the area of the mat.
solution:22 + 3= 25
8 + 3= 11
= 25 inches long by 11 inches wide.
25 × 11= 275 in^2
the area of the mat is 275 in^2.
Find the surface area of the prism.
9 m
5 m. 12m
Answer:
the surface area of the prism is equal to 202 m^2
Step-by-step explanation:
The surface area of the prism is equal to
SA=2B+Ph
where
B is the area of the base
P is the perimeter of the base
h is the height of the prism
Find the area of the base B
B=LW=4*5=20m^2
Find the perimeter of the base P
P = 2(L+W) = 2 (4+5) = 18 m
Find the surface area ---->
SA = 2B + Ph = 2(20) + 18(9) = 202 m^2
btw m^2 is stand for square meter, also called the meter squared! (just if ur wondering)
What is the area of this figure? 4 cm 5 cm 5 cm
Answer:
100
Step-by-step explanation:
5*5*4=100
Which of the following cosine functions has a period of 3π?
y = 3cos x
y = cos3 x
y = 1/3 cos x
y = cos 2/3 x
Answer:
y = cos 2/3 x
Step-by-step explanation:
find the equation of the line drawn in the coordinate system below
Answer:
y=-2/1+4
or y=-2+4
Step-by-step explanation:
to find the slope, you count from one point of intersection to the next and the way it works is y/x so the line from one point to the next goes down 2 (making it negative also) and over 1, so -2/1 is your slope, and for the b part.. its just where the line intersects on the y axis (the line that goes up and down) so it would be 4
For which values is this undefined (what numbers makes the denominator 0)
Answer:
x = -6 and x = 1
Step-by-step explanation:
For the fraction to be undefined, find the zeros of the polynomial of the denominator.
x² + 5x - 6 = 0x² - x + 6x - 6 = 0x(x - 1) + 6(x - 1) = 0(x + 6)(x - 1) = 0x = -6 and x = 1This table gives a few (x,y)(x,y)left parenthesis, x, comma, y, right parenthesis pairs of a line in the coordinate plane.
xxx yyy
-94−94minus, 94 242424
-74−74minus, 74 181818
-54−54minus, 54 121212
What is the xxx-intercept of the line?
((left parenthesis
,,comma
))
From the linear function formed by the points given in the table, it is found that the x-intercept is of -14.
What is a linear function?A linear function is modeled by:
y = mx + b
In which:
m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0.In this problem, when x increases by 20, y decays by 6, hence the slope is given by:
[tex]m = -\frac{6}{20} = -0.3[/tex]
Then:
y = -0.3x + b.
When x = -54, y = 12, hence:
y = -0.3x + b
12 = -0.3(-54) + b.
b = -4.2.
Thus, the equation is:
y = -0.3x - 4.2.
The x-intercept is the value of x when y = 0, hence:
-0.3x - 4.2 = 0.
x = -4.2/0.3
x = -14
More can be learned about linear functions at https://brainly.com/question/24808124
Answer:
Step-by-step explanation:
rate plsss
Factorise (a-2b) (3+x)
Answer: ax - 2bx plus 3a - 6b
Step-by-step explanation: I’m not so sure with this but it might help
Larry has a bag of candy that weighs 12 pounds. He wants to divide the candy into 5 equal groups. How much will each group weigh
Answer:
2.4 pounds
Step-by-step explanation:
12/5=2.4
To get 5 equal parts of 12, you have to do 12 divided by 5.
Tyrell and Marianne start at the same point. Tyrell walks 2.5 miles north in a straight path. Marianne walks 6.0 miles east in a straight path. How many miles apart are they at the end of their walks rounded to the nearest hundredth mile?
Answer: 6.5 is the answer.
Step-by-step explanation:
5. The relationship between temperature in degrees Fahrenheit and degrees Celsius is
shown in the graph below
Yo I need to bring up my math grade bad so
y>-x+1
(please show it graphed already :D)
Answer:
Step-by-step explanation:
Estimate
10
12
−
3
8
using benchmark values. Your equation must show the estimate for each fraction and for the solution.
Step-by-step explanation:
I never learned this (for good reasons, I say). for me this is the strangest thing in math. math is precise. we are not guessing around when we can actually calculate things.
this is definitely ok, when just trying to decide, if one fraction is larger than the other, but to use that for an actual operation among fractions, is the biggest nonsense I have ever seen in math lessons (and not simpler than doing the precise calculation). again, math is a precise thing. the only valid level of imprecise answers is rounding, but only for the end result, not for intermediate results, because the rounding errors are rarely compensating for each other, they mostly pile up making the end result even less precise.
enough with the venting ...
benchmark fractions are the simple fractions (and their multiples)
1 (=1/1), 1/2, 1/3, 1/4, 1/5, 1/6
and then in steps of 2 :
1/8, 1/10, 1/12, ...
we try to find the closest simple fractions to our actual fractions and use them to estimate the actual result.
the simplest (but also normally the least precise) benchmark approach is using 1/2 as benchmark unit and 0, 1/2, 1 as benchmarks.
so, is 10/12 closest to 0, to 1/2 or to 1 ?
we know that 0 in 12ths would be 0/12, 1/2 would be 6/12, and 1 would be 12/12.
so, out of these 3 values 10/12 is closest to 12/12 (=1), so that is what you are choosing as representation.
is 3/8 closest to 0, 1/2 or to 1 ?
we would have 0/8, 4/8, 8/8.
and 3/8 is closest to 4/8 (= 1/2), and that is what we are choosing here as representation.
and the estimated result of 10/12 - 3/8 = 1 - 1/2 = 1/2 or 4/8 or 6/12.
let's pick 1/4 as benchmark unit.
so, are the numbers closest to
0, 1/4, 2/4, 3/4 or 1 (4/4) ?
for 10/12 we get then
0/12, 3/12, 6/12, 9/12, 12/12
and 10/12 is closest to 9/12 (3/4), which we pick as representation.
for 3/8 we get
0/8, 2/8, 4/8, 6/8, 8/8
if equidistant, we have to round up, so, we get 4/8 (2/4), which we pick as representation.
and the estimated calculation is
10/12 - 3/8 = 3/4 - 2/4 = 1/4
which is really horrible ...
2 and 4 are factors of 12 and 8. all smaller benchmark fractions (<1/4; so, e.g. 1/5, 1/6, 1/8. ...) are not meeting that criteria, making the benchmark finding much harder. so, I would not try that.
the real result is
the LCM of 12 and 8 is 24 (2×12 and 3×8).
so, we have
20/24 - 9/24 = 11/24 (almost 1/2).
so, actually, the benchmark unit of 1/2 is giving the best result here.
but to just do the exercise of benchmark units that are not factors of both denominators, let's pick 1/6
so, are the numbers closest to
0, 1/6, 2/6, 3/6, 4/6, 5/6 or 1 (6/6) ?
for 10/12 we get (all nicely)
0/12, 2/12, 4/12, 6/12, 8/12, 10/12, 12/12
so, 10/12 is closest to 10/12 (of course) = 5/6, which we pick as representation.
for 3/8 we get (ugh, we have to go for 24ths here too as 4×6 and 3×8)
0/24, 4/24, 8/24, 12/24, 16/24, 20/24. 24/24
3/8 = 9/24
so, the closest number to 9/24 is 8/24 (= 2/6), which we pick as representation.
and the estimated calculation is
10/12 - 3/8 = 5/6 - 2/6 = 3/6 = 1/2
did I say already that I don't like this ? that I don't see the advantage to the actual calculation ?
so, just in case : I don't like this (ugh) !
Hakeem has a points card for a movie theater. he receives 45 rewards points just for signing up. he earns 11. 5 points for each visit to the movie theater. he needs 206 points for a free movie ticket. how many visits must hakeem make to earn a free movie ticket?
Answer:
14visists
Step-by-step explanation:
206 points= 45points + 11.5points(number of visits)
let number of visits=x
206points-45points=11.5x
161=11.5x
x=161/11.5
x=14 visits
The equation y+4x=100 represents your distance y (in meters) from the finish line x seconds after you begin your leg of a relay race. The equation y+3.5x=96 represents your opponent’s distance from the finish line. How far do you need to run until you catch up to your opponent?
Which value represents |26|?
OA) -26
OB) O
OC) 26
OD) 126
the snake slithered 2.25 m before resting on a rock. Then the snake slithered twice as far as it did before, to catch a rat. When the snake headed home he slithered another 90 cm. What was the total distance the snake slithered?
Answer:
Step-by-step explanation:
2.25m + 2(2.25m) + 90 cm =
2.25m + 4.50m + 90 cm
6.75m + 90 cm
1 cm = 0.01m...so 90 cm = 90 * 0.01 = 0.9m
6.75m + 0.9m = 7.65m <===
2.25m + 2(2.25m) + 90 cm =
2.25m + 4.50m + 90 cm
6.75m + 90 cm
1 cm = 0.01m...so 90 cm = 90 * 0.01 = 0.9m
6.75m + 0.9m = 7.65m
OR../=-
1m = 100 cm....so 7.65m = 7.65 * 100 = 765 cm
This morning, Deanna took a history test. She got 87 out of 90 problems right. What is
her final grade, as a percentage rounded to the nearest tenth?
Answer:
96.7%
Step-by-step explanation:
87/90 = 0.96666666
To make this number a percentage, we move the decimal point two places to the right. Her grade would be 96.6666 percent, which rounds up to 96.7%
Answer:
96.7%
Step-by-step explanation:
87÷90×100
Since spring started, Kareem has been surveying the growth of leaves on his neighborhood trees. He goes out every day and computes the average number of leaves on a sample of trees. He created a scatter plot where the y-axis represents the average number of leaves on the trees, and the x-axis represents the number of weeks since spring started. Use the 2 given points to write a linear equation that can be used to approximate the data distribution.
Answer:
y = 1566.67x + 1716.67
is the actual answer..
The linear equation that can be used to approximate the data distribution is y = 1566.67x + 1716.67.
What are Linear Equations?Linear equations are equation involving one or more expressions including variables and constants and the variables are having no exponents or the exponent of the variable is 1.
Linear equations may include one or more variables.
Given two points on the line.
(0.5, 2500) and (3.5, 7200)
Slope intercept form of a linear equation is y = mx + c, where m is the slope and c is the y intercept.
Slope = (7200 - 2500) / (3.5 - 0.5)
= 4700 / 3
= 1566.67
So the equation is, y = 1566.67x + c
Substitute the point (0.5, 2500) to the equation.
2500 = (1566.67 × 0.5) + c
c = 1716.67
So the equation is, y = 1566.67x + 1716.67
Hence the required equation is y = 1566.67x + 1716.67.
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#SPJ2
How many rearrangements are there of the letters in the word "great?"
IMAGE IS DOWN BELOW!!
SOMEONE PLEASE HELP ME!!
ILL GIVE YOU BRAINLIST ANSWER AND POINTS!!
Answer:
14.3 Cm
Step-by-step explanation:
Step 1: A^2+B^2=C^2
Step 2: 3^2+14^2=C^2
Step 3: 9+196=C^2
Step 4: 205=C^2
Step 5: 14.3=C
1. Find the length of X and Y:
2. Find the area of the equilateral triangle:
Step-by-step explanation:
1)
[tex] \sin(theta) = \frac{opposite \: side}{hypotenuse} [/tex]
[tex] \sin(30) = \frac{x}{10} = \frac{1}{2} [/tex]
[tex] \frac{x }{1} = \frac{10}{2} [/tex]
[tex]x = 5[/tex]
In right Angles traingle
By using Pythagoras theorm
we get
x²+y²=10²
25+y²=100
y²=75
y=5√3
x=5,y=5√3
2)
Area of equilateral traingle =
[tex] \frac{ \sqrt{3} }{4} {a}^{2} [/tex]
required area
[tex] \frac{ \sqrt{3} }{4} \times {6}^{2} [/tex]
[tex] \frac{36 \sqrt{3} }{4} [/tex]
[tex]9 \sqrt{3} [/tex]
Helpppp plssss!!!!!!!!!
Answer:
according to my calculations syour mada
Which of the following is NOT considered a parallelogram?
A. Rhombus
B. Rectangle
C. Square
D. Trapezoid
Answer:
Trapezoid
Explanation:
A trapezoid does not have two pairs of parallel sides.
Answer: D. Trapezoid
Step-by-step explanation:
SAT math scores for a particular year are normally distributed with a mean of 510 and a standard deviation of 80.
What is the probability that a randomly selected score is greater than 590? Enter the numerical answer only (no percent sign).
Using the normal distribution, it is found that there is a 16% probability that a randomly selected score is greater than 590.
Normal Probability DistributionThe z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The z-score measures how many standard deviations the measure is above or below the mean. Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.In this problem, the mean and the standard deviation are, respectively, given by [tex]\mu = 510[/tex] and [tex]\sigma = 80[/tex].
The probability that a randomly selected score is greater than 590 is one subtracted by the p-value of Z when X = 590, hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{590 - 510}{80}[/tex]
Z = 1
Z = 1 has a p-value of 0.84.
1 - 0.84 = 0.16.
0.16 = 16% probability that a randomly selected score is greater than 590.
More can be learned about the normal distribution at https://brainly.com/question/24663213
Joey worked 8 more hours than Chandler last week. Together, they worked a total of 59 hours. Which system of equations can be
used to determine the number of hours Joey worked, x, and the number of hours Chandler worked, y?
Answer:
x + y = 59
x = 8 + y
Step-by-step explanation:
Joey: x hours
Chandler: y hours
total hours is sum of both:
x+y = 59
Joey (x) worked 8 more hours than chandler (y)
x = 8 + y
Suppose that a simple random sample of n = 6 individuals is obtained from a population that is skewed right with mean = 39 and standard deviation o = 2
-
(a) The shape of the sampling distribution of the sample mean is approximately normal Is this true or false?
(b) What is the mean of the sampling distribution of the sample mean?
(c) What is the standard deviation of the sampling distribution of the sample mean?
The shape is not normal since the sample size (6) is less than 30.
The mean and standard deviation of the sample distribution is 39, and 0.82 repectively
What is a normal distribution?The normal distribution is a distribution that is symmetric about the mean and has a bell shaped curve.
Given that
n = 6, mean = 39 and standard deviation o = 2.
Hence:
The shape is not normal since the sample size (6) is less than 30.
The mean of the sample distribution = 39, the standard deviation of the sample distribution = 2/√6 = 0.82
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The owner of a video game store creates the expression −2x2 28x 20 to represent the store's weekly profit in dollars, where x represents the price of a new video game. choose the equivalent expression that reveals the video game price that produces the highest weekly profit, and use it to determine that price. −2(x − 7)2 118; x = $7 −2(x − 7)2 118; x = $118 −2(x2 − 14x) 20; x = $14 −2(x2 − 14x − 10); x = $10
The given expression is equivalent to [tex]\rm -2(x-7)^2+118[/tex]price is $7 option first is correct.
What is a quadratic expression?A quadratic expression is a second-degree algebraic expression represented by the:
[tex]\rm ax^2+bx+c=0[/tex] ........(1)
Where a, b, and c are the constants and
We have a quadratic expression:
[tex]\rm f(x)=-2x^2+28x+20[/tex]
Convert it to perfect square by perfect square trinomial:
[tex]\rm f(x)=-2(x^2+14x)+20[/tex]
[tex]\rm f(x)=-2(x^2+14x+49-49)+20[/tex] (adding and subtracting by 49)
[tex]\rm f(x)=-2(x-7)^2+2(49)+20[/tex]
[tex]\rm f(x)=-2(x-7)^2+118[/tex]
Here [tex]\rm (x-7)^2[/tex] is the positive term and -2 is the negative term so in order to get the highest weekly profit it should be zero, so
[tex]\rm -2(x-7)^2=0[/tex]
x = $7
Thus, the given expression is equivalent to [tex]\rm -2(x-7)^2+118[/tex] and the price is $7.
Learn more about quadratic expression here:
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Answer:
First option A. −2(x − 7)^2 + 118; x = $7
Step-by-step explanation:
Took the test and it's correct, trust me :)
find a, b, and c please and thank u
1. The sample mean weight of 100 chimpanzees was measured to be 82.4 pounds, with a standard deviation of 12.6 pounds. Using a 1% level of significance, what could we claim about the population mean weight for all chimpanzees so that it will fail to be rejected?
Using the t-distribution, as we have the standard deviation for the sample, we could claim that the mean weight in pounds is in the interval (79.1, 85.7).
What is a t-distribution confidence interval?The confidence interval is:
[tex]\overline{x} \pm t\frac{s}{\sqrt{n}}[/tex]
In which:
[tex]\overline{x}[/tex] is the sample mean.t is the critical value.n is the sample size.s is the standard deviation for the sample.The critical value, using a t-distribution calculator, for a two-tailed 99% confidence interval, with 100 - 1 = 99 df, is t = 2.6259.
The other parameters have values given by:
[tex]\overline{x} = 82.4, s = 12.6, n = 100[/tex].
We could claim that the mean is any value in the 99% confidence interval, which has bounds given by:
[tex]\overline{x} - t\frac{s}{\sqrt{n}} = 82.4 - 2.6259\frac{12.6}{\sqrt{100}} = 79.1[/tex]
[tex]\overline{x} - t\frac{s}{\sqrt{n}} = 82.4 + 2.6259\frac{12.6}{\sqrt{100}} = 85.7[/tex]
More can be learned about the t-distribution at https://brainly.com/question/16162795
What is the MAD of these numbers: 52, 65, 63, 48, 52, 53, 60
Answer: About 5.59
Step-by-step explanation:
The mean absolute deviation (MAD) is where you subtract the mean from each value, find the absolute value of that value, and then find the average of those values.
Here is what it looks like.
[Step 1]
Find the average.
[tex]\displaystyle \frac{52+65+63+48+52+53+60}{7} =\frac{393}{7}=56.14[/tex]
[Step 2]
Find the absolute value of each data from the mean.
|52 - 56.14| = 4.14
|65 - 56.14| = 8.86
|63 - 56.14| = 6.86
|48 - 56.14| = 8.14
|52 - 56.14| = 4.14
|53 - 56.14| = 3.14
|60 - 56.14| = 3.86
[Step 3]
Find the average of these values.
[tex]\displaystyle\frac{4.14 + 8.86 + 6.86+8.14+4.14+3.14+3.86}{7} =\frac{39.14}{7}=5.59[/tex]
