how do you break apart the factor 67 using place vaule

Answer:

that's dum

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Answer:

79 and 68

Step-by-step explanation:

Hopefully it will help you

3) Angle plus the angle will be the sum of the line making it 180 degrees.

4) X being the missing variable number to solve the final product of 180 with both angles missing a variable number. With angle 1 being 11x-6 and angle 2 being 4x+21

5) This is the after work when 11x and 4x was combined giving 15x and 21 and -6 combined giving 15 which combines both angles helping to find the sum in which will be 180

6) The after work, after 180 was subtracted with 15 giving it 165

7) The after work, after 165 was divided by 15 giving it 11, with 11 being the missing value of x

The annual gross income of Bernard is $53,200.

According to the statement

we have to find that the gross annual income which is subjected to the tax.

So, For this purpose, we have given information that is:

he has a wife, 4 children and 2 parents.

And the income required for all this is :

For himself = $3000

For wife = $2000

For 4 children = $4000*4 = $16000

For 2 parents = $5000 *2 = $10,000

And then

He paid an income tax of $1474 for the year 2018.

And

the gross tax payable for the first $40,000 is $550 and the tax rate for the rest is 7%.

Then

If tax for first 40,000 is 550 then it is clear that the annual amount is more than the 40,000.

So,

Left amount he pays as tax for more than 40,000 = 1474 - 550

Left amount he pays as tax for more than 40,000 = 924

An from given information:

The amount 924 behaves as the 7% of the income more than 40,000 then

924 = 7 /100 * x

here x is the income for which he pays 7% tax

then

924 = 7 /100 * x

92400 = 7x

x = 92400/7

x = 13,200.

The total gross income become = 40,000 + 13,200

The total gross income become = $53,200.

So, The annual gross income of Bernard is $53,200.

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Question:

Bernard paid an income tax of $1474 for the year 2018. Of his gross annual income, the amount he paid will not be subjected to income tax

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The standard form of the equation for the ellipse subject to the given conditions is: [(x - 4)^2 / 25] + [(y - 1)^2 / 9] = 1.

The standard form of an equation for an ellipse is given by: [(x - h)^2 / a^2] + [(y - k)^2 / b^2] = 1, where (h, k) represents the center of the ellipse, a represents the semi-major axis, and b represents the semi-minor axis. Given the foci (0,1) and (8,1) and the length of the minor axis (6 units), we can determine the center and the lengths of the major and minor axes. Since the foci lie on the same horizontal line (y = 1), the center of the ellipse will also lie on this line. Therefore, the center is (h, k) = (4, 1). The distance between the foci is 8 units, and the length of the minor axis is 6 units.

This means that 2ae = 8, where e is the eccentricity, and 2b = 6. Using the relationship between the semi-major axis, the semi-minor axis, and the eccentricity (c^2 = a^2 - b^2), we can solve for a: a = sqrt(b^2 + c^2) = sqrt(3^2 + 4^2) = 5. Now we have all the necessary information to write the equation in standard form: [(x - 4)^2 / 5^2] + [(y - 1)^2 / 3^2] = 1. Therefore, the standard form of the equation for the ellipse subject to the given conditions is: [(x - 4)^2 / 25] + [(y - 1)^2 / 9] = 1.

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The radius of the middle marble is 12.  To find the radius of the middle marble, we can use the concept of similar triangles and proportions.

Let's denote the radii of the marbles as follows:

r1 = radius of the smallest marble (8)

r2 = radius of the middle marble (unknown)

r3 = radius of the largest marble (18)

Since each marble is in contact with the adjacent marble(s) and with the funnel wall, we can consider the three marbles (smallest, middle, and largest) as forming a triangle within the funnel.

By observing the arrangement of the marbles, we can see that this triangle is similar to a triangle formed by connecting the centers of the marbles.

Now, let's focus on the ratio of the radii of the marbles in the two triangles:

r1 : r2 : r3

We know that r1 = 8 and r3 = 18. To find r2, we can set up the proportion:

r1 / r2 = r2 / r3

Substituting the known values:

8 / r2 = r2 / 18

Cross-multiplying:

(r2)^2 = 8 * 18

Simplifying:

(r2)^2 = 144

Taking the square root of both sides:

r2 = √144

r2 = 12

Therefore, the radius of the middle marble is 12.

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In general, an appropriate null hypothesis is one that states there is no significant difference or relationship between two variables.

