Find a point on the line and the line's slope.
y-5=-2/(x-3)

Answer:

The property tax that must be paid on the lot is $864.

Step-by-step explanation:

The assessment value of the lot is $36,000, and the tax rate is 2.4 cents per $1, or 0.024. So the total amount of tax due is calculated as follows:

$36,000 * 0.024 = $<<36000*0.024=864>>864

The actual percentage of female people with ppd is more than 12%.

Many women experience postpartum depression (commonly known as PPD), which is a medical disorder. After giving delivery, there are intense emotions of sadness, anxiety (concern), and exhaustion that persist for a long time. You may find it challenging to care for both you and your infant as a result of these feelings. PPD can occur at any point following childbirth. Within 1 to 3 weeks of giving birth, it frequently begins. To get better, it need treatment.

And that's basically what TS% is. A measure of scoring efficiency based on the number of points scored over the number of possessions in which they attempted to score. The actual TS% formula multiplies the denominator by 2 to put the number into a percentage scale, but it's the same result on a different scale

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Carrie made a mistake in her step 3.

She was suppose to change the inequality symbols to the opposite after dividing by a negative number.

In mathematics, an inequality is a relation which makes a non-equal comparison between two numbers or other mathematical expressions.

Inequalities are mathematical expressions involving the symbols >, <, ≥ and ≤.

Carrie is trying to solve this inequality.

2x - 5 < 11 + 6x

add 5 t both sides of the inequality

2x - 5 + 5 < 11 + 5 + 6x

2x < 16 + 6x

subtract 6x from both sides of the inequality

2x - 6x < 16 + 6x - 6x

-4x < 16

divide both sides by -4

-4x / -4 < 16 / -4

x > - 4

Therefore, She made a mistake in the step 3.

If she is dividing both sides of an inequality by a negative number, the inequality sign will change to the opposite.

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Answer:

9.14

Step-by-step explanation:

To add these numbers, we first need to rewrite them in standard form, which means expressing them as a number between 1 and 10, multiplied by a power of 10.

The first number, (8.8 × 10^-2), is already in standard form.

The second number, (3.4 × 10^-4), is not in standard form. To rewrite it in standard form, we divide 3.4 by 10 twice:

(3.4 × 10^-4) = (0.34 × 10^-2) = (3.4 × 10^-3)

Now that both numbers are in standard form, we can add them:

(8.8 × 10^-2) + (3.4 × 10^-3) = 8.8 + 0.34 = 9.14

The final answer is 9.14.

Answer:

9.14

(8.8 × 10 − 2) + (3.4 × 10 − 4) = 9.14

Answer:

B. [tex]\triangle UVZ \cong \triangle VYX[/tex], SSS

The congruent statement and the reason why the triangles are congruent is (b) ΔUVZ ≅ ΔVYX, SSS

From the question, we have the following parameters that can be used in our computation:

Triangles = UVZ and VYX

There are several theorems that make any two triangles to be congruent

One of these theorems is the SSS congruent theorem

The SSS congruent theorem implies that the corresponding sides of the triangles in question are congruent

From the question, we can see that the following corresponding sides on the triangles UVZ and VYX have the same mark

UV and VY

UZ and VX

VZ and YX

This implies that these sides are congruent sides

Hence, the congruent statement on the congruency of the triangles is (b) ΔUVZ ≅ ΔVYX and the reason is by SSS

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The result is not statistically significant.

To test the hypothesis is the mean SAT score is less than 1520 at 5% significance level.

The null hypothesis is

H₀ : μ ≥ 1520

The alternative hypothesis is

Hₐ : μ ≤ 1520

then the test statistic is,

t = (x - μ)/(s/√n)

 = (1501 - 1520)/(53/√20)

t = - 1.603

The t-test statistic is - 1.603.

Degree of freedom n - 1 = 20 - 1 = 19

Hence the t-critical value is -1.792.

The conclusion is that the t value corresponds to sample statistics is not fall in the critical region, so the null hypothesis is not rejected at 5% level of significance. There is insignificance evidence indicates that the mean SAT score is less than 1520.

The result is not statistically significant.

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Answer:

B

Step-by-step explanation:

Solve (x + y(x)) (-(dy(x))/(dx) + 1) = (dy(x))/(dx) + 1:

Let v(x) = x + y(x), which gives (dv(x))/(dx) = (dy(x))/(dx) + 1:

(-(dv(x))/(dx) + 2) v(x) = (dv(x))/(dx)

Simplify:

-((dv(x))/(dx) - 2) v(x) = (dv(x))/(dx)

Solve for (dv(x))/(dx):

(dv(x))/(dx) = (2 v(x))/(v(x) + 1)

Divide both sides by v(x)/(v(x) + 1):

((dv(x))/(dx) (v(x) + 1))/v(x) = 2

Integrate both sides with respect to x:

integral((dv(x))/(dx) (v(x) + 1))/v(x) dx = integral2dx

Evaluate the integrals:

log(v(x)) + v(x) = 2 x + c_1, where c_1 is an arbitrary constant.

Solve for v(x):

v(x) = W(e^(2 x + c_1))

Simplify the arbitrary constants:

v(x) = W(c_1 e^(2 x))

Substitute back for y(x) = -x + v(x):

Answer:  y(x) = -x + W(c_1 e^(2 x))

Compared with randomly paired people, friends are more likely to share the same attitudes and beliefs. this best illustrates the association between similarity and attraction.

What is social Psychology ?

Social psychology is the scientific study of how individuals's thoughts, feelings, and behaviors are affected by the actual or hypothetical presence of other people.

               Social psychology is the study of how individual or group behavior is influenced by the presence and behavior of others.

What is social psychology's primary area of study?

Social psychologists research the ways in which social impact, social perception, and social interaction affect both individual and group behavior.

                   Some social psychologists concentrate their efforts on studying how people behave.

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Answer: B.180

Step-by-step explanation:

number of acres = 60

area required for one goat = 1/3 of an acre

number of goats one acre can hold =  3

number of goats her land can support = 60*3 = 180

Answer:

(3,1)

Step-by-step explanation:

hii ! for this question, x = 3, which is your first point. for the second part, you're going to need to plug x into the 5x.

5(3)-4y=11

15-4y=11

subtract 15 from each side

-4y=-4

y=1

(3,1) is gonna be your answer !

 By solving 13 = 8- 5d we get the value of ‘d ’ is equal to -1.

This equation can be solved by arranging the non – algebraic equations on one side and letting the algebraic number on the other side.

13 = 8 – 5d

5d = 8-13

5d = -5

d = -5/5

d = -1.

While arranging the non - algebraic numbers on one side their signs should be changed after taking the number into another side. Similarly, while arranging the algebraic equations on one side, signs of the numbers should be changed. In an algebraic equation, the terms addition, subtraction, multiplication, division, raising to a power, and extraction of a root are applied to a set of variables to construct a statement of the equality of two expressions.

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Answer: 3 to 10. will be the ratio.

Step-by-step explanation:

Answer:

5x

Step-by-step explanation:

when 2 terms have a the same variable you can just add the coeefiects

2x+3x

2+3=5 so 2x+3x=5x

hopes this helps please mark brainliest

If there are 6 students and one is selected for best student and another is selected for runner up, then 15 different ways that we can arrange the students

Total number of students in the class = 6 students

Number of students for best student = 1 student

Number of students for runner up = 1 students

Total number of students needed = 2

Here we have to use the combination

6[tex]C_2[/tex] = 6! / 2!(6 - 2)!

= 6! / 2! × 4!

Split the terms and cancel it

= 6 × 5 / 2 × 1

Multiply the terms

= 30 / 2

Divide the numbers

= 15 combinations

Therefore, there are 15 combinations

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Therefore ,there are 158,184,000 ways to create a license plate in this system.

A selection from a group of separate items is called a combination in mathematics, and the order in which the elements are chosen is irrelevant (unlike permutations). An apple and a pear, an apple and an orange, or a pear and an orange are three combinations of two fruits that can be chosen from a set of three fruits, such as an apple, an orange, and a pear. Formally speaking, a set S's k-combination is a subset of S's k unique components. Two combinations are therefore equal if and only if they have the same elements in both combinations.

According to the counting principle, the total number of ways to obtain a license plate is calculated by multiplying the number of times each of these events might occur together.

The first number (the digits 1 through 9) can be obtained in nine different ways.

There are 26 methods to obtain the first letter. There are 26 ways to obtain the following letter (repetition is acceptable).

There are 26 methods to get the third letter, 10 ways to get the next number (zero is acceptable), and 10 ways to get the following number with repetitions.

How many ways are there to get the next number? 10 ways\s.

Thus ,total options for obtaining a license plate:

9 x 26 x 26 x 26 x 10 x 10=158184000

Therefore ,there are 158,184,000 ways to create a license plate in this system.

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The divergence theorem of the equation S(2x+2y+z2)dS exists 4/3 π.

Let S be the boundary surface of E with the positive (outward) orientation, and let E be a straightforward solid region. Let F be a vector field with continuous partial derivatives on an open region containing E for each of its component functions. Then

[tex]$\iint_S F \cdot d S=\iint_S F \cdot n d S=\iiint_E div Fdv$[/tex],

where n be the outward normal of S.

Let the given equation be

The sphere S is x² + y² + z² = 1

By using concept,

[tex]$$\iint_S F \cdot n d S=\iint_S\left(2 x+2 y+z^2\right) d S$$[/tex]

Therefore,

[tex]$$F \cdot n=2 x+2 y+z^2$$[/tex]

Given that the sphere S is x² + y² + z² = 1

For S, n will be

[tex]$n=\frac{x i+y j+z k}{\sqrt{x^2+y^2+z^2}}$$[/tex]

After substituting the value of x² + y² + z² = 1

n = x i + y j + z k

Therefore,

F(xi + yj + zk) = 2x + 2y + z²

Consider F = Pi + Qj + Rk

[tex]$& (P i+Q j+R k) \cdot(x i+y j+z k)=2 x+2 y+z^2 \\[/tex]

Px + Qy + Rz = 2x + 2y + z²

By comparing the values, P = 2, Q = 2, R = z

So, F becomes

F = 2i + 2j + zk

By using the definition of Divergence,

[tex]${div} F=\left(\frac{\partial}{\partial x}, \frac{\partial}{\partial y}, \frac{\partial}{\partial z}\right) \cdot(2 i+2 j+z k) \\[/tex]

[tex]$& =\frac{\partial}{\partial x}(2 i+2 j+z k)+\frac{\partial}{\partial y}(2 i+2 j+z k)+\frac{\partial}{\partial z}(2 i+2 j+z k) \\[/tex]

= 0 + 0 + 1

div F = 1

By using Divergence Theorem,

[tex]$ \iint_S F \cdot n d S=\iiint_E {div} F d V \\[/tex]

[tex]$& \iint_S\left(2 x+2 y+z^2\right) d S=\iiint_E 1 d V[/tex]

Since [tex]$\iiint_E 1 d V$[/tex] is the volume of sphere with radius 1

[tex]$& \iint_S\left(2 x+2 y+z^2\right) d S=\text { Volume of } E \\[/tex]

[tex]$& =\frac{4}{3} \pi(1)^3=\frac{4}{3} \pi[/tex]

Thus,

[tex]$\iint_S\left(2 x+2 y+z^2\right) d S=\frac{4}{3} \pi$$[/tex]

Therefore, the divergence theorem of the equation S(2x+2y+z2)dS exists 4/3 π.

The complete question is:

Use the Divergence Theorem to evaluate S(2x+2y+z2)dS where S is the sphere x2+y2+z2=1.

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The divergence theorem of the equation S(2x+2y+z2)dS exists 4/3 π.

What is meant by divergence theorem?

Let S be the boundary surface of E with the positive (outward) orientation, and let E be a straightforward solid region. Let F be a vector field with continuous partial derivatives on an open region containing E for each of its component functions. Then

[tex]\iint_S F \cdot d S=\iint_S F \cdot n d S=\iiint_E d i v F d v[/tex]

where n be the outward normal of S.

Let the given equation be

The sphere S is x² + y² + z² = 1

By using concept,

[tex]\iint_S F \cdot n d S=\iint_S\left(2 x+2 y+z^2\right) d S[/tex]

Therefore,

[tex]\mathrm{F} \cdot n=2 x+2 y+z^2[/tex]

Given that the sphere S is x² + y² + z² = 1

For S, n will be

[tex]n=\frac{x i+y j+z k}{\sqrt{x^2+y^2+z^2}}[/tex]

After substituting the value of x² + y² + z² = 1

n = x i + y j + z k

Therefore,

F(xi + yj + zk) = 2x + 2y + z²

Consider F = Pi + Qj + Rk

[tex](P i+Q j+R k) \cdot(x i+y j+z k)=2 x+2 y+z^2[/tex]

Px + Qy + Rz = 2x + 2y + z²

By using the definition of Divergence,

= 0 + 0 + 1

div F = 1

By using Divergence Theorem,

[tex]\begin{aligned}& \iint_S F \cdot n d S=\iiint_E d i v F d V \\& \iint_S\left(2 x+2 y+z^2\right) d S=\iiint_E 1 d V\end{aligned}[/tex]

Since[tex]\iiint_E 1 d V[/tex]is the volume of sphere with radius 1[tex]$$\begin{aligned}& \iint_S\left(2 x+2 y+z^2\right) d S=\text { Volume of } E \\& =\frac{4}{3} \pi(1)^3=\frac{4}{3} \pi\end{aligned}$$Thus,\iint_S\left(2 x+2 y+z^2\right) d S=\frac{4}{3} \pi[/tex]

Therefore, the divergence theorem of the equation S(2x+2y+z2)dS exists 4/3 π.

Use the Divergence Theorem to evaluate S(2x+2y+z2)dS where S is the sphere x2+y2+z2=1.

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Answer:

Step-by-step explanation:

Given,

[tex]P = $400 find I\\R = 9%\\\\T = 0.25 years[/tex]

[tex]T=0.25[/tex](Remember 9% = .09 in decimal form)

So We convert it into a decimal form

[tex]\frac{9}{100} =0.09[/tex]

Now we find the Interest,

[tex]I=PRT\\[/tex][tex]I = 400X0.09X0.25\\I=36X0.25\\I=9$[/tex]

9$ is the answer

There is sufficient evidence at the 0.02 level of significance that the percentage is over 62% for hypothesis.

Given that,

Over 62% of a newsletter publisher's subscribers, in their estimation, own a Rolls-Royce. A potential advertiser wants to verify this claim for marketing purposes. The advertiser decides to reject the null hypothesis following a test with a significance threshold of 0.02 after executing the analysis.

We have to find what is the verdict in relation to the publisher's assertion.

We know that,

First we have to write the null hypothesis and alternative hypothesis for the hypothesis test.

H₀:P=0.62

H₁:P>0.62

At 0.02 level of significance, rejecting H₀ then accepting H₁.

That is sufficient evidence that percentage over 62%.

Therefore, there is sufficient evidence at the 0.02 level of significance that the percentage is over 62% for hypothesis.

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The first step is to subtract $500 from $2000 and then you end up with $1500 which you then divide by 5.

Each payment will have to be $300

You will have 3 1/2 left of apples

Answer:6.5 apples

Step-by-step explanation:

7 *.5=3.5 whole apples

10 apples- 3.5 apples=6.5 apples

Function f'(X) is increasing for x< - 1.260   because f ′(x) > 0 for x < −1.260

Describe function using an example?

A unique relationship where each input only has one output. Where x is the input value, it is frequently expressed as function "f(x)".

                             Example: "f of x equals x divided by 2" (f(x) = x/2). This expression is a function because each input "x" has a single output "x/2": • f(2) = 1.

Given,

              f'(X) = 2x² + 4/x

              f'(x) =  2x³ + 4/x

So, here f'(X) is positive for x< 1.260 .

f'(X) is increasing for x< - 1.260   because f ′(x) > 0 for x < −1.260

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Answer:

3x + y = 4

Step-by-step explanation:

The standard form of an equation can be written as: ax + by = c

The equation is currently written in slope-intercept form.

In order to turn it into standard form, we must have both x and y on one side of the equation. So...

y = -3x + 4 Add 3x to both sides

3x + y = 4

Therefore the standard form of the equation y = -3x + 4 is 3x + y = 4

Answer:

24

Step-by-step explanation:

24

Step-by-step explanation:

Given the equation of the regression line :

y = - 20.3 + 0.489s

where ŷ is the predicted science score

s = IQ score

An actual science test score for a student is 52.6 with an IQ of 100.

Find and interpret the residual.

The predicted science test score for a student with an IQ of 100 is :

y = - 20.3 + 0.489(100)

y = - 20.3 + 48.9

y = 28.6

The residual = actual - predicted score

The residual = 52.6 - 28.6 = 24

Hence, the residual is 24 which is the error in prediction made about the actual score.

Answer:

The difference is

.9

(x/5)-10 where x is "number"

Therefore, number of strings can be made by using 4 lower case english letters is 66,351 strings.

Combination refers to an arrangement of objects where the order is not crucial. Contrary to permutation, where the order is important. Consider how the letters A, B, and C would be arranged. ABC and ACB are not the same arrangement in a permutation.

Here,

Repetition is permitted as long as we're only looking at lowercase letters.

Number of strings of length 4=[tex]26^{4}[/tex]

Other than x, how many strings of length 4 exist=[tex]25^{4}[/tex]

 [tex]26^{4}[/tex]- [tex]25^{4}[/tex]=66,351 strings.

Therefore number of strings can be made by using 4 lower case english letters is 66,351 strings.

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Answer:

Step-by-step explanation:

x+80=145

x=65

Answer:it is 24 ∪w∪

Step-by-step explanation: 100% is 24