Answers
The evaluation of the expression (-3)² is incorrect the correct answer will be (-3)²=+9.
What is an expression?Expression in maths is defined as the collection of the numbers variables and functions by using the signs like addition,substraction, multiplication and division.
Here we have an expression in the question:-
= (-3)² = (-3 x -3 ) = 9
So the answer of the question will be 9 because the multiplication of the two negative sign is always positive.
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Related Questions
Is the sequence arithmetic? If so, identify the common difference.
11, 15, 19, 23, ...
Answers
Answer:
Yes, the common difference is 4
Step-by-step explanation:
In an arithmetic sequence, you are either adding or subtracting the same number. In this case, you are adding 4 each time. 11+4=15 15+4=19 19+4=23
A rectangular garden 50 m long by 34 m wide is surrounded by a sand path of uniform width. Calculate the width of this path if it is known that it has an area of 540 cm2.
Answers
Considering a width x of the sand path, we have a larger rectangle of dimensions 50+2x by 34+2x, as indicated in the figure. Now, the area of the sand path is expressed.
[tex]\boldsymbol{\sf{ (50+2x)(34+2x)-50\times 34=540\Longrightarrow\quad 0=4x^2+168x-540 }}[/tex]
[tex]\boldsymbol{\sf{ 0=4(x^2+42x-135)=4(x-3)(x+45) }}[/tex]
Therefore, the path is 3 m long.
which functions have a maximum and are transformed to the left and down of the parent function, f(x)=x²? check all that apply
p(x)=14(x+7)²+1
q(x)=-5(x+10)²-1
s(x)=-(x-1)²+0.5
g(x)=2x²+10x-35
t(x)=-2x²-4x-3
Answers
Answer:
q(x) and t(x)
Step-by-step explanation:
p(x) has no maximum (bc it's an upward parabola) and is shifted up from the parent equation
q(x) has a maximum (downward parabola) and is shifted left and down from the parent equation
s(x) has a maximum (downward parabola), but is shifted right and up of the parent equation
g(x) has no maximum (upward parabola) but is shifted left and down
t(x)has a maximum (downward parabola) and is shifted left and down from the parent equation
See the attached image for details :) hope this helps!
The diameter of a circle is 14 kilometers. What is the circle's area? d=14 km Use 3.14 for . square kilometers
Answers
Answer:
153.86
Step-by-step explanation:
The equation for the area of a circle is A = πr^2. The "r", in this sense, is the radius, which is half of the diameter. If the diameter is 14 then the radius is 7. The radius will then be squared to create 49, as 7 multiplied by itself is 49. The number must then be multiplied by π, or in this case, 3.14. This will give you the answer of 153.86.
if there are 95 students in a school and there are 12 classes how many students are in each class
Answers
Answer:
11 classes will have 8 students, 1 class will have 7 students
Step-by-step explanation:
Take the total number of students and divide by the number of classes
95 / 12 =7.916666
Most classes will have 8 students, 1 class will have 7 students
10. In a library, Jolly deaned and arranged 4599 books on the shelf. Gopal arranged 1945 less books than Jolly. How many books were arranged in all by Gopal?
Answers
Answer: 2654
Step-by-step explanation:
you take jolly's number 4599 and subtract Gopal's number of 1945
I need help please asap ! Quick answer
Answers
Answer:
I think that is the fist one.
Show all work necessary to solve each problem.
1. Solve the following equation step by step. Write a reason for each step-
2(x-18)+ 3x = 24
Answers
Answer:
x = 12
Step-by-step explanation:
2(x-18)+ 3x = 24
distribute the 2
2x - 36 + 3x = 24
combine like terms
5x - 36 = 24
+ 36 on both sides
5x = 60
divide by 5
x = 12
A cylinder has a radius of 4.5 inches and a height of 15 inches. If the radius is doubled, how would it affect the original volume of the cylinder?
Answers
Answer:
The volume will be increased 4 times.
Step-by-step explanation:
Short mathy expl:
If the radius is "doubled" that is 2 times bigger. But in the volume formula, the radius is squared. So 2 times bigger AND squared makes it FOUR times bigger.
See the volume calculations:
original--
Vol = pi•r^2•h
= (3.14)•4.5^2•15
= 953.775
new/bigger radius--
Vol = 3.14•9^2•15
= 3815.1
So when the radius is doubled, going from 4.5 to 9, the volume goes from 953.775 to 3815.1
3815.1 is 4 times 953.775
a
a
1) Jimmy invests $8,540 in a retirement
account with a fixed annual interest rate of
6.03% compounded continuously. What
will the account balance be after 14 years?
A) $16,422.64 B) $19,865.03
C) $18,522.03 D) $17,525.57
Answers
Answer:
B) $19,865.03
Step-by-step explanation:
Continuous Compounding Formula
[tex]\large \text{$ \sf A=Pe^{rt} $}[/tex]
where:
A = Final amountP = Principal amountr = annual interest rate (in decimal form)t = time (in years)Given:
P = $8,540r = 6.03% = 0.0603t = 14 yearsSubstituting given values into the formula and solving for A:
[tex]\large \implies \text{$ \sf 8540e^{0.0603 \times 14}=19865.03215 $}[/tex]
Could someone please answer and explain the following question?
Answers
Answer:
see explanation
Step-by-step explanation:
the error in the question is that
sec²x = [tex]\frac{1}{cos^2x}[/tex] ≠ [tex]\frac{1}{sin^2x}[/tex] , and
csc²x = [tex]\frac{1}{sin^2x}[/tex] ≠ [tex]\frac{1}{cos^2x}[/tex]
have been used incorrectly in simplifying the expression
then
[tex]\frac{tan^2x+1}{1+cot^2x}[/tex]
= [tex]\frac{sec^2x}{csc^2x}[/tex]
= [tex]\frac{\frac{1}{cos^2x} }{\frac{1}{sin^2x} }[/tex]
= [tex]\frac{1}{cos^2x}[/tex] × [tex]\frac{sin^2x}{1}[/tex]
= [tex]\frac{sin^2x}{cos^2x}[/tex]
= tan²x
I need help, please and thank you!
Answers
Answer:
6,251
Step-by-step explanation:
First you have to multiply 65 by 7 you will get 455
Then you have to multiply 144.9 by 40 you will get 5,796
At last add the two values:
5,796+455=6,251
Please help! Also please explain how you got any of the answers!
Part A: Abe rented a bike at $36 for 5 days. If he rents the same bike for 8 days, he has to pay a total rent of $48.
Write an equation in the standard form to represent the total rent (y) that Abe has to pay for renting the bike for x days. (4 points)
Part B: Write the equation obtained in Part A using function notation. (2 points)
Part C: Describe the steps to graph the equation obtained above on the coordinate axes. Mention the labels on the axes and the intervals. (4 points)
(10 points)
Answers
Answer:
hey dude try doing them first then ask people thry are easy also open your book and see the steps there
can someone help i is confused
Answers
Answer:
The answer is c (the one outlined in blue)
Step-by-step explanation:
1. Angelo is wrong. Just start with the 1st one. 1+1.25 DOES NOT EQUAL 1.25
2. Try all the other ones, they don't work.
3. 1*1.25=1.25 (it works!) 2*1.25=2.50 (it works!) 3*1.25=3.75 (it works!)
Which relation is also a function?
A. ((10, 5), (5, 10), (15, 5), (20, 25),
(25, 15))
B. ((10, 5), (5, 10), (15, 10), (20, 25),
(20, 15))
C. x 5 10 20 10 25
y 10 5
15 15 20
5
2
D.
3
7
B
Answers
Answer:
A
Step-by-step explanation:
A because the vertical line test passes if you graph all the points.
help me solve this problem please
Answers
hope this helps :D
Can someone help please!!
Answers
30 is next to 90, 90 goes reflection is 90
Convert the fraction below into a decimal using
long division. Round any repeating decimals to
the thousandths.
13/15
Answers
Answer:
0.86666666666667
Step-by-step explanation:
What we have to do is do 13 divided by 15 which equals 0.86666666666667.
Please help! 25 points
Answers
Answer:
C.
Step-by-step explanation:
I need help. I'm desperate. Find the area of the shaded region, round to the nearest tenth. I will give brainliest
the answer is NOT 17.4
Answers
ANSWER
A. (243pi+162) ft^2
EXPLANATION
The area of the shaded region is the sum of the area of the major sector and the area of the isosceles triangle.
Area of major sector
[tex]=\frac{360-90}{360}[/tex] × [tex]\pi[/tex] × [tex]18^2[/tex][tex]=243\pi ft^2[/tex]
The area of the isosceles triangle is calculated using the formula;
[tex]=\frac{1}{2}r^2sin(0)[/tex]
[tex]=\frac{1}{2}[/tex] × [tex]18^2[/tex] [tex]sin(90)[/tex][tex]=162ft^2[/tex]
The area of the shaded region
[tex]=(243\pi +162)ft^2[/tex]
The correct answer is A.
