Answer:
Area of a 30-inch circular mirror is greater than area of a 18-inch circular mirror by 452.16 square inches.
Step-by-step explanation:
We are given the following in the question:
Mirror 1:
[tex]d_1 = 30\text{ inches}\\\\\Rightaroow r_1 = \dfrac{30}{2}=15\text{ inches}[/tex]
Area of mirror 1 = Area of circle
[tex]A_1 = \pi r_1^2[/tex]
Putting values, we get,
[tex]A_1 = 3.14\times (15)^2=706.5\text{ square inches}[/tex]
Mirror 2:
[tex]d_1 = 18\text{ inches}\\\\\Rightaroow r = \dfrac{18}{2}=9\text{ inches}[/tex]
Area of mirror 1 = Area of circle
[tex]A_2 = \pi r_2^2[/tex]
Putting values, we get,
[tex]A_2 = 3.14\times (9)^2=254.34\text{ square inches}[/tex]
Difference between area =
[tex]=A_1-A_2\\=706.5-254.34\\=452.16\text{ square inches}[/tex]
Thus, area of a 30-inch circular mirror is greater than area of a 18-inch circular mirror by 452.16 square inches.
Abe creates a scatter plot showing students' ages on the x-axis and their heights on the y-axis. Which type (1 point)
of trend will the scatter plot show?
М.
a linear trend
a positive trend
a negative trend
no trend
The trend will be positive because as the students get older their heights tend to get taller.
Answer:
B
Step-by-step explanation:
As students grow older, they will naturally grow taller because their bodies are developing and maturing. This means that as the values on the x axis increase, the values on the y axis will also increase.
The result of these type of correlation is that there will be a line increasing to the right. This is known as a positive trend.
Hope this helps!
a and b are positive integers and a−b = 2. Evaluate the following:
4^(1/2a) / 2^b
Answer:
4
Step-by-step explanation:
4^(1/2a)/2^b
[tex]\frac{4^{\frac{1}{2} a} }{2^b}\\=\frac{(2^{2})^{\frac{1}{2}a} }{2^b}\\=\frac{2^{2 \times \frac{1}{2}a } }{2^b} \\=\frac{2^a}{2^b} \\=2^{a-b} \\=2^2\\=4[/tex]
I’m not sure what the answer is
Answer:
The population is 300 the sample is the amount of people who responded.
= 300 ⇒300:138
this means sample unsatisfactory
as the sample was less than 50%
Step-by-step explanation:
The population is viewed as 300/570
There are a number of different ways to handle this. One is to target a 100% response rate, although in doing this care has to be taken in how it is achieved to avoid biasing the responses by changing them! By way of a silly example, if I offered everyone who responds to the survey a lifetime’s supply of ice-cream to boost the response rate, and the survey includes questions about future purchases of ice-cream, that may well impact on the answers. Similarly, cajoling employees into completing an engagement survey may have a negative effect on their answers.
Non-response does not always have a negative effect on survey result (there is a large body of research in this area: Curtin, Presser, and Singer 2000 ; Keeter et al. 2000; , and Earl, “The Practice of Social Research”). Anything over 50% is usually sufficient, and over 70% is viewed as a very good response rate. There are a number of reasons for survey non-response:
Awareness (people were not aware of the survey due to communication failure).
Capability (people do not have the knowledge/competence/tools to complete the survey).
Motivation (people are aware and able, but unmotivated/unwilling/refusing).
If a normal distribution has a mean of 44 and a standard deviation of 8, what
is the z-score for a value of 46?
O A. 1.25
O B. 1.75
O c. 0.75
O
D. 0.25
Answer:
The answer to this question is gotta be 0
Step-by-step explanation:
Because a normal distribution gives an area between 0 and z and the area for P(X=46) = 0
The correct answer is option D: 0.25. The z-score for a value of 46 is 0.25.
