What is the approximate area of a circle with radius 6 cm?
Answer:
133 m^2
Step-by-step explanation:
to find are of a circle it’s r^2 times pi
6^2 x pi
36 pi
113 m^2
Hopes this helps please mark brainliest
Answer:
Answer C is correct
Step-by-step explanation:
The formula to find the area of a circle is:
A = πr²
Here,
r => radius = 6m
Let us find the area of the circle.
A = πr²
A = 3.14 × 6 × 6
A = 113.04 m²
Approx. = 113m²
4. Calcula la rapidez promedio de un perro que
recorre una distancia de 20 metros en 4
segundos.
Answer:
5 m/s
Step-by-step explanation:
please help me with math i’ll give you brainlist
Answer: False
Step-by-step explanation:
25% of the data is between Q1 and the median.
Summarizing allows you to focus on the important information by finding the introduction, topic sentence and
conclusion.
Please select the best answer from the choices provided
True or false
True. Summarizing allows you to focus on the important information by finding the introduction, topic sentence and conclusion.
Importance of summarySummarizing is a technique that helps to distill the main points of a text by identifying the introduction, topic sentence, and conclusion. It involves condensing the information to focus on the most important aspects and omitting unnecessary details.
This process enables the reader to grasp the core message of the text quickly and efficiently.
By summarizing, one can communicate the key ideas in a concise and clear manner, making it easier for others to understand and engage with the information presented.
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2 3/4 of 500grams in step by step calculator
Answer:
To calculate 2 3/4 of 500 grams, follow these steps:
1. Convert the mixed number to an improper fraction:
2 3/4 = (2 x 4 + 3)/4 = 11/4
2. Multiply the improper fraction by 500:
11/4 x 500 = (11 x 500)/4 = 2,750/4
3. Simplify the fraction by dividing the numerator and denominator by their greatest common factor, which is 2:
2,750/4 = (2 x 1,375)/(2 x 2) = 1,375/2
Therefore, 2 3/4 of 500 grams is equal to 1,375/2 grams or 687.5 grams.
Step-by-step explanation:
what is the equation of the graph that represents the parent function f(x) = x4 stretched vertically by a factor of 2, and then shifted down 3 spaces
Answer:
f(x) = 2x^4 - 3
Step-by-step explanation:
First multiplying by 2 giving f(x) = 2x^4 stretches it vertically by factor 2.
Then subtract 3 to move it down 3 units:
f(x) = 2x^4 - 3.
Answer:
g(x)=2x^4-3
Step-by-step explanation:
The radius of a circle is 19 cm. Find the area
Answer: 1134.11
A=3.14*r^2
Step-by-step explanation:
Answer:
a ≈ 1134.11 cm2
Step-by-step explanation:
The formula:
\(a=\pi r^{2}\)
\(a=\pi (19)^{2} =361\pi\)
\(a=1134.11cm^{2}\)
Hope this helps
Please help with this exercise:
Consider the vectors v1, v2, v3 in R2 (sketched in the
accompanying figure). Vectors v1 and v2 are parallel.
How many solutions x, y does the system
xv1 + yv2 = v3
have? Argue geometrically.
Answer:
sorryyyyyy dont knowwwwwwww
since vectors v1 and v2 are parallel, the system xv1 + yv2 = v3 will have infinitely many solutions regardless of the specific values of v1, v2, and v3.
Geometrically, this is due to the fact that v1 and v2 span the same direction in space, so any combination of x and y will still lie on the same line or in the same direction.
Since vectors v1 and v2 are parallel, they lie on the same line or are scalar multiples of each other. Let's analyze the possible cases geometrically:
1. **Vectors v1 and v2 are collinear (lie on the same line):**
In this case, any combination of x and y that satisfy the equation \(xv1 + yv2 = v3\) will lie on the same line as v1 and v2. This means there are infinitely many solutions for x and y.
2. **Vectors v1 and v2 are scalar multiples of each other:**
If v1 and v2 are scalar multiples of each other, then they represent the same direction in space. In this case, any combination of x and y that satisfy the equation will give a vector that lies on this line (spanned by v1 and v2), which is also the direction of v3. Hence, again there are infinitely many solutions.
3. **Vectors v1 and v2 are not collinear but have different directions:**
This scenario is not possible because you stated that v1 and v2 are parallel. If they have different directions, they would not be parallel.
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HELP I HAVE 10 MIN
Which of the following is a unit fraction?
10/19
1/5
8/15
1/17
Answer: 1/5 & 1/17
Step-by-step explanation:
In math, a unit fraction can be defined as a fraction whose numerator is 1. So, the only 2 answers would be 1/5, and 1/17.