Math question 10 points
Answers
Answer: (a)
Step-by-step explanation:
the last step is
clear x
X=15.9/6.36
the answer is 5/2 or 2.50
if 39 is 5% of a number, what is that number? How did you get your answer?
Answers
Answer:
780
Step-by-step explanation:
☞ To find the solution, divide 39 by 5% and multiply by 10
P = 39 * 5%(0.5) = 78
P = 78 * 10 = 780
The expression "-280" + 18 represents a submarine that began at a depth of feet below sea level and ascended at a rate of 18 feet per minute. What was the depth of the submarine after 5 minutes?
Answers
Answer answer please please
Answers
Answer:
The answer is B) <
Step-by-step explanation:
Just looking at the Base 10 to the power of -5. we can just ignore it since they both have the base.
Now compare 3.2 with 4.6 which one is greater than or less than or equal to.
3.2 < 4.6
Answer: the answer is b . The second choice is correct .
Step-by-step explanation:
the second one is bigger than the fist one . Hopeit helps you .Please give brainliest .thanks .
Find the area of a circle with radius, r = 76cm.
Give your answer rounded to 3 SF.
Answers
Answer:
17,700.00
Step-by-step explanation:
Area of a circle = 22
------ r2
7
=22
------ 76x76 =123,750
7 ---------- =1,768.571
7
1,768.571 rounded to 3 SF=17700.00
can someone help me with this? Thank you!
Answers
[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]
Let's solve ~
[tex]\qquad \sf \dashrightarrow \: c = 2\pi r[/tex]
r = 4 cm[tex]\qquad \sf \dashrightarrow \: c = 2 \times 3.14 \times 4[/tex]
[tex]\qquad \sf \dashrightarrow \: c = 25.12 \: cm[/tex]
The circumference of the given circle.
Solution:[tex]c = 2 {\pi}r[/tex]
[tex]c = 2 \times 3.14 \times r[/tex]
[tex]c = 2 \times 3.14 \times 4[/tex]
[tex]c = 25.12 \: cm[/tex]
Hence, the circumference of the given circle is 25.12 centimeters.
plsss help and explain how to do it because im confused
Answers
I need help please answer
Answers
Answer:
It will be in quadrant one if it flips across the x-axis becuase the x-axis will take it toward the right which is the quadrant 1
Step-by-step explanation: hope this helps
Answer:
Quadrant III
Step-by-step explanation:
When you reflect across the X-axis, you flip it over the horizontal line. The Quadrants are numbered like this : 2 1
3 4
So it will be in Quadrant III
The volumes of two similar solids are 210 m3 and 1,680 m3. The surface area of the larger solid is 856 m2. What is the surface area of the smaller solid? 107 m2 214 m2 1034 m2 6848 m2.
Answers
The surface area of the smaller solid according to the task content is; 107m²
What is the surface area of the smaller solid?It follows from task content that the two solids are similar. On this note, the same formula applies for calculating their areas and volume.
Since, surface area is directly proportional to the volume in both shapes;
The surface area of the smaller solid is;
A = (210 × 856)/1680
A = 107m².
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Answer:
A
Step-by-step explanation:
Tanvi opened a savings account and deposited $400.00 as principal. the account earns 13%
interest, compounded annually. what is the balance after 7 years?
p(1+)",
use the formula a = p 1 + where a is the balance (final amount), p is the principal
(starting amount), r is the interest rate expressed
as a decimal, n is the number of times per
year that the interest is compounded, and t is the time in years.
round your answer to the nearest cent.
Answers
The amount of the money after 7 years with a rate of 13% with an initial amount of $400 will be $ 941.04.
What is compound interest?Compound interest is the interest on a loan or deposit calculated based on the initial principal and the accumulated interest from the previous period.
Tanvi opened a savings account and deposited $400.00 as principal.
The account earns 13% interest, compounded annually.
Then the balance after 7 years will be
We know the compound interest formula.
A = P (1 + r)ⁿ
We have
P = $ 400
r = 13%
n = 7 years
Then we have
A = 400 x (1 + 0.13)⁷
A = 400 x 1.13⁷
A = 400 x 2.3526
A = $ 941.04
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