30gallons 3quarts 1pint x 5

Answer:

(4, 2)

Step-by-step explanation:

½x + y = 4

y = 4 - ½x

½x - y = 0

½x - (4 - ½x) = 0

½x - 4 + ½x = 0

x = 4

y = 4 - ½(4)

y = 2

Differentiate the given solution:

[tex]x=C_1\cos(t)+C_2\sin(t) \implies x'=-C_1\sin(t)+C_2\cos(t)[/tex]

Now, given that x (π/4) = √2/2 … (I'm assuming there are symbols missing somewhere) … you have

[tex]\dfrac{\sqrt2}2=C_1\cos\left(\dfrac\pi4\right)+C_2\sin\left(\dfrac\pi4\right)[/tex]

[tex]\implies\dfrac1{\sqrt2} = \dfrac{C_1}{\sqrt2}+\dfrac{C_2}{\sqrt2}[/tex]

[tex]\implies C_1+C_2=1[/tex]

Similarly, given that x' (p/4) = 0, you have

[tex]0=-C_1\sin\left(\dfrac\pi4\right)+C_2\cos\left(\dfrac\pi4\right)[/tex]

[tex]\implies 0=-\dfrac{C_1}{\sqrt2}+\dfrac{C_2}{\sqrt2}[/tex]

[tex]\implies C_1=C_2[/tex]

From this result, it follows that

[tex]C_1+C_2=2C_1=1 \implies C_1=C_2=\dfrac12[/tex]

So the particular solution to the DE that satisfies the given conditions is

[tex]\boxed{x=\dfrac12\cos(t)+\dfrac12\sin(t)}[/tex]

Answer:

what is thisssss

Step-by-step explanation:

Answer:

y = -5x - 11

Step-by-step explanation:

First we are going to find the slope of the function using the formula attached below as an image:

(-5, 14)

(1, -16)

x_1 = -5

x_2 = 1

y_1 = 14

y_2 = -16

Now plug in the values and start simplifying:

(-16 - 14)/(1 - (-5))

(-30)/(6)

-5

The slope is -5.

Now we're going to use the point-slope formula to find the final function:

(point-slope formula has been attached as an image as well)

I'm going to use the point (-5, 14) for this formula:

y - 14 = -5(x + 5)

y - 14 = -5x - 25

y = -5x - 11

That's your answer! Hope this helps (●'◡'●)

Answer:

True

False

Step-by-step explanation:

BC are on the same line so, the new [tex]B^{1}[/tex][tex]C^{1}[/tex] will also be on the same. Just a different line than the original. The both move the same distance when dilated.

CD and the new [tex]C^{1}[/tex][tex]D^{1}[/tex] cannot be the same length. The dilation will increase their length by 1[tex]\frac{2}{3}[/tex]

Answer:

17

Step-by-step explanation:

1. 3(5) + 2

2. 15 + 2

3. 17

Answer:

17

Step-by-step explanation:

f(x) = 3x + 2

Let x = 5

f(5) = 3*5+2

    = 15+2

     = 17

Answer:

Step-by-step explanation:

Step 1: Find the perimeter of the rectangle

The rectangle has two lengths and one width that we need to add together. The width of the rectangle is equal to 2 times the radius (or the diameter) of the circle, which is 16.

25 + 25 + 16 = 66

Step 2: Find the perimeter of the semicircle

The perimeter of a semicircle is equal to half of the circumference.

C = pi x diameter

1/2 (3.14) x (16) = 25.12

Step 3: Find the perimeter of the figure

All that's left to do is add the two perimeters together.

66 + 25.12 = 91.12 m

Hope this helps!

Answer:

I got 336 units...not sure if im right tho

Step-by-step explanation:

I added all the sides together and got it. (its much more complicated than that tho)

Answer:

Answer:

dimes- 8

nickels- 4

Step-by-step explanation:

dime=10 cents

nickels=5 cents

5 x 4 = 20

10 x 8 = 80

80 + 20 = 100

... please give brainliest ...

9514 1404 393

Answer:

  x = 12

Step-by-step explanation:

Angle U is supplementary to the arc intercepted by the tangents.

  5x +10 = 180 -110

  5x = 60 . . . . . . subtract 10 and simplify

  x = 12 . . . . . . . . divide by 5

Answer:

Perimeter = (x+3) * 3 =    3x+9

Step-by-step explanation:

(x+3) would be multiplied by 3 in order to account for each of the three sides of the equilateral triangle-

The expression for the perimeter of the triangle is 3x+9.To find the expression for the perimeter of the triangle.

Perimeter is the distance around the edge of a shape. The continuous line forms the boundary of a closed geometrical figure.In an equilateral triangle, all 3 sides are the same length, so the equation would look something like this:

P=the perimeter of the triangle

(x+3)=length of each side

P=3(x+3)

To simplify further, distribute the 3 to both the x and the 3 inside of the parentheses, getting

P=3x+9.

So, the expression for the perimeter of the triangle is 3x+9.

Learn more about perimeter here:

https://brainly.com/question/6465134

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Answer:

(-2,4)

Step-by-step explanation:

The solution to the system is where the two lines intersect

The lines intersect at x = -2 and y = 4

(-2,4)

[tex]\boxed{\large{\bold{\blue{ANSWER~:) }}}}[/tex]

Explanation:-

in this above attachment(in questions) the two lines are intersected in a point.

The point are in the quadrant (ii)

So,

The solution to this system of equation is (-2,4)

Since x is an integer, we have

K = {…, -6, -5, -4, -3, -2}

Y = {2, 3, 4, 5}

Z = {…, -1, 0, 1, 2, 3}

Then

(i)

Y U Z = {…, -1, 0, 1, 2, 3, 4, 5}

==>   K ∩ (Y U Z) = {…, -6, -5, -4, -3, -2} = K

(ii)

K ∩ Y = { } (empty set)

K ∩ Z = {…, -6, -5, -4, -3, -2} = K

==>   (K ∩ Y) U (K ∩ Z) = { } U K = K

(iii) This is a demonstration of the distributive property. That is, the intersection distributes over a union:

K ∩ (Y U Z) = (K ∩ Y) U (K ∩ Z)

Answer:

[tex]\frac{3}{4} -\frac{5}{16} =\frac{3(4)}{4(4)} =\frac{5}{16} =\frac{12}{16} -\frac{5}{16} =\frac{7}{16}[/tex]

Answer:

7/16

Step-by-step explanation:

3/4 - 5/16

Get a common denominator of 16

3/4 *4/4  -5/16

12/16 - 5/16

7/16

Answer: A

-4(3e+4)=

-12e-16

Step-by-step explanation:

-7+3(-4e-3)=

-7-12e-9=

-12e-16

Answer:

I'm pretty sure it's D, sorry if I'm wrong

Step-by-step explanation:

Answer:

I think D

Step-by-step explanation:

Because an experiment is defined as a scientific procedure undertaken to make a discovery, test a hypothesis, or demonstrate a known fact. This example is testing to see if the mouthwash is effective.

Answer:

2 1/6

Step-by-step explanation:

6.5x=2x+1.6=1/3

1/3*6.5=2 1/6

Answer:

∠ ADB = 19°

Step-by-step explanation:

Consecutive angles in a parallelogram are supplementary, sum to 180° , so

∠ CDA = 180° - ∠ DAB = 180° - 138° = 42°

Then

∠ ADB + ∠ CDB = 42° , that is

∠ ADB + 23° = 42° ( subtract 23° from both sides )

∠ ADB = 19°

Answer:

Step-by-step explanation:

a

Answer:

The proportion of red candies is 60/100.

Step-by-step explanation:

Given that sixty out of every 100 pieces of candy is red, to determine which indicates the proportion of red candies, the following calculation must be performed:

60 red candies out of 100 total candies

60/100

Therefore, the ratio of red candies is 60/100.

Answer:

f(-10) = 2 times -10 + 1

= -19

f(2) = 2^2

= 4

f(-5) = 2 times -5 + 1

= -9

f(-1) = (-1)^2

= 1

f(8) = 3-8

= -5

Step-by-step explanation:

Answer:

a) 0.0282 = 2.82% probability that all of the sprinklers will operate correctly in a fire

b) 0.6496 = 64.96% probability that at least 7 of the sprinklers will operate correctly in a fire.

Step-by-step explanation:

For each sprinkler, there are only two possible outcomes. Either they will operate correctly, or they will not. The sprinklers activate correctly or not independently, which means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

The researchers estimate the probability of a sprinkler to activate correctly to be 0.7.

This means that [tex]p = 0.7[/tex]

10 sprinklers.

This means that [tex]n = 10[/tex]

a. What is the probability that all of the sprinklers will operate correctly in a fire?

This is [tex]P(X = 10)[/tex]. So

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 10) = C_{10,10}.(0.7)^{10}.(0.3)^{0} = 0.0282[/tex]

0.0282 = 2.82% probability that all of the sprinklers will operate correctly in a fire.

b. What is the probability that at least 7 of the sprinklers will operate correctly in a fire?

This is:

[tex]P(X \geq 7) = P(X = 7) + P(X = 8) + P(X = 9) + P(X = 10)[/tex]

So

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 7) = C_{10,7}.(0.7)^{7}.(0.3)^{3} = 0.2668[/tex]

[tex]P(X = 8) = C_{10,8}.(0.7)^{8}.(0.3)^{2} = 0.2335[/tex]

[tex]P(X = 9) = C_{10,9}.(0.7)^{9}.(0.3)^{1}= 0.1211[/tex]

[tex]P(X = 10) = C_{10,10}.(0.7)^{10}.(0.3)^{0} = 0.0282[/tex]

Then

[tex]P(X \geq 7) = P(X = 7) + P(X = 8) + P(X = 9) + P(X = 10) = 0.2668 + 0.2335 + 0.1211 + 0.0282 = 0.6496[/tex]

0.6496 = 64.96% probability that at least 7 of the sprinklers will operate correctly in a fire.

9514 1404 393

Answer:

  32.7°

Step-by-step explanation:

Solve the given equation for C, then fill in the given values and evaluate.

  C = arccos((a² +b² -c²)/(2ab))

  Y = arccos((50² +90² -55²)/(2·50·90)) = arccos(7575/9000) ≈ 32.7°

__

Y is angle A in the attached triangle solver.

Answer:

D(q) = -(3)/(4,000)q+19.5

Step-by-step explanation:

Given:

overall capacity = 60000

price in point one = 11

spectators in first point = 26000

second point - price = 8

spectators = 30000

solution:

The demand of a product as a function of its price and other factors such as the prices of the substitutes and complementary goods, income is the expression known as demand function. It is represented by D(q)

we have two points in our line for given ques:

first point of line = (26,000, 11)

second point of line = (30,000, 8)

Slope = (11 - 8)/(26,000 - 30,000)

= (3)/(-4,000)

y = mx + b

here, b = factors influencing demand besides price

m = slope

x = price

10 = (3)/(-4,000) )(26,000) + b

b = 19.5

y = -(3)/(4,000)+19.5

D(q) = -(3)/(4,000)q+19.5

Answer:

the statement number D okay!

The y-intercept of the function will be at (0, 2). Then the correct option is A.

Let b is the base and x is the power of the exponent function and a is the leading coefficient. The exponent is given as

y = a(b)ˣ

The function is given below.

y = 2·(3)ˣ

The value of y at x = 0, we have

y = 2·3⁰

y = 2·1

y = 2

The y-intercept of the function will be at (0, 2).

Then the correct option is A.

More about the exponent link is given below.

https://brainly.com/question/5497425

#SPJ5

Answer:

11 1/3 minutes per mile.

Step-by-step explanation:

3/4 miles jogged in 8 1/2 minutes.

So 1 mile jogged in: 8 1/2 divided by 3/4 = 8 1/2 x 4/3  = (17 x 4) / (2 x 3) = 11 1/3 minutes per mile

Answer:

x = 11 1/3 minutes

Step-by-step explanation:

We can write a ratio to solve

3/4 mile              1 mile

----------------- = --------------

8 1/2 minutes        x minutes

Using cross products

3/4 *x = 8 1/2

Multiply each side by 4/3

4/3 * 3/4x = 8 1/2 * 4/3

x = 17/2 * 4/3

x = 34/3

x = 11 1/3

Answer:

The correct solution is "0.0226".

Step-by-step explanation:

The given question seems to be incomplete. Please find below the attachment of the complete query.

According to the question,

Mean

= 29

Standard deviation (s),

= 8

For sample size pf 92,

The standard error will be:

[tex]SE=\frac{s}{\sqrt{N} }[/tex]

     [tex]=\frac{8}{\sqrt{92} }[/tex]

     [tex]=0.834[/tex]

now,

⇒ [tex]1-P(\frac{-1.9}{0.834} < z < \frac{1.9}{0.834} )[/tex] = [tex]1-P(-2.28<z<2.28)[/tex]

or,

                                          = [tex]1-(2\times P(z<2.28)-1)[/tex]

                                          = [tex]2-2\times P(z<2.28)[/tex]

With the help of table, the normal distribution will be:

=  [tex]2-2\times 0.9887[/tex]

= [tex]0.0226[/tex]