Multiply binomials by polynomials: area model Your answer should be a polynomial in standard form.2m^3+m^2+ 3m+m+8Area =

Answer:

$6.84

Step-by-step explanation:

This is quite a simple question, simply add the new deposited amount into the original balance to get your answer.

The percentage of the sodas that was served which were regular would be = 18%

The quantity of regular sodas served = 18

The quantity of diet soda served = 82

The total number of soda served = 18+82 = 100

Therefore the percentage of soda that were regular would be;

= 18/100 × 100/1

= 18%

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well, if you had the cash right now, you can put it down cold for 5995.67 bucks

OR

put as a downpayment now 759 and then over 48 months pay 129.95 each month, well, 129.95  48 times is 129.95 * 48 = 6237.6, now let's add the 759 down and that's 6237.6 + 759 = 6996.6.

well, heck if you had the cash it'd be 5995.67, if you don't is 6996.6, their difference is 6996.6 - 5995.67 = 1000.93.

Answer:

The probability is 0.04746

Step-by-step explanation:

Firstly, we calculate the z-score here

Mathematically;

z-score = x-mean/SD/√n

Where from the question;

x = 85, mean = 90 , SD = 15 and n = 25

Plugging these values into the equation, we have;

Z = (85-90)/15/√25 = -5/15/5 = -1.67

So the probability we want to calculate is ;

P(z > -1.67)

We use the standard normal distribution table for this;

P(z > -1.67) = 0.04746

Expression 4 is not a polynomial because it contains a square root, and expression 5 is not a polynomial because it only contains a single variable term (it is a monomial).

A polynomial is a mathematical expression that consists of variables and coefficients, combined using the operations of addition, subtraction, multiplication, and non-negative integer exponents. The variables in a polynomial are typically represented by letters, such as x or y, and the coefficients are constants that multiply the variables.

by the question.

The expressions that are polynomials are:

5x³ + 2x + 10

04 + 3x³ - 2x + 1

x⁴

3x³ + 4x² + 1

-x⁵ + 3x³ - 2x + 1

Polynomials are expressions that consist of variables and coefficients, and only involve addition, subtraction, and multiplication (but not division) of these terms. All of the above expressions fit this definition.

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Answer:

12+26x=64

Step-by-step explanation:

64-12=52

52/2=26

$26 per pass

equation 12+26x=64

x=2 in this case x is representing the number of passes

12 is the ticket

and 64 is total cost

Answer:

761.25 m³

Step-by-step explanation:

l = 15 , w = 14.5 , h = 3.5

Volume of a rectangular prism is given by the formula :

V = lwh

V = 15 × 14.5 × 3.5

V = 761.25

Units will be m³

I am attaching an image for visual understanding

Hope this helped and brainliest please.

The total number of coins is 35

From the question, we have the following parameters that can be used in our computation:

Number of coins in the box = 7

Proportion of coins in the box = 20%

These parameters mean that

Number of coins in the box = Proportion of coins in the box * Total number of coins

Substitute the known values in the above equation, so, we have the following representation

7 = 20% * Total number of coins

Divide both sides by 18%

Total number of coins = 35

Hence, the total number of coins is 35

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Answer:

15.8

Step-by-step explanation:

We are asked to find how many seconds it takes for an object to fall from a height of 4,000ft. We will use the given formula, t=h−−√4. Substituting h=4,000, we find

t=4000−−−−√4=15.8

So, the hammer reaches the river after 15.8 seconds.

Answer:

constant is - 19

Step-by-step explanation:

the constant is the term in an expression with no variable attached to it.

12r + \(\frac{r}{2}\) - 19

the only term without the variable r attached to it is - 19

then the constant term is - 19

The line segment FG represent the volume of water decreases in Katherine's water bottle.

From the given graph, x-axis represents the distance from home (km) and the y-axis represents the volume (L).

The line segment FG represent the volume of water decreases in Katherine's water bottle, the line segment HI represent the volume of water increases in Katherine's water bottle and the line segment KL represents there is no change in water level.

Therefore, the line segment FG represent the volume of water decreases in Katherine's water bottle.

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The nearest tenth, approximately 93.5% of Container A is full after the water is pumped into Container B.

To determine the percentage of Container A that is full after the water is pumped into Container B, we need to compare the volumes of the two containers.

The volume of a cylinder can be calculated using the formula: V = πr^2h, where V is the volume, π is a constant (approximately 3.14159), r is the radius, and h is the height.

