One year, the population of a city was 117,000. Several years later it was 136,890. Find the percent increase.

Answer:

b

Step-by-step explanation:

9514 1404 393

Answer:

  No; the two systems have parallel lines, so cannot have the same solution

Step-by-step explanation:

One system of equations has the line ...

  8x +9y = 48

The other system of equations has the parallel line ...

  8x +9y = 45

Those two lines cannot intersect, so cannot share a solution.

I do not agree with Albert that the two systems have the same solution.

Answer:

let the number = x

two more than the number = ( x + 2 )  

product of the number and ⅞ = ⅞x

if you add 15 to ( x + 2 ) the result will ⅞x

( x + 2 ) + 15 = ⅞x

8x + 16 +  120 = 7x

x = -136

Step-by-step explanation:

Answer:

17

Step-by-step explanation:

The value of the function at x  = 5 will be equal to f(5) = -3.

The expression that established the relationship between the dependent variable and independent variable is referred to as a function.

In the function as the value of the independent variable varies the value of the dependent variable also varies.

From the given graph the equation of the curve or function is  f(x) = -2x + 7.

We need to find the value of f(5).

Calculate this by replacing x with 5

The value of the function at x=5 will be calculated as,

f(5) = -2(5) + 7.

f(5) = -10 + 7.

f(5) = -3.

Therefore, the value of the function at x  = 5 will be equal to f(5) = -3.

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Answer:

$324

Step-by-step explanation:

it earn 8% interest each year how much at the end of year 1,

to calculate this you multiply 300 by 108% = 300 x 1.08 = 324

A given linear model shows negative correlation.

The correlation coefficient describes how one variable moves in relation to another. A positive correlation indicates that the two move in the same direction, with a value of 1 denoting a perfect positive correlation. A value of -1 shows a perfect negative, or inverse, correlation, while zero means no linear correlation exists.

Given that, a researcher fit a linear model to her data and calculated the correlation coefficient to be -0.29.

Here, a linear model shows negative, or inverse, correlation.

Therefore, a given linear model shows negative correlation.

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Answer:

C

Step-by-step explanation:

The reciprocal is always the number flipped over.

E.g. reciprocal of 9 is 1/9 and the reciprocal of 1/9 is 9

Answer:

C. 1/5

Step-by-step explanation:

The probability that both of his kids are boys are 1/3.

If a man has 2 kids, the possible combinations of kids are:

There are 4 possible combinations of the sexes of the two kids.

The fourth possibility is impossible, because one of the kids is a boy. So it can't be both girls. Then the possible combinations are:

The number of combinations of the both kids are boys = 1

The number of combinations that minimum one kid is boy = 3

Then the probability that both of kids are boys are:

\(P_{both boy}=\frac{both boy}{minimal one boy} \\P_{both boy}=\frac{1}{3} \\\)

So the probability both of kids are boy is 1/3.

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Answer:

To find the area of the reduced triangle, we need to know the length of the base and the height of the triangle after the scaling.

Since the triangle has been reduced by a scale of 0.4, the length of each side has been multiplied by 0.4. Therefore, the base of the reduced triangle is:

10 cm × 0.4 = 4 cm

To find the height of the reduced triangle, we can use the fact that the ratio of corresponding sides in similar triangles is the same. Since the triangle has been scaled down by a factor of 0.4, the ratio of the corresponding sides is 0.4. Therefore, the height of the reduced triangle is:

30 cm × 0.4 = 12 cm

Now that we know the base and the height of the reduced triangle, we can calculate its area using the formula:

Area = (1/2) × base × height

Area = (1/2) × 4 cm × 12 cm

Area = 24 cm²

Therefore, the area of the reduced triangle is 24 cm².

Step-by-step explanation:

Let us suppose that the farmer buys x cows, y pigs and z sheep. The total cost of cows, pigs, and sheep bought by the farmer is

10x + 3y + 0.5z.