Therefore, out of the options given, the appropriate null hypothesis would be "selection was not a significant factor."
An appropriate null hypothesis is "Selection has no effect on the observed outcome. "it means that any differences observed in the data are due to chance, and not due to a specific selection process or factor. The null hypothesis serves as a starting point in statistical analysis, and researchers aim to either accept or reject it based on the evidence collected.

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Answer:

A and D

Step-by-step explanation:

my brain said so

Answer:

a and d

Step-by-step explanation:

:)

4+4=8

5(4)=20

Marta's theory lacks practical significance or real-world applicability.

Marta's theory suggests that filling out a job application in crayon leads to a lower probability of being hired.

However, she mentions that almost nobody fills out an application in crayon.

This means that the finding or theory has no practical significance because it doesn't affect a significant number of people or have a real impact in real-world scenarios.

If the vast majority of job applicants do not use crayon to fill out their applications, Marta's theory becomes inconsequential because it doesn't provide any meaningful insight or guidance for job seekers.

The theory lacks practical significance because it doesn't have any practical implications or relevance in the context of job applications and hiring processes.

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Answer:

1/3 chance

Step-by-step explanation:

2,3, and 5 are prime

1 is NOT a prime number

Answer:

An equivalant faction would be 10/12

Step-by-step explanation:

Answer:

10/12

Step-by-step explanation:

12/6 = 2

5/6 * 2/2 = 10/12

Answer: 10/12

Answer:

y = 3x - 8

Step-by-step explanation:

m = slope

slope = y2 - y1 / x2 - x1

4 - 1 / 4 - 3 = 3/1 = 3

m = 3

b = y-intercept

b = -8

y = mx + b

y = 3x + (-8)

y = 3x - 8

Answer:

Step-by-step explanation:

To find y when x=4, we must first find the relationship between them

The statement

y varies directly with x is written as

where k is the constant of proportionality

From the question

when y = 1/5

x = 3

Substitute the values into the above formula and solve

That's

So the formula for the variation is

From the question

when x = 4

Hope this helps you

The system of equations are solved and the value of x and y are 6/5 and -14/5 respectively

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

Substituting the values in the equation , we get

y = x - 4   be equation (1)

y = 6x - 10   be equation (2)

On simplifying , we get

x - 4 = 6x - 10

Subtracting x on both sides , we get

5x - 10 = -4

Adding 10 on both sides , we get

5x = 10 - 4

5x = 6

Divide by 5 on both sides , we get

x = 6/5

So , the value of y = ( 6/5 ) - 4

y = -14/5

Hence , the value of x and y are 6/5 and -14/5 respectively and the equations is solved

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Answer:

Step-by-step explanation:

The correct answer is b. downward bias. The instrumental variable (IV) estimator in the given regression model has a downward bias. This bias arises due to the correlation patterns between the variables involved: Corr(x,u) > 0, Corr(z,x) > 0, and Corr(z,u) < 0.

These correlation conditions create a situation where the IV estimator underestimates the true coefficient of the independent variable (x), resulting in a downward bias.

In instrumental variable regression, the IV estimator is used to address endogeneity issues when there is a correlation between the independent variable (x) and the error term (u). The instrument (z) is employed to provide a source of variation for x that is unrelated to u.

In the given scenario, the positive correlation between x and u (Corr(x,u) > 0) indicates endogeneity or omitted variable bias. The positive correlation between z and x (Corr(z,x) > 0) suggests that z is a valid instrument for x. However, the negative correlation between z and u (Corr(z,u) < 0) implies that z is not perfectly exogenous and may have some correlation with the error term.

Due to this correlation pattern, the IV estimator is downward biased, meaning it underestimates the true coefficient of x. This bias occurs because the instrument does not fully capture the variation in x that is unrelated to u, leading to an attenuation bias in the estimated coefficient.

Therefore, the correct answer is b. downward bias.

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By using the concept of direct proportion, it can be calculated that

The equation which represents the given relationship is

\(p = \frac{2}{3}m\)

What is direct proportion?

Suppose there are two quantities. Proportionality indicates that if there is a change in the value of one quantity, the value of other quantity also changes but maintaining a constant ratio

Direct proportion

Two quantities are said to be in direct proportion if on increasing the value of one quantity, the value of other quantity also increases and vice versa.

