9+10
A: 21
B: 19
C: 910
D: 91

Answer:

Step-by-step explanation:

The given function is an increasing function that intercepts the x- axis at -6, -2 and 4 and touches at 0.

It has minimum at negative infinity, maximum at positive infinity, local minimums between -2 and 0 and between 0 and 4, local maximum between -6 and -2.

Approximate shape is given in the attached.

Correct choice is the first one, the rest choices are all incorrect.

The name of the rhythm with an atrial rate greater than 250 beats per minute, a non-measurable pr interval, and a ventricular rate of 120 is

The atria, or top chambers of the heart, beat too fast in atrial flutter. As a result, the heart beats quickly yet typically in a regular rhythm.

An example of a heart rhythm disturbance (arrhythmia) brought on by issues with the heart's electrical circuitry is atrial flutter.

Atrial fibrillation, a frequent disease that causes the heart to pulse irregularly, is comparable to atrial flutter.

Atrial flutter patients have a cardiac rhythm that is less erratic and more controlled than atrial fibrillation patients. A person may occasionally have both atrial flutter and atrial fibrillation in the same episode.

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Answer:

10p - 40

Step-by-step explanation:

Hope this answer helps :)

Hey there!

-2.5(4p - 16)

= -2.5(4p) - 2.5(-16)

= -2.5(4p) + 2.5(-16)

= -10p - 40

Therefore, your answer is: -10p - 40

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

Answer:

its B

Step-by-step explanation:

If he deposits $56,000 into an account that pays 2.92% interest compounded daily, it takes for his money to grow to the desired amount will be 21.7 years. Option b is correct.

It is defined as the interest based on the principal amount, it does not include the compounded amount. The interest calculates on the initial amount or borrowed amount.

It is given that,

Principal(P) = $56,000

Rate(R) = 2.92%

Time(T) = x years

Interest(I)=?

The amount to be collected to save the money is,

=$92,400 - $56,000

=$36,400

Interest = $36,400

The formula for the simple interest is,

I=(P×R×T)/100

Substitute the given value as

\(\rm 36400=\frac{\left(56000\times \:2.92T\right)}{100} \\\\ \frac{\left(56000\times \:2.92T\right)}{100}=36400 \\\\ \frac{100\times \:56000\times \:2.92T}{100}=36400\times \:100 \\\\ 163520T=3640000 \\\\ T=\frac{1625}{73} \\\\ T=21.7 \ years\)

Thus, if he deposits $56,000 into an account that pays 2.92% interest compounded daily, it takes for his money to grow to the desired amount will be 21.7 years. Option b is correct.

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Running a 60-watt LED light bulb for 24 hours would consume 1.44 kilowatt-hours (kWh) of electricity, which, depending on the cost of electricity in your area, could range from around $0.10 to $0.30.

To calculate the cost of running a 60-watt LED light bulb for 24 hours, we need to determine the energy consumption in kilowatt-hours (kWh) and multiply it by the cost per kWh in your area.

First, convert the wattage to kilowatts by dividing it by 1000: 60 watts ÷ 1000 = 0.06 kilowatts.

Next, calculate the energy consumption by multiplying the power (0.06 kW) by the time (24 hours): 0.06 kW × 24 hours = 1.44 kWh.

The cost will vary depending on your location and the price of electricity. In the United States, the average residential electricity rate is around $0.13 per kWh. Multiplying the energy consumption (1.44 kWh) by the electricity rate ($0.13) gives us the cost: 1.44 kWh × $0.13/kWh = $0.1872.

Therefore, the cost to run a 60-watt LED light bulb for 24 hours would be around $0.10 to $0.30, depending on the specific electricity rates in your area.

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The domain is; x ≥ 0

The range is; w(x) ≤ 4

The transformed function is given as:

w(x) = -\((3x^{\frac{1}{2} })\)

Rewriting the function, by applying the law of fractional exponents:

w(x) = -(√3)x - 4

The domain of a function is the set of all input values that make the function defined.

The function is undefined when the value of x under the root sign is less than zero because the square root of a negative number is complex.

Hence, the domain exists when x has a value greater than or equal to 0.

Therefore, the domain is; x ≥ 0

The range of a function is the set of all output values that makes the function defined.

Hence, the range exists when y is lesser than or equal to minus 4 because a value of y greater than -4, makes the function and domain undefined.

Therefore, the range is;

w(x) ≤ 4

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Part A.  (x - f)^2 + (y - g)^2 = h^2

Part B.  -9 ≤ y ≤ 7

Part C. The point is not on the circle.

In this triangle, the coordinates of the two endpoints of the hypotenuse are (x,y) and (f,g). Let the length of the hypotenuse be h. Then, we have:

h^2 = (x - f)^2 + (y - g)^2

(x - f)^2 + (y - g)^2 = h^2

The standard equation of a circle, with center at (f,g) and radius h.

