In order to calculate the total surface area of this figure, let's consider the following views:
From above: 2 rectangles, one with dimensions 8 and 6 and one with dimensions 12 and 6.
From below: 1 rectangle with dimensions 20 and 6.
From the right: 2 rectangles, both with dimensions 6 and 4.
From the left: 1 rectangle with dimensions 6 and 8.
From the front and back: 2 composite figures, made by 2 rectangles each, one with dimensions 8 and 4 and one with dimensions 20 and 4.
So the total surface area is:
\(\begin{gathered} S=(8\cdot6+12\cdot6)+(20\cdot6)+2\cdot(6\cdot4)+(6\cdot8)+2\cdot(8\cdot4+20\cdot4) \\ S=120+120+48+48+224 \\ S=560\text{ cm}^2 \end{gathered}\)Therefore the surface area of the figure is equal to 560 cm².
Drag the tiles to the correct boxes to complete the pairs.
Not all tiles will be used.
Match the points with their polar coordinates.
( Image below )
A, B, C, D, E, F
1. ( -4, -3pi/4 ) --> _____
2. ( 4, 7pi/4 ) --> _____
3. ( 4, 3pi/4 ) --> _____
4. ( -4, -7pi/4 ) --> _____
{ Please write an explanation of your work. I've tried solving this on my own, but I still couldn't figure it out. Thank you for taking the time and effort to help me with this math question. :) }
Answer:
Okay, so I don't have a full answer, but I know that number 3 is C.
Step-by-step explanation:
We can easily knock off A and B as they are in the 1 circle and 1-4 is all on circle 4. I know what 3 is because it was correct on my test. However, I'm not sure about the other three other than that the other letters you should use is D, E, and F. Hope this helps somewhat.
Lydia is organizing a cooking competition at her school. She ordered some basic supplies to share among the teams that are competing.
The teams will be bringing other ingredients as well.
Use the list at the right to answer the questions.
1. If 10 of the teams divide the olive oil equally, how
much will each team receive? Write an equation
to model your work.
738.4 grams, flour
8.25 liters, milk
5.4 liters, olive oil
87.6 grams, salt
36 eggs
The equation to model the given work is 5.4 liters / 10 teams = 0.54 liters per team, and 0.54 liters per team × 920 grams per liter = 497.28 grams per team.
The teams will share 5.4 liters of olive oil. To find out how much each team will receive, we can divide the total amount of olive oil by the number of teams:
5.4 liters ÷ 10 teams = 0.54 liters per team
However, it's usually more convenient to express this in grams for equation, so we need to convert liters to grams.
The conversion factor for olive oil is approximately 0.92 grams per milliliter (or 920 grams per liter). So, we can multiply 0.54 liters per team by 920 grams per liter to get:
0.54 liters per team × 920 grams per liter = 497.28 grams per team
Therefore, each team will receive 497.28 grams of olive oil as per the work.
Equation: 5.4 liters / 10 teams = 0.54 liters per team, and 0.54 liters per team × 920 grams per liter = 497.28 grams per team.
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The physical fitness score for a population of police officers at a local police station is 73, with an SD of 8 on a 100-point physical endurance scale. Suppose the police chief selects a sample of 64 local police officers from this population and records a mean physical fitness rating on this scale equal to 75. He conducts a single-sample z test to determine whether physical endurance increased for this group. Based on your outcome, what is the proper format for writing out the results for this problem?
The p-value, under the assumption that the null hypothesis is correct, is the likelihood of receiving a test statistic that is as extreme as the one that was observed.
what is null hypothesis ?A declaration or assumption that there is no significant difference or association between two or more variables or populations being studied is known as the null hypothesis in statistics. The default hypothesis that is evaluated against an alternative hypothesis is known as the null hypothesis and is frequently represented as "H0." Typically, the null hypothesis is formulated in light of prior research, theoretical predictions, or accepted wisdom. It posits that any observed differences or correlations between groups or variables are the result of chance or random variation and serves as the foundation for evaluating a hypothesis.
given
We can use a standard format that includes the following details to present the z test results:
This is a claim regarding the population parameter being tested, or the null hypothesis.
