5.
2) Which of the following are equivalent to
the ratio, "There are 6 brunettes for every 4
blondes"? CIRCLE ALL THAT APPLY.
A) 4:6
C) 3:2
B) 9:6
D) 2:3

Answer:

25 cm^2

24 cm

Step-by-step explanation:

5*5 = 25 cm^2

Make sure not to forget the cm^2, otherwise you will get it wrong

10 + 14 = 24 cm

this is only perimeter so only cm

Answer:

25 cm²

24 cm

Step-by-step explanation:

Area of a Square: A = lw

Since the sides of a square are all the same, we have A = 5(5) = 25 cm²

Perimeter of a Rectangle: 2w + 2l

Simply plug it in:

P = 2(7) + 2(5)

P = 14 + 10

P = 24 cm

65% is the answer.

33-20=13

13/20×100=65%

The equation for temperature change is T = -1.5t + 29 and the number line is plotted.

What is a number line?

A picture of numbers on a straight line is called a number line. It serves as a guide for contrasting and arranging numbers. Any real number, including all whole numbers and natural numbers, can be represented by it.

Let T represent the temperature in degrees Celsius, and let t represent the time in hours after lunchtime.

Then write an expression for the situation as follows:

T = -1.5t + 29

Here, -1.5t represents the decrease in temperature per hour, since the temperature is dropping at a rate of 1.5 degrees Celsius per hour.

Adding 29 to -1.5t gives the initial temperature of 29 degrees Celsius at lunchtime.

To illustrate this situation on a number line diagram, we can plot the temperature T as a function of time t.

The diagram would have time t on the horizontal axis and temperature T on the vertical axis.

Label the point (0, 29) on the diagram to represent the temperature at lunchtime, and the point (x, 16) to represent the temperature at sunset, where x is the number of hours after lunchtime.

Then draw a straight line connecting these two points to represent the linear relationship between temperature and time.

The line slopes downward from left to right, indicating that the temperature is decreasing over time.

Therefore, the number line diagram is plotted.

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On Tuesday at lunchtime, it was 29 degrees Celsius. By sunset, the temperature had dropped to 16 degrees Celsius. Please write an expression for the situation, and draw a number line diagram.

Answer:

-0.4

Step-by-step explanation:

If using a number line, start at 0.2 and go backwards 0.6 to get to -0.4

The values of the variables and numbers in radical form are presented as follows;

43a) x > -5

40a) a > 0

44b) x < 0

47e) x > 0

43b) x = The set of all real numbers

44a) The set of all numbers

45 a) x = 14

45 b) x = 0

45 c) x = -1

45 d) x = -4

45 e) x = 1

42 d)x = 5/196

9 e) x = 4

9 f) x = 8

9 a) √(0.6/36) ≈ 0.13

9 h) √((4 - 10)/(0.01)) = i·10·√6

A radical also known as a root is represented using the square root or nth root symbol and is the opposite of an exponent.

43 a) \(\sqrt{x + 5}\)

x + 5 > 0

Therefore, x > -5

40a) ∛a

a > 0

44b) √(-5·x)³

-5·x < 0

x < 0

47e) √(13 - (13 - 2·x))

(13 - (13 - 2·x)) > 0

13 > (13 - 2·x)

0 > -2·x

x > 0

43b) √|x| + 1

x = All real numbers

44 a) √(-2·x)²

√(-2·x)² = -2·x

x = Set of all numbers

45 a) √(x - 5) = 3

(x - 5) = 3² = 9

x = 9 + 5 = 14

45b) √(2·x + 4) = 2

2·x + 4 = 2²

2·x = 2² - 4 = 0

x = 0/2 = 0

45c) √(x·(x + 1)) = 0

(x·(x + 1)) = 0

(x + 1) = 0

x = -1

45 d) √(x + 5) = -1

(x + 5) = (-1)²

x + 5 = 1

x + 5 = 1

x = 1 - 5 = -4

x = -4

45e) √x + x² = 0

√x = -x²

(√x)² = (-x²)² = x⁴

x  = x⁴

1 = x⁴ ÷ x = x³

x = ∛1 = 1

x = 1

42d) \(\sqrt{\dfrac{5}{x} } +3= 17\)

\(\sqrt{\dfrac{5}{x} }= 17-3 =14\)

\(\dfrac{5}{x} }=14^2=196\)

\(x = \dfrac{5}{196}\)

9e) \(\sqrt{\dfrac{4}{x} } = 1\)

\(\dfrac{4}{x} } = 1^2\)

x × 1² = 4

x = 4

19f) ∛x - 2 = 0

∛x = 2

x = 2³ = 8

9a) \(\sqrt{\dfrac{0.6}{36} }\)

\(\sqrt{\dfrac{0.6}{36} }\) = \(\sqrt{\dfrac{1}{60} }= \dfrac{\sqrt{15}}{30} \approx 0.13\)

9h) \(\sqrt{\dfrac{4-10}{0.01} }\)

\(\sqrt{\dfrac{4-10}{0.01} }\)= √(-600) = √(-1)·√(600) = i·10·√6

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Answer:

-62

Step-by-step explanation:

One easy way to subtract two negative numbers like this (for me anyway) is to factor out the minus sign and add:

- (15 + 47)

- (62)

Remove the parentheses

-62

The inverse Z-transform (IZT) is a mathematical tool used to transform discrete-time signals into the time-domain.

It is the inverse of the Z-transform and is used to find the time-domain representation of a given discrete-time signal represented in the frequency domain. The Z-transform is a powerful tool for the analysis and design of linear, time-invariant, discrete-time systems.

The operator of the inverse Z-transform for X(z) is represented as x[n], where x[n] is the discrete-time signal in the time-domain and X(z) is its corresponding representation in the frequency domain.

The inverse Z-transform is computed by performing a partial fraction expansion and finding the residue of each term in the expansion. The result of the inverse Z-transform is a function of the time index, n.

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Answer:

\(735 = 3 \times 5 \times {7}^{2} \)

Step-by-step explanation:

\(735 = 7 \times 105\)

\(735 = 7 \times 3 \times 35\)

\(735 = 7 \times 3 \times 5 \times 7\)

\(735 = 3 \times 5 \times {7}^{2} \)

Answer:

Please see photos for simplified result

Step-by-step explanation:

The distribution that the residuals in our model to follow is equals to the normal probability distribution. So, option(a).

Because residuals are defined as the difference between any data point and the regression line, they are sometimes called "errors". An error in this context does not mean that there is anything wrong with the analysis. In other words, the residual is the error that is not described by the regression line. The residue(s) can also be expressed by "e". The formula is written as, Residual = Observed value – predicted value or

\(e = y – \hat y \).

In order to draw valid conclusions from your regression, the regression residuals should follow a normal distribution. The residuals are simply the error terms or differences between the observed value of the dependent variable and the predicted value. Therefore, the residuals should have a normal distribution.

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Complete question:

we desire the residuals in our model to have which probability distribution? select answer from the options below

a) normal

b) binomial

c) poisson

The slope of the line is  m = 14 / 17

The line representing  "rise" and " run" is given below

The vertical distance is said to be "rise" and from the graph it is equal to 14.

The horizontal distance is said to be "run" and from the graph it is equal to 17 .

According to the slope formula , we get

     m = 14 / 17

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Answer:

Step-by-step explanation:

A cubic polynomial can be formed with:

(x-a)(x-b)(x-c), cube=3

So,

(x-2)(x+3)(x-4)

or

\(x^{3} -3x^{2} -10x+24\)

The alternative to random sampling is called as systematic sampling which is accepted by a pollster to poll every 10th person that comes out of a store.

Systematic sampling is a probability sampling technique where researchers choose individuals from the population at predetermined intervals (or k).

This method will provide you with a representative sample that can be used to make generalizations about the population if the order of the population is random or random-appearing (for example, alphabetical).

Simple random sampling has numerous advantages over systematic sampling in terms of randomization, but systematic sampling is a little bit simpler to carry out.

Similar to basic random sampling, systematic sampling can be used with a list of the complete population. Contrary to basic random sampling, one can still utilize this technique if you don't have access to a list of the population beforehand.

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Answer:

"what are angles"

Step-by-step explanation:

En la geometría euclidiana, un ángulo es la figura formada por dos rayos, llamados lados del ángulo, que comparten un punto final común, llamado vértice del ángulo. Los ángulos formados por dos rayos se encuentran en el plano que contiene los rayos. Los ángulos también se forman por la intersección de dos planos. Estos se llaman ángulos diedros

Answer:

13. 3x+10=5x-10

14. (I'm not sure how to set this one up, sowwy ;^;)

15. 5x+15=6x

16. x+10=4x-20

I'm pretty sure this is how to set it up

Given that a is in Quadrant 2 and sin(a) =, we need to calculate the value of a. However, the value of sin(a) is missing in the question.

Please provide the value of sin(a) to proceed further. Similarly, given that B is in Quadrant 1 and tan(B) = 1, we need to calculate the exact answers for sin(2/3), cos(26), and tan(23).Here are the steps to calculate the exact answers for sin(2/3), cos(26), and tan(23):Given that B is in Quadrant 1 and tan(B) = 1:Since

tan(B) = opposite / adjacent We can assume opposite side as x and adjacent side as 1. Therefore, we get:

Tan(B) = opposite / adjacent

=> 1 = x/1

=> x = 1 Hence, the opposite side in the right triangle is 1.

Now, we can use the Pythagorean Theorem to find the adjacent side. Using the Pythagorean Theorem, we get:

hypotenuse^2 = opposite^2 + adjacent^2

=> hypotenuse^2 = 1 + 1

=> hypotenuse = √2a.

sin(2a) = sin 16/9 Given that a is in Quadrant 2, the value of cos(a) is positive and sin(a) is negative.

sin(a) = -16/9

cos(a) = sqrt(1 - sin^2(a)

= sqrt(1 - (256/81))

= sqrt(25/81)

= 5/9cos(2a)

= cos^2(a) - sin^2(a)

= (5/9)^2 - (16/9)^2

= 25/81 - 256/81= -231/81

tan(2a) = (2tan(a))/(1 - tan^2(a)

)= 2 * (-16/9) / (1 - (-16/9)^2)

= -32/145 Given that B is in Quadrant 1 and

tan(B) = 1:b. cos(26)We know that

cos(90 - 26) = sin(26) and

sin(90 - 26) = cos(26)

cos(90 - 26) = sin(26)

= sin(64)= cos(26)c. tan(23) We can use the identity

tan(2x) = 2tan(x) / (1 - tan^2(x))

tan(2*23) = tan(46)

= 2tan(23) / (1 - tan^2(23))

=> 1/tan(46) = 2/tan(23) - tan(23)

=> tan(23)

= (2 / tan(46)) + tan(46) We know that

tan(90 - 46)

= cot(46)

= cot(44)

= 1/tan(44) Substituting this value, we get

tan(23) = (2 / (1/tan(44))) + (1/tan(44))

= 2tan(44) + tan(44)

= 3tan(44)

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The following ordered pairs are found by using a graphing tool: (- 2, 2), (4, 2), (- 6, - 2), (8, - 2), (- 6, - 8), (8, - 8), (- 2, -12), (4, - 12)

In this question we know that a line segment has a length of √58 units and the location of the end point K is K(x, y) = (1, - 5) and we need to determine the possible of the end point L on the assumption that the coordinates are integers. A possible approach is to use the Pythagorean theorem to determine the family of points that fulfill the requirements from statement:

58 = (x - 1)² + (y + 5)²

This formula resembles a circle, then we find the limits of the expression:

x = 0

58 = 1² + (y + 5)²

57 = (y + 5)²

y + 5 = ± √57

y = - 5 ± √57

- 12.549 ≤ y ≤ 2.550

y = 0

58 = (x - 1)² + 5²

33 = (x - 1)²

x - 1 = ± √33

x = 1 ± √33

- 4.745 ≤ y ≤ 6.745

Then, we find the following ordered pairs by using a graphing tool:

(- 2, 2), (4, 2), (- 6, - 2), (8, - 2), (- 6, - 8), (8, - 8), (- 2, -12), (4, - 12)

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The general solution of the given differential equation is y = (x^2 − 9/4)e^(-2/3x)/2 + C'/2

Given differential equation is (x^2 − 2y − 3)dy + (2xy − 3x^2)dx = 0

To find the general solution of the given differential equation.

Rewriting the given equation in the form of Mdx + Ndy = 0, where M = 2xy − 3x^2 and N = x^2 − 2y − 3

On finding the partial derivatives of M and N with respect to y and x respectively, we get

∂M/∂y = 2x ≠ ∂N/∂x = 2x

Since, ∂M/∂y ≠ ∂N/∂x ……(i)

Therefore, the given differential equation is not an exact differential equation.

So, to make the given differential equation exact, we will multiply it by an integrating factor (I.F.), which is defined as e^(∫P(x)dx), where P(x) is the coefficient of dx and can be found by comparing the given equation with the standard form Mdx + Ndy = 0.

So, P(x) = (N_y − M_x)/M = (2 − 2)/(-3x^2) = -2/3x^2

I.F. = e^(∫P(x)dx) = e^(∫-2/3x^2dx) = e^(2/3x)

Applying this I.F. on the given differential equation, we get the exact differential equation as follows:

(e^(2/3x) * (x^2 − 2y − 3))dy + (e^(2/3x) * (2xy − 3x^2))dx = 0

Integrating both sides w.r.t. x, we get

(e^(2/3x) * x^2 − 2y * e^(2/3x) − 9 * e^(2/3x)/4) + C = 0

where C is the constant of integration.

To get the general solution, we will isolate y and simplify the above equation.2y = (x^2 − 9/4)e^(-2/3x) + C'

where C' = -C/2

Therefore, the general solution of the given differential equation is y = (x^2 − 9/4)e^(-2/3x)/2 + C'/2

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The probability that a bag of chip is lower than 9.07 oz of weight is 0.1587.

A continuous probability distribution for a real-valued random variable is called a normal distribution or a Gaussian distribution.

An example of a continuous probability distribution is the normal distribution, in which the majority of data points cluster in the middle of the range while the remaining ones taper off symmetrically toward either extreme. The distribution's mean is another name for the center of the range.

The normal distribution defines how a variable's values are distributed, just like any probability distribution does. Because it properly depicts the distribution of values for many natural occurrences, it is the most significant probability distribution in statistics.

the mean of the data = 9.12 oz

The SD = 0.05 oz

The probability of the bag to be less than 9.07 oz

x = 9.07

z = x - mean / SD = 9.07 - 9.12/0.05 = - 1

for z = -ve

Ф(z) = 1 - Ф(-z) = 1 - Ф(1) = 1 - 0.8413 = 0.1587

The probability that a bag of chip is lower than 9.07 oz of weight is 0.1587.

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Answer:

A

Step-by-step explanation:

Cost of the car in "n" years=25000*(1+0.05)^n

Cost of the car in 2 years=25000*(1+0.05)^2=25000*(1.05)^2=27562.5

Answer:

z = 66

y = 120

Step-by-step explanation:

First, we can solve for z because it is supplementary to 114°.

114° + z° = 180°

-114°         -114°

z° = 66°

z = 66

Now, we can solve for y using the fact that the interior angles of a quadrilateral add to 360° (think about a rectangle: 4 x 90°).

We have to use the z value that we solved for earlier.

81° + 93° + y° + z° = 360°

↓ substituting in z-value

81° + 93° + y° + 66° = 360°

↓ combining like terms

240° + y° = 360°

-240°         -240°

y° = 120°

y = 120

The ratio of flour and raisin in cookie recipe is,

Determine the cups of raisins required for 3 cups of floor.

Thus, cups of raisins required is 1 1/4.

The mean of a dataset is simply the average value of the dataset.

The text that completes the statement is  "sample mean"

From the question, we understand that:

The above statements point to the sample mean;

This is because:

Hence, the complete sentence is:

Sample mean infers how well your sample of data represents the total population of data and the ""true"" population mean.

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The three statements that are true with regards to the equation are;

An equation is a statement that two expressions are equivalent.

The equation is; x + 5 = 4 + 3

Therefore; x = 4 + 3 - 5 = 2

The steps to find the solution is; x + 5 = 4 + 3 = 7, therefore;

x + 5 - 5 = 7 - 5 = 2

x + 5 - 5 = x = 2

x = 2

The division property indicates that we get;

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The value of the line integral is:

\((1/27) (49^{(3/2)} - 13^{(3/2)})\)

≈ 36.724

To evaluate the line integral:

\(\int C x^2/y^{(4/3)} ds\)

C is the curve given by x = t² and y = t^3, and ds is the element of arc length along the curve.

We can parameterize the curve as:

r(t) = (t², t³), 1 ≤ t ≤ ∛2

Then the tangent vector to the curve is:

r'(t) = (2t, 3t²)

The length of the tangent vector is:

|r'(t)| = √(4t² + 9t⁴ = t√(4 + 9t²)

So, the element of arc length ds is:

ds = |r'(t)| dt = t√(4 + 9t²) dt

The integral becomes:

\(\int C x^2/y^{(4/3)} ds\)

=\(\int(1 to 3\sqrt 2) (t^4)/(t^{(8/3)}) (t\sqrt{(4 + 9t^2)}) dt\)

= \(\int (1 to 3\sqrt 2) t^{(2/3)}\sqrt (4 + 9t^2) dt\)

To evaluate this integral, we can make the substitution u = 4 + 9t²:

u = 4 + 9t²

du/dt = 18t

dt = du/(18t)

The limits of integration become:

u(1) = 13

u(∛2) = 49

The integral becomes:

\(\int C x^2/y^{(4/3)} ds\)

= \((1/18) \int (13 to 49) u^{(1/2)} du\)

=\((1/27) (49^{(3/2)} - 13^{(3/2)})\)

So, the value of the line integral is:

\((1/27) (49^{(3/2)} - 13^{(3/2)})\)

≈ 36.724

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The other characteristic of a discrete probability distribution function is that each individual outcome has a probability greater than or equal to zero.

In other words, the probability assigned to each possible value in the distribution must be non-negative. This ensures that the probabilities are valid and that the distribution accurately represents the likelihood of each outcome occurring. So, the two characteristics of a discrete probability distribution function are: (1) the sum of the probabilities is one, and (2) each individual outcome has a probability greater than or equal to zero.

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The values of the expressions for the given set of scores are:

a. εX = 0

b. εx^2 = 50

c. ε(x+3) = 15

To find the value of each expression for the given set of scores, let's calculate them one by one:

Set of scores: X = 6, -1, 0, -3, -2

a. εX (sum of scores):

εX = 6 + (-1) + 0 + (-3) + (-2) = 0

b. εx^2 (sum of squared scores):

εx^2 = 6^2 + (-1)^2 + 0^2 + (-3)^2 + (-2)^2 = 36 + 1 + 0 + 9 + 4 = 50

c. ε(x+3) (sum of scores plus 3):

ε(x+3) = (6+3) + (-1+3) + (0+3) + (-3+3) + (-2+3) = 9 + 2 + 3 + 0 + 1 = 15

Therefore, the values of the expressions are:

a. εX = 0

b. εx^2 = 50

c. ε(x+3) = 15

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Answer:

x=9

Step-by-step explanation:

x+12=21

x=21-12

x=9

x+12=21

Step 1: Subtract 12 from both sides.

x+12−12=21−12

x=9

Answer:

jamal is a legend because he knows too much

the mechanical advantage= W : F = 72 : 6 = 12

Answer:

CBA

Step-by-step explanation:

We can name the angle B

Or name the angle ABC

Or name the angle CBA

The vertex of the angle must be in the center

Answer:

The answer is CBA

Step-by-step explanation: