Answer:
The ones that are checked are correct, I think they are they ones you chose.
(5+ root 3)(5-root 3)/ root 22
Answer:
\(\sqrt{22}\)
Step-by-step explanation:
\(\frac{(5-\sqrt{3})(5+\sqrt{3})}{\sqrt{22}} \\ \\ =\frac{5^2-3}{\sqrt{22}} \\ \\ =\frac{22}{\sqrt{22}} \\ \\ =\sqrt{22}\)
The Solution of the Expression is √22
Expressions in math are mathematical statements containing numbers or variables, or both, connected by an operator in between. The mathematical operators can be of addition, subtraction, multiplication, or division.
Given,
Let the given expression x
\(x = \frac{(5 + \sqrt{3})(5 - \sqrt{3} )}{\sqrt{22} }\)
Simplifying the expression,
\(x = \frac{(5)^{2} + (\sqrt{3})^{2}}{\sqrt{22} }\)
Multiplying the numerator ,
\(x = \frac{(5)^{2} - (\sqrt{3})^{2}}{\sqrt{22} }\)
Opening square brackets,
\(x = \frac{25 - 3}{\sqrt{22} }\)
\(x = \frac{22}{\sqrt{22} }\)
\(x = \frac{(\sqrt{22})^{2}}{\sqrt{22} }\)
Cancelling √22 from numerator and denominator
\(x = \sqrt{22}\)
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Which shapes have 4 sides and 4 vertices?
Answer:
A quadrilateral has 4 sides, 4 angles and 4 vertices.
hi! please help in math!
i need the solution/explanation on how you got the answer
(y + 3) = -8(x - 4)
what is the slope?
Answer:
Slope: -8/3
Step-by-step explanation:
y + 3 = -8 (x-4)
y+3 = -8x + 32
y = -8/3x + 29
Therefore, the slope is -8/3.
The slope is :
↬ -8Solution:
Givens :
\(\bf{(y+3=-8(x-4)}\)To determine the slope, it's important to know the form of the equation first.
The forms are:
Slope Intercept (y = mx + b)Point slope (y-y₁) = m(x - x₁)Standard form (ax + by = c)This equation matches point slope perfectly.
\(\rule{350}{4}\)
Point slopeIn point slope, m is the slope and (x₁, y₁) is a point on the line.
Similarly, the slope of \(\bf{y+3=-8(x-4)}\) is -8.
Extra info
The point of the line is \(\bf{(4,-3)}\).
Hence, the slope is -8.Linda had 90 fliers to post around town. Last week, she posted 1/5 of them. This week, she posted 1/3 of the remaining fliers. How many fliers has she still not posted?
The number of fliers that she has still not broadcasted will be 48 fliers.
What is Algebra?Algebra is the study of ideational characters, while logic is the manipulation of all those opinions.
Linda had 90 fliers to post around town. Last week, she posted 1/5 of them. Then the number of fliers staying is given as,
⇒ (1 - 1/5) x 90
⇒ (4/5) x 90
⇒ 72 fliers
This week, she posted 1/3 of the remaining fliers. Then the number of fliers that she has still not broadcasted is given as,
⇒ (1 - 1/3) x 72
⇒ (2/3) x 72
⇒ 48 fliers
The number of fliers that she has still not broadcasted will be 48 fliers.
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Question
The table shows the balance of an account each year. Years Balance
0 $40
1 $42
2 $44
3 $46
What is the interest rate of the account? What is the balance after 10 years?
Interest rate:
%
Balance after 10 years: $
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The balance after 10 years based on an interest rate of 5.25% will be $461.25.
The interest rate of the account can be calculated by using the formula I = P × R × T, where I is the interest amount, P is the original principal amount, R is the annual interest rate, and T is the time in years.
Using this formula, we can calculate the interest rate as follows:
I = 422 - 401 = 21
P = 401
T = 1
R = I / (P × T) = 21 / (401 × 1) = 0.0525
Therefore, the interest rate of the account is 5.25%.
To calculate the balance after 10 years, we can use the formula A = P(1 + rt), where A is the final amount (balance after 10 years), P is the original principal amount, r is the interest rate, and t is the number of years.
Using this formula, we can calculate the balance after 10 years as follows: A = 401(1 + 0.0525 × 10) = 461.25
Therefore, the balance after 10 years will be $461.25.
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Pls help, What is X equal to?
Answer:
-55
Step-by-step explanation:
During a snowstorm, Madeline tracked the amount of snow on the ground. When the storm began, there were 3 inches of snow on the ground. Snow fell at a constant rate of 1 inch per hour until another 2 inches had fallen. The storm then stopped for 3 hours and then started again at a constant rate of 2 inches every 3 hours for the next 9 hours. When the storm stopped again, the sun came out and melted the snow for the next 2 hours at a constant rate of 3 inches per hour. Make a graph showing the inches of snow on the ground over time using the data that Madeline collected.
The graph depicts that at the end of the snowstorm, there was 5 inches of snow left. See the attached graph.
How many hours did the snow fall?It is not be noted that the total amount of hours which the snow fell is:
2 + 9 = 11 hours.
Although the graph depicts a peak of 14 hours, recall that there were three hours when the snow didn't fall.
While the maximum depth of the snow was 11 inches.
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Figure 12.6 England's and Portugal's trading posibilitoes lines. If Portugal sends out 30 units of wine, it will get back ________ units of cloth.
England's and Portugal's trading possibilities lines, it is not possible to determine the exact number of units of cloth that Portugal would get back when sending out 30 units of wine.
The trading possibilities lines represent the trade-offs between different goods in a given economy and provide information about the exchange ratios between those goods.
Without the specific data from the figure, it is not possible to calculate the exact exchange ratio or determine the number of units of cloth Portugal would receive in return for 30 units of wine.
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A bake shop sells twenty different kinds of pastries. Twelve of them were chocolate. Zack randomly buys eight kinds of pastries. What is the chance that four of them will be chocolate
Answer:
Just look at the other answer
Step-by-step explanation:
I need help with 3,b
Alicia estimates that the surface area of a rectangular prism with a length of 11 meters,a width of 5. 6 meters,and a height of 7. 2 meters is about 334 cubic meters. Is her estimate reasonable?Explain your reasoning
Alicia's estimate of the surface area of the rectangular prism is not reasonable based on her miscalculation of the volume.
To determine whether Alicia's estimate of the surface area of the rectangular prism is reasonable, we first need to check if her calculation of the volume of the rectangular prism is correct.
The formula for calculating the volume of a rectangular prism is:
Volume = length x width x height
Substituting the given values in the formula, we get:
Volume = 11 meters x 5.6 meters x 7.2 meters
Volume = 449.28 cubic meters
As we can see, Alicia's estimate of 334 cubic meters is significantly lower than the actual volume of the rectangular prism, which is 449.28 cubic meters. Therefore, her estimate of the surface area is likely to be incorrect as well.
It is also important to note that the problem statement asks about the estimate of the surface area, not the volume. However, since the formula for calculating the surface area of a rectangular prism also involves the dimensions of length, width, and height, it is highly likely that Alicia's estimate of the surface area would also be incorrect given her miscalculation of the volume.
In conclusion, Alicia's estimate of the surface area of the rectangular prism is not reasonable based on her miscalculation of the volume.
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A model boat i 15 inche long if the boat i bulit to a cale of 1 : 250 inche how long i the real boat
define a variable
write a porortion
olve the porportion
anwer with word
If the scale of drawing is 1 inches : 250 inche and the real horse height is 15 inche, then the height of the horse in drawing is 0.06 inches.
What does a scale look like in math?The ratio that describes the relationship between the true figure itself and model is called the scale. It serves as a representation of the real statistics in smaller units on maps. A scale of 1:5, for instance, indicates that 1 on the map is approximately the size of 5 in the actual world.
Briefing:The scale of drawing the horse = 1 inch :
Therefore in scale
Horse height in drawing equals one inch
The height of the horse = 250 inche
The original height of the horse = 15 inche
The height in the picture = x inches
To find the height the horse in the picture, we have to use proportion
1 inch : 250 inche = x inches : 15 inche
1 / 250 = x / 15
1 × 15= 250x
250x = 15
x = 15/250
x = 0.06 inches
Therefore, the height of the horse in drawing is 0.06 inches
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7. Ifa = 3an * db = - 2 . find the values of: (a + b)ab
The Values of (a+b)ab are undefined.