In this instance, the null hypothesis is that the population of police officers' mean physical fitness score is equal to 73.
This assertion defies the null hypothesis, according to the alternative. The alternative hypothesis in this situation is that the sample of police officers' mean physical fitness score is higher than 73.
The p-value, under the assumption that the null hypothesis is correct, is the likelihood of receiving a test statistic that is as extreme as the one that was observed.
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I NEED HELP PLS HURRY
1. Write each expression with a single exponent:
a. (10^7)²
b. (10^9)³
c. (10^6)³
d. (10^2)³
e. (10³)²
f. (10^5)^7
Answer:
We use the rule,
\((a^b)^c = a^{bc}\)
a. (10^7)²
\((10^7)^2 = 10^{(7)(2)} = 10^{14}\)
10^14
b. (10^9)³
\((10^9)^3 = 10^{(9)(3)} = 10^{27}\)
10^27
c. (10^6)³
\(10^{(6)(3)}= 10^{18}\)
10^18
d. (10^2)³
\(10^{(2)(3)} = 10^{6}\)
10^6
e. (10³)²
\(10^{(3)(2)}=10^{6}\)
10^6
f. (10^5)^7
\(10^{(5)(7)} = 10^{35}\)
10^35
Step-by-step explanation:
Pablo solved the polynomial equations given in the table. Determine whether each polynomial is correct. Select Correct or Incorrect for each equation.
Equation
(b²+7b-9)+(4b-6b²) = -8b² + 14b-9
(4a+6)-(3a²-9a+1)=-3a²+ 13a +5
(12c-8c²)+(5c²- 10c) = -3c²+2c
The first equation is incorrect.
The second equation is correct.
The third equation is correct.
Let's go through each equation and determine whether it is correct or incorrect:
(b²+7b-9)+(4b-6b²) = -8b² + 14b-9
To determine if this equation is correct, we need to simplify both sides and check if they are equal.
On the left side:
(b²+7b-9)+(4b-6b²) = b² - 6b² + 7b + 4b - 9 = -5b² + 11b - 9
On the right side:
-8b² + 14b - 9
Comparing both sides, we can see that -5b² + 11b - 9 is not equal to -8b² + 14b - 9. Therefore, the equation is incorrect.
(4a+6)-(3a²-9a+1)=-3a²+ 13a +5
Again, we need to simplify both sides of the equation and check if they are equal.
On the left side:
(4a+6)-(3a²-9a+1) = 4a + 6 - 3a² + 9a - 1 = -3a² + 13a + 5
On the right side:
-3a² + 13a + 5
Comparing both sides, we can see that -3a² + 13a + 5 is equal to -3a² + 13a + 5. Therefore, the equation is correct.
(12c-8c²)+(5c²- 10c) = -3c²+2c
Again, let's simplify both sides and compare them.
On the left side:
(12c-8c²)+(5c²- 10c) = 12c - 8c² + 5c² - 10c = -3c² + 2c
On the right side:
-3c² + 2c
Comparing both sides, we can see that -3c² + 2c is equal to -3c² + 2c. Therefore, the equation is correct.
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The budget for a school dance is $380.00Decorations and refreshments cost $172.00The band charges a fee of $100.00 plus an additional $35.00 per hours. What is the maximum number of hours the school can have the band play at the dance?
Answer:
2500
Step-by-step explanation:
because i know the answers
8. Training for a race can provide a goal to focus on when running. True False
You buy milk at $2.48 per gallon. One portion of oatmeal requires 4 ounces of milk. How much does the milk for one portion cost?
Answer:
$0.01
Step-by-step explanation:
Convert gallons to ounces:
0.03125 Gallons of milk per serving
0.03125/2.48=0.0126008
Simplify:
0.01.
One portion costs 1 cent.
Solve
|2x+8 > 10
x < [?] or x >[]
Answer:
x < - 9 or x > 1
Step-by-step explanation:
inequalities of the type | x | > a have a solution of the form
x < - a or x > a
| 2x + 8 | > 10 is of this type , then
2x + 8 < - 10 or 2x + 8 > 10 ( subtract 8 from both sides of each inequality) )
2x < - 18 or 2x > 2 ( divide both sides of each by 2 )
x < - 9 or x > 1
Line k is represented by the equation y = 2x + 2. Write
an equation of a line that is perpendicular to line k that also passes through the point (-2, 9)?
Step-by-step explanation:
so, we calculate the perpendicular slope, and then we start with the point-slope form (since we were given a specific point of the line), and transform into the regular slope-intercept form.
the slope in
y = 2x + 2
is the factor of x : 2 or 2/1
the perpendicular slope is turning this upside down and flips the sign : -1/2
the point- slope form is
y - y1 = a(x - x1)
"a" being the slope, (x1, y1) being the point.
y - 9 = -1/2(x - -2)
y - 9 = (-1/2)x - 1
y = (-1/2)x + 8
you can have the points
Connor is cutting a 27 inch piece of wood. He cuts off 3 inches, and then cuts the remaining piece into 6 equal lengths of x feet each.
Answer:
4
Step-by-step explanation:
if a pilot is randomly selected, find the probability that his weight is between 120 lb and 161 lb witha mean of 130 and 27.3
Answer:
The probability that the weight of a randomly selected pilot is between 120 lbs. and 161 lbs. is 0.52.
Step-by-step explanation:
Let X = weight of pilots.
It is provided that X follows a normal distribution with mean, μ = 130 lbs. and standard deviation, σ = 27.3 lbs.
Compute the probability that the weight of a randomly selected pilot is between 120 lbs. and 161 lbs. as follows:
\(P(120<X<161)=P(\frac{120-130}{27.3}<\frac{X-\mu}{\sigma}<\frac{161-130}{27.3})\\\\=P(-0.37<Z<1.14)\\\\=P(Z<1.14)-P(Z<-0.37)\\\\=0.87286-0.35569\\\\=0.51717\\\\\approx 0.52\)
Thus, the probability that the weight of a randomly selected pilot is between 120 lbs. and 161 lbs. is 0.52.
Evaluate.
X =
-(-2)^(-2)2 -4(1)(-8)
2(1)
Answer:
\(x = \frac{129}{2} \)
Step-by-step explanation:
\(x = ( - 2 {)}^{ - 2} \times 2 - 4 \times 1 \times ( - 8) \times 2 \times 1\)
\(x = ( - 2 {)}^{ - 2} \times 2 + 4 \times 1 \times 8 \times2 \times 1\)
\(x + 2( ( - 2 {)}^{ - 2} + 4 \times 8)\)
\(x = 2( {2}^{ - 2} + 32)\)
\(x = 2( \frac{1}{ {2}^{2} } + 32)\)
\(x = 2( \frac{1}{4} + 32)\)
\(x = 2 \times \frac{129}{4} \)
\(x = \frac{129}{2} \)
A stairway rises 6 feet 4 inches over a horizontal distance of 8 feet 6 inches. What is the diagonal length of the stairway
Answer:
10.6 ft
Step-by-step explanation:
to find the diagonal length of the stairway we can use the pythagorean theorem or a^2 + b^2 = c^2
6'4" is also 6 1/3' or 19/3'
8'6" is also 8 1/2' or 17/2'
now square them both
361/9 + 289/4
make them have the same denominator
1444/36 + 2601/36
add them
4045/36
take the square root
10.6000524 is your answer
10.6 ft
Factorise 2x3+9x2+10x+3
Answer:
Hello,
Answer is (x+1)(x+3)(2x+1)
Step-by-step explanation:
\(p(x)=2x^3+9x^2+10x+3\\p(-1)=2*(-1)^3+9*(-1)^2+10*(-1)+3=-2+9-10+3=0\\p(x)\ is\ divisible\ by\ (x+1)We\ arrange\ to\ put\ a\ factor\ of\ x+1\\\\2x^3+9x^2+10x+3\\\\=2x^3+2x^2+7x^2+7x+3x+3\\\\=2x^2(x+1)+7x(x+1)+3(x+1)\\\\=(x+1)(2x^2+7x+3)\\\\=(x+1)(2x^2+6x+x+3)\\\\=(x+1)(2x(x+3)+1(x+3))\\\\=(x+1)(x+3)(2x+1)\\\)
The volume of a number cube is 27 cm cubed. What is the length of each side of the cube?
