create a proportion from each set of numbers only use four numbers from each set.


11, 13, 60, 15, 44,​

Answer: ...(1.38) and ...(1.12)

Answer:

what is the Question

Step-by-step explanation:

math is ezy :3

Answer:

here

alternate exterior angles--∠1, ∠8 and ∠2, ∠7

alternate interior angles--∠3, ∠6 and ∠4, ∠5

corresponding angles--∠1, ∠5 and ∠2, ∠6

vertical angles--∠2, ∠3 and ∠5, ∠8

Step-by-step explanation:

Answer:

here

alternate exterior angles--∠1, ∠8 and ∠2, ∠7

alternate interior angles--∠3, ∠6 and ∠4, ∠5

corresponding angles--∠1, ∠5 and ∠2, ∠6

vertical angles--∠2, ∠3 and ∠5, ∠8

Step-by-step explanation:

Answer:

Surface Area = 2×(6×8 + 6×4 + 8×4) = 208 centimeters2

Step-by-step explanation:

Step-by-step explanation:

please see the attachment..n note it somewhere on a sheet n paste that at a place where you can see that every now n then...so you'll learn that slowly n gradually... you'll enjoy!!!(◍•ᴗ•◍)❤

The answer would be the first graph! The one that has the black dot in the number 120.

Hope this helps! :)

Have a nice day <3

~Amy

When x = 13, the equation that is true is option D) 5(x - 9) = 20.

To determine which equation is true when x = 13, we can substitute the value of x into each equation and see which equation holds true. Let's go through each option:

A) 3(18 - x) = 67

Substituting x = 13:

3(18 - 13) = 67

3(5) = 67

15 = 67

The equation is not true when x = 13. Therefore, option A is false.

B) 4(9x) = 23

Substituting x = 13:

4(9*13) = 23

4(117) = 23

468 = 23

Again, the equation is not true when x = 13. Therefore, option B is also false.

C) 2(x - 3) = 7

Substituting x = 13:

2(13 - 3) = 7

2(10) = 7

20 = 7

Once again, the equation is not true when x = 13. Therefore, option C is false as well.

D) 5(x - 9) = 20

Substituting x = 13:

5(13 - 9) = 20

5(4) = 20

20 = 20

Finally, the equation is true when x = 13. Therefore, option D is true.

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Note: the translated questions is

X = 13, which equation is true?

Yes, the solution is correct as x = 4

Algebraic expressions are described as expressions that are made up of terms, variables, constants, factors and coefficients.

These expressions are also composed of operations, such as;

From the information given, we have that;

8 - √x = 10

collect the like terms

- √x = 10 - 8

subtract the values

- √x = 2

Then, we have;

√x = -2

Take the square root of both sides

x = (-2)²

x = 4

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Answer:

In mathematics, an inequality is a relation which makes a non-equal comparison between two numbers or other mathematical expressions. It is used most often to compare two numbers on the number line by their size.

Step-by-step explanation:

Answer:

16.3

Step-by-step explanation:

Answer:

16.3

Step-by-step explanation:

hope this helps turn the frown upside down

A function is a relationship between a few different inputs and an output, where each input can only lead to one possible outcome.

(i) The exponential function that models the decay of the substance is given by:

\(N(t) = Noe^(-0.088t)\)

(ii) If \(400g\) of the substance is present at to, then  \(No = 400g\) . Therefore, the amount of the substance remaining after 3 days is:

\(N(3) = 400e^(-0.0883) = 309.21g\)  (rounded to two decimal places)

(iii) The rate of change of the amount of the substance after 3 days is given by:

 \(dN/dt = -0.088N(3) = -0.088309.21 = -27.21 g/day\) (rounded to two decimal places)

(iv) To find the number of days it takes for half of the original \(400g\) of the substance to remain, we need to solve the equation:

\(N(t) = 0.5No\)

\(0.5No = Noe^(-0.088t)\)

\(0.5 = e^(-0.088t)\)

\(ln(0.5) = -0.088t\)

\(t = ln(0.5)/(-0.088) = 7.89 days\) (rounded to two decimal places)

Therefore, after  \(7.89\) days, half of the original  \(400g\) of the substance will remain.

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Area of chalkboard = 4 feet x 6 feet = 24 square feet.

Total cost = 24 square feet x $7.21 per square foot = $173.04

Answer: $173.04

Answer:

Step-by-step explanation:

Because you already know what 1lb of flour is in the small bag you only have to find the price per pound in the 50lb bag so you would do $7/50 giving you $0.14 soo the Large bag would be cheaper

Answer:

120

Step-by-step explanation:

6*5*4

30*4

120

Answer:

Step-by-step explanation:

8k, s = 8k/5, k = 5s/8 s = 2k - 30 s = 2 (5s/8) - 30

s=2k - 30

5s = 8k

5*(2k -30) = 8k

10k - 150 = 8k

2k = 150

k = 75, the number of calories in a krunchy krum. this makes s = 120 calories for a sugar dud

We are given the expression B=3Mn/2 and told to express M in terms of B and n. This means that we should apply mathematical operations on both sides of the equation so we "isolate " M on one side of the equality sign. We begin with the given equation

First, we multiply both sides by 2, so we get

Next, we divide by 3 on both sides, so we get

Finally, we divide both sides by n, so we get

In this case, we have succesfully expressed M in terms of B and n

Answer:

A = 0.75 gram or 1 gram

Step-by-step explanation:

The half-life of carbon 14 is years. How much would be left of an original -gram sample after 2,292 years? (To the nearest whole number).

We can use the following formula for half-life of \(^{14}C\) to find out how much is left from the original sample after 2,292 years:  

\(A = A_{0}e^{-0.000124t}\)

where:

A is the amount left of an original gram sample after t years, and  

\(A_{0}\) is the amount present at time t = 0.

The half-life of  \(^{14}C\)  is the time t at which the amount present is one-half the amount at time t = 0.

If 1 gram of  \(^{14}C\) is present in a sample,  

 Solve for A when t = 2,292:  

Substituting \(A_{0}\)  = 1 gram into the decay equation, and we have:  

\(A = A_{0}e^{-0.000124t}\)

\(A = A_{0}e^{-0.000124(2,292)}\)

A = 0.75 g or 1 g  

Answer:

Step-by-step explanation:

even (2, 4, 6, 8, 10, 12) = 6/12 = 1/2

cube (1, 8) = 2/12 = 1/6     (although all numbers are a cube of something, just not a whole, or even rational, number)

prime (1, 2, 3, 5, 7, 11) = 6/12 = 1/2

odd (1, 3, 5, 7, 9, 11) = 6/12 = 1/2

Answer:

80 runners

Step-by-step explanation:

24/30=0.8

0.8*100=80

Answer:

80 runners

Step-by-step explanation:

make a proportion: 30/100 = 24/x

cross multiply: 2400=30x

divide: 2400/30=80

80 runners

Answer:

∠ W = 53°

Step-by-step explanation:

the measure of the secant- secant angle W is half the difference of the measures of the intercepted arcs , that is

∠ W = \(\frac{1}{2}\) (YC - GT) = \(\frac{1}{2}\) (160 - 54)° = \(\frac{1}{2}\) × 106° = 53°

Answer:

6 pins.

Step-by-step explanation:

The number of knocked down pins in each turn is:

First turn: 2 pins

Second turn: 2*2 = 4 pins

Total: 2+4 = 6 pins.

So far, Jake knocked out 6 pins.

We know that

• The interest rate is 6% (0.06).

• The compounding period is annual. (n = 1).

• The final amount is $22,000.

• The time is 4 years. (t = 4).

Let's use the compound interest formula

We have to replace the given values and solve for P

To find the annual payment, first, we find the total earnings through the 4 years.

Then, we divide by 4

The value of df, when x = π/4 and dx = 1/24, is (-5π - 5√2)/(96√2).

To find the derivative of the function f(x) = -5cos(x) + xtan(x), we'll use the sum and product rules of differentiation. Let's start by finding df/dx.

Apply the product rule:

Let u(x) = -5cos(x) and v(x) = xtan(x).

Then, the product rule states that (uv)' = u'v + uv'.

Derivative of u(x):

u'(x) = d/dx[-5cos(x)] = -5 * d/dx[cos(x)] = 5sin(x) [Using the chain rule]

Derivative of v(x):

v'(x) = d/dx[xtan(x)] = x * d/dx[tan(x)] + tan(x) * d/dx[x] [Using the product rule]

= x * sec^2(x) + tan(x) [Using the derivative of tan(x) = sec^2(x)]

Applying the product rule:

(uv)' = (5sin(x))(xtan(x)) + (-5cos(x))(x * sec^2(x) + tan(x))

= 5xsin(x)tan(x) - 5xcos(x)sec^2(x) - 5cos(x)tan(x)

Simplify the expression:

df/dx = 5xsin(x)tan(x) - 5xcos(x)sec^2(x) - 5cos(x)tan(x)

Now, we need to evaluate df/dx at x = π/4 and dx = 1/24.

Substitute x = π/4 into the derivative expression:

df/dx = 5(π/4)sin(π/4)tan(π/4) - 5(π/4)cos(π/4)sec^2(π/4) - 5cos(π/4)tan(π/4)

Simplify the trigonometric values:

sin(π/4) = cos(π/4) = 1/√2

tan(π/4) = 1

sec(π/4) = √2

Substituting these values:

df/dx = 5(π/4)(1/√2)(1)(1) - 5(π/4)(1/√2)(√2)^2 - 5(1/√2)(1)

Simplifying further:

df/dx = 5(π/4)(1/√2) - 5(π/4)(1/√2)(2) - 5(1/√2)

= (5π/4√2) - (10π/4√2) - (5/√2)

= (5π - 10π - 5√2)/(4√2)

= (-5π - 5√2)/(4√2)

= (-5π - 5√2)/(4√2)

Now, to evaluate df/dx when dx = 1/24, we'll multiply the derivative by the given value:

df = (-5π - 5√2)/(4√2) * (1/24)

= (-5π - 5√2)/(96√2)

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Answer:

x=12

Step-by-step explanation:

3x=2x+12

3x-2x=12

x=12

The power series representation for function f(x) is; ∑ \((-1)^{n}\) × \(X^{(6n+9)}\) / (2n+1), and the radius of convergence is infinite, R = ∞.

To find a power series representation for the function f(x) = x⁶×arctan(x³), we can use the power series representation for arctan(x);

arctan(x) = ∑ \((-1)^{n}\) × \(X^{(2n+1)}\) / (2n+1)

Substituting x³ for x in this series, we have;

arctan(x³) = ∑ \((-1)^{n}\) × (x³\()^{(2n+1)}\) / (2n+1)

= ∑ \((-1)^{n}\) × \(X^{(6n+3)}\) / (2n+1)

Multiplying this series by x⁶, we get;

x⁶ × arctan(x³) = ∑ \((-1)^{n}\) × \(X^{(6n+9)}\) / (2n+1)

So the power series representation for f(x) is;

f(x) = x⁶ × arctan(x³) = ∑ \((-1)^{n}\) × \(X^{(6n+9)}\) / (2n+1)

To find radius of convergence R, we use the ratio test:

lim |\((-1)^{n}\) × \(X^{(6(n+1)+9)}\) / (2(n+1)+1) × (2n+1) / \((-1)^{n}\) × \(X^{(6n+9)}\)|

n->∞

= lim |x⁶ / (2n+3)|

n->∞

As n approaches infinity, the denominator of the fraction approaches infinity, so the limit is zero for all values of x. Therefore, the power series converges for all values of x, and the radius of convergence is infinite, R = ∞.

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Answer:

170, 171, 172

Step-by-step explanation:

x + x + 1 + x + 2 = 513

3x + 3 = 513

3x = 510

x = 170

x + 1 = 171

x + 2 = 172

The ratiο οf bοοks in οther languages tο the rest οf the bοοks in the library is 204 : 1505.

A ratiο is a way οf cοmparing twο quantities by expressing the relatiοnship between them in terms οf their relative sizes. It is usually written in the fοrm οf a fractiοn οr using a cοlοn (:).

The tοtal number οf bοοks in the library is:

12345 + 7842 + 32178 + 7116 = 59481

The tοtal number οf bοοks in languages οther than English, French, and Arabic is:

7116

The ratiο οf bοοks in οther languages tο the rest οf the bοοks in the library is:

7116 : (59481 - 7116) = 7116 : 52365

Simplifying this ratiο by dividing bοth numbers by their greatest cοmmοn factοr gives:

7116 : 52365 = 204 : 1505

Therefοre, the ratiο οf bοοks in οther languages tο the rest οf the bοοks in the library is 204 : 1505.

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Answer:

x+16=4x-5. {being vertically opposite angle}

16+5=4x-x

21=3x

or, 21/3=x

hence, x=7

Answer:

x = 7

Step-by-step explanation:

x + 16 = 4x - 5

16 + 5 = 4x - x

21 = 3x

21/3 = x

x = 7