Answer:
8 people
Step-by-step explanation:
Isolate the information you need, which is the portion of banana cake votes (3/11), the portion of chocolate cake votes (2/11), and the total number of votes. Multiply each NEEDED portion by 88 to get the number of votes for each cake.
3/11 * 88 = 24 votes for banana cake
2/11 * 88 = 16 votes for chocolate cake
Finally, the question asks for how many more votes there were for banana cake than chocolate cake, so just subtract 16 from 24 (24 - 16 = 8) so your answer is 8 more votes, or 8 people (who voted).
Write the following in slope-intercept form.
Answer:
\(\huge\boxed{y=4x-7}\)
Step-by-step explanation:
Linear equations will always be in the form \(y=mx+b\), where m is the slope and b is the y-intercept
Since we know nothing about this equation, other than the fact that there are two points in it, we must find the slope and the y-intercept.
Luckily, we have two points to work with. We know that the slope between two points will be the change in y divided by the change in x (\(\frac{\Delta y}{\Delta x}\)), so we can use the two points given to us to find both changes.
The y value goes from 1 to 17, which is a \(17-1=16\) change.
The x value goes from 2 to 6, which is a \(6-2=4\) change.
Now that we know both changes, we can divide the change in y by the change in x.
\(\frac{16}{4}=4\)
Now that we know the slope (4), we can plug it into our equation (\(y=mx+b\)).
\(y=4x+b\)
Now all we need to do is find the y-intercept. Since we know the slope and one of the points the line passes through, we can find the y-intercept by substituting in the values of x and y. Let's use the point (2, 1).
\(1 = 4(2) + b\)\(1 = 8+b\)\(b = 1-8\)\(b = -7\)Therefore our y-intercept is -7. Now that we know the slope and the y-intercept, we can plug it into our equation.
\(y=4x-7\)
Hope this helped!
22 * 2\(\left \{ {{y=2} \atop {x=2}} \right. \int\limits^a_b {x} \, dx \lim_{n \to \infty} a_n \left[\begin{array}{ccc}1&2&3\\4&5&6\\7&8&9\end{array}\right] \left[\begin{array}{ccc}1&2&3\\4&5&6\\7&8&9\end{array}\right] \alpha \pi \neq \sqrt{x} x^{2} \geq \leq\)
Answer:
44 i think :|
Consider the rectangular prism.What is the surface area of the rectangular prism?
124 in
208 in
240 in
248 in
Answer: 240 in 2
Step-by-step explanation:
just did it
If g(x) and f(x) are inverse functions, which graph represents g(x)?
--6-5 1-3-2-1 1 2 3 4 5 6
Mark this and return
7 7 7 7 4
Save and Exit
Next
Submit
Answer:
A) 2nd graph
Explanation:
The 1st graph shows a radical expression, where:
to find the inverse, replace f(x) with y, switch the x and the y, then solve for y. The only graph showing exponential growth is the 2nd graph (note how at 1 it's 1, at 2 it's 4, at 3 it will be 9, etc.)
3.65 g of Ca and 3.65 g of F Express your answers using one decimal place separated by a comma. Part B 0.340 g of Na and 0.200 g of O Express your answers using one decimal place separated by a comma. 12.8 g of K,17.2 g of Mn, and 20.3 g of O Express your answers using one decimal place separated by commas.
The molar mass of
a) Ca: 0.1 mol, F: 0.2 mol
b) Na: 0.0 mol, O: 0.0 mol
c) K: 0.3 mol, Mn: 0.3 mol, O: 1.3 mol.
a) The molar mass of calcium (Ca) is approximately 40.1 g/mol, and the molar mass of fluorine (F) is approximately 19.0 g/mol.
