This sim plying a algebraic equation by collecting the like terms will mark brainliest TYSM

Answer:

the answer is = 2y + 8

Step-by-step explanation:

(y + 4)2

2y + 4 × 2

2y +8

Answer:

6

Step-by-step explanation:

The prime factorization of 12x is 3*2*2x. The prime factorization of 18 is 2*3*3. The same thing that appears in both prime factorizations is 3*2, or 6.

#B4nliest!

Answer:

No Solution.

Step-by-step explanation:

y=-1-3x

y+3x=3

------------

-1-3x+3x=3

-1=3

no solution

Given: Radius of the wheel = 30 inches, Revolutions per minute = 401 rpmThe linear speed of the car in miles per hour can be calculated as follows:

Step 1: Convert the radius from inches to miles by multiplying it by 1/63360 (1 mile = 63360 inches).30 inches × 1/63360 miles/inch = 0.0004734848 milesStep 2: Calculate the distance traveled in one minute by the wheel using the circumference formula.Circumference = 2πr = 2 × π × 30 inches = 188.496 inchesDistance traveled in one minute = 188.496 inches/rev × 401 rev/min = 75507.696 inches/minStep 3: Convert the distance traveled in one minute from inches to miles by multiplying by 1/63360.75507.696 inches/min × 1/63360 miles/inch = 1.18786732 miles/minStep

4: Convert the distance traveled in one minute to miles per hour by multiplying by 60 (there are 60 minutes in one hour).1.18786732 miles/min × 60 min/hour = 71.2720392 miles/hour Therefore, the linear speed of the car is 71.3 miles per hour (rounded to the nearest tenth).Answer: 71.3

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The radius of the wheel on a car is 30 inches. If the wheel is revolving at 401 revolutions per minute, The linear speed of the car is approximately 19.2 miles per hour.

To find the linear speed of the car in miles per hour, we need to calculate the distance traveled in one minute and then convert it to miles per hour. Here's how we can do it step by step:

Calculate the circumference of the wheel:

The circumference of a circle is given by the formula

C = 2πr

where r is the radius of the wheel.

In this case, the radius is 30 inches, so the circumference is

C = 2π(30)

   = 60π inches.

Calculate the distance traveled in one revolution:

Since the circumference represents the distance traveled in one revolution, the distance traveled in inches per revolution is 60π inches.

Calculate the distance traveled in one minute:

Multiply the distance traveled in one revolution by the number of revolutions per minute.

In this case, it is 60π inches/rev * 401 rev/min = 24060π inches/min.

Convert the distance to miles per hour:

There are 12 inches in a foot, 5280 feet in a mile, and 60 minutes in an hour.

Divide the distance traveled in inches per minute by (12 * 5280) to convert it to miles per hour.

The final calculation is (24060π inches/min) / (12 * 5280) = (401π/66) miles/hour.

Approximating π to 3.14, the linear speed of the car is approximately (401 * 3.14 / 66) miles per hour, which is approximately 19.2 miles per hour.

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Answer:

G

Step-by-step explanation:

I did this assignment yesterday

Answer:

x = 91

y = 98

Your answer is F.

Step-by-step explanation:

Since a straight angle is 180° you have to subtract 89 from 180 and 82 from 180.

180 - 89 = 91

180 - 82 = 98

Hope this helps, and have a wonderful day! :)

The number of each type of coin in the jar is 76 quarters and 83 dimes.

Given data :

Thomas collects dimes and quarters in his change jar.

If he has 7 more dimes than quarters, and the total amount of money in the jar is $27.30.

Let, x be the number of the dimes.

And y be the number of quarters.

If he has 7 more dimes than quarters,

y = x + 7

The total amount of money in the jar is $27.30.

0.25x + 0.10y = 27.30

Substitute the value of y in equation 2

0.25x + 0.10(x + 7) = 27.30

0.25x + 0.10x + 0.7 = 27.30

0.35x = 27.30 - 0.7

0.35x = 26.6

x = 26.6 / 0.35 = 76

Substitute the value of x in equation 1

y = x + 7

y = 76 + 7 = 83

Hence, there are 76 quarters and 83 dimes in the jar.

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For Quadrilateral ABCD is reflected over the x-axis, the coordinates of A' is at A'(2, 4)

For Quadrilateral ABCD is translated 2 units right and 1 unit down, the coordinates of A' is at A'(4, -5)

For Quadrilateral ABCD is dilated by a scale factor of 3, the coordinates of A' is at A'(6, -12)

For Quadrilateral ABCD is rotated 180° clockwise about the origin the coordinates of A' is at A'(-2, 4).

Transformation is the movement of a point from its initial location to a new position. The types of transformation include dilation, reflection, translation, and rotation. From the image attached, the coordinates of point A is at (2, -4).

If a point A(x, y) is reflected over the x-axis, the new point is at  A'(x, -y)

If a point A(x, y) is translated units right and b units down, the new location is at A'(x + a, y - b)

If a point A(x, y) is dilated by  factor of a, the new location is at A'(ax, ay)

If a point A(x, y) is  rotated 180° clockwise about the origin, the new location is at A'(-x, -y)

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Answer:

.58 miles/minute

Step-by-step explanation:

56 kilometers/hour * 0.621371 miles/kilometer * 1 hour/60 minutes

= .58 miles/minute

Answer:

Step-by-step explanation:

Whats yo ig???

Answer:

($410 - $60) / $70 = 5

After subtracting the $60 base fee, you can just divide the hours paid for by the hourly wage and find out how many hours were worked. Hope this helps!

The example that is not an example of instrumental (operant) conditioning is option a.

When Raluca's teacher praises her in class for her fine oral description of a mathematical problem, and Raluca becomes embarrassed and vows never to act so smart in front of her friends again.

Instrumental conditioning, also known as operant conditioning, involves the association between a behavior and its consequences, which in turn influences the likelihood of that behavior recurring in the future. In instrumental conditioning, behaviors are strengthened or weakened based on the consequences they produce.

Option b, c, and d all demonstrate instrumental conditioning. In option b, Diallo changes the time of day he does his homework and finds that he is doing better, so he continues to do his homework at that new time. This shows that the behavior of doing homework at the new time is reinforced by the positive consequence of doing better.

In option c, Danny tells a funny joke, and his classmates' laughter serves as a positive consequence that reinforces his behavior of telling jokes. This leads to an increase in the behavior of telling jokes, and Danny becomes the class clown.

In option d, Michelle discovers that she can leave her mathematics class early by complaining about a stomachache. By receiving the positive consequence of leaving early, her behavior of complaining about a stomachache is reinforced, leading to an increase in the occurrence of this behavior.

However, in option a, Raluca's embarrassment and her decision to not act smart in front of her friends again are not consequences that reinforce or strengthen her behavior. Instead, her embarrassment leads to the avoidance of the behavior, suggesting that this example is not an illustration of instrumental conditioning.

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The effective interest on £2000 at a 3% interest rate compounded quarterly over a period of 4 years is approximately £245.15.

To calculate the effective interest, we need to use the formula for compound interest:

A = P(1 + r/n)^(nt)

Where:

A = the future value of the investment (including interest)

P = the principal amount (initial investment)

r = the annual interest rate (as a decimal)

n = the number of compounding periods per year

t = the number of years

In this case, the principal amount (P) is £2000, the annual interest rate (r) is 3% (or 0.03 as a decimal), the compounding is done quarterly (n = 4), and the investment period (t) is 4 years.

Plugging the values into the formula:

A = £2000(1 + 0.03/4)^(4*4)

= £2000(1 + 0.0075)^16

= £2000(1.0075)^16

≈ £2000(1.126825)

Calculating the future value:

A ≈ £2253.65

To find the effective interest, we subtract the principal amount from the future value:

Effective Interest = £2253.65 - £2000

≈ £253.65

Therefore, the effective interest on £2000 at a 3% interest rate compounded quarterly after 4 years is approximately £253.65.

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Answer:

D

Step-by-step explanation:

The probability of success is Option D. 0.65.

Given that the probability of failure in a binomial event is 0.35.

To find the probability of success.

Probability refers to a possibility that deals with the occurrence of random events.

The probability of all the events occurring need to be 1.

The sum of probability of success and failure is 1

The probability of success in a binomial event is P(F)=0.35.

P(F) + P(S) = 1

P(S) = 1 - P(F)

P(S) = 1 - 0.35

P(S) = 0.65

Therefore, Option D is correct.

The probability of success is 0.65.

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The required expression for Jose's height is 2j + 7.

Given that,

Height of Jose = j

Here we have to find the mathematical expression for the given statement.

And we know that Using operations like addition, subtraction, multiplication, and division, a mathematical expression is defined as a group of numerical variables and functions.

The proceed formation of expression,

The twice of Jose's height = 2j

Therefore,

7 more than Jose's height can be represented as

⇒ 2j + 7

Hence the expression is   2j + 7

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Step-by-step explanation:

The exact question is as follows :

Given - The student who traveled to 3 states visited 6 new states during a vacation.

To find - Does increasing the 3 to 6 change the​ median? If​ so, how?

Proof -

Yes,

If we increase the 3 states to 6 states, it changes the median

Because

The median of the first 3 states is the middle state.

For example -

If we have 3 states X, Y, Z

Then the median is the state Y

Now,

The median of 6 states is the average of the 2 middle states.

For example -

If we have 6 states

X, Y, Z, U, V, W

Then

The median is not explicit.

Median is the average of the two middle states, Z and U.

And

Average of Z and U =  half of the sum of Z and U.

i.e.  (Z + U)/2.

And we can see that,

Median of 3 States is not equal to Median of 6 states

i.e. Y is not equal to (Z + U)/2.

So,

We can say that,

Increasing the state 3 to 6 changes the​ median.

Answer:

90

Step-by-step explanation:

Tangents meet the end of a radius that is not at the center of a circle.

The tangent  makes a 90 degrees angle with that end of the radius.

Answer:

m<CPX = 90°

Step-by-step explanation:

The line tangent to a circle states that when a line is a tangent to a circle, a radius that is drawn from the center to the circle to the point of tangency will be perpendicular to the tangent line

Apply this theorem to the given circle, one can state that (m<CPX= 90°) and (m<CPY = 90°), since (XY) is tangent to the circle will radius (CP).

Answer:

y + 3 = (6)(x - 6)

Step-by-step explanation:

The proper format for this equation y-1/6x+9 is y = (-1/6)x+9.

Any line perpendicular to y = (-1/6)x+9 has the slope which is the negative reciprocal of that of y = (-1/6)x+9, or the negative reciprocal of -1/6.  That is +6.  

Thus, the desired line, which passes through (6, -3), is found using the point-slope formula for the equation of a straight line:

y + 3 = (6)(x - 6)

Answer. 1/36

Step-by-step explanation:

1/6 chance 6 sides 6^2 cause gotta hit 1 twice so 6 Squared is 36 so 1 in 36 chance

Answer:

Between 6-7

Step-by-step explanation:

The square root of 47 is in-between 6 (36) and 7 (49), and is closer to 7 than to 6.

*Formatting is a little off, so apologies if this isn't the exact answer you're looking for

\(\begin{array}{ccll} miles&\stackrel{gasoline}{gallons}\\ \cline{1-2} 315 & 63\\ 5& x \end{array} \implies \cfrac{315}{5}~~=~~\cfrac{63}{x} \\\\\\ 63=\cfrac{63}{x}\implies 63x=63\implies x=\cfrac{63}{63}\implies x=1\)

Answer:

a

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Answer:

sam has 3 balls left

Step-by-step explanation:

Answer: she has 3 left

Step-by-step explanation:

Lineweaver-Burk plot is the graphical representation of enzyme kinematics. The y intercept of the plot gives 1/Vmax. So Vmax can be determined from y-intercept.

Lineweaver-Burk plot is made by Plotting 1/V vs 1/[S]. 1/V is on the y-axis and1/[S] is on the X-axis. V is the reaction velocity and [s] is the substrate concentration. It is used for studying action of inhibitors and extrapolation of data to hypothetical negative substrate concentrations.

The slope of the graph gives Km/Vmax and the x-intercept gives -1/Km. The y-intercepts gives the values of Vmax. We get the value of 1/Vmax and taking the reciprocal we can calculate the Vmax.

So using a Lineweaver-Burk plot we could understand the enzyme activity better.

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Option- 3 is correct that is both a and b are true.

a. The statement is true that is cosx = \(1 - \frac{sinx}{cscx+cotx}\)

b. The statement is true that is sinx = \(1 - \frac{cosx}{secx+tanx}\)

Given that,

a. We have to prove the statement is true or false.

Statement: cosx = \(1 - \frac{sinx}{cscx+cotx}\)

Now, Take the right hand side

= \(1 - \frac{sinx}{cscx+cotx}\)

= \(1 - \frac{sinx}{\frac{1}{sinx} +\frac{cosx}{sinx} }\)

By using LCM

= \(1 - \frac{sinx}{\frac{1+cosx}{sinx} }\)

= \(1 - \frac{sinx\times sinx}{1+cosx} }\)

= \(1 - \frac{sin^2x}{1+cosx} }\)

= \(\frac{1+cosx - sin^2x}{1+cosx} }\)

We know from trigonometric identities 1 - sin²x = cos²x

= \(\frac{cos^2x+cosx }{1+cosx} }\)

= \(\frac{cosx(1+cosx )}{1+cosx} }\)

= cosx

LHS = RHS

Therefore, The statement is true

b. We have to prove the statement is true or false.

Statement: sinx = \(1 - \frac{cosx}{secx+tanx}\)

Now, Take the right hand side

= \(1 - \frac{cosx}{secx+tanx}\)

= \(1 - \frac{cosx}{\frac{1}{cosx} +\frac{sinx}{cosx} }\)

By using LCM

= \(1 - \frac{cosx}{\frac{1+sinx}{cosx} }\)

= \(1 - \frac{cosx\times cosx}{1+sinx} }\)

= \(1 - \frac{cos^2x}{1+sinx} }\)

= \(\frac{1+sinx - cos^2x}{1+sinx} }\)

We know from trigonometric identities 1 - cos²x = sin²x

= \(\frac{sin^2x+sinx }{1+sinx} }\)

= \(\frac{cosx(1+sinx )}{1+sinx} }\)

= sinx

LHS = RHS

Therefore, The statement is true

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To prove the identity sinh(2x) = 2 sinh(x) cosh(x), we can use the definitions of sinh(x) and cosh(x) and apply trigonometric identities for exponential functions.

We start with the left-hand side of the identity, sinh(2x). Using the definition of the hyperbolic sine function, sinh(x) = (e^x - e^(-x))/2, we can substitute 2x for x in this expression, giving us sinh(2x) = (e^(2x) - e^(-2x))/2.

Next, we focus on the right-hand side of the identity, 2 sinh(x) cosh(x). Again using the definitions of sinh(x) and cosh(x), we have 2 sinh(x) cosh(x) = 2((e^x - e^(-x))/2)((e^x + e^(-x))/2).

Expanding this expression, we get 2 sinh(x) cosh(x) = (e^x - e^(-x))(e^x + e^(-x))/2.

By simplifying the right-hand side, we have (e^x * e^x - e^x * e^(-x) - e^(-x) * e^x + e^(-x) * e^(-x))/2.

This simplifies further to (e^(2x) - 1 + e^(-2x))/2, which is equal to the expression we derived for the left-hand side.

Hence, we have proved the identity sinh(2x) = 2 sinh(x) cosh(x) by showing that the left-hand side is equal to the right-hand side through the manipulation of the exponential functions.

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Answer:

9/25

Step-by-step explanation:

1-0.64=0.36

0.36≡9/25

Answer:

Step-by-step explanation:

length. To find the missing horizontal length, we will look at the values of the other horizontal lengths. Looking at the composite shape, the side that is 12 cm long is the same as both the missing side plus the side that is 4 cm long. We can therefore find the missing length by subtracting 6 cm from 9 cm.

Answer:

To find the missing horizontal length, we will look at the values of the other horizontal lengths. Looking at the composite shape, the side that is 12 cm long is the same as both the missing side plus the side that is 4 cm long. We can therefore find the missing length by subtracting 6 cm from 9 cm

Step-by-step explanation:

The approximation or the rounding off number is A = 840,000

Given data ,

Let the number be represented as n

Now , let the rounded number be represented as A

where n = 837,796

And , number 837,796 can be approximated to the nearest ten thousand, which is 840,000

Hence , the rounded number is A = 840,000

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