If Ruby plans on making 4 batches of pancakes, how many combined cups of powdered milk and whole wheat flour does she need?

Answer:

3/4

Step-by-step explanation:

Ok, so I see that the x-intercept is (4,0), while the y-intercept is(-3,0)

Slope is rise/run

Between these two points, the line rose 3 and horizontally went 4 units to the right. Therefore, the slope is 3/4.

Feel free to tell me if I did anything wrong! :)

Also, if you're still confused, I could explain it another way.

Answer:

see explanation

Step-by-step explanation:

calculate slope m using the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

consider the middle dotted line

with

(x₁, y₁ ) = (- 5, - 3) and (x₂, y₂ ) = (6, 8) ← 2 points on the line

m = \(\frac{8-(-3)}{6-(-5)}\) = \(\frac{8+3}{6+5}\) = \(\frac{11}{11}\) = 1

consider the line of reflection ( the solid line )

with

(x₁, y₁ ) = (0, 3) and (x₂, y₂ ) = (- 1, 4) ← 2 points on the line

m = \(\frac{4-3}{-1-0}\) = \(\frac{1}{-1}\) = - 1

The nominal rate per annum compounded half-yearly, equivalent to an effective rate of 14.5% per annum, is approximately 14.900625%.

To convert an effective rate to a nominal rate compounded half-yearly, we can use the formula:

Nominal rate \(= (1 + r/m)^m - 1\)

Where:

r = effective rate

m = number of compounding periods per year

In this case, the effective rate is 14.5% per annum, and we want to convert it to a nominal rate compounded half-yearly.

Since compounding is done semi-annually, m would be 2.

Plugging in the values:

Nominal rate \(= (1 + 0.145/2)^2 - 1\)  

Simplifying the expression inside the parentheses:

Nominal rate \(= (1 + 0.0725)^2 - 1\)

Calculating the exponent:

Nominal rate \(= (1.0725)^2-1\)

Performing the calculations:

Nominal rate = 1.14900625 - 1

Nominal rate = 0.14900625

Converting the nominal rate to a percentage:

Nominal rate = 14.900625%

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Answer: C

Step-by-step explanation:

12/4=3

16/4=4

3*8=24

4*8=32

To simplify 12/16 to lowest terms, we can divide both the numerator and denominator by their greatest common factor, which is 4:

12/16 = 3/4

Now we need to find an equivalent fraction with a denominator of 32. To do this, we can multiply both the numerator and denominator of 3/4 by 8:

3/4 = (38)/(48) = 24/32

So the answer is C. 3/4, 24/32.

+(-11) is -11. You're "adding" -11 when in reality you're taking away 11 unless:

the equation looks like: -6+(-11)

the answer would be -17 because you're adding a negative to a negative. Taking away from a negative number is simply moving further down the negative number line, which makes the negative numbers "increase" in value

But if an equation looks like: 6+(-11)

the answer would be -5 since you are taking away 11 from a positive number.

Hope this makes sense and answers your question.

The standard form of "18 hundreds 11 tens" is 1910.

To write "18 hundreds 11 tens" in standard form, we need to convert the given number into its numerical representation.

We know that 1 hundred is equal to 100, and 1 ten is equal to 10.

So, to find the numerical value of "18 hundreds 11 tens," we multiply the respective values by their place values and then add them together.

18 hundreds = 18 x 100 = 1800

11 tens = 11 x 10 = 110

To find the standard form, we add the two values:

1800 + 110 = 1910

Therefore, "18 hundreds 11 tens" in standard form is 1910.

In standard form, numbers are written using digits, without any reference to place value units like hundreds or tens.

The standard form of a number represents its numerical value directly. So, the numerical value of "18 hundreds 11 tens" is 1910, which is its standard form.

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Answer:

A

Step-by-step explanation:

Its A for the answer trust me

Answer:

standard deviation

Step-by-step explanation:

there are a total number of 78,364,164,096 different ways of arranging the letter and digits on the license plate.

In case there are 26 letters and 10 digits permitted in each of 7 places (and no spaces permitted), at that point there are total

36^7= 78,364,164,096 number of plates conceivable, but no question the issuing organization will forbid a subjective subset of these on tasteful grounds, for foulness, or for political incorrectness. If spaces are permitted, the number of plates is 37^7 or 94,931,877,133.In the case, as it were one space or marker is permitted (Ontario, Canada presently employments ‘ABCD*123’, for case), the number is 78,364,164,096 * 6 or 470,184,984,576, since there are 6 spots between 7 characters.

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Answer:

<N is corresponding to <P   and  <P and <L correspond

Step-by-step explanation:

Corresponding angles: any pair of angles each of which is on the same side of one of two lines cut by a transversal and on the same side of the transversal.

To improve understanding of this topic look up corresponding angles and go to pictures. I believe it shows a more clear example

Hope this helps :D

Answer: 375

Step-by-step explanation:

Ruling out each number:

6: In the first two rows, the 6's placement did not change but the clue did, meaning that it is talking about a different number. Otherwise, it would say it's in the right place twice or in the wrong place twice.

3 & 5: Since we know 6 is already ruled out, both 5 & 3 would have to be correct.

2 & 4 & 8: Is proven wrong in the 4th clue.

7: 7 would have to be in the middle since the second clue says it's in the wrong place. If it was 1, it would say it's in the right space.

1: Is proven wrong after 7 is proven true.

Figuring out placement:

5: For the first clue, it says that it's in the correct place meaning that 5 is the last digit.

3: For both of the times 3 appears, it is in the wrong spot, revealing that it's the first digit.

7: In the second clue, it could either be 1 or 7. However, since 3 took the first spot and 5 took the last spot, 7 would have to be in the middle since the clue says it's in the wrong place. If it was 1, it would say it's in the right space.

In the table they show that the premiun has a cost of 100 dollars per year in any plan, so the answer is 100

Answer:

-5+√2 and -5-√2

Step-by-step explanation:

With the quadratic formula:

\(\displaystyle x^2 + 10x + 25 = 2\\\\x^2+10x+23=0\\\\x=\frac{-10\pm\sqrt{10^2-4(1)(23)}}{2(1)}=\frac{-10\pm\sqrt{100-92}}{2}=\frac{-10\pm\sqrt{8}}{2}=\frac{-10\pm2\sqrt{2}}{2}=-5\pm\sqrt{2}\)

We can also complete the square (which is faster):

\(x^2+10x+25=2\\(x+5)^2=2\\x+5=\pm\sqrt{2}\\x=-5\pm\sqrt{2}\)

Answer:

4x + 7x - 2 + 5x - 10 = 180

16x - 12 = 180

16x = 192

x = 12

m<A= 4x = 4(12) = 48

m<B = 7x - 2 = 7(12) - 2 = 84 - 2 = 82

m<C = 5x - 10 = 5(12) - 10 = 60 - 10 = 50

Step-by-step explanation:

.

Answer:

the solution to the trigonometric inequality cos(0.65x) > 0.44 over the interval 0 ≤ x < 4.834.

Step-by-step explanation:

The given inequality is:

cos(0.65x) > 0.44

To solve this inequality, we need to isolate the variable x.

First, let's take the inverse cosine (arccos) of both sides to remove the cosine function:

arccos(cos(0.65x)) > arccos(0.44)

Since the range of the inverse cosine function is limited to [0, π], we can rewrite the inequality as:

0 ≤ 0.65x < π

Now, let's solve for x by dividing each part of the inequality by 0.65:

0/0.65 ≤ x < π/0.65

Simplifying, we have:

0 ≤ x < π/0.65

Now, let's calculate the approximate value of π/0.65 to determine the interval for x:

π/0.65 ≈ 4.834

i hope i helped!

The solutions are given below

State: To create a 95% confidence interval for the percentage of Wilmer High School students that favor banning plastic bottles.

Plan :

The population proportion's 95% confidence interval is provided by

\(C I=\hat{p} \pm Z \sqrt{\frac{\hat{p}(1-\hat{p})}{n}}\)

where

P = sample proportion

n= sample size

and Z = critical two-tailed value of Z ( standard normal variate) at 0.05 ( 1- 0.95) level of significance = 1.96

The percentage of students in a sample that favor banning plastic water bottles is provided by

P = sample proportion = 0.5592

N=152

Z=1.96  

put values in the above formula for the confidence interval

\(\begin{aligned}& C I=0.5592 \pm 1.96 \sqrt{\frac{0.5592(1-0.5592)}{152}} \\& C I=0.5592 \pm 1.96 \sqrt{0.001622} \\& C I=0.5592 \pm 1.96 \times 0.04027 \\& C I=0.5592 \pm 0.0789 \\& =(0.4803,0.6381)\end{aligned}\)

Conclusion: Wilmer High School's 95% confidence interval for the percentage of all pupils who favor banning plastic bottles is

Interpretation: According to the 95% confidence interval for the percentage of all students who favor banning plastic bottles, 95 out of 100 confidence intervals constructed in a similar way will include the actual percentage of students who support the ban.

According to the 95% confidence interval created using the data provided, or (0.4803, 0.6381), 48% to 63% of students favor the ban on plastic bottles.

(b) If a majority of students support it, the student council will outlaw the use of plastic water bottles. The range of the genuine percentage of students who favor the ban, according to the 95% confidence interval, is between 48% and 63%. The majority of students do not favor it if it is 48%. The gap does not definitively show that the majority of students favor the ban. The student council cannot thus forbid the usage of plastic bottles.

c)

\(\begin{aligned}& \hat{p}=\text { sample proportion }=\frac{85}{165}=0.5152 \\& I=0.5152 \pm 1.96 \sqrt{\frac{0.5152(1-0.5152)}{165}} \\& =0.5152 \pm 1.96 \times 0.0389 \\& =0.5152 \pm 0.0762 \\& =(0.439 .0 .5914)\end{aligned}\)

There is still a possibility that just 43% of students favor the ban. As a result, component (b)'s conclusion won't change.

(d) The confidence interval's length is provided by

Both the upper and lower limits

\(\begin{aligned}&\left[\hat{p}+Z \sqrt{\frac{\hat{p}(1-\hat{p})}{n}}\right]-\left[\hat{p}-Z \sqrt{\frac{\hat{p}(1-\hat{p})}{n}}\right]\\&=2 \times z \sqrt{\frac{\hat{p}(1-\hat{p})}{n}} .\end{aligned}\)

If the sample size is doubled, n=2 n

Replace n in the formula above with 2 n.

then CI length

\(\begin{aligned}& =2 \times Z \sqrt{\frac{\hat{p}(1-\hat{p})}{2 n}} \\& =\frac{1}{\sqrt{2}}\left[2 \times Z \sqrt{\frac{\hat{p}(1-\hat{p})}{n}}\right] \\& =\frac{1}{\sqrt{2}} \text { X length of original confidence interval }\end{aligned}\)

Consequently, the length of the confidence interval is cut in half if the sample size is doubled.

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Step-by-step explanation:

The bisection method is a root-finding algorithm that repeatedly bisects an interval and then selects a subinterval in which a root must lie for further processing. To apply the bisection method to the equation x^3 - x - 9 = 0, you need to find two initial values a and b such that f(a) and f(b) have opposite signs. This means that there is at least one root of the equation in the interval [a, b].

Let’s take a = 2 and b = 3 as our initial interval. We can see that f(2) = 2^3 - 2 - 9 = -1 and f(3) = 3^3 - 3 - 9 = 18, so f(a) and f(b) have opposite signs.

Now we can apply the bisection method as follows:

Calculate the midpoint c = (a + b)/2 = (2 + 3)/2 = 2.5.

Evaluate f© = 2.5^3 - 2.5 - 9 ≈ 5.625.

Since f© > 0 and f(a) < 0, there must be a root in the interval [a, c]. So we set b = c and repeat the process.

Calculate the new midpoint c = (a + b)/2 = (2 + 2.5)/2 = 2.25.

Evaluate f© ≈ 1.765625.

Since f© > 0 and f(a) < 0, there must be a root in the interval [a, c]. So we set b = c and repeat the process.

We can continue this process until we reach the desired level of accuracy.

Answer:

The 2 dollars has $1.80 more than the two dimes.

Step-by-step explanation:

2.00-0.20=1.80

Answer:

C. 6a + 5b

Step-by-step explanation:

36a^2-25b^2

Rewriting as

(6a)^2 - (5b)^2

We know this is the difference of squares

(x^2 -y^2) = (x-y)(x+y)

(6a - 5b) (6a+5b)

Answer:

C. 6a + 5b

Step-by-step explanation:

36 is a perfect square, meaning it has two factors that are identical, being 6. 25 is also a perfect square, with its factors being 5, however, in this case, 25 is negative, so we need to have a positive 5 and a negative 5. This gives us:

(6a + 5b) (6a - 5b)

But, the answer choices only have (6a + 5b), so choice, "C," is the answer.

Answer:

Domain: (-infinity, +infinity) since you can pick any x values.

Range: [0, +infinity) since it does not go below the x axis.

Step-by-step explanation:

The graph is a parabola given by \(y=x^2\)

lets pick a few x values:

x = 1 gives us y = 1^2, which = 1

x = -1 gives us y = (-1)^2, which = 1

The parabola's domain is any x value as it extends to infinity.

For its range, you can see that it does not go below the x axis at x = 0. Therefore, the range of the parabola is from [0, infinity]

Five 3 pointers and two 2 pointers

Step-by-step explanation:

The required expression that represents the number of 2 pointers and 3 pointers scored is 2x + 3y = 45 where x represents the number of 2 pointers and y tend the number of 3 pointers.

Given that, During the Lakers game, Kobe made 19 shots; some were 2-pointers and the others were 3-pointers. If he scored 45 points, how many were 2 pointers. How many 3-pointers is to be determined.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
Let the number of 2 pointer be x and the number of 3 pointer be y,
According to the question,
2x + 3y = 45
where x represents the number of 2 pointers and y tend the number of 3 pointers.

Thus, the required expression that represents the number of 2 pointers and 3 pointers scored is 2x + 3y = 45.

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Answer:

96 cards

Step-by-step explanation:

each peice of paper makes 4 card, multiply that by the amount of paper, boom 96

Andy would pay $23.94 more in finance charges compared to Brett, given their respective APRs, average daily balances, and monthly percentage rates.

To calculate the monthly percentage rate (MPR) from the given annual percentage rate (APR), we divide the APR by 12.

For Brett:

APR = 12.6%

MPR = 12.6% / 12 = 1.05%

For Andy:

APR = 16.2%

MPR = 16.2% / 12 = 1.35%

Next, we can calculate the finance charge for each individual using the formula: finance charge = average daily balance * MPR.

For Brett:

Finance charge = $7,980 * 1.05% = $83.79

For Andy:

Finance charge = $7,980 * 1.35% = $107.73

To find the difference in the finance charges between Andy and Brett, we subtract Brett's finance charge from Andy's finance charge:

Difference = $107.73 - $83.79 = $23.94

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Answer:

A

Step-by-step explanation:

The inequality  4(2.8z + 1.75) > -26.6  has 5 as a solution and its solution is, z > - 3.

A relation by which we can compare two or more mathematical expression is called an inequality.

We have to given that;

The inequalities are,

⇒ 4(2.8z + 1.75) > -26.6

⇒ 2(1.9z + 1.5) ≤ 18.2

Now, We can solve the inequalities as;

1) ⇒ 4(2.8z + 1.75) > -26.6

Divide by 4;

⇒ 2.8z + 1.75 > - 6.65

Subtract 1.75 both side,

⇒ 2.8z > - 6.65 - 1.75

⇒ 2.8z > - 8.4

Divide by 2.8;

⇒ z > - 8.4/2.8

⇒ z > - 3

Clearly, z = 5 is the solution of the above inequality.

2) 2(1.9z + 1.5) ≤ 18.2

Divide by 2;

⇒ 1.9z + 1.5 ≤ 9.1

Subtract 1.5 both side,

⇒ 1.9z ≤ 9.1 - 1.5

⇒ 1.9z ≤ 7.6

Divide by 1.9;

⇒ z ≤ 7.6/1.9

⇒ z ≤ 4

Clearly, z = 5 is not the solution of the above inequality.

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The complete question is this,

Solve each of the given inequalities for z. Which of the inequalities has 5 as a solution?

   Inequality 1                                 Inequality 2

4(2.8z + 1.75) > -26.6                2(1.9z + 1.5) ≤ 18.2

Answer:

20 c E

12 A G I

8 d H

16 B F

Step-by-step explanation:

Answer:

2.8

Step-by-step explanation:

11.1-8.3=2.8

HOPE I HELPED

PLS MARK BRAINLIEST

DESPERATELY TRYING TO LEVEL UP

✌ -ZYLYNN JADE ARDENNE

JUST A RANDOM GIRL WANTING TO HELP PEOPLE!

                            PEACE!

Answer:

9.33333333333

Step-by-step explanation:

Answer:28/3 or 9

Step-by-step explanation:

Answer:

\(\textsf{1.(a)} \quad x^2-14x+\boxed{49}=\left(x-\boxed{7}\right)^2\)

\(\textsf{1.(b)} \quad 9x^2 + 30x +\boxed{25}= \left(3x +\boxed{5}\right)^2\)

\(\begin{aligned}\textsf{2.(a)}\quad3x^2-24x+48&=3\left(x^2-\boxed{8}\:x+\boxed{16}\right)\\&=3\left(x-\boxed{4}\right)^2\end{aligned}\)

\(\begin{aligned}\textsf{2.(b)}\quad \dfrac{1}{2}x^2+8x+32&=\dfrac{1}{2}\left(x^2+\boxed{16}\:x+\boxed{64}\right)\\&=\dfrac{1}{2}\left(x+\boxed{8}\right)^2\end{aligned}\)

Step-by-step explanation:

(a) When completing the square for a quadratic equation in the form ax² + bx + c where the leading coefficient is one, we need to add the square of half the coefficient of the x-term:

\(x^2-14x+\left(\dfrac{-14}{2}\right)^2\)

\(x^2-14x+\left(-7\right)^2\)

\(x^2-14x+49\)

We have now created a perfect square trinomial in the form a² - 2ab + b². To factor a perfect square trinomial, use the following formula:

\(\boxed{a^2 -2ab + b^2 = (a -b)^2}\)

Therefore:

\(a^2=x^2 \implies a=1\)

\(b^2=49=7^2\implies b = 7\)

Therefore, the perfect square trinomial rewritten as a binomial squared is:

\(x^2-14x+\boxed{49}=\left(x-\boxed{7}\right)^2\)

(b) When completing the square for a quadratic equation where the leading coefficient is not one, we need to add the square of the coefficient of the x-term once it is halved and divided by the leading coefficient, and then multiply it by the leading coefficient:

\(9x^2 + 30x +9\left(\dfrac{30}{2 \cdot 9}\right)^2\)

\(9x^2 + 30x +9\left(\dfrac{5}{3}\right)^2\)

\(9x^2 + 30x +9 \cdot \dfrac{25}{9}\)

\(9x^2 + 30x +25\)

We have now created a perfect square trinomial in the form a² + 2ab + b². To factor a perfect square trinomial, use the following formula:

\(\boxed{a^2 +2ab + b^2 = (a +b)^2}\)

Therefore:

\(a^2=9x^2 = (3x)^2 \implies a = 3x\)

\(b^2=25 = 5^2 \implies b = 5\)

Therefore, the perfect square trinomial rewritten as a binomial squared is:

\(9x^2 + 30x +\boxed{25}= \left(3x +\boxed{5}\right)^2\)

\(\hrulefill\)

(a) Factor out the leading coefficient 3 from the given expression:

\(3x^2-24x+48=3\left(x^2-\boxed{8}\:x+\boxed{16}\right)\)

We have now created a perfect square trinomial in the form a² - 2ab + b² inside the parentheses. To factor a perfect square trinomial, use the following formula:

\(\boxed{a^2 -2ab + b^2 = (a -b)^2}\)

Factor the perfect square trinomial inside the parentheses:

                        \(=3\left(x-\boxed{4}\right)^2\)

(a) Factor out the leading coefficient 1/2 from the given expression:

\(\dfrac{1}{2}x^2+8x+32=\dfrac{1}{2}\left(x^2+\boxed{16}\:x+\boxed{64}\right)\)

We have now created a perfect square trinomial in the form a² + 2ab + b² inside the parentheses. To factor a perfect square trinomial, use the following formula:

\(\boxed{a^2+2ab + b^2 = (a +b)^2}\)

Factor the perfect square trinomial inside the parentheses:

                        \(=\dfrac{1}{2}\left(x+\boxed{8}\right)^2\)

Step-by-step explanation:

Since ABCD is a rectangle

⇒ AB = CD and BC = AD

x + y = 30 …………….. (i)

x – y = 14 ……………. (ii)

(i) + (ii) ⇒ 2x = 44

⇒ x = 22

Plug in x = 22 in (i)

⇒ 22 + y = 30

⇒ y = 8

Answer:

D. 14

You need to divide the number of miles traveled by the number of gallons of gasoline used. In this case, that would be 211 miles / 15 gallons = <<211/15=14>>14 miles per gallon.