To calculate the number of moles for each element:
- Moles of Ca = 3.65 g / 40.1 g/mol ≈ 0.091 mol
- Moles of F = 3.65 g / 19.0 g/mol ≈ 0.192 mol
Expressed using one decimal place and separated by a comma, the results are:
- Moles of Ca: 0.1
- Moles of F: 0.2
b) The molar mass of sodium (Na) is approximately 23.0 g/mol, and the molar mass of oxygen (O) is approximately 16.0 g/mol.
To calculate the number of moles for each element:
- Moles of Na = 0.340 g / 23.0 g/mol ≈ 0.015 mol
- Moles of O = 0.200 g / 16.0 g/mol ≈ 0.013 mol
Expressed using one decimal place and separated by a comma, the results are:
- Moles of Na: 0.0
- Moles of O: 0.0
c) The molar mass of potassium (K) is approximately 39.1 g/mol, the molar mass of manganese (Mn) is approximately 54.9 g/mol, and the molar mass of oxygen (O) is approximately 16.0 g/mol.
To calculate the number of moles for each element:
- Moles of K = 12.8 g / 39.1 g/mol ≈ 0.327 mol
- Moles of Mn = 17.2 g / 54.9 g/mol ≈ 0.313 mol
- Moles of O = 20.3 g / 16.0 g/mol ≈ 1.269 mol
Expressed using one decimal place and separated by commas, the results are:
- Moles of K: 0.3
- Moles of Mn: 0.3
- Moles of O: 1.3
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I need help with the last question please.Identify the zeros of the function below.
Given the graph of a function, you need to remember that, by definition, the zeros of a function are the x-intercepts (where the function intersects the x-axis).
In this case, you can identify that the function intersects the x-axis at these points (approximately):
\(\begin{gathered} (1,0) \\ (4,0) \end{gathered}\)Therefore, the roots are, approximately:
\(\begin{gathered} x_1\approx1 \\ x_2\approx4 \end{gathered}\)Hence, the answer is:
\(\begin{gathered} x_1\approx1 \\ x_2\approx4 \end{gathered}\)why is paying back along with a nominal interest rate of 13.62% if the interest is compounded quarterly, how much greater is white effective interest rate than his nominal interest rate
The required white effective interest rate is 0.71% more than his nominal interest rate.
What is compound interest?Compound interest is the interest on deposits computed on both the initial principal and the interest earned over time.
Here,
White Effective interest R,
\(R=(1+i/m)^m)-1\\R=(1+0.1362/4)^4)-1\\R =0.1433*100=\)
R = 14.33 percent
So
Difference in interest = 14.33%-13.62%
=0.71%
Thus, the required white effective interest rate is 0.71% more than his nominal interest rate.
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The stock was worth $85. What will the stock be worth in 7 years? WhThe value of πPhone stock has increased 8% each year for the past several years. In 2020,at was the stock worth in 2016? Equation: 7 years from now? In 2016?
Answer:
Part A
The worth of the stock in 7 years is approximately $145.68
Part B
The worth of the stock in 2016 is approximately $62.48
Part C
f(7) = 85 × (1 + 0.08)⁷
Part D
85 × (1 + 0.08)⁻⁴
Step-by-step explanation:
Question
"The value of the πPhone πhas increased 8% each year for the past several years. In 2020, the stock was worth $85. What will the stock be worth in 7 years? What was the stock worth in 2016? Equation: 7 years from now? in 2016?"
The equation for the growth of the stock to a final amount f(x) is given by the general equation for exponential growth as follows;
\(f(t) = a \cdot (1 + r)^t\)
Where, in relation to the stocks;
f(t) = The value of the stocks after 't' years
a = The initial amount of the stocks
r = The rate of growth of the stock = 8%
t = The number of years of growth
Part A
The worth of the stock in 7 years, f(7), is found as follows;
The (initial) value of the stock in 2020, a = $85
The rate of increase in the value of the stock = The growth rate of the stock, r = 8% = 8/100 = 0.08
The number of years of growth, t = 7 years
We get;
f(7) = 85 × (1 + 0.08)⁷ ≈ 145.68
The worth of the stock in 7 years, f(7) ≈ $145.68
Part B
The value of the stock in 2016 is found as follows;
The number of years between 2020 and 2016 = 2016 - 2020 = -4 (years)
Here, let 'f(t)' represent the value of the stock in 2016, and therefore, we have;
t = -4 years
r = 8% = 0.08
a = The value of the stock in 2020 = $85
Plugging in the values gives;
f(-4) = 85·(1 + 0.08)⁻⁴ = 85 × (1.08)⁻⁴ ≈ 62.48
The value of the stock in 2016, f(-4) ≈ $62.48.
Part C
The equation for 7 years from now is f(7) = 85 × (1 + 0.08)⁷
Part D
The equation for 2016 is f(-4) = 85 × (1 + 0.08)⁻⁴.
in your class there are 48 student; 32 students are female. approximately what percentage is male?
Answer:
33.33%----------------
Number of male is the difference of total and female:
48 - 32 = 16Percentage of male:
16/48 × 100% = 1/3 × 100% = 33.33%Answer:
33.33%
Step-by-step explanation:
First, let us find the number of male students.
Total students = Male students + Female students
Male students = Total students - Female students
Male students = 48 - 32
Male students = 16
Then, let us find the percentage of males.
\(\sf Percentage\:of\: males=\dfrac{No.\:of\:males}{Total\:number\:of\:students} *100\\\\\sf Percentage\:of\: males=\dfrac{16}{48} *100\\\\\sf Percentage\:of\: males=0.3333 *100\\\\\sf Percentage\:of\: males=33.33\)
what is the conjugate of √3-√2
Answer:
3 + √2 best believe it haha
Solve the inequality’s
1) 2n+ 8 > 12
2) 6n - 5 < 55
3) 3/4n + 1 < 10
Answer:
1. n>2
2. n<10
3.n<12
Hope I can be brainliest :)
1) 2n+ 8 > 12 = n > 2
2) 6n - 5 < 55 = n < 10
3) 3/4n + 1 < 10 = n < 12
if the slope of a line 4/9 the slope of a line perpendicular to this would be
Answer:Use the slope-intercept form to find the slope.
m=4
The equation of a perpendicular line to
y
=
4
x
−
9
must have a slope that is the negative reciprocal of the original slope.
m
perpendicular
=
-1/4
Step-by-step explanation:
hii lily how are u
In an investigation on accuracy and precision, Myriah measures the mass of a 10. 00 g piece of metal several times. Her measurements are 9. 98 g, 10. 02 g, 10. 01 g, and 9. 99 g. Which statement best describes her results? They are both precise and accurate. They are neither accurate nor precise. They are precise but not accurate. They are accurate but not precise.
In an investigation on accuracy and precision, Myriah measures the mass of a 10. 00 g piece of metal several times. Her measurements are 9. 98 g, 10. 02 g, 10. 01 g, and 9. 99 g. The statement that best describes Myriah's results is that they are precise but not accurate.
Accuracy refers to how close a measured value is to the true or accepted value. Precision refers to the degree of agreement among repeated measurements. The mean of her measurements is: (9.98 g + 10.02 g + 10.01 g + 9.99 g) / 4 = 9.25 g. The results are precise because they are close together, and the mean value was calculated to the nearest hundredth of a gram. The measurements, on the other hand, were not accurate because they were all significantly less than the true value of 10.00 g.
To find the measure of angle A, place the protractor so that the base of the angle is aligned with the bottom line of the protractor. Then, read the measurement where the other side of the angle intersects the protractor. In this case, angle A intersects the protractor at 45 degrees. To find the measure of angle B, place the protractor so that the base of the angle is aligned with the bottom line of the protractor. Then, read the measurement where the other side of the angle intersects the protractor. In this case, angle B intersects the protractor at 120 degrees. Therefore, the measure of angle A is 45 degrees, while the measure of angle B is 120 degrees.
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Please help, will give brainliest. I think I know the answer, but I don't know how to get past: \(\frac{\sqrt{-4a}}{\sqrt{2a}}\)
Answer: I believe it is 2, not -2.
Oksana wrote the equation below on the whiteboard. 6 b 6 = 48 what is the value of b? 4 7 8 9
The correct answer is 7.
What is linear equation ?A linear equation only has one or two variables. In a linear equation, no variable can be multiplied by a value greater than one or used as the denominator of a fraction. When you find the values that collectively make a linear equation true and plot those values on a coordinate grid, all the points fall on the same line.
I am aware that this query's equation is,
6b + 6 = 48
subtract 6 from both side in the equation.
6b + 6 - 6 = 48- 6
6b = 42
now, divide by 6 from both side in the equation.
6b/6 = 42/6
b = 7.
Therefore, the correct answer is 7.
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I understand this is the question.
Oksana wrote the equation below on the whiteboard.
6 b + 6 = 48
What is the value of b?
(a)4
(b)7
(c)8
(d)9
A list is made of all possible 2-digit whole numbers that result from using only the digits 1,3,5, and 7 in both the
ones and tens place, with duplications allowed. How many whole numbers in the list are prime numbers?
A.6
B.7
C.8
D.9
E.10
Can some one help me with this question its hard :( down below ill give brainliest
Answer: The answer would be C
Step-by-step explanation:
You want to divide. 15/3= 5 and then a^3 is basically being divided by 1 so your completed answer would be 5a^3
Two positive numbers have a difference of 8. The larger number is two more than twice the smaller. Find the two numbers
Let the bigger number be 'p' and the smaller number 'p'.
Since the numbers have a difference of 8, then p - q = 8
& since the larger number is two more than twice the smaller, then
p = 2q + 2
⇒ (2q + 2) - q = 8 [by substituting for equation for p]
q = 6
Since q = 6,
⇒ p - 6 = 8
p = 14
∴ the smaller number is 6 and the bigger 14
Pablo bought chocolate bars that were divied into 8 equal pieces. If Pablo has eaten 20 pieces of chocolate, what is the fractionof chocolate bars he has eaten?
Answer:
Pablo has eaten 2 1/2 chocolate bars.
Step-by-step explanation:
We know that:
- Each bar was divided into 8 equal pieces
- Pablo ate 20 pieces
So, we can find the chocolate bars that he has eaten as follows:
\( f = \frac{1 \: bar}{8 \: pieces}*20 \: pieces = 2.5 \: bars = 2\frac{1}{2} \: bars \)
Hence, Pablo has eaten two and a half of chocolate bars expressed as 2 1/2 as a mixed fraction.
I hope it helps you!
2. A 4-oz. steak contains 700 mg of potassium. It is recommended for the average person to consume at least 3,500mg of potassium a day. If you ate a 10-oz. steak for dinner, what percent of your daily value of potassium did youeat?
We know that 4 oz of steak contains 700 mg of potassium. We want to know how many mg of potassium a 10 oz steak has. The bigger the steak the more potassium it has, so it is a directly proportional relationship. We can apply a rule of three to find the value we want as shown below:
\(\frac{4}{10}\frac{\text{ oz}}{\text{ oz}}=\frac{700}{x}\frac{\text{ mg}}{\text{ mg}}\)Since hte relationship is proportional we don't need to invert any of the fractions. The first step is to cross multiply and then solve for x.
\(\begin{gathered} 4\cdot x=10\cdot700 \\ 4\cdot x=7000 \\ x=\frac{7000}{4} \\ x=1750\text{ mg} \end{gathered}\)A 10 oz steak contains 1750 mg of potassium. We want to know how many percent of the daily value we consumed by eating that steak. To do that we can create another rule of three as shown below:
\(\frac{1750}{3500}\frac{\text{ mg}}{\text{ mg}}=\frac{x}{100}\frac{\text{ \%}}{\text{ \%}}\)\(\begin{gathered} 3500\cdot x=1750\cdot100 \\ 3500\cdot x=175000 \\ x=\frac{175000}{3500} \\ x=50\text{ \%} \end{gathered}\)We ate 50 % of the daily value of potassium recommended.
In Exercises 6.15 to 6.18, what sample size is needed to give the desired margin of error in estimating a population proportion with the indicated level of confidence?6.15 A margin of error within 25% with 95% confidence. 6.16 A margin of error within +1% with 99% confidence. 6.17 A margin of error within +3% with 90% confidence. We estimate that the population proportion is about 0.3. 6.18 A margin of error within +2% with 95% confidence. An initial small sample has p = 0.78.
A sample size of 1076 is needed , To calculate the required sample size for estimating a population proportion with a desired margin of error and confidence level, we can use the formula:
n = (\(Z^2\) * p * (1-p)) / \(E^2\)
where:
- n is the required sample size
- Z is the z-score corresponding to the desired confidence level
- p is the estimated population proportion
- E is the desired margin of error
Let's calculate the required sample size for each exercise:
6.15: Margin of error within 25% with 95% confidence.
E = 0.25
Z = 1.96 (corresponding to 95% confidence level)
p is not given, so we can assume a worst-case scenario where p = 0.5 (maximum variability).
Substituting these values into the formula:
n = (1.96^2 * 0.5 * (1-0.5)) / 0.25^2
n ≈ 384.16
Rounding up to the nearest whole number:
n = 385
Therefore, a sample size of 385 is needed.
6.16: Margin of error within +1% with 99% confidence.
E = 0.01
Z = 2.58 (corresponding to 99% confidence level)
p is not given, so we can assume a worst-case scenario where p = 0.5 (maximum variability).
Substituting these values into the formula:
n = (2.58^2 * 0.5 * (1-0.5)) / 0.01^2
n ≈ 6658.08
Rounding up to the nearest whole number:
n = 6659
Therefore, a sample size of 6659 is needed.
6.17: Margin of error within +3% with 90% confidence.
E = 0.03
Z = 1.645 (corresponding to 90% confidence level)
p = 0.3 (estimated population proportion)
Substituting these values into the formula:
n = (1.645^2 * 0.3 * (1-0.3)) / 0.03^2
n ≈ 317.91
Rounding up to the nearest whole number:
n = 318
Therefore, a sample size of 318 is needed.
6.18: Margin of error within +2% with 95% confidence.
E = 0.02
Z = 1.96 (corresponding to 95% confidence level)
p = 0.78 (estimated population proportion)
Substituting these values into the formula:
n = (1.96^2 * 0.78 * (1-0.78)) / 0.02^2
n ≈ 1075.56
Rounding up to the nearest whole number:
n = 1076
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The radius of a circle is 2.8 cm. Find the circumference to the nearest tenth.
Answer: 17.59 cm
Step-by-step explanation: C=2πr=2·π·2.8=17.59292 cm
if you are testing the null hypothesis with an alpha value of 0.05, will the critical value be smaller or larger than if you were testing the alpha value of 0.01? why?
When testing the null hypothesis with an alpha value of 0.05, the critical value will be larger than if you were testing with an alpha value of 0.01.
If you are testing the null hypothesis with an alpha value of 0.05, the critical value will be smaller than if you were testing the alpha value of 0.01. This is because a smaller alpha value means a more stringent test of significance, which requires stronger evidence to reject the null hypothesis.
This is because a larger alpha value represents a higher level of risk that you are willing to accept when rejecting the null hypothesis. A larger critical value means the rejection region is larger, making it more likely for you to reject the null hypothesis if the test statistic falls within that region.Therefore, the critical value is larger for a smaller alpha value to reflect the higher level of evidence required for rejection. Conversely, a larger alpha value allows for a less stringent test of significance, requiring weaker evidence to reject the null hypothesis, which results in a smaller critical value.
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help if you can asap pls!!!!!
The relationship between DE and AC, considering the triangle midsegment theorem, is given as follows:
DE is half of AC.DE and AC are parallel.What is the triangle midsegment theorem?The triangle midsegment theorem states that the midsegment of the triangle divided the length of the midsegment of the triangle is half the length of the base of the triangle, and that the midsegment and the base are parallel.
The parameters for this problem are given as follows:
Midsegment of DE.Base of AC.Hence the correct statements are given as follows:
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Anand bought snacks for his team's practice. He bought a bag of popcorn for $2.65 and a 15-pack of juice bottles. The total cost before tax was $34.45. How much was each bottle of juice?
Answer: $2.12
Step-by-step explanation: Subtract $2.65 from 34.45 and then divide that number by 15.
Evaluate the expression w² - v + 1 for w = -2 and v = -8.
Answer:
13
Step-by-step explanation:
-2(-2) - (-8) + 1
4 + 8 + 1 = 13
Answer:
13
Step-by-step explanation:
cause i did it and it was right
What is the slope of the line 3х + 5у — 2х + Зу
Answer:
-1/8
Step-by-step explanation:
What is the solution to the system of equations graphed below? A (2, 5) B(-5, -3) C(0, 4) D(1, 1)
it's def c because that's where the intersection is, which is the solution (there is only one solution)
uno's has projected its Q1 sales at $46,000 and its Q2 sales at $48,000. Purchases equal 71 percent of the next quarter's sales. The accounts receivable period is 30 days and the accounts payable period is 45 days. At the beginning of Q1, the accounts receivable balance is $12,200 and the accounts payable balance is $14,800. The firm pays $1,500 a month in cash expenses and $400 a month in taxes. At the beginning Q1, the cash balance is $280 and the short-term loan balance is zero. The firm maintains a minimum cash balance of $250. Assume each month has 30 days. What is the cumulative cash surplus (deficit) at the end of the Q1, prior to any short-term borrowing?
Multiple Choice
$8,880
$8,633
$9,157
$9,210
$9,684
To calculate cumulative cash surplus/ deficit we need to consider cash flows during quarter, including sales, purchases, accounts receivable, accounts payable, cash expenses, taxes, initial cash,loan balances.
Calculate the total cash inflows from sales for Q1: $46,000 (Q1 sales) * 71% (purchases as a percentage of next quarter's sales) = $32,660.
Calculate the total cash outflows for Q1: $1,500 (monthly cash expenses) * 3 months + $400 (monthly taxes) * 3 months = $5,700 + $1,200 = $6,900.
Calculate the net cash flow from accounts receivable: $32,660 (total cash inflows from sales) - $12,200 (accounts receivable balance at the beginning of Q1) = $20,460.
Calculate the net cash flow from accounts payable: $48,000 (Q2 sales projection) * 45 days / 30 days = $72,000 (purchases for Q2) - $14,800 (accounts payable balance at the beginning of Q1) = $57,200.
Calculate the net cash flow from short-term borrowing: Since the short-term loan balance is zero at the beginning of Q1 and there is no mention of additional borrowing, the net cash flow from short-term borrowing is zero.
Calculate the net cash flow for Q1: Net cash flow = Cash inflows - Cash outflows = $20,460 (net cash flow from accounts receivable) - $6,900 (total cash outflows) + $57,200 (net cash flow from accounts payable) = $70,760.
Calculate the cumulative cash surplus/deficit at the end of Q1: Cumulative cash surplus/deficit = Initial cash balance + Net cash flow - Minimum cash balance = $280 (initial cash balance) + $70,760 (net cash flow) - $250 (minimum cash balance) = $71,790.
Therefore, the cumulative cash surplus (deficit) at the end of Q1, prior to any short-term borrowing, is $71,790.
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100+[12×{20−(10÷5)}]
=
Step-by-step explanation:
= 100+[12×{20−(10÷5)}]
= 100+[12×{20−2}]
= 100+[12×18]
= 100+216
= 316
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