The total number of cows, pigs, and sheep bought by the farmer is

x + y + z.

Given that the farmer spent exactly 100 and bought exactly 100 animals, we can write two equations as follows.

:\($10x + $3y + $0.5z = $100 ---(1)x + y + z = 100 ---(2).\)

Multiplying equation (2) by 10 on both sides, we get

:10x + 10y + 10z = 1000

Subtracting this equation from equation (1), we get

:7y + 9.5z = 500

The LHS of the equation

7y + 9.5z = 500

is an odd number. This means that either y or z has to be odd and the other even. If y is even, then z has to be odd and vice versa. However, both

3y and 0.5z

are integers.

The solutions are:

x =

52,

y = 8,

z = 40 ---(Option A)

or = 48,

y = 16,

z = 36

x = 44,

y = 24,

z = 32x

= 40,

y = 32

z = 28

The farmer buys 52 cows, 8 pigs, and 40 sheep.

Hence,

the answer is 52 cows, 8 pigs, and 40 sheep.

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Answer:

4/-15 is the slope

Step-by-step explanation:

Answer:

2(n+1)+2

You start with two greens and two columns of two orange squares while adding two orange squares each time. So, the bolded part is the green squares that stay the same. The 2(n+1) represents the two orange columns that increase by one block on each side per image.

Answer:

the answer is 40 I donk know y

Answer: 384 ft. squared

Step-by-step explanation:

Hey!

So for this problem we first need to convert our scale lengths to feet. Since 4 in. equals 8 ft. that would make the 12 in side 24 ft. long because 12 divided by 4 is 3 and 3 time 8 is 24. We do this because we need to figure out how many times 4 inches are in each length because that how many time the 8ft is in the real length.

Next, we would do the same for the next side and divide 8 by 4 which is 2 and then we multiple 8ft by 2. We then get 16 ft which is our other side length.

After that, we just do our area formula which is length x width or in this case 16 x 24. This gets us 384 and then we add our unit and squared at the end and have our answer.

Hope this helped! :D

Comment if you have any further questions!

The scale factor of model to the tower is 3:1640.

The scale factor states the scale by which a figure is bigger or smaller than the original figure.

In other words, scale factor is a ratio between two corresponding sides of similar figures.

Therefore, the actual tower is 1,083 feet tall and 410 feet wide at the base.

The scale model currently has a base that is 0.75 feet wide.

Therefore, the scale factor of the model can be calculated as follows;

The scale factor can be written as a ratio or fraction.

The scale factor of the base to the model is the same with the height of the tower to the model.

0.75 : 410

multiply both side by 100

75 : 41000

divide both sides by 25

Therefore,

3 : 1640

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Answer:

200N

Step-by-step explanation:

Torque is defined as the turning effect of force about a point. It is expressed as;

Torque = Force × radius

T = Fr

Given parameters

Torque = 100Nm

Radius = 0.5metres

Required

Magnitude of the force F

From the formula T = Fr

F = T/r

F = 100Nm/0.5m

F = 100/(1/2)

F = 100 × 2/1

F = 200Newtons

Hence the magnitude of the force in newtons needed to supply 100 newton-meters of torque to the bolt is 200N

Answer:

Step-by-step explanation:

its 18 ღ

Answer:

yes

Step-by-step explanation:

f(x)>=-7

Functions:

Function, in mathematics, is an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable). Functions are ubiquitous in mathematics.

If a variable y is so related to a variable x that whenever a numerical value is assigned to x, there is a rule according to which a unique value of f(x)is determined, then f(x) is said to be a function of the independent variable x

Given :

f(x) = -3|x+1|-4

using the table of values for g(x) = |x|

Solution :

f(x) = -3|x+1|-4

f(x) = -3|g(x)+1|-4

f(x) = -3||x|+1|-4

which means |x| is always positive |x|>0

f(x) = -3||x|+1|-4

f(x) = -3x-3-4

f(x) = -3x-7

f(x)>=-7

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Answer:

27.3

Step-by-step explanation:

47 + 79 = 126

180 - 126 = 54

m∠F= 54∘

then use the sine rule

looks like if you were solving a ratio problem

30.2/sin of 54∘ = g/sine of 47∘

30.2/.809 = g/.7314

.809g = 30.2 times .7314

.809g = 22.08828

g = 22.08828/.809 =

27.3031891224

https://www.authmath.com/solution/28-Trianale-FGH-has-the-following-measures-m-angle-G-47-circ-f-30-2-and-m-angle--1699882758987781

If

\(\dfrac{x-7}{x^2-x-2} = \dfrac A{x-2} + \dfrac B{x+1}\)

then combining the fractions on the right gives

\(\dfrac{x-7}{x^2-x-2} = \dfrac{A(x+1) + B(x-2)}{(x-2)(x+1)}\)

\(\dfrac{x-7}{x^2-x-2} = \dfrac{(A+B)x + A-2B}{x^2 - x - 2}\)

Solve for \(A\) and \(B\).

\(\begin{cases}A + B = 1 \\ A-2B = -7 \end{cases}\)

Eliminating \(A\), we have

\((A + B) - (A-2B) = 1 - (-7) \implies 3B = 8 \implies B=\frac83\)

which leaves us with

\(A + \dfrac83 = 1 \implies A = -\dfrac53\)

and so the solution is

\((A,B) = \boxed{\left(-\dfrac53,\dfrac83\right)}\)

Answer:

6

Step-by-step explanation:

The alternative Hypothesis is that at least one of the mean total cholesterol levels is different from the others in the four groups of subjects.

A researcher can use an analysis of variance (ANOVA) parametric statistical method to determine if the mean total cholesterol level of the population is the same for four groups of subjects (Group 1 = Diet Restriction; Group 2 = Exercise; Group 3 = Both Diet and Exercise; Group 4 = None).

a. Statistical Test is ANOVA.
b. Null Hypothesis is that the mean total cholesterol level of the population is the same for all four groups.
c. Alternative Hypothesis is that the mean total cholesterol level of the population is different for at least one group.

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Energy consumption is the amount of power used over time, measured in watt-hours (Wh) or kilowatt-hours (kWh). It is calculated by multiplying the power (measured in watts) by the time for which it is used.

To calculate energy consumption, you will need to know the amount of power being used and the time over which it is being used. Power is typically measured in watts (W), and energy is the product of power and time, so energy consumption is the number of watts used multiplied by the number of hours for which they are used.

For example, let's say you want to calculate the energy consumption of a light bulb that uses 60 W of power and is left on for 4 hours. The energy consumption would be:

Energy consumption = 60 W * 4 hours = 240 Wh (watt-hours)

This is the amount of energy that the light bulb used over the 4-hour period.

You can also convert watt-hours to other units of energy, such as kilowatt-hours (kWh). To do this, you would divide the watt-hours by 1,000. In the example above, the energy consumption would be 0.240 kWh.

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Answer: x = -0.377

Step-by-step explanation:

We have the equation:

4^(5*x) = 3^(x - 2)

Now we can use the fact that:

Ln(A^x) = x*Ln(A)

Then we can apply Ln(.) to both sides of the equation to get:

Ln(4^(5*x)) = Ln(3^(x - 2))

(5*x)*Ln(4) = (x - 2)*Ln(3)

(5*x)*Ln(4) - x*Ln(3) = -2*Ln(3)

x*(5*Ln(4) - Ln(3)) = -2*Ln(3)

x = -2*Ln(3)/(5*Ln(4) - Ln(3)) = -0.377

Answer:

\(P(5)=\frac{1}{6}\)

Step-by-step explanation:

Since the number 5 appears once on a 6-sided die, then \(P(5)=\frac{1}{6}\)