F(t) = 48(1.08)^{t} \\= 48(1.08)^{6} \\= 48(1.5869)\\= 76.17[/tex]
So, the price of the stock 6 years from now is $76.17
c. Sketch a graph of the price of the function vs time in yearsFind the graph in the attachment
d. BonusSince every quarter, the company pays a dividend of 1.5 %, the rate per year would be r = 1.5 % ÷ 1/4 year = 1.5 % × 4 = 6 % per year.
Since they pay at a rate, r = 6 % = 0.06 of the stock price, F(t) as dividend.
After n years, the dividend is D = (r)ⁿF(t)
= (0.06)ⁿF(t)
So, [tex]D = (0.06)^{t}F(t) \\= (0.06)^{t}[4.8(1.08)^{t}][/tex]
So, after 3 years when t = 3,
[tex]D = (0.06)^{t}[4.8(1.08)^{t}]\\D = (0.06)^{3}[4.8(1.08)^{3}]\\D = 0.000216 \times 48 \times 1.2597\\D = 0.013[/tex]
Since there are 3 shares, the total dividend would be D' = 3D
= 3 × 0.013
= 0.026
So, i receive a dividend of $0.026
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Can someone help me with these problems having trouble and show work please !
Answer:
1.x=0, –10
2.x=3, 4
Step-by-step explanation:
1.
x(x+10)=0===> x=0, –10
2.
x²–3x–4x+12===> x²–7x+12=0
(x–3)(x‐4)=0====> x=3, 4
If sint=18 , and t is in quadrant i, find the exact value of sin(2t) , cos(2t) , and tan(2t) algebraically without solving for t
The value of Sin2t is 1/4 and cos2t is (15/16)^1/2 and tan2t is 1/(15)^1/2.
According to the statement
we have given that the sint=1/8 then we have to find the exact value of
sin(2t) , cos(2t) , and tan(2t).
Here the value of Sint = 18
then sin2t becomes
sin2t = 2*1/8 then
sin2t = 1/4.
And
(Cos2t)^2 = 1 - (Sin2t)^2
(Cos2t)^2 = 1 - 1/16
(Cos2t)^2 = (16 - 1)/16
(Cos2t)^2 = 15/16
(Cos2t) = (15/16)^1/2
then
tan2t = sin2t/cos2t
tan2t = (1/4)/(15)^1/2 / 4
tan2t = 1/(15)^1/2
these are the values of given terms.
So, The value of Sin2t is 1/4 and cos2t is (15/16)^1/2 and tan2t is 1/(15)^1/2.
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calculate 20% of rs 250000
Answer:
50,000
Step-by-step explanation:
20% can be rewritten as 0.2 times 250000: 0.2*250000 = 50,000
Clark works for Acme Bank and asks for your assistance. He wants you to look at a property that's about to go into foreclosure and provide him with a report on its current marketability and an approximate market value. What's Clark most likely asking you to provide
The information that Clark is asking me to provide for him regarding the property is called Brokers Price Opinion (BPO).
What is BPO?
The term BPO refers to Brokers Price Opinion. It is the opinion of a genuine real estate professional regarding the accurate pricing of a property.
The information that Clark is asking me to provide for him regarding the property is called Brokers Price Opinion (BPO).
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A rectangular parking lot is 253.5 feet long and 176.5 feet wide. a 55-gallon drum of asphalt sealer covers
4,000 square feet and costs $99.50. find the cost to seal the parking lot. (sealer can only be purchased in full
drums.)
Answer:
$1,194
Step-by-step explanation:
The area of the parking lot is 253.5(176.5) which equals 44,472.75. You then divide 44,472.75 by 4000 to see how many gallons you need to cover the parking lot. The answer to that was about 11.2 and since you can only purchase full drums you have to round it up to 12 to have enough. Finally, you multiply 12 by 99.50 and get your answer.
i need major help completing math questions (im terrible at it.)
Answer:
78.5 inches square is the answer
Step-by-step explanation:
area-3.14*(5)^2
If f(x)= 2x/7+4 which of the following is the inverse of f(x)
The inverse of the function f(x)= 2x/7 + 4 is y = 7x/2 - 14.
What is the inverse of the function?
Given the function; f(x)= 2x/7 + 4
First. we write the function as an equation then interchange the variables.
y = 2x/7 + 4
x = 2y/7 + 4
We solve for y.
2y/7 = x - 4
2y = 7x - 28
y = 7x/2 - 28/2
y = 7x/2 - 14
Therefore, the inverse of the function f(x)= 2x/7 + 4 is y = 7x/2 - 14.
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If a rectangular cross-section with coordinates at (1, 1), (1, 4), (3, 4) and (3, 1) is rotated about the line y = 1, what will be the resulting three-dimensional object? cone cylinder sphere pyramid
Answer:
Step-by-step explanation:
Comment
The first thing you ought to notice is that the original shape is a rectangle, with 2 of the y coordinates of the 4 points of 1. What that statement means is that two of the points (1,1) and (3,1) both sit on the line y = 1. they don't move. The other two points do move and they form a circular shape. So what you are going to get is a cylinder.
Answer: cylinder
Answer: 345
Step-by-step explanation: the alls
pls answer this fast i need the answer
Using a system of equations, the parts are of 14 and 20.
What is a system of equations?A system of equations is when two or more variables are related, and equations are built to find the values of each variable.
In this problem, the variables are x and y. The total is of 34, hence:
x + y = 34 -> y = 34 - x.
The ratios are given as follows:
[tex]\frac{4}{7}x = \frac{2}{5}y[/tex]
Then:
[tex]\frac{4}{7}x = \frac{2}{5}(34 - x)[/tex]
20x = 14(34 - x)
34x = 34 x 14
x = 14, y = 34 - 14 = 20.
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Mr. smith leaves 3 hours before mrs smith. if he averages 55mph and she 65mph how many hours will it take mrs smith to catch up
It will take 16hr 30min for Mrs. Smith to catch up.
To find how many hours will it take Mrs smith to catch up:Let,
t + 3 = Time of Mr. Smith
t = Time of Mrs. Smith
v1 = 55 mph the speed of Mr. Smith
v2 = 65 mph the speed of Mrs. Smith
Formula: Distance = speed × time
v1 ( t + 3) = v2t
55 ( t + 3 ) = 65t
65t = 55t + 165
65t - 55t = 165
10t = 165
t = 16.5 hr
t = 16 hr 0.5 × 60 min
t = 16 hr 30 min
Therefore, it will take 16hr 30min for Mrs. Smith to catch up.
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