For Container A:

Radius (r) = Diameter / 2 = 12 ft / 2 = 6 ft

Height (h) = 14 ft

For Container B:

Radius (r) = Diameter / 2 = 10 ft / 2 = 5 ft

Height (h) = 20 ft

Now, let's calculate the volumes of the two containers:

Volume of Container A = π * (6 ft)^2 * 14 ft ≈ 1,679.65 ft^3

Volume of Container B = π * (5 ft)^2 * 20 ft ≈ 1,570.8 ft^3

To find the percentage of Container A that is full, we need to calculate the ratio of the volume of water in Container B to the volume of Container A:

Ratio = Volume of Container B / Volume of Container A

Ratio = 1,570.8 ft^3 / 1,679.65 ft^3 ≈ 0.9347

Finally, to convert this ratio to a percentage, we multiply it by 100:

Percentage = Ratio * 100

Percentage ≈ 0.9347 * 100 ≈ 93.5%

Therefore, to the nearest tenth, approximately 93.5% of Container A is full after the water is pumped into Container B.

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Answer:true

Step-by-step explanation:because yes

Given

Statements

Find

Which of the following can be used to estimate the instantaneous rate of change at a point on a continuous function.

Explanation

as we know that the slope of the tangent line through a point on the graph of a function gives the function's instantaneous rate of change at that point.

so , option b is correct .

Final Answer

Hence , the slope of the tangent line drawn at the point gives the instantaneous rate of change at a point.

Answer:

1

Step-by-step explanation:

The range is the output values

The only output value is y=1

The range is 1

The answer of the given question based on the graph is , the graph would be scatter plot and the graph is attached below,

A scatter plot is a type of graph that displays the relationship between two numerical variables. The plot consists of a set of points, each representing an observation in the data set, with the x-coordinate corresponding to the value of one variable and the y-coordinate corresponding to the value of the other variable.

To graph this data, we can use a scatter plot. We would plot each data point as a coordinate, with the time values on the x-axis and the fluid oz. values on the y-axis.

Here's an example of how the graph could be set up:

Draw a horizontal x-axis labeled "Time" and a vertical y-axis labeled "Fluid oz." Make sure to include units (e.g. "Time (hrs)" and "Fluid oz. (oz)").

Label the tick marks on the x-axis with the time values provided: 4, 8, 12, 16, 20, and 24.

Label the tick marks on the y-axis with the fluid oz. values provided: 4, 5.5, 7, 9, 12, and 15.

Plot the data points as dots on the graph. For example, the first data point (4, 4) corresponds to a time of 4 hours and a fluid oz. value of 4 oz. Plot this point on the graph by finding the point on the x-axis labeled 4 and the point on the y-axis labeled 4, and then placing a dot at the intersection of those two points.

Repeat step 4 for all the data points, connecting them with straight lines to show the trend of the data.

The resulting graph will show how the fluid oz. value changes over time.

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Answer:

a = 1/4.

Step-by-step explanation:

12 + 2 - (4.a) = 7 + 6

14 - 4a = 13

-4a = -1

a = 1/4.

Answer:

a) 300 ÷ 50 = 6

a) 6

b) 115 + 115 = 230

b) 85 + 85 = 170

b) 230 + 170 = 400

b) 400 x 2 = 800

b) 800

Step-by-step explanation:

4 * x = 12.44

4/4 * x = 12.44 / 4

x = 3.11

Answer:

x = 3.11

Step-by-step explanation:

To find the value of 'x', divide both sides of the equation by 4

12.44 = 4x

\(\dfrac{12.44}{4}=\dfrac{4x}{4}\\\\\\3.11=x\)

Answer:

False.

Step-by-step explanation:

Let's work it out right here.

If the machine cleans 1 pound of shrimp per second than 20 seconds in the machine should clean 20 pounds of shrimp. This means that this statement would have to be false. ^^ Have a wonderful day! And...HAPPY HOLIDAYS! <3 ❄️☃️❄️

With the given rate machine will clean 1 pound of shrimp in 6.67 seconds thus given statement is False.

The ratio is the division of the two numbers.

Proportion is the relation of a variable with another. It could be direct or inverse.

Given that,

The machine at a seafood company 20 seconds to clean 3 pounds of shrimp.

3 pounds of shrimp ⇒ 20 seconds

Divide both sides by 3

3/3 pound of shrimp ⇒ 20/3 seconds

1 pound of shrimp ⇒ 6.67 seconds

Hence "With the given rate machine will clean 1 pound of shrimp in 6.67 seconds".

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Answer:

It would be 5/12

Answer:

x = a is a zero of a polinomial f(x), this is the same than: f(x) has a root at x = a

Then: f(a) = 0.

a) x = a is a ____ of the polynomial equation f(x) = 0.

If we define f(x) = 0, then x = a is a solution of the equation.

Then the complete sentence is:

x = a is a solution of the polynomial equation f(x) = 0.

b) ____ is a factor of the polynomial f(x).

Remember that if a polynomial p(x) of degree n has the roots x₁, x₂, ..., xₙ

Then we can write p(x) in the factorized form as:

p(x) = A*(x - x₁)*(x - x₂)*...*(x - xₙ)

Where A is a real number.