Hope this helps.
Answer:
1/17 and 1/5
Step-by-step explanation:
a unit fraction is a fraction whose numerator is 1
The residents of a city voted on whether to raise property taxes. The ratio of yes votes to no votes was 5 to 8. If there were 9854 total votes, how many no votes were there?
There were approximately 6056 no votes.
Let's assume the number of yes votes is represented by the variable "5x," where x is a positive constant.
Similarly, the number of no votes can be represented by "8x" since the ratio of yes votes to no votes is 5 to 8.
The total number of votes is given as 9854, so we can set up the following equation:
\(5x + 8x = 9854\)
Combining like terms, we have:
\(13x = 9854\)
To solve for x, we divide both sides of the equation by 13:
\(x = \frac{9854 }{13}\)
\(x \approx 757.23\)
Since x represents a positive constant, we round it to the nearest whole number, giving us x = 757.
Now, we can find the number of no votes by multiplying x by the ratio of no votes:
No votes \(= 8x\)
\(= 8 \times 757\)
\(= 6056\)
Therefore, there were approximately 6056 no votes.
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what is y over 3 (y/3) = 12
Answer:
so what i would like to do is what is 12 divid by 3 and when u get ur answer that it what the y is
Answer:
36
Step-by-step explanation:
y/3=12
y=3*12
y=36
given the function that indicates the time it takes to double an investment compounded continiuosly at 6.35% then solve for t
10.9 years long will it take for $1000 to double at a 6.35% annual interest rate that is compounded every month.
Given that,
We have to find how long will it take for $1000 to double at a 6.35% annual interest rate that is compounded every month.
We know that,
P = $1000
r = 6.35% = 0.635
n=12
A = $2000
A = P(1+r/n\()^{nt}\)
2000 = 1000(1+0.635/12\()^{12t}\)
2= (1+0.635/12\()^{12t}\)
log2= log(1+0.635/12\()^{12t}\)
log2= 12t×log(1+0.635/12)
t=log2/12×log(1+0.635/12)
t≈10.9 years.
Therefore, 10.9 years long will it take for $1000 to double at a 6.35% annual interest rate that is compounded every month.
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if x + y equals to 10 and x - 2 y equals 8 what is the value of 3 y
We have this first condition given:
\(x+y=\text{ 10 (1)}\)And the second one:
\(x-2y=\text{ 8 (2)}\)If we solve for x from equation (1) we got:
\(x=\text{ 10}-y\text{ (3)}\)And if we solve for x from equation (2) we got:
\(x=\text{ 8+2y (4)}\)Now we can set equal equations (3) and (4)
\(10-y=\text{ 8+2y}\)And solving for y we got:
\(18=\text{ 3y }\rightarrow\text{ y= }\frac{18}{3}=\text{ 6}\)Final answer:
\(y=\text{ 3}\cdot6\text{ = 18}\)Write an expression to represent: 9 more than the quotient of 2 and x
Expression for given numerical is: 9+ (2/x)
Given that we have an word equation that is 9 more than the quotient of 2 and x
A quotient is a quantity produced by the division of two numbers.
Quotient of 2 and x is \(\frac{2}{x}\).
Nine(9) more than 2/x is = 9+ (2/x)
So we have an expression that is:
9+ (2/x)
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HELP ASAP PLS ANSWER THE QUESTION IN THE PIC I GIV BRAINLEST AND LOTS OF POINTS TO CORRECT ANSWER
Answer:
ABE is the answer hope this helps
A seller has a house that is 1800 square feet. The neighborhood comps show
the line of best fit to be y = 0.074x +50 48. What is a fair price for this house?
A. $150,000
B. $183.68
C. $150.00
D. $184,000
SUBMIT
A fair price for the seller's 1800 square foot house is $183.68 thousand, option B is correct
What is Equation?Two or more expressions with an Equal sign is called as Equation.
The given linear equation represents a relationship between the square footage (x) and the price (y) of houses in the neighborhood.
