Fill in the blanks to solve the equation.

Answer:

y = 5/8x +1

Step-by-step explanation:

Hope this helps!

Answer:

$44.44444444

Step-by-step explanation:

So as per question employees get 10% discount of the discounted price. So our equation would be considering discounted price = x

=> x- 10x/100 = 40 => 100x-10x/100 = 40 => 90x = 4000 => x= $44.4444

Answer: 1 1/3 and 1 2/3

Step-by-step explanation:

please mark brainliest

The value of "k" for which the determinant of the given matrix is zero is 2.5

The given problem asks to find the values of "k" for which the determinant of the given matrix is zero.

The given matrix can be represented as:

| 6 0 0 |
| 7 2 0 |
| 0 2 k+7 |

The determinant of the matrix is calculated as:

6 * (2(k+7)) - 0 - 0 - 7 * (2) * 0 + 0 - 0 = 12k - 30

To find the values of "k" for which the determinant is zero, we need to solve the equation:

12k - 30 = 0

Simplifying the equation, we get:

k = 2.5

Therefore, the value of "k" for which the determinant is zero is 2.5.

In general, the determinant of a matrix is a scalar value that represents some important properties of the matrix, such as invertibility and eigenvalues. If the determinant of a matrix is zero, it means that the matrix is singular and does not have an inverse. In the given problem, we have calculated the determinant of the matrix and found the values of "k" for which the determinant is zero. This helps us understand the properties of the matrix and the possible solutions to any equations involving the matrix.

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If a triangle has two equal medians, then it must be isosceles.

A triangle is described as a polygon with three edges and three vertices and  one of the basic shapes in geometry.

Let us have a triangle ABC with medians AD and BE, where AD = BE.

We must  show that AB = AC to prove that the triangle is isosceles.

AD is a median which bisects BC at point M.

In the same vein BE is a median, it will also bisects AC at point N.

Considering the  triangles ABE and ADC.

AD = BE and AE = CD since they are medians.

Also, angle AEB is equal to angle ADC because they are vertical angles.

The triangle ABE is congruent to triangle ADC following  the Side-Angle-Side (SAS) congruence criterion.

Therefore,  the triangles are congruent, their corresponding sides are equal in length.

We then have that AB = DC. But since AD is a median, it bisects BC at point M, so BM = MC.

In conclusion,  we have AB + BM = AC + MC, which implies that AB = AC, as desired.

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Answer:

$19.2

Step-by-step explanation:

The school mascot is rectangular in nature.

Perimeter P = 2(L+W)

L is the length = 4feet

W is the width = 12 feet

Perimeter = 2(4+12)

Perimeter = 2(16)

Perimeter  = 32 feet

Convert to inches

12in = 1feet

x = 32 feet

Cross multiply

x = 12 * 32

x = 384in

Hence the perimeter of the school mascot is 384in

If it is to be completely framed using a single row of square tiles each 2inches on an edge

2 inches = 1 tiles

384inches = y tiles

Cross multiply

2y = 384

y = 384/2

y = 192 tiles

The number of tiles needed is 192 tiles

Get the cost of 192tiles

If the tiles are $0.10 each. 192 tiles will cost 192 * 0.1 = $19.2

Hence the cost of the tiles needed is $19.2

The value of the absolute percent error for week 3 is 25.00%.

To calculate the absolute percent error for week 3, we need to find the absolute difference between the forecasted value and the actual value, and then divide it by the actual value. Finally, we multiply the result by 100 to convert it to a percentage.

To find the absolute percent error for week 3, we'll use the formula:

Absolute Percent Error = |(Actual Value - Forecasted Value) / Actual Value| * 100

For week 3:

Actual Value = 4.00

Forecasted Value = 3.00

Absolute Percent Error = |(4.00 - 3.00) / 4.00| * 100

= |1.00 / 4.00| * 100

= 0.25 * 100

= 25.00

Therefore,For week three, the absolute percent error value is 25.00%.

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Answer:

Q: 10x+16

R: 28x^2+10x+22

Step-by-step explanation:

poggers got it right on edg

also other man is funny

Answer: He's Right!

Step-by-step explanation: I got it correct on edge

Weathering of rocks is a slow process. This can be of three types. physical , chemical and biological weathering. All are slow process.

The term Weathering is a process that acts with erosion to help shape Earth's surface. weathering is the process that creates the particles. Weathering is when nature breaks rocks and soil down into smaller particles or changes the actual composition of the landscape. Weathering can be physical, chemical or biological. physical weathering is when water seeps into the cracks of rocks, freezes into ice and then expands forcing the rock to break. chemical weathering is when acid rain dissolves underground rock causing it to collapse and make a hole in Earth's surface. biological weathering would be an animal digging a burrow causing an increase in pressure and nearby rock to break.

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The probability of hitting the bull's-eye all three times when throwing darts can be calculated using the multiplication rule of probability as P(3 hits) = p x p x p = \(p^3\),

where p is the probability of hitting the bull's-eye on each throw.

When throwing darts at a dart board, the probability of striking the bull's-eye is affected by many factors, such as the player's skill, the distance from the board, the type of dart used, and so on.

However, assuming that the probability of hitting the bull's-eye is the same for each throw and independent of previous throws;

We can calculate the probability of hitting the bull's-eye all three times using the multiplication rule of probability.

Suppose the probability of hitting the bull's-eye on each throw is p. Then, the probability of missing the bull's-eye on each throw is 1 - p.

The probability of hitting the bull's-eye all three times can be calculated as follows:

P(3 hits) = p x p x p = \(p^3\)

For example, if p = 0.05 (or 5%), then the probability of hitting the bull's-eye all three times would be:

P(3 hits) = 0.05 x 0.05 x 0.05 = 0.000125 or 0.0125%

This means that the chance of hitting the bull's-eye all three times is very low, and it would require a lot of skill and luck to achieve such a feat.

However, the probability of hitting the bull's-eye at least once in three throws would be much higher, and it would depend on the player's skill and consistency.

Overall, the probability of hitting the bull's-eye all three times is quite low, and it is more likely that a player will hit it once or twice or miss it altogether.

Nonetheless, the thrill of the game lies in the challenge and the unpredictability of each throw, making darts a popular game of skill and chance.

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Answer:

B is true

Step-by-step explanation:

hope this helps

To determine if a function has a vertical asymptote, you need to consider its behavior as the input approaches certain values.

A vertical asymptote occurs when the function approaches positive or negative infinity as the input approaches a specific value. Here's how you can determine if a function has a vertical asymptote:

Check for restrictions in the domain: Look for values of the input variable where the function is undefined or has a division by zero. These can indicate potential vertical asymptotes.

Evaluate the limit as the input approaches the suspected values: Calculate the limit of the function as the input approaches the suspected values from both sides (approaching from the left and right). If the limit approaches positive or negative infinity, a vertical asymptote exists at that value.

For example, if a rational function has a denominator that becomes zero at a certain value, such as x = 2, evaluate the limits of the function as x approaches 2 from the left and right. If the limits are positive or negative infinity, then there is a vertical asymptote at x = 2.

In summary, to determine if a function has a vertical asymptote, check for restrictions in the domain and evaluate the limits as the input approaches suspected values. If the limits approach positive or negative infinity, there is a vertical asymptote at that value.

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Answer:

9)  17 miles/hr

10)  7.14 miles

Step-by-step explanation:

See the attached worksheet.  Note the use of conversion factors.  In question 9 we want to convert minutes to hours.  We know there are 60 minutes/hr.  So we can set up a conversion factor in one of 2 ways:  (60 minutes/1 hr) or (1 hr/60 minutes).  Both are valid, and both are = 1, since the numerator and denominator are both equivalent.  This means we can invert a conversion factor and it is still = 1.  Since conversion facots are equal to 1, we can multiply them times anything, and the result is numerically the same (anything times 1 = anything) and only the units have changed.  For question 9, we want to convert miles/min to miles/hr.  I'll choose the conversion factor (60 min/1 hr), mostly because I like multiplication over division.  Note how the units cancel in the attachment, resulting in 17 miles/hr.  One may also use the factor (1hr/60min), but then a division is required.  Perfectly fine, but not my preferred route.

The same approach is used to answer question 10.  Again, note how he units cancel, leaving a number wth just the units desired,

Answer:

Page 1

b = 200÷5

200÷ 40 = 5

5b = 200

Page 2

p = 3 x 60

p ÷ 5 = 60

Step-by-step explanation:

Page 1:

b = 200/5

b = 40

Since b equal 40, plug in 40 for b and see if the other equations equal

b = 200÷5

40 = 200÷5

40 = 40 checks

200÷b = 5

200÷40 = 5

5 = 5 checks

b = 5 x 200

40 = 5 x 200

40 = 1000 does not check

b÷5 = 200

40÷5 = 200

8 = 200 This does not check

5b = 200

5(40) = 200

200 = 200 checks.

