A triangle has two 90 angles a side 12 cm in lenght. Select true or false for each statement about type of triangle.

Step-by-step explanation:

A linear function is a function where we have a constant rate of change.

The equation of a linear function is

[tex]y = mx + b[/tex]

where m is the slope (change in y/change in x)

and b is the y intercept.

Note: Sometimes our variables will different names, but

Slope is just change in dependent variable/change in independent variable.

A linear function has a constant slope throughout.

In this problem,

t is the independent variable

W is the dependent variable

So our point will. be

(t,W)

where t is number of weeks after planted

and W is weight

So the slope would be

Change in W/Change in t.

We know at 3 weeks, the pumpkin weighed 141

So this point is

(3,141)

We know 7 weeks, later, the pumpkin weighed 372 so

(10,372)

A. The weight the pumpkin gain each week is our slope so

[tex] \frac{372 - 141}{7} [/tex]

[tex] \frac{231}{7} = 33[/tex]

So the pumpkin gained 33 pounds each week.

Part 2: Is in slope intercept form,

and we know the slope,33,

[tex]w = 33t + b[/tex]

We don't know what b is.

Let plug in a coordinate pair, and solve for b.

Let's use (3,141)

[tex]141 = 33(3) + b[/tex]

[tex]141 = 99 + b[/tex]

[tex]42 = b[/tex]

So our equation is

[tex]w = 33t + 42[/tex]

Hope this helps

The weight that the pumpkin gained per week can be found to be 33 pounds.

The equation to show the relationship between pumpkin weight and elapsed time is W = 33 t + 42

The weight gained by the pumpkin per week can be found by the formula :

= (Weight gained after 7 more weeks - Weight after 3 weeks ) / 7 weeks

= ( 372 - 141 ) / 4

= 33 pounds

This means the original weight of the pumpkin was:
= 141 - ( 33 x 3 weeks )
= 42 pounds

The equation to show the relationship between pumpkin growth and weeks is therefore:

W = Growth per week x Number of weeks + original weight

W = 33 x + 42

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Step-by-step explanation:

so the total with the tip is $62.82 then divide by 3 so I believe your answer is $20.94

$15.70

Step-by-step explanation:

20% tip on $52.35 is $10.47

$10.47 + $52.35 = $62.82

$62.82 ÷ 4(him and 3 friends) = $15.70

So, each person would pay $15.70 if they split the bill evenly.

There are 70 grandparents, 140 parents, and 190 children in attendance at the family reunion

Given data ,

Let's denote the number of grandparents as "g", the number of parents as "p", and the number of children as "c".

Given that there were 400 people total at the family reunion, we can write the equation:

g + p + c = 400

Now , there were twice as many parents as grandparents, so we can write:

p = 2g

And we are given that there were 50 more children than parents, so we can write:

c = p + 50

Now we can use the equations (1), (2), and (3) to solve for the values of g, p, and c.

On simplifying the equation , we get

g + 2g + (2g + 50) = 400

5g + 50 = 400

5g = 400 - 50

5g = 350

g = 350 / 5

g = 70

Now we can substitute the value of g into (2) to find the value of p:

p = 2g = 2 x 70 = 140

And we can substitute the value of p into (3) to find the value of c:

c = p + 50 = 140 + 50 = 190

Hence , there were 70 grandparents, 140 parents, and 190 children in attendance at the family reunion

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The rate of change of the function g(x) in the interval -9 ≤ x ≤ -1 is  1

The rate of change of a function y = f(x) on the interval [a, b] is given by the formula below:

R = (f(b) - f(a))/(b - a)

Here the function is g(x) = -x² − 9x + 27 and the interval is [-9, -1], we can evaluate g(x) in both ends of our interval, then we will get the two values needed for the numerator, here we will get:

g(-1) =  -(-1)² − 9*-1 + 27 = -1 + 9 + 27 = 35

g(-9) = -(-9)² -9*-9 + 27 = 27

Replacing that in the formula we can get the rate of change is:

R = (35 - 27)/(-1 + 9) = 8/8 = 1

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K's value is around 0.055 to three decimal places.

Let's first use the given information to set up two equations:

A(0) = 23 (the initial population in millions)

A(6) = 32 (the population 6 years later in millions)

Substituting these values into the exponential growth function A = 23e^(kt), we get:

[tex]23 = 23e^(k0) = > e^{(k0)} = 1\\32 = 23e^{k*6}[/tex]

Dividing the second equation by the first, we get:

[tex]32/23 = e^{6k}[/tex]

Taking the natural logarithm of both sides, we get:

ln(32/23) = 6k

Solving for k, we get:

k = ln(32/23)/6

k ≈ 0.055

Rounding to three decimal places, we get k ≈ 0.055.

Therefore, the value of k to three decimal places is approximately 0.055.

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The requried shading would occur above the solid line of the slope.

To graph the inequality 9x + 5y > 1, we first need to graph the equation 9x + 5y = 1, which is the equation of the line that separates the two regions determined by the inequality.

To graph this line, we can solve for y in terms of x:

9x + 5y = 1

y = (-9/5)x + 1/5

This is the equation of a line with slope -9/5 and y-intercept 1/5. We can plot this line on a coordinated plane. Since the slope of the line is negative, the shading should occur above the line, which means the correct answer is: The shading would occur above the solid line of the slope.

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In this table, the constant of proportionality is 15.5.

The constant of proportionality is the ratio that one value has compared to another.

In other words, the constant of proportionality is the quotient of the numerator and the denominator.

The constant of proportionality can also be referred to as the slope, gradient, or unit rate.

X            y         Constant of Proportionality

2          31            15.5 (31/5)

5          77.5        15.5 (77.5/5)

7.5      116.25      15.5 (116.25/7.5)

Thus, the constant of proportionality, which can also be computed as the slope or unit rate is 15.5.

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The volume of the hemisphere is approximately 1970.2 cubic inches.

Given that:

Radius, r = 9.8 inches

The formula for the volume of a hemisphere is given as:

V = (2/3) x π x r³

V = (2/3) x π x (9.8 in)³

V = (2/3) x 3.14 x 941.192

V = 1970.2 cubic inches

Therefore, the volume of the hemisphere is approximately 1970.2 cubic inches.

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Answer:

40

Step-by-step explanation:

6:4 = 1,5 which means he grades 1 paper per 1,5 minute. 60:1,5 = 40 papers

The equation that represents x, the side length of the greater square is this:  x² + (x-2)²= 100.

The equation that represents x, the greater side length is  x² + (x-2)²= 100. According to the instruction from the teacher, one of the squares should have a side that is two units greater than the first side.

So, if the first side was x, then the new side will be x2 and the same will be true of side, x -2 which now becomes (x-2)². Of course, multiplying a side 10 by 10 will also give 100. So, the correct equation will be C.

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Answer:

Down There

Step-by-step explanation:

Radii:

Circle A - 8

Circle B - 13

Circle C - 17

Circle D - 14

Circle A Area:

(pi)(r)^2, where r = 8

64pi or about 201.06

Circle B Area:

(pi)(r)^2, where r = 13

169pi or about 530.93

Circle C Area:

(pi)(r)^2, where r = 17

289pi or about 907.92

Circle D Area:

(pi)(r)^2, where r = 14

196pi or about 615.75

Circle D is greater than Circle A's area by 132pi or about 414.69.

1 inch is the diameter of the driven pulley.

Let's use D to represent the driven pulley's diameter. The speed decrease needed, according to the issue description, is a 4 to 1 reduction.

This implies that the ratio of the diameters is also 4 to 1, as the speeds are inversely proportional to the diameters:

D/4 = 1/4

Multiplying both sides by 4 gives:

D = 1

Therefore, the diameter of the driven pulley should be 1 inch.

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The equation is: (2x + 8) / 4 - 3 = x - 7

The solution is x = 12

Let x be the number you thought of at the beginning. Following the steps:

Multiply by 2: 2x

Add 8: 2x + 8

Divide by 4: (2x + 8) / 4

Subtract 3: (2x + 8) / 4 - 3

The final answer is seven less than the number you thought of at the beginning: (2x + 8) / 4 - 3 = x - 7

The equation is: (2x + 8) / 4 - 3 = x - 7

2. (2x + 8) / 4 - 3 = x - 7

(1/2)x + 2 - 3 = x - 7

(1/2)x - 1 = x - 7

Now add 1 to both sides:

(1/2)x = x - 6

Subtract (1/2)x from both sides:

-1/2x = -6

Now multiply both sides by -2:

x = 12

3. Properties used to solve the puzzle

Addition Property of Equality

Multiplication Property of Equality

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The graph of the linear inequality can be seen in the image at the end.

I can assume that the linear inequality you want to graph is:

y < -2x + 7

To graph this inequality, what we need to do is graph the line:

y = -2x + 7

With a dashed line, and then shade all the region below that line.

To graph the line just find two points in the line, for example:

if x = 0

y = -2*0 + 7 = 7 ----> (0, 7)

if x = 1

y = -2*1 + 7 = (1, 5)

now graph the points and connect them with a dashed line, and then shade all the region below.

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Using distributive property, the solution to the given expression is: 50v - 40w + 20

The Distributive Property is a term which is an algebra property which is used to multiply a single term and two or more terms inside a set of parentheses.

For example:

4(3 + 5)

According to the distributive property, you first have to multiply out the bracket to get:

4*3 + 4*5 = 12 + 20

= 32

Thus:

5(10v - 8w + 4) = (5 * 10v) - (5 * 8w) + (5 * 4)

= 50v - 40w + 20

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The number of non-working light bulbs that would be expected in the group of 1,000 light bulbs is: 50 bulbs

In survey sampling, the term probability of selection is one that refers to the chance (i.e. the probability from 0 to 1) that a member (element) of a population can be chosen for a given survey.

We are told that a sample of 40 bulbs were picked from a box of 1000 bulbs and it was discovered that 2 of the bulbs were not working. Thus:

Fraction of bulbs not working = 2/40 = 0.05

Thus, number of bulbs not working in a sample of 1000 bulbs is:

0.05 * 1000 = 50 bulbs

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Point T is the orthocenter of this triangle because it is the point where all the three altitudes of the triangle are intersecting each other.

Circumcenter : The point of intersection of the three perpendicular bisectors.

Incenter : The point of intersection of the three angle bisectors.

Centroid : The point of intersection of the three medians.

Orthocenter : The point where all the three altitudes of the triangle meet or intersect each other.

In conclusion, based on the information, Point T is the orthocenter of this triangle because it is the point where all the three altitudes of the triangle are intersecting each other.

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The independent variable in the research question is the location of the universities, with SDSU being the specific location of interest. The dependent variable is the time it takes to find a parking spot.

The research question is seeking to compare the time it takes to find a parking spot at SDSU to the time it takes at other San Diego universities, with the location being the independent variable that may affect the dependent variable, which is the time taken to find a parking spot.

By identifying the independent and dependent variables in the research question, researchers can design a study that will collect data on these variables, analyze the data, and

draw conclusions about whether there is a significant difference in the time it takes to find a parking spot at SDSU compared to other universities in San Diego.

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The amount to be invested now is  $173.9.

The amount to be invested now can be calculated using the formula for future value of an annuity as shown below;

FV = A x ((1 + r)ⁿ⁻¹) / r

where:

Monthly rate becomes;

r = 6% / 12 = 0.5% = 0.005

The amount is calculated as;

80,000 = A x ((1 + 0.005)¹⁶⁸ ⁻ ¹) / 0.005

80,000 =460A

A = 80,000/460

A = $173.9

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I'm not 100 percent sure so please only rate after you see if it's right.

ANSWER: $1090

STEP 1:

The volume of one brick is given by multiplying its length, width, and height:

V = (7 1/4) in x 3 in x (2 1/4) in

V = (29/4) in x 3 in x (9/4) in

V = 2187/16 cubic inches

STEP 2:

The cost of one brick is given by multiplying the volume by the cost per cubic inch:

C = (2187/16 cubic inches) x $0.05/in^3

C = $1.09/brick

STEP 3: To find the cost of 1000 bricks, we simply multiply the cost of one brick by 1000:

Cost of 1000 bricks = 1000 x $1.09/brick

Cost of 1000 bricks = $1090

Therefore, the cost of 1000 bricks is $1090, rounded to the nearest cent.

The probability of A and L is 0.25, rounded to two decimal places

To find the probability of A and L, we need to find the number of elements in the intersection of A and L and divide by the total number of elements in the set S.

A = {x ∈ S | x ≥ 21}

= {21, 23, 29, 30}

L = {x ∈ S | x < 25}

= {10, 11, 13, 19, 21, 23}

A ∩ L = {x ∈ S | x ≥ 21 and x < 25}

= {21, 23}

Therefore, the probability of A and L is:

P(A and L) = |A ∩ L|/|S|

= 2/8

= 0.25

Therefore, the required probability of A and L is 0.25, rounded to two decimal places

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Answer:

A

Step-by-step explanation:

Answer:

Step-by-step explanation:

...Negative.

Answer:

Negative

Step-by-step explanation:

Answer: -20

Step-by-step explanation: I got negative twenty because if f(x) equals negative thirteen the we add negative seven because we need to flip the sign since it is negative and when you add you get negative twenty

To check, simply solve the eqation the way it first was, for example, f(x)=-20+7 which would be correct, equaling -13

Hopefully this helped, I' sorry if i am wrong

Based on the information provided dilate triangle ABC by a scale factor of 3, with point D as the center of dilation.

To perform a dilation, each point in the original figure is transformed by multiplying its coordinates by the scale factor and then translating the figure according to the center of dilation. In this case, each point in triangle ABC will be multiplied by a scale factor of 3, with point D as the center of dilation.

To dilate the triangle by a scale factor of 3, you can follow these steps

Hence,  if the scale factor is greater than 1, the dilated figure will be larger than the original. If the scale factor is between 0 and 1, the dilated figure will be smaller than the original. If the scale factor is negative, the figure will be reflected across the center of dilation.

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The numeric values of the piecewise function in this problem are given as follows:

To calculate the numeric value of a function or of an expression, we substitute each instance of any variable or unknown on the function by the value at which we want to find the numeric value of the function or of the expression presented in the context of a problem.

A piecewise function is a function that has different definitions, based on the input x of the function.

For values of x that are of 1 or less, the function is defined as follows:

f(x) = x.

Hence the numeric values in this interval are given as follows:

For values of x that are greater than 1, the function is defined as follows:

f(x) = -x + 4.

Hence, at x = 3, the numeric value of the function is given as follows:

f(3) = -3 + 4 = 1.

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The percentage of adults who eat more than 10.4 ounces of chicken in one sitting is 2.5%. The correct option is A.

We know that the distribution is approximately normal with a mean of 8 ounces and a standard deviation of 1.2 ounces. We want to find the percentage of adults that eat more than 10.4 ounces of chicken in one sitting.

To solve this problem, we can use the standard normal distribution table or a calculator with the normal distribution function.

Using the calculator, we can standardize the value 10.4 using the formula:

[tex]z = \dfrac{(x - \mu)} { \sigma}[/tex]

where x is the value we want to standardize, μ is the mean, and σ is the standard deviation.

In this case, we have:

[tex]z = \dfrac{(10.4 - 8) }{1.2} = 2[/tex]

We can then use the calculator to find the percentage of the distribution that lies above the z-score of 2. This is approximately 2.5%.

Therefore, the answer is A. 2.5%.

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