PLS HELP
Answer:
The side length is 3 cm
Step-by-step explanation:
The formula for volume of a cube is given by
V = s^3 where s is the side length
27 cm^3 = s^3
Take the cube root of each side
(27 cm^3 ) ^ (1/3) = (s^3)^(1/3)
3 cm = s
The side length is 3 cm
A. A survey of 110 teachers showed that 28 of them have a second job. B. A survey of 90 teachers showed that 27 of them have a second job. C. A survey of 70 teachers showed that 21 of them have a second job. D. A survey of 80 teachers showed that 32 of them have a second job. In math class, 4 students complete individual surveys to determine the percentage of high school teachers that have a second job. Which two surveys show proportional results? Responses
Answer: The answer is B and C im 100% correct
Step-by-step explanation:
At which points is the function continuous?
The function is continuous in the domain x ≥ 3/4
At which points is the function continuous?Here we have a root function:
f(x) = ⁴√(4x - 3)
This is an even degree root function, so we have problems when the argument is negative.
Then the allowed values (where the function is defined, and thus, continuous) are:
4x - 3 ≥ 0
4x ≥ 3
x ≥ 3/4
There the function is continuous.
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What is the value of (1/6)3?
Answer:
2 is the answer I am am awesome that is probably no the right answer anyway
ITS DO TODAY HELPPPPPPP
The difference in the addition of both fractions is that they have different lowest common multiples.
How to solve Fraction Problems?We want to add the fraction expression given as:
¹/₂ + ¹/₄
Taking the Lowest common multiple of 8, we have:
(4 + 2)/8 = 6/8
However, for the second fraction expression, we have:
¹/₂ + ¹/₃
Taking the lowest common multiple which is 6, we have:
(3 + 2)/6 = 5/6
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Name the angle in three kinds of notation.
Pls someone help me with this question pls
Answer:
c
Step-by-step explanation:
trust me i am did the test aredy
Find x when () = 2. Please explain step by step
Answer: Ans is 990. First such a number is 5×0 +2=2, then 5×1 +2=7, like that in all 20 numbers are there from 2 to 97 in A.P.with common difference of 5.
Step-by-step explanation:
Find g(x), where g(x) is the translation 2 units left and 4 units down of f(x)=x^2.
Write your answer in the form a(x–h)^2+k, where a, h, and k are integers.
g(x) =
The function g(x) in the form a(x-h)^2 + k is: \(g(x) = (x + 2)^2 - 4\)
Starting with\(f(x) = x^2\), the translation 2 units left and 4 units down would result in the following transformation:
g(x) = f(x + 2) - 4
Substituting\(f(x) = x^2:\)
\(g(x) = (x + 2)^2 - 4\)
Expanding the square:
\(g(x) = x^2 + 4x + 4 - 4\)
Simplifying:
\(g(x) = x^2 + 4x\)
Now we need to rewrite this expression in the form \(a(x-h)^2 + k.\) To do this, we will complete the square:
\(g(x) = x^2 + 4x\\g(x) = (x^2 + 4x + 4) - 4\\g(x) = (x + 2)^2 - 4\)
Therefore, the function g(x) in the form a(x-h)^2 + k is:
\(g(x) = (x + 2)^2 - 4\)
Where a = 1, h = -2, and k = -4.