Substituting (f,g) = (3,-1) and h = 8 into the equation from Part A, we get:

(x - 3)^2 + (y + 1)^2 = 64

This is the standard equation of a circle with center at (3,-1) and radius 8.

(x - 3)^2 = 64 - (y + 1)^2

x - 3 = ±sqrt(64 - (y + 1)^2)

x = 3 ± sqrt(64 - (y + 1)^2)

The expression inside the square root must be non-negative.

-9 ≤ y ≤ 7

(x - 3)^2 + (y + 1)^2 = 64

Substituting x = 10 and y = -4, we get:

(10 - 3)^2 + (-4 + 1)^2 = 64

49 + 9 = 64

This is not true, so the point (10,-4) is not on the circle.

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Taking into account the definition of a system of linear equations, you little brother has 6 dimes.

A system of linear equations is a set of equations that have more than one unknown, appearing in several of the equations but necessarily in all of them. The equations relate the unknowns to each other.

Solving a system of equations consists of finding the value of each unknown so that all the equations of the system are satisfied. In other words, the values ​​of the unknowns must be sought, with which when replacing, they must give the solution proposed in both equations.

In this case, a system of linear equations must be proposed taking into account that:

You know that:

The system of equations to be solved is

\(\left \{ {{d+n=42} \atop {0.1d + 0.05n=3}} \right.\)

It is decided to solve it using the substitution method, which consists of clearing one of the two variables in one of the equations of the system and substituting its value in the other equation.

In this case, isolating the variable "n" from the first equation:

n= 42 -d

Replacing this expression in the second equation obtained:

0.1d + 0.05×(42 - d)= 3

Solving:

0.1d + 0.05×42 - 0.05d= 3

0.1d + 2.1 - 0.05d= 3

0.15d + 2.1=3

0.15d= 3 -2.1

0.15d= 0.9

d= 0.9÷0.15

d= 6

Finally, you little brother has 6 dimes.

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(a) The 95% confidence interval for proportion of residents in Muscat who consider television news as their major source of news is (0.485, 0.615).

(b) The sample-size of approximately 384 would be necessary to estimate the population proportion with a maximum error of 0.05 at a 95% confidence level.

To construct a confidence-interval for proportion of residents in Muscat who consider television news as their "major-source" of news, we use the  formula;

The Confidence-Interval = Sample Proportion ± Margin of Error

Part (a) : To calculate confidence-interval, we first find the sample proportion (p') and margin-of-error.

The Sample-Proportion (p') = Number of successes / Sample size

p' = 110 / 200 = 0.55,

The Margin-of-Error (ME) = Critical value × Standard Error

The "critical-value" depends on desired confidence-level. For 95% confidence-level, the "critical-value" corresponds to a z-score of 1.96.

The Standard-Error (SE) = √((p' × (1 - p')) / n)

Where n = sample size,

SE = √((0.55 × (1 - 0.55)) / 200) ≈ 0.033

Now we calculate the margin-of-error as :

ME = 1.96 × 0.033 ≈ 0.065,

Now, we construct the confidence interval:

Confidence Interval = 0.55 ± 0.065

Confidence Interval ≈ (0.485, 0.615)

So, the required confidence-interval is (0.485, 0.615).

Part (b) : To determine the sample size required to estimate the population proportion with "maximum-error" of 0.05 at a 95% confidence level, we use the formula:

Sample Size (n) = (Z² × p' × (1 - p'))/E²,

Where Z = critical value corresponding to desired confidence level,

p' = estimated proportion, and E = maximum error,

Using a Z-score of 1.96, and p' = 0.5 and E = 0.05, we calculate the sample size as :

n = (1.96 × 0.5 × (1 - 0.5)) / 0.05²

n ≈ 384.16

Therefore, the required sample-size is 384.

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The required difference of the polynomial functions is -9s^2 + 4s - 2

Given the following difference of polynomial expressed as:

(–6s2 + 12s – 8) – (3s2 + 8s – 6)

We are to find the difference

(–6s2 + 12s – 8) – (3s2 + 8s – 6)

Expand

–6s^2 + 12s – 8 - 3s^2 - 8s + 6

Collect the like terms

–6s^2- 3s^2 + 12s - 8s - 8 + 6

-9s^2 + 4s - 2

Hence the required difference of the polynomial functions is -9s^2 + 4s - 2

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complete question

Find each difference.

(–6s2 + 12s – 8) – (3s2 + 8s – 6) =

–9s2 + 4s – 14

–9s2 + 4s – 2

–9s2 + 20s – 14

–9s2 + 20s – 2

Answer:

See attached

Step-by-step explanation:

Matched the statements and justifications

The directional derivative of f at (1, 2, 3) in the direction of v = ⟨2, -1, 2⟩ is 1/3.

The directional derivative of a function f(x, y, z) at a point (a, b, c) in the direction of a unit vector v = ⟨v₁, v₂, v₃⟩ is given by the dot product of the gradient of f at (a, b, c) and the vector v. That is,

Dᵥf(a, b, c) = ∇f(a, b, c) · v

where ∇f(a, b, c) is the gradient of f at (a, b, c).

Here, f(x, y, z) = x^2 y + y^2 z, so we have:

∂f/∂x = 2xy

∂f/∂y = x^2 + 2yz

∂f/∂z = y^2

Thus, the gradient of f is:

∇f(x, y, z) = ⟨2xy, x^2 + 2yz, y^2⟩

At the point (1, 2, 3), the gradient of f is:

∇f(1, 2, 3) = ⟨4, 13, 4⟩

The unit vector in the direction of v = ⟨2, -1, 2⟩ is:

||v|| = sqrt(2^2 + (-1)^2 + 2^2) = sqrt(9) = 3

So, the unit vector in the direction of v is:

u = v/||v|| = ⟨2/3, -1/3, 2/3⟩

Therefore, the directional derivative of f at (1, 2, 3) in the direction of v is:

Dᵥf(1, 2, 3) = ∇f(1, 2, 3) · u = ⟨4, 13, 4⟩ · ⟨2/3, -1/3, 2/3⟩

= (8/3) - (13/3) + (8/3)

= 1/3

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The type of set that allows you to position rollers diagonally and set from multiple points of origin is an oblong set.

An oblong set is a type of parallel set consisting of two parallel rectangular bars or blocks, with rollers positioned diagonally between them. The oblong shape of the set allows for the rollers to be positioned at a diagonal angle, which can be useful when setting up workpieces that need to be adjusted at an angle or from multiple points of origin.

In contrast, a half oval set and a half circle set are both types of circular sets that consist of rollers positioned in a semi-circular shape. These types of sets are useful for supporting workpieces that have a curved or circular shape, but they do not provide the flexibility to position rollers at a diagonal angle or from multiple points of origin.

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Answer:

(t-4)

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

(A) would be correct.

A^x would yield (0.9^60)^x when plugged in. Since an exponent

on the parenthesis surrounding a number with an exponent already

just gets multiplied to the number's exponent, we'd end up with

      0.9^60*x , which is the same as the given example.

The following data shows the daily production of cell phones. 7, 10, 12, 15, 18, 19, 20. Mean The formula for finding the mean is: mean = (sum of observations) / (number of observations).

Therefore, the mean for the daily production of cell phones is: Mean = (7+10+12+15+18+19+20) / 7

= 101 / 7

Mean = 14.43

Variance The formula for finding the variance is: Variance = (sum of the squares of the deviations) / (number of observations - 1) Where the deviation of each observation from the mean is: deviation = observation - mean First, calculate the deviation for each observation:7 - 14.43

= -7.4310 - 14.43

= -4.4312 - 14.43

= -2.4315 - 14.43

= 0.5718 - 14.43

= 3.5719 - 14.43

= 4.5720 - 14.43

= 5.57

Now, square each of these deviations: 56.25, 19.62, 5.91, 0.33, 12.75, 20.9, 30.96 The sum of these squares of deviations is: 56.25 + 19.62 + 5.91 + 0.33 + 12.75 + 20.9 + 30.96

= 147.72

Therefore, the variance for the daily production of cell phones is: Variance = 147.72 / (7-1) = 24.62 Standard deviation ) Mean = 14.43b) Variance per Day = 24.62c) Standard Deviation = 4.96

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Answer: C is approximately 9.42.

Step-by-step explanation: the radius is 1.5 and the C formula is 2 x pi x r = 2 (3.14)(1.5)

Answer:

B,C,D

Step-by-step explanation:

I just took the question and got them all right

Answer:

B, C, D

Step-by-step explanation:

HOPE THIS HELPS IT'S RIGHT ON ED2020

Answer:

2,016.67 sq. cm

Step-by-step explanation:

Given the approximate ratio of the sides of a rectangle as 3:4:5.

Total ratio = 3+4+5 = 12

Area of the rectangle = 1/2*base *height

get the base;

base = 3/12 * 220

Base =  55cm

Get the height

Height = 4/12 * 220

Height = 880/12

Height = 73.3cm

Area = 1/2 * 55 * 73.3

Area = 2,016.67 sq. cm

Answer:

hi :)

Step-by-step explanation:

hi :)

The algebraic formula that represents the situation of the age difference between Fatimah and Nadia is x + 3 = y, where x, y > 0 and y > x.

