10. If f(x)=40(.97)* +78 , find the value of x,
to the nearest ten- thousandth, that solves the
equation f(x)=110.

Answer:

62 is the answer

Step-by-step explanation:

Answer:

A and B

Step-by-step explanation:

The "zeros" of the quadratic equation simply refers to what x equals when q(x) = 0.

Set the equation equal to zero as so: 0 = x^2 - 9, and solve!

9 = x^2

+/- 3 = x, when q(x) = 0.

This means that the two points you are trying to find are (-3, 0) and (3, 0)!

In a time series design, a researcher collects data on a dependent variable (DV) at multiple time points before and after the implementation of a treatment. If the researcher notes that every time sampled individuals are observed on the DV, the average score increases, it may be tempting to attribute this variation to the treatment.

However, caution should be exercised when making such conclusions. While the observed trend in the DV may be associated with the treatment, it's essential to consider alternative explanations, such as maturation, history, or regression to the mean. Maturation refers to the natural developmental processes that occur in participants over time, which might contribute to the observed changes. History refers to external events that could impact the DV, unrelated to the treatment. Regression to the mean occurs when extreme scores naturally become closer to the average over time, which might be mistaken as a treatment effect.

To confidently attribute variation in the DV to the treatment, the researcher should consider using a control group and a comparison group design. This allows for the comparison of changes in the DV between those who received the treatment and those who did not, reducing the likelihood of confounding variables.

In summary, although the increasing average scores in a time series design may suggest a relationship between the treatment and the DV, the researcher should be cautious when attributing this variation solely to the treatment. Other factors and potential confounding variables must be considered before making any definitive conclusions.

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Answer:

$8-$6+$8-$3=$7

hope this helps have a good day or night:)

Step-by-step explanation:

Rs 720

Cost of 1 m of cloth = 450/5= Rs 90

Cost of 8 m of cloth= 90*80= Rs 720

Answer:

The cost is Rs. 720

Step-by-step explanation:

The cost of 1 meter cloth is Rs.90

So 8 x 90 = 720

The percentage price of the item has decreased by 45%.

What is the definition of percentage?

A percentage is a quantity or ratio that is stated as a fraction of 100.

"%" is the symbol for percentage.

For example, if 25 of 100 students in a class received a "A," we may represent this as a percentage by dividing the number of "A" students by the total number of students and multiplying by 100:

(25/100) x 100% = 25%

This signifies that 25% of the students in the class received a "A".

Now,

To obtain the % drop, subtract the difference between the original and new prices, divide by the original price, then multiply by 100 to get the percentage decrease.

The difference between the original and updated prices is equal to

140 - 77 = 63

So the percentage decrease is:

(63/140) x 100% = 45%

Therefore, the price of the item has decreased by 45%.

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Mark earns $500 for each client he acquires in his personal training business.

In Mark's personal training business, he generates income by acquiring clients. For every client he successfully acquires, he earns $500. This indicates that the total amount of money Mark makes is directly proportional to the number of clients he is able to bring in.

Therefore, the more clients Mark acquires, the higher his earnings will be. It is crucial for Mark to focus on attracting and retaining clients in order to maximize his income in the personal training industry. By providing quality services and building strong relationships with his clients, Mark can increase his revenue and achieve success in his business.

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the first is multiply, the second percent

the third is part and the next too

Hello!

The angle of 30º is one of the remarkable angles (the others are 45º and 60º).

These angles are the most used in trigonometry, so it's good to memorize it.

Below, I'll explain to you one way to memorize it as a table:

For the sine and cosine, let's fill these spaces with 1 2 3 on the first line, and 3 2 1 on the second line. Then we're going to divide all of that by 2.

When the numerator is 2 or 3 we will put a square root in it.