To calculate the z-score for a given value in a normal distribution, we use the formula:
z = [tex]\frac{{x - \mu}}{{\sigma}}[/tex]
where:
x - the value
[tex]\mu[/tex] - the mean
[tex]\sigma[/tex] - the standard deviation
Given:
x - 46
[tex]\mu[/tex] - 44
[tex]\sigma[/tex] - 8
We can plug these values into the formula:
z = [tex]\frac{{46 - 44}}{{8}}[/tex]
z = [tex]\frac{{2}}{{8}}[/tex]
z = 0.25
So, the z-score for a value of 46 is 0.25.
The question is:
If a normal distribution has a mean of 44 and a standard deviation of 8, what is the z-score for a value of 46?
A. 1.25
B. 1.75
C. 0.75
D. 0.25
how do you do question b?
Answer:
Step-by-step explanation:
Not sure
What is the formula for the area A of a circle in terms of the radius r ?
The formula is A =
plzzzzz guys
Answer:
The formula for the area of a circle is:
[tex]\pi r^{2}[/tex]
[tex]\pi =3.14159265359[/tex]
1) Multiply pi by the radius squared
Which equation is a correctly written thermochemical equation?
C3H8 (g) + 5O2 (g)→3CO2 (g) + 4H2O (l) , ΔH= −2,220 kJ/mol
Fe (s) + O2 (g)→Fe2O3 (s) , ΔH= −3,926 kJ
NH4Cl→NH4 + + Cl−
2C8H18 + 25O2→16CO2 + 18H2O , ΔH= −5,471 kJ/mol
Correctly written thermochemical equations include gaseous, liquid, or solid state indications as well as the enthalpy change, ΔH. Out of the presented options, the equations for C3H8(g), Fe(s), and 2C8H18 correctly represent thermochemical equations, but NH4Cl does not due to lacking these features.
Explanation:The question is asking which equation is a correctly written thermochemical equation. A thermochemical equation is a balanced stoichiometric chemical equation that includes the enthalpy change, ΔH.
Looking at the given equations, the first is:
C3H8(g) + 5O2(g)→3CO2(g) + 4H2O(l) , ΔH= −2,220 kJ/mol. This is a correct thermochemical equation.
The second equation is:
Fe(s) + O2(g)→Fe2O3(s) , ΔH= −3,926 kJ. This is also a correct thermochemical equation.
The third equation lacks the gaseous, liquid, or solid state indications as well as the ΔH value, therefore it is not a thermochemical equation.
The fourth equation, 2C8H18 + 25O2→16CO2 + 18H2O , ΔH= −5,471 kJ/mol, is definitely an example of a correct thermochemical equation.
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Subtract:
88 – (–35)
Question options:
A)
–53
B)
–123
C)
53
D)
123
Answer:
it's answer is D 123
Step-by-step explanation:
Here
88 - ( -35)
When it comes our of bracket - *- = +
So
88 + 35
= 123
Hope it will help you :)
Answer:
D ) 123
Step-by-step explanation:
88 – (–35) =
= 88 + 35
= 123
If sally got 28 questions correct and received 70% on the exam, how many questions were on the exam
Answer: 40
Step-by-step explanation:
Number of correct questions Sally got = 28 questions
Percentage of correct questions answered= 70% on the exam,
Total number of questions in the exam = Unknown
Let the total questions in the exam be represented as y.
Since Sally got 70% correctly, this will be:
70% of y = 28
70/100 × y = 28
0.7 × y = 28
0.7y = 28
Divide both side by 0.7
0.7y/0.7 = 28/0.7
y = 40
There are 40 questions in the exam.
What is the area of the SHADED sector of the circle?
a. 36 pi units2
b. 8 pi units2
c. 48 pi units2
d. 81 pi units2
PLEASE HURRY!! I HAVE LIMITED TIME!! :)
Given:
Given that the radius of the circle is 9 units.
The measure of the angle JHG is 160°
We need to determine the area of the shaded sector of the circle.
Area of the circle:
The area of the circle can be determined using the formula,
[tex]A=(\frac{\theta}{360}) \pi r^2[/tex]
where r is the radius
Substituting r = 9 and [tex]\theta=160[/tex], we get;
[tex]A=(\frac{160}{360}) \pi (9)^2[/tex]
Simplifying, we get;
[tex]A=(\frac{160}{360}) \pi (81)[/tex]
[tex]A=36 \pi[/tex]
Thus, the area of the shaded sector of the circle is 36π units²
Hence, Option a is the correct answer.
