Answer:
32
Step-by-step explanation:
Plug in the corresponding numbers to the corresponding variables. Note that:
A = 4
B = 16
A² + B
(4)² + 16
Remember to follow PEMDAS. PEMDAS is the order of operation, and stands for:
Parenthesis
Exponents (& roots)
Multiplication
Division
Addition
Subtraction
~
First, solve the power:
(4)² = 4 * 4 = 16
Next, add:
16 + 16 = 32
32 is your answer.
~
Gavin plans to repaint some classroom bookcases. He has 3 gallons of paint. All of
the bookcases are the same size and each requires gallon of paint. How many
bookcases will he be able to paint?
3/4
Answer:
3 bookcases
Step-by-step explanation:
Any help would be appreciated. Thank you
(X8.6.PS-12
Question Help
A circular flower bed is 20 m in diameter and has a circular sidewalk around it that is 2 m wide.
Find the area of the sidewalk in square meters. Use 3.14 for it.
The area of the sidewalk is m2.
(Round to the nearest whole number as needed.)
Enter your answer in the answer box and then click Check Answer.
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Answer:
area = 138 m²
Step-by-step explanation:
radius of large circle = 12 m
radius of small circle = 10 m
large circle area = πr² = (3.14)(12²) = 452.16 m²
small circle area = πr² = (3.14)(10²) =314 m²
452.16 - 314 = 138.16 m²
The prism below is made of cubes that measure 1/2 of an inch on one side. What is the volume?
Answer:
the answer is C. 5 cubic in
Step-by-step explanation:
V = LWH
length is 2 (1/2 in)
width is 5 (1/2 in)
height is 4 (1/2 in)
V = (2/2) (5/2) (2)
V = 1 * 5/2 * 2
V = 5 cubic in
Suppose that a committee is studying whether there is waste of time in our judicial system. It is interested in the mean amount of time individuals waste at the courthouse waiting to be called for jury duty. The committee randomly surveyed 81 people who recently served as jurors. The sample mean wait time was eight hours with a sample standard deviation of four hours. Construct a 95% confidence interval for the population mean time wasted. Which distribution should you use for this problem
Answer:
The t-distribution is used, as we have the standard deviation of the sample.
The 95% confidence interval for the population mean time wasted is between 7.12 hours and 8.88 hours.
Step-by-step explanation:
We have the standard deviation for the sample, which meas that the t-distribution should be used to solve this question.
The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So
df = 81 - 1 = 80
95% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 80 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.95}{2} = 0.975[/tex]. So we have T = 1.99
The margin of error is:
[tex]M = T\frac{s}{\sqrt{n}} = 1.99\frac{4}{\sqrt{81}} = 0.88[/tex]
In which s is the standard deviation of the sample and n is the size of the sample.
The lower end of the interval is the sample mean subtracted by M. So it is 8 - 0.88 = 7.12 hours.
The upper end of the interval is the sample mean added to M. So it is 8 + 0.88 = 8.88 hours.
The 95% confidence interval for the population mean time wasted is between 7.12 hours and 8.88 hours.
Assignment 1
Mathematics
Question 1
1.1.
Write down the factors of 30.
Answer:
1,2,3,5,6,10,15,30
Step-by-step explanation:
1*30
2*15
3*10
5*6
The graphs below have the same shape. What is the equation of the graph of g(x)? A. g(x) = x^2 + 4
B. g(x) = x^2- 4
C. g(x) = (x - 4)^2
D. g(x) = (x + 4)^2
The given graph of g(x) is translated 4 units to left, so the function is g(x)=(x+4)². Therefore, option D is the correct answer.
What is the parabola?A parabola refers to an equation of a curve, such that a point on the curve is equidistant from a fixed point, and a fixed line. The fixed point is called the focus of the parabola, and the fixed line is called the directrix of the parabola.
From the graph, f(x)=x².
Graph the parabola using the direction, vertex, focus, and axis of symmetry.
Direction: Opens Up
Vertex: (0,0)
Focus: (0,1/4)
Axis of Symmetry: x=0
Directrix: y= -1/4
In the graph we can graph of g(x) is translated 4 units to left, so the function is g(x)=(x+4)²
Therefore, option D is the correct answer.
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Need Help ASAP
Thanks so much in advance...
