HELP ME PLEASE PLEASE PLEASE VERY URGENT
Zero is a solution for which inequality?

a 4.1m > -16.4

b 4.1m > 16.4

c -4.1m > 16.4

d 4.1m < -16.4

Answer:

c

Step-by-step explanation:

7x²-36x+5= 7x²-x-35x+5

=x(7x-1)-5(7x-1)

=(7x-1)(x-5)

Answer:

9.1031 < 9.208 < 9.23 < 9.3

Step-by-step explanation:

Look at the tenths part of the decimals which is the main part, don't get confused just because there is more numbers after a small decimal number

Also brainly pls ty

The radius of the circle is determined as r = 5.

option B.

The radius of the circle is determined by applying the general formula for circle equation.

(x - h)² + (y - k)² = r²

where;

The given circle equation;

4x² + 4y² = 100

Simplify the equation by dividing through by 4;

x² + y² = 25

x² + y² = 5²

So from the equation above, the radius of the circle corresponds to 5.

r = 5

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Answer:

slope is 1/6

Step-by-step explanation:

Answer:

30

Step-by-step explanation:

Well its pretty simple just take 19-49 unless its for something else all i knew was that its 19-49= 30

Step-by-step explanation:

Let the price of each pounds of bananas be x andthe price of each pounds of grapes be y.

ATQ,

3x+4y = 10.25 ...(1)

2x+2y = 5.5 ..(2)

Multiply equation (2) by 2.

4x+4y = 11 ...(3)

Now, subtract equation (1) from (3).

4x+4y-(3x+4y) = 11-10.25

4x+4y-3x-4y = 0.75

x = 0.75

Put the value of x in equation (2)

2(0.75)+2y = 5.5

1.5+2y = 5.5

2y = 5.5 - 1.5

2y = 4

y = 2

So, there are 0.75 pounds of bananas and 2 pounds of grapes.

Answer:

Step-by-step explanation:

Equation of a line is y = mx + c

where

m is the slope

c is the y intercept

To calculate the equation of the line first find the slope

Slope of the line using points

(0 , 0) and (4 , -2) is

\(m = \frac{ - 2 - 0}{4 - 0} = \frac{ - 2}{4} = - \frac{1}{2} \)

Now use the formula

y - y1 = m(x - x1) to find the equation of the line using any of the points

Using point (0,0)

That's

\(y - 0 = - \frac{ 1}{2} (x - 0)\)

The final answer is

\(y = - \frac{1}{2} x\)

Hope this helps you

Answer:

F

Step-by-step explanation:

Answer:

q = 16°

Step-by-step explanation:

Hello!

Since this is a straight angle, the sum of both angles = 180°

Solve for q:

\(4q - 1 + 117 = 180\\\\4q + 116 = 180\\\\4q = 64\\\\q=16\)

The measure of q = 16°

y≤−5x−10 and y>x+2 The shaded region satisfies both inequalities and represents the solution to the system of linear inequalities.

To graphically solve this system of linear inequalities, we can start by graphing each inequality on the same coordinate system:

First, let's graph the inequality y ≤ -5x - 10. We can start by graphing the line y = -5x - 10, which is the boundary line of the inequality. We can plot two points on this line, say (-2,0) and (0,-10), and draw a straight line passing through them.

Next, we need to determine which side of the line satisfies the inequality y ≤ -5x - 10. We can choose any point on one side of the line, say (0,0), and test it in the inequality. If y ≤ -5x - 10 is true for (0,0), then that side of the line satisfies the inequality. Otherwise, the other side satisfies the inequality. Testing (0,0), we have:

0 ≤ -5(0) - 10

0 ≤ -10

This is false, so the side of the line containing the origin does not satisfy the inequality. The other side of the line does.

Now, let's graph the inequality y > x + 2. We can start by graphing the line y = x + 2, which is the boundary line of the inequality. We can plot two points on this line, say (-2,0) and (0,2), and draw a straight line passing through them.

Next, we need to determine which side of the line satisfies the inequality y > x + 2. We can choose any point on one side of the line, say (0,0), and test it in the inequality. If y > x + 2 is true for (0,0), then that side of the line satisfies the inequality. Otherwise, the other side satisfies the inequality. Testing (0,0), we have:

0 > 0 + 2

This is false, so the side of the line containing the origin does not satisfy the inequality. The other side of the line does.

Now, we can shade the region that satisfies both inequalities. The shaded region is the region that is below the line y = -5x - 10 (including the line itself) and above the line y = x + 2 (excluding the line itself).

The shaded region is shown below:

Graph of y≤−5x−10 and y>x+2

The shaded region satisfies both inequalities and represents the solution to the system of linear inequalities.

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Answer:

1. (a)  [-1, ∞)

   (b)  (-∞, -1) ∪ (1, ∞)

2. (a)  (1, 3)

    (b)  (-∞, 1) ∪ (3, ∞)

3. (a)  9.6 m and 0.4 m

   (b)  03:08 and 15:42

Step-by-step explanation:

The domain of a function is the set of all possible input values (x-values).

The range of a function is the set of all possible output values (y-values).

Part (a)

When x < 0, the function is f(x) = x².

Since the square of any non-zero real number is always positive, the range of the function f(x) for x < 0 is (0, ∞).

When x ≥ 0, the function is f(x) = sin(x).

The minimum value of the sine function is -1 and the maximum value of the sine function is 1.  As the sine function is periodic, the function oscillates between these values.  Therefore, the range of function f(x) for x ≥ 0 is [-1, 1].

The range of function f(x) is the union of the ranges of the two separate parts of the function.  Therefore, the range of f(x) is [-1, ∞).

Part (b)

The domain of the function g(x) = ln(x² - 1) is the set of all real numbers x for which (x² - 1) is positive, since the natural logarithm function (ln) is only defined for positive input values.

Find the values of x:

\(\implies x^2-1 > 0\)

\(\implies x^2 > 1\)

\(\implies x < -1, \;\;x > 1\)

Therefore, the domain of function g(x) is (-∞, -1) ∪ (1, ∞).

Part (a)

To determine the interval where f(x) < 0, we need to find the values of x for which the quadratic is less than zero.

First, set the function equal to zero and solve for x:

\(\begin{aligned} x^2-4x+3&=0\\x^2-3x-x+3&=0\\x(x-3)-1(x-3)&=0\\(x-1)(x-3)&=0\\ \implies x&=1,\;3\end{aligned}\)

Therefore, the function is equal to zero at x = 1 and x = 3 and so the parabola crosses the x-axis at x = 1 and x = 3.

As the leading coefficient of the quadratic is positive, the parabola opens upwards. Therefore, the values of x that make the function negative are between the zeros.  So the interval where f(x) < 0 is 1 < x < 3 = (1, 3).

Part (b)
Since the square root of a negative number cannot be taken, and dividing a number by zero is undefined, function f(x) has to be positive and not equal to zero:  f(x) > 0.

As the parabola opens upwards, the values of x that make the function positive are less than the zero at x = 1 and more than the zero at x = 3.

Therefore the domain of g(x) is (-∞, 1) ∪ (3, ∞).

Part (a)

The range of a sine function is [-1, 1]. Therefore, to calculate the maximal and minimal possible water depths of the bay, substitute the maximum and minimum values of sin(t/2) into the equation:

\(\textsf{Maximum}: \quad 5+4.6(1)=9.6\; \sf m\)

\(\textsf{Maximum}: \quad 5+4.6(-1)=0.4\; \sf m\)

Part (b)

To find the times when the depth is maximal, set sin(t/2) to 1 and solve for t:

\(\implies \sin \left(\dfrac{t}{2}\right)=1\)

\(\implies \dfrac{t}{2}=\dfrac{\pi}{2}+2\pi n\)

\(\implies t=\pi+4\pi n\)

Therefore, the values of t in the interval 0 ≤ t ≤ 24 are:

Convert these values to times:

Based on the Inscribed Angle Theorem, the measure of angle 1 is calculated as: m<1 = 130°.

The Inscribed Angle Theorem states that an angle inscribed in a circle is half the measure of the central angle that intercepts the same arc and also half of the intercepted arc measure itself.

In other words, if we draw a circle and a chord inside the circle, and then draw an angle with its vertex on the circle and its rays intersecting the chord and the circle, then the measure of this angle is half the measure of the central angle that has the same endpoints on the circle as the inscribed angle and intercepts the same arc.

Applying this theorem, we have:

measure of angle 1 = 1/2 * (260°)

measure of angle 1 = 260/2

Measure of <1 = 130°

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Answer:

Step-by-step explanation:

First, we need to convert the dimensions of the room from feet to yards, since the price is given per square yard.

24 feet = 8 yards (since 1 yard = 3 feet)

So the dimensions of the room are 8 yards x 1 yard.

The area of the room is 8 x 1 = 8 square yards.

The cost of the carpeting per square yard is $9.97.

So, the estimated cost of the carpeting would be:

8 x $9.97 = $79.76

Rounding this to the nearest cent gives an estimated cost of $79.76.

Answer:

I believe it is 13 - 3x

Step-by-step explanation:

Since we dont know how long it takes Scott to paint the house, we use x in its place. We are subtracting to find out how many hours it takes James. Once you get that answer divide by 3.

The equation that should be used to solve for the amount of hours should be considered to be 13-3x.

Since

It takes Scott 3 times longer to paint a house than it takes James. And,  they work together, they can paint the house in 13 hours.

So here we assume x to paint the house

So here the equation be like 13-3x.

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Thoughts:  The best that I was able to do was simplify it in this form.

Answer:    V    

Answer:

Hello your question has some missing information attached below is the missing information

answer :

i) ( 0.158 , - 1.018 )

ii)  the difference in expected earnings can be computed as

( \(X_{6,A} - X_{5,C} ) = \beta _{0} + \beta _{6} - ( \beta _{0} - \beta _{5} ) = \beta _{6} - \beta _{5}\)

Step-by-step explanation:

i) Construct a 95% confidence interval ( between Juanita and Molly )

Expected difference in earnings = ( X\(_{6}\)\(_{,A}\) - X\(_{6.B}\)) = \(\beta _{0}\)= ( \(\beta + \beta _{6}\) )

∴ 95% confidence interval

-0.43 ± 1.96 * 0.30 = [ -0.43 ± 0.588 ] =  ( 0.158 , - 1.018 )  ( hence confidence interval at 95% = 1.96 )

ii) Construct a 95% confidence interval ( between Juanita and Jennifer )

Juanita is a student from the south and Jennifer is a student from Midwest

therefore the difference in expected earnings can be computed as

( \(X_{6,A} - X_{5,C} ) = \beta _{0} + \beta _{6} - ( \beta _{0} - \beta _{5} ) = \beta _{6} - \beta _{5}\)

therefore a 95% confidence interval can be calculated with the above regression model.

Answer:

The answer is pi and the estimate is 3.14

Step-by-step explanation:

Just took the test for plato and Edmentum users only

The estimated value of the expression is π which is approximately equal to the number 3.14.

Simplification is to make something easier to do or understand and to make something less complicated.

The expression is given below.

\(\Rightarrow \dfrac{5\sqrt2 \pi - 4\sqrt2 \pi}{\sqrt2}\)

Taking √2and π common, then we have

\(\rightarrow \dfrac{(5 - 4)\sqrt2 \pi}{\sqrt2}\\\\\\\rightarrow \dfrac{\sqrt2 \pi}{\sqrt2}\\\\\\\rightarrow \pi \approx 3.14\)

The value of the expression is 3.14.

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The probability of observing such an extreme result by chance alone is 0.0124.

To find the P-value for a two-tailed test of hypothesis, we need to first determine the significance level (alpha) of the test. Let's assume a significance level of 0.05, which is a common choice.

