Which statement is true regarding the graphed functions?
1. f(4)= g(4)
2.f(4)= g(-2)
3.f(2)= g(-2)
4.f(-2)= g(-2)

Answer:

QR = 15

Step-by-step explanation:

The product of the length of the secant segment and its external part equals the square of the length of the tangent segment.

(QR+5) *5 = 10^2

(QR+5) *5 = 100

Divide each side by 5.

(QR+5) *5/5 = 100/5

(QR+5)  = 20

Subtract 5 from each side.

QR = 20-5

QR = 15

Answer:

I think the awnser is probably b

Answer:

m=3.5h

Step-by-step explanation:

Just by looking at this, you know that it won't be either of the adding equations because it only works for the bottom input and output. So, we'll just look at the multiplying ones.

We know that multiplying should get us a bigger number (unless it's a fraction), so the equation h=3.5m won't work very well with this because h would be getting smaller not bigger.

That leaves us with m=3.5h.

To check this, I'll multiply 3.5 by 4 to see if it equals what m is on the table. Sure enough, it's 14. This also works with 2.5 and 8.75.

True. In game theory and decision theory, the Hurwicz criterion is a decision-making rule between the minimax and maximin criteria.

The Hurwicz criterion is a hybrid of the minimax and maximin criterion. The minimax criterion is concerned with minimising the most potential loss, whereas the maximin criterion is concerned with maximising the least possible gain. The Hurwicz criterion is expressed as a weighted average of the greatest and worst outcomes:

Decision value = α(best payoff) + (1-α)(worst payoff)

where alpha is coefficient representing the decision-maker's optimism or pessimism. The Hurwicz criterion provides a more versatile decision-making tool than the minimax or maximin criteria alone, allowing for a balance between risk-taking and risk-aversion.

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Answer:

7.8

-7.9

-17.40

1. 5.6

-2. 17.18

-5. 7.12

.8 15.22

Step-by-step explanation:

Answer:

x < 18

Step-by-step explanation:

Circumference of a circle with equation \((x+2)^{2}+(y-3)^{2}\) = 9 is 6pi.

To find the circumference of a circle with equation  \((x+2)^{2}+(y-3)^{2}\) = 9, we first need to identify its radius, which is the square root of the constant term 9. The radius is therefore 3 units.

The formula for the circumference of a circle is C = 2πr, where C is the circumference, r is the radius, and π is a mathematical constant approximately equal to 3.14159.

Using this formula, we can calculate the circumference of the given circle as:

C = 2πr = 2π(3) = 6π

Therefore, the circumference of the circle with equation  \((x+2)^{2}+(y-3)^{2}\) = 9 is 6π units.

It's important to note that the circumference of a circle is the distance around the edge of the circle. It is an important parameter for many applications in geometry, physics, and engineering, among others. Being able to calculate the circumference of a circle given its equation is a fundamental skill in mathematics and is essential for solving many problems in different fields.

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Answer:

m∠A=  115

Step-by-step explanation:

The required measure of the angle A is 115°.

Given that,
Two corresponding equal angles are given,
A = 4x - 13 and B = 3x + 19 all are in degrees.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

What is the angle?

The angle can be defined as the one line inclined over another line.

Here,
A = 4x - 13

B = 3x + 19

A = B
4x - 13 = 3x + 19
4x - 3x = 19 + 13
x = 32

Now the measures,
A = 4x -13

A = 4 * 32 - 13
A = 128 - 13
A = 115

Thus, the required measure of the angle A is 115°.

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Using Punnett square, If parents with heterozygous and straight hair are crossed then out of their 6 kids 3 of them will have straight hair.

If one parent has curly hair and is heterozygous (Cc) and the other parent has straight hair (cc), the Punnett square for their offspring would look like this:

\($$\begin{matrix} & C & c \\ c & Cc & cc \\ c & Cc & cc \end{matrix}$$\)

Each box in the Punnett square represents the possible genotype of an offspring, where C represents the dominant curly hair allele and c represents the recessive straight hair allele.

From this Punnett square, we can see that 50% of the offspring will inherit one C allele from the curly-haired parent and one c allele from the straight-haired parent, making them carriers of the curly hair allele (Cc). The other 50% will inherit one c allele from each parent, making them homozygous recessive for straight hair (cc).

Therefore, out of 6 kids, we can expect 50% or 3 of them to have straight hair.

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Michelle would need to shoot an additional 40 free throws to have a shooting percentage of 90%.

Let's denote the number of additional free throws that Michelle needs to make as "x." Since she has made 14 out of her 20 free throws this season, her current shooting percentage is:

Current shooting percentage = (Number of made free throws / Total number of attempted free throws) * 100

                        = (14 / 20) * 100

                        = 70%

To find the number of additional free throws she needs to shoot to achieve a shooting percentage of 90%, we set up the following equation:

(14 + x) / (20 + x) = 90/100

We can now solve this equation to find the value of x:

(14 + x) / (20 + x) = 0.9

Cross-multiplying gives:

0.9 * (20 + x) = 14 + x

18 + 0.9x = 14 + x

0.9x - x = 14 - 18

-0.1x = -4

Dividing both sides by -0.1 gives:

x = 40

Therefore, Michelle would need to shoot an additional 40 free throws to have a shooting percentage of 90%.

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The time it take riders to pass over the hill and reach ground level is 111.19 seconds .

Given :

the roller coaster's height expressed by the equation below;

h = -0.067t^2 + 7t + 50

where

t is the time in seconds

The driver will hit the ground at the point where h = 0

Substitute

-0.067t^2 + 7t + 50 = 0

Multiply through  by -1

0.067t^2 - 7t +-50 = 0

Factorize :

On factorizing, the positive value of "t" is 111.19 seconds

Hence the time it take riders to pass over the hill and reach ground level is 111.19 seconds

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Answer:

a) 3, 6, 9, 12, 15,...,\(3\cdot n\), b) 4, 7, 10, 13, 16,...,\(3\cdot n +1\), c) Both sequences are arithmetic.

Step-by-step explanation:

a) The sequence of natural numbers which are multiplied by 3 are represented by the function \(f(n) = 3\cdot n\), \(n\in \mathbb{N}\). Let see the first five elements of the sequence: 3, 6, 9, 12, 15,...

b) The sequence of natural numbers which are multiplied by 3 and added to 1 is represented by the function \(f(n) = 3\cdot n + 1\), \(n\in \mathbb{N}\). Let see the first five elements of the sequence: 4, 7, 10, 13, 16,...

c) Both sequences since differences between consecutive elements is constant. Let prove this statement:

(i) \(f(n) = 3\cdot n\)

\(\Delta f = f(n+1) -f(n)\)

\(\Delta f = 3\cdot (n+1) -3\cdot n\)

\(\Delta f = 3\)

(ii) \(f(n) = 3\cdot n +1\)

\(\Delta f = f(n+1)-f(n)\)

\(\Delta f = [3\cdot (n+1)+1]-(3\cdot n+1)\)

\(\Delta f = 3\)

Both sequences are arithmetic.

Answer:

1 ÷ 11

Step-by-step explanation:

The computation is shown below:

let us assume the yellow cubes be x

So, blue cubes be 2x

And, green cubes be 2x (4) 8x

Now the ratio is

Yellow: Blue: green

x:2x:8x

1:2:8

Now the probability of yellow cubes is

= 1 ÷ (1 + 2 + 8)

= 1 ÷ 11

As per given gross income of $7925 , federal tax at the rate of 10% is $792.50, state tax at the rate of 5% is $396.25 and FICA combined is $1188.75.

As given,

Gross income=$7925

Rate of federal tax=10%

Amount of federal tax=10% of $7925

                                     =(10/100)×7925

                                     =$792.50

Rate of state tax=5%

Amount of state tax=5% of $7925

                                     = (5/100) ×7925

                                     = $396.25

FICA combined= $(792.50 +396.25)

                          = $1188.75

Therefore, as per given gross income of $7925 , federal tax at the rate of 10% is $792.50, state tax at the rate of 5% is $396.25 and FICA combined is $1188.75.

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Answer:

The answer is (1,-5)! Try using Desmos graphing calculator next time as well :)

Step-by-step explanation:

Answer:

La respuesta es 51-52-53, Si No me crees calculalo

Step-by-step explanation:

1. The average of the set of data is 88.325

2. The average absolute deviation for the set of data is 0.575

The following data were obtained from the question:

The average of the given set of data can be obtained as follow:

Average = Summation of data / number of data

Average = 353.3 / 4

Average = 88.325

The average absolute deviation for the data can be obtained as follow:

Average absolute deviation = absolute deviation / number of data

Average absolute deviation = 2.3 / 4

Average absolute deviation = 0.575

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Considering the definition of an equation and the way to solve it, Hailey's age is 18 years.

An equation is the equality existing between two algebraic expressions connected through the equals sign in which one or more unknown values, called unknowns, appear in addition to certain known data.

The members of an equation are each of the expressions that appear on both sides of the equal sign while the terms of an equation are the addends that form the members of an equation.

The solution of a equation means determining the value that satisfies it. In this way, by changing the unknown to the solution, the equality must be true.

To solve an equation, keep in mind:

Being "x" the age of the youngest child, then you have:

On the other hand, you know that the sum of their ages is 66. Then, the equation is:

x + x + 1 + x + 2 + x + 3 = 66

Solving:

4x + 6 = 66

4x = 66 - 6

4x = 60

x= 60 ÷ 4

x= 15

Remembering that "x + 3" is Hailey's age, then her age is calculated as: x+3= 15 +3= 18

Finally, Hailey's age is 18 years.

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Answer:

If your adding the 400 then it will be 3800000400

if your subtracting 400 it will be 3799999600

If your dividing 400 it will be 76000000000

If you multiplying 400 it will be 152000000000

Hope i helped

False.Compared to sampling, conducting a census is typically more time-consuming and more expensive. A census involves gathering data from an entire population, which can be a time-intensive and costly process.

It requires reaching out to and collecting information from every individual or unit in the population, which can be logistically challenging and resource-intensive.

In contrast, sampling involves selecting a subset, or a sample, from the population and collecting data from that sample. Sampling allows for estimating characteristics of the population with a smaller time and cost investment compared to a census.

By selecting a representative sample, one can make inferences about the population as a whole without the need to survey or collect data from every individual or unit.

Therefore, sampling is generally considered to be a more efficient and cost-effective method compared to conducting a census.

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Answer:

746.4

Step-by-step explanation:

Answer:

See below

Step-by-step explanation:

g (h(6))   :

   h (6) =  3 ( 6^2) + 2 = 110

   then g (110) =   sqrt (110)

h (g(5))

    g(5) = sqrt 5

        then h( sqrt5) = 3 ( sqrt5)^2 + 2 = 17

Answer:

18.4 what the right answer

Step-by-step explanation:

Answer:

24) x = 9.2

25) x = 30.8

Step-by-step explanation:

Given

See attachment for triangles

Solving (24)

To solve for x, we make use of cosine formula

i.e.

cos(40) = adjacent ÷ hypotenuse

So, we have:

cos(40) = x ÷ 12

Multiply both sides by 12

12 cos(40) = x

12 * 0.7660 = x

x = 9.2

Solving (25)

To solve for x, we make use of sine formula

i.e.

sin(25) = opposite ÷ hypotenuse

So, we have:

sin(25) = 13 ÷ x

Multiply both sides by

x sin(25) = 13

Divide by sin(25)

x = 13 ÷ sin(25)

Using a calculator

x = 30.8

The radius of the sphere is 71. 41 mm

The formula that is used for calculating the volume of a sphere is expressed as;

V = 4/3 πr³

This is so such that the parameters are expressed as;

Now, substitute the values, we get;

5100π = 4/3 πr³

Divide the values, we get;

5100 = 4/3r³

Cross multiply the values

3r³ = 15300

Divide by the coefficient

r³ = 5100

Find the cube root

r = 71. 41 mm

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There are 20 different ways the wires can be crossed.

To determine the number of different ways the wires can be crossed, we need to find the number of combinations of 3 wires out of the total 6 wires. This can be calculated using the formula for combinations, which is given by:

C(n, r) = n! / (r! * (n - r)!)

Where n is the total number of items and r is the number of items to be chosen.

In this case, we have 6 wires and we need to choose 3 of them, so we can calculate the number of ways as follows:

C(6, 3) = 6! / (3! * (6 - 3)!)

        = 6! / (3! * 3!)

        = (6 * 5 * 4) / (3 * 2 * 1)

        = 20

Therefore, there are 20 different ways the wires can be crossed.

The correct option is a. 20.

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In order to simplify and verify trig identities, one needs to use the rules of trigonometry and algebra to manipulate the equation until it is in a simplified form.

The most common trig identities to remember include the Pythagorean identity, reciprocal identities, quotient identities, and sum and difference identities. When simplifying an equation, it is important to remember to include the negative sign when necessary and to factor out any common factors.

After simplifying, it is important to verify the equation. This can be done by plugging in known values for the variables and verifying that the equation is true. By utilizing the rules of trigonometry and algebra, one can simplify and verify trig identities. This process is essential for working with trigonometric functions.

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The solutions of the equation algebraically are x = 5 and x = -7

From the information given, we have the quadratic equation;

|x| = x2 + x − 35

The sign , '| |' represents the modulus sign and says that the value must be a positive value.

Then, we have;

x² + x + x - 35

add the like terms

x² + 2x - 35

Find the pair factors of -35 that add up to 2, we have;

x² + 7x - 5x - 35

Group the expression in pairs

(x² + 7x) - (5x - 35)

factorize the expression

x(x + 7) - 5(x + 7)

Then, we have that;

x - 5 = 0

x = 5

x + 7 = 0

x = -7

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Answer:

1139621600

Step-by-step explanation:

The answer is 1139621600, because if it is in 2001. All you have to o is multiply by 4. I don't know if this is correct. If they gave you another year and another set of numbers I would be able to clarify it more. So...if this isn't correct. I'm so sorry.

If you think its incorrect please say so in comments below. Any questions? Say them below as well.

I hope this helped.

:)

Signed,

tyreefrankinjr

Answer:

Tuesday

Step-by-step explanation:

Answer:

Saturday.

Step-by-step explanation:

There are 7 days in a week.

. . . . . . . . . . . . 10,000 days

10,000 days = ------------------- = 1428.57142847 weeks

. . . . . . . . . . . . 7 days / week

My answer indicates 1428 full weeks, the decimal portion indicates a partial week that is added to the number of full weeks.

that mean we need to convert this decimal portion into the number of days.

0.57142847 weeks  x 7 days / week = 4 days

If the war starts on Wednesday, our calculations above tell us the 10,000th day occurs 1428 full weeks plus 4 additional days later.

A full week has 7 days, for a full week starts on Wednesday,that mean it will end on a Tuesday because:

Wednesday = day #1

Thursday = day #2

Friday = day #3

Saturday = day #4

Sunday = day #5

Monday = day #6

Tuesday = day #7

At the end the 1428th (full) week is on a Tuesday.

Then that's when we add the partial week of 4 days, we get:

Wednesday = 1 day later

Thursday = 2 days later

Friday = 3 days later

Saturday = 4 days later.

Therefore, 10,000 days from Wednesday is a Saturday.