Given that, a = 3an and db = -2We need to find the values of (a+b)
Now, we have a = 3an... equation (1)Also, we have db = -2... equation (2)From equation (1), we get: n = 1/3... equation (3)Putting equation (3) in equation (1), we get: a = a/3a = 3... equation (4)Now, putting equation (4) in equation (1), we get: a = 3an... 3 = 3(1/3)n = 1
From equation (2), we have: db = -2=> d = -2/b... equation (5)Multiplying equation (1) and equation (2), we get: a*db = 3an * -2=> ab = -6n... equation (6)Putting values of n and a in equation (6), we get: ab = -6*1=> ab = -6... equation (7)Now, we need to find the value of (a+b).For this, we add equations (1) and (5),
we get a + d = 3an - 2/b=> a + (-2/b) = 3a(1) - 2/b=> a - 3a + 2/b = -2/b=> -2a + 2/b = -2/b=> -2a = 0=> a = 0From equation (1), we have a = 3an=> 0 = 3(1/3)n=> n = 0
Therefore, from equation (5), we have:d = -2/b=> 0 = -2/b=> b = ∞Now, we know that (a+b)ab = (0+∞)(0*∞) = undefined
Therefore, the values of (a+b)ab are undefined.
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The quotient of 2 and a number.
Answer:
it should be the variable divided by 1. For example, x/2.
81x^6-(y+1)^2 what are the U and V
The simplified form of the expression \(81x^6 - (y + 1)^2\) in terms of U and V is 729x^6 - V^2.
In this question, we are given specific values for U and V and asked to express the given expression in terms of those values.
To simplify the expression using the given values, we substitute \(U = 3x^3\)and V = y + 1 into the original expression:
\(81x^6 - (y + 1)^2\)
Replacing U and V:
\(81(3x^3)^2 - (V)^2\)
Simplifying:
\(81 \times 9x^6 - V^2\)
\(729x^6 - V^2\)
Therefore, the simplified form of the expression \(81x^6 - (y + 1)^2\) in terms of U and V is\(729x^6 - V^2.\)
In this way, we can represent the original expression in a simplified form using the assigned values for U and V.
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Consider the expression: \(81x^6 - (y + 1)^2\)
If\(U = 3x^3\) and V = y + 1, what is the simplified form of the expression in terms of U and V?
In this question, we are given specific values for U and V and asked to express the given expression in terms of those values.
F
21. Sarah is designing a necklace with 12 platinum spherical beads that each have a radius of 7
millimeters. She has 350 grams of platinum to use. Pure platinum has a mass is 21.5 grams
per cubic centimeter. Sarah claims she have enough make the 12 spherical beads.
(Hint: 1mm 0.1cm)
OA. True
OB. False
=
False. Sarah does not have enough to make 12 spherical beads.
Volume of a sphereVolume of one platinum spherical bead:
V = (4/3)π\(r^3\)V = (4/3) x π x \(7^3\)V = 4/3 x 22/7 x \(7^3\)V = 1437.33 \(mm^3\) or 1.43733 \(cm^3\)The mass of one platinum spherical bead can be calculated by multiplying its volume by the density of platinum:
m = volume x density
m = 1.43733 × 21.5
m = 30.91 g
So, the total mass of 12 platinum spherical beads is:
12 × 30.91 g = 370.92 g
Since Sarah only has 350 g of platinum, she does not have enough to make the 12 spherical beads.
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Is this argument VALID or INVALID?
Consider this argument:
If you study then you will pass the test. You didn't study, therefore you will not pass.
Answer
Valid
Step-by-step explanation:
I had no idea what i was answering sorry
Answer:
yes
Step-by-step explanation:
its mostly common sense if you don't study for something you're 99% garrenteed to fail where as if you study you are more prepared and understand the material ahead of time so you have a greater chance of passing.
8 times something is 100
Answer:
that would be 12.5
Step-by-step explanation:
Use the formula A = 12 h(b1 + b2) to find the area of the trapezoid. A trapezoid with bases of length 5 centimeters and 9 centimeters, and a height of 3 centimeters. The area of the trapezoid is Choose... square centimeters.
Answer:
21 cm^2
Step-by-step explanation:
A = 1/2 x 3 cm (5 cm + 9 cm)
A = 1/2 x 3 cm x 14 cm
A = 21 cm^2
Please help, I’ll mark your answer as brainliest.
Answer:
x² - 9x + 4
Step-by-step explanation:
1- Formulate
2- Operations of functions
3- Determine the sign
4- Combine like terms
5- Rewrite the expression
6) The weights of five students are as follows. Find their
median weight.
48kg, 59kg, 43kg 63kg, 52kg
Answer:
52kg
Step-by-step explanation:
If you put the numbers in order from least to greatest you get:
43, 48, 52, 59, 63. The median is the one in the middle. So you get 52 is the median
Answer:
Hey here's ur answer
Step-by-step explanation:
Hope it helps
The number 512 is a perfect cube because 512 = 83.
Which number below is also a perfect cube?
300
125
150
256
Step-by-step explanation:
the number which is a perfect cube :
125, because 125 = 5³
Regina wants to buy an Oculus Quest 2 so she can play virtual reality games with her friends. The Oculus costs $400. Regina has already saved $250, and she earns $10 an hour babysitting on the weekends. Write a linear inequality to represent how many hours, h, Regina will have to babysit before she has enough money to buy the Oculus.
A linear inequality to represent how many hours, h, Regina will have to babysit before she has enough money to buy the Oculus is,
10h + 250 ≥ 400.
What are inequalities and their types?Inequality is a relation that compares two numbers or other mathematical expressions in an unequal way.
The symbol a < b indicates that a is smaller than b.
When a > b is used, it indicates that a is bigger than b.
a is less than or equal to b when a notation like a ≤ b.
a is bigger or equal value of an is indicated by the notation a ≥ b.
Given, The Oculus costs $400.
Regina has already saved $250, and she earns $10 an hour babysitting on the weekends.
Assuming no. of hours to be h.
∴ A linear inequality to represent how many hours, h, Regina will have to babysit before she has enough money to buy the Oculus is,
10h + 250 ≥ 400.
10h ≥ 150.
h ≥ 15
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Graph the equation.
y= -3/8(x+5)(x-3)
Please show a picture
Answer:
Step-by-step explanation:
y= -3/8(x+5)(x-3)
Answer: I posted the picture, just to help you out in future, you can use the app named desmos to graph, and it’s actually a calculator (even more better than the normal calculator)
Step-by-step explanation:
Kate takes 48 minutes to get to the park. If she gets to the park at 2:32, what time did she leave for the park? Move numbers to the lines to show the answer
Answer:
Kate will have left for the park at 1:44.
Step-by-step explanation:
Take the time of arrival, 2:32, and the time it took to arrive at the park, 48 minutes.
From there, work within the span of one hour, because time works in units of 60, and our numbers don't.
So, you have 0:32 - 0:48 = - 16.
We have to "borrow" from the previous hour, 1.
So, 0:60 - 16 = 44.
Which makes our time of arrival 1:44.
Peter, Gordon and Gavin share £36 in a ratio 2:1:1. How much money does each person get?
Answer: let the common multiple be x..
according to given condition,
2x + x +x =36
4x = 9
Peter = 2x = 2 ×9 = £18
Gordon = Gavin = x = £9
Hope this helps have a amazing day bye!
A line that has a slope of 1/2 and passes through the point (-4,7)
Answer:
y= ½x+9
Step-by-step explanation:
Use desmos makes it easier
why is this so got dam fake
Answer:
Not sure, is there a problem or only the rant? lol. I'd appreciate my first brainliest though.
Step-by-step explanation:
It takes 4 people 2 days to build a wall.
How long would it take for 2 people to build the same wall.
Give your answer in days.
Answer:
I believe it would be 8 days.
Step-by-step explanation:
The table shows the heights, in inches, of players on a girls’ basketball team. What is the mean height, rounded to the nearest whole number if necessary? 66 68 69 70.
The mean height of the players on the girls' basketball team, rounded to the nearest whole number, is 68 inches.
The mean height of the players on the girls' basketball team, rounded to the nearest whole number, is X inches.
To find the mean height, we sum up the heights of all the players and divide it by the total number of players.
Given the heights of the players: 66, 68, 69, and 70 inches, we can calculate the mean height.
66 + 68 + 69 + 70 = 273
Next, we divide the sum of the heights by the total number of players, which is 4 in this case.
273 / 4 = 68.25
Rounding the mean height to the nearest whole number, we get X = 68 inches.
Therefore, the mean height of the players on the girls' basketball team, rounded to the nearest whole number, is 68 inches.
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