Since this is a two-tailed test, we need to find the probability of observing a test statistic as extreme or more extreme than 2.5 in either direction. We can find this probability using a standard normal distribution table or a calculator.

Using a standard normal distribution table, we can find that the probability of observing a z-score of 2.5 or greater is 0.0062. The probability of observing a z-score of -2.5 or smaller is also 0.0062. Therefore, the P-value for the two-tailed test of hypothesis is:

P-value = 2 * 0.0062

P-value = 0.0124

This means that if the true proportion of business students who have personal computers at home differs from 30%, with a significance level of 0.05, and we obtain a test statistic of 2.5, then the probability of observing such an extreme result by chance alone is 0.0124.

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The Above statement is incorrect, because if the positive number is equal to the numerical value of negative number then their sum will be zero, and If the numerical value of positive number is greater than that of negative number then the sum will be a positive number, so the probability is of both three, the sum can be positive, negative as well as zero.

Answer:

The above statement is false.

Explanation:

If the positive number is greater than the negative, then it will stay positive.

The unit rate of the relationship will be 10/3. The correct option is C.

The given equation is,

y = 10/3x + 8

The general form of an equation of the line is,

y = mx +  c

here, the slope will be 10/3

Slope refers to the steepness or incline of a line on a graph. It is a measure of how much the dependent variable changes for a given change in the independent variable.

The slope of a line is represented by the ratio of the change in the y-axis (vertical) to the change in the x-axis (horizontal) between any two points on the line. It can also be interpreted as the rate of change of the dependent variable with respect to the independent variable.

A positive slope indicates an upward trend, while a negative slope indicates a downward trend. The slope of a line is often denoted by the letter m.

The unit relationship will be 10/3.

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Answer:

\(\frac{4\pi }{5}\)

Step-by-step explanation:

the 2 angles lie on the x- axis and sum to π , then the curved arrow angle is

π - \(\frac{\pi }{5}\) = \(\frac{5\pi }{5}\) - \(\frac{\pi }{5}\) = \(\frac{4\pi }{5}\)

Answer:

-3/2

Step-by-step explanation:

6=|x|+3-x

move the terms

-|x|+x=3-6

-|x|+x=-3

-x+x=-3 , x > 0 (put a line under >)

-(-x)+x=-3 , x < 0

-3/2 , x < 0 find the intersection

x= -3/2

if you dont want it as a fraction you can do -1.5 in decimal form

Answer:

0

Step-by-step explanation:

Answer:

Step-by-step explanation:

Using the formula for calculating the compound interest

A = P(1+r)^t

P is the principal = $3500

r is the rate = 4% = 0.04

T is the time = 8 years

Substitute

A = 3500(1+0.04)^8

A = 3500(1.04)^8

A = 3500(1.3686)

A = 4,789.99

Hence the resulting balance is $4,789.99

The slope intercept form of the given equation is,

y = 5x - 1/4

Given an equation of a line as,

5x - y = 1/4

We have to write the equation of the line in slope intercept form.

Equation of the line in slope intercept form is,

y = mx + c

Here m is the slope and c is the y intercept.

Rearranging the given equation,

5x = y + 1/4

5x - 1/4 = y

or,

y = 5x - 1/4

Hence the slope intercept form is y = 5x - 1/4.

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Answer:

The half-life of the radioactive substance is 135.9 hours.

plz make me a  Brainliest

have a good day

hope i helped u today let me know what u need help too :)

The size of the exterior angle in the given 7-sided shape, as shown in the image attached below is: x = 46°.

To calculate the size of the exterior angle in a polygon when the interior angle is known, we can use the following relationship:

Interior angle + Exterior angle = 180°

Given that the interior angle measures 134°, as shown in the image below, we can substitute it into the equation:

134° + Exterior angle = 180°

To isolate the exterior angle, we subtract 134° from both sides of the equation:

Exterior angle = 180° - 134°

Simplifying further:

Exterior angle = 46°

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Answer:

Solution in photo

Step-by-step explanation: