according to a salad recipe each serving requires 4 teaspoons of vegetable oil and 12 teaspoons of vinegar. if 14 teaspoons of vegetable oil were used how many teaspoons of vinegar should be used

Answer:

4.2

Step-by-step explanation:

The length of the arc of each slice of cake will be 4.18 inches if Khali shares the cake between him and 5 friends equally.

The circumference is the length of the outer boundary of the circle. It can be calculated as under:

Circumference=2πr

We have been given that the diameter of the cake is 8 inches So, the radius becomes 4 inches. We have to calculate the circumference of the cake. so the circumference becomes:

Circumference=2π(4)=8π

=8*22/7

=25.1

Then we have to divide it into 6 people so it will be 25.1/6=4.18 inches.

Hence the length of the arc will be 4.8 inches.

Learn more about circumference at https://brainly.com/question/20489969

#SPJ2

Consider, we need to find the expanded form of the given expression.

Given:

The expression is:

[tex]\left(a+b\right)^2[/tex]

To find:

The expanded form of the given expression.

Solution:

We have,

[tex]\left(a+b\right)^2[/tex]

It can be written as:

[tex]\left(a+b\right)^2=(a+b)(a+b)[/tex]

Using distributive property of multiplication over addition, we get

[tex]\left(a+b\right)^2=a(a+b)+b(a+b)[/tex]

[tex]\left(a+b\right)^2=a(a)+a(b)+b(a)+b(b)[/tex]

[tex]\left(a+b\right)^2=a^2+ab+ab+b^2[/tex]

[tex]\left(a+b\right)^2=a^2+2ab+b^2[/tex]

Therefore, the expanded form of the given expression is [tex]a^2+2ab+b^2[/tex].

============================================

Work Shown:

LM/PQ = MN/QR

13/56 = 10/x

13*x = 56*10

13x = 560

x = 560/13

x = 43.0769 approximately

x = 43.1

Segment QR is roughly 43.1 units long.

Answer:

QR = 43.1

Step-by-step explanation:

since they are similar use these ratios

NM/QR = LM/PQ

10/QR = 13/56

do cross multiplication

QR*13 = 56*10

QR = 560/13

QR = 43.07

QR = 43.1

therefore the measure of side QR is 43.1.

Answer:

He must sell 20,000 to make the same amount

Step-by-step explanation:

Option A

25 h   where hourly rate time number of hours ( 40 hours)

25 * 40 = 1000

Option B =

.05 * s  where s is the amount of sales and 5% commission

We want them to be equal

1000 = .05s

Divide each side by .05

1000/.05 = .05s/.05

20000 = s

He must sell 20,000 to make the same amount

Answer:

No solution is possible from the information provided

Step-by-step explanation:

Answer:

1/9 √57

Step-by-step explanation:

the length of HG = √(3√3² - 2√2²)

= √(27-8) = √19

sin L F = HG/GF = √19/ 3√3

= 1/9 √57

Answer:

-27

Step-by-step explanation:

9(4x – 15)

Substitute 3 for x

9((4)(3) - 15)

Multiply (4)(3) = 12

9 ( 12 - 15 )

Subtract 12 - 15 = -3

9(-3)

Multiply 9(-3) = -27

[tex]\implies {\blue {\boxed {\boxed {\purple {\sf {-27}}}}}}[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]

[tex] \: 9 \: (4x - 15)[/tex]

Plugging in the value [tex]x = 3[/tex] in the above expression, we have

➼ [tex] \: 9 \: (4 \times 3 - 15)[/tex]

➼ [tex] \: 9 \: (12 - 15)[/tex]

➼ [tex] \: 9 \: ( - 3)[/tex]

➼ [tex] \: - 27[/tex]

[tex]\sf\pink{PEMDAS\: rule.}[/tex]

P = Parentheses

E = Exponents

M = Multiplication

D = Division

A = Addition

S = Subtraction

[tex]\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{❦}}}}}[/tex]

Answer:

y' = 3x² + 6x - 5

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Calculus

Derivatives

Derivative Notation

Basic Power Rule:

Step-by-step explanation:

Step 1: Define

Identify

y = x³ + 3x² - 5x

Step 2: Differentiate

Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit: Derivatives

Book: College Calculus 10e

Answer:

1389

Step-by-step explanation:

hope this helps?

Answer:

A is diagonalizable because αA(λ) = γA(λ) for all eigenvalues of λ. ( C )

Step-by-step explanation:

The matrix

[tex]A = \left[\begin{array}{ccc}5&2&-4\\2&5&-4\\4&4&-5\end{array}\right][/tex]

This is a 3 x 3 matrix  

Attached below is the prove that A is diagonalizable  

Answer:

Slope = -2

Step-by-step explanation:

Point 1 (-1, 2)

Point 2 (1, -2)

Formula to find slope = y2 - y1 / x2 - x1

Slope = 2-(-2) / -1-1

Slope = 4 / -2

Slope = -2

9514 1404 393

Answer:

  see attached

Step-by-step explanation:

The reflection across y=-x swaps the coordinates and negates both of them. The first-quadrant figure becomes a third-quadrant figure.

  (x, y) ⇒ (-y, -x)

Answer:

This will decrease the margin of error associated with your 90% confidence interval.

Step-by-step explanation:

Margin of error:

The margin of error of a confidence interval is given by a formula that follows the following format:

[tex]M = z\frac{s}{\sqrt{n}}[/tex]

In which z is related to the confidence level, s is related to the standard deviation and n is related to the size of sample.

From the formula:

M and n are inversely proportional, which means that if the sample size is increased, the margin of error decreases.

In this question:

Sample size increases from 5 to 10, so the margin of error decreases.

Answer:

$10.50

Step-by-step explanation:

We can make an equation

2.50+2x=?

x=4 because we are riding 4 miles.

so it's 2.5+2*4=?

let's solve

2.5+8=$10.50

The Cost of the taxi ride for 4 miles is $10.50 and Charge for m miles is 2.50 + 2m

Given:

Pick up charge = $2.50

Charge per mile = $2

Number of miles = 4

Cost of the taxi ride for 4 miles = Pick up charge + (Charge per mile + Number of miles)

= 2.50 + (2 × 4)

= 2.50 + 8

= $10.50

Charge for m miles = Pick up charge + (Charge per mile + Number of miles)

= 2.50 + (2 × m)

= 2.50 + 2m

Therefore, Cost of the taxi ride for 4 miles is $10.50 and Charge for m miles is 2.50 + 2m

Read more:

https://brainly.com/question/8957185

Answer:

[tex]A = 137.3cm^2[/tex]

Step-by-step explanation:

Given

See attachment

Required

The area of the semicircle

First, we calculate the hypotenuse (h) of the triangle

Considering only the triangle, we have:

[tex]\cos(68) = \frac{7}{h}[/tex] --- cosine formula

Make h the subject

[tex]h = \frac{7}{\cos(68)}[/tex]

[tex]h = \frac{7}{0.3746}[/tex]

[tex]h = 18.7[/tex]

The area of the semicircle is then calculated as:

[tex]A = \frac{\pi h^2}{8}[/tex]

This gives:

[tex]A = \frac{3.14 * 18.7^2}{8}[/tex]

[tex]A = \frac{1098.03}{8}[/tex]

[tex]A = 137.3cm^2[/tex]

Answer:

50

Step-by-step explanation:

Answer:

It is there difference:

20-5

15

9514 1404 393

Answer:

  AC = 17

Step-by-step explanation:

The segment sum theorem tells you ...

  AB +BC = AC

Substituting the given expressions, we have ...

  (3x +4) +(4x -1) = (6x +5)

  x = 2 . . . . . . . . . . . . . . . . . . subtract 3+6x from both sides

  AC = 6x +5 = 6(2) +5

  AC = 17

_____

  AB = 10, BC = 7

This converts to the improper fraction 7/4

======================================================

Work Shown:

3/4 = 0.75

area of triangle on the left = base*height/2 = 0.75*2/2 = 0.75 sq ft

area of triangle on the right = base*height/2 = 1*2/2 = 1 sq ft

total area = 0.75+1 = 1.75 sq ft

This converts to the improper fraction 7/4 because

1.75 = 1 + 0.75

1.75 = 1 + 3/4

1.75 = 4/4 + 3/4

1.75 = (4+3)/4

1.75 = 7/4

Answer:

32

Step-by-step explanation:

Answer:

10.9 %

Step-by-step explanation:

46 - 41 = 5

5/46 * 100% = 10.8695652174%

Rounded

10.9 %

Answer:

See below.

Step-by-step explanation:

14.

12.5/2.5 = 5

15.

(i) [(-75)/15]/5 = -5/5 = -1

(ii) 13 / [(-2) + 1] = 13 / (-1) = -13

16.

(i) 39 + (-24) - 15 = 0

36 + (-52) - (-36) = 20

Answer: <

(ii) (-10) - 4 = -14

(-10) - (-4) = -10 + 4 = -6

Answer: <

17.

He reads 1/4 book in 1 hour.

He reads 1 book in 4 hours.

In 2 1/6 hours he reads:

(2 1/6)/4 part of the book = (13/6) / 4 = 13/24 part of the book

(i) 2/5 / 1 1/2 = 2/5 / 3/2 = 2/5 * 2/3 = 4/15

(ii) 7/3 / 2 = 7/3 * 1/2 = 7/6

Answer:

14. 5

15. (i) -1     (ii) -13

16. (i) <    (ii) <

17. 24/13

Step-by-step explanation:

Answer:

G.o.o.g.l.e

Step-by-step explanation:

If you search up 'f(x)=10(2)x' on g.o.o.g.l.e it will draw the graph for you.

If this helps you, please give brainliest!

Answer:

ñkxkdbdidvdv

Step-by-step explanation:

hsu3jdjfiebdic ic8 e

Answer:

Move each point, one by one, 5 units down

so, D(-7,10) becomes [tex]D^{1}[/tex](-7,5). Y value was decreased by 5

Answer:

a) 0.5447

b) 0.0228

c) 0.4325

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

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.

Normal distribution with a mean of 9.6 minutes and a standard deviation of 2.3 minutes.

This means that [tex]\mu = 9.6, \sigma = 2.3[/tex]

a. between 5 and 10 min

This is the p-value of Z when X = 10 subtracted by the p-value of Z when X = 5. So

X = 10

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{10 - 9.6}{2.3}[/tex]

[tex]Z = 0.17[/tex]

[tex]Z = 0.17[/tex] has a p-value of 0.5675

X = 5

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{5 - 9.6}{2.3}[/tex]

[tex]Z = -2[/tex]

[tex]Z = -2[/tex] has a p-value of 0.0228

0.5675 - 0.0228 = 0.5447 probability that a randomly received emergency call is between 5 and 10 minutes.

b. less than 5 min

p-value of Z when X = 5, which from item a), is 0.0228, so 0.0228 probability that a randomly received emergency call is of less than 5 minutes.

c. more than 10 min

1 subtracted by the p-value of Z when X = 10, which, from item a), is of 0.5675.

1 - 0.5675 = 0.4325

0.4325 probability that a randomly received emergency call is of more than 10 minutes.

Answer:

[tex]\approx 0.59\text{ ft by }0.91\text{ ft}[/tex]

Step-by-step explanation:

Let [tex]\ell[/tex] represent the length of the rectangle. The width can be represented as [tex]0.64\ell[/tex].

The perimeter of a rectangle with lengths [tex]l[/tex] and [tex]w[/tex] is given by [tex]p=2l+2w[/tex].

Thus, we have:

[tex]2\ell+2(0.64\ell)=3,\\2\ell +1.28\ell=3,\\3.28\ell=3,\\\ell=0.91463414634\approx 0.91[/tex]

The width is then [tex]0.64(0.91463414634)=0.58536585365\approx 0.59[/tex].

Answer:

ok so

8.5*150000

1275000 cm into kilometers is

12.75 kilometers

Hope This Helps!!!