The increase in number will be 1,478,400.
The projected number of students in an associate degree program in 2024-2025 is 7878400.
How to calculate the value?The the number of students enrolled in an associate degree program is projected to increase by 23.1 % and the enrollment in associate degree programs in 2014-2015 is 6,400,000.
The increase will be:
= Percentage increase × Enrollment
= 23.1% × 6,400,000
= 1,478,400
The projected number will be:
= Original number + Increase
= 6400000 + 1478400
= 7878400
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Create a table of values for the function graphed below using the plotted points. Remember, table of values are written with the -values in order from least to greatest (read the graph from left to right).
To create the table of values, we need to find the coordinates of the given points.
The coordinatesare given by (x,y), where x ican be found by drawing an imaginary vertical line passing through the point, and the x-value is the value of the x-axis where the line intercepts the x-axis.
The y-coordinate is given by the point of interception on the y-axis of a horizontal line passing through the point, so, for the fir tpoint the coordinates are:
[tex]\begin{gathered} (-2,5) \\ x-value\rightarrow-2 \\ y-value\rightarrow5 \end{gathered}[/tex]If we apply the same procedure to the next points, we can find the following coordinates:
[tex]\begin{gathered} (-1,4) \\ (0,3) \\ (1,2) \\ (2,1) \end{gathered}[/tex]Thus, th table of values will be:
x y
-2 5
-1 4
0 3
1 2
2 1
Pls help with the question in the picture. 20 Points and brainliest.
Answer:
**NEED USEFUL ANSWER ASAP, H.W QUESTION**
Given that hotter blackbodies produce more energy than cooler blackbodies, why do cooler red giants have much higher luminosities than much hotter white dwarfs?
Step-by-step explanation:
11) Describe the number and type of roots for 2x2 + 19x - 33 = 0.[A] 2 real solutions [B] 2 complex solutions [C] 1 real solution[D] 1 complex solution
Explanation:
The first thing we will do is to solve for x in the equation:
Using factorization method:
The factors are +22 and -3. This because the addition of this number will give you the coefficient of x (19) while the multiplication will give -66
Please help me ASAP I’ll mark brainly
1. The scholar made a mistake in the last step
where he said x=3.5
SCHOLA DIVIDED 7 BY 2 INSTEAD OF DIVIDING BY 0.5
[tex]0.5x = 7 \\ \frac{0.5x}{0.5} = \frac{7}{0.5} \\ x = 14
AS A RESULTS GOT WRONG ANSWER . x is supposed to be 14.
Translate to an algebraic expression Twice "a"The translation is ...
Okay, here we have this:
Considering that twice an amount generally indicates taking two of the things in question; generally this indicates multiplying by 2.
This mean that if we have "twice a" when transferring it to an algebraic expression we obtain: 2a.
I’m trying to understand where I should shade a graph given the narrative
we have the system
[tex]\begin{gathered} x+y\leq4 \\ y\leq-x+4 \end{gathered}[/tex]The solution to the first inequality is the shaded area below the solid line y=-x+4
[tex]x\ge2[/tex]The solution to the second inequality is the shaded area to the right of the solid vertical line x=2
therefore
The solution to the system is the shaded area below the solid line y=-x+4 and to the right of the solid vertical line x=2
using a graphing tool
see the attached figure below
The solution is the triangular area
Coffee Shop PricesCup CostSmall $2Regular $4Large $5David and Jon are placing coffee orders for their friends.David orders 10 large cups of coffee. Jon orders 4 fewer large cups than David. Jon pays for his orders with a $50 bill.Jon wants to know how much he spent on coffee.What is a good plan to find the amount Jon spent on coffee?3rd grade student
Step 1:
Cost of large cup = $5
Step 2:
Number of large David orders = 10 cups
A good plan to find the amount Jon spent is to find the number of large cups Jon orders from the number of large cups David orders.
Jon order 4 fewer large cups
Therefore,
Jon order = 6 cups
Step 3:
A good plan to find the amount Jon spent is to find the number of large cups Jon orders from the number of large cups David orders.
The amount Jon spent on coffee = 6 x $5 = $30
The price of acorn squash is proportional to the weight in pounds. You pay $6.36 for 4 pounds of acorn squash. How much does3 pounds of acorn squash cost?
In order to calculate the cost for 3 pounds of acorn squash, we can write the following rule of three:
[tex]\begin{gathered} \text{weight}\to\text{cost} \\ 4\text{ pounds}\to6.36 \\ 3\text{ pounds}\to x \end{gathered}[/tex]Then, we can write the following equation and solve it for x:
[tex]\begin{gathered} \frac{4}{3}=\frac{6.36}{x} \\ 4\cdot x=3\cdot6.36 \\ 4x=19.08 \\ x=\frac{19.08}{4} \\ x=4.77 \end{gathered}[/tex]Therefore the cost of 3 pounds is $4.77.
The three sides of a triangle are n, 4n - 2, and 4n - 7. If the perimeter of the triangle is 45 cm, what is the length of each side? Separate multiple entries with a comma.
6, 22, 17
ExplanationStep 1: writing the equation
We have a triangle with sides n, 4n - 2, and 4n - 7
We obtain its perimeter if we add all its sides:
n + 4n - 2 + 4n - 7
Since the perimeter is 45 cm, then:
n + 4n - 2 + 4n - 7 = 45
combining like terms:
n + 4n +4n = 9n
and
-2 - 7 = -9
then, we have:
n + 4n - 2 + 4n - 7 = 45
↓
9n - 9 = 45
Step 2: finding n
Now we solve the equation:
9n - 9 = 45
↓ taking -9 to the right
9n - 9 + 9 = 45 + 9
9n = 54
↓ taking 9 to the right
n = 54/9 = 6
Then, n = 6
Step 3: sides measure
Since the measure of the first side is given by n,
then its length is
n = 6
SInce the measure of the second side is given by 4n-2,
then its length is
4n - 2 = 4 · 6 - 2
= 24 - 2
= 22
SInce the measure of the third side is given by 4n - 7,
then its length is
4n - 7 = 4 ·6 - 7
= 24 - 7
= 17
That is why the measures are 6, 22 and 17.
Cylinder A has radius r, height h, and a volume of 10 pi cubic units. Cylinder B hastwice the radius and twice the height.hATBWhat is the volume of cylinder B?I2r2h
Volume of a cylinder:
[tex]V=h*r^2*\pi[/tex]For cylinder A:
[tex]10\pi cm^3=h*r^2*\pi[/tex]For cylinder B:
[tex]V_B=2h*(2r)^2*\pi[/tex]Simplify the equation for volumen of cylinder B:
[tex]\begin{gathered} V_B=2h*4r^2*\pi \\ V_B=8*(h*r^2*\pi) \end{gathered}[/tex]in the equation for the volume of cylinder A you have the value of h*r^2*π:
[tex]\begin{gathered} V_B=8*(10\pi cm^3) \\ V_B=80\pi cm^3 \end{gathered}[/tex]Then, the volume of cylinder B is 80π cubic centimeters.Fill in the table using this function rule. y = 2x+4
The complete table using the given linear equation is x y
-4 -4
-2 0
0 4
2 8
What are linear equations?A linear equation is one that has the form Ax+By=C. This definition comes from mathematics. It consists of two variables combined with a constant value that exists in each of them.
The values of the variables will be obtained when the system of linear equations is solved; this is referred to as the solution of a linear equation.
Given the linear equation y = 2x + 4
If x = -4
y =2(-4) + 4
y = -4
If x = -2
y =2(-2) + 4
y = 0
If x = 0
y =2(0) + 4
y = 4
If x = 2
y =2(2) + 4
y = 8
Hence the complete table using the function is
x y
-4 -4
-2 0
0 4
2 8
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Complete question
Fill in the table using this function rule. y=2x -4
x y
-4 ?
-2 ?
0 ?
2 ?
Can you please help me with 44Please use all 3 forms of the expression such as : down/up. As _,_ And limits
Answer:
[tex]\begin{gathered} x-\text{intercept}=-3\text{ and 1} \\ y-\text{intercept}=\text{ -9} \end{gathered}[/tex][tex]\begin{gathered} x=1\text{ multiplicity 3} \\ x=-3\text{ multiplicity 2} \\ \lim _{x\rightarrow\infty}(x-1)^3(x+3)^2=\infty \\ \lim _{x\rightarrow-\infty}(x-1)^3(x+3)^2=-\infty \end{gathered}[/tex]Step-by-step explanation:
To find the x-intercepts factor the function to the simplest form:
[tex]h(x)=(x-1)^3(x+3)^2[/tex]As we can see the zeros to the function would be 1 and -3, then its:
[tex]\begin{gathered} x-\text{intercept}=-3\text{ and 1} \\ y-\text{intercept}=\text{ -9} \end{gathered}[/tex]Zero has a "multiplicity", which refers to the number of times that its associated factor appears in the polynomial. Therefore, this function has multiplicity:
[tex]\begin{gathered} x=1\text{ multiplicity 3} \\ x=-3\text{ multiplicity 2} \end{gathered}[/tex]For the end behavior:
down/up
As x approaches infinity f(x) approaches infinity
As x approaches -infinity f(x) approaches -infinity
[tex]\begin{gathered} \lim _{x\rightarrow\infty}(x-1)^3(x+3)^2=\infty \\ \lim _{x\rightarrow-\infty}(x-1)^3(x+3)^2=-\infty \end{gathered}[/tex]I am canfusing in this question can you solve it.
Answer:
Step by step explanation:
I will show you the pic
We are given the following system of equations:
[tex]\begin{gathered} 6x-4y=-8,(1) \\ y=-6x+2,(2) \end{gathered}[/tex]To solve this system by substitution we will replace the value of "y" from equation (2) in equation (1)
[tex]6x-4(-6x+2)=-8[/tex]Now we use the distributive property:
[tex]6x+24x-8=-8[/tex]Now we add like terms:
[tex]30x-8=-8[/tex]Now we add 8 to both sides:
[tex]30x-8+8=-8+8[/tex]Solving the operations:
[tex]30x=0[/tex]Dividing by 30:
[tex]x=\frac{0}{30}=0[/tex]Therefore x = 0. Now we replace the value of "x" in equation (2):
[tex]\begin{gathered} y=-6x+2 \\ y=-6(0)+2 \\ y=2 \end{gathered}[/tex]Therefore, the solution of the system is:
[tex](x,y)=(0,2)[/tex]what is the GCF of 6x+18/x^2-x-12
The GCF of the expression 6x+18/x^2-x-12 is (x+3)
How to find the GCF of the expression?The GCF (Greatest Common Factor) of two or more numbers or expressions is the greatest number or expression among all the common factors of the given numbers or expressions
Given 6x+18/x²-x-12
We can write 6x+18/x²-x-12 as:
6x+18/x²-x-12 = 6x+18/x²-4x+3x-12 By factorization:
= 6(x+3) / (x+3)(x-4)
Since (x+3) is common to both the numerator and the denominator. Therefore, the greatest common factor (GCF) is (x+3)
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if you're lonely then be lonely with me but I need your help
Let's use distributive property to simplify:
[tex]-35-5x+2\frac{5}{6}x=0[/tex]Now we add up the x's and take number to another side:
[tex]\begin{gathered} -5x+2\frac{5}{6}x=35 \\ -2\frac{1}{6}x=35 \end{gathered}[/tex]We make 2 and one-sixth into improper fraction and divide to get x:
[tex]\begin{gathered} -\frac{13}{6}x=35 \\ x=\frac{35}{-\frac{13}{6}} \\ x=35\cdot-\frac{6}{13}=-\frac{210}{13} \end{gathered}[/tex]x is "minus 210 over thirteen"
Based on your knowfedgs of the two data sets described below, would you espect a scatter plot describing the two data sets to have a positive, a negative, or nocorrelationduration of usage and the charge in the battery of a mobile phone
We expect the variable to have a negative correlation.
This means that the more we use the phone the lower the charge will be.
What is the coordinate of the midpoint of S the midpoint of ST write your answer as an integer or a decimal or mixed number in simple Form.
We have a segment ST in a number line.
We can calculate the midpoint M as the average of the position of the endpoints S and T.
The position of S is 11 and the position of T is 13, so the midpoint will be:
[tex]M=\frac{S+T}{2}=\frac{11+13}{2}=\frac{24}{2}=12[/tex]Answer: the midpoint is 12.
Valerie drives 400 meters up a hill that makes an angle of 20° with thehorizontal. To the nearest tenth of a meter what horizontal distance hasshe covered? A.425.7mt B.375.9mt C.1169.5mt or D.136.8mt
Given:
Valerie drives 400 meters up a hill that makes an angle of 20° with the horizontal.
To find:
The horizontal distance she has covered.
Solution:
The figure showing the scenario is as follows:
Let the horizontal distance traveled be x meters.
The horizontal distance traveled can be obtained using the trigonometric function cosine.
In the figure,
[tex]\begin{gathered} \cos 20=\frac{x}{400} \\ 0.94=\frac{x}{400} \\ x=400\times0.93969 \\ x=375.877 \end{gathered}[/tex]Thus, the horizontal distance covered is 375.9 ft.
Thus, option B is correct.
Patrick is responsible for choosing the company his local community group will use for having T-shirts printed. He must choose between Initial Me and Monogram Mania. Both companies charge an initial set-up fee and then charge per T-shirt printed.
The graph shows the cost of purchasing T-shirts from Initial Me and the cost of purchasing T-shirts from Monogram Mania.
Which statements are true about Initial Me and Monogram Mania?
Select each correct answer.
Step 1:
The initial cost of Initial Me = 50
The initial cost of Monogram Mania = 80
Step 2:
Both Initial Me and Monogram Mania cost the same for 10 T-shirts printed of 130
Step 3:
Monogram Mania charges less per T-shirt printed than Initial Me charges.
The average cost of Monogram Mania is less than that of Initial Me.
Final answer
Monogram Mania charges less per T-shirt printed than Initial Me charges.
what angle is Supplementary to angle 2 and what are the Verticle angles in this picture?
Suplementary angle = 180° - angle 2
is Angle 1,
because Angle 2 + Angle 1 = 180°
Part 2. Vertical angles are
Angles 2 and 5
b. (-4,-1) Y= 4/3 x + 6What’s the equation of the line in standard form
When two lines are perpendicular, the slopes of the lines m1 and m2 are related such that
m1m2 = -1
from the given equation comparing with tyhe general form of the equation of a line (y = mx + c)
m1 = 4/3
The slope of the perpendicular line is -3/4
The equation of the line
y- -1 = -3/4(x - -4)
y + 1 = -3/4(x + 4)
y + 1 = -3x/4 - 3
Subtract 1 from both sides
y + 1 - 1 = -3x/4 - 3 - 1
y = -3x/4 - 3 - 1
y = -3x/4 - 4
This is the standard form of the equation
32. Which statement is true if m and n are parallel? A slope m = slope (n)B slope m= -1 (Divide) slope (n)C slope m= 1 (Divide) slope (n)D slope m= -1 x slope (n)
Two lines that parallel, their slopes are equals.
L1 and L2 are parallel only if the slopes of the lines are s1 and s12 are identical
therefore the correct answer is A. slope m = slope (n) since they say that two slopes the same
The sum of three consecutive integers is -39. What are the three numbers? Enter your answer as three numbers separated by a comma.
Answer:
-12, -13, and -14
Explanation:
x, y, and z are the three consecutive numbers and they sum -39, so we can write the following equation
x + y + z = -39
Since these numbers are consecutives, we get
y = x + 1
z = x + 2
So, replacing these equation on the first one and solving for x, we get
x + y + z = -39
x + (x + 1) + (x + 2) = -39
x + x + 1 + x + 2 = -39
3x + 3 = -39
3x + 3 - 3 = -39 -3
3x = -42
3x/3 = -42/3
x = -14
Then, y and z are
y = -14 + 1 = -13
z = -14 + 2 = -12
Therefore, the consecutive numbers are
-12, -13, and -14
The time spent waiting in the line is approximately normally distributed. The mean waiting time is 5 minutes and the standard deviation of the waiting time is 3 minutes. Find the probability that a person will wait for more than 1 minute. Round your answer to four decimal places.
We were given the following details:
This is a normal distribution. Normal distributions are solved using the z-score
[tex]\begin{gathered} \mu=5min \\ \sigma=3min \end{gathered}[/tex]The z-score for a value, X is calculated using the formula:
[tex]\begin{gathered} Z=\frac{X-\mu}{\sigma} \\ The\text{ probability that a person will wait more than 1 minute implies that: }X=1 \\ Z=\frac{1-5}{3} \\ Z=-\frac{4}{3} \\ At\text{ Z =}-\frac{4}{3}\text{, pvalue =}0.091759 \\ The\text{ probability that a person waits more than 1 minute is given by:} \\ P=1-0.091759 \\ P=0.908241\approx0.9082 \\ P=0.9082\text{ or }90.82\text{\%} \end{gathered}[/tex]Karine invests $6,100 in an account with an annual interest rate of 4.5% compounded daily for 2 years.What is the return on investment for Karine's account?
The return on investment for Katerine's account = 9.4%
Explanation:Amount invested is the principal
Principal, P = $6,100
Annual Interest Rate, r = 4.5% = 0.045
The interest is compounded daily
Number of times the interest is compounded per year, n = 365
Number of years, t = 2 years
The amount after 2 years is calculated as:
[tex]\begin{gathered} A(t)=P(1+\frac{r}{n})^{nt} \\ A=6100(1+\frac{0.045}{365})^{365(2)} \\ A=6100(1.094) \\ A=6673.4 \end{gathered}[/tex]The amount after 2 years = $6673.4
The interest = Amount - Principal
The interest = $6673.4 - $6100
The interest = $573.4
The return on investment is calculated as:
[tex]\begin{gathered} \text{ROI = }\frac{Interest}{Pr\text{incipal}}\times100\text{ \%} \\ \text{ROI}=\frac{573.4}{6100}\times100\text{ \%} \\ \text{ROI = }9.4\text{ \%} \end{gathered}[/tex]The return on investment for Katerine's account = 9.4%
Point-Slope Form: y + 2 = -7(x − 4)Rewrite the equation in slope-intercept form
Given the equation of a line in Point-Slope Form:
[tex]y+2=-7(x-4)[/tex]You need to rewrite it in Slope-Intercept Form:
[tex]y=mx+b[/tex]Where "m" is the slope of the line and "b" is the y-intercept.
Then, you have to solve for "y":
1. Apply the Distributive Property on the right side of the equation. Remember the Sign Rules for Multiplication:
[tex]\begin{gathered} +\cdot+=+ \\ -\cdot-=+ \\ -\cdot+=- \\ +\cdot-=- \end{gathered}[/tex]Then:
[tex]y+2=(-7)(x)+(-7)(-4)[/tex][tex]y+2=-7x+28[/tex]2. Apply the Subtraction Property of Equality by subtracting 2 from both sides of the equation:
[tex]y+2-(2)=-7x+28-(2)[/tex][tex]y=-7x+26[/tex]Hence, the answer is:
[tex]y=-7x+26[/tex]111. 12 people fit comfortably in a 5 feet by 5 feet area. Use this value to estimate the size of a crowd that is 25feet deep on both sides of the street along a 3-mile section of a parade route (Hint: 1 mile - 5 280 ft)
Answer:
The estimated crowd is of 380160 people.
Step-by-step explanation:
We solve this question applying a proportion on the following format:
People divided by area.
Let's do the drawing:
12 people fit comfortably in a 5 feet by 5 feet area.
So
12 people fitting in an area of 5*5 = 25 ft².
Area of the street:
3 miles = 3*5280 ft = 15840 ft
25 feet on both sides. So, the total area in which the crowd is sparsed is:
A = 15840*25*2= 792000 ft².
Now we apply the ratio:
People over area.
[tex]\frac{12}{25}=\frac{x}{792000}[/tex]Applying cross multiplication:
25x = 12*792000
x = (12*792000)/25
x = 380160
The estimated crowd is of 380160 people.
Rewrite the expression 3(12 - 10) using the distributive property of multiplication over subtraction.
The resulting expression using the distributive property of multiplication over subtraction is 3(12) - 3(10).
What is distributive property of multiplication?The distributive property of binary operations extends the distributive law, which states that in elementary algebra, equality is always true.
For instance, given the expression;
A(B - C)
We will have to distribute A over B and C to have;
A(B - C) = AB - AC
Applying the rule to the given expression
3 (12 - 10)
3(12) - 3(10)
This shows that the given expression can also be written as 3(12) - 3(10)
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6. Diagram this statement. Then answer the questions (22) that follow. One third of the 60 questions on the test were true false. (a) How many of the questions on the test were true- false? (b) How many of the questions on the test were not true- false? (C) What percent of the questions were true-false?