Then if in this case we know that a is a root of f(x), then (x - a) is a factor of the polynomial f(x), then the complete sentence is:

(x - a) is a factor of the polynomial f(x).

c) (a, 0) is a ____ of the graph f(x)

We usually use the notation y = f(x).

Then the points of the form (x, f(x)) are the points that belong to the graph of f(x).

In this case, the point (a, f(a)) = (a, 0)

This point belongs to the graph of f(x), then the complete sentence can be written as:

(a, 0) is a point of the graph f(x).

The cost price of the article, which is sold for Rs. 150 at a gain but if sold for Rs. 135 would have resulted in a loss equal to 50% of the original gain, is Rs. 127.50.

The cost price is the difference between the selling price and the profit or gain.

The difference is determined by subtraction.

Selling price of the article = Rs. 150

Loss if sold at Rs. 135 = 50% of the original gain

Original gain = Rs. 15 (Rs. 150 - Rs. 135)

50% of the original gain = Rs. 7.50 (Rs. 15 x 50%)

Cost price of the article = Rs. 127.50 (Rs. 135 - Rs. 7.50)

Thus, the cost price is Rs. 127.50.

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The correct answer is Confidence interval lower bound: 32.52 cm,Confidence interval upper bound: 37.48 cm

To calculate the confidence interval for the true mean height of the loaves, we can use the t-distribution. Given that the sample size is small (n = 10) and the population standard deviation is unknown, the t-distribution is appropriate for constructing the confidence interval.

The formula for a confidence interval for the population mean (μ) is:

Confidence Interval = sample mean ± (t-critical value) * (sample standard deviation / sqrt(sample size))

For the first situation:

n = 15

Confidence level is 95% (which corresponds to an alpha level of 0.05)

x = 35 (sample mean)

s = 2.7 (sample standard deviation)

Using RStudio or a t-table, we can find the t-critical value. The degrees of freedom for this scenario is (n - 1) = (15 - 1) = 14.

The t-critical value at a 95% confidence level with 14 degrees of freedom is approximately 2.145.

Plugging the values into the formula:

Confidence Interval = 35 ± (2.145) * (2.7 / sqrt(15))

Calculating the confidence interval:

Lower Bound = 35 - (2.145) * (2.7 / sqrt(15)) ≈ 32.52 (rounded to 2 decimal places)

Upper Bound = 35 + (2.145) * (2.7 / sqrt(15)) ≈ 37.48 (rounded to 2 decimal places)

Therefore, the lower bound of the confidence interval is approximately 32.52 cm, and the upper bound is approximately 37.48 cm.

For the second situation:

n = 37

Confidence level is 99% (which corresponds to an alpha level of 0.01)

x = 82 (sample mean)

s = 5.9 (sample standard deviation)

The degrees of freedom for this scenario is (n - 1) = (37 - 1) = 36.

The t-critical value at a 99% confidence level with 36 degrees of freedom is approximately 2.711.

Plugging the values into the formula:

Confidence Interval = 82 ± (2.711) * (5.9 / sqrt(37))

Calculating the confidence interval:

Lower Bound = 82 - (2.711) * (5.9 / sqrt(37)) ≈ 78.20 (rounded to 2 decimal places)

Upper Bound = 82 + (2.711) * (5.9 / sqrt(37)) ≈ 85.80 (rounded to 2 decimal places)

Therefore, the lower bound of the confidence interval is approximately 78.20 cm, and the upper bound is approximately 85.80 cm.

For the third situation:

n = 1009

Confidence level is 90% (which corresponds to an alpha level of 0.10)

x = 0.9 (sample mean)

s = 0.04 (sample standard deviation)

The degrees of freedom for this scenario is (n - 1) = (1009 - 1) = 1008.

The t-critical value at a 90% confidence level with 1008 degrees of freedom is approximately 1.645.

Plugging the values into the formula:

Confidence Interval = 0.9 ± (1.645) * (0.04 / sqrt(1009))

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Answer:

15 miles

Step-by-step explanation:

Answer:

meter - yard

kilogram - 2 pounds

liter - quart

The ship is 88.8 miles far from the port at 4 pm.

Given,

The displacement from 1 to 3 in the afternoon.

D1 = 30 miles/hr × 2 hr

     = 60 miles to the north

The displacement from 3 till 4 in the afternoon.The ship changes its course 20 degrees eastward at 3 o'clock.

Therefore, D2 = 30 miles/hr × 1 hr

                       = 30 miles to the 20° north eastward

By combining two vectors, the resulting displacement:

D = √((D1 ₊ D2 × cos(20°))² ₊ (D2 × sin(20°))²

D = √((60 ₊ 30 × cos (20°))² ₊ (30 × sin(20°))²

D = 88.8 miles

Hence the ship is 88.8 miles far away from the port at 4 pm.

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