What is 0.097% of 320? Round to the nearest hundredth (if necessary).

The equation of the line parallel to y = 4x + 89 and passing through the point (1, 5) is y = 4x + 1.

The equation of the line parallel to y = -7x + 12 and passing through the point (-2, 0) is y = -7x + 14.

The given equation, x = 24, represents a vertical line passing through x = 24.

The equation would be y = (-1/12)x + b, where b is the y-intercept value.

y - 5 = 4(x - 1)

Simplifying, we get:

y - 5 = 4x - 4

Now, rearrange the equation to the slope-intercept form:

y = 4x + 1

Simplifying:

y = -7x + 14

The given equation, x = 24, represents a vertical line passing through x = 24. Parallel lines to vertical lines are also vertical lines with the same x-coordinate.

Therefore, any line parallel to x = 24 will have the equation x = k, where k is a constant. The value of k can be any real number, as long as it remains constant.

Perpendicular to y = 12:

The given line has a slope of 12, so the perpendicular line will have a slope of -1/12.

Therefore, the equation of the line perpendicular to y = 12 will be in the slope-intercept form y = mx + b, with m = -1/12

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Answer:2x - 5cm + 3x +2cm + 2x - 1cm=59cm

2x + 3x + 2x + 2cm + 1cm - 5cm=59cm

7x - 2cm=59cm

7x - 2cm + 2cm=59cm + 2cm

7x=61cm

X=8 5/7cm

Step-by-step explanation:

The length of the sides of the triangle will be equal to 13 cm, 29 cm, and 17 cm.

A shape's perimeter is the whole distance encircling it. It is the perimeter or length of the contour of any geometric two-dimensional shape. The circumference of several figures could be compared based on the measurements.

As per the given information in the question,

The perimeter of the triangle = 59 cm

Use the formula of the perimeter of a triangle,

P = a + b + c

59 = 2x - 5 + 3x + 2 + 2x - 1

59 = 7x - 4

7x = 59 + 4

7x = 63

x = 9

Then, the lengths of the side will be,

2x - 5 = 2(9) - 5 = 13 cm

3x + 2 = 3(9) + 2 = 29 cm and,

2x - 1 = 2(9) - 1 = 17 cm

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Answer:

C

Step-by-step explanation:

C => 7 is mapped into both 8 and 12, and in a function, this is not allowed

Answer:

No

Step-by-step explanation:

Exponents are only added when polynomials are multiplied and only applies to like terms. You add the coefficients of the like terms instead.

For example:

\((x^2+3x+6)+(2x^2-4x+1)=(1+2)x^2-(3-4)x+(6+1)=3x^2-x+7\)

Answer:

no

Step-by-step explanation:

The exponents are added when the the same coefficient is multiplied:

\(x^2(x^3) = x^5\)

If you think about it:

x^2 = x * x    and     x^3 = x * x * x

so you get:

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

But, when adding x's of the same power, you add a coefficient:

\(x^2 + x^2 = 2x^2\), not \(x^2 + x^2 = x^4\)

Always remember to only add exponents when the coefficient/variable is multiplied, not added.

And, when an exponent is put to an exponent, multiply them:

\((x^3)^3 = x^3^(^3^) = x^9\)

9514 1404 393

Answer:

  ΔXYZ ~ ΔBCA

Step-by-step explanation:

Matching angle designators, smallest to largest, we can write ...

  ΔXYZ ~ ΔBCA

Answer:

I'm guessing you meant 3/13 of 18.

In that case, the answer would be 4.2 rounded to the nearest tenth (the actual answer is 4.15384615)

Sorry if this isn't the answer you were looking for.

The 45th term of the sequence is 267.

The 45th term of a sequence can be calculated using the formula:

Tn = a + (n – 1)d

Where,

Tn = the nth term

a = the first term

n = the term position

d = the common difference

In this sequence, the first term is 3, the common difference is 6, and the term position is 45.

Therefore, the 45th term of the sequence is:

T45 = 3 + (45 – 1)6

T45 = 3 + (44)6

T45 = 3 + 264

T45 = 267

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The value of m<3= 130

The correct option is (c)

Given:

m<1= 50

m<1+ m<2= 180  (Linear pair)

m<2= 180-50

m<2=130

Now, m<2 = m<3  [alternate interior angles]

m<3= 130

Hence, the measure of <3 is 130.

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Answer:

The person above me is correct

Step-by-step explanation:

Answer: B

Explanation: The range is a set or a range of y-values of a function. In the graph, the y-value points are -7, -4, 1, 3, and 7. So, the answer is B.

:)

Answer:

the g (7) - value

Step-by-step explanation:

sana maka tulong

Answer:

C. No, the Normal/large sample condition is not met.

Step-by-step explanation:

There is only 20 cup and for a sample to meet the Normal/large sample condition it must be greater than 30 samples or have a normal distribution or have no skewness or outliers  

No, the Normal/large sample condition is not met.

Option C is the correct answer.

A t-test is a statistical test used to determine whether there is a significant difference between the means of two groups or samples.

It is used when the sample size is small or the population standard deviation is unknown.

We have,

The conditions for inference in a t-test are:

Random condition:

The sample should be selected randomly from the population to ensure that the sample is representative of the population.

Normal/large sample condition:

The population should be normally distributed, or the sample size should be large enough to assume normality. A commonly used rule of thumb is that the sample size should be at least 30.

Independence condition:

The observations in the sample should be independent of each other.

In this case,

The random condition is met as the sample was selected randomly. However, the normal/large sample condition is not met since the sample size is only 20, and it's not clear if the population of coffee temperatures is normally distributed.

Therefore, the conditions for inference are not met, and a t-test for the population mean temperature of all cups of coffee served at this restaurant cannot be conducted.

Thus,

No, the Normal/large sample condition is not met.

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Answer:

its half way correct. get rid of the dot on the 2.

Step-by-step explanation:

the point (2, -6) is where the dot is supposed to be located. the 2 is the x point. and the -6 is the y point. so u go to the right 2 and then u go down 6. so the point is where the lowest dot is located

The correct option is (C) from venturing.

To find the correct option:

Therefore, the correct option is (C) from venturing.

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Answer:

The correct option is b.

Step-by-step explanation:

To find the number of solutions, we need to solve the equation:

\( 5x + 3(x - 1) = 10x - x - 5 \)

Let's group all the "x" on the equation.  

\( 5x + 3x - 10x + x = 3 - 5 \)              

Now, let's solve for "x".

\( -x = -2 \)                

\( x = 2 \)    

Therefore, the equation has one solution. The correct option is b.

I hope it helps you!            

Find percent -> 2nd month.

4264*.25==1066 phone calls+=4264

==5330 for 2nd month.

for 2nd -> 3rd

6396==5330*x, solve algebraically to get .20  == 20% increase from 2nd month to 3rd month.

Answer:

\(\large \boxed{1296}\)

Step-by-step explanation:

6 raised to 4 indicates that the base 6 has an exponent or power of 4.

\(6^4\)

6 is multiplied by itself 4 times.

\(6 \times 6 \times 6 \times 6\)

\(=1296\)

Answer: x=1 y=6

Step-by-step explanation:

Answer:

Step-by-step explanation:

One that has the next least in common with the rest.

Answer:

Yes

Step-by-step explanation:

A polygon is a 2D figure with at least three straight sides and angles. A pentagon has five sides and angles, so it qualifies as a polygon.

I hope this helped ^^ Good luck

Answer:

(5y-8)^2

Step-by-step explanation:

Answer:

  see below

Step-by-step explanation:

There are 4 dots in categories 0 and 1; 9 dots in categories 2 and 3; and 2 dots in categories 4 and 5. The histogram with bar lengths 4, 9, and 2 is the appropriate choice.

Answer:

4:25

Step-by-step explanation:

Given that,

r₁ = 15 inches, r₂ = 6 inches

The area of the cylinder is given by :

\(A=2\pi rh+2\pi r^2\)

The ratio of surface areas of two cylinders,

\(\dfrac{S_2}{S_1}=\dfrac{2\pi r_2h_2+2\pi r_2^2}{2\pi r_1h_1+2\pi r_1^2}\\\\\dfrac{S_2}{S_1}=(\dfrac{r_2}{r_1})^2\\\\=\dfrac{6}{15}^2\\\\=\dfrac{4}{25}\)

Hence, the required ratio is 4:25.

Answer:

3x^2-7x+6

Step-by-step explanation:

Standard from: ax^2+bx+c

(3x+2)(x-3)

We just need to multiply these two binomials together.

When doing multiplication we get:

3x^2-9x+2x-6

3x^2-7x+6

This is in standard form so the answer is 3x^2-7x+6

Answer:

2xm+3=34

Step-by-step explanation:

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a) To maximize utility, the consumer should purchase X and Y such that the marginal utility per dollar spent on X and Y is equal. That is, MUx/Px = MUy/Py. Plugging in the utility function and prices, we get (Y/9) = (X/1). Solving for X and Y and using the budget constraint of $360, we get X = 40 and Y = 360. So the consumer should purchase 40 units of X and 360 units of Y to maximize utility.

b) The total utility the consumer receives is U(40, 360) = 40*360 = 14400.
c) With the decrease in the price of X to 4, the new budget constraint is 4X + Y = 360. Plugging in the utility function and solving for X and Y, we get X = 60 and Y = 240. So the new bundle of X and Y that the consumer will demand is 60 units of X and 240 units of Y.
d) The substitution effect is the change in quantity demanded due to the change in relative prices, holding utility constant. The income effect is the change in quantity demanded due to the change in income, holding prices constant. To find the substitution effect, we need to find the bundle of X and Y that gives the same utility as before the price change but with the new prices. Solving for X and Y, we get X = 45 and Y = 320. So the substitution effect is 45 - 40 = 5 units of X. The income effect is the difference between the new quantity demanded and the quantity demanded with the substitution effect, or 60 - 45 = 15 units of X.
e) To have the same utility level after the price changes as before the price change, the consumer would need enough money to purchase the original bundle of X and Y at the new prices. That is, 4(40) + 1(360) = $520. So the consumer would need $520 in order to have the same utility level after the price changes as before the price change.

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Answer:

Step-by-step explanation:

\(x\) is the total volume of milk.

100% - 60% = 40%

40% is left in the glass.

40% of \(x\)  = 80 ml

\(\frac{40}{100}\) of \(x\) = 80

\(x = 80\) × \(\frac{100}{40}\)

\(x = 200\) ml

The volume of milk initially in the glass was 200 ml.

A percentage is a minimum number or ratio that is measured by a fraction of 100.

Let x be the total volume of milk.

100% - 60% = 40%

40% is left in the glass.

40% of x = 80 ml

40 / 100 × x = 80

0.4 × x = 80

x = 200

Thus, The volume of milk initially in the glass was 200 ml.

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The y-intercept of the least squares regression line is 5.5.

Linear regression is a statistical method used to analyze the relationship between two variables by finding a linear equation that best fits the data. The goal of linear regression is to predict the value of one variable based on the value of another variable.

The equation for a simple linear regression model is:

y = mx + b

where y is the dependent variable, x is the independent variable, m is the slope of the line, and b is the y-intercept (the value of y when x is zero).

The equation of the least squares regression line is given by:

y = a + bx

where "a" is the y-intercept and "b" is the slope. We are given the slope as 0.62 and also know the means of x and y. So, we can substitute these values into the equation to solve for the y-intercept:

21 = a + 0.62(25)

21 = a + 15.5

a = 21 - 15.5

a = 5.5

Therefore, the y-intercept of the least squares regression line is 5.5.

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Statement D, "The values x = -6 and x = 6 are both zeros of f(x)," must be true based on the given information.

Since f(x) is evenly divisible by (x + 6), it means that (x + 6) is a factor of f(x). This indicates that when x = -6, f(x) will be equal to zero. Therefore, x = -6 is a zero of f(x). However, the given information does not provide any direct evidence to support the statements A, B, or C. It does not guarantee that (x - 6) is a factor of f(x) (statement A). Additionally, it does not provide information about the remainder when dividing f(x) by (x - 6) (statement B) or the remainder when dividing f(x) by (x + 6) (statement C). These statements cannot be determined solely based on the given information. Therefore, the only statement that can be confirmed as true is statement D, which states that the values x = -6 and x = 6 are both zeros of f(x) since f(6) = -2 is explicitly mentioned.

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