Mandy is playing a game. Early in the game she had -250 points. Now Mandy has 350 points. What was the change in Mandy's score?

Answer:

the answer is A. 10° because C is almost half a right angle, D is close to it so it's also a no no, E is a little too big for it

Answer:

its y=2

Step-by-step explanation:

The length and the width of the rectangle are 22 inches and 16 inches respectively

The given parameters are:

Length = 6 inches + width

Perimeter = 76 inches

The perimeter is calculated as:

Perimeter = 2 * (Length + Width)

This gives

76 inches = 2 * (6 inches + Width + Width)

Divide through by 2

38 inches = 6 inches + Width + Width

Evaluate the like terms

2 * Width = 32 inches

Divide both sides by 2

Width = 16 inches

Substitute Width = 16 inches in Length = 6 inches + width

Length = 6 inches + 16 inches

Evaluate

Length = 22 inches

Hence, the length and the width of the rectangle are 22 inches and 16 inches respectively

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Answer:

I still think you equations are wrong...

4000/4000 not 400/400

Step-by-step explanation:

2000 A+ 6000B=520

4000A+4000B        =480

~~~~~~~~~~~~~~~~~~~~~

2000 A+ 6000B=520

-2000A - 2000B   =-240  

4000B = 280

B=7%

A=5%

The measurement of angle DBC is equal to 33°, here we have to know the meaning of angle.

Angle is the measurement distance between two straight line or ray when they meet and it can also say that their one part is opening and other part is joint.

We have given that, ∠ABD = 4x, ∠DBC = 3x and measure of angle ABC is equal to 77°.

So ∠ABD + ∠DBC = ∠ ABC

⇒  4x + 3x = 77°

⇒ 7x = 77°

⇒ x = 11°

So, ∠ ABD = 4x = 4 * 11 = 44°

and, ∠DBC = 3x = 3 * 11 = 33°

Therefore, angle DBC is equal to 33°.

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Complete Question:

What is the measure of angle DBC if the measure of angle ABD is represented by 4x, the measure of angle DBC is represented by 3x and the measure of angle ABC is 77° ?

Answer:

10

Step-by-step explanation:

19-17=2

10+2=12-2 =10

Answer:

Step-by-step explanation:

The value of the function is given by the relation

f ( x = -10 ) = -19

f ( 2 ) = 4

f ( -5 ) = 25

f ( -1 ) = 1

f ( 8 ) = -5

The function rule is the relationship between the input or domain and the output or range. A relation is a function if and only if there exists one value in the range for every domain value.

A function is a relation from a set of inputs to a set of possible outputs where each input is related to exactly one output.

Given data ,

Let the function be represented as f ( x )

Now , the value of f ( x ) is

f ( x ) = { 2x + 1    when x ≤ 5

             x²          when -5 ≤ x ≤ 5

             3 - x      when x ≥ 5   }

Now , the value of the function is given by

when x = -10

f ( -10 ) = 2 ( -10 ) + 1

f ( -10 ) = -19

f ( 2 ) = 2²

f ( 2 ) = 4

f ( -5 ) = ( -5 )²

f ( -5 ) = 25

f ( -1 ) = ( -1 )²

f ( -1 ) = 1

f ( 8 ) = 3 - 8

f ( 8 ) = -5

Hence , the function is solved

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Writing linear equations given two points can be a useful skill when graphing linear equations.

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The rounded whole numbers are 25 and 4. The estimated quotient is approximately 6.25.

To round the mixed numbers to the nearest whole number, we look at the fractional part and determine whether it is closer to 0 or 1.

For the first mixed number, \(24\frac{16}{17}\), the fractional part is 16/17, which is greater than 1/2.

Therefore, rounding to the nearest whole number, we get 25.

For the second mixed number, \(4\frac{8}{9}\), the fractional part is 8/9, which is less than 1/2.

Therefore, rounding to the nearest whole number, we get 4.

Now, we can estimate the quotient:

25 ÷ 4 = 6.25

So, the estimated quotient of \(24\frac{16}{17}\) ÷  \(4\frac{8}{9}\) is approximately 6.25.

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Using compound interest, it is found that:

a) Pietro will have $1,719.49 in his account after 5 years.

b) The interest rate is of 8.19%.

The amount of money earned, in compound interest, after t years, is given by:

\(A(t) = P\left(1 + \frac{r}{n}\right)^{nt}\)

In which:

Item a:

Then:

\(A(t) = P\left(1 + \frac{r}{n}\right)^{nt}\)

\(A(5) = 1500\left(1 + \frac{0.0275}{2}\right)^{2(5)}\)

\(A(5) = 1719.49\)

Pietro will have $1,719.49 in his account after 5 years.

Item b:

Then:

\(A(t) = P\left(1 + \frac{r}{n}\right)^{nt}\)

\(1.5(1500) = 1500\left(1 + \frac{r}{4}\right)^{20}\)

\(1.5 = (1 + \frac{r}{4}\right)^{20}\)

\(\sqrt[20]^{(1 + \frac{r}{4}\right)^{20}} = \sqrt[20]{1.5}\)

\(1 + 0.25r = 1.02048015365\)

\(0.25r = 0.02048015365\)

\(r = \frac{0.02048015365}{0.25}\)

\(r = 0.0819\)

The interest rate is of 8.19%.

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The correct placement of brackets to make the equation true is 3 + (4 * 2) - (2 * 3) = 3

To make the equation 3 + 4x2 - 2x3 = 3 true, we need to determine the correct placement of brackets to ensure the order of operations is followed.

Given the expression 3 + 4x2 - 2x3, we first perform the multiplications from left to right.

Multiplying 4x2, we have:

3 + (4 * 2) - 2x3 = 3 + 8 - 2x3

Next, we perform the multiplication 2x3:

3 + 8 - (2 * 3) = 3 + 8 - 6

Now, we perform the additions and subtractions from left to right:

3 + 8 - 6 = 11 - 6 = 5

As a result, the right bracket arrangement to make the equation true is: 3 + (4 * 2) - (2 * 3) = 3

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Therefore, the Distance from floor = 11 cm

Given : Max height achieved = 42 cm t = 0.5 s

Min. height = -11 cm t = 1.2 s ( negative sign shows below floor level assuming floor to be at 0 )

To find : SInusoidal Function representing this sysytem

Mid line = (42 + (-11)) / 2 = 15.5

Amplitude = 42 - 15.5 = 26.5 cm = A

Vertical shift = 15.5 cm = D

Time period = 2 x ( 1.2 - 0.5 ) = 1.4 s ==== T = 2pi/B == B = 2pi/1.4 = 1071/7

General equaion : y = A sin (B(x-c)) + D

y = 26.5 sin ( 1071/7 ( x - 0.15) ) + 15.5

EQUATION WILL BE - D = 26.5 sin ( 1071/7 ( t - 0.15 )) + 15.5

(B) distance at t = 4s

putting t = 4 in the equation

D = -11

Therefore, the Distance from floor = 11 cm

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It is critical to open a compass with over half the way in order for the arcs formed to meet for perpendicular bisector.

A perpendicular bisector would be a line that cuts a line segment in half and forms a 90-degree angle at the intersection point. In other words, a perpendicular bisector separates a line segment now at midpoint, forming a 90-degree angle.

Now, consider an example;

When you wish to build a perpendicular line on a line segment, like line AB, you do the following;

A line AB appears to be bisected perpendicularly as a result. The arcs would not have met if the compass is opened less than half way down line AB.

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"If we assume that 57% of Americans says that GM foods are generally unsafe to eat, then there is an 8.8% chance that random sample results will show 60%or more who says that GM foods are generally unsafe to eat" is valid interpretations of this p-valid.

Given info;

Genetically modified foods: A 2016 Pew Research survey found that 56% of Americans believe that eating genetically modified (GM) food is generally harmful. This month, a survey of 500 randomly chosen American citizens found that 60% believe gm foods are typically dangerous to consume. We examine the possibility that more people than 56% believe that eating GM food is generally unsafe this year. 0.084 is the p-value.

If we assume that 57% of Americans say that GM foods are generally unsafe to eat, then there is an 8.8% chance that random sample results will show 60% or more who say that GM foods are generally unsafe to eat” is a good interpretation of the P-value. The P-value is the probability that results will be as or more extreme than those from the latest survey if opinions have not changed since 2014.

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Answer: Ssh=1323π

Step-by-step explanation:

Answer:

square

triangle

5

square pyramid

find area of base and area of a lateral face (base is 1 side squared, lateral face is base * height / 2. Multiply area of lateral face by 4 and add the product to the area of the base to find the Surface Area.

Step-by-step explanation:

1. The shape of the base is a square.

2. The lateral faces are triangles.

3. Including the square and four triangles, the figure has 5 faces.

4. Square pyramid.

5. Find the surface area of the square. Find the surface area of one triangle, and multiply by 4 to get all of them. Add the area of the four triangles to the area of the square.

Hope this helps.

The monthly pay for Jerry is $6500.