Herein we have a situation where two people have different ages, Fatimah has an age such that she is 3 years younger than Nadia. Let be x and y variables that respesent the ages of Fatimah and Nadia, respectively. In summary, the word problem can be reduced into the following algebraic expression:

y - x = 3 (Expression that represents age difference between Fatimah and Nadia)

x + 3 = y, where x, y > 0 and y > x. (1)

The algebraic formula that represents the situation of the age difference between Fatimah and Nadia is x + 3 = y, where x, y > 0 and y > x.

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Simon had read 200 pages and Tess had read 240 pages two weeks ago.

Let's assume that Simon had read x pages two weeks ago. Then, Tess had read 20% more than Simon, which is equal to 1.2x pages.

Now, Simon has not read any pages since then, so he has still read x pages. On the other hand, Tess has read 60 more pages, which means she has read 1.2x + 60 pages.

We also know that Tess has read 60% more than Simon, so we can set up the equation:

1.6x = 1.2x + 60

Solving for x:

0.4x = 60

x = 150

Therefore, Simon had read 150 pages two weeks ago.

To find out how many pages Tess had read two weeks ago, we can use the fact that she had read 20% more than Simon.

20% of 150 pages (Simon's initial reading) is 30 pages.

So, Tess had read 150 + 30 = 180 pages two weeks ago.

Therefore, Simon had read 150 pages and Tess had read 180 pages two weeks ago.
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Answer:

C both line and point symmetry

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Answer: I believe its C.

Step-by-step explanation: Im assuming you dont want the explanation and all.. but like other than that i wish you luck and enjoy your day.

Answer:

k = - 8

Step-by-step explanation:

given that (x - a) is a factor of f(x) , then f(a) = 0

given

(x - 1) is a factor of f(x) then f(1) = 0 , that is

3(1)³ + 5(1) + k = 0

3(1) + 5 + k = 0

3 + 5 + k = 0

8 + k = 0 ( subtract 8 from both sides )

k = - 8

a) The area of the first circle is approximately 254.34 square inches

b) The area of the second circle is approximately 70650 square inches.

a) The area of a circle can be calculated using the formula A = πr², where π (pi) is a mathematical constant approximately equal to 3.14, and r is the radius of the circle.

For the first circle with a diameter of 18 inches, we can find the radius by dividing the diameter by 2:

r = 18/2 = 9 inches

Now we can calculate the area using the formula:

A = πr² = 3.14 x 9² = 254.34 square inches

Therefore, the area of the first circle is approximately 254.34 square inches.

b) For the second circle with a diameter of 25 feet, we need to convert the diameter to inches, since our formula uses radius in inches:

25 feet = 25 x 12 inches = 300 inches

Then we can find the radius by dividing by 2:

r = 300/2 = 150 inches

Now we can calculate the area using the formula:

A = πr² = 3.14 x 150² = 70650 square inches

Therefore, the area of the second circle is approximately 70650 square inches.

Note that the units for the second calculation are in square inches, not square feet, because we used the formula that requires radius in inches.

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120 is 30 percent of 400

Answer:

C)

Step-by-step explanation:

elimination is not substitution.

therefore, A and B are out.

D does not work, because in the described way the x terms don't get different signs, and the addition does not eliminate any variable.

C brings both y terms to the same absolute value, and their signs are different, so the addition will eliminate the y terms leaving us with one equation in x that we can solve :

15x + 12y = 21

8x - 12y = 12

---------------------

23x 0 = 33

23x = 33

x = 33/23

Answer:

a is the right answer for you

After the calculations, we know that the probability of "no blue" is (D) 75/100.

Science uses a figure called the probability of occurrence to quantify how likely an event is to occur.

It is written as a number between 0 and 1, or between 0% and 100%, when represented as a percentage.

The possibility of an event occurring increases as it gets higher.

The study of events that fit into a probability distribution is known as statistics.

So, we must determine the likelihood of drawing two white marbles in order to determine the probability of "no blue."

A white marble is 5/7 likely to be drawn in one draw.

The likelihood of getting two white marbles is therefore:

(5/7) * (5/7) = 25/49

Then, the probability of no blue will be:

25/49 = 25/100 = 25%

Which is 75/100.

Therefore, after the calculations, we know that the probability of "no blue" is (D) 75/100.

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Correct question:

An experiment is conducted with a bag of marbles containing 5 white and 2 blue marbles. The results of marble being drawn twice and replaced 100 times are shown in the table.

Outcome Frequency

White, White 27

White, Blue 22

Blue, Blue 18

Blue, White 33

Find P(no blue).

a. 25 over 100

b. 27 over 100

c 33 over 100

d. 75 over 100

its 21/100

Step-by-step explanation:

i did the test sorry if im too late