We can use this equation to estimate the fair price for the seller's house by plugging in the square footage (x) of the house and solving for y:
y = 0.074x + 50
y = 0.074(1800) + 50
y = 133.2 + 50
y = 183.68
Hence, a fair price for the seller's 1800 square foot house is $183.68 thousand, option B is correct
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Given that
log 2= X
log 3= y
log 7= z
Express the following expressions in terms of x, y, and z
(1) log (14/3)
(2) log 0.3
(3) log 10.5
Answer: See below
Step-by-step explanation:
Answer (1)
We must break down the expressions into factors. That is:
\(\begin{align} \log 12&=\log 4\times 3=\log 2^2\times 3\\ \log 12&=\log 2^2+\log 3=2\log 2+\log 3=2x+y\\ \end{align}\)\(\log \frac{14}{3}&=\log 14-\log 3 \\ =\log 2\times 7-\log 3\\ \\\log \frac{14}{3}& =\log 2+\log 7-\log 3 \\ =x+z-y\\\)
Answer (2)
\(\log 0.3 &=\log \frac{3}{10} \\ \\ =\log 3-\log 10 \\=y-1\)
Answer (3)
\(\log 10.5& \\ =\log \frac{21}{2} \\=\log 21-\log 2\\ \\ \log 10.5& \\ =\log 3\times 7-\log 2\\=\log 3+\log 7-\log 2\\=y+z-x\)
A TV that usually sells for $174.69 is on sale for 15% off. If sales tax on the TV is 8%, what is the price of the TV, including tax?
Answer:
the answer is 160.37
Step-by-step explanation:
174.69 -15%==148.49
148.49×8% 11.88 add that back to 148.49 =160.37
solve for x please help (show work)
Answer:
x = -1
Step-by-step explanation:
1/3(6x-3)+2(x-1) = -7
Distribute
2x-1 +2x-2 = -7
Combine like terms
4x -3 = -7
Add 3 to each side
4x-3+3 = -7+3
4x = -4
Divide by 4
4x/4 = -4/4
x = -1
\( \frak{ \frac{1}{3}(6x - 3) + 2(x - 1) = - 7}\)
\(\twoheadrightarrow \frak{2x - 1 + 2x - 2 = - 7}\)
\(\twoheadrightarrow \frak{4x - 3 = - 7}\)
\( \twoheadrightarrow \frak{4x = - 7 + 3}\)
\(\twoheadrightarrow \frak{4x = - 4}\)
\(\star \: \underline{ \boxed{ \frak \green{{x = - 1}}}}\)
What is the value for x
What is the value for y
Answer:
y=155, x=65
Step-by-step explanation:
y+25=180
y=155
y=90+x
155=90+x
x=65
if my answer helped please mark as brainliest.
The required measure of angles x and y are 65° and 155° respectively.
Following the given figure, to determine the value of y and x.
In the figure angles y and 25° are supplementary angles, while x, 90°, and 25° are the angles of a triangle.
To determine y, follow the property of supplementary angle:
y + 25 = 180
y = 180 - 25
y = 155°
To determine x, follow the property of the triangle,
x + 90 + 25 = 180
x = 90 - 25
x = 65
Thus, the required measure of angles x and y are 65° and 155° respectively.
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What is the range of the data?
A number is chosen from the set {1, 2, 3, 4,..., 18). What is the probability that the number is a factor of 6?
• 1/2
0 2/3
0 2/9
0 3/8
0 4/5
Answer:
2/9
Step-by-step explanation:
set: 1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18 (18 numbers)
factors of 6: 1,2,3,6 (4 numbers)
probabilty that the number is a factor of 6: 4/18 = 2/9
Lauder Company had fixed costs of $282,500, variable costs of $645,000, and actual sales amounted to $1,100,000. If the company has a break-even point at $750,000 in sales revenue.a. determine the margin of safety expressed in dollars
b. determine the margin of safety expressed as a percentage of sales. Enter percentage amount as a whole number.
____%
c. Determine contribution margin ratio
_____%
d. Determine the operating income
$______
The Operating income is $172,500.
To calculate the margin of safety, contribution margin ratio, and operating income, we need to use the given information.
a. Margin of Safety:
Margin of Safety = Actual Sales - Break-even Sales
Given that the break-even point is at $750,000 in sales revenue and actual sales are $1,100,000, we can calculate the margin of safety:
Margin of Safety = $1,100,000 - $750,000 = $350,000
Therefore, the margin of safety is $350,000.
b. Margin of Safety as a Percentage of Sales:
Margin of Safety Percentage = (Margin of Safety / Actual Sales) * 100
Using the values from the previous calculations:
Margin of Safety Percentage = ($350,000 / $1,100,000) * 100 = 31.82%
Therefore, the margin of safety expressed as a percentage of sales is approximately 31.82%.
c. Contribution Margin Ratio:
Contribution Margin Ratio = (Contribution Margin / Sales) * 100
To calculate the contribution margin, we need to subtract variable costs from sales:
Contribution Margin = Sales - Variable Costs = $1,100,000 - $645,000 = $455,000
Using the values, we can calculate the contribution margin ratio:
Contribution Margin Ratio = ($455,000 / $1,100,000) * 100 = 41.36%
Therefore, the contribution margin ratio is approximately 41.36%.
d. Operating Income:
Operating Income = Sales - Variable Costs - Fixed Costs
Using the values provided:
Operating Income = $1,100,000 - $645,000 - $282,500 = $172,500
Therefore, the operating income is $172,500.
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Simplify fractions
3\10
1/8
Answer:
Already simplified
Step-by-step explanation:
Answer:
Step-by-step explanation:
its preety simple you just have to divide 3/10 and 1/8 and you will get your two answers
5. Based on recent results, scores on the SAT test are normally distributed with a mean of 1511 and a standard deviation of 312. Scores on the ACT test are normally distributed with a mean of 21.1 and a standard deviation of 5.1. Assume that the two tests use different scales to measure the same aptitude. If someone gets an SAT score that is in the 95th percentile, find the actual SAT score and the equivalent ACT score.
Answer:
The actual SAT score is 2024.
The equivalent ACT score is 29.49.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean \(\mu\) and standard deviation \(\sigma\), the z-score of a measure X is given by:
\(Z = \frac{X - \mu}{\sigma}\)
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
SAT score that is in the 95th percentile
Scores on the SAT test are normally distributed with a mean of 1511 and a standard deviation of 312, which means that \(\mu = 1511, \sigma = 312\)
95th percentile is X when Z has a pvalue of 0.95, so X when Z = 1.645. The score is:
\(Z = \frac{X - \mu}{\sigma}\)
\(1.645 = \frac{X - 1511}{312}\)
\(X - 1511 = 1.645*312\)
\(X = 2024\)
The actual SAT score is 2024.
Equivalent ACT score:
The equivalent ACT score is the 95th percentile of ACT scores.
Scores on the ACT test are normally distributed with a mean of 21.1 and a standard deviation of 5.1, which means that \(\mu = 21.1, \sigma = 5.1\). So
\(Z = \frac{X - \mu}{\sigma}\)
\(1.645 = \frac{X - 21.1}{5.1}\)
\(X - 21.1 = 1.645*5.1\)
\(X = 29.49\)
The equivalent ACT score is 29.49.
Find the measure of the third interior angle of a triangle, given the measure of two angles.
62 and 24 and ______
We know that the sum of the internal angles is equal to 180°, then we write and solve a linear equation to see that the missing angle is 94°.
How to find the measure of the third angle?Remember that for any triangle, we know that the sum of the interior angles is equal to 180°.
In this case we know that two of the angles have a measure of 62° and 24°, and if the third angle is x, then we can write the linear equation:
62° + 24° + x = 180°
To solve this we need to isolate x, we will get:
x = 180° - 24° - 62°
x = 94°
So the measure of the third interior angle is 94 degrees.
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Evaluate f(x)=7cos2x f(-pi/4)
\(f(x)=7\cos(2x)\hspace{5em}f\left( -\frac{\pi }{4} \right)=7\cos\left( -\frac{\pi }{4} \right) \\\\\\ f\left( -\frac{\pi }{4} \right)=7\left( \frac{\sqrt{2}}{2} \right)\implies f\left( -\frac{\pi }{4} \right)=\cfrac{7\sqrt{2}}{2}\)
1. Last year the price of a college textbook(b) was $197. This year the price will be 13% higher. Which expression shows the difference in price from last year to this year? 1. b * 0.13 B. b.1.13 C.b-0.13 D.b - 13
B) b*1.13
1) Since the College textbook's price has been raised up 13%, then we can write:
b(1 +0.13)
b(1.13)
Plugging b = $197 we have:
197(1 +0.13)
197 (1.13)
$222.61
2) So the factor that expresses that difference (13% up) is 1.13
For 1 is equivalent to 100% and 0.13 to 13%
3) Hence, the answer is b* 1.13 calling b that $197.
Which statement is not true of lone plots? Please help I will give brainliest
Answer:
The answer is b
Step-by-step explanation:
A is true because an outliner is a number that is much lesser or greater than the rest it creates a gap.
C is true because data must be sorted for all sorts of graphs to work.
D is true as line plots work by the amount of marks for each number of something. Therefore, the number of marks shows the size of the data.
Show 24÷1/4 step by step
Answer:
96
Step-by-step explanation:
24 divided by 1/4 is 96
you turn 24 into a fraction by putting a one under is and then you keep it change it flip it
24/1 Divided by 1/4
24/1 times 4/1
24 times 4= 96
1 times 1= 1
96/1=96