What is the length of the shortest side of a triangle that has vertices at (4,6), (-2,0), and (-6,3)?
Answer:
5
Step-by-step explanation:
This is a 3, 4, 5 triangle
Answer: 5
If you graphed these three points on a graph you can see that the points (-2,0) and (-6,3) have the smallest length. First we want to find the slope of these points. We can use the formula y2 - y1 / x2 - x1. 3 - 0 / -6 - -2. 3-0 is 3 and -6 - -2 is -4. Two negatives make a postive. So the slope is 3/-4. We can't have a negative slope so change the -4 to a postive 4. Now square the slope 3/4 to get 9 and 16. We know the pythagoren therom formula is a^2 + b^2 = c^2. So square 3 and 4 to get 9 and 16 then add them to get 25. Square 25 and you get the answer 5.
What solid will this lesson focus on?
triangular prism
regular square pyramid
cone
rectangular solid
Answer:
Regular Square Pyramid
Step-by-step explanation:
I’m doing this question on odyssey ware it’s the title
Simplify (-2x^4y^2)^3
Final answer:
The expression (-2x⁴y²)³ simplifies to -8x¹²y⁶, by individually raising the coefficient and each variable to the third power.
Explanation:
To simplify the expression (-2x⁴y²)³, you must raise both the numerical coefficient and the variables to the third power. Remember that raising a power to a power multiplies exponents and raising a negative number to an odd power results in a negative number.
First, raise -2 to the third power: (-2)³ = -8Then raise x⁴ to the third power: (x⁴)³ = x¹²Lastly, raise y² to the third power: (y²)³ = y⁶Putting it all together, the expression simplifies to -8x¹²y⁶.
Today, Isaac needs to walk his dog, water the garden, and feed his fish. DDD is the number of minutes it takes to walk his dog, GGG is the number of minutes it takes to water the garden, and FFF is the number of minutes it takes to feed his fish.
The expression G+(D+F)G+(D+F)G, plus, left parenthesis, D, plus, F, right parenthesis describes the total number of minutes it takes Isaac to do all three tasks. We can also use the expression (G+D)+F(G+D)+Fleft parenthesis, G, plus, D, right parenthesis, plus, F to represent the same quantity.
Match each amount in the situation with the expression that represents it.
For reference:
The dog is an animal, and he needs to go outside to walk.
The garden is a bunch of plants (not an animal), and it is outside.
The fish is an animal, and she lives in a water tank inside.
Situation
Expression
THIS IS FOR KHAN ACADEMY
Answer:
The total Minutes of the Inside tasks.-F (Fish)The total Minutes of the Outside tasks.-G+D (Garden and Dog)The total Minutes of the tasks involving animals.-D+F (Dog and fish)The total Minutes of the tasks not involving animals.-G (GardenStep-by-step explanation:
D is the number of minutes it takes to walk his dog
G is the number of minutes it takes to water the garden
F is the number of minutes it takes to feed his fish.
We are required to match these situations to their respective expressions:
Situation
The total Minutes of the Inside tasks.The total Minutes of the Outside tasks.The total Minutes of the tasks involving animals.The total Minutes of the tasks not involving animals.Expression
D+FG+DGFMatch:
The total Minutes of the Inside tasks.-F (Fish)The total Minutes of the Outside tasks.-G+D (Garden and Dog)The total Minutes of the tasks involving animals.-D+F (Dog and fish)The total Minutes of the tasks not involving animals.-G (Garden)what is the hourly difference in median income for a male versus female with an advanced degree?
The hourly difference in median income between males and females with an advanced degree is approximately $9.62/hr.
To determine the hourly difference in median income between males and females with an advanced degree, we need to know the median income for each gender and the number of hours worked. If you can provide the median income values for both males and females with an advanced degree, I can calculate the difference for you.
For illustration, let's assume the following median income values:
- Median income for males with an advanced degree: M dollars per year
- Median income for females with an advanced degree: F dollars per year
- Average hours worked per week: H hours
- Number of weeks worked per year: W weeks (usually 52)
Here's how to calculate the hourly difference:
1. Convert annual median incomes to hourly incomes:
[tex]\text{Hourly income for males} = \frac{M}{H \times W} \\\\\text{Hourly income for females} = \frac{F}{H \times W}[/tex]
2. Calculate the difference in hourly incomes:
[tex]\text{Hourly difference} = \text{Hourly income for males} - \text{Hourly income for females}[/tex]
Let's plug in hypothetical numbers for illustration:
- Median income for males: M = 100,000 dollars per year
- Median income for females: F = 80,000 dollars per year
- Average hours worked per week: H = 40 hours
- Number of weeks worked per year: W = 52
Calculate the hourly incomes:
[tex]\text{Hourly income for males} = \frac{100,000}{40 \times 52} = \frac{100,000}{2080} \approx 48.08 \text{ dollars/hour} \\\\\text{Hourly income for females} = \frac{80,000}{40 \times 52} = \frac{80,000}{2080} \approx 38.46 \text{ dollars/hour}[/tex]
Calculate the hourly difference:
[tex]\text{Hourly difference} = 48.08 - 38.46 = 9.62 \text{ dollars/hour}[/tex]
So, the hourly difference in median income between males and females with an advanced degree is approximately $9.62/hr. To provide an exact answer, please supply the specific median income values for males and females with an advanced degree.
The complete question is:
What is the hourly difference in median income for a male versus female with an advanced degree?
$_____/hr
Right triangle FHG is shown. The sine of angle F is 0.53. What is the cosine of Angle h ?
Given:
Given that FGH is a right triangle. The sine of angle F is 0.53.
We need to determine the cosine of angle H.
Cosine of angle H:
Given that the sine of angle F is 0.53
This can be written as,
[tex]sin F=0.53[/tex]
Applying the trigonometric ratio, we have;
[tex]\frac{HG}{FH}=0.53[/tex] ----- (1)
Now, we shall determine the value of cosine of angle H.
Let us apply the trigonometric ratio [tex]cos \ \theta=\frac{adj}{hyp}[/tex], we get;
[tex]cos \ H=\frac{HG}{FH}[/tex] ----- (2)
Substituting the value from equation (1) in equation (2), we get;
[tex]cos \ H=0.53[/tex]
Thus, the cosine of angle H is 0.53
If the state legislature cannot agree on a state budget, what would MOST LIKELY happen?
State employees would not receive salaries.
A temporary spending authority would be passed.
The governor would suspend the state legislature.
D)
Spending on government services would come to a halt
When a state legislature cannot agree on a state budget, the most probable outcome is the passing of a temporary spending authority, allowing the government to maintain operations while negotiations continue. Other, more drastic measures occur in extreme cases.
Explanation:If the state legislature cannot agree on a state budget, the most likely outcome would be that a temporary spending authority would be passed, also known as a continuing resolution. This temporary resolution authorizes the government to continue operations at the current funding level until a new budget can be agreed upon. Without this, essential government services could be disrupted, including wages for state employees and spending on other government services.
Halting all government spending or suspending the state legislature is highly unlikely and would typically only happen in extreme situations. It's also important to note that the specifics of what happens when a budget isn't passed can vary from state to state, as the processes for managing this situation are defined by each state's constitution and laws.
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What is the equation of the line that passes through (-2, 2) and (1, -4)?
y=2x-2
y=-2x-4
y=-2x-2
y= 2x+4
Answer:
y = - 2x - 2
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ = (- 2, 2) and (x₂, y₂ ) = (1, - 4)
m = [tex]\frac{-4-2}{1+2}[/tex] = [tex]\frac{-6}{3}[/tex] = - 2, thus
y = - 2x + c ← is the partial equation
To find c substitute either of the 2 points into the partial equation
Using (- 2, 2), then
2 = 4 + c ⇒ c = 2 - 4 = - 2
y = - 2x - 2 ← equation of line
Enter the quadratic equation in standard form in the box below. Use the caret
(^) to enter exponents. For example, enter x2 as x^2.
x2 - 4x - 29 = -8
Answer:
So -3 and 7 are the answer
Step-by-step explanation:
nnnnnnbbn
a. g(x)=3x^2
b. g(x)=(1/9x)^2
c. g(x)-1/3x^2
d. g(x)(1/3x)2
Answer:
the awnser would be a(g(x)=3x2
Solve for y.
6(y+4)=-3(2y-2) +8y
Simplify your answer as much as possible.
y =
Answer:
6(y + 4) = -3(2y - 2) + 8y
6y + 24 = -6y + 6 + 8y
6y + 24 = 2y + 6
Subtract -2y on both sides
4y + 24 = 6
Subtract -24 on both sides
4y = -18
y = - 4.5
Answer:
-9/2 or -4.5
Step-by-step explanation:
Distribution; 6y+24 = -6y+6+8yCombine like terms; 6y+24 = 2y+6Put y on one side; 6y-2y = -24+6Simplify; 4y = -184y/4 = -18/4y= -9/2 or -4.5You have $13 and earn $0.50 for each cup of orange juice you sell .write an equation that represents the total amount A (in dollars )you have after selling j cups of orange juice
Answer:
13 plus .50 times J =A
Step-by-step explanation:
i dont really know how to explain this but here we go...
you already have $13 and if you get .50 for every cup you sell (J) then thats it really...
A = 13+ 0.50j is the equation which represents the total amount A you have after selling j cups of orange juice.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
Given that you have $13 and earn $0.50 for each cup of orange juice you sell .
We have to find an equation which represents the total amount A (in dollars )you have after selling j cups of orange juice
A = 13+ 0.50j
13 is the initial amount and 0.50 is the slope of the given equation.
Hence, A = 13+ 0.50j is the equation which represents the total amount A you have after selling j cups of orange juice.
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This Question: 1 pt
A baseball is hit so that its height in feet after t seconds is s(t) = - 4t"" + 20t+2.
(a) How high is the baseball after 1 second?
(b) Find the maximum height of the baseball.
Answer with Step-by-step explanation:
We are given that
Height of ball after t seconds is given by
[tex]s(t)=-4t^2+20t+2[/tex]
a.Substitute the value of t=1
[tex]s(1)=-4(1)+20(1)+2=-4+20+2=18 ft[/tex]
b.Differentiate w.r.t x
[tex]s'(t)=-8t+20[/tex]
[tex]s'(t)=0[/tex]
[tex]-8t+20=0[/tex]
[tex]8t=20[/tex]
[tex]t=\frac{20}{8}=2.5[/tex]
Again differentiate w.r.t t
[tex]s''(t)=-8<0[/tex]
Hence, the height is maximum at t=2.5 s
[tex]s(2.5)=-4(2.5)^2+20(2.5)+2=27[/tex]
Maximum height of the baseball=27 ft
I will give U 15 pt Please help the last 2 answers are
The height of the brush after t seconds
The time it takes for the brush to hit the ground
We have the height h(t) as
h(t) = -16t² + 1024
16t² is how far we've fallen as a function of time; since we started 1024 feet up the height is 1024-16t².
Answer: the distance the brush falls in t seconds, first choice
0.12m/s =_____km/h
0.3g/cm^3=____km/m^3
Answer:
a)0.12m/s=0.432km/h
b)0.3g/cm²=300
Step-by-step explanation:
a)multiply the speed value by 3.6
b)multiply the mass / volume value by 1000
Hope this helps :)
If Andy drove 84 miles in 1 hour and 45 minutes, how many miles can he drive in 5 hours?
Answer:
He would be able to drive 240 miles in 5 hours.
Step-by-step explanation:
45 minutes is 75% of an hour, so dividing 84 miles by 1.75 hours gets you 48 miles per hour. If you then multiply 48 mph by 5 hours you will get the correct answer of 240 miles.
20pts. The table shows the results of rolling a number cube, with sides labeled 1 through 6, several times. What is the experimental probability of rolling a 3 or a 6?
Enter your answer as a fraction in the simplest form, in the box.
Outcome 1 2 3 4 5 6
Number of times outcome occurred 10 6 4 8 6 6
Answer:
[tex] \frac{3}{6} = \frac{1}{2} [/tex]
Step-by-step explanation:
Because the number 6 outcomes 3 times but 3 doesn't occur.
hope this helps you!
The exterior walls and roof of a barn are to be painted. The barn is in the shape of a rectangular prism, with an isosceles triangular prism for a roof. Calculate the total area to be painted. PLEASE HELP! I WILL MARK YOU BRAINLIEST!
Given:
The rectangular prism has a length of 25 feet, a width of 10 feet and a height 55 feet.
The triangular prism has a base length of 25 feet, a height of 8 feet, and a prism height of 55 feet.
To find:
The total area to be painted.
Solution:
There are 4 external surfaces for the rectangular prism and 4 external surfaces for the triangular prism.
The rectangular prism has 4 rectangles out which there are 2 sets of similar rectangles.
There are two rectangles with lengths of 25 feet and widths of 10 feet while the other two rectangles have lengths of 55 feet and widths of 10 feet.
The area of a rectangle with a length of 25 feet and a width of 10 feet [tex]= 25(10)= 250[/tex] square ft.
The area of two such rectangles [tex]= 2(250) = 500[/tex] square feet.
The area of a rectangle with a length of 55 feet and a width of 10 feet [tex]= 55(10)= 550[/tex] square feet.
The area of two such rectangles [tex]= 2(550) = 1100[/tex] square feet.
The triangular prism has 2 triangles and 2 rectangles.
The triangles have base lengths of 25 feet and heights of 8 feet while the rectangles have lengths of 55 feet and heights of 14.8 feet.
The area of a triangle with a base length of 25 feet and a height of 8 feet [tex]= \frac{1}{2}(25)(8)= 100[/tex] square feet.
The area of two such triangles [tex]=2(100)= 200[/tex] square feet.
The area of a rectangle with a length of 55 feet and a width of 14.8 feet [tex]= 55(14.8)= 814[/tex] square feet.
The area of two such rectangles [tex]= 2(814) = 1628[/tex] square feet.
The total area to be painted [tex]=500+1100+200+1628 = 3128[/tex] square feet.
So an area of 3128 square feet is to be painted.
An area of 3128 square feet is to be painted.
The rectangular prism has a length of 25 feet, a width of 10 feet and a height 55 feet.
The triangular prism has a base length of 25 feet, a height of 8 feet, and a prism height of 55 feet.
To find:
The total area to be painted.
There are 4 external surfaces for the rectangular prism and 4 external surfaces for the triangular prism.
The rectangular prism has 4 rectangles out which there are 2 sets of similar rectangles.
There are two rectangles with lengths of 25 feet and widths of 10 feet while the other two rectangles have lengths of 55 feet and widths of 10 feet.
The area of a rectangle with a length of 25 feet and a width of 10 feet = 25(10)= 250 square ft.
The area of two such rectangles = 2(250) = 500 square feet.
The area of a rectangle with a length of 55 feet and a width of 10 feet = 55(10)= 550 square feet.
The area of two such rectangles = 2(550) = 1100 square feet.
The triangular prism has 2 triangles and 2 rectangles.
The triangles have base lengths of 25 feet and heights of 8 feet while the rectangles have lengths of 55 feet and heights of 14.8 feet.
The area of a triangle with a base length of 25 feet and a height of 8 feet = (1)/(2)(25)(8)= 100 square feet.
The area of two such triangles =2(100)= 200 square feet.
The area of a rectangle with a length of 55 feet and a width of 14.8 feet = 55(14.8)= 814 square feet.
The area of two such rectangles = 2(814) = 1628 square feet.
The total area to be painted =500+1100+200+1628 = 3128 square feet.
So an area of 3128 square feet is to be painted.
Veronica surveyed her classmates about which types of pets they own. The graph shows her data.
A circle graph titled Pets. 32 percent is dogs, 26 percent is cats, question mark is fish, 13 percent is lizards, 18 percent is no pet.
Something is missing. Veronica found the percentages of her classmates who have dogs, cats, and lizards, but she has not calculated the percentage who have fish.
What percent of her classmates own fish?
Answer:
11% own fish
Step-by-step explanation:
What is the surface area of the cylinder
Answer: 468[tex]\pi[/tex] in^2
Step-by-step explanation: