Find the value of x so that f(x) = 7.

ANSWER

EXPLANATION

To find the combined inventory for the two stores, we have to add the polynomials that represent the inventory in each store.

That is:

Collect like terms and simplify:

The answer is option B.

Answer:

390 minutes I do believe.

Step-by-step explanation:

The Original price of the bracelet, before tax, is $12.

Let's assume that the original price of the bracelet is x dollars.

The sales tax is 6%, which means that the tax paid is 6/100 * x = 0.06x dollars.

We know that Casey paid $0.72 in sales tax, so we can set up the equation:

0.06x = 0.72

Solving for x, we get:

x = 0.72/0.06

x = 12

Therefore, the original price of the bracelet, before tax, is $12.

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Answer:

Y = -6.1

X = .071

Step-by-step explanation:

If you're just factorizing, you can do so by grouping.

cot³(x) + cot²(x) + cot(x) + 1

= cot²(x) (cot(x) + 1) + cot(x) + 1

= (cot²(x) + 1) (cot(x) + 1)

Put another way, if y = cot(x) + 1, then

cot²(x) y + y = (cot²(x) + 1) y

We can simplify this somewhat. Recall the Pythagorean identity,

sin²(x) + cos²(x) = 1

Dividing through both sides of the equation by sin²(x) reveals another form of the identity,

sin²(x)/sin²(x) + cos²(x)/sin²(x) = 1/sin²(x)

1 + cot²(x) = csc²(x)

Then we end up with

cot³(x) + cot²(x) + cot(x) + 1 = csc²(x) (cot(x) + 1)

Given:\(cot^{3} x+cot^{2} x+cotx+1\)

Factor:

\(cot {}^{2} (x)(cot(x) + 1) + 1(cot(x) + 1\)

\((cot {}^{2} (x) + 1)(cot(x) + 1)\)

Substitute \( \cot {}^{2} (x) + 1 = csc {}^{2} (x):csc {}^{2} (x)(cot(x) + 1)\)

Answer:

Step-by-step explanation:                

\(\displaystyle\Large\boldsymbol{} x^4+2x^3-2x^2+2x-3= \\\\\\x^4+2x^2(x-1)+2x-\underbrace{2-1}_{-3}= \\\\\\x^4-1+2x^2(x-1)+2x-2 = \\\\\\(x^2-1)(x^2+1)+2x^2(x-1)+2(x-1) = \\\\\\\underline{(x-1)}(x+1)(x^2+1)+2x^2\underline{(x-1)} +2\underline{(x-1)} =\\\\\\(x-1)((x+1)(x^2+1)+2x^2+2)=\\\\\\(x-1)(x^3+x^2+2x^2+x+2+1)=\\\\\\(x-1)(x^3+3x^2+x+3) =\\\\\\(x-1)( \underline{(x+3)}x^2+\underline{(x+3)})=(x^2+1)\underbrace{(x-1)(x+3)}_{x^2+2x-3}= \\\\\\(x^2+1)(x^2+2x-3) : (x^2+2x-3)=x^2+1\)

The inequality that matches the graph is given as follows:

E. n ≥ 1.

The four most common inequality symbols, and how to interpret them, are presented as follows:

The graph in this problem is composed by the values to the right of n = 1, with a closed interval, hence the inequality is given as follows:

n ≥ 1.

The graph is presented at the end of the answer.

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Answer:

vgh

Step-by-step explanation:

D

The slope of a plot of ln k versus 1/t equal to: −E_a/R

The Arrhenius equation is one that describes the relation between the rate of reaction and temperature for many physical and chemical reactions.

Arrhenius equation is expressed as:

k = \(Ae^{-E_{a}/RT }\)

Taking natural log on both sides,

ln k = ln \(Ae^{-E_{a}/RT }\)

In k = In A - E_a/RT

In k = In A - (E_a/R * (1/T))

This equation is in the form of y = mx + c

The plot of ln k vs 1/T gives a straight line with negative slope.

Slope = −E_a/R

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The angle that is supplementary to ∠7 is ∠5 and ∠8

What is supplementary angle ?

Two angles are said to be supplementary if their sums total 180 degrees. A linear pair's two angles, like angles 1 and 2 in the illustration below, are always supplementary. But two angles don't have to be close to one another to be supplementary. Since their measures sum up to 180 degrees, the numbers 3 and 4 in the following figure are supplementary.

Two Angles are Supplementary when they add up to 180 degrees.

From given figure,

It is observed that sum of ∠7 and ∠8 is equal to 180 degrees.

The sum of ∠7 and ∠5 is equals to 180 degrees.

∴ ∠7 + ∠8 =180

and ∠7 + ∠5 = 180

Thus , the supplementary angles of ∠ 7 are ∠ 5 and ∠ 8.

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Based on the expanded the expression (2 - 3x)², the student who got the answer 4 – 12 x + 9x² is the first student.

In Mathematics, a quadratic function can be defined as a mathematical expression which defines and represent the relationship that exists between two (2) or more variable on a graph, with a maximum exponent of two (2).

In Mathematics, the standard form of a quadratic function is given by ax² + bx + c = 0.

By applying the following binomial expression to the given quadratic function, we have:

(a - b)² = a² - 2ab + b²

(2 - 3x)² = 4 - 2(2)(3x) + 3x²

4 - 2(2)(3x) + 3x² = 4 - 12x + 9x².

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Collect data on a representative selection of patients for two weeks.

is the best data collection plan for this project.

According to the statement

we have a given that the surgical unit that receives 87 new patients per week.

and we have to tell the data plan to collect the baseline data before testing your change to control the pain across the unit.

And We know that the Data collection is A representative sample is one technique that can be used for obtaining insights and observations about a targeted population group

So,

Collecting data on a representative portion of your population — that is, sampling — allows you to collect baseline data and start making improvements faster, using fewer resources, than would be possible if you tried to look at every patient. Baseline data is important so that you can see if the changes you are testing are leading to improvement. Collecting data about a non representative sample of your population, such as by looking only at patients with the most severe pain, won't show the broad impact of your project on your unit.

So, Collect data on a representative selection of patients for two weeks.

is the best data collection plan for this project.

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Disclaimer: This question is incomplete. Please read the full content below.

Question:

You work on a surgical unit that receives 87 new patients per week. In your spare time, you are trying to improve pain control across the unit. As you prepare to collect your baseline data before testing your change, you consider your plan to gather this information. Which of the following would be the best data collection plan for this project, and why?

(A) Collect data on the pain level of every patient for at least a year.

(B) Collect data for at least a year, focusing only on patients who have undergone especially painful surgeries.

(C) Collect data on a representative selection of patients for two weeks.

(D) There is no reason to collect baseline data.

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Option A is correct, the functions f(x) and g(x),  f(x)=√16ˣand g(x)=∛64ˣ are equivalent

The given two functions are f(x)=√16ˣand g(x)=∛64ˣ

We have to find how the graphs of f(x) and g(x) functions are related.

Let us simplify the two functions

f(x)=√16ˣ

=√(4²)ˣ

\(=(4^2)^x^/^2\)

=4ˣ

Now g(x) = ∛64ˣ

\(=(4^3)^x^/^3\)

=4ˣ

f(x) and g(x) are equal

Hence, the functions f(x) and g(x),  f(x)=√16ˣand g(x)=∛64ˣ are equivalent

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How are the graphs of the functions f(x) = sqrt 16^x and g(x) = ^3 sqrt 64 ^x related?

The functions f(x) and g(x) are equivalent.

The function g(x) increases at a faster rate.

The function g(x) has a greater initial value.

The function g(x) decreases at a faster rate

Answer:

  a.  75%

Step-by-step explanation:

Let "p" represent the probability that Jeffrey will eat pizza, and "c" represent the probability that he will drink cola.

We are given ...

  P(p) = 0.40

  P(p&c) = 0.30

The conditional probability of interest is ...

  P(c|p) = P(p&c)/P(p) = 0.30/0.40 = 0.75

The probability Jeffrey will drink cola, given that he eats pizza, is about 0.75.

The disjunction of -p or -q can be written as (-p) v (-q). So, we have to find the truth value of (-p) v (-q). So, the compound statement for the disjunction of -p or -q is (-p) v (-q), and its truth value is true.

using the following statements: p: There are 14 inches in 1 foot.

q: There are 3 feet in 1 yard.

Solution: We know that 1 foot = 12 inches, which means that there are 14 inches in 1 foot can be written as 14 < 12. But this statement is false because 14 is not less than 12. Therefore, the negation of this statement is true, which gives us (-p) as true.

Now, we know that 1 yard = 3 feet, which means that there are 3 feet in 1 yard can be written as 3 > 1. This statement is true because 3 is greater than 1. Therefore, the negation of this statement is false, which gives us (-q) as false.

Now, we can use the values of (-p) and (-q) to find the truth value of (-p) v (-q) using the disjunction rule. The truth value of (-p) v (-q) is true if either (-p) or (-q) is true or both (-p) and (-q) are true. Since (-p) is true and (-q) is false, the disjunction of (-p) v (-q) is true. Hence, the compound statement for the disjunction of -p or -q is (-p) v (-q), and its truth value is true.

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Answer:

15

Step-by-step explanation:

Answer:

6.58 x 10 ^ -2

Step-by-step explanation:

that's 10 to the negative 2 power.

it creates a smaller number. moving decimal to left 2 places.

.0658 meters

Answer:

5.3

Step-by-step explanation:

Answer:

The answer is 5.3

Step-by-step explanation:

5.3x3-2= 13.9 but when you round its 14

The results of the significance test suggest that there is no statistically significant change in the average consumption of sweet snacks among healthy weight children aged 12 to 19 years.

The previous study reported an average consumption of 369.4 kcal/d, with a standard deviation of 10.2 kcal/d. The current study reported an average consumption of 375.2 kcal/d, with a standard deviation of 10.2 kcal/d.

To perform a significance test, we can use the z-score formula:

z = (observed value - mean) / standard deviation

In this case, the observed value is 375.2 kcal/d, the mean is 369.4 kcal/d, and the standard deviation is 10.2 kcal/d. This gives us a z-score of 0.56.

The p-value for a z-score of 0.56 is 0.5696. This means that there is a 56.96% chance of getting a z-score of 0.56 or greater if the null hypothesis is true.

Since the p-value is greater than the significance level of 0.05, we cannot reject the null hypothesis. This means that there is not enough evidence to conclude that there has been a statistically significant change in the average consumption of sweet snacks.

In other words, the results of the current study are consistent with the results of the previous study. There is no evidence to suggest that the average consumption of sweet snacks has changed in the past four years.

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In a case whereby a ball is thrown downward from the top of a 140​-foot building with an initial velocity of 16 feet per second. the time the ball is thrown will it strike the​ ground at t = 2.5 or -3.5.

Height of building = 140 ft

Initial velocity, u = 16 ft/sec

the equation given is

h = -16t² -16t +140

h(t) = -16t² -16t +140

AT h(t) = 0 , We can divide by -2 and have

(8t² + 8t - 70) = 0

8t² + 8t - 70 = 0

Then if we solve with quadratic equation formula where  a=8, b=8, c=- 70 then the root will be -7/2 and 5/2 then  t = 2.5 or -3.5

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complete question;

A ball is thrown downward from the top of a 140​-foot building with an initial velocity of 16 feet per second. the height of the ball h in feet after t seconds is given by the equation h equals negative 16 t squared minus 16 t plus 140. how long after the ball is thrown will it strike the​ ground?

Answer:

(17, -11)

Step-by-step explanation:

Please see the attached picture for full solution.

By using the concept of Binomial distribution of probability, it can be calculated that

a) Mean number of Hispanics on randomly chosen committees of 17 workers = 3.4

b) Standard deviation of the count X of Hispanic members = 1.65

c) If p = 0.1, standard deviation  = 1.24

If p = 0.01, standard deviation = 0.410

So as p tends to zero, standard deviation will decrease

Third option is correct.

What is Binomial Distribution?

Binomial distribution is a discrete probability distribution whose Probability mass function is given by

P(X = x) = \({n \choose x} p^x q^{n-x}\), where p is the probability of success and q is the probability of failure

Here, n = 17, p = 0.20, q = 1 - 0.20 = 0.80

This is a binomial distribution

a) Mean number of Hispanics on randomly chosen committees of 17 workers = 17 \(\times\) 0.20 = 3.4

b) Standard deviation of the count X of Hispanic members = \(\sqrt{17 \times 0.20 \times 0.80}\) = 1.65

c) If p = 0.1, standard deviation = \(\sqrt{17 \times 0.1 \times 0.9}\) = 1.24

If p = 0.01, standard deviation = \(\sqrt{17 \times 0.01 \times 0.99}\) = 0.410

So as p tends to zero, standard deviation will decrease

Third option is correct.

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Step-by-step explanation:

let the number be x

1/2(x) - 1/6(x) =10 -1/8(x)................this is the equation

1/12(x) + 1/8(x)=10

5/24(x)=10

cross multiply

5x= 240

x=240/5

x=48

The surface area of the box, excluding overlap, is 400 square inches.

The volume of the gift box is 300 cubic inches.

To calculate the amount of wrapping paper Malia will need, we need to find the surface area of the gift box.

The gift box has six faces: a top, a bottom, a front, a back, and two sides. The dimensions of the box are given as follows:

width = 15 inches, length = 10 inches, and height = 2 inches.

To find the surface area of the box, we need to calculate the area of each face and then sum them up.

The formula for the surface area of a rectangular prism is given by:

Surface Area = 2(length × width + width × height + height × length)

Substituting the given dimensions into the formula:

Surface Area = 2(10 × 15 + 15 × 2 + 2 × 10)

Surface Area = 2(150 + 30 + 20)

Surface Area = 2(200)

Surface Area = 400 square inches

Therefore, Malia will need 400 square inches of wrapping paper to cover the gift box without any overlap.

Next, let's calculate the volume of the gift box.

The volume of a rectangular prism is given by the formula:

Volume = length × width × height

Substituting the given dimensions into the formula:

Volume = 10 × 15 × 2

Volume = 300 cubic inches

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Answer:

  The conjecture cannot work for any negative numbers, It works for x > 1.3.

Step-by-step explanation:

An odd power preserves the sign. For |x| > 1, the power increases the magnitude. For x < 0, adding -2 only increases the magnitude more. A negative number of larger magnitude will not be "greater than" the reference. It will be "less than."

It only takes a counterexample to show the conjecture is incorrect.

  x^5 -2 ?? x

  (-2)^5 -2 ?? (-2)

  -32 -2 ?? -2

  -34 < -2 . . . . . . not greater than

The average speed of a pitched fastball, which was 93.4 miles per hour, is approximately 136.72 feet per second.

To convert the average speed of a pitched fastball from miles per hour to feet per second, we need to use the conversion factors:

1 mile = 5280 feet

1 hour = 3600 seconds

First, let's convert miles to feet. Multiply the given speed of 93.4 miles per hour by the conversion factor:

93.4 miles/hour * 5280 feet/mile = 492192 feet/hour

Next, we need to convert hours to seconds. Multiply the result by the conversion factor:

492192 feet/hour * 1 hour/3600 seconds = 136.72 feet/second

Therefore, the average speed of a pitched fastball, which was 93.4 miles per hour, is approximately 136.72 feet per second.

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Slope of the given graph function is -3/2 while the y-intercept: (0, 1)

What is slope intercept?

Finding the equation of a straight line in the coordinate plane is done using the slope intercept form. The connection that any point's coordinates on the line must satisfy is the equation of a straight line. Any point that is not on the line will not have coordinates that satisfy. The answer to this equation is simple to determine.

To Find :  equation of the line, in slope-intercept form

Solution:

Standard/ general form of equation of line in 2 variables is

Ax + By + C = 0

Slope intercept form is

y = mx + c

intercept form is

x/a  + y/b   = 1

Slope intercept form is

y = mx + c

m = Slope = -3/2

c = y intercept  =  1  

y  = (-3/2)x  + 1

equation of the line, in slope-intercept form is   y  = (-3/2)x  + 1.

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Answer:

117 units

Step-by-step explanation:

Answer: 14, because the number of catalogs is 56 over 5 divided by 4 over 5.

Step-by-step explanation:

From the question, we are informed that Linda has a shelf that is 56/5 inches wide and that each catalog is 4/5 of an inch thick?

The number of catalogs that Linda can arrange on the shelf will be:

= 56/5 ÷ 4/5

= 56/5 × 5/4

= 56/4

= 14

Answer:

the answer is A 14

Step-by-step explanation:

because the number of catalogs is 5 divided by 4 over 5 9

Since angle y and angle x form vertical angles, the measure of angle x is equal to 50°.

In Geometry, the vertical angles theorem is also referred to as vertically opposite angles theorem and it states that two (2) opposite vertical angles that are formed whenever two (2) lines intersect each other are always congruent, which simply means being equal to each other.

Furthermore, the sum of the angles on a straight line is equal to 180. Therefore, we would sum up all of the angles as follows;

60° + 70° + y = 180°

130° + y = 180°

y = 180° - 130°

y = 50°

Since both angle x and angle y are vertical angles, we can logically deduce that they are congruent and as such the magnitude of angle x is equal to 50°.

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