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Find the amount (future value) of the ordinary annuity. (Round your answer to the nearest cent.)
$300/week for 9 1/2
years at 5.5%/year compounded weekly
Answer: $227,226.51
Step-by-step explanation:
First, we need to convert the period to weeks.
9 1/2 years = 9.5 years
1 year = 52 weeks
9.5 years = 494 weeks
Next, we can use the formula for the future value of an annuity:
FV = (PMT x (((1 + r/n)^(n*t)) - 1)) / (r/n)
where:
PMT = payment amount per period
r = annual interest rate
n = number of compounding periods per year
t = number of years
Plugging in the given values:
PMT = $300
r = 0.055 (5.5% expressed as a decimal)
n = 52 (compounded weekly)
t = 9.5 years = 494 weeks
FV = ($300 x (((1 + 0.055/52)^(52*494)) - 1)) / (0.055/52)
FV = $227,226.51
Therefore, the future value of the annuity is approximately $227,226.51.
Jake received $300 for his birthday. He must decide how much of it to save and how much to spend. His bank has a 5% interest rate. How much more money would be in his account after 5 years if he saved $300 than if he saved $250?
A. $9528.31
B. $382.88
C. $319.07
D. $63.81
When Jake saved $300, after 5 years, Jack have more amount of $75.
When Jake saved $250, after 5 years, Jack have more amount of $62.5.
Simple interest:The simple interest is computed as;
\(Interest=\frac{P*R*T}{100}\)
where P is principal , R is rate and T is time.
When Jake saved $300, after 5 years, Jack have amount of,
\(Amount=\frac{300*5*5}{100}=\$ 75\)
Therefore, after five years, Jack has $75 more in his account.
When Jake saved $250, after 5 years, Jack have amount of,
\(Amount=\frac{250*5*5}{100}=\$ 62.5\)
Therefore, after five years, Jack has $62.5 more in his account.
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What is the slope of a line that is perpendicular to the line represented by the equation x – y = 8? 1 −1 8
keeping in mind that perpendicular lines have negative reciprocal slopes, let's check for the slope of the equation above
\(x-y=8\implies -y=-x+8\implies y=\stackrel{\stackrel{m}{\downarrow }}{1}x-8\impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array} \\\\[-0.35em] ~\dotfill\)
\(\stackrel{~\hspace{5em}\textit{perpendicular lines have \underline{negative reciprocal} slopes}~\hspace{5em}} {\stackrel{slope}{ 1 \implies \cfrac{1}{\underline{1}}} ~\hfill \stackrel{reciprocal}{\cfrac{\underline{1}}{1}} ~\hfill \stackrel{negative~reciprocal}{-\cfrac{\underline{1}}{1} \implies \text{\LARGE -1}}}\)
What's the two numbers that round to the greatest place value have an estimated sum of 11000 and an estimated difference of 3000,then find the exact sum and the exact difference provide a detailed explanation as to how you reached your answers and why they will work
Answer:
hi
Step-by-step explanation:
hi hi hi hi hi hi hi.........
Please Help Me With this question.
Answer:
Y=76x
Step-by-step explanation:
if you divide 3 and 228 it is 76. if you divide 5 and 380 it is 76.if you divide 532 and 7 it is 76. and if you divide 11 and 836 it is 76.
Answer:
Step-by-step explanation:
The trick is to get rid of b in y = mx + b. The way to do that is to take 2 values and subtract them
(380 - 228) / (5 - 3) = 152/2 = 76
Not all problems work out this nicely.
The answer is
y = 76x
In this case you can be a little more direct. m = 380 ÷ 5 = 76, but not all equations are this well behaved and doing it the long way is the best way.