What is the product of 4x - 1 and 3x + 5?

Answer:

if you are doing edg its 6 but if you are not its (6,0)

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

The ratio of red to green to blue to yellow marbles is, 3 : 5 : 2 : 6

A ratio in mathematics is a comparison of two or more numbers that shows how big one is in comparison to the other. The dividend or number being divided is referred to as the antecedent, while the divisor or number that is dividing is referred to as the consequent.

Give that,

A jar contains,

three red, five green, two blue, and six yellow marbles

the ratio of red to green to blue to yellow marbles = ?

The ratio can be written as,

⇒ 3 : 5 : 2 : 6

Hence, the ratio of balls is 3 : 5 : 2 : 6

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Answer:

B

Step-by-step explanation:

You have given angle x and the hypotenuse you are asked to find the adjacent side of the triangle so you would be using

Cosθ = Adjacent/hypotenuse.

cos49 = adjacent/4

1.32 = adjacent/4

2.62 = adjacent

VX = 2.6

Remember!

SOH

Sinθ = opposite/hypotenuse

CAH

Cosθ = adjacent/hypotenuse

TOA

Tanθ = opposite/adjacent

Answer:

y=7%283%29%2B10

y=21%2B10

y=31

(3,31)

Step-by-step explanation:

Answer:

the answer is A

Step-by-step explanation:

The diameter of a circle is determined by the length of an arc of a circle with a central angle of 100 degrees and a length of 55 cm. To simplify the equation, r = [55/(100/360)] cm and D = 2r = 2  198 cm = 396 cm. Therefore, the diameter of the circle is 396 cm.

Let the radius of the circle be "r". To find: The diameter of the circle We know that the length of an arc of a circle of radius "r" with a central angle θ (in degrees) is given by :L = (θ/360) × 2πr Given, an arc of a circle has a measure of 100 degrees and a length of 55π cm. Thus, L = 55π cm, θ = 100°We need to find "r". Let us substitute the given values in the above formula: L = (θ/360) × 2πr55π = (100/360) × 2πr Simplifying the above equation, we get :r = [55/(100/360)] cm r = 198 cm Now, the diameter of the circle is given by: D = 2r= 2 × 198 cm= 396 cm Therefore, the diameter of the circle is 396 cm.

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The set satisfies all three requirements, we can conclude that all polynomials of the form p(t) = a t^2, where a is in r, is a subspace of p2. To determine if all polynomials of the form p(t) = a t^2, where a is in r, is a subspace of p2,.

We need to check if it satisfies the three requirements of a subspace:

1. The zero vector is in the set.
2. The set is closed under addition.
3. The set is closed under scalar multiplication.

First, let's check if the zero vector is in the set. The zero vector of p2 is the polynomial 0t^2 + 0t + 0, which can be written as p(t) = 0. To see if p(t) = 0 is in the set of polynomials of the form p(t) = a t^2, we need to check if there exists an "a" that satisfies p(t) = a t^2 = 0 for all values of t. This is true only if a = 0, so the zero vector is in the set.

Next, let's check if the set is closed under addition. Suppose we have two polynomials p(t) = a t^2 and q(t) = b t^2, where a and b are in r. Then, their sum is p(t) + q(t) = a t^2 + b t^2 = (a+b) t^2. This is also of the form p(t) = a t^2, where a = a+b, so it is in the set. Therefore, the set is closed under addition.

Finally, let's check if the set is closed under scalar multiplication. Suppose we have a polynomial p(t) = a t^2, where a is in r, and a scalar k. Then, k * p(t) = k * a t^2 = (ka) t^2. This is also of the form p(t) = a t^2, where a = ka, so it is in the set. Therefore, the set is closed under scalar multiplication.

Since the set satisfies all three requirements, we can conclude that all polynomials of the form p(t) = a t^2, where a is in r, is a subspace of p2.

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Answer:

25 minutes

Step-by-step explanation:

1950/78=25

Answer:

25 minutes

Step-by-step explanation:

Just divide 1,950 by 78.

Answer:

80 degrees

Step-by-step explanation:

80 degrees because part of it is on zero and the other part is on 80 so 80-0=80 degrees,

Answer:

1/6 of the bread

Step-by-step explanation:

Given data

Let the amount of the loaf of bread be 1

But they are expected to share half

hence the amount to be shared is= 1/2 bread

The number of children is 3

Hence

=1/2/3

=1/2*1/3

=1/6 bread

Hence each child will get 1/6 of the bread

In general, there are five kinds of task analyses:

Task analysis is the process of learning about ordinary users by observing them in action to understand in detail how they perform their tasks and achieve their intended goals. Tasks analysis helps identify the tasks that your website and applications must support and can also help you refine or re-define your site’s navigation or search by determining the appropriate content scope.

In their book User and Task Analysis for Interface Design, JoAnn Hackos and Janice Redish note that performing a task analysis helps you understand:

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Answer:

=The opposite angles of a parallelogram are equal

=(3x+4)

=(5x-2)

=-2x=-6

=x=6+2

=x=3=

1st angle=3x+4=13

3rd angle=5x-2=13

=sum of adjacent side of angle is 180°

=Let the adjacent (2nd angle ) be y=

y+13°=180°

=y=180°-13°

=y=167°=

2nd angle=4th angle

=2nd angle=167° 

=4th angle=167°

Step-by-step explanation:

This might be confusing, but I hope it helps <3

The baseball field's fence, soil and sod requirements will be-: Length of fencing ≈ 1410.5 feet, Area of the sod ≈ 118017.13 ft², Area of of the field covered with dirt ≈ 7,049.6 ft²

To find the area of a sector of a circle:

The amount of fencing, dirt, and sod can be found using the formula for finding the circumference of a circle and the area of a circle as follows;

Circle's Area can be given by, (A)= π × r²

Circle's Circumference can be given by, (C) = 2 × π × r

Where, 'r' denotes the radius of the circle

The area of a quarter of a circle is therefore= A ÷ 4

The perimeter of a quarter of a circle = C ÷ 4

Taking reference from the image,

Fencing; (1/4) × 2 × π × 380 + 2 × 15 + 2 × 380 + (1/4) × 2 × π × 15

Fencing = 190·π + 790 + 7.5·π = 197.5·π + 790 ≈ 1410.5

The fencing ≈ 1410.5 feet

Grass; π/4 × (380 - 6)² + 87² - π/4 × (87 + 30)² + 2 × 380 × 15 + π/4 × 15² - (3/4) × π × 10² - 25·π = 31528·π + 18969 ≈ 118017.13

The area covered by the sod is about 118017.13 square feet

Dirt; π/4 × 380² - π/4 × (380 - 6)² + π/4 × (87 + 30)²- 87² + π·100 = (18613·π - 30276)/4 ≈ 7049.6

The area occupied by the dirt is about 7049.6 square feet

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Complete Question:Find the amount of fencing, dirt, and sod needed to rebuild the baseball field?(refer to image attached for dimensions of field)

Answer:

-148i²+296i

Step-by-step explanation:

(4-2i)(73i)

first you multiply 4 and 74i

4x74=296

then we multiply -2iand73i

-2ix73i=148i²

Answer:

You'll times 4 by 73i and get 292i then times -2i by 73i and get -146i^2 after that you'll right 292i-146i^2.

Step-by-step explanation:

the probability that at least flights are on time is

P(7) + P(8) + P(9) + P(10)

To calculate the probability that at least a certain number of flights are on time using the binomial distribution, we need the probability of success (p), the number of trials (n), and the desired number of successful trials.

Let's assume we have the following information:

Probability of a flight being on time: p = 0.8 (80%)

Number of flights: n = 10

To find the probability that at least a certain number of flights are on time, we need to sum the probabilities of the desired number of successful trials and all higher numbers of successful trials.

Let's say we want to find the probability of at least 7 flights being on time.

P(at least 7 flights on time) = P(7) + P(8) + P(9) + P(10)

Using the binomial probability formula: P(x) = C(n, x) * p^x * (1-p)^(n-x)

where C(n, x) represents the number of combinations of n items taken x at a time.

Calculating the probabilities: P(7) = C(10, 7) * (0.8)^7 * (0.2)^(10-7) P(8) = C(10, 8) * (0.8)^8 * (0.2)^(10-8) P(9) = C(10, 9) * (0.8)^9 * (0.2)^(10-9) P(10) = C(10, 10) * (0.8)^10 * (0.2)^(10-10)

Finally, we sum up these probabilities to get the probability of at least 7 flights being on time.

P(at least 7 flights on time) = P(7) + P(8) + P(9) + P(10)

Performing the calculations will give us the specific probabilities and the final probability.

Complete Question :- According to an​ airline, flights on a certain route are on time 75​% of the time. Suppose 24 flights are randomly selected and the number of​ on-time flights is recorded.

​(a) Explain why this is a binomial experiment.

​(b) Find and interpret the probability that exactly 14 flights are on time.

​(c) Find and interpret the probability that fewer than 14 flights are on time.