Jerry hit the maximum taxable social security income in the 3.36 months.

The social security tax Jerry paid in January is $403

The social security tax Jerry paid in December is zero

What is monthly gross pay?

Monthly gross pay is the amount received by an employee monthly prior to the time at which tax and other deductions are being taken from his/her account.

From the parameters given:

A.

Jerry earned $78000 yearly; her monthly gross pay can be computed as:

\(\mathbf{=\dfrac{78000}{12}}\)

= $6500

B.

The federal tax rate for a single person in 1990 is 28.0%

From $78000, Jerry tax rate = $21840

Therefore, the month that Jerry reaches maximum taxable social security income is computed as:

\(\mathbf{=\dfrac{\$21840}{\$6500/month}}\)

= 3.36 months

C.

Let's assume that the social security tax rate in 1990 was 6.20%.

Then, the amount of social security tax paid in January (since it is a single month) is:

\(\mathbf{= \dfrac{6.20}{100} \times \$6500}\)

= $403

D.

Provided that the number of months required to complete the maximum social security tax is 3.36 months and the social security tax we are to determine is more than 3.36 months(December);

We can conclude that the social security tax Jerry paid for the month of December is zero.

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Part A: To find the total surface area of the rectangular prism, we need to calculate the areas of all six faces and then add them together.

Given dimensions:

Length = 7 feet

Width = 3 feet

Height = 4.8 feet

Surface Area of each face:

Front and back faces: Length * Height

= 7 feet * 4.8 feet

= 33.6 square feet

Top and bottom faces: Width * Length

= 3 feet * 7 feet

= 21 square feet

Side faces: Width * Height

= 3 feet * 4.8 feet

= 14.4 square feet

Total Surface Area:

2 * (Front and back faces) + 2 * (Top and bottom faces) + 2 * (Side faces)

= 2 * 33.6 square feet + 2 * 21 square feet + 2 * 14.4 square feet

= 67.2 square feet + 42 square feet + 28.8 square feet

= 137 square feet

Therefore, the total surface area of the bench is 137 square feet.

Part B: To calculate the cost of covering the bench with ceramic tiles, we need to multiply the total surface area by the cost per square foot.

Cost per square foot = $0.89

Total Surface Area = 137 square feet

Total cost to cover the bench:

= Cost per square foot * Total Surface Area

= $0.89 * 137 square feet

= $121.93

Therefore, it will cost $121.93 to cover the bench with ceramic tiles.

AE(X) = $23,333.33  could John expect to collect in yearly leases for the whole building in a given year.

What is  probability ?

The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a proposition is true. An event's probability is a number between 0 and 1, where, roughly speaking, 0 denotes the event's impossibility and 1 denotes certainty.

The given table is:

Number of Lease Offices :  0           1         2       3        4         5

Probability                         : 5/18     1/4     1/9    1/18     2/9      1/12

The expected probability is

Expected probability \($=\sum_{i=0}^5 x_i p\left(x_i\right)$\)

Expected probability \($=0 p(0)+1 P(1)+2 P(2)+3 P(3)+4 P(4)+5 P(5)$\)

Expected probability \($=0 \cdot\left(\frac{5}{18}\right)+1 \cdot\left(\frac{1}{4}\right)+2 \cdot\left(\frac{1}{9}\right)+3 \cdot\left(\frac{1}{18}\right)+4 \cdot\left(\frac{2}{9}\right)+5 \cdot\left(\frac{1}{12}\right)=\frac{35}{18}$\)

It is given that the yearly lease \($=\$ 12,000$\).

The yearly leases for the whole building in a given year is

Yearly leases \($=\frac{35}{18} \times 12000=23333.3333333 \approx 23333.33$\)

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Jackie needs 12 cups of orange juice and 8 cups of banana juice.

Cups of Strawberry juice Jackie has = 4

Cups of strawberry juice needed to make 1 punch= 1

Number of punches Jackie an make using 4 cups of strawberry juice,

  4/1 = 4.

So she can make four fruit punches.

Cups of orange juice required for one punch = 3

Cups of orange juice required for 4 punches = 3×4 = 12

Cups of banana juice required for one punch = 2

Cups of banana juice needed for four punches = 2×4 = 8

This can be also solved by using proportions.

Ratio of orange: strawberry: banana = 3: 1: 4

Cups of punches that can be made from 4 cups of strawberry are 4.

So,

  3 : 1 : 4

Multiplying the ratio by 4

 3×4 : 1×4 : 2×4 = 12 : 4 : 8

