Find the x- and y-intercepts of the graph of the equation.
f(x) = 4x – 12
x-intercept
(x, y) =
y-intercept
(x, y) =

We see here that new thousand is actually liken to be the result in thousand that is gotten after carrying out an operation.

A thousand is a number that denotes the sum of 1,000 units or ten hundreds.

The word "thousand" is frequently used in daily speech to denote a significant but limited amount, such as a thousand money, a thousand individuals, or a thousand pages. Alternatively, it can be used as a round number to denote an approximation, as in "a thousand times" or "a thousand and one nights."

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The estimated sum of 7 83/84 is 8 to the nearest whole number.

Mixed fractions are fraction that has a whole number attached to an improper fraction. A mixed fraction can be added by first adding the real whole numbers together, then adding their improper fraction counterparts with it.

Also, we can add two mixed fractions together by first converting all the mixed fractions to improper fractions before adding them together.

Using the first process:

= 4 5/12 + 3 8/14

The whole number are 4 and 3, adding those two together, we have:

= 7 (5/12 + 8/14)

The L.C.M of 12 and 14 is 84.

= 7( (7×5)+ (6*8) )  /84

= 7 (35+ 48/84)

= 7 (83/84)

To decimal, we get 7.988. Therefore, the estimated sum of 7 83/84 is 8 to the nearest whole number.

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The area of the circle created by the paint is given by the expression 4πt².

The area of the circle is 100π, which is approximately 314.16 in².

The circle will be at least 300 in² in 5 minutes. Yes.

To find the area of the canvas, we multiply the lengths of its sides:

Area = (3x + 5) × (2x + 1)

Expanding the expression:

Area = 6x² + 3x + 10x + 5

Combining like terms:

Area = 6x² + 13x + 5

The area of the canvas is given by the expression 6x² + 13x + 5.

Now, let's find the area of the circle created by the paint.

The area of a circle is given by the formula A = πr², where r represents the radius.

The radius is given by the spreading of paint, which is r(t) = 2t.

Substituting the value of r(t) into the formula, we have:

A[r(t)] = π(2t)²

Simplifying:

A[r(t)] = π(4t²)

A[r(t)] = 4πt²

Now, let's determine if the area of the circle will be at least 300 in² in 5 minutes.

Substitute t = 5 into the area formula:

A[r(5)] = 4π(5)²

A[r(5)] = 4π(25)

A[r(5)] = 100π

Since 314.16 in² is larger than 300 in², the circle created by the paint will be larger than 300 in² in 5 minutes.

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Answer:

a b c or d?

Step-by-step explanation:

Answer: If a superball is dropped from a height of h feet and left to bounce forever, the total time needed for all this bouncing to take place can be represented by the formula:

t = h / (r - 1)

where t is the total time, h is the height from which the ball is dropped, and r is the rebound ratio of the ball.

The rebound ratio of the ball is the fraction of the ball's initial height that it bounces back up after each bounce. For example, if a ball has a rebound ratio of 0.5, it will bounce back up to half its initial height after each bounce.

The total time needed for the ball to bounce forever is equal to the height from which the ball is dropped divided by the difference between the rebound ratio and 1. This is because the ball will bounce back up a fraction of its initial height after each bounce, and the total time needed for all the bounces to take place is determined by the difference between the height of the ball and the fraction of the height that it bounces back up.

The inverse of the equation is determined as \(y = \log_{6}(-3x)\).

option D is the correct answer.

The inverse of the equation is calculated by applying the following method;

The given equation;

y = - 6ˣ/3

The inverse of the equation is calculated as;

multiply through by 3

\(-3x = 6^y\)

Take the logarithm of both sides of the equation with base -6:

\(\log_{6}(-3x) = y\)

Finally, replace y with x to obtain the inverse equation as follows;

\(y = \log_{6}(-3x)\)

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The answer would be 10 I believe.

Answer:

13/15 of 1 mile, or 0.86666 miles

Step-by-step explanation:

If you are working with fractions, you can take the 2 3/5 miles of beach and convert that to 13/5 (10/5 = 2, then add the 3/5 = 10/5+3/5 = 13/5). Once converted, you can find out how much of that number allows pets by dividing that number by 3, or multiplying the result by 1/3.

13/5 * 1/3 = 13/15.

Another way to do this is to convert the original miles (2 3/5) to a decimal, which gives you 2.6 miles. Then take the 2.6 miles and again, either divide by 3 or multiply by 1/3 (which is basically the same thing). 2.6 ÷ 3 = 0.86666

Hope this helps!

Answer:

224/2 = 112

112+116 = 228

228

Step-by-step explanation:

The number she'd have is:

Explanation:

First, let's see which number is in the tens place and which number is in the ones place (the units place).

In the number 548, the place value of 5 is hundreds, the place value of 4 is tens, and the place value of 8 is ones (or units).

So if Sera adds two to the units, she'll have 10. But, since we can't write the number as 5410 (that would be a totally different number), we just write 0 in the units place, and shift 1 to the tens place, which gives us :

550

That's not all, since we also add 1 to the tens:

560

Answer:

So the answer is

Step-by-step explanation:

x)2943

Answer:The x values of the “and” inequality satisfy both inequalities.

The x values of the “or” inequality satisfy one or both inequalities.

Changing the compound inequality from “and” to “or” changes the solution set from the values between –3 and 3 for all real numbers.

Step-by-step explanation:

that's all u need

Answer: -18

Step-by-step explanation:

((-3)2)3

((-3) x 2) x 3

Apply rule (-a) = - a

(-3) = -3

-3 x 2 x 3

-6 x 3

= -18

Step-by-step explanation:

it just means

z = k×x²/y³

12 = k×8²/2³ = k×64/8 = k×8

k = 12/8 = 3/2

24 = k×x²/1³ = 3/2 × x²/1 = 3/2 × x²

24/(3/2) = x²

48/3 = x²

16 = x²

x = 4 or

x = -4

The first thing is to calculate the value of the root.

therefore, is between -12 and -13

decimal estimate: 0.24

Answer:

420

Step-by-step explanation:

Multiply length, times width, times height to get your answer.

7 times 12 times 5=420

The exact value of sin(5π/12) is (√6 + √2)/4

From the question, we have the following parameters that can be used in our computation:

sin 5pi/12

Express properly

So, we have

sin(5π/12)

Convert the angle to degrees

This gives

sin(5π/12) = sin(5/12 * 180)

Evaluate

sin(5π/12) = sin(75)

The actual value of sin(75) is (√6 + √2)/4

This means that

sin(5π/12) = (√6 + √2)/4

Hence, the exact value of sin(5π/12) is (√6 + √2)/4

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The exact value of sin 5π/12 is (√6 + √2)/4

The trigonometric functions are real functions which relate an angle of a right-angled triangle to ratios of two side lengths.

Angle in trigonometry can be measured in either degree or radian.

π is a measurement in radian which is equivalent to 180° in degrees.

Therefore:

5π/12 = 5 × 180/12

= 75°

Therefore sin5π/12 = sin75°

sin75 = sin( 45+30) = sin45cos30+ cos 45sin30

= 1/√2 × √3/2 + 1/√2 × 1/2

= √3/2√2 + 1/2√2

= (√3+1)/2√2

rationalizing;

(2√6 + 2√2)/8

dividing through by 2

=(√6 + √2)/4

therefore tan75 =(√6 + √2)/4

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Answer:

you find the coordinates of Point B and E, plot a linear diagram and measure distance. you then minus the distance of CE

Hope this helps!

Also can I please have Brainliest?

Only if I'm right of course...

Answer:

6

Step-by-step explanation:

The given diagram implies that the triangle $ABC$ is an isosceles triangle with angles of $24^\circ$. This can be verified by computing the length of the hypotenuse and using the Pythagorean Theorem.

Equation is a mathematical expression that consists of variables, symbols, and numbers, and shows the relationship between different quantities. An equation can involve one or more unknowns, and can be represented as an equality or as an inequality. Solving an equation requires understanding the relationship between the different elements in the equation, and manipulating the equation to isolate the unknowns. Common types of equations include linear equations, quadratic equations, and polynomial equations.

From this diagram, we can conclude that $\angle ABC$ is an isosceles triangle. This is because the angles opposite equal sides of a triangle must be equal. Since $\angle BAC=24^\circ$, $\angle ABC$ must be $24^\circ$. Furthermore, the sides $AB$ and $AC$ are equal, so $ABC$ is an isosceles triangle.

This conclusion can be verified by using the Pythagorean Theorem. If $AB=AC$, then it follows that $BC = \sqrt{AB^2 + AC^2} = \sqrt{2AB^2}$. Since $AB=3$, it follows that $BC=\sqrt{2*3^2}=6$. Therefore, the triangle $ABC$ is a right triangle with legs of length 3 and hypotenuse of length 6. Since $\angle BAC = 24^\circ$, it follows that $\angle ABC = 24^\circ$, verifying that the triangle is isosceles.

In conclusion, the given diagram implies that the triangle $ABC$ is an isosceles triangle with angles of $24^\circ$. This can be verified by computing the length of the hypotenuse and using the Pythagorean Theorem.

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Answer:

78

Step-by-step explanation:

If a rectangular prism has a length of 2 meters, a width of 4 meters, and a height of 2 meters. The volume of the prism is 16 cubic meters.

The volume of a rectangular prism is given by the formula:

Volume = length x width x height

Substituting the given values, we get:

Volume = 2 meters x 4 meters x 2 meters

Simplifying this expression, we get:

Volume = 16 cubic meters

Therefore, the volume of the prism is 16 cubic meters.

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Answer:

Null hypothesis: H0 = 0.65

Alternative hypothesis: Ha ≠ 0.65

z = 1.172

P value = P(Z≠1.172) = 0.24

Decision we fail to reject the null hypothesis. That is, there is convincing evidence enough to reject the Null hypothesis.

Rule

If;

P-value > significance level --- accept Null hypothesis

P-value < significance level --- reject Null hypothesis

Z score > Z(at 95% confidence interval) ---- reject Null hypothesis

Z score < Z(at 95% confidence interval) ------ accept Null hypothesis

Step-by-step explanation:

Given;

n=80 represent the random sample taken

Null hypothesis: H0 = 0.65

Alternative hypothesis: Ha ≠ 0.65

Test statistic z score can be calculated with the formula below;

z = (p^−po)/√{po(1−po)/n}

Where,

z= Test statistics

n = Sample size = 80

po = Null hypothesized value = 0.65

p^ = Observed proportion = 57/80 = 0.7125

Substituting the values we have

z = (0.7125-0.65)/√(0.65(1-0.65)/80)

z = 1.17201807734

z = 1.172

To determine the p value (test statistic) at 0.05 significance level, using a two tailed hypothesis.

P value = P(Z≠1.172) = 0.241197 = 0.24

Since z at 0.05 significance level is between -1.96 and +1.96 and the z score for the test (z = 1.172) which falls within the region bounded by Z at 0.05 significance level. And also the one-tailed hypothesis P-value is 0.24 which is higher than 0.05. Then we can conclude that we have enough evidence to FAIL to reject the null hypothesis, and we can say that at 5% significance level the null hypothesis is valid.

Answer:

D

Step-by-step explanation:

Answer:

The probability that 2 or more of the original 5,100 components may fail during the useful life of the product is:

= 0.001

Step-by-step explanation:

Probability of operating without failure = 0.999

The probability of failed component = 0.001 (1 - 0.999)

The number of components of the electronic office product = 5,100

The number of components that may fail, given the above successful operation = 5.1 (0.001 * 5,100).

Therefore, the probability that 2 or more of the original 5,100 components may fail during the useful life of the product = 0.001

Probability of component failure is the likelihood that a component fails during the useful life of the product.  It is expressed as the number of likely failed components divided by the total number of components.  This result can be left in decimal form or expressed as a percentage.

Following are the solution to the given expression:

\(\to \text{p = p (failure)} = 1 -0.999 = 0.001 \\\\\)

We employ the binomial approximation of the normal distribution with mean.

\(\to \mu = np = 5100(0.001) = 5.1 \\\\ \to \text{standard deviation} \ (\sigma) = \sqrt{np(1-P)}\)

                                         \(= \sqrt{5100(0.001)(1-0.001)} \\\\ = \sqrt{5.1 \times (0.999)} \\\\= \sqrt{5.0949 } \\\\= 2.2572\)

It require \(p(x\geq 2)\) but we find \(p(x \geq 1.5)\),  because of \(0.5\) correction.

Here

\(\to z = \frac{X-\mu}{\sigma }\)

       \(=\frac{1.5-5.1}{2.2572} \\\\ =\frac{-3.6}{2.2572} \\\\ = -1.59 \\\\\)

Calculating the required probability:  

\(\to p(z \geq -1.59)\)

\(=1+ p(z< 1.59) \\\\= 1+ 0.9440826\) , by standard normal table  

\(= 1.9440826 \approx 1.944\)

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Answer:

$706.77 total cost of bicycle

Step-by-step explanation:

$658.99 x .0725 = $47.776   (Move decimal twicw to left to change to decimal)

$658.99 + $47.776 = $706.766 = $706.77

Answer:

x=4y+24/5

Step-by-step explanation:

add 4y

Divide by 5

Answer:

The values of p = 0 < p ≤ 2/3

Step-by-step explanation:

First we write the probability of 6V flashlight working representing it as a binomial mass function of a binomial random variable

P ( 6v flashlight working  ) = P ( at least one 6V battery works )

                                           = P ( 1 6v battery work )  + P ( 2  6v battery work )

                                           = b( 2; 2, p ) + b( 1; 2, p )

write out a formula of  b( 2; 2, p ) + b( 1; 2, p )

P ( 6v flashlight working  )  = p^2 + 2p( 1 - p )

Next we write the probability of D flashlight working representing it as a binomial mass function of a binomial random variable

P ( D flashlight works ) = p ( at least two D batteries works )

                                     = b( 4; 4, p ) + b(3;4, p ) + b(2; 4, p )

write out a formula of  b( 4; 4, p ) + b(3;4, p ) + b(2; 4, p )

P ( D flashlight works ) = \(P^4 + 4p^3 ( 1- p ) + 6p^2 ( 1- p)^2\)

attached below is the remaining solution

Answer: 6,001 milliliters

Step-by-step explanation: 6 Liter translates to 6,000 milliliters, which is 1 less than 6,001 milliliters.

Answer:

I believe 6 liters is more.

Answer:10

Step-by-step explanation: