Answer:
The inequality is [tex]5.5n \leq 45[/tex]
Step-by-step explanation:
Total time:
The total time to complete the test is the sum of the number of multiple-choice questions multiplied by the time it takes to solve each and the number of short-answer questions multiply by the time it takes to solve each.
In this question:
Same number(n) of both.
Multiple-choice takes 2 minutes, short-answer takes 3.5 minutes. The total time is given by:
[tex]T = 2n + 3.5n = 5.5n[/tex]
Write an inequality to determine how many questions, n, the teacher can include if the test must take students less than 45 minutes to complete.?
This means that:
[tex]T \leq 45[/tex]
So
[tex]5.5n \leq 45[/tex]
The inequality is [tex]5.5n \leq 45[/tex]
How is finding the volume of prisms a bit like slicing a loaf of bread?
Answer:
To find the volume of a rectangular prism, multiply its 3 dimensions: length x width x height. The volume is expressed in cubic units.
Identify the domain of the function shown in the graph.
10-
8
8
4
2
-8-8-4
-2
-2-
2
4
8
8
10 12
4
-B
-8
-10
Answer:
domain means x- component I hope you you can identify the domain
f(n)=2n+1
g(n)=3n
Find f(n)+g(n)
Answer:
5n + 1
Step-by-step explanation:
f(n) + g(n) is just 2n + 1 + 3n , adding the two functions together!
Those expressions combine to 5n + 1 :)
7,16,30,49,73,?
find next number in series
Let A be the first sequence, and denote by [tex]a_n[/tex] the n-th term in A.
Consider the forward differences of A :
16 - 7 = 9
30 - 16 = 14
49 - 30 = 19
73 - 49 = 24
Call this sequence of first differences B, so that for n ≥ 1,
[tex]b_n=a_{n+1}-a_n[/tex]
where [tex]b_n[/tex] is the n-th term of B.
Now consider the forward differences of B, which is another sequence we'll call C :
14 - 9 = 5
19 - 14 = 5
24 - 19 = 5
Then if [tex]c_n[/tex] is the n-th term of C, we have for all n ≥ 1,
[tex]c_n=b_{n+1}-b_n=5[/tex]
which gives
[tex]b_{n+1} = b_n+5[/tex]
This tells us B is an arithmetic sequence - the first term is 9 and the difference between consecutive terms is 5, so we have for n ≥ 1,
[tex]b_n = 9 + 5(n-1) = 5n + 4[/tex]
Plug this into the recurrence for A :
[tex]a_{n+1} = a_n + b_n = a_n + 5n + 4[/tex]
We don't need to solve for [tex]a_n[/tex], fortunately; we just want the next term, which would be
[tex]a_6 = a_5 + 5^2 + 4 = 73 + 25 + 4 = \boxed{102}[/tex]
PLSSS HELP PANICKING
The sum of Alex and John's money is $48. Alex has $3 more than twice the amount John has. How much money do they each have?
Answer:
John has $15 and Alex has $33Step-by-step explanation:
a systems of equations can be made from the information on the problem
x+y=48
x=2y+3
since x= 2y+3 substitute 2y+3 in the firat equation to get:
(2y+3)+y=48 -> 3y+3=48 -> 3y=45 -> y=15
plug in 15 for y in the second equation to solve for x
x+15 =48 --> x=33
do it and I give 100 points
a^2 is correct
my past answer was incorrect but this 100 percent is correct
i need to slove −7x ^2 +x+9=−6x
Answer:
1. if you are solving using the quadratic formula. the answer is in the first picture.
2. if you are looking to completing the square the answer is in the second picture.
Step-by-step explanation:
Pls help pls help plssssss
Answer:
3^12
when we see a number above a number in roots we Multiply
then we will find 3¹⁰/3-² in devide we Take number so its 10-(-2)=12
hopefully its helpful
Answer:
3^12 hope this helped :)
Step-by-step explanation:
(3^5)^2 = 3^10
3^10 ÷ 3^-2
10--2=12
3^12
What are the roots of this quadratic equation?
3x^2 + 10=4x
Find the missing lengths.
Answer:
that angle is 45°
so y = 5√3
and × = √2×y
x= √2 × 5√3
x=5√6
What is the product of the polynomials below?
(6 - 5x^2)(x4-x^3)
Answer:
-5x^6+5x^5+6x^4-6x^3Step-by-step explanation:
[tex]\left(6-5x^2\right)\left(x^4-x^3\right)\\\\\mathrm{Apply\:FOIL\:method}:\\\quad \left(a+b\right)\left(c+d\right)=ac+ad+bc+bd\\\\a=6,\:b=-5x^2,\:c=x^4,\:d=-x^3\\\\=6x^4+6\left(-x^3\right)+\left(-5x^2\right)x^4+\left(-5x^2\right)\left(-x^3\right)\\\\\mathrm{Apply\:minus-plus\:rules}\\+\left(-a\right)=-a,\:\:\left(-a\right)\left(-b\right)=ab\\\\=6x^4-6x^3-5x^4x^2+5x^3x^2\\\\Simplify\\\\=-5x^6+5x^5+6x^4-6x^3[/tex]
A teaspoon of salt has a mass of 6 grams what is its mass in milligrams
Answer:
6000 milligrams
Step-by-step explanation:
trust
Please look at the image
Answer:
the pic is block
Step-by-step explanation:
Answer:
Jack's age =a
Matt's age= 2a+6
a+2a+6 =90
3a +6. =90
3a= 90-6
3a=84
a=28
Plsss help. giving extra points if correct.
Answer:
B. ACB AND ACD
Step-by-step explanation:
since you need to prove, you need to show that the figure can work on any 2 triangles… hope it helps.
Not sure if these are right plz help will give brainliest
Answer:
they all seem right to me g!
Step-by-step explanation:
Candice and Joe went to Sawcon, the concert tickets for the concert Sawcon was 50 dollars each person. Plus tax they add 2.5 dollars. Since they have a discount they minus 10.5. How much are the tickets now?
Answer:
they would be $42.00
Step-by-step explanation:
50 + 2.50= 52.50
52.50-10.50=42.00
Solve for x when sin(4x)=1/2
the most simple answere please
Answer:
x=7.5
Step-by-step explanation:
To cancel out the sin function we need to mulitplly it by sin⁻¹ (you can usually access this button if you press 2nd-->sin)
so sin⁻¹(.5)=30
30=4x
x=7.5
Need help on the picture i attached
Answer:
1.) Standard form -
2.) Center (1,-3)
3.) Radius r=4
4.) Diameter d=8
5.) Circumference 25.12
6.) Area 50.24
7.) Graph
Step-by-step explanation:
Budgeting and you MI-Economics assignment question. Now, summarize what you have learned. Write a paragraph that explains the most important principles to keep in mind when creating a budget. Describe at least three important principles in your answer.
Answer:
It all starts by setting clear goals. You need to know what you want to accomplish in the short term and the long term. Then, you can examine your goals to find your needs and wants. You can accomplish these needs and wants by categorizing your expenses into fixed and variable categories. By keeping all of these principles in mind, you will be able to balance your budget. This will allow you to save money while also spending enough to meet your goals.
Step-by-step explanation:
Answer:
Sample Response: It all starts by setting clear goals. You need to know what you want to accomplish in the short term and the long term. Then, you can examine your goals to find your needs and wants. You can accomplish these needs and wants by categorizing your expenses into fixed and variable categories. By keeping all of these principles in mind, you will be able to balance your budget. This will allow you to save money while also spending enough to meet your goals.
Step-by-step explanation:
edg 2022
PLEASE HELP ILL GIVE BRAINLIEST
Answer:
1 and 2 is The first one and 3 and 5 is the second one
finding arc ABC if lines ab, bc, and ac are equal.
Answer:
60
Step-by-step explanation:
If all lines are equal, all angles will also be the same in this equilateral triangle.
Therefore, divide 180/3 to get Angle ABC
please help brainliest
Answer:
area = 186.984
Step-by-step explanation:
The 3 rectangular surfaces are simply L * W of each so
left surface = 5.5 * 6.2 = 34.1
right surface = 5.5 * 8.5 = 46.75
bottom surface = 5.5 * 9.8 = 53.9
The front and back are the same so
front = 1/2 base * heigth = 1/2 * 9.8 * 5.33 = 26.117
front + back = 2 * 26.117 = 52.234
total = sum them all up = 34.1 + 46.75 + 53.9 + 52.234 = 186.984
5th grade math. correct answer will be marked brainliest
Answer:
5280
Step-by-step explanation:
Hope this helps!
If the graph of f(x)=3^x is reflected over the x-axls, what is the equation of the new graph?
Answer:
Option B
Step-by-step explanation:
By the property of reflection,
If a function [tex]'f'[/tex] is reflected across [tex]x[/tex]-axis, new function [tex]'g'[/tex] will be defined by,
[tex]g(x)=-f(x)[/tex]
Therefore, equation of the function will be,
[tex]g(x)=-(3)^x[/tex]
Option B will be the correct option.
The rectangle below has an area of zº +82 + 15 square meters and a width of 2 + 3 meters.
What expression represents the length of the rectangle?
Length
2 +3
2° +8x + 15
Length
meters
Answer:
(x+5) metres
Step-by-step explanation:
correct question
The rectangle below has an area of x^2+8x+15 square meters and a width of x+3 meters. What expression represents the length of the rectangle?
Area of the rectangle = Length * width
Factorize the area
A(x) = x^2+8x+15
A(x) = x^2+3x+5x+15
A(x) = x(x+3) + 5(x+3)
A(x) = (x+3)(x+5)
Since the width is x+3, the length of the rectangle will be (x+5) metres
Brad is cutting logs. He has 4 logs. Brad will cut each log by 12
If Brad cuts each log by 12 he will have 48 pieces of cut logs. I hope this helps you, have a great day!
Answer:
48
Step-by-step explanation:
4x12=48
Howto solve for x in X+10=30
Answer:
20
Step-by-step explanation:
x+10=30
x=30-10
x=20
HOPE IT HELPEDStep-by-step explanation:
=>x+10=30=>x+10-10=30-10 ten(+10) will be cancelled by negative ten(-10)=>x=20check
20+10=30
whats 2+2 UnU thats a hard one ToT
Answer:
4
MARK ME BRAINLIEST CUZ IM DA SMARTEST :))
the answer to that is 4
I need help on number 10 plz
Answer:
12 inches
Step-by-step explanation:
3 feet = 1 yard
1/3 yard = 1 foot
1 foot = 12 inches
What are the zeros for y = x squared - 4
Answer:
zeros are ±2
Step-by-step explanation:
y = x² - 4
this can be factored into (x+2)(x-2)
if you then set each factor equal to zero you will get zeros of ±2