Graph the function . What is the missing x-coordinate for the point , to the nearest tenth?

6.1
7.3
8.4
9.5

Answer:

x=0

Step-by-step explanation:

2x-3x=9-3-6

-x=0

x=0

Answer:

x = 0

Step-by-step explanation:

Given

2x + 6 = 3x + 9 - 3 , that is

2x + 6 = 3x + 6 ( subtract 2x from both sides )

6 = x + 6 ( subtract 6 from both sides )

0 = x

Answer:

5

Step-by-step explanation:

Answer:

$5,775

Step-by-step explanation:

The equation is:

A = P( 1 + rt)

We know

P = $5,500

r = 5% = 0.05

t = 1 month

Let's solve

A = 5,500( 1 + 0.05 x 1)

A = 5,500( 1.05)

A = $5,775

So, his account will be at $5,775 after one month.

Answer:

Hello! answer: x = 68

Step-by-step explanation:

This is a complementary angle meaning it will add up to 90 degrees 90 - 22 = 68 therefore x = 68 HOPE THAT HELPS!

Answer:

Step-by-step explanation:

A. When angles KRS and MSR are equal to angle RSN, the angles KRP and MSR are congruent.

B. When angles KRP and KRS are equal to angle LRS, the angles KRP and MSR are congruent.

C. When angle LRS is equal to angle KRP and angles LRS and RSN are complementary, angle KRP and angle MSR are congruent.

D. When angle LRS is equal to both the angles KRP and MSR, angle KRP and angle MSR are congruent to each other.

Answer:

Incorrect. LRS and RSN are not complementary.

D. When angle LRS is equal to both the angles KRP and MSR, angle KRP and angle MSR are congruent to each other.

Correct.

The wingspan height is 12 feet.

The correct option is (D)

In general, the term "proportion" refers to a part, share, or amount that is compared to a total. According to the concept of proportion, two ratios are in proportion when they are equal.

A mathematical comparison of two numbers is called a proportion. According to proportion, two sets of provided numbers are said to be directly proportional to one another if they increase or decrease in the same ratio. "::" or "=" are symbols used to indicate proportions.

Given:

Height of plane= 20 feet

Wingspan height= 16 feet.

Model height= 15 feet

Model wingspan height= x

Now, using proportion

20/16 = 15/x

20x= 16 x 15

20x= 240

x= 240/20

x= 12 feet.

Hence, the wingspan height is 12 feet.

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(a)The population of interest is the entire university community at Botho University. (b)The sample is the random sample of 200 members. (c)The average time spent in the library, which is 30 minutes, is a statistic because it is computed from the sample and represents a characteristic of the sample, not the entire population.

a) The population of interest in this case would be the entire university community at Botho University. It includes all members of the university community who could potentially spend time in the library.

b) The sample in this case is the random sample of 200 members that was taken from the university community. It represents a subset of the population of interest and is used to make inferences about the larger population.

c) In this case, 30 minutes is a statistic, not a parameter.

A statistic is a value calculated from a sample that describes some characteristic of the sample. In this case, the average time spent in the library, which is 30 minutes, was computed from the sample of 200 members. It represents the average time spent in the library by the sampled members.

On the other hand, a parameter is a value that describes a characteristic of the population. Since the average time spent in the library is based on the sample and not the entire population, it cannot be considered a parameter.

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Answer:

B. Output = (2)(Input) – 3.

Step-by-step explanation:

The correct answer is B. Output = (2)(Input) – 3.

This is because the function is a linear function, and the slope is 2 and the y-intercept is -3.

You can see this by considering the difference in y for each pair of points and the difference in x for each pair of points.

For example, from (negative 1, 1) to (1, 2) the difference in y is 1 and the difference in x is 2.

This means the slope is 1/2 which is the same as 2, and the y-intercept is -3

Answer:

x=12

Step-by-step explanation:

6x - 18 = 3x + 18

6x = 3x + 36

3x = 36

x=12

Answer:

its 12

Step-by-step explanation:

Answer:

C. The note on the package only told customers to call in the event that they had a concern, which could bias the results negatively.

Explanation:

Since customers were only told to call if they had concerns, all of the calls were about concerns or problems that they were having - meaning all of the calls were negative. However, they were never informed to call if they were happy or content with the product, meaning they were never informed of the people who had positive comments, only negative.

A randomized experiment would be the best design for determining the relationship between cell phone use and brain cancer.

In a randomized experiment, individuals are randomly assigned to either a cell phone use group or a non-cell phone use group, and then the incidence of brain cancer is compared between the two groups.

This type of study can establish causality because it eliminates the possibility of confounding variables and ensures that any observed difference in brain cancer incidence is truly due to cell phone use and not some other factor.

Additionally, randomized experiments provide more robust results than observational studies, as they reduce the potential for selection bias and allow for control over extraneous variables.

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Answer:

D. 0

Step-by-step explanation:

A function must not have 2 or more first number or X that have the same value.

True: When a form is created based on two or more tables, a relationship must be defined between queries.

True. When a form is created based on two or more tables, a relationship must be defined between queries in order to ensure that the form displays accurate data. Queries are used to pull data from multiple tables and present it in a single view, so it is important to define the relationships between these tables to avoid inconsistencies or errors in the displayed data. This ensures that the data from the related tables can be properly displayed and managed within the form.

When you drag and search a field from an "other" (unrelated) table, a new one-to-many relationship is created from the table in the list and the table from which you dragged the field. This relationship is established by Access, which does not enforce integrity by default.

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The integral evaluates to (32/3)π.

To evaluate the integral using the divergence theorem, we first need to calculate the divergence of the vector field F(x, y, z) = zk. The divergence of a vector field F = (F₁, F₂, F₃) is given by:

div(F) = ∂F₁/∂x + ∂F₂/∂y + ∂F₃/∂z

For F(x, y, z) = zk, we have F₁ = 0, F₂ = 0, and F₃ = z. Therefore, the divergence of F is:

div(F) = ∂F₁/∂x + ∂F₂/∂y + ∂F₃/∂z = ∂(0)/∂x + ∂(0)/∂y + ∂(z)/∂z = 0 + 0 + 1 = 1

The divergence of F is 1.

Now, we can apply the divergence theorem, which states that the flux of a vector field F across a closed surface S is equal to the triple integral of the divergence of F over the volume V enclosed by the surface. In mathematical notation, it can be expressed as:

∬S F · dS = ∭V div(F) dV

In this case, the surface S is the sphere x² + y² + z² = 4, oriented by outward normals. We need to find the flux ∬S F · dS, which represents the integral of F dotted with the outward unit normal vector dS across the surface S.

Since the vector field F = zk has no x and y components, only the z-component is relevant for calculating the flux. The outward unit normal vector dS can be expressed as (nx, ny, nz), where nx = x/|S|, ny = y/|S|, nz = z/|S|, and |S| represents the magnitude of the surface.

For the sphere x² + y² + z² = 4, we have |S| = 4. Therefore, the outward unit normal vector dS is given by (x/4, y/4, z/4).

To calculate the flux ∬S F · dS, we substitute F and dS into the integral expression:

∬S F · dS = ∭V div(F) dV = ∭V 1 dV

Since the divergence of F is 1, the integral simplifies to:

∬S F · dS = ∭V 1 dV = V

The volume V enclosed by the sphere x² + y² + z² = 4 is given by the formula for the volume of a sphere:

V = (4/3)πr³

Substituting r = 2 (since the radius of the sphere is √4 = 2), we have:

V = (4/3)π(2)³ = (4/3)π(8) = (32/3)π

Therefore, the integral ∬S F · dS evaluates to the volume of the sphere:

∬S F · dS = V = (32/3)π

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The given integral can be evaluated using the divergence theorem. The result is 0.

To evaluate the integral using the divergence theorem, we need to calculate the divergence of the vector field F(x, y, z) = zk and apply it over the surface of the sphere S.

The divergence of a vector field F(x, y, z) = (F₁, F₂, F₃) is given by the expression div(F) = ∂F₁/∂x + ∂F₂/∂y + ∂F₃/∂z. In this case, F(x, y, z) = (0, 0, zk), so ∂F₁/∂x = 0, ∂F₂/∂y = 0, and ∂F₃/∂z = k. Thus, the divergence of F is div(F) = 0 + 0 + k = k.

Now, according to the divergence theorem, the surface integral of the vector field F over the closed surface S is equal to the triple integral of the divergence of F over the volume V enclosed by S. Mathematically, this can be represented as:

∬S F · dS = ∭V div(F) dV

Since div(F) = k, the equation becomes:

∬S F · dS = ∭V k dV

The triple integral of a constant k over the volume V is simply k times the volume of V. In this case, the volume enclosed by the sphere S is V = (4/3)πr³, where r is the radius of the sphere. Substituting this value into the equation, we get:

∬S F · dS = ∭V k dV = k * (4/3)πr³

However, the surface S is oriented by outward normals, which means that the normal vectors are pointing away from the enclosed volume V. Since the vector field F is perpendicular to the surface S, their dot product F · dS will be zero for each infinitesimal surface element dS. Therefore, the surface integral is equal to zero:

∬S F · dS = 0

Thus, the value of the given integral is 0, as obtained using the divergence theorem.

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The probability that you will walk at least 2 dogs this week is 0.74

The probability that you will walk at most 2 dogs this week is 0.41

The probability that you will walk 3 dogs this week is 0.23

The probability that the number of dogs you will walk this week is not less than 5 is 0.18

The expected number of dogs you will walk this week is 2.83

The expected value of x is 11.29

The variance of dogs you will walk this week is 3.2811

The standard deviation of dogs you will walk this week is 1.8113

X: Random variable denoting how many dogs you walk this week.

Table attached at the end of solution

a) Probability that you will walk at least 2 dogs this week

\(P(x \geqslant 2) & =1-P(x < 2) \\\)

= 1 - [P(x = 0) + P(x = 1)]

= 1 - [0.14 + 0.12]

= 1 - 0.26

\(P(x \geqslant 2) &\) = 0.74

b) What is the probability that you will walk at most 2 dogs this week

P(x < 2) = P(x = 0) + P(x = 1) + P(x = 2)

= 0.14 + 0.12 + 0.15

P(x < 2) = 0.41

c) Probability that you will walk 3 dogs this week

P(x = 3) = 0.23

d) Probability that the number of dogs you will walk this week is not less than 5

\(P(x \geqslant 5) &\) = P(x = 6) + P(x = 7) + P(x = 5)

= 0.08 + 0.01 + 0.09

= 0.09 + 0.09

= 0.18

e) Expected number of dogs you will want this week

F(x) = \(\sum_i p_i x_i\)

E(x) = 0 × 0.14 + 1 × 0.12 + 2 × 0.15 + 3 × 0.23 + 4 × 0.18 + 5 × 0.09 + 6 × 0.08 + 7 × 0.01

E(x) = 2.83

f) Expected value of \($x^2$\)

\(E\left(x^2\right) & =\sum_1 p_i x_i^2 \\\)

= 0 × 0.14 + 1 × 0.12 + 4 × 0.15 + 9 × 0.23 + 16 × 0.18 + 25 × 0.09 + 36 × 0.08 + 49 × 0.01

\(E\left(x^2\right) &\) = 11.29

g) Variance of dogs you will walk this week

\(V(x) & =E\left(x^2\right)-[E(x)]^2 \\\)

\(& =11.29-(2.83)^2 \\\)

= 3.2811

h) Standard deviation of dogs you will walk this week

SD (x) = \(\sqrt{3.2811} \\\)

= 1.8113

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You start a dog-walking business. Define X to be a random variable denoting how many dogs you walk

this week. The probability mass function (pmf), f(x), of X is defined as follows:

Table attached at end of the solution

(a) What is the probability that you will walk at least 2 dogs this week?

(b) What is the probability that you will walk at most 2 dogs this week?

(c) What is the probability that you will walk 3 dogs this week?

(d) What is the probability that the number of dogs you will walk this week not be less than 5 ?

(e) What is the expected number of dogs you will walk this week?

(f) What is the expected value of \($X^2$\) ?

(g) What is the variance of dogs you will walk this week?

(h) What is the standard deviation of dogs you will walk this week?

Answer: the circle is not a function

the square is a function

Step-by-step explanation:

The total increase in your company's annual payroll will be $18870.

Given that, you employ 17 people making an average of $37,000 per year.

You want to give every employee a 3% Increase for next year.

3% of increase in salary = 3% of 37,000

= 3/100 ×37,000

= $1110

For 17 employees increase in salary = 1110×17

= $18870

Therefore, the total increase in your company's annual payroll will be $18870.

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Christine can make 3 blankets with 9 yards of fleece.

Given from 6 yards of fleece will make 2 blankets

We have to find how many blankets can she make with 9 yards of fleece

we know 2 blankets will make by 6 yards of fleece

so rate of fleece for make one blanket = (6/2) = 3 yards of fleece

thus, one blanket is maked by 3 yards of fleece.

blankets maked by 9 yards of fleece = 9/3 = 3 blankets

so christine can make 3 blankets with 9 yards of fleece.

christine can make 3 blankets with 9 yards of fleece.

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Answer:  C >7

Step-by-step explanation:

Answer:

21.15 $

Step-by-step explanation:

Answer:

$21.15

Step-by-step explanation:

$2.35 x 9= $21.15

Hope this helps

Answer:

A. 82°

B. 144°

C. 75°

D. 150°

E. 241°

F. 80°

Step-by-step explanation:

A circle is 360°

A. 360 - 278 = 82 °

B. 360 - (124 + 92) = 144 °

C. 360 - (255 + 30) = 75 °

D. 360 - (118 + 30 +62) = 150 °

E. 360 - (21 +41 + 57) = 241 °

F. 360 - (30 + 60 + 80 + 110) = 80°

Also, the 80° is congruent so it's the same on both sides.

The frequency of the simple harmonic motion described by the equation d=9cos((p/2)t) is pi/2.

In the equation d=9cos((p/2)t), the displacement d of the oscillating object is given by a cosine function with an argument of (pi/2)t. The general form of a cosine function is cos(wt), where w is the angular frequency of the motion. The angular frequency is related to the frequency f by the equation w=2pif. Therefore, to find the frequency of the motion described by the given equation, we need to find the value of w.

In this case, we have w = (pi/2), which means that the frequency f is w/2pi = (pi/2)/(2pi) = pi/4pi = 1/4. Simplifying this fraction gives us a frequency of pi/2, which is the final answer. Therefore, the frequency of the simple harmonic motion described by the equation d=9cos((p/2)t) is pi/2.

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the simplest fraction is: 3/5

in decimal form its: 0.6

Answer:

x = 24

Step-by-step explanation:

Since all the angles share a common vertex 'U' lying on a straight line QT.

Therefore, sum of all angles formed at U will be equal to 180°.

m∠RUQ + m∠RUS + m∠SUT = 180°

(2x - 4) + (3x + 5) + (2x + 11) = 180°

(2x + 3x + 2x) + (5 - 4 + 11) = 180

7x + 12 = 180

7x = 180 - 12

x = \(\frac{168}{7}\)

x = 24

Therefore, value of x = 24

Answer:

3/4

Step-by-step explanation:

We want to know the probability or rolling two numbers such that their product is a multiple of 3. If we have 2, 4-sided dice then the total number of outcomes is 16 because 4² = 16.

Think about what numbers result in a multiple of 3.
3, 3
3, 4
3, 5
3, 6
4, 3
4, 4
4, 5
4, 6
5, 3
5, 4
5, 5
5, 6
6, 3
6, 4
6, 5
6, 6

Of the possible outcomes above, only the ones in bold result in multiples of 3. So, the probability of rolling both dices and having their product be a multiple of 3 is 12/16, or 3/4.

In every triangle the addition of all internal angles is always 180 degrees.

So this means we can build this equation

5x + 35 + 60 = 180

now separate x values and numerical values

5x = 180 - 60 - 35

x= (180 - 60 - 35)/ 5 = 85/5 = 17

Answer: 11 hours :)

Step-by-step explanation: 1215-445=770, 770 divided by 70=11 so 11 days

Answer: it will move down.

Step-by-step explanation:

because of gravity.

Answer:

{-1, 0, 1, 3}

Step-by-step explanation:

A relation is a set of ordered pairs of numbers. The domain of a relation is the set of all the first elements (or x-values) in the ordered pairs. In this case, the relation is (-1,5) , (0,4), ( 1,2) , (3,-2), so the domain is the set of all the x-values in these ordered pairs, which is the set {-1, 0, 1, 3}. Therefore, the domain of the relation is {-1, 0, 1, 3}.

Answer:

- 8x > 24

Step-by-step explanation:

Given

- 6x - 10 > 14 + 2x ( subtract 2x from both sides )

- 8x - 10 > 14 ( add 14 to both sides )

- 8x > 24 ← required missing step

Divide both sides by - 8, reversing the symbol as a result of dividing by a negative quantity.

x < - 3 ← is the solution