Answer:
I will post 4,5 and 6 separately.
what is the slope of the line
Answer:
3/2
Step-by-step explanation:
Noah has $5.
1.
a.
Elena has 40% as much as Noah. How much does Elena have?
b.
Compare Elena's and Noah's money using fractions. Draw a diagram to
illustrate.
Answer:
a. $4
b. Noah has 5/5. Elena has 4/5.
Step-by-step explanation:
Noah has $5.
a.
Elena has 80% of Noah's money.
80% of $5 = 0.80 * $5 = $4
b.
Noah has $5. We can consider $5 to be the full amount.
A full amount is 100% or 1 or 5/5.
Elena has 80% of Noah's money, so she has 80/100 of Noah's money.
80/100 reduces to 4/5.
Noah has 5/5, and Elena has 4/5.
The money that Elena has is $2.
What is percentage?A percentage is a value that indicates 100th part of any quantity.
A percentage can be converted into a fraction or a decimal by dividing it by 100.
The given problem can be solved as follows,
(a) The amount of money Elena has is 40% of that of Noah.
It can be written as follows,
40% × 5
= 40/100 × 5
= 2
(b) Since the Elena has 40% of the Noah's money,
In the form of fraction it can be written as follows,
40% = 40/100
= 2/5
This can be represented in a diagram as follows,
In the diagram shown the circle has in total 5 sectors of which 2 yellow sectors represent Elena's money.
Hence, the amount of money Elena has is $2 which is shown in the diagram.
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A study on the latest fad diet claimed that the amounts of weight lost by all people on this diet had a mean of 23.4 pounds and a standard deviation of 6.8 pounds. Step 1 of 2 : If a sampling distribution is created using samples of the amounts of weight lost by 63 people on this diet, what would be the mean of the sampling distribution of sample means
Answer:
The mean of the sampling distribution of sample means would be of 23.4 pounds.
Step-by-step explanation:
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
What would be the mean of the sampling distribution of sample means?
By the Central Limit Theorem, the population mean, that is, of 23.4 pounds.
PLEASE HELP DEW IN 1 hour
Answer: B
Step-by-step explanation:
2(—2) + 10 = 6.
2(0) + 6 = 6.
2(2) + 2 = 6.
2(4) + (—2) = 6
how to write two pounds and four pence
This month Joe spent 1/2 of his salary on food and 1/3 on rent. What part of his salary did he spend? Simplify the fraction if possible.
Answer:
the answer is 5/6
Step-by-step explanation:
1/2 + 1/3
1 =3 + 2=1 5
x
-- + --- = ---
2 x 3 = 6
2. Which pair of angles is not congruent? F. ∠1 and ∠7 G. ∠3 and ∠5 H. ∠4 and ∠6 I. ∠2 and ∠5
Answer:
I) ∠2 and ∠5
Step-by-step explanation:
3x^2 -12x +11=0
How to complete the square
Answer:
Tiger shows you, step by step, how to solve YOUR Quadratic Equations 3x^2-x-11=0 by Completing the Square, Quadratic formula or, ...
Which of the following statements represent the relationship between the sine and cosine of complementary angles? Select all that apply
Answer:
I think its the first and the third one
Step-by-step explanation:
lemme know if this helps :)
Answer:
Step-by-step explanation:
5. The recursive formula NEXT = 3. NOW models the number of goldfish in a pond each year. If there are 36 goldfish in the pond after 3 years, how many goldfish will be in the pond after 6 years? A 324 B. 936 c. 972 D. 2,916
Answer:
B
Step-by-step explanation:
Sandra wants to solve the equation x2+2x−3 = 12 by using the factoring method. Which of the following should be her first step?
Answer:
her first step should be to multiply the coefficient of the first term by the constant 1 • -3 = -3
Step-by-step explanation:
i looked it up on tiger algebra lol
is travelling to another country.
He flies for 7 hours at an average speed of 990 km/h on one plane.
He then flies for 6 hours 15 minutes at an average speed of 920 km/h on a second plane.
What is the total distance, in km, he travelled by plane?
Answer:
First time=7hours
First speed=990km/hour
First distance=first time×first speedD=(
S×T)
D=990km/hr×7hrs
D=6930km.
Second time=6&14min.
