Can someone help me with these?

Answer:

OK so he gets 3000 a year

so 3000t is what we need. thats 3000 times the number of years.

His starting salary is 41250, so we would add that on.  

K = 3000t + 41250.

Step-by-step explanation:

Answer:

The three angles of a triangle always add up to 180°.

That's basically all there is to it. I know this was pretty short but I hope it helps. :)

Answer:

The Triangle Angle Sum Theorem is that all angles in a triangle must add up to 180°.

Step-by-step explanation:

(hope this helps :P)

Answer:

51/100

Step-by-step explanation:

If the area of the square is 36 square units. Then the area of the circle will be 28.26 square units.

It deals with the size of geometry, region, and density of the different forms both 2D and 3D.

The area of the square will be given as 36 square units.

Then the side length of the square will be

36 = a²

 a = 6 units

Then the diameter of the circle and side length of the square are equal. Then we have

a = d = 6 units

Then the radius of the circle will be

2r = d

2r = 6

 r = 3 units

Then the area of the circle will be

Area of circle = πr²

Area of circle = 3.14 x 3²

Area of circle = 28.26 square units.

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Based on the intersecting secants theorem:

a. CG*CE = CH*CD

b. length of DH = 10 in.

When an exterior point is formed by two secant segments to a circle, the product of the length of one secant segment and its external segment will always be equal to the product of the length of the other secant segment and its external segment, according to the intersecting secants theorem.

a. Based on the intersecting secants theorem, the relationship that describes the lengths of the segments formed by the two secants is:

CG*CE = CH*CD

b. Given the following lengths:

CG = 3 in, CH = 2 in, and GE = 5 in

CE = CG + GE = 3 + 5 = 8 in.

CD = CH + DH = 2 + DH

Substitute into CG*CE = CH*CD:

3*8 = 2*(2 + DH)

24 = 4 + 2DH

24 - 4 = 2DH

20 = 2DH

20/2 = DH

DH = 10 in.

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Answer:

the answer is: B i hope that will help

Step-by-step explanation:

Answer:

its definitely B. Good luck

The x-intercepts of the graph of f(x) are x = 3/2 and x = 1,the Vertex of the graph of f(x) is (5/4, 3/8), and it is a minimum point, The vertex is at (5/4, 3/8). This is the minimum point of the graph.

Part A: To find the x-intercepts of the graph of f(x), we set f(x) equal to zero and solve for x.

2x^2 - 5x + 3 = 0

To factor this quadratic equation, we look for two numbers that multiply to give 3 (the coefficient of the constant term) and add up to -5 (the coefficient of the linear term). These numbers are -3 and -1.

2x^2 - 3x - 2x + 3 = 0

x(2x - 3) - 1(2x - 3) = 0

(2x - 3)(x - 1) = 0

Setting each factor equal to zero, we get:

2x - 3 = 0   -->   x = 3/2

x - 1 = 0   -->   x = 1

Therefore, the x-intercepts of the graph of f(x) are x = 3/2 and x = 1.

Part B: To determine whether the vertex of the graph of f(x) is a maximum or a minimum, we look at the coefficient of the x^2 term, which is positive (2 in this case). A positive coefficient indicates that the parabola opens upwards, so the vertex will be a minimum.

To find the coordinates of the vertex, we can use the formula x = -b/2a. In the equation f(x) = 2x^2 - 5x + 3, the coefficient of the x term is -5, and the coefficient of the x^2 term is 2.

x = -(-5) / (2*2) = 5/4

Substituting this value of x back into the equation, we can find the y-coordinate:

f(5/4) = 2(5/4)^2 - 5(5/4) + 3 = 25/8 - 25/4 + 3 = 3/8

Therefore, the vertex of the graph of f(x) is (5/4, 3/8), and it is a minimum point.

Part C: To graph f(x), we can use the information obtained in Part A and Part B.

- The x-intercepts are x = 3/2 and x = 1. These are the points where the graph intersects the x-axis.

- The vertex is at (5/4, 3/8). This is the minimum point of the graph.

We can plot these points on a coordinate plane and draw a smooth curve passing through the x-intercepts and the vertex. Since the coefficient of the x^2 term is positive, the parabola opens upwards, and the graph will be concave up.

Additionally, we can consider the symmetry of the graph. Since the coefficient of the linear term is -5, the line of symmetry is given by x = -(-5) / (2*2) = 5/4, which is the x-coordinate of the vertex. The graph will be symmetric with respect to this line.

By connecting the plotted points and sketching the curve smoothly, we can accurately graph the function f(x).

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Answer:

0.306

Step-by-step explanation:

Using binomial probability,

\(\binom{9}{2}(3/13)^2 (10/13)^7 \approx 0.306\)

The statement which best describes Gary’s error is; Gary did not use the greatest common factor in the equation.

This is the largest positive integer or polynomial that is a divisor of several different numbers. For instance, the greatest common divisor of 66, 30 and 18 is 6.

Gary's work:

66 + 36

Factors of 66: 1, 2, 3, 6, 11, 22, 33, 66

Factors of 36: 1, 2, 3, 4, 6, 9, 12, 18, 36

66 + 36

= 3 (22 + 12)

Gary did not use the greatest common factor in the equation.

The correct answer:

66 + 36

= 6(11 + 6)

Therefore, Gary did not use the greatest common factor in the equation.

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Answer: what unit is this?

Step-by-step explanation:yeah I’ll need the unit to solve this question

The correct value of Jessica's new net salary will be $225.

To calculate Jessica's new net salary after a 5% raise, we need to first determine Sarah's gross salary. We know that Sarah's net salary is $212.50, and 15% of her gross salary is withheld each week.

Let's denote Sarah's gross salary as "G." We can set up the following equation:

G - 15% of G = $212.50

Simplifying the equation, we have:

G - 0.15G = $212.50

0.85G = $212.50

G = $212.50 / 0.85

G ≈ $250

Sarah's gross salary is approximately $250.

Now, to find Jessica's new net salary after a 5% raise, we can calculate 5% of Sarah's gross salary and subtract the withheld amount:

Jessica's net salary = Sarah's gross salary + 5% of Sarah's gross salary - 15% of Sarah's gross salary

Jessica's net salary = $250 + 0.05 * $250 - 0.15 * $250

Jessica's net salary = $250 + $12.50 - $37.50

Jessica's net salary = $225

Therefore, Jessica's new net salary will be $225.

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Answer:

Option A

Step-by-step explanation:

From the picture attached,

In the given triangles ABC and ADC,

m(∠B) = m(∠D) [Given]

AC ≅ CA [Reflexive property]

But in the absence of third property of congruence ΔABC and ΔADC can't be congruent.

Option A is the answer.

Answer: 5 5/8

Step-by-step explanation:

6 5/8=  6*8= 48 48+5=53 53/8

8 5/8= 8*8=64 64+5=69 69/8

5 5/8= 5*8=40 40+5=45 45/8

7 5/8= 7*8=56 56+5=61 61/8

78 members are not traveling

Explanation

Step1

we need to use fractions to find the number of memebers are going away, so the whole number (117) is represented by 1

then,Let

whole number=full staff= 117

One third of them are going away for the Thanksgiving holiday, to find the number of members just do:(fraction by number)

Step 2

now, let's use subtraction to find the number of members that are not traveling

I hope this helps you

Answer:

78

Step-by-step explanation:

So, to solve this problem, we have to divide 117 by 3, because one third of the staff is going away. 117 divided by 3 equals 39, which is number of staff this is going away. Next we have to subtract 39 from 117, which will give us our answer. 117 - 39 = 78

Happy Holidays!

a) Angle RST = 125 degree

b) Angle TUR = 125 degree

c) m∠RTU = 25 degree

d) The value of b is 6.

What is a parallelogram?

A quadrilateral with two sets of parallel sides is referred to as a parallelogram. In a parallelogram, the opposing sides are of equal length, and the opposing angles are of equal size. Additionally, the interior angles that are additional to the transversal on the same side. 360 degrees is the sum of all interior angles.

Given that RSTU is a parallelogram.

m∠URT = 30 degree, m∠TRS = 25 degree.

m∠URS = m∠URT + m∠TRS

Putting m∠URT = 30 degree, m∠TRS = 25 degree in above equation:

m∠URS = 30 + 25

m∠URS = 55 degree.

The consecutive angles of a parallelogram is supplementary.

m∠URS + m∠RST = 180 degree

Putting m∠URS = 55 degree:

m∠RST + 55 degree = 180 degree

m∠RST  = 125 degree

b) The opposite angles of a parallelogram is equal.

Therefore,

m∠TUR = m∠RST = 125 degree

c) Alternate interior angles are equal.

RS is parallel to UT, since opposite sides of a parallelogram is parallel.

RT is a transversal.

m∠TRS = m∠RTU = 25 degree.

d) Opposite sides of parallelogram are equal.

RU = ST

4b - 1 = 23

Add 1 on both sides:

4b = 24

Divide both sides by 4:

b = 6

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The approximate distance around the outside of the circular field is the circumference = 172.7 feet and the correct option is B.

To calculate the circumference of a circle, multiply the diameter of the circle with π (pi). The circumference can also be calculated by multiplying 2×radius with pi (π = 3.14).

We shall derive the approximate distance around the outside of the circular field by calculating for the circumference as follows:

Radius of the circular feild = 27.5

circumference of the circular feild = 2 × 27.5 feet × 3.14

circumference of the circular feild = 55 feet × 3.14

circumference of the circular feild = 172.7 feet.

Therefore, the approximate distance around the outside of the circular field is derived as the circumference which is equal to 172.7 feet.

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The value of x are:

1)

81/2

2)

33/4

3)

13

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

First question:

Since QS is the angle bisector.

We can write as,

PQ/PS = RQ/RS

45/20 = x/18

9/4 = x/18

x = 18 x 9 / 4

x = 9 x 9/2

x = 81/2

Second question:

Since QS is the angle bisector.

We can write as,

PQ/PS = RQ/RS

22/8 = x/6

11/4 = x/6

x = 6 x 11 / 4

x = 66/4

x = 33/4

Third question:

Since QS is the angle bisector.

We can write as,

PQ/PS = RQ/RS

21/15 = (5x - 16)/(3x - 4)

7/5 = (5x - 16)/(3x - 4)

7(3x - 4) = 5(5x - 16)

21x - 28 = 25x - 80

80 - 28 = 25x - 21x

52 = 4x

x = 13

Thus,

The value of x is 81/2, 33/4, and 13.

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Answer:

$11.72

Step-by-step explanation:

Add: $42.29 + $87.99 = $130.28

Subtract: $142 - $130.28 = $11.72

Answer:

he would have spent 131.08 dollars meaning he has 11.72 dollars left.

Step-by-step explanation:

In this triangle, the product of sin B and tan C is\(b^2/(ac)\)  , and the product of sin C and tan B is \(c^2/(ab)\).

In a right-angled triangle ABC, where angle A is 90 degrees, we have the following side lengths:

AB = c (base)

BC = a (hypotenuse)

AC = b (perpendicular)

We need to calculate the products of sin B and tan C, and sin C and tan B.

First, let's calculate sin B and tan C:

sin(B) = opposite/hypotenuse = AC/BC = b/a

tan(C) = opposite/adjacent = AC/AB = b/c

The product of sin B and tan C is sin(B) * tan(C) = (b/a) * (b/c) = \(b^2\)/(ac).

Next, let's calculate sin C and tan B:

sin(C) = opposite/hypotenuse = AB/BC = c/a

tan(B) = opposite/adjacent = AB/AC = c/b

The product of sin C and tan B is sin(C) * tan(B) = (c/a) * (c/b) = \(c^2\)/(ab).

Therefore, in the given right-angled triangle ABC, the product of sin B and tan C is\(b^2\)/(ac), and the product of sin C and tan B is \(c^2\)/(ab).

These formulas hold true for any right-angled triangle, where the base is AB, the hypotenuse is BC, and the perpendicular is AC.

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The question probable may be:

In this triangle, the product of sin B and tan C is _____ , and the product of sin C and tan B is _______.

The different group of 2 players that the coach can pick is 45 groups.

The selection of groups of 2 player can be done using the method of combination.

The different group of 2 players that the coach can pick from the 10 players is calculated as follows;

n = 10C2

\(n = \frac{10!}{(10-2)! 2!} = \frac{10 \times 9\times 8!}{8! \times 2} = 45\)

Thus, the different group of 2 players that the coach can pick is 45 groups.

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Answer:

45

Step-by-step explanation:

I hope this helps!

Answer:

First option pays $480.60 in interest and the second option pays $442.84 in interest

Step-by-step explanation:

Since the probability that a player gets a hit on any given at bat is independent of the other at bats, we can find the probability that Mark has fewer than 3 hits in his next 6 at bats by simply multiplying the probability of getting a hit on each at bat. Since Mark has a probability of 0.155 of getting a hit on any given at bat, he has a probability of (0.155)^3 of getting exactly 3 hits in his next 6 at bats. Therefore, the probability that he has fewer than 3 hits in his next 6 at bats is 1 - (0.155)^3  approx 0.76

Answer:

The probability that Mark will have fewer than 3 hits in his next 6 at bats is approximately 0.204.

Step-by-step explanation:

A batting average is the number of hits a player has divided by the number of times they have been at bat. In this case, Mark has a batting average of 0.155, which means that he has hit 0.155 of the times he has been at bat.

To find the probability that Mark will have fewer than 3 hits in his next 6 at bats, we can use the binomial probability formula. The formula for binomial probability is:

P(x) = (n choose x) * p^x * (1-p)^(n-x)

Where "n" is the number of trials, "x" is the number of successes, "p" is the probability of success on a single trial, and "1-p" is the probability of failure on a single trial.

In this case, the number of trials is 6, the number of successes is 3, and the probability of success on a single trial is 0.155. Plugging these values into the formula, we get:

P(3) = (6 choose 3) * 0.155^3 * (1-0.155)^(6-3)

To calculate the probability that Mark will have fewer than 3 hits in his next 6 at bats, we need to sum the probabilities of 0, 1, and 2 hits. We can use the binomial probability formula to calculate the probability of each of these outcomes, and then add them together to find the total probability.

For 0 hits, the probability is:

P(0) = (6 choose 0) * 0.155^0 * (1-0.155)^(6-0) = 0.009

For 1 hit, the probability is:

P(1) = (6 choose 1) * 0.155^1 * (1-0.155)^(6-1) = 0.054

For 2 hits, the probability is:

P(2) = (6 choose 2) * 0.155^2 * (1-0.155)^(6-2) = 0.141

Adding these probabilities together, we get the total probability that Mark will have fewer than 3 hits in his next 6 at bats:

P(0 or 1 or 2) = 0.009 + 0.054 + 0.141 = 0.204

Therefore, the probability that Mark will have fewer than 3 hits in his next 6 at bats is approximately 0.204.

Using the normal distribution and the central limit theorem, it is found that there is a 0.0409 = 4.09% probability that, from a simple random sample of 300 adults in the county, less than 50% would say they believe that gardening should be part of the school curriculum.

In a normal distribution with mean \(\mu\) and standard deviation \(\sigma\), the z-score of a measure X is given by:

\(Z = \frac{X - \mu}{\sigma}\)

In this problem:

Then, the mean and the standard error are given by:

\(\mu = p = 0.55\)

\(s = \sqrt{\frac{p(1 - p)}{n}} = \sqrt{\frac{0.55(0.45)}{300}} = 0.0287\)

The probability is the p-value of Z when X = 0.5, hence:

\(Z = \frac{X - \mu}{\sigma}\)

By the Central Limit Theorem

\(Z = \frac{X - \mu}{s}\)

\(Z = \frac{0.5 - 0.55}{0.0287}\)

\(Z = -1.74\)

\(Z = -1.74\) has a p-value of 0.0409.

0.0409 = 4.09% probability that, from a simple random sample of 300 adults in the county, less than 50% would say they believe that gardening should be part of the school curriculum.

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Answer:

Step-by-step explanation:

Answer:

One-third of the difference of h and 1

A rectangle and two semicircles make up this figure. The perimeter of this figure is 423.52m.

The complete length of a shape's boundary is referred to as the perimeter in geometry. The perimeter of a shape is determined by adding the lengths of all of its edges and sides. Linear measurements like centimeters, meters, inches, and feet are used to express its dimensions. The area around a form's edge is known as its perimeter. The perimeter of a shape is always calculated by summing the lengths of its sides.

Perimeter=2*1/2πd+2a

d=68, a=105

Perimeter = 2*1/2*3.14*68+2*105

423.52m

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Answer:

The answer is the 3rd one.