For example cost of a commodity and quantity of a commodity are in direct proportion

The number of pages read, p, varies directly as the number of minutes spent reading, m.

So the equation is

p = km, where k is the constant of proportionality

After 15 minutes, Zoe had read 10 pages.

Putting m = 15 and p = 10

10 = k \(\times\) 15

k = \(\frac{10}{15}\)

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

So the equation which represents the given relationship is

\(p = \frac{2}{3}m\)

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Answer:

( 3x + 1) (2x+5)

Step-by-step explanation:

6 x ^2 + 17 X + 5​

We break the 6 into 3 and 2

(3x    ) (2x   )

We need the middle term to be 17

( 3x + 1) (2x+5)

3*5+2 = 17 so it works

Answer:

72

Step-by-step explanation:

80x.90= 72

Answer:

72 is your answer

Step-by-step explanation:

Answer:

The oil would produce 70,680 barrels in April.

Step-by-step explanation:

There are 30 days in April.

2356 x 30 = 70,680

The compound inequality for the given situation is $2.75x + $4.25y ≥ $65 and $2.75x + $4.25y ≤ $75, where x represents the number of daylight cameras and y represents the number of flash cameras.

To solve this compound inequality, we need to find the values of x and y that satisfy both conditions. The inequality $2.75x + $4.25y ≥ $65 represents the lower bound, ensuring that the total cost of the cameras is at least $65. The inequality $2.75x + $4.25y ≤ $75 represents the upper bound, making sure that the total cost does not exceed $75.

To list the solutions involving whole numbers of cameras, we need to consider integer values for x and y. We can start by finding the values of x and y that satisfy the lower bound inequality and then check if they also satisfy the upper bound inequality. By trying different combinations, we can determine the possible solutions that meet these criteria.

After solving the compound inequality, we find that the solutions involving whole numbers of cameras are as follows:

(x, y) = (10, 10), (11, 8), (12, 6), (13, 4), (14, 2), (15, 0), (16, 0), (17, 0), (18, 0), (19, 0), (20, 0).

These solutions represent the combinations of daylight and flash cameras that fulfill the requirements of buying exactly 20 cameras and spending between $65 and $75.

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The chi-square distribution provides a good approximation to the sampling distribution of the chi-square statistic if the expected frequency in each cell is at least 5.

The chi-square statistic is a measure of how different an observed frequency is from the expected frequency. It is calculated by taking the difference between the observed and expected frequency in each cell, squaring it, and then summing the results. This measure can then be compared to a chi-square distribution with degrees of freedom equal to the number of cells minus one. If the calculated statistic is larger than the expected value from the chi-square distribution, then it can be concluded that the observed frequency differs significantly from the expected frequency.
In order to use the chi-square approximation, it is important that the expected frequency in each cell is at least 5. This is because the chi-square approximation only works well when there are large expected frequencies. When expected frequencies are smaller than 5, the chi-square statistic is not an accurate measure of the difference between the observed and expected frequencies.

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Answer:

x = 7 , y = 7\(\sqrt{2}\)

Step-by-step explanation:

A 45- 45- 90 triangle is an isosceles right triangle with the 2 legs being congruent , that is

x = 7

Using Pythagoras' identity in the right triangle, then

y² = 7² + 7² = 49 + 49 = 98 ( take square root of both sides )

y = \(\sqrt{98}\) = \(\sqrt{49(2)}\) = \(\sqrt{49}\) × \(\sqrt{2}\) = 7\(\sqrt{2}\)

Answer:

Step-by-step explanation:

from the figure we understand that it is an isosceles right triangle, two equal angles and two equal sides, so x has the value 7, we solve with Pythagoras

x = 7

y = √ (7² + 7²)

y = √(49 + 49)

y = √98

y = 9.9

Answer:

The answer is below

Step-by-step explanation:

The question is not complete. A similar question is attached and is solved.

Solution:

A triangle is a polygon with three sides and three angles. Types of triangles are scalene, acute, obtuse, isosceles, equilateral and right angled triangle.

A right angled triangle is a triangle with one angle equal to 90 degrees. The longest side of a right angled triangle is known as the hypotenuse. Trigonometric identities is used to show the relationship between the angles and sides of a right angled triangle, i.e.:

sinθ = opposite/hypotenuse; cosθ = adjacent / hypotenuse; tanθ = opposite / adjacent

From the image:

let the distance from jack to the base of the building be x, hence:

tan60 = x / 60

x = 60 * tan60 = 104 ft.