So it requires 12 cups of orange juice and 8 cups of banana juice.

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The equation of the plane passing through the point (1, 4, -4) with normal vector 〈3, 5, -2〉 can be written as:

3(x - 1) + 5(y - 4) - 2(z + 4) = 0

Expanding and rearranging terms, we get:

3x + 5y - 2z - 23 = 0

To parameterize this plane, we can let:

x = s

y = t

z = (3s + 5t - 23) / 2

Therefore, the parameterization of the plane is:

r (s,t) = <s, t, (3s + 5t - 23) / 2>

By definition, "to parameterize" means "to express in terms of parameters". A mathematical technique known as parameterization involves representing the state of a system, process, or model as a function of a set of independent variables known as parameters.

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Answer:

m∠3 = 112°     m∠5 = 38°     m∠6 = 68°    m∠8 = 74°

You do the others

Step-by-step explanation:

Facts you need to solve this problem.

1.  Vertical angles are congruent

2.  Alternate interior angles are congruent when lines are parallel

3.  Sum of the measures of the angles of a triangle is 180

4.  Adjacent angles are supplementary when two lines intersect

m∠3 = 112°   (Reason 1 above)

m∠6 = 180 - 112 = 68°   (Reason 4)

m∠6 + m∠5 + 74 = 180°  (Reason 3)

68 + m∠5 + 74 = 180

142 + m∠5 = 180

m∠5 = 38°

m∠8 = 74°  (Reason 2)

That gives you a start, so I will let you find all the others.  OK?  I know you don't want to do that, but you need to be able to do this type of problem.  Now, go for it!!

It is false as the left and right ends of the normal probability distribution extend indefinitely, approaching but never touching the horizontal axis.

The statement is false because the left and right ends of the normal probability distribution do not extend indefinitely. In reality, the normal distribution is defined over the entire real number line, meaning it extends infinitely in both the positive and negative directions. However, as the values move further away from the mean (the center of the distribution), the probability density decreases. This means that although the distribution approaches but never touches the horizontal axis at its tails, the probability of observing values extremely far away from the mean becomes extremely low. Thus, while the distribution theoretically extends infinitely, the practical probability of observing values far from the mean decreases rapidly.

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There are 7 degrees of freedom.

In performing the pooled-variance t test, the degrees of freedom can be calculated using the formula:
df = (n1 - 1) + (n2 - 1)

Substituting the given values:
df = (4 - 1) + (5 - 1)
df = 3 + 4
df = 7

Therefore, there are 7 degrees of  freedom.

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There are 7 degrees of freedom for the pooled-variance t-test.

To perform a pooled-variance t-test, we need to calculate the degrees of freedom. The formula for degrees of freedom in a pooled-variance t-test is:

\(\[\text{{df}} = n_1 + n_2 - 2\]\)

where \(\(n_1\)\) and \(\(n_2\)\) are the sample sizes of the two independent samples.

In this case, \(\(n_1 = 4\)\) and \(\(n_2 = 5\)\). Substituting these values into the formula, we get:

\(\[\text{{df}} = 4 + 5 - 2 = 7\]\)

In a pooled-variance t-test, we combine the sample variances from two independent samples to estimate the population variance. The degrees of freedom for this test are calculated using the formula \(df = n1 + n2 - 2\), where \(n_1\)and \(n_2\) are the sample sizes of the two independent samples.

To understand why the formula is \(df = n1 + n2 - 2\), we need to consider the concept of degrees of freedom. Degrees of freedom represent the number of independent pieces of information available to estimate a parameter. In the case of a pooled-variance t-test, we subtract 2 from the total sample sizes because we use two sample means to estimate the population means, thereby reducing the degrees of freedom by 2.

In this specific case, the sample sizes are \(n1 = 4\) and \(n2 = 5\). Plugging these values into the formula gives us \(df = 4 + 5 - 2 = 7\). Hence, there are 7 degrees of freedom for the pooled-variance t-test.

Therefore, there are 7 degrees of freedom for the pooled-variance t-test.

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Answer:

358.125

Step-by-step explanation:

Answer:

358 3/24

Step-by-step explanation: