Sketch the graph of each function.
1)f(x)= -2 x-1, & ,x≤2
-x+4,x>2

Answer:

1.339 Canisters

Step-by-step explanation:

Because you are making 5 meatloafs for a party, and according to the recipe you need 1 1/4 cup of breadcrumbs per each meatloaf. In each canister there is 14/3 cups of breadcrumbs which you can see by multiplying the serving size by the servings per container.

Since you need five meatloafs, you can figure out how many cups of breadcrumbs you need by multiplying 1 1/4 cups by 5. This gives you 6 1/4 or 6.25 cups.

In each canister of breadcrumbs, there are 14/3 cups or 4.667 cups of breadcrumbs.

To figure out how many canisters you need, you divide the amount of breadcrumbs you need (6.25 cups) by the amount of breadcrumbs you have (4.667) which gives you 1.339 canisters.

Answer:

Step-by-step explanation:

Quadratic means squared equation so

the first one is your answer.

y= 4x²

Answer: y = x + 4

Step-by-step explanation:

y = mx + b

y is going up by 1 and x is going up by 4.

so y = x + 4.

to check if it's the correct answer plug in one of the numbers to x and y.

for example:

y = x + 4

2 = -2 + 4

Answer:

(x + i) (x - i)

Step-by-step explanation:

The expression x^2 + 1 is a sum of squares, which means that it cannot be factored using real numbers. However, it can be factored using complex numbers.

To factor x^2 + 1, we can use the fact that i^2 = -1, where i is the imaginary unit.

We can rewrite x^2 + 1 as:

x^2 + 1 = x^2 - (-1)

Now, we can use the difference of squares formula to factor x^2 - (-1):

x^2 - (-1) = (x + i)(x - i)

Therefore, the factored form of x^2 + 1 is:

(x + i)(x - i)

1 and 5 are yes and the rest are no

Answer: See explanation

Step-by-step explanation:

67 × 100 = 6700

67 × (10 x 10)      Yes

10 × 10 = 100

67 × 100 = 6700

67 × (10 × 10 × 10)      No

10 × 10 × 10 = 1000

67 × 1000 = 67000

670 × 10³           No

10³ = 1000

670 × 1000 = 670000

670        No

670 ≠ 6700

6700      Yes

6700 = 6700

67000      No

67000 ≠ 6700

Hope this helped!

Answer:

pemdas

Step-by-step explanation: pemdas means please excuse my dear aunt sally meaning paranthesiss multiplication division addition and subtraction ^^ tell me if you want more definiton

Answer:

10 centimeters

Step-by-step explanation:

For the height:

40 ft / 20 cm = 2 ft / cm

With this ratio, we find the length as follows:

2 ft / cm = 20 ft / x cm

\(2 = \frac{20}{x} \)

\(2x = 20\)

\(x = 10\)

Answer:

10 cm

Step-by-step explanation:

Look at the answer

Answer:

A

Step-by-step explanation:

Subtracting the first integer (7) from the second one (-6) is equal to -13 (-6 - 7 = -13 is the correct order to get -13 as an answer, not 7 - (-6)). The correct answer for 7 - (-6) is 13, because two negative signs turn into a positive, therefore adding up to 13.

As an exponential equation, the log equation log (x²- 5x + 14) = 2x + 4 is 9514 1404 393

Given,

x² - 5x + 14 = 10^(2x +4)

The relationship is ...

log(a) = b   ⇔   a = 10^b

Using this with a = x² - 5x + 14 and b = 2x + 4, we have ...

x² - 5x + 14 = 10^(2x +4)

The complete question is:

Write the log equation as an exponential equation. You do not need to solve for x. log (x^2– 5x + 14) = 2x + 4

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Answer:

To find the number of federally insured banks in 1985, we need to substitute t = 1985 into the equation B(t) = -328.2t + 13716:

B(1985) = -328.2 * 1985 + 13716

B(1985) = -648537 + 13716

B(1985) = 7122

So, there were approximately 7122 federally insured banks in 1985.

The slope of the graph of B represents the rate of change. From the equation B(t) = -328.2t + 13716, we can see that the slope is -328.2. Therefore, the interpretation of the slope as a rate of change is: "The number of banks decreased by 328.2 banks per year."

The y-intercept of the graph of B represents the value of B when t = 0, which corresponds to the year 1980. From the equation B(t) = -328.2t + 13716, the y-intercept is 13716. Therefore, the interpretation of the y-intercept is: "The y-intercept is the number of banks in 1980."

The value of -4² + (5-2) (-8) is -34.

Integers come in three types:

Given:

We have expression as -4² + (5-2) (-8)

Now, solving the terms in the expression

-4² = -(4 x 4)= -16

and, (5-2) (-6)

= 3 (-6)

= -18

So, the value of -4² + (5-2) (-6)

= -16 - 18

= -34

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Answer:

y=−1x+2

Explanation:

Slope intercept form y=mx+b

Answer:

m ≤ 5

Step-by-step explanation:

I will begin by assuming m to be the number.

Then, the sum of m and 3 is: m + 3.

The symbol for "less than or equal to" is ≤.

So we form an inequality, like this :

m + 3 ≤ 8

To find m subtract 3 on each side:

m ≤ 5

Therefore, m ≤ 5.

Answer:

well you see 2+2 is 5 then what all of that say it must mean give your ssn now please

The measure of the central angle θ in degrees and then multiply by 1/(2π). Then that result by πr²

We will use the following points to find the area of the sector;

First of all, the angle that is formed in a full rotation is 2π.

The area of a circle is given by the formula; A = πr²

The central angle is given by the angle symbol θ. Thus, we have to multiply the area of the circle by a factor θ/2π

Thus, the area of a sector is given by the formula;

A = (θ/2π) * πr²

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Answer: …

Step-by-step explanation: you need an image

Answer:

what expression?

Step-by-step explanation:

Answer:

34 grams

Step-by-step explanation:

If the remaining sample has 30.26 grams of radioactive substance, and 11% of it decayed, that means that 30.26 grams is 89% of the original. Let the original be x.

30.26=0.89x

Multiply both by one hundred

3026=89x

Divide both by 89

34=x

x=original, so the original was 34 grams.

In every 10 minutes an average of 3 customers will arrive to the pizza station

Given,

The number of customers arriving to the pizza station follows a poisson distribution with a rate of 18 customers per hour.

We have to find the average number of customers arrives in each 10 minutes.

Here,

The chance that X represents the number of successes of a random variable in a Poisson distribution is provided by the following formula:

P (X = x) = (e^-μ × μ^x) / x!

Where,

The number of successes is x.

The Euler number is e = 2.71828.

μ is the average over the specified range.

Now,

Rate of 18 customers per hour;

μ = 18 n

n is the number of hours.

Number of customers arrive in each 10 minutes

10 minutes = 10/60 = 1/6

Then,

μ = 18 x 1/6 = 3

That is,

In every 10 minutes an average of 3 customers will arrive to the pizza station.

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Answer:

162 Joules

Step-by-step explanation:

Remember, the equation for the kinetic energy of an object is:

\(K=\frac{1}{2}mv^{2}\)

where m is the mass of the object in kg (kilograms), v is the velocity of the object in m/s (meters per second), and K is the kinetic energy of the object in J (joules).

We are given that the cat's mass is 4 kg. We will use this for m. We are also given that the cat is moving at 9 m/s. This would be it's speed. We can use this for velocity, or v. Plugging in we get:

\(K=\frac{1}{2}mv^{2}=\frac{1}{2}(4)(9)^{2}=(2)(81)=162\)

So K, or the kinetic energy, would be 162J.

I hope you find my answer and explanation to be helpful. Happy studying.

Answer:

100,000 Digits of Pi

Step-by-step explanation:

3.141592653589793238462643383279502884197169399375105820974944592307816406286 208998628034825342117067982148086513282306647093844609550582231725359....

Let's denote the height of the turbine from the ground to its hub as "h". We can use trigonometry to solve for "h".

First, we need to find the distance from the observer's eye level to the base of the turbine. We can use the angle of elevation and the observer's distance from the turbine to find this distance.

Using the tangent function:

tan(56.5°) = h / (53 ft + 5.5 ft)

Simplifying and solving for "h":

h = tan(56.5°) * (53 ft + 5.5 ft)

h = 67.8 ft

Therefore, the height of the turbine from the ground to its hub is approximately 67.8 ft to the nearest tenth.

Answer:

The answer is "94"

Step-by-step explanation:

Given data:

51,54,64,68,72,74,76,83,94,94,99

Find:

\(P_{75}=?P_{75}= (\frac{75(n+1)}{100})^{th} \ \ observation\\\\\)

      \(= (\frac{75(11+1)}{100})^{th} \ \ observation\\\\= (\frac{75(12)}{100})^{th} \ \ observation\\\\= (\frac{75 \times 12}{100})^{th} \ \ observation\\\\= (\frac{900}{100})^{th} \ \ observation\\\\= 9^{th} \ \ observation\\\\= 9^{th} \ number \ is = 94\)

The standard deviations above the mean that a student have to score to be publicly recognized will be 0.674.

From the information given, it was stated that the students who score in the top 16 percent are recognized publicly for their achievement by the Department of the Treasury.

Based on the information given, it should be noted that the appropriate thing to do is to find the z score for the 75th percentile.

This will be looked up in the distribution table. In this case, the value is 0.674. Therefore, standard deviations above the mean that a student have to score to be publicly recognized will be 0.674.

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Answer:

8

Step-by-step explanation:

the value of x is 8 because the sides are the same

Answer:

y = 3/8

Step-by-step explanation:

Do 3/4 - 3/8 to get your answer.

3/4 - 3/8

6/8 - 3/8 = 3/8

So, y = 3/8

Answer:

3/8

Step-by-step explanation:

\(y + \frac{3}{8} = \frac{3}{4} \)

\( = > y = \frac{3}{4} - \frac{3}{8} \)

\( = > y = \frac{6 - 3}{8} \)

\( = > y = \frac{3}{8} (ans)\)

The congruence theorem required for each figure are

1. AAS

2. ASA

3. ASA

4. ASA

5. ASA

6. ASA

ASA (Angle-Side-Angle) congruence theorem states that if two triangles have two angles and the included side in common, then they are congruent.

That is to say, if two angles and the included side of one triangle are congruent to the corresponding two angles and included side of another triangle, then the two triangles are congruent.

AAS (Angle-Angle-Side) congruence theorem states that if two angles and a non-included side of one triangle are congruent to the corresponding angles and non-included side of another triangle, then the two triangles are congruent.

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9514 1404 393

Answer:

  y = x +7

Step-by-step explanation:

The slope of the given line can be found as ...

  m = (y2 -y1)/(x2 -x1)

  m = (3 -7)/(-1 -3) = -4/-4 = 1

Then the point-slope form of the equation for the desired line is ...

  y -k = m(x -h) . . . . . . line with slope m through point (h, k)

  y - 9 = 1(x -2)

  y = x -2 +9

  y = x + 7 . . . . slope-intercept form

__

The attachment shows a graphing application that will write the equation of the line. Here, it shows the desired line has the equation ...

  x -y = -7 . . . . desired line equation in standard form

The perimeter of the actual pool will be option C. 1100 ft.

It's the sum of the length of the sides used to make the given figure.

A scale drawing of a new pool is shown. All the corners are at right angles.

The lengths are 6 in, 2 in, 5 in and 3 in.

Perimeter = 6 + 2 + 5 + 3 + 2 + 4

                 = 22 in

We have given a scale;

1/2 in = 25 ft

So, 1 in = 50 ft

26 in will be

22 x  50 = 1100 ft

Hence, the perimeter of the actual pool will be option C. 1100 ft.

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The quadrilateral PQRS is a parallelogram since opposite sides PQ and SR have the same lengths and slopes.

To determine the correctness of the statements and calculate the lengths and slopes of the given quadrilateral PQRS, let's perform a coordinate proof.

Length and slope of PQ:

The coordinates of points P and Q are P(0, 2) and Q(3, -4), respectively.

Length of PQ: √[(x₂ - x₁)² + (y₂ - y₁)²]

= √[(3 - 0)² + (-4 - 2)²]

= √[9 + 36]

= √45

= 3√5 (approx.)

Slope of PQ: (y₂ - y₁) / (x₂ - x₁)

= (-4 - 2) / (3 - 0)

= -6 / 3

= -2

Therefore, the length of PQ is approximately 3√5, and its slope is -2.

Length and slope of SR:

The coordinates of points S and R are S(-2, 1) and R(1, -5), respectively.

Length of SR: √[(x₂ - x₁)² + (y₂ - y₁)²]

= √[(1 - (-2))² + (-5 - 1)²]

= √[9 + 36]

= √45

= 3√5 (approx.)

Slope of SR: (y₂ - y₁) / (x₂ - x₁)

= (-5 - 1) / (1 - (-2))

= -6 / 3

= -2

Therefore, the length of SR is approximately 3√5, and its slope is -2.

Length and slope of SP:

The coordinates of points S and P are S(-2, 1) and P(0, 2), respectively.

Length of SP: √[(x₂ - x₁)² + (y₂ - y₁)²]

= √[(0 - (-2))² + (2 - 1)²]

= √[4 + 1]

= √5

Slope of SP: (y₂ - y₁) / (x₂ - x₁)

= (2 - 1) / (0 - (-2))

= 1 / 2

Therefore, the length of SP is √5, and its slope is 1/2.

Length and slope of HQ:

The coordinates of points H and Q are H(0, 2) and Q(3, -4), respectively.

Length of HQ: √[(x₂ - x₁)² + (y₂ - y₁)²]

= √[(3 - 0)² + (-4 - 2)²]

= √[9 + 36]

= √45

= 3√5 (approx.)

Slope of HQ: (y₂ - y₁) / (x₂ - x₁)

= (-4 - 2) / (3 - 0)

= -6 / 3

= -2

Therefore, the length of HQ is approximately 3√5, and its slope is -2.

Based on the calculations, we can conclude that both statements are correct:

The quadrilateral PQRS is a parallelogram since opposite sides PQ and SR have the same lengths and slopes.

The quadrilateral PQRS is not a rectangle since the lengths of the adjacent sides PQ and SP are not equal.

Summary:

Length of PQ is approximately 3√5, and its slope is -2.

Length of SR is approximately 3√5, and its slope is -2.

Length of SP is √5, and its slope is 1/2.

Length of HQ is approximately 3√5, and its slope is -2.

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