The magnetic field in tesla at a point midway between the wires is (e) 20 x 10^(-4).

To find the magnetic field at a point midway between two parallel wires carrying currents, we can use Ampere's Law.

Ampere's Law states that the magnetic field around a closed loop is directly proportional to the current passing through the loop. In the case of two parallel wires, the magnetic field at a point between them is the sum of the magnetic fields generated by each wire.

The formula for the magnetic field due to a straight wire is given by:

B = (μ₀ * I) / (2π * r)

Where:

B is the magnetic field,

μ₀ is the permeability of free space (4π × 10^(-7) T*m/A),

I is the current, and

r is the distance from the wire.

For the wire carrying a current of 8.0A, the magnetic field at the midpoint between the wires is:

B₁ = (4π × 10^(-7) * 8.0) / (2π * 0.002)

  = 2 × 10^(-4) T

For the wire carrying a current of 12A, the magnetic field at the midpoint between the wires is:

B₂ = (4π × 10^(-7) * 12) / (2π * 0.002)

  = 3 × 10^(-4) T

To find the total magnetic field at the midpoint, we sum the magnetic fields due to each wire:

B_total = B₁ + B₂

        = 2 × 10^(-4) T + 3 × 10^(-4) T

        = 5 × 10^(-4) T

Therefore, the magnetic field at a point midway between the wires is 5 × 10^(-4) T.

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Answer:

Step-by-step explanation:

In finding the COMMON DIFFERENCE, subtract the 2nd term and the first term.

a1 = -4

a2 = -2

Let "d" representing the COMMON DIFFERENCE.

d = -2 -(-4)

d = -2 + 4

d = 2

ANSWER:

THE COMMON DIFFERENCE OF THIS SEQUENCE IS 2

Answer:

3

Step-by-step explanation:

Givens

Start by looking at the 'distance' (number of spaces) between 1 and 10

a = 1

l = 10

n of terms = 4

L_4 = 10

a = 1

Equation

L_4 = a + (n - 1)*d

10 = 1 + (4 - 1)*d

10 - 1 = 3d

9 = 3d

9/3 = d

d = 3

So the terms you get from 1 to 10

1  4   7 10

Discussion

But we actually started at 1, not -11. Let's fill in the 3 blanks leading up to 1

-11 ____ ____ ____ 1

a = - 11

t = 5

L= 1

1 = - 11 + (5 - 1) d

1 = -11 + 4d                Add 11

1+ 11 = 4d

12 = 4d

12/4 = d

d = 3

======================

Could we have done this more directly. Yes, we could have

a = - 11

t = 8       There are 8 terms in all.

L_8 = 10

L_9 = a + (n-1)d

10 = - 11 + (8-1)d

10+11 = 7d

21 = 7d

21/7 = d

d = 3

According to the division property of equality, if both sides of an equation are divided by a common real integer that is not zero, the quotients remain equal.

Commutative property, associative property, distributive property, and identity property are the four number properties. Only the algebraic operations addition, subtraction, multiplication, and division are linked with number characteristics.

The four key terminology used in the division process are dividend, divisor, quotient and remainder. Dividend Divisor = Quotient + Remainder is the formula for dividing two numbers.

Commutative property, associative property, distributive property, and identity property are the four number properties. Only the algebraic operations addition, subtraction, multiplication, and division are linked with number characteristics.

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60 ounces of herbs costing $1 per ounce should be mixed with these 40 oz of herbs to produce a mixture costing $2. 20 per ounce

Let x be the amount of herb that costs $1.00/oz and y be the total amount of the mixture that costs $2.20/oz.

The total weight of the mixture is:

= y=x+40

The total cost of the mixture is:

4(40) + 1x = 2.20y

160 + x = 2.20 (x + 40) .......Substitute y using the expression from the first equation

160 + x = 2.20x + 88 .........Subtract 160 and x from both sides

1.20x = 72 .........Divide both sides by 1.20

x = 60

The herbalist must mix 60 oz of the herb that costs $1.00/oz to the mixture, therefore we can say that:

60 ounces of herbs costing $1 per ounce should be mixed with these 40 oz of herbs to produce a mixture costing $2. 20 per ounce

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Answer:

22 it always 22

Step-by-step explanation:

Answer:

its obviously 22. 2+2 your supposed to put them next to each other