The number of petty crimes this year fell to 276 from 349 incidents. Find the percent of decrease. Round to the nearest tenth of a percent.

Answer:

Step-by-step explanation:

You want the values of g(1) and f(g(1)), given that f(x) = x² +x -6 and g(x) = 7x +3.

To find the value of a function for a particular argument (value of x), put that value where x is and do the arithmetic.

  g(1) = 7·1 +3 = 7 +3 . . . . . use 1 in place of x in 7x+3

  g(1) = 10

For f(g(1)), we first need to find g(1). We already did that, above.

  f(g(1)) = f(10) = 10² +10 -6 - 100 +10 -6 = 110 -6

  f(g(1)) = 104

If two parallel lines are crossed by a transversal, the value of x is option (b) x = 70 degrees

When two parallel lines are intersected by a transversal, eight angles are formed. Two of these angles are vertical angles, which are opposite angles that share the same vertex and are formed by the intersection of two lines.

Vertical angles are always congruent, meaning they have the same measure. This is a geometric property that is true regardless of the angle's degree measurement.

In this problem, one of the vertical angles is given to be 70 degrees. Therefore, the other vertical angle must also have a measure of 70 degrees. This means that the value of x, which is the measure of one of the vertical angles, is also 70 degrees.

So, correct option is (b) x = 70 degrees.

Learn more about vertical angles here

brainly.com/question/18441229

#SPJ4

The given question is incomplete, the complete question is:

Two parallel lines are crossed by a transversal. What is the value of x? a) x = 40 b) x = 70 c) x = 110 d) x = 130.

Answer:

C

Step-by-step explanation:

x + y + 10 = 0 ( subtract x + 10 from both sides )

y = - x - 10 → (1)

x² + y - 2 = 0 → (2)

substitute y = - x - 10 into (2)

x² - x - 10 - 2 = 0

x² - x - 12 = 0 ← in standard form

(x - 4)(x + 3) = 0 ← in factored form

equate each factor to zero and solve for x

x + 3 = 0 ⇒ x = - 3

x - 4 = 0 ⇒ x = 4

Yes, they are statistically different.

Statistical significance is a term used to indicate that a result from a statistical test is likely to be reliable and reproducible. It is the probability that a result is caused by something other than random chance. Statistical significance is usually determined by calculating the probability, or p-value, that the result occurred by chance. A result is deemed to be statistically significant if the p-value is below a certain threshold. This threshold is typically set at 0.05, but can be adjusted depending on the study.

A p-value below 0.05 is generally considered to be statistically significant, indicating that the differences observed between the two groups are unlikely to have occurred by chance. In this case, a p-value of 0.03 is well below the threshold, indicating that the two groups are statistically different

To know more about Statistical Significance, visit:

https://brainly.com/question/15848236

#SPJ1

The pitch of the roof with one foot horizontal run and 4 inches elevation is 4 in per foot

An equation is an expression that shows the relationship between two numbers and variables using mathematical operations like addition, subtraction, multiplication, exponents

The roof pitch (steepness) is given as a ratio of inch rise per horizontal foot, It is given by:

Pitch = rise / run

For every 1-foot horizontal run, the roof was elevated by 4 inches, hence:

Pitch = rise / run = 4 in / 1 ft = 4 in per foot

The pitch is 4 in per foot

Find out more on  equation at: https://brainly.com/question/2972832

#SPJ1

Answer:

See below

Step-by-step explanation:

It's basically the perimeter of a circle, or it's total distance around it.

Answer:

Step-by-step explanation:

I believe its

(-2,-6)

The number of hamburgers sold in the winter is 57 million.

What is percentage ?

Percentage is a way of expressing a fraction or ratio as a portion of 100. It is denoted by the symbol "%".

For example, if there are 10 green balls in a bag of 20 balls, we can say that the percentage of green balls is:

(10/20) x 100% = 50%

This means that 50% of the balls in the bag are green.

Percentages are often used to represent proportions or amounts in many contexts, such as finance, statistics, and everyday life. They can be used to express changes, comparisons, and relationships between different quantities.

In addition, percentages are commonly used in calculations involving tax, interest rates, discounts, and other types of financial transactions. It is important to have a good understanding of percentages in order to manage personal finances, make informed business decisions, and interpret data accurately.

Let's suppose that the total number of hamburgers sold by the fast food chain in a year is represented by the height of the bars in the bar graph. We know that 25% of the hamburgers are sold in the fall, which means that the bar representing the fall sales must be 25% of the total height of the bars.

Since there are four seasons in a year, each season must represent 25% / 4 = 6.25% of the total height of the bars. Therefore, the height of each bar is 6.25% of the total number of hamburgers sold.

Let's denote the number of hamburgers sold in the winter by x. Then, the height of the winter bar is also x/100 of the total height of the bars.

We know that the winter bar is covered by a smudge, but we can still use the information we have to set up an equation. Since the heights of the bars must add up to the total height, we can write:

25% + 6.25% + 6.25% + 6.25% + x/100 = 100%

Simplifying the left-hand side, we get:

43% + x/100 = 100%

Subtracting 43% from both sides, we get:

x/100 = 57%

Multiplying both sides by 100, we get:

x = 57 million hamburgers.

Therefore, the number of hamburgers sold in the winter is 57 million.

To know more about percentage visit :

https://brainly.com/question/24877689

#SPJ1

the equation of the line perpendicular to 5x - 4y = 10 and passing through the point (5,12) is y = -(4/5)x + 16.

How to determine?

To find the equation of the line perpendicular to the line 5x - 4y = 10 and passing through the point (5,12), we need to first find the slope of the given line.

Rewriting the equation of the given line in slope-intercept form (y = mx + b), we get:

5x - 4y = 10

-4y = -5x + 10

y = (5/4)x - 5/2

The slope of this line is (5/4), so the slope of any line perpendicular to it is the negative reciprocal of (5/4), which is -(4/5).

Now we can use the point-slope form of a linear equation to find the equation of the perpendicular line. The point-slope form is:

y - y1 = m(x - x1)

where (x1, y1) is a point on the line and m is the slope.

Plugging in the values we have, we get:

y - 12 = -(4/5)(x - 5)

Expanding and simplifying, we get:

y - 12 = -(4/5)x + 4

y = -(4/5)x + 16

Therefore, the equation of the line perpendicular to 5x - 4y = 10 and passing through the point (5,12) is y = -(4/5)x + 16.

To know more perpendicular related question visit:

https://brainly.com/question/29094544

#SPJ1

The direct distance between the White House and the Pentagon is approximately 3.067 miles.

Distance is a measure of how far apart two objects or points are from each other. It is a fundamental concept in mathematics, physics, and other scientific disciplines, and plays a crucial role in our everyday lives.

Distance can be measured in various units, such as meters, kilometers, miles, feet, and inches, depending on the context and application. In mathematics, the distance between two points in a plane can be found using the Pythagorean theorem, which states that the distance between two points (x1, y1) and (x2, y2) is given by the formula:

distance = √((x2-x1)² + (y2-y1)²)

In this formula, the square of the difference in the x-coordinates and the y-coordinates of the two points are added and then the square root of the sum is taken to obtain the distance.

Using the distance formula, the direct distance between the two buildings is:

d = sqrt[(x2 - x1)^2 + (y2 - y1)^2]

where (x1, y1) = (-8,-6) and (x2, y2) = (-1,10)

d = sqrt[(-1 - (-8))^2 + (10 - (-6))^2]

d = sqrt[7^2 + 16^2]

d = sqrt(49 + 256)

d = sqrt(305)

Since each unit on the grid represents 0.125 miles, we can convert the answer to miles by multiplying by 0.125:

d = sqrt(305) * 0.125

d = 3.067 miles (rounded to 3 decimal places)

Therefore, the direct distance between the White House and the Pentagon is approximately 3.067 miles.

To know more about grid visit:

https://brainly.com/question/26922171

#SPJ1

Answer:

2h

Step-by-step explanation:

You can still divide 6h by 3 even if its not 3h

Imagine there are 6 h's:

H H H H H H

now divide them by 3:

     1                   2

  HHH            HHH

Now you have 2 groups of H so:

2H

Answer:

Step-by-step explanation:

Since the probability of rain on any given day is 0.5, and the weather on each day is independent of the others, we can calculate the probability of it raining all three days by multiplying the probabilities of rain on each individual day:

P(rain on day 1) x P(rain on day 2) x P(rain on day 3) = 0.5 x 0.5 x 0.5 = 0.125

Therefore, the probability of it raining all three days of your trip to Seattle in October is 0.125, or 12.5%.

The solution of the system of equations is

A system of equations are a pair of equations.

Given the system of equations

4/x - 2/y = 12 (1) and

5/x + 1/y = 8 (2)

We proceed to solve as follows.

Since we have

4/x - 2/y = 12 (1) and

5/x + 1/y = 8 (2)

Multiplying equation (1) by 1 and equation (2) by 2, we have that

4/x - 2/y = 12 (1) × 1 and

5/x + 1/y = 8 (2) × 2

4/x - 2/y = 12 (4)  and

10/x + 2/y = 16 (5)

Now, adding equations (4) and (5), we have that

4/x - 2/y = 12 (4)  

+

10/x + 2/y = 16 (5)

14/x = 28

14 = 28x

x = 14/28

x = 1/2

Substituting x = 1/2 into equation (1), we have that

4/x - 2/y = 12 (1)

4/(1/2) - 2/y = 12 (1)

4 × 2 - 2y = 12

8 - 2y = 12

-2y = 12 - 8

-2y = 4

y = 4/-2

y = -2

So,

Learn more about system of equations here:

https://brainly.com/question/28196676

#SPJ1

Option D:

32 ÷ (–16) is equivalent to –18 ÷ (9).

Given expression:

–18 ÷ (9)

Let us first solve this expression.

                = -2  (negative by positive is negative)

To find which expression has the same value for the given expression:

Option A: –18 ÷ 2

            = –9 (negative by positive is negative)

This is not equivalent expression.

Option B: –12 ÷ (–3)

                = 4  (negative by negative is positive)

This is not equivalent expression.

Option C: –10 ÷ 5

            = –2 (negative by positive is negative)

This is not equivalent expression.

Option D: 32 ÷ (–16)

                = -2  (positive by negative is negative)

This is the equivalent expression to the given expression.

Hence ,32 ÷ (–16) is equivalent to –18 ÷ (9).

Option D is the correct answer.

Learn more about equivalent expressions at:

https://brainly.com/question/24734894

#SPJ1

Answer:

              The x-intercept of Line A is (-3, 0), and the x-intercept of Line B is (-1, 0). Therefore, the x-intercept of Line A is less than the x-intercept of Line B.

Step-by-step explanation:

              The x-intercept of a graph or function is where the line hits the x-axis on a coordinate plane. In other words, the y-value of the x-intercept is 0. Since we are looking for the x-intercept of Line A, we can use the given equation to solve for it by inserting the value y = 0 (as mentioned above, the x-intercept of a function will have the y-value as 0). By solving the equation, you'll get that [tex]-2=\frac{1}{3} (x-3)[/tex] ⇒ [tex]-6=x-3[/tex] ⇒ [tex]x = -3[/tex]. Therefore, the x-intercept of Line A is (-3, 0).

              The x-intercept on a graph is easier to find, as it is where the line touches the x-axis. So the x-intercept of Line B would be (-1, 0). Now that we have both x-intercepts, we can compare them and come up with the final answer that is required. As -3 is less than -1, we can conclude that the x-intercept of Line A is (-3, 0), and the x-intercept of Line B is (-1, 0). Therefore the x-intercept of Line A is less than the x-intercept of Line B.

Have a great day! Feel free to let me know if you have any more questions :)

Answer:

15.81 units

Step-by-step explanation:

Let the hypotenuse of the triangle be x.

Let us use the Pythagorean theorem to find x.

x² = 9² + 13²

x² = 81 + 169

x² = 250

x = √250

x = 15.81 units

The graph of the piecewise function is attached at the end.

A piecewise function is a function that is defined on a sequence of intervals. For example -

[tex]$|x| =\left \{ {{-x\;\;\;\;x < 0} \atop {x\;\;\;\;x > 0}} \right.[/tex]

Given is the piecewise function as -

[tex]$f(x) =\left \{ {{-x-1\;\;\;\;x < 3} \atop {-x+1\;\;\;\;x \geq 3}} \right.[/tex]

Refer to the graph of the piecewise function. The graph of the function is attached. The line one does not include the point {x = 3}. The second line includes the point {x = 3}

Therefore, the graph of the piecewise function is attached at the end.

To solve more questions on piecewise function, visit the link

below -

brainly.com/question/29014197

#SPJ1

Joanna can assemble her bracelet in 30 ways.

In mathematics, a permutation of a set is, loosely speaking, an arrangement of its members into a sequence or linear order, or if the set is already ordered, a rearrangement of its elements. The word "permutation" also refers to the act or process of changing the linear order of an ordered set.

here, we have,

to find the number of ways in which the bracelet can be assembled:

It is given that Joanna has 6 beads and of those 6 beads, 2 are of the same color.

The rest 4 are of different colors.

Six beads can be arranged in a circle in 6!/6 ways.

This means that the six beads can be arranged in 5! ways.

Since this is a bracelet, it can be flipped around.

Therefore, it can be arranged in 5!/2 ways.

5!/2

= 5*4*3*2*1/2

= 60

Now, we know that two beads are of the same color. Therefore, we must divide this by two again.

Therefore, we get:

60/2 = 30

The six beads can be arranged in 30 ways to make the bracelet.

Therefore, we have found that Joanna can assemble her bracelet in 30 ways.

Learn more about permutations here:

brainly.com/question/1216161

#SPJ1

Answer:

x=5

Step-by-step explanation:

26=4x+6
20=4x

x=5

Answer:

integers . whole number and nutural number

Answer:

7/5, 3/2, 11/4, 15/4, 13/3.

Step-by-step explanation:

Convert all to decimal then arrange from lowest to highest

It can't because 15 + 8=23 and the sum of the first 2 sides have to be greater than the third side
So the answer is 18

The answer is 4 times the cube of the first number minus the sum of the second number and two times the third number. That is the result of the calculation is -6.

To calculate this, first, we multiply the first number by itself twice to get the cube of the first number. Then, we subtract the sum of the second and third numbers multiplied by two from the cube of the first number. This result is our answer.

For example, let's say we have the numbers 2, 3, and 4. We first calculate the cube of 2, which is 8. Then, we subtract the sum of 3 and 4 multiplied by two, which is 14. So, the final answer is 8 - 14 = -6.

We can also show the stepwise calculation as follows:

= 2³ - (3 + 2 × 4)

= 8 - 14

= -6

Therefore, the result of the calculation is -6.

Learn more about Cube:

https://brainly.com/question/26726803

#SPJ4

Answer:

To simplify the expression −8(1+x)+7x, we can use the distributive property of multiplication over addition, which states that a(b+c) = ab + ac. Applying this property, we get:

−8(1+x) + 7x = −81 − 8x + 7x (distributing the -8)

= -8x - 8 + 7x (simplifying the multiplication)

= -x - 8 (combining like terms)

Therefore, the simplified form of the expression −8(1+x)+7x is −x − 8.

The evaluation of equations by resolving into quadratic equations and factoring are presented as follows;

A quadratic equation is an equation which can be expressed as; f(x) = a·x² + b·x + c, where a, b, and c are real numbers and a ≠ 0.

1. √(30 - x) = x

x = √(30 - x)

x² = 30 - x

x² + x - 30 = 0

Factoring the above quadratic equation, we get;

(x + 6)·(x - 5) = 0

2. x = √(42 - x)

x² = 42 - x

x² + x - 42 = 0

(x + 7)·(x - 6) = 0

3. √(12 - r) = r

Squaring both sides of the equation, we get;

(12 - r) = r²

r² = 12 - r

r² + r - 12 = 0

(r + 4)·(r - 3) = 0

4. m = √(56 - m)

m² = 56 - m

m² + m - 56 = 0

(m + 8)·(m - 7) = 0

5. r = √(-1 - 2·r)

r² = -1 - 2·r

r² + 2·r + 1 = 0

(r + 1)² = 0

6. √(4·n + 8) = n + 3

4·n + 8 = (n + 3)² = n² + 6·n + 9

4·n + 8 = n² + 6·n + 9

n² + 6·n + 9 - (4·n + 8) = 0

n² + 6·n + 9 - 4·n - 8 = 0

n² + 2·n + 1 = 0

(n + 1)² = 0

7. -n + √(6·n + 19) = 2

-n + √(6·n + 19) = 2

√(6·n + 19) = n + 2

(6·n + 19) = (n + 2)² = n² + 4·n + 4

6·n + 19 = n² + 4·n + 4

n² + 4·n + 4 = 6·n + 19

n² + 4·n + 4 - (6·n + 19) = 0

n² - 2·n - 15 = 0

(x - 5)·(x + 3) = 0

8. 4 + √(-3·m + 10) = m

√(-3·m + 10) = m - 4

-3·m + 10 = (m - 4)² = m² - 8·m + 16

-3·m + 10 = m² - 8·m + 16

m² - 8·m + 16 = -3·m + 10

m² - 8·m + 16 + 3·m - 10 = 0

m² - 5·m + 6 = 0

(m - 3)·(m - 2) = 0

9. x - 5 = √(x + 1)

Squaring both sides, we get;

(x - 5)² = (√(x + 1))²

(x - 5)² = x + 1

x² - 10·x + 25 = x + 1

x² - 10·x + 25 - (x + 1) = 0

x² - 10·x + 25 - x - 1 = 0

x² - 11·x + 24 = 0

(x - 8)·(x - 3) = 0

10. n - 7 = √(3·n - 21)

(n -7)² = (3·n - 21)

n² - 14·n + 49 = 3·n - 21

n² - 14·n + 49 - (3·n - 21) = 0

n² - 14·n + 49 - 3·n + 21 = 0

n² - 17·n + 70 = 0

(n - 10)·(n - 7) = 0

Learn more on quadratic equations here: https://brainly.com/question/17156227

#SPJ1

For given coordinates of a linear equation, the slope will be 3/4 i.e. B.

What is a linear equation, exactly?

When the greatest power of a variable is 1, the equation is said to be linear. Other term used for it is a one-degree equation. The standard form of a linear equation with one variable is Ax + B = 0. There are three variables in this equation: x, A, and B. A denotes a coefficient. A linear equation with only two variables is commonly written as Ax + By = C. There is three more constants added to the constant C: the variables x and y, the coefficients A and B, and the variables.

and general equation of line is y=mx+c

where m=slope=y2-y1/x2-x1

Now,

Here given coordinates are , (-3,4) and (1/7)

then (x1,y1) and (x2,y2) are  (-3,4) and (1/7) respectively

so slope=m=7-4/1-(-3)=3/4

Hence,

          For given coordinates of a linear equation, the slope will be 3/4.

To know about linear equations visit the link

https://brainly.com/question/29739212

#SPJ1

Answer: 464

Step-by-step explanation: First you multiply by 580 times .20 and subtract the answer of that by 580

Loren could receive a monthly payout of approximately $4,646.81 from the annuity to last for 30 years at a 10% annual interest rate.

What is annuity?

A contract between you and an insurance company known as an annuity entails you making a lump sum payment or a series of payments in exchange for regular payments starting either right away or in the future.

To calculate the monthly payout that Loren can receive from an annuity for 30 years, use the formula for the present value of an annuity -

PV = PMT x [(1 - (1 + r)^(-n)) / r]

Where PV is the present value of the annuity (the amount of money Loren has at retirement), PMT is the monthly payout, r is the monthly interest rate (10%/12 = 0.00833), and n is the number of monthly payments (30 years x 12 months/year = 360 months).

Substituting the given values into the formula -

$500,000 = PMT x [(1 - (1 + 0.00833)^(-360)) / 0.00833]

Solving for PMT -

PMT = $500,000 / [(1 - (1 + 0.00833)^(-360)) / 0.00833]

PMT = $4,646.81

Therefore, The value is obtained as $4,646.81.

To learn more about annuity from the given link

brainly.com/question/25215131

#SPJ1

Answer:

the probability assignments for the x distribution can be computed using the binomial probability formula, with p = 0.26 and n = 5, and the results are shown in the table above.

Step-by-step explanation:

If approximately 26% of adults in the United States live with a disability, then the probability of a randomly selected US adult living with a disability is 0.26. We can use this probability to determine the probability of getting a certain number of adults out of five that live with a disability.

To do this, we can use the binomial probability formula:

P(x) = (n choose x) * p^x * (1-p)^(n-x)

where n is the sample size (in this case, 5), x is the number of adults with a disability, p is the probability of an adult having a disability (0.26), and (n choose x) is the binomial coefficient, which can be calculated as:

(n choose x) = n! / (x! * (n-x)!)

where ! denotes the factorial function.

 = 10 * 0.0676 * 0.4052

 = 0.211

The solution is, 0.211 is the probability assignments for the x distribution.

Here, we have,

the probability assignments for the x distribution can be computed using the binomial probability formula, with p = 0.26 and n = 5, and the results are shown in the table above.

now, we have,

If approximately 26% of adults in the United States live with a disability, then the probability of a randomly selected US adult living with a disability is 0.26. We can use this probability to determine the probability of getting a certain number of adults out of five that live with a disability.

To do this, we can use the binomial probability formula:

P(x) = (n choose x) * p^x * (1-p)^(n-x)

where n is the sample size (in this case, 5), x is the number of adults with a disability, p is the probability of an adult having a disability (0.26), and (n choose x) is the binomial coefficient, which can be calculated as:

(n choose x) = n! / (x! * (n-x)!)

where ! denotes the factorial function.

= 10 * 0.0676 * 0.4052

= 0.211

So, 0.211 is the probability assignments for the x distribution.

To learn more on probability click:

brainly.com/question/11234923

#SPJ2

Answer:

x = 2

Step-by-step explanation:

1) Based on the given conditions, formulate: 4 × x = 8

2) Divide both sides of the equation by the coefficient of variable: x = 8 ÷ 4

3) Calculate the product or quotient: x = 2

4) You then get the result x = 2

The product of 4 and a number w is 8.

[tex]4\times w=8[/tex]

This can also be written as:

[tex]4w=8[/tex]

Divide both sides by 4:

[tex]\dfrac{4w}{4}=\dfrac{8}{4}[/tex]

[tex]\boxed{w=2}[/tex]