60 x 5 = 300  The total number of pages is 300.  p = 300

p = 60 ÷ 5

300 = 60÷5

300 = 12  Does not check

5 + 60 = p

5 + 60 = 300

65 = 300 does not check

p = 5 x 60

300 = 5 x 60

300 = 300 checks

p÷5 = 60

300 ÷ 5 = 60

60 = 60 checks.

5p = 60

5(300) = 60

1500 = 60 does not check

Helping in the name of Jesus.

Answer:

y=x-2

Step-by-step explanation:

y=mx+b

b= y-intercept = -2

m = slope = 1

Answer:

y = x - 2

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = 1 and c = - 2 , then

y = x - 2 ← equation of line

Here's a more detailed explanation: To determine if a graph is a function, you can use the vertical line test. The vertical line test states that if you can draw a vertical line that intersects the graph in more than one place, then the graph is not a function.

Determining whether a graph represents a function is an important concept in mathematics, especially in algebra and calculus. A function is a set of ordered pairs where each input is associated with exactly one output.

So, if you take a ruler or a straight edge and place it vertically on the graph, and it intersects the graph in two or more points, then the graph is not a function. This is because if two points in the graph have the same x-value, they must have different y-values, since functions can only have one output for each input.

On the other hand, if you place a vertical line anywhere on the graph and it intersects the graph in only one point, then the graph is a function.

It's also important to remember that a function must also pass the horizontal line test, which means that no horizontal line can intersect the graph in more than one place.

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We only need the function f(x), the constants C will cancel each other out:
\(f(x) = (1/3)x^3 - (1/3)(x-7)^3\)
This is the function f(x) after applying the Second Fundamental Theorem of Calculus.

To find the function f(x) using the Second Fundamental Theorem of Calculus, we need to evaluate the definite integral from x-7 to x of the given function. \

The integral is:
\(f(x) =  \int (x-7)^x \sqrt{(t^4)}  dt\)
First, let's simplify the integrand:
\(\sqrt{(t^4) }  = t^2\)
Now the integral becomes:
\(f(x) = \int (x-7)^x t^2 dt\)
According to the Second Fundamental Theorem of Calculus, if F(t) is the antiderivative of the integrand t^2, then:
f(x) = F(x) - F(x-7)
To find the antiderivative F(t), we integrate \(t^2\)  with respect to t:
\(F(t) = \int t^2 dt = (1/3)t^3 + C\)
Now, apply the theorem:
\(f(x) = F(x) - F(x-7) = (1/3)x^3 + C - [(1/3)(x-7)^3 + C]\)
Since we only need the function f(x), the constants C will cancel each other out:
\(f(x) = (1/3)x^3 - (1/3)(x-7)^3\)
This is the function f(x) after applying the Second Fundamental Theorem of Calculus.

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To use the second fundamental theorem of calculus to find f(x) = integral x-7^x sqrt(t^4 7 dt, we first need to find the antiderivative of the integrand. Using the power rule of integration, we can simplify the integrand to t^2*sqrt(7)*sqrt(t^2)^2, which becomes (1/3)t^3*sqrt(7).

Now, we can apply the second fundamental theorem of calculus, which states that if F(x) is the antiderivative of f(x), then integral from a to b of f(x) dx = F(b) - F(a).

Thus, f(x) = (1/3)t^3*sqrt(7), F(x) = (1/3)x^3*sqrt(7), and the integral from x-7 to x of f(x) dx becomes F(x) - F(x-7) = (1/3)x^3*sqrt(7) - (1/3)(x-7)^3*sqrt(7).

Therefore, the value of f(x) = integral x-7^x sqrt(t^4 7 dt is (1/3)x^3*sqrt(7) - (1/3)(x-7)^3*sqrt(7).

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It is given that the bacteria in a colony doubles every 8 hours.

To find the population of bacteria 24 hours from now, we need to find the population of bacteria after every 8 hours.

The present population of the bacteria is 9315.

After 8 hours, the bacteria becomes double. So, the number of bacteria becomes 9315 x 2 = 18630.

Again after 8 hours, the bacteria becomes 18630 x 2 = 37260.

Again after 8 hours, the bacteria becomes 37260 x 2 = 74520.

Thus, after 24 hours from now, the population of the bacteria is 74520.

The new variance is 0.0625 / n

We can use the following formula to calculate the variance of a data set

variance = (sum of (x - mean)^2) / (number of data points)

where x is a data point and mean is the mean of the data set.

If the mean cost of a box of Cheerios Oat Crunch is $4.00 and the variance is 0.35, we can find the standard deviation as follows

standard deviation = square root of variance = sqrt(0.35) = 0.59

Now, if the price increases by 25 cents a box, the new mean cost will be

new mean = $4.00 + $0.25 = $4.25

To find the new variance, we need to calculate the sum of (x - mean)^2 for the new data set and divide by the number of data points. Let's assume we are still considering the same number of boxes.

sum of (x - mean)^2 = [(4.25 - 4)^2 × n] = 0.0625 × n

where n is the number of data points.

Therefore, the new variance can be calculated as

new variance = (sum of (x - mean)^2) / (number of data points) = 0.0625 / n

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A parabola is the set of all points in a plane that are equidistant from both a point called the focus and a line called the: directrix

A parabola is a plane curve formed by a point moving so that its distance from a fixed point is equal to its distance from a fixed line.

A parabola is approximately U-shaped.

It is the graph of a quadratic function.

A fix point is called as the focus and a fixed straight line is the directrix of the parabola.

The fixed point does not lie on the fixed line. (i.e., the focus does not lie on the directrix of the parabola).

Therefore, A parabola is the set of all points in a plane that are equidistant from both a point called the focus and a line called the: directrix

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SOLUTION

To get h

And also

So

The first option is therefore the correct answer

Since it is a right triangle, we can use the Pythagorean Theorem. This one states that the sum of the squares on the legs of a right triangle is equal to the square on the hypotenuse. In algebraic notation:

So, in this case, we have:

Therefore, the measure of the other leg rounded to the nearest hundredth is 11.49 centimeters.

\(\huge \bf༆ Answer ༄\)

Let's solve ~

\({ \qquad{ \sf{ \dashrightarrow}}}  \:  \: \sf \: {x}^{2} + x - 20\)

\({ \qquad{ \sf{ \dashrightarrow}}}  \:  \: \sf \: {x}^{2} + 5x - 4x - 20\)

\({ \qquad{ \sf{ \dashrightarrow}}}  \:  \: \sf \:x(x + 5) - 4(x + 5)\)

\({ \qquad{ \sf{ \dashrightarrow}}}  \:  \: \sf \:(x + 5)(x - 4)\)

It's factorized now ~ And if you want to find the zeros then equate the expression with 0.

And you will get ;

\({ \qquad{ \sf{ \dashrightarrow}}}  \:  \: \sf \:x = - 5 \: \: and \: \: 4\)

Answer:

-2

Step-by-step explanation:

Given equation

x - 2y = 4

2y = x - 4

y = ( x - 4 ) / 2

y = x/2 - 4 /2

y = x/2 - 2

Comparing with y = mx + b

y-intercept (b) = - 2

Hope it will help :)❤

The z-values for the given situations are approximate:

a. The area to the left of z is 0.1827. z = -0.90

b. The area between −z and z is 0.9830. z = 2.17

c. The area between −z and z is 0.2148. z = 0.85

d. The area to the left of z is 0.9997. z = 3.49

e. The area to the right of z is 0.6847. z= -0.48

a. For an area of 0.1827 to the left of z, the corresponding z-value can be found using a standard normal distribution table or a statistical calculator. The z-value is approximately -0.90.

b. To find the z-value for an area between -z and z equal to 0.9830, we need to find the value that corresponds to (1 - 0.9830)/2 = 0.0085 in the upper tail of the standard normal distribution. Using the table or calculator, the z-value is approximately 2.17.

c. Similarly, for an area between -z and z equal to 0.2148, we find the value that corresponds to (1 - 0.2148)/2 = 0.3926 in the upper tail. The z-value is approximately 0.85.

d. For an area of 0.9997 to the left of z, we find the value that corresponds to 0.9997 in the upper tail. The z-value is approximately 3.49.

e. To find the z-value for an area to the right of z equal to 0.6847, we find the value that corresponds to 1 - 0.6847 = 0.3153 in the upper tail. The z-value is approximately -0.48.

In summary, the z-values for the given situations are approximate:

a. -0.90

b. 2.17

c. 0.85

d. 3.49

e. -0.48

These values can be used to determine the corresponding percentiles or probabilities for the standard normal distribution. The values are typically found using standard normal distribution tables or statistical calculators that provide the cumulative probability distribution function (CDF) for the standard normal distribution.

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The second statement is the inverse statement of the first conditional statement.

If x and y are two propositions, then:

x ⇒ y

Is a conditional statement:

"If x, then y".

The other statement is:

¬x ⇒ ¬y

Where:

¬x means "not x"

So the statement is:

"If not x, then not y".

That would be the inverse statement of the given conditional statement.

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