​(d) Find and interpret the probability that at least 14 flights are on time.

​(e) Find and interpret the probability that between 12 and 14 flights, inclusive, are on time.

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The value of the average of all three numbers is,

⇒ 7

We have to given that,

The average of two numbers is 6.

And, A third number of 9 is now included.

Let us assume that,

Tow numbers are x and y.

Hence, We get;

(x + y) / 2 = 6

x + y = 12

Now, A third number of 9 is now included.

Then, the average of all three numbers are,

= (x + y + 9) / 3

= (12 + 9)/ 3

= 21 / 3

= 7

Thus, The value of the average of all three numbers is,

⇒ 7

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Answer:

550 pounds of lettuce and cheese combined.

Step-by-step explanation:

ok so

1/10 of 5,000

and

1/100 of 5,000

(1/10)5,000

it is 500 pounds of cheese

now for 1/100

(1/100)5000

it is 50 pounds of lettuce

500+50=550

Hope this helps.

Assuming Alice has 2 apples, there are 19 ways to split the rest of the apples with Becky and Chris.

The total number of ways to split 24 apples between the three friends is equal to 19 + 18 + 17 + 16 + 15 + ...……+ 2 + 1 = 20 x ( 19 / 2 ) = 190

Alice can share them with Becky and Chris in a variety of ways, as long as each person has at least 2 apples. For example, Alice could give Becky 8 apples and Chris 16 apples, or she could give Becky 10 apples and Chris 14 apples. As long as each person has at least 2 apples, there are many ways for Alice to share her apples.To split the apples, we employ the Ball-and-urn method, also referred to as "Sticks and Stones" or "Stars and Bars."

Hence there are 19 different ways she can share them with becky and chris so that each of the people has at least 2 apples.

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Answer:

Degree: 2

Polynomial type: Quadratic

Step-by-step explanation:

One is asked to identify the degree and type of polynomial when given the following expression:

\(-10k^2+7\)

The degree of a polynomial refers to the exponent to which it is raised. In essence, the largest exponent in the expression. In this case, the largest exponent in this polynomial is (2). An expression to the second degree is referred to as a quadratic expression.

(a) The 80% confidence interval for the average length of stay is [2.567, 3.833]. We are 80% confident that the true average falls within this range. (b) The 99% confidence interval is [1.860, 4.540]. We are 99% confident that the true average falls within this range. (c) To estimate the average within 0.2 with 90% confidence, a sample size of approximately 32 patients is needed.

(a) To calculate the 80% confidence interval, we use the formula

Confidence Interval = Sample Mean ± Margin of Error

The margin of error can be found using the formula:

Margin of Error = Critical Value * (Standard Deviation / sqrt(sample size))

For an 80% confidence level, the critical value (obtained from the t-distribution with 26 degrees of freedom) is approximately 1.318.

Plugging in the values

Margin of Error = 1.318 * (1.6 / √(27)) ≈ 0.633

So the 80% confidence interval is

3.2 ± 0.633 = [2.567, 3.833]

(b) For the 99% confidence interval, we use the same formula but with a different critical value. For a 99% confidence level, the critical value (from the t-distribution with 26 degrees of freedom) is approximately 2.787.

Margin of Error = 2.787 * (1.6 / √(27)) ≈ 1.340

Therefore, the 99% confidence interval is

3.2 ± 1.340 = [1.860, 4.540]

(c) To determine the required sample size to estimate the true average length of stay within 0.2 days with 90% confidence, we use the formula:

n = (Z * σ / E)²

Where Z is the critical value (1.645 for a 90% confidence level), σ is the standard deviation (1.6 days), and E is the desired margin of error (0.2 days).

Plugging in the values

n = (1.645 * 1.6 / 0.2)² ≈ 31.985

Therefore, we need a sample size of approximately 32 patients.

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To find the arc length for the curve y = 3x² − (1/24) ln x with the starting point p0(1, 3), we need to integrate the expression √(1 + (dy/dx)²) with respect to x over the desired interval. The resulting value will give us the arc length of the curve.

To find the arc length, we need to integrate the expression √(1 + (dy/dx)²) with respect to x over the given interval. In this case, the given function is y = 3x²− (1/24) ln x. To compute the derivative dy/dx, we differentiate each term separately. The derivative of 3x² is 6x, and the derivative of (1/24) ln x is (1/24x). Squaring the derivative, we get (6x)² + (1/24x)².

Next, we substitute this expression into the arc length formula:

∫√(1 + (dy/dx)²) dx. Plugging in the squared derivative expression, we have ∫√(1 + (6x)² + (1/24x)²) dx. To evaluate this integral, we need to employ appropriate integration techniques, such as trigonometric substitutions or partial fractions.

By integrating the expression, we obtain the arc length of the curve between the starting point p0(1, 3) and the desired interval. The resulting value represents the distance along the curve between these two points, giving us the arc length for the given curve.

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The estimated kilowatt usage when the temperature is 90° outside is 1132.5.

Here we have to find the point estimate kilowatt usage when the temperature is 90° outside.

We have to find the linear regression model:

Creating the table with the following:

∑y; ∑x; ∑xy; ∑x²; ∑y²

Now use these equations to find coefficients a and b:

a = (∑y) (∑x²) - (∑x) ( ∑yx) / n(∑x²) -(∑x²)

b = n( ∑xy) - (∑x ) (∑y) / n( ∑x²) -(∑x²)

Now substitute this in the equation:

y = a + bx

The linear regression equation is:

y = -2004 + 34.85x

Here it is asked for the temperature at 90°

So we take x = 90°

y = -2004 + 34.85× 90

y = 1132.5

Therefore the estimated kilowatt is 1132.5.

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The complete question is:

The city of Oakdale wishes to see if there is a linear relationship between the temperature and the amount of electricity used (in kilowatts). Using the estimated regression equation found by using Temperature as the predictor variable, find a point estimate Kilowatt usage when the Temperature is 90 degrees outside.

Temperature(x)                       Kilowatts(y)

       73                                         680

       78                                         760

       85                                         910

       98                                         1510

       93                                         1170

       83                                         888

       92                                         923

       81                                          837

       76                                         600

     105                                        1800

To calculate the gain on the sale of the office furniture, we need to determine the asset's book value and compare it to the sale price.

First, let's calculate the accumulated depreciation on the furniture. The furniture was purchased on January 1, 2014, and the straight-line depreciation method is used over 10 years with a salvage value of $80,200.

Depreciation per year = (Cost - Salvage Value) / Useful Life

Depreciation per year = ($746,800 - $80,200) / 10 years

Depreciation per year = $66,160

Next, we need to calculate the accumulated depreciation for the period from January 1, 2014, to May 1, 2021 (the date of the sale). This is approximately 7.33 years.

Accumulated Depreciation = Depreciation per year × Years

Accumulated Depreciation = $66,160 × 7.33 years

Accumulated Depreciation = $484,444.80

Now, we can calculate the book value of the furniture:

Book Value = Cost - Accumulated Depreciation

Book Value = $746,800 - $484,444.80

Book Value = $262,355.20

Finally, we can calculate the gain on the sale:

Gain on Sale = Sale Price - Book Value

Gain on Sale = $300,000 - $262,355.20

Gain on Sale = $37,644.80

Therefore, the gain that should be recognized on the sale of the office furniture is approximately $37,644.80.

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The gain that should be recognized on the sale of the office furniture is $84,080.

The gain is calculated by subtracting the equipment's book value from the sale price. This gain will be reported on the company's income statement. Here is how to calculate the gain:First, find the equipment's book value using the straight-line method of depreciation.

Straight-line depreciation is calculated by taking the difference between the equipment's original cost and its salvage value, and then dividing it by the number of years the equipment is used. The annual depreciation expense is then multiplied by the number of years the equipment is used to find the equipment's book value at the end of its useful life.

For this question, the book value of the equipment at the time of sale is:Cost of equipment: $746,800Salvage value: $80,200Depreciable cost: $746,800 - $80,200 = $666,600Annual depreciation: $666,600 ÷ 10 years = $66,660Book value at the end of 2020: $666,600 - ($66,660 x 7) = $156,420

Next, subtract the equipment's book value from the sale price to find the gain:Sale price: $300,000Book value: $156,420Gain: $143,580Finally, round the gain to the nearest dollar:$143,580 ≈ $143,580.00So the gain that should be recognized on the sale of the office furniture is $84,080.

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The journal entry to record a cash payment of $400 for insurance on administrative office equipment debits Prepaid Insurance and credits cash.

Journal entry:DateAccounts DebitCreditXPrepaid Insurance 400Cash400What is Prepaid Insurance?Prepaid insurance is insurance for which the premium has been paid but has not yet been used. It is a type of asset account that appears on the balance sheet. Prepaid insurance accounts are commonly used by insurance companies to track their prepayments to policyholders, but they are also used by businesses and individuals.In summary, prepaid insurance is the amount that an individual or business pays in advance for an insurance policy, which is then credited to the insurance company. Prepaid insurance is accounted for by creating a prepaid insurance account, which is classified as an asset on the balance sheet of a company or individual.

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A. To eliminate all risks

B. To identify which risks you face most

C. To protect ...

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The measure of ∠Z1 is 135°. We used parallel lines and transversals to find the answer by recognizing that corresponding angles are equal and that adjacent angles on a straight line sum up to 180°.

In order to find the measure of ∠Z1, we will use the fact that line p is parallel to line q and the properties of parallel lines and transversals. Here's the step-by-step explanation:

1. Extend both lines between the parallel lines p and q, as suggested in the clue. This creates a transversal line intersecting both parallel lines.
2. Identify the given angles: 45° and 30°.
3. Since line p is parallel to line q, the corresponding angles are equal. So, the angle on line q that corresponds to the 45° angle on line p will also be 45°.
4. Now, ∠Z1 and the 45° angle on line q are adjacent angles and together they form a straight angle (180°) because they are on the same side of the transversal and between the parallel lines p and q.
5. To find the measure of ∠Z1, use the straight angle property: ∠Z1 + 45° = 180°.

Solving for ∠Z1, we get:
∠Z1 = 180° - 45° = 135°.

Therefore, the measure of ∠Z1 is 135°. We used parallel lines and transversals to find the answer by recognizing that corresponding angles are equal and that adjacent angles on a straight line sum up to 180°.

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Answer:

Some numbers cannot be written as a ratio of two integers

Step-by-step explanation:

Answer:

An irrational number is a number that can not be written as a simple fraction or be expressed as the quotient of two integers.

Integer : (A whole number that is not a fraction).

Step-by-step explanation:

Answer:

Step-by-step explanation:

a. \(\left(5\times \:10^3\right)\left(9\times \:10^7\right)\)

\(5\times 10^3 = 5000\\\\5000\times \:9\times \:10^7\)

\(\mathrm{Multiply\:the\:numbers:}\:5000\times \:9=45000\)

\(=45000\times \:10^7\)

b. \(\left(7\times 10^5\right)\div \left(2\times 10^2\right)\)

\(\left(7\times 10^5\right)\div \left(2\times 10^2\right)=\frac{7\times \:10^5}{2\times \:10^2}\)

\(\frac{10^5}{10^2} = 10^3\)

\(\frac{7\times \:10^3}{2}\)

\(\mathrm{Factor}\:\: 10^3 : 2^3\times5^3\)

\(\frac{7\times \:2^3\times \:5^3}{2}\)

\(\frac{2^3}{2}=2^2\)

\(7\times \:2^2\times \:5^3=3500\)

The operationalization of the used constructs of the model is not typically considered a part of the theoretical aspects of a model. The correct option is (B).

Operationalization refers to the process of defining and measuring the variables or constructs in a study. It involves turning abstract concepts into observable and measurable variables.

On the other hand, the theoretical parts of a model typically include:

A. The hypotheses corresponding to the model: This refers to the specific statements or predictions derived from the theoretical framework of the model.

Hypotheses provide testable expectations about the relationships between variables in the model.

C. A logical explanation of the relationship within a model: This involves providing a theoretical rationale or logical explanation for the expected relationships between variables in the model.

It is the theoretical framework that underlies the model and helps in understanding the underlying mechanisms or processes.

D. A graphical representation of the model: Graphical representation, such as diagrams or visual models, can be used to depict the structure or relationships within a model. It helps in visualizing the connections between variables and understanding the overall framework.

Therefore, B. The operationalization of the used constructs of the model does not belong to the theoretical parts of a model.

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Vectors, a = (-3, -2, 10) and b = (-7, 5, -2).(A) Scalar Projection:The scalar projection of b onto a is given as follows Where |b| is the magnitude of b, θ is the angle between the vectors a and b.

Based on the above formula, the magnitude of vector b, |b| can be calculated as:

|b| = √((-7)² + 5² + (-2)²) = √74

The angle between the vectors a and b, θ can be calculated as:cos(θ) = a.b/|a||b|where, Now,cos(θ) = 41/(√113 × √74) = 0.684The scalar projection of b onto a can be calculated by multiplying |b| by cos(θ).Hence,Scalar projection = S = |b| cos(θ) = √74 × 0.684 ≈ 6.47 (rounded off to two decimal places)(B) Component decomposition:

Let the parallel component of b be represented as bₐ and the orthogonal component of b be represented as b⊥.Thus Therefore,Parallel component Orthogonal Component

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