Second speed=920km/hr
Second distance=second speed×second time (D=s×t)
D=920km/hr×6&14min.
D=1500
Total distance=6930+1500
=8430
which phrase in paragraph 3 of "The pit and the Pendulum" most strongly contributes to a mood of trade
F fecuent and thoughts endeavors to remember
6 buod reason of a later epoch
= a vague homer at my heart
call to mind fitness and dampness
Answer:
"and motion, and touch—a tingling
sensation pervading my frame. Then the mere consciousness
of existence, without thought—a condition which lasted
long. Then, very suddenly, thought, and shuddering terror,"
Can some body help me?
Answer:
24
Step-by-step explanation:
2(54-6x)=73-7x
108-12x=73-7x
108-73=-7x+12x
35=5x
x=7
UW=73-7x=73-7(7) = 73-49 = 24
how do you convert from kilometers to square meters
Answer:
To convert square km to square meters, multiply the square km value by 1000000
Step-by-step explanation:
In a popular online role playing game, players can create detailed designs for their character's "costumes," or appearance. Jonathan sets up a website where players can buy and sell these costumes online. Information about the number of people who visited the website and the number of costumes purchased in a single day is listed below.
140 visitors purchased no costume.
166 visitors purchased exactly one costume.
32 visitors purchased more than one costume.
Based on these results, express the probability that the next person will purchase one or more costumes as a percent to the nearest whole number.
Answer: it should be A/1
The length of a rectangle is increasing at a rate of 9 cm/s and its width is increasing at a rate of 4 cm/s. When the length is 15 cm and the width is 12 cm, how fast is the area of the rectangle increasing
Answer:
The area of the rectangle is increasing at a rate of 168 square centimeters per second.
Step-by-step explanation:
Geometrically speaking, the area of a rectangle ([tex]A[/tex]), in square centimeters, is described by following expression:
[tex]A = w\cdot l[/tex] (1)
Where:
[tex]w[/tex] - Width, in centimeters.
[tex]h[/tex] - Height, in centimeters.
By Differential Calculus, we find an expression for the rate of change of the area of the rectangle ([tex]\dot A[/tex]), in square centimeters per second:
[tex]\dot A = \dot w\cdot l + w\cdot \dot l[/tex] (2)
Where:
[tex]\dot w[/tex] - Rate of change of the width of the rectangle, in centimeters per second.
[tex]\dot l[/tex] - Rate of change of the length of the rectangle, in centimeters per second.
If we know that [tex]w = 12\,cm[/tex], [tex]l = 15\,cm[/tex], [tex]\dot w = 4\,\frac{cm}{s}[/tex] and [tex]\dot l = 9\,\frac{cm}{s}[/tex], then the rate of change of the area of the rectangle is:
[tex]\dot A = \dot w\cdot l + w\cdot \dot l[/tex]
[tex]\dot A = 168\,\frac{cm^{2}}{s}[/tex]
The area of the rectangle is increasing at a rate of 168 square centimeters per second.
PLEASE HELP!!!!!!!!!!! ASAP!!!!!!!!!!!
A freight train from city A to city B and a passenger train from city B to city A left the cities at the same time, at 10:00 AM, heading towards each other. The distance between the cities is 360 miles. The freight train is traveling at 50 mph, the passenger train is traveling at 70 mph.
At what TIME will the trains pass each other?
Answer:
at 1 pm
Step-by-step explanation:
are Equilateral triangles always acute triangles.
Answer:
Yes, they can only have acute angles (all measure 60°)
Step-by-step explanation:
The measures of the angles of a triangle are shown in the figure below. Solve for x
Answer:
x=17
Step-by-step explanation:
4x+8+44+60=180
4x+112=180
4x=180-112
4x=68
x=68/4
x=17
Which equation does this picture BEST represent?
A. 49 ÷ 7 = 7
B. 49 - 7 = 42
C. 7 - 7 = 0
D. 49 - 49 = 0
A water container was 1/4 full. Two litres of water was added. The container was then 1/3 full. How much did the container hold?
Answer:
Bárbara come la tercera parte de una caja de bombones. Su papá luego compra 7 bombones más y los pone en la caja. ¿Cómo se representa la cantidad de bombones que hay ahora en la caja?
Step-by-step explanation:
