a right prism with a base perimeter of 9 units a height of 5 units and a total base of 16 square units has a surface area of how many square units?
there is two boxes to fill out
solve the inequality 6x<18
help again pleaseeeeeeejshfhfuuffufuf
which of the following are exterior angles ?
Answer:
A, C, and E
Step-by-step explanation:
The exterior angles are ∠2, ∠3, ∠4 and ∠6.
The correct options are E, F, A, and C.
Based on the information provided, we can identify the exterior angles by their positions outside the triangle. From the given options, the exterior angles are: ∠2, ∠3, ∠4 and ∠6.
Exterior angles are formed by extending one side of the triangle outward, and they lie outside the triangle itself. In this case, angles ∠1 and ∠5 are interior angles because they are inside the triangle, while angles ∠2, ∠3, ∠4 and ∠6 are exterior angles as they extend beyond the sides of the triangle.
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Points (−7, 5) and (7, 5) on the coordinate grid below show the positions of two players of a football team: A coordinate plane is shown. There is a point at 7, 5 labeled Player 2. There is a point at negative 7, 5 labeled Player 1.
Answer:
you just need to make your math to right a little more math
Step-by-step explanation:
The distance between the two soccer players positioned at (-7, 5) and (7, 5) in a Cartesian coordinate system is 14 units, calculated using the difference in x-coordinates.
The question is focused on understanding the Cartesian coordinate system and calculating distances between points on this grid. To determine the distance between two points on a soccer field, one can apply the distance formula derived from the Pythagorean theorem. If the positions of the two players are (-7, 5) and (7, 5), the players are aligned horizontally and share the same y-coordinate. Therefore, their distance apart is simply the difference in their x-coordinates, which can be calculated by subtracting the x-coordinate of player 1 from that of player 2 or vice versa. The result is the absolute value of the difference, |7 - (-7)| = 14 units, which is their horizontal separation on the field.
x varies directly as y, and x = 153 when y = 9. Find x when y = 13.
153/9 = x/13
153 x 13 = 1989
1989/9=221
x = 221
Factors of 3a^2+13a-10
How many times will 1/5 go into 37
Which unit rate is the lowest price per ounce? Choice A: 25 ounces of potato chips for $3.49 Choice B: 40 ounces of potato chips for $4.79 Choice A Choice B The unit rates are equal. The unit rates cannot be determine
Answer:
B is the lowest price per ounce
Step-by-step explanation:
choice A is 14 cents per ounce, and choice B is 12 cents per ounce.
What's equivalent to 3(8+7) 24+7 24+21 Please help
To find 19+(11+37) Lennie added 19 and 11. Then he added 37 to the sun.what property did he use
What is X/60=700 ?
Plz help it's due tomorrow
When is factoring by grouping easier to use. How many terms must you have to have ?
Does anybody know??? :/ ;c
The area of a rectangle rug is (3x + 9) square units.Factor (3x + 39) to find possible dimension of the rug.?
Would be the (3x+39) factored out
3(x+13)
The possible dimension of the rug will be 3 and (x + 3).
What is expansion?
Expanded form is the term used in mathematics to refer to the process of expanding a number to convey the value of every digit and place value.
In mathematics, every real-world issue may be transformed into an equation, sometimes in the form of a factor, which must then be expanded to get a solution.
If you solve a factor by opening the bracket then you will go to get on some expanded term called expansion.
Area of rectangle = length × width
Given,
Area of rectangle rug = (3x + 9)
So,
length × width = (3x + 9)
length × width = 3(x + 3)
So out of 3 and (x + 3), one would be the length and one would be the width.
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Ryan is looking for the sum of the cube of a number, n, and 16.
What is the sum Ryan is looking for if n = 2?
if angle ABC measured 90, what is the measure of arc AC
The measure of arc arc [tex]AC[/tex] will be [tex]90^0[/tex] .
What is arc ?Arc is the part or segment of the circumference of a circle which is drawn between two points and an angle. And length of arc is known as arc length.
i.e. Arc length [tex](L)=\frac{\theta}{r}[/tex]
And "The measure of an arc is equal to the measure of the central angle that intercepts it".
We have,
[tex]\theta = 90^0[/tex]
So,
From the above mentioned statement i.e.,
"The measure of an arc is equal to the measure of the central angle that intercepts it".
We can say that,
The measure of arc [tex]AC=90^0[/tex]
Hence, we can say that the measure of arc arc [tex]AC[/tex] is [tex]90^0[/tex].
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classify the following triangle check all that apply ?APEX
There are four muffins on each plate there are zero plates of lemon muffins how many lemon muffins are there
Which of the following coordinates of point C would make triangle ABC similar to triangle LMP ? Look at pic attached :) thank you .
Find two positive fractions with a quotient of 5/6
PRE-ALGEBRA HELP PLEASE!
PART A) the initial value of the function is 150 at 0 weeks, that means that there are still 150 songs to be downloaded at the beginning.
The rate of change is -30 songs each week, that is because the amount of songs left to be downloaded decrease by 30 each week.
PART B:
lets use 2 points of the graph p1(0, 150), p2(1, 120)
calculate the slope:
m = (y2- y1)/(x2 - x1) = (120 - 150)/(1 - 0)
m = -30
and now use line equation in form point-slope:
y - y1 = m(x - x1)
y - 150 = -30(x - 0)
y = -30x + 150
The slope is -30/1 or -30
The equation is y = -30x + 150
angelina is working with function machines. She has the two machines shown at right. She wants to put them in order so that the output of the first machine becomes the input of the second. She wants to use a beginning input of 6. In what order must she put the machines to get a final output of 5?
Given the exponential function A(x) = P(1 + r)x, what value for r will make the function a growth function?
Answer:
The function is a growth function when [tex]r>0[/tex].
Step-by-step explanation:
We are given,
The exponential function is [tex]A(x)=P(1+r)^x[/tex], where P= initial value and r= rate of change.
Now, we know,
1. The function is an exponential growth if their is positive rate of change.
2. The function is an exponential decay if their is negative rate of change.
Since, it is required to make the function a growth function.
We need the positive rate of change for the function A(x),
That is, [tex]r>0[/tex]
Hence, the function is a growth function when [tex]r>0[/tex].
William has 8 1/4 cups of fruit juice. If he divides the juice into 3/4 cup servings, how many servings will he have?
8 1/4 = 33/4
33/4 / 3/4 =
33/4 * 4/3 = 132/12
132/12 = 11
he will have 11 servings
Answer: 11 servings
Step-by-step explanation:
To get the number of servings, all we need to do is divide 8 1/4 by 3/4
converting 8 1/4 to improper fraction will yield 33/4
8 1/4 ÷ 3/4
=33/4 ÷ 3/4
= 33/4 ÷ 4/3
The 4 at the numerator will cancel the 4 at the denominator. we will be left with;
=33/3 =11
Therefore, there will be 11 servings.
David and Amanda are trying to figure out how long they can live off their $12,350 savings if they spend $240 each month. They have each created an equation.
David's Equation Amanda's Equation
y = 12,350 - (240x) y = 12,350 + (240x)
Which person has the correct equation to model this linear relationship? (4 points)
a) Amanda's equation is correct, because their spending will be multiplied by the number of months and then added to their savings.
b) Amanda's equation is incorrect, because their spending will increase the amount of their savings.
c) David's equation is correct, because their spending will be multiplied by the number of months and then subtracted from their savings.
d) David's equation is incorrect, because their spending should be a fixed amount and should not be multiplied.
During an epidemic, the number of people who have never had the disease and who are not immune (they are susceptible) decreases exponentially according to the function f(x) = 15000e-^(0.05t) , where t is time in days. Find the number of susceptible people at each time below.
At the beginning of the epidemic
After 14 days
After 21 days
After 5 weeks
Solving this problem is just pretty straight forward. All we simply have to do is to plug in the value of t (in days) in the function, solve then we get the number of susceptible people.
A. At the beginning of the epidemic
t = 0
f(x) = 15000 e-^(0.05 * 0)
f(x) = 15000
B. After 14 days
t= 14
f(x) = 15000 e-^(0.05 * 14)
f(x) = 7,448.78 = 7,449
C. After 21 days
t = 21
f(x) = 15000 e-^(0.05 * 21)
f(x) = 5,249
D. After 5 weeks
t = 5 * 7 = 35
f(x) = 15000 e-^(0.05 * 35)
f(x) = 2,606.61 = 2607
To find the number of susceptible people during an epidemic at various time intervals, we apply the given exponential function for t=0, 14, 21, and 35 days. This yields 15,000 susceptible individuals at the start, approximately 7439 after 14 days, about 5141 after 21 days, and around 2430 after 5 weeks.
The student asks about the number of susceptible people during an epidemic at various points in time, given by the function f(t) = 15000e-0.05t, where t is time in days. To find the number of susceptible people, we substitute the given times into the function:
At the beginning of the epidemic (t=0): f(0) = 15000e0 = 15000.After 14 days (t=14): f(14) = 15000e-0.05*14 = 15000e-0.7 extapprox 7439.After 21 days (t=21): f(21) = 15000e-0.05*21 = 15000e-1.05 extapprox 5141.After 5 weeks (35 days, t=35): f(35) = 15000e-0.05*35 = 15000e-1.75 extapprox 2430.This exponential function represents the number of people who remain susceptible as the epidemic progresses, assuming no one gains immunity other than through infection (no vaccination, and disease-induced immunity only).
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Which of the following sets shows all the numbers from the set {3, 4, 5, 6} that are part of the solution to the equation 5x + 4 < 29?
Steve earned 60 dollars and spent 2/3 of it. How much did he spend?
60* 2/3 = 60/1 x 2/3 =120/3
120/3 = 40
he spent $40
What is the surface area of the right cone with a radius of 8 and height of 15?
A. 184 pi units^2
B. 304 pi units^2
C. 248 pi units^2
D. 496 pi units^2
The surface area of the right cone with a radius of 8 and slant height of 15 is,
SA = 184π units³
What is Multiplication?To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.
Given that;
Radius of cone = 8
Slant height = 15
Since, The surface area of the right cone is,
SA = πr (r + l)
where,
r is the radius of the cone
l is the slant height of the cone.
Hence, We get;
SA = π × 8 (8 + 15)
SA = π × 184
SA = 184π units³
Thus, The surface area of the right cone with a radius of 8 and slant height of 15 is,
SA = 184π units³
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