What is the y-intercept of the following equation?
y=x2-3x-4

Answer:

B; the angles of the triangle and the hypothnuse can be multiplied.

Answer:

k = 5/6

Step-by-step explanation:

The √ can be rewrite as a power, and this power is 1/2

So √a = a^1/2, and it is multiplying a, so we add the powers: a¹•a^1/2 = a^(1+1/2) = a^3/2

And the ³√ can be rewrite as the power 1/3, but the a inside the ³√ is to the power of 2, so we can rewrite it like this: (a²)^1/3

And to evaluate this we have to multiply the powers, so we will have: a^2/3

Now we have this fraction:

\( \frac{ {a}^{ \frac{3}{2} } }{ {a}^{ \frac{2}{3} } } \)

A fraction with powers in the same base can be rewrite like a subtraction of the powers, so let's do that:

\( \frac{ {a}^{ \frac{3}{2} } }{ {a}^{ \frac{2}{3} } } = {a}^{ \frac{3}{2} - \frac{2}{3} } = {a}^{ \frac{5}{6} } \)

Step-by-step explanation:

sometimes its good to use real numbers

odd numbers under 10 are good

Kiran is older than Mohal

Their ages are consecutive odd integers

so lets make Kiran 9 & Mohal 7

Find Kiran's age = x or 9

if the sum means add

square of Kiran's age means

x^2 or 9^2 or 81

and means +

3 times Mohal's age

3 * y or 7

is means =

64 so...

x^2 + y = 64

important ****

Their ages are consecutive odd integers

if Kiran is x and

mohal is y and

Their ages are consecutive odd integers

then

y + 2 = x

like for example 7 and 9 are consecutive odd integers

and the difference between them is always 2 so

x^2 + y = 64

change x into y by using

y + 2 = x

(y+2)^2 + y = 64

(y+2)(y+2) =

y^2 +4y + 4 + y = 64

y^2 +5y -60 =

Kiran age is 7 years old.

An expression contains one or more terms with addition, subtraction, multiplication, and division.

We always combine the like terms in an expression when we simplify.

We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.

Example:

1 + 3x + 4y = 7 is an expression.com

3 + 4 is an expression.

2 x 4 + 6 x 7 – 9 is an expression.

33 + 77 – 88 is an expression.

We have,

Let's start by representing Kiran's age as x.

Since Kiran is older than Mohal,

Mohal's age is x-2 (the previous odd integer).

We know that their ages are consecutive odd integers, so the difference between their ages is 2:

x - (x - 2) = 2

Simplifying, we get:

2 = 2

This is true, so we know that our representation of their ages is correct.

Now we can use the given information to set up an equation:

x² + 3(x-2) = 64

Expanding and simplifying, we get:

x² + 3x - 70 = 0

Now we can solve for x using the quadratic formula:

x = (-3 ± √(3² - 4(1)(-70))) / (2(1))

x = (-3 ± √(289)) / 2

x = (-3 ± 17) / 2

x = 7 or x = -10

Since we know that Kiran is older than Mohal, Kiran's age must be positive. Therefore, Kiran is 7 years old and Mohal is 5 years old.

We can check that this satisfies the given condition:

7² + 3(5) = 49 + 15 = 64

Thus,

Kiran age is 7 years old.

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The best estimate for the weight of a cantaloupe is 2 kilograms (B).

A decigram is 1/10th of a gram, which would be too small of weight for a cantaloupe. 2 grams (C) is also too small for a cantaloupe as it would only be the weight of a few small seeds. 2 milligrams (D) is an extremely small weight, only suitable for a single grain of salt or a tiny insect.

Therefore, 2 kilograms (B) is the most reasonable estimate for the weight of a cantaloupe as it falls within the typical range of cantaloupe weights.

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Complete Question:

Choose the best estimate for the weight of a cantaloupe. Responses

A 2 decigrams

B 2 kilograms

C 2 grams

D 2 milligrams

Answer:

|x+3|>8

Step-by-step explanation:

x is positive, so remove the absolute value signs. Adding a number greater than 5 to 3 will result in a number greater than 8.

what are the prices?

The function f(x) = -3x^3 + 14x^2 + 3x - 28 can be expressed in the form f(x) = (x - k)q(x) + r(x), where k = 3 + √2 and we need to determine the value of r such that f(k) = r. We can then substitute k into the function to find f(3 + √2).

To express the function f(x) = -3x^3 + 14x^2 + 3x - 28 in the desired form, we need to factor out (x - k) from the polynomial. Given k = 3 + √2, we have:

f(x) = -3x^3 + 14x^2 + 3x - 28

= (x - (3 + √2))q(x) + r(x)

To find the value of r, we substitute k = 3 + √2 into the function:

f(k) = -3(3 + √2)^3 + 14(3 + √2)^2 + 3(3 + √2) - 28

By evaluating this expression, we can determine the value of f(3 + √2), which will be equal to r.

Note: The calculation of f(3 + √2) involves simplifying the polynomial expression, which can be done using algebraic techniques.

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Given,

7p-11p+3>3-4p

-4p+3>3-4p

-4p>-4p

which is absured.

So there is no solution of the inequality.

To find the percentage rate of change of a function at a specific point, we need to find the derivative of the function. The percentage rate of change of f(t) = e^-0.09t^2 at t=1 and t=5 is approximately -17.75% and -13.65%, respectively.

To find the percentage rate of change of a function at a specific point, we need to find the derivative of the function at that point and then multiply it by 100%. Thus, the derivative of f(t) is given by:

f(t)=e^-0.09t^2

f'(t) = (-0.18t)e^(-0.09t^2)

Evaluating f'(1) and f'(5) yields:

f'(1) = (-0.18)(1)e^(-0.09(1)^2) ≈ -0.1606

f'(5) = (-0.18)(5)e^(-0.09(5)^2) ≈ -0.1851

To find the percentage rate of change, we multiply the derivative by 100% and divide by the function value at the respective point:

Percentage rate of change at t=1:

= (f'(1)/f(1)) * 100%

= (-0.1606/e^-0.09) * 100%

≈ -17.75%

Percentage rate of change at t=5:

= (f'(5)/f(5)) * 100%

= (-0.1851/e^-0.09) * 100%

≈ -13.65%

Therefore, the percentage rate of change of f(t) at t=1 and t=5 is approximately -17.75% and -13.65%, respectively.

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If the numbers denoting the perimeter and area of the square are equal, the length of the diagonal will be 4√2 units.

What are Area and Perimeter?

An object's shape defines a region as its area. The area of a figure or any other two-dimensional geometric shape is how much space it takes up in a plane.

The whole length encircling a shape is referred to as its perimeter. Simply put, if a shape is stretched into a linear form, its perimeter is its length. In a two-dimensional plane, a shape's perimeter is the sum of its total dimensions.

Let the side of the square to be 'a'.

If Area and Perimeter of a square are equal then,

So,  Area = Perimeter

      a^2 = 4a

we get, a = 4 units.

Now, we can find the diagonal by using Pythagoras theorem,

We know that, Hypotenuse^2 = Base^2 + Perpendicular^2

Here, the hypotenuse will be the diagonal of the square.

So, We have,

            Diagonal^2 = 4^2 + 4^2

                                = 16 + 16

                                = 32

∴ Diagonal = √32 = 4√2 units.

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The logarithm of 7 with base 7 is equal to 1, since any number to the power of 1 is equal to itself.

The logarithm of a number is the exponent to which a base number must be raised to produce that number. For example, the logarithm of 10 with base 2 is 3, since 2 to the power of 3 is equal to 10. In this case, the logarithm of 7 with base 7 is equal to 1, since any number to the power of 1 is equal to itself.

This is because logarithms have the property that logb b = 1. This means that the logarithm of a number with the same base as the number itself is always equal to 1. This is why, in the case of log7 7, the answer is 1.

Logarithms can be used to simplify mathematical equations, as logarithms of multiplication and division are equal to the sums and differences of the logarithms of the individual numbers. They are also used in many scientific and engineering applications, such as calculating the pH of a solution.

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Answer:

Unlikely

Step-by-step explanation:

Certain= 100% chance of your event occuring.

Impossible = 0% chance of your event occuring.

Neither of these apply.

Likely= >50% = >4/8

Unlikely= <50% = <4/8

Unlikely

Answer:I think CBD

Step-by-step explanation:

Answer:

100 times more

Step-by-step explanation:

if you multiply 7,000,000 by 1000 you get 7,000,000,000

Therefore, in a 2x2 table, the pattern of cell frequencies that would indicate independence is d. All cell frequencies are exactly the same.

In a 2x2 contingency table, the expected cell frequencies under the null hypothesis of independence are equal for all cells. If the observed cell frequencies in the table are approximately equal to the expected cell frequencies, then we can conclude that there is no significant association between the two variables being studied. In other words, the pattern of observed cell frequencies is consistent with the null hypothesis of independence. Therefore, if all cell frequencies are exactly the same, it suggests that the variables are independent, as each cell has an equal chance of being filled by any observation regardless of the value of the other variable.

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-9u - v = -49i - 33j

To find -9u - v, you need to multiply the vector u by -9 and subtract the vector v from the result.

Given u = 5i + 4j and v = 4i - 3j, first multiply u by -9:

-9u = -9(5i + 4j) = -45i - 36j

Now, subtract the vector v from -9u:

-9u - v = (-45i - 36j) - (4i - 3j) = (-45i - 4i) + (-36j + 3j) = -49i - 33j

x+∠QSR+∠UST=180x+∠QSR+∠UST=180 (straight line =180) and ∠R+∠T=90∠R+∠T=90 (as PRT is a right angle)

(1) The length of line segment QR is equal to the length of line segment RS --> triangle QRS is isosceles --> ∠RQS=∠QSR=180−∠R2∠RQS=∠QSR=180−∠R2 (as ∠RQS+∠QSR+∠R=180∠RQS+∠QSR+∠R=180 --> 2∗∠QSR+∠R=1802∗∠QSR+∠R=180 --> ∠QSR=180−∠R2∠QSR=180−∠R2). Not sufficient.

(2) The length of line segment ST is equal to the length of line segment TU --> triangle UST is isosceles --> ∠SUT=∠UST=180−∠T2∠SUT=∠UST=180−∠T2. Not sufficient.

(1)+(2) x+∠QSR+∠UST=180x+∠QSR+∠UST=180 --> x+180−∠R2+180−∠T2=180x+180−∠R2+180−∠T2=180 --> x+360−(∠R+∠T)2=180x+360−(∠R+∠T)2=180 --> since ∠R+∠T=90∠R+∠T=90 --> x+360−902=180x+360−902=180 --> x=45x=45. Sufficient.

Answer:

A (6. 1) C (2. -7)

6-2 = 4    1- (-7) = 8

as AB= 1/3 BC = AB= 1/4 AC

so x=6-4/4 =5

y= 1-8/4 =-1

so B(5, 1)

Answer:

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

Use the section formula

Substitute and find the point B:

True. The r command "qt(0.95, 7)" calculates the critical value of the distribution with 7 degrees of freedom at a significance level of 0.05 and a two-tailed test. The "qt" function in R is used to find the critical value of a t-distribution for a given probability and degrees of freedom.

In this case, the command returns the critical value of the t-distribution with 7 degrees of freedom at a significance level of 0.05, which can be used to perform hypothesis testing or confidence interval calculations. It is important to note that the critical values of the t-distribution change as the degrees of freedom change, and different significance levels require different critical values. Answering in more than 100 words, it is necessary to understand the concept of degrees of freedom in statistics. Degrees of freedom represent the number of independent observations that are available for estimation in a statistical model. The number of degrees of freedom depends on the sample size, the number of parameters being estimated, and any constraints on the model. In general, more degrees of freedom lead to greater precision in estimates and narrower confidence intervals.

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Answer:

2.25

Step-by-step explanation:

5.20 * 1.06 = 5.512

11.70 - 5.512 = 6.188

6.188 / 2.75 = 2.25018

Round to the nearest hundredth which equals....

2.25

The intersection of two circles with centers A and B at points P and Q involves using some basic geometry to find the distances from the centers to the intersection points

When two circles intersect at points P and Q, it means that these two points lie on both circles.

The two circles have centers A and B respectively, which are the points equidistant from all points on the respective circles.

Let's call the radii of the two circles r1 and r2, and the distance between the centers A and B d.
Now, we can draw a line connecting the centers A and B, which we can call the line AB.

This line divides the plane into two halves, and the circles can only intersect within these halves.
The points P and Q where the circles intersect lie on this line AB.

To find the coordinates of these points, we need to use some geometry.

We can draw two triangles, one with vertices A, P, and B, and the other with vertices A, Q, and B.
Both of these triangles have a side of length d (because AB is the same length in both triangles), and two sides of length r1 and r2.

We can use the Pythagorean theorem to find the length of the third side of each triangle, which is the distance from A to P (or Q) and from B to P (or Q).
Once we know the distance from A to P (or Q) and from B to P (or Q), we can use these distances and the coordinates of the centers A and B to find the coordinates of the points P and Q.

Specifically, we can use the fact that the coordinates of P and Q are given by (x_A + x_B)/2 +/- (distance from A to P or Q)/2, (y_A + y_B)/2 +/- (distance from A to P or Q)/2.
Using these distances and the center coordinates to find the intersection point coordinates.

Question:

Suppose two circles intersect at points A and B. Choose points P, Q, R, S, T such that the lines PQAR and PSBT intersect one circle at Q and S

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Answer:

infinite

Step-by-step explanation:

\(\\ \sf\longmapsto 4(4x-2)+1=16x-7\)

\(\\ \sf\longmapsto 16x-8+1=16x-7\)

\(\\ \sf\longmapsto 16x-7=16x-7\)

\(\\ \sf\longmapsto 0=0\)

this may help you with your question

The coefficient of determination (R²) for the given data is approximately 0.920. This value indicates that approximately 92% of the variability in the dependent variable can be explained by the independent variable using the least squares regression line.

Calculate R² using the given information. R², also known as the coefficient of determination, measures the proportion of variability in the dependent variable that can be explained by the independent variable using the least squares regression line.

calculate R²:

1. You have been provided with the total sum of squares (SST) which is 2640.8, and the sum of squares of regression (SSR) which is 2429.8.

2. To calculate R², you need to divide SSR by SST:
  R² = SSR / SST

3. Now, substitute the given values:
  R² = 2429.8 / 2640.8

4. Perform the division:
  R² ≈ 0.920

5. Finally, round R² to three decimal places:
  R² ≈ 0.920

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The expression of the verbal statement is 15 + 0.15m

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

The sum of 15 and 15% of a number m

15% of a number m means 0.15m

So, we have the following representation

The sum of 15 and 0.15m

Sum  mean plus

So, we have

15 + 0.15m

We can get the equivalent expression

So, we have the following representation

(30 + 0.3m)/2

Hence, the expression is 15 + 0.15m

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The solution of the inequality 5m + 1 ≤ 4 is less than or equal to 0.80.

Inequality is defined as an equation that does not contain an equal sign. Inequality is a term that describes a statement's relative size and can be used to compare these two claims.

The inequality is given below.

5m + 1 ≤ 4

Simplify the equation, then we have

5m + 1 ≤ 4

5m ≤ 4

m ≤ 4 / 5

m ≤ 0.8

The solution of the inequality 5m + 1 ≤ 4 is less than or equal to 0.80.

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Increasing the sample size has an effect on the standard error, but other factors determine whether the increased sample size will increase or decrease the standard error.


The standard error is a measure of the variability of the sample mean. When the sample size is increased, the standard error generally decreases because a larger sample size provides more precise estimates of the population mean. However, other factors such as the variability of the population and the sampling method used can also affect the standard error.

For example, if the population variability is high, increasing the sample size may not have a significant impact on reducing the standard error. On the other hand, if the population variability is low, increasing the sample size can lead to a substantial decrease in the standard error.

In summary, increasing the sample size generally decreases the standard error, but the magnitude of this effect depends on other factors such as population variability and sampling method.

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the length of the flag is 28.8.

The ratio is defined as the comparison of two quantities of the same units that indicates how much of one quantity is present in the other quantity.

here, we have,

given that,

width to length ratio of 10:19

it is 18 inches wide

then, length = 18*19/10

                    =28.8

hence, the length of the flag is 28.8.

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Answer:

68.5 mph

Step-by-step explanation:

191.8 ÷ 2.8 = 68.5

The following is the null and alternate hypothesis:

H₀ = u = 40.1

H₁ = u < 40.1

The null hypothesis should read as follows if we want to test the assertion that the average workweek has decreased:

The claim that there is a decrease in the typical work week should be made in the alternative hypothesis. The genuine mean is smaller than 40.1 can be used to express this.

The null hypothesis should assert that the average work week has not been significantly reduced, which is the opposite of the alternative. This can be expressed mathematically as 40.1 as the genuine mean.

Therefore, The alternative and null hypothesis are then:

H₀ = u = 40.1

H₁ = u < 40.1

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