Answer:
4
Step-by-step explanation:
120/30 = 4
Since a bus can hold 30 students, that means we need 4 busses to hold all 120 students.
Question 1
Is the expression x^3• x^3•x^3 equivalent to x^3•3•3 ? Why or why not? Explain your reasoning.
Answer:
No
Step-by-step explanation:
x^3• x^3•x^3
We add the exponents
x^(3+3+3) = x^9
x^3•3•3 x^3 *9
9x^3
These are not equal unless
x^9 = 9x^3
HIGH POINTS + BRAINLIEST!!!!
Each row shows the tax rate on a specific portion of the taxpayer's taxable income given their filing status. For example, suppose a taxpayer has a filing status of Single and a taxable income of $40,000. This means that the taxpayer owes 10% tax on the first $8,925, 15% tax on the amount over $8,925 up to $36,250, and 25% in the amount over $36,250 up to $ 40,000.
If Abdul and Maria had a filing status of Married Filing Jointly and together have a taxable income of $91,307 in the year 2013, how much did the couple owe for federal income tax?
Do not round any intermediate computations. Round your answer to the nearest dollar.
Answer:
Step-by-step explanation:
Taxable income = $ 91,307
Tax for $ 17,850 = 10% of 17850 = 0.1*17850 = $ 1785
Tax for $17,850 to $72,500 = 15% of (72,500-17850) = 0.15* 54650 = $ 8197.5
Tax $72,500 to $91,307 = 25% of (91307-72500)=0.25*18807= $ 4701.75
Total tax = 1785 + 8197.5 + 4701.75 = 14684.25
Total tax = $14684
please help! will give brainliest if the answer is correct:) need the answers in order to move on in the lesson!
Answer:
Just use a calculator and wite the square root value in it
Step-by-step explanation:
Atempt this method with all options at last u will have ur answer
Consider the expression
-4b + 8c + 12 - 8b - 2c + 6.
Part B
What is the value of the expression when b = 2 and c = -3?
Answer:
8
Step-by-step explanation:
-4(2)+8(-3)+12-8(2)-2(-3)+6=-8-24+12-16+6+6=8
Answer:
-24
Step-by-step explanation:
-4b + 8c + 12 - 8b - 2c + 6
Combine like terms
6c+18-12b
Let b=2 c=-3
6(-3) +18-12(2)
-18 +18 -24
-24
the perimeter The area of squre Plat is 100 m² Find at the plot o a
Answer:
perimeter=40m
Step-by-step explanation:
PERIMETER=(AREA ROOT)*4
=10*4=40m
What is the leading coefficient of the polynomial: 5-3x+4x^2
Answer:
4
Step-by-step explanation:
5-3x+4x^2
Write the terms from highest power to smallest power
4x^2 -3x +5
The leading coefficient is the term in front of the highest power
4
Answer:
4
Step-by-step explanation:
The first step here is to rearrange the terms of this polynomial in descending order: x^2, then x, then x^0 (nothing that x^0 = 1):
4x^2 - 3x + 5
The "leading coefficient of the polynomial) is the coefficient of the highest x power, which here is x^2: 4.
solve for x? They are vertical angles
Answer:
Step-by-step explanation:
6x - 11 = 3x + 13
3x = 24
x = 8
Sasha is twice as old as Kapila. If Kapila is x years old, find their total age.
Answer:
3x
Step-by-step explanation:
If Kapila's age =x.
Then Sasha's age would be =2x.
Their total age would be 3x.
Because 2x+x adds up to be 3x.
ASAP HELLP PLS, WILL GET BRAINLIEST FOR FIRST CORRECT ANSWER!!!
Diego says a quadrilateral with 4 congruent sides is always a regular polygon. Mai says it never is one.
Do you agree with either of them?
Answer:
A regular polygon all the angles, as well as all the sides, are equal.
Diego's claim is the quadrilateral with four congruent sides is always a regular polygon. He is only mentioning that the sides are equals.
He has not mentioned anything about the angles, the angles may or may not be equals.
In the case, if all the angles are equal too, then the claimed quadrilateral will be a regular polygon as shown in figure(a).
So, for this case, Diego's claim is correct while Mai's claim is also wrong.
While if all the angles are not equal, then the claimed quadrilateral will not be a regular polygon as shown in figure(b).
In this case, Diego's claim is wrong while Mai's claim is correct.
So, overall, considering both the case together, none of them have the correct claim.
So, both are wrong.
Step-by-step explanation:
PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER!!
Which of the following statements is correct about the data set 7, 10, 9, 100, 5, 12?
A. The data set has an outlier
B. The mean is the best and most accurate measure to describe this data set
C. The data set has two modes
D. The data set has a median of 10
Answer:
A. The data set has an outlier
Step-by-step explanation:
The data set has an outlier because 100 is the largest number of the set.
Answer:
option b
Step-by-step explanation:
Karl has 10 shirts. Four shirts are green and 1 is blue. What fraction of Karl’s shirts are green or blue?
Answer:
1/2 of his shirts are green or blue
Step-by-step explanation:
4+1 / 10 = 5 / 10 = 1 / 2
PLEASE HELP!! Find the slant height of the come
Mention any two effects of load shedding.
Answer:
loss of work and deficiency in progress
disturbance in schedule
Answer:
Shortage of gas
interruption in water supply for households that access piped water from the local municipality
Loss of profit for businesses
Step-by-step explanation:
PLEASEEE HELP !!! asap Find the surface area of the cone in terms of x.
54 cm2
49 cm
517 cm2
99cm2
Answer:
[tex]54\pi\ cm^2[/tex]
Step-by-step explanation:
1. Approach
In order to solve this problem, one needs to find the height of the cone. This can be done using the Pythagorean theorem. After finding the height of the cone, one can use the formula to find the surface area of a cone, to find the surface area of this particular cone.
2. Find the height of the cone
The Pythagorean theorem is a property that relates the sides of a right triangle. The radius (distance from the center to circumference (outer edge)) of the base, the height of the cone, and the slant of the cone forms a right triangle. Thus, one can use the Pythagorean theorem to solve for the height. The Pythagorean states the following:
[tex]a^2+b^2=c^2[/tex]
Please note that (a) and (b) represent the sides adjacent (next to) the right angle, (c) represents the hypotenuse (the side opposite the right angle). In this case (a) is the height, and (b) is the radius of the base. (c) is the diagonal of the cone. Substitute the given values in and solve for the height,
[tex]a^2+b^2=c^2[/tex]
[tex]a^2+3^3=15^2[/tex]
Simplify,
[tex]a^2+3^3=15^2[/tex]
[tex]a^2+9=225[/tex]
Inverse operations,
[tex]a^2+9=225[/tex]
[tex]a^2=216[/tex]
[tex]a=\sqrt{216}[/tex]
3. Find the surface area of the cone
The following formula can be used to find the surface area of a cone,
[tex]A_s=\pi r(r+\sqrt{h^2+r^2})[/tex]
Where (h) is the height of the cone, (r) is the radius of the base of the cone, and ([tex]\pi[/tex]) represents the value (3.1415...). Substitute the given values into the formula and solve for the surface area,
[tex]A_s=\pi r(r+\sqrt{h^2+r^2})[/tex]
[tex]A_s=\pi(3)(3}+\sqrt{\sqrt{216}^2+3^2}[/tex]
Simplify,
[tex]A_s=\pi(3)(3}+\sqrt{\sqrt{216}^2+3^2}[/tex]
[tex]A_s=\pi(3)(3}+\sqrt{216+9})[/tex]
[tex]A_s=\pi(3)(3}+\sqrt{225})[/tex]
[tex]A_s=\pi(3)(3}+15)[/tex]
[tex]A_s=\pi(3)(18)[/tex]
[tex]A_s=\pi(54)[/tex]
I'm under the water on this problem, please help me:
question: f(x)=10x−3
answer choices:
A. f(−5)
B. f(0)
C. f(7)
D. f(t^2+2)
E. f(12−x)
F. f(x+h)
Answer:
See below
Step-by-step explanation:
Okay so...I might be interpreting the question wrong-if I am please comment! I'll fix it to the best of my ability.
A) Plug in -5 to all x values
f(-5)=10(-5)-3
==50-3
f(-5)= -53
B) f(0)=10(0)-3
f(0)= -3
C) f(7)=10(7)-3
=70-3
f(7)=67
D) f(t^2+2)=10(t^2+2)-3
=10t^2+20-3
f(t^2+2)=10t^2+17
E) f(12-x)=10(12-x)-3
=120-10x-3
f(12-x)=117-10x
F) f(x+h)=10(x+h)-3
=10x+10h-3
Assume f(x) = 2x – 3 and g(x) = 5 - 2x. Find
оооо
A.5 - 2x
2х - 3
B.-8
5
C.3
5
D.2x – 3
5 - 2x
Answer: The chosen topic is not meant for use with this type of problem. Try the examples below.
x
=
2
,
y
=
1
x
=
9
,
y
=
10
x
=
9
,
y
=
4
Find the largest integer not greater than the following expression :
[tex]\displaystyle \large \boldsymbol{} \frac{2150}{2005} +\frac{2150}{2006} +\frac{2150}{2007 } + ...+\frac{2150}{2020}[/tex]
Answer:
17Step-by-step explanation:
The number of terms:
2020 - 2004 = 16Each term is greater than 1, so the expression is greater than 16:
2150/2005 = 1 + 145/20052150/2006 = 1 + 144/2006...2150/2020 = 1 + 130/2020It's easy to note each of the numbers getting smaller like 145/2005 > 144/2006 etc. Taking the smallest fraction.
The sum is:
S > 16 + 16*130/2020 = 16 + 2080/2020 > 16 + 1 = 17So the largest integer not greater than S is 17.
HELP! A semi circle of radius 6 is centered at the origin as shown. A rectangle has two of its vertices at (5,0) and (-5,0) and the other two vertices on the semi-circle. What is the exact area of the rectangle? What is the equation of the semi circle?
The Area of rectangle is "[tex]30 \ unit^2[/tex]" and the equation of the semi circle is "[tex]y = \sqrt{36-x^2}[/tex]".
According to the question,
The vertices of rectangle,
(5, 0) and (-5, 0)
Length,
l = 10 unit
Breadth,
b = 3 unit
Radius of semi circle,
r = 6
Centre of origin,
(0, 0)
As we know,
→ The Area of rectangle is:
= [tex]Length\times Breadth[/tex]
= [tex]10\times 3[/tex]
= [tex]30 \ unit^2[/tex]
and,
→ The Equation of semi circle is,
[tex]y = \sqrt{r^2-x^2}[/tex]
by substituting the values, we get
[tex]=\sqrt{(6)^2-x^2}[/tex]
[tex]= \sqrt{36-x^2}[/tex]
Thus the above is the correct answers.
Learn more about Area of rectangle here:
https://brainly.com/question/14383947
The solution of this equation has an error. Which of the following steps has an error?
Step 1: -2x + 8 - 3x = 7
Step2:–5x+8=7
Step3:-5x = 15
Step4:
x = -3
O Step 2
O Step 1
O Step 3
3rd step
Solution:-
[tex]\\ \sf\longmapsto -2x+8-3x=7[/tex]
[tex]\\ \sf\longmapsto -2x-3x+8=7[/tex]
[tex]\\ \sf\longmapsto -5x+8=7[/tex]
[tex]\\ \sf\longmapsto -5x=7-8[/tex]
[tex]\\ \sf\longmapsto -5x=-1[/tex]
[tex]\\ \sf\longmapsto x=\dfrac{-1}{-5}[/tex]
[tex]\\ \sf\longmapsto x=\dfrac{1}{5}[/tex]
Please help explanation if possible
Step-by-step explanation:
if we multiply gradient of the perpendicular line we are suppose to get -1the gradient of y=-x-2 is -1(gradient is the coefficient of x)therefore the gradient of other line is 1y =mx+c10=-5 +cc=15therefor the equation of the line is y=x+15If B is the midpoint of line AC, AC = CD, AB = 3x+4, AC=11x-17, and CE = 49, find DE. (Show work)
Answer:
2(3x+4) = 11x-17
6x+8 = 11x-17
25=-5x
x=-5
11x-17
55-17
38
AC = 38
CD = 38
49-38 = 11
DE = 11
Let me know if this helps!
what is 9.1042 in expanded form
Step-by-step explanation:
here's the answer to your question
pls anyone.. I need it
Step-by-step explanation:
here u have answer of your question dear
Help please URGRENTTTTT
The graph below shows a company’s profit f(x), in dollars, depending on the price of pens x in dollars sold by the company:
Part A: what do the x-intercepts and maximum value of the graph represent? What are the intervals where the function increasing and decreasing, and what do they represent about the dale and profit?
Part B: what is an approximate average rate of change of the graph from x=3 to x=5, and what does this rate represent?
Part C: describe the constraints of the domain
Answer:
Part AThe x-intercepts are reflecting zero-profit: (0, 0) and (6, 0).
The maximum value of the graph is at vertex (3, 120): maximum profit when the price is $3.
The function is increasing until the vertex, between x-value of 0 to 3 and is decreasing once it reached the vertex, between x-value of 3 to 6.
In the first interval the sale and profit increases, in the second interval the sale and profit decreases.
Part BAverage rate of change from x = 3 to x = 5 is:
(f(5) - f(3))/(5 - 3) = (60 - 120)/2 = -30This represents the profit drop of $30 per $1 price increase when price changes from $3 to $5.
Part CThe domain is representing the price. It should be profitable so it is between $0 and $6.lallenge
Isabel tried to evaluate an expression step by step.
(2+8) +8
=2 + (8 +8) Step 1
=2 +0
Step 2
Find isabel mistake
Answer:
8+8 =16 not 0
Step-by-step explanation:
First she used associative property of addition. After that 8 + 8 = 16
but she wrote 0
she added them wrong
What is the range of the function y = x² + 1?
Answer
[ 1 by 2, -1 by 2 ]
Step-by-step explanation:
https://haygot.s3.amazonaws.com/questions/1118559_1200733_ans_2ec06a240d2240e49dc1c9fda7b41ef5.jpeg
Answer:
range { 1, ∞ }
Step-by-step explanation:
y = x² + 1
is a parabola with its vertex at (0, 1)
The range is { 1, ∞ }
Please help!!!!!!!!!!!!!!!!
Answer:
TRUE
Step-by-step explanation:
The answer is TRUE.
What is the slope of the graph?
points are
(0,3)(1,0)[tex]\boxed{\sf Slope(m)=\dfrac{y_2-y_1}{x_2-x_1}}[/tex]
[tex]\\ \sf\longmapsto m=\dfrac{0-3}{1-0}[/tex]
[tex]\\ \sf\longmapsto m=\dfrac{-3}{1}[/tex]
[tex]\\ \sf\longmapsto m=-3[/tex]
How do you simplify 3 times the square root 13?
Answer:
3√13
Step-by-step explanation:
3√13
This expression cannot be simplified because you cannot take any common factor outside the root.
HELP PLZ I GIVE YOU BRAINLIEST IF YOU GET CORRECT PLZ I BEG YOU
in a 2-digit number, the tens digit is 5 less than the units digit. if you reverse the number, the result is 7 greater than the double the original number. find the original number
Answer:
Original number = 38
Step-by-step explanation:
10*x + y
x = y - 5
10y + x = 2 (10x + y) + 7
10y + y - 5 = 2(10(y - 5) + y) + 7
11y - 5 = 2(10y - 50 + y ) + 7
11y - 5 = 2(11y - 50) + 7
11y - 5 = 22y - 100 + 7
11y - 5 = 22y - 93
11y + 88 = 22y
88 = 11y
y = 8
x = y - 5
x = 8 - 5
x = 3
So the original number is 38. Does that work?
3 is 5 less than 8.
83 = 2*38 + 7
83 = 76 + 7
83 = 83. Yes it works.