For the tangent, it will be a little different:

• Tangent of ,30º ,is √3/3

• Tangent of ,45º ,is 1

• Tangent of ,60º ,is √3

Sin 30º: 1/2 or 0.5

Cos 30º: √3/2

Tan 30º: √3/3

Answer:

234.5678

Step-by-step explanation:

When rounding to the nearest whole number if the first number after the decimal point if it is 5 it stays the same, if it is less than 5 ; 1,2,3,4 you round down, larger than 5; 6,7,8,9 you round up.

Answer:

29

Step-by-step explanation:

if u put 234.56 divided by 8 into a calculator, you get 29.32

Answer:

$ 3051

Step-by-step explanation:

Original cost = $ 1000

Marked up Price = Original cost + 170% of 1000

                            = 1000 + 1.7 * 1000

                            = 1000 + 1700

                            = $ 2700

Sales tax = 13% of 2700

               = 0.13 * 2700

               = 351

Total cost paid by Bernie = 2700 + 351 = $ 3051

Answer:

Slope=-1

Step-by-step explanation:

slope is   ΔY/ΔX

ΔX = 3 – -5 = 8

ΔY = -1 – 7 = -8

The equivalent equation to represents the lateral area for 'r' as radius of the base and 's' as the slant height of the cone are given by  LA/r = s and LA/s = r.

The formula for the lateral area of a right cone is LA = rs,

where r is the radius of the base and s is the slant height of the cone.

To find the equivalent equations,  manipulate the given formula.

Dividing both sides of the equation by r, we get,

LA/r = s

Multiplying both sides of the equation by r, we obtain,

LA = rs

These two equations are equivalent.

The first equation (LA/r = s) expresses the slant height of the cone in terms of the lateral area and the radius,

while the second equation (LA = rs) directly relates the lateral area to the radius and slant height.

Therefore, equivalent equation to represents the lateral area are LA/r = s and LA/s = r.

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The above question is incomplete, the complete question is:

The formula for the lateral area of a right cone is LA = rs, where r is the radius of the base and s is the slant height of the cone. Which are equivalent equations?

Answer: 10 years

Step-by-step explanation:

1720=960(1+0.061/12)

The product of the expression is 2x⁶ + 23x³ + 63

First, we should note that algebraic expressions are described as expressions that are composed of coefficients, terms, constants, variables and factors.

These algebraic expressions are also made up of mathematical operations, such as;

From the information given, we have that;

2x3 +9 and x3 +7?

Then,

(2x³ + 9)(x³ + 7)

expand the bracket

2x⁶ + 14x³ + 9x³ + 63

add like terms

2x⁶ + 23x³ + 63

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Therefore, \(\frac{8}{7}= 1.14\) cannot represent the probability of an event. So, option C is correct.

We need to identify which of the given option cannot represent the probability of an event.

The probability of an event occurring is defined by probability. There are many instances in real life where we may need to make predictions about how something will turn out. The outcome of an event may be known to us or unknown to us. When this happens, we say that there is a chance that the event will happen or not.

By simply dividing the favourable number of possibilities by the entire number of possible outcomes, the probability of an occurrence can be determined using the probability formula. Because the favourable number of outcomes can never exceed the entire number of outcomes, the chance of an event occurring might range from 0 to 1.

Now, \(\frac{1}{14} =0.0714, \frac{8}{7}= 1.14\) and \(\frac{20}{21}=0.952\).

Therefore, \(\frac{8}{7}= 1.14\) cannot represent the probability of an event. So, option C is correct.

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The rewritten expression using a common factor is:

4x + 16 = 4*(x + 16)

Here we want to rewrite the expression:

4x + 16

Ussing a common factor, so let's factorize the terms.

The first one is simple:

4x = 4*x

The second one is also simple, we can write:

16 = 4*4

Then the common factor is 4, and we can rewrite the expression as:

4x + 16 = 4*(x + 16)

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The Laplace transform of the given differential equation yields X(s) = (4/s^2) + (1/(s-3)^2) - (2/(s(s-3))). The final value is 2.

To solve the given differential equation using Laplace transform, we apply the transform to both sides of the equation. The Laplace transform of dx/dt is denoted as sX(s) - x(0), where X(s) is the Laplace transform of x(t) and x(0) is the initial condition.

After applying the Laplace transform, we rearrange the equation to isolate X(s) and find the inverse Laplace transform to obtain the solution x(t). The inverse Laplace transform can be computed using the properties of Laplace transforms and tables of standard Laplace transforms.

In this case, the solution X(s) is found to be (4/s^2) + (1/(s-3)^2) - (2/(s(s-3))). Taking the final value of x(t) as t approaches infinity, we find that it converges to 2.

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Answer:

65 degrees

Step-by-step explanation:

Correspnding angles postulate

Answer:

Screenshot

Step-by-step explanation:

The y-intercept is -5 so the line hits the y-axis at -5. The slope of the line is 1/2 so the line goes up one and to the right two each time.

The standard form of the equation of a circle with centre (a,b) and radius r, is:

From the question, we provided with the following;

Thus, we have:

Hence, the equation of the circle is:

Answer:B.Sample space

Step-by-step explanation:

The equation y = x^2 + 5x - 6 can be factored as y = (x - 1)(x + 6). The x-intercepts of the equation are (1, 0) and (-6, 0).

To convert the equation y = x^2 + 5x - 6 to factored form, we factor the quadratic expression. The factored form is y = (x - 1)(x + 6).

To identify the x-intercepts, we set y = 0 and solve for x. Setting each factor equal to zero gives us x - 1 = 0, which leads to x = 1, and x + 6 = 0, which gives x = -6.

Therefore, the x-intercepts of the equation y = x^2 + 5x - 6 are (1, 0) and (-6, 0).

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The equation of the line that passes through (6,4) and is parallel to the line 3y-x = -12 is y =  (1/3)x + 2

The equation of the parallel to the line is

3y - x = -12

The slope intercept form is

y = mx + b

Where m is the slope of the line

b is the y intercept

Rearrange the equation to find the slope of the line

3y - x = -12

3y = x - 12

y = (x - 12) / 3

y = (1/3)x - 4

The slope of the line is 1/3. The slope of the both line will be equal because both are parallel line

The point  slope form is

\(y-y_1=m(x-x_1)\)

y-4 = (1/3)(x-6)

y-4 = 1/3x - 2

y = (1/3)x - 2 +4

y = (1/3)x + 2

Hence, the equation of the line is y =  (1/3)x + 2

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The amount of time needed for a candidate to have a reasonable chance of winning a House of Representatives seat varies.

The time required for a candidate to have a reasonable chance of winning a seat in the House of Representatives can vary significantly. Several factors come into play, including the district's political dynamics, the strength of the candidate's campaign, fundraising capabilities, name recognition, and voter sentiment.

In some cases, candidates with strong political networks or prior experience may have a head start, while newcomers may need more time to establish their presence and build support. Generally, successful campaigns for House seats require a sustained effort that includes strategic planning, fundraising, grassroots organizing, and connecting with voters. It's challenging to determine an exact timeframe, as every district and candidate situation is unique.

However, a reasonable estimate would be several months to a couple of years of dedicated campaigning to maximize the chances of winning a House of Representatives seat.

Question: What approximately is needed for a candidate to have a reasonable chance of winning a seat in the House of Representatives?

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Answer:

ba-6b

Step-by-step explanation:

you transfer ba to 6b

A group should consist of 13 people in order to ensure that at least two of the group members have birthdays that are in the same month.

Given:

This problem is an example of pigeonhole principle which states that If n+ 1 objects are placed into n boxes, then some box contains at least 2 objects.

Here no. of months in a year are boxes n = 12.

Therefore number of objects( people) = n+1= 13.

Then, at least two people  in the group whose birthdays fall in the same month.

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