HELP PLS DUE 30 MINS!!!!

Step-by-step explanation:

a ) 19 + 7 = 26

26 ÷ 2 = 13

13 - 5 = 8 ans

b) (19+7/2)-5

\(( \frac{19 + 7}{2} ) - 5\)

hope this answer helps you dear...

Answer:

180° Celsius is equal to approximately 356° Fahrenheit

Step-by-step explanation:

I hope this helps.

The value of 180 degree Celcius in Fahrenheit is 356.

Multiplication or division by a numerical factor, selection of the correct number of significant figures, and unit conversion are all steps in a multi-step procedure.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that Martha has a French cookie recipe that calls for baking the cookies for 14 to 18 minutes at 180∘C.

The temperature in Fahrenheit will be calculated as,

F = 1.8C + 32

F = ( 1.8 x 180 ) +32

F = 356

Therefore, the value of 180 degree Celcius in Fahrenheit is 356.

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Step-by-step explanation:

5x-3=3x+1

or, 5x-3x=1+3

or, 2x=4

or, X = 4÷2

or, X = 2

4x+2

4*2+2

= 1o

the ans is 10 units

The transformation from function f(x) to g(x) is a vertical shift of 4 units up.

The transformation from f(x) to g(x) is a vertical shift of 4 units up. This can be seen by comparing

f(x) = |x| to g(x) = |x| + 4

. In other words, the graph of g(x) is 4 units higher than that of f(x), and the x-intercepts of the two functions are 4 units apart.

The transformation from f(x) to g(x) is a vertical shift of 4 units up. This can be seen by comparing the equations of the two functions. The parent function, f(x), is defined as f(x) = |x|, and the transformed function, g(x), is defined as g(x) = |x| + 4. By adding 4 to the parent function, the graph of the transformed function is shifted up 4 units, which is the same as saying it is shifted 4 units in the positive y-direction. This can be seen in the graphs of the two functions, where the x-intercepts of the two functions are 4 units apart. The transformation from f(x) to g(x) is a vertical shift of 4 units up, and it is the same as the transformation of

y = f(x) to y = f(x) + 4.

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Answer:

8

Step-by-step explanation:

Its multiplying the last number by two, so 4x2=8

Answer:

\(3k^2+18k-13\)

Step-by-step explanation:

Simplify each term. Apply the distributive property.

\(8k+k^2-6-(10k)-1*7-(-2k^2)\)

Simplify.

\(8k+k^2-6+10k-7+2k^2\)

Simplify by adding terms.

Add \(8k\) to \(10k\).

\(18k+k^2-6-7+2k^2\)

Add \(k^2\) and \(2k^2\).

\(18k+3k^2-6-7\)

Simplify the expression.

Subtract \(7\) from \(-6\).

\(19k+3k^2-13\)

Reorder \(18k\) and \(3k^2\)

\(=3k^2+18k-13\)

The equation of the trajectory which can be described using the equations for projectile motion is; y(t) = x·tan(θ) - g·x²/(2·v₀²·cos²(θ)), which is a quadratic equation with a path of a parabola

Projectile motion is the motion of an object that is projected in the air under the influence of gravitational attraction.

Let θ represent the angle at which the path of the object makes with the horizontal, and let v₀ represent the velocity of the object. The path of the object can be described using the equations of the motion of a projectile, as follows;

Horizontal component of the velocity, v₀ₓ = v₀ × cos(θ)

Vertical component of the velocity, \(v_{0y}\) = v₀ × sin(θ)

The horizontal motion of the object is therefore;

x(t) = v₀ₓ × t = v₀ × cos(θ) × t

The vertical motion which is under the influence of gravity is; y(t) = \(v_{0y}\)  × t - (1/2) × g × t²

v₀ × sin(θ) × t - (1/2) × g × t²

The horizontal component indicates that we get;

t = x/(v₀ × cos(θ))

Plugging in the above expression for t into the equation for y(t), we get;

y(t) = \(v_{0y}\)  × t - (1/2) × g × t² = \(v_{0y}\)  × x/(v₀×cos(θ)) - (1/2) × g × (x/(v₀×cos(θ)))²

\(v_{0y}\)  × x/(v₀×cos(θ)) - (1/2) × g × (x/(v₀×cos(θ)))² = (v₀ × sin(θ)) × x/(v₀×cos(θ)) - (1/2) × g × (x/(v₀×cos(θ)))²

(v₀ × sin(θ)) × x/(v₀×cos(θ)) - (1/2) × g × (x/(v₀×cos(θ)))² = x·tan(θ) - g·x²/(2·v₀×cos(θ))²

The equation, y = x·tan(θ) - g·x²/(2·v₀×cos(θ))², is a quadratic equation, which is an equation of a parabola, therefore, the trajectory of an object thrown at an angle to the horizontal is a parabola.

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Answer:

4 books

Step-by-step explanation:

15-3=12

12/3=4

Answer:

Option B is the correct option.

Step-by-step explanation:

\( {(4 - 2)}^{3} - 3 \times 4\)

Subtract the numbers

\( = {(2)}^{3 } - 3 \times 4\)

Multiply the numbers

\( = {(2)}^{3} - 12\)

Evaluate the power

\( = 8 - 12\)

Calculate the difference

\( = - 4\)

Hope this helps..

Best regards!!

Answer:

\(\boxed{-4}\)

Step-by-step explanation:

\((4-2)^3-3 \times 4\)

Brackets or parenthesis are to be evaluated first. Subtract the numbers in the brackets.

\((2)^3-3 \times 4\)

Evaluate the power or exponent.

\(8-3 \times 4\)

Multiply the numbers.

\(8-12\)

Finally, subtract the numbers.

\(=-4\)

There would be no change in the interval width that is Option-C is correct when the sample mean was discovered to be 37 miles rather than the first reported 35 miles after a second run of the data.

Given that,

The sample mean was discovered to be 37 miles rather than the first reported 35 miles after a second run of the data.

We have to find how will this impact the confidence interval's width.

We know that,

Therefore, There would be no change in the interval width that is Option-C is correct when the sample mean was discovered to be 37 miles rather than the first reported 35 miles after a second run of the data.

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Answer:

A if not then D

9 m, 23 m, and 23 m are the triangle's measurements.

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Answer:

E

Step-by-step explanation:

You must use the t-distribution table when working problems when the population standard deviation (σ) is not known and the sample size is small (n<30). General Correct Rule: If σ is not known, then using t-distribution is correct. If σ is known, then using the normal distribution is correct.

Normal distribution, also known as the Gaussian distribution, is a probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean.

In graphical form, the normal distribution appears as a "bell curve".

The normal distribution is the proper term for a probability bell curve.

In a normal distribution the mean is zero and the standard deviation is1. It has zero skew and a kurtosis of 3.

Normal distributions are symmetrical, but not all symmetrical distributions are normal.

The t-distribution describes the standardized distances of sample means to the population mean when the population standard deviation is not known, and the observations come from a normally distributed population.

Therefore,

You must use the t-distribution table when working problems when the population standard deviation (σ) is not known and the sample size is small (n<30). General Correct Rule: If σ is not known, then using t-distribution is correct. If σ is known, then using the normal distribution is correct.

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Answer:

i dont understand

Step-by-step explanation:

Using the gradient of the curve given, the value of a is 6

The stationary point of a curve is a point where the slope of the curve is equal to zero. So, to find the value of a, we need to set the derivative of the curve equal to zero and solve for x.

dy/dx = 2(x + 3)^(1/2) - x

Setting this equal to zero, we have:

2(x + 3)^(1/2) - x = 0

Expanding the square root and rearranging, we get:

x = 2(x + 3)^(1/2)

Squaring both sides of the equation, we have:

x^2 = 4(x + 3)

Expanding the right side and rearranging, we have:

x^2 - 4x - 12 = 0

Using the quadratic formula, we can find the values of x that satisfy this equation:

x = [-(-4) ± √((-4)^2 - 4(1)(-12))] / 2(1)

x = [4 ± √(16 + 48)] / 2

x = [4 ± √64] / 2

x = [4 ± 8] / 2

So, the two possible values of x are:

x = 6, x = -2

Since we are looking for a positive value of x, the only solution that works is x = 6.

Therefore, the value of a is equal to 6.

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The first scenario described is an example of a retrospective cohort study.  The second scenario suggests a retrospective cohort study as well. The third scenario represents a cross-sectional study, where researchers conduct a survey among high school students to assess the prevalence of obesity and diabetes.

1. In the first scenario, a retrospective cohort study is conducted by tracking individuals over a 20-year period. The study begins in 1960 and collects data on cigar smoking practices. After 20 years, the participants are followed up to determine if they developed any cancers. This type of study design allows researchers to examine the long-term effects of smoking Cuban cigars.

2. The second scenario involves a retrospective cohort study as well. The objective is to study the long-term neurological effects of a discontinued anesthetic agent. The researchers identify patients who received the drug before it was discontinued and then assess the occurrence of subsequent neurological disorders. This study design allows for the examination of the relationship between exposure to the anesthetic agent and the development of neurological disorders.

3. The third scenario represents a cross-sectional study. Researchers aim to assess the prevalence of obesity and diabetes among high school students during their junior year. They conduct a survey to gather information on the students' current weight, diabetes status, and other relevant factors. A cross-sectional study provides a snapshot of the population at a specific point in time, allowing researchers to examine the prevalence of certain conditions or characteristics.

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Answer:

04x=24

Step-by-step explanation:

04x=24

divide both sides by 4 to let x stand alone

04x÷4=24÷4

x=6

It has been proved that the matrix A has two distinct real eigenvalues if and only if k > 0.

Let's first define what eigenvalues and eigenvectors are:

Eigenvalues are scalars that represent how a linear transformation changes an eigenvector.

Eigenvectors are non-zero vectors that remain in the same direction when a linear transformation is applied to them.

Now, to find the eigenvalues of a matrix, we need to solve the characteristic equation:

det(A - λI) = 0

where A is the matrix, I is the identity matrix, and λ is the eigenvalue we want to find.

In our case, the matrix A is:

A = [-6 k     -1 -1]

So, the characteristic equation is:

det(A - λI) = (-6-λ)(-1-λ) - k = λ² + 7λ + 6 - k = 0

Now, we can use the quadratic formula to solve for λ:

\(\lambda = (-7 \pm \sqrt{(49 - 4(1)(6 - k)))} / 2\)

Simplifying this expression gives:

\(\lambda = (-7 \pm \sqrt{(25 + 4k))} / 2\)

We can see that this expression will only have distinct real roots if the discriminant (25 + 4k) is positive.

So, we have:

25 + 4k > 0

4k > -25

k > -25/4

Therefore, matrix A has two distinct real eigenvalues if and only if k > -25/4. However, we need to check whether these eigenvalues are positive or not.

Recall that the eigenvalues are:

\(\lambda_1 = (-7+ \sqrt{(25 + 4k))} / 2\)

\(\lambda_2 = (-7 - \sqrt{(25 + 4k))} / 2\)

If k > 0, then both λ₁ and λ₂ will be positive.

If k = 0, then λ₁ = -3.5 and λ₂ = 0, which means they are not both positive.

If k < 0, then λ₁ will be positive and λ₂ will be negative, which also means they are not both positive.

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First number 30 and second number is 30 to write one of the factors as a sum of two numbers.

What do math factors mean?

Let first number 30 and second number is 30

then  the sum of two factors

30+30=60

50+10=60

20×3=60

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Answer:

See graph

Step-by-step explanation:

To find the surface area of a right triangular prism, we need to calculate the area of each face and add them up.

The triangular faces:

The base of the triangular faces is the right triangle with legs of size 6 yd. The area of a triangle can be calculated using the formula A = (1/2) * base * height.

In this case, the base is 6 yd and the height is also 6 yd, as they are the lengths of the legs.

So, the area of each triangular face is (1/2) * 6 yd * 6 yd = 18 yd².

The rectangular faces:

There are three rectangular faces on a right triangular prism, each with dimensions of length (12 yd) and width (6 yd). The area of a rectangle is calculated by multiplying the length and width.

The area of two rectangular faces is 12 yd * 6 yd = 72.

The area of the bottom rectangular faces is 12 yd * 6 √2 yd =  101.82.

Now, let's calculate the total surface area by summing up the areas of all the faces:

Total surface area = 2 * (area of triangular faces) + 3 * (area of rectangular faces)

= 2 * 18 + 2 * 72 +101.82

= 281.82 yd²

To find the volume of a right triangular prism, we multiply the area of the triangular base by the length of the prism.

Volume = (area of triangular base) * (length)

= (1/2) * 6 yd * 6 yd * 12 yd

= 216 yd³

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The correlation coefficient of 0.90 indicates a strong positive linear correlation between happiness and GPA of high school students.

A correlation coefficient measures the strength and direction of the relationship between two variables. In this case, the correlation coefficient of 0.90 indicates a strong positive linear correlation between happiness and GPA of high school students.

A positive correlation means that as one variable (in this case, happiness) increases, the other variable (GPA) also tends to increase. The magnitude of the correlation coefficient, which ranges from -1 to 1, represents the strength of the relationship. A value of 0.90 indicates a very strong positive linear correlation, suggesting that there is a consistent and significant relationship between happiness and GPA.

This means that as the level of happiness increases among high school students, their GPA tends to be higher as well. The correlation coefficient of 0.90 suggests a high degree of predictability in the relationship between these two variables.

It is important to note that correlation does not imply causation. While a strong positive correlation indicates a relationship between happiness and GPA, it does not necessarily mean that one variable causes the other. Other factors or variables may also influence the relationship between happiness and GPA.

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Answer:

its the second answer i hope that helps

Answer:

Step-by-step explanation:

i have no idea

Answer:

Step-by-step explanation:

The coefficient of variation (CV) is a measure of the relative variability of a set of data. It is calculated as the ratio of the standard deviation to the mean, expressed as a percentage. The formula for calculating the CV is as follows:

CV = (Standard Deviation / Mean) * 100%

Here's how to calculate the CV step by step:

Calculate the mean: To find the mean, add up all the data points and divide by the number of data points. This will give you the average value of the data set.

Calculate the standard deviation: The standard deviation is a measure of the variability of a set of data. To calculate it, subtract each data point from the mean and square the result. Then add up the squared deviations and divide by the number of data points minus one. Finally, take the square root of the result to obtain the standard deviation.

Calculate the CV: Finally, divide the standard deviation by the mean and multiply by 100% to obtain the CV.

The CV is a useful measure when comparing data sets with different units of measurement or when comparing the variability of data sets with different means. It gives an indication of the degree of variation in the data set relative to the mean, with higher CV values indicating a higher degree of variability.

It is important to note that the CV should not be used to compare data sets with very different means, as it can be misleading in such cases. In those cases, it is better to use the standard deviation or other measures of variability.

Answer:

First term a₁ = 3/2 and common ratio r = 2

Step-by-step explanation:

We need to find the first term and common ratio while we are given third term = 6 and seventh term = 96

Since common ratio is required so, the sequence is geometric sequence

The formula used is: \(a_n= a_1r^{n-1}\)

We are given: third term = 6 i,e

\(a_3=a_1r(3-1)\\6=a_1r^2----eq(1)\)

Seventh term = 96

\(a_7=a_1r(7-1)\\96=a_1r^6----eq(2)\)

Dividing eq(2) and eq(3)

\(\frac{96}{6}=\frac{a_1r^6}{a1r2}\\16=\frac{r^6}{r^2}\\16=r^{6-2}\\=> r^4=16\\Taking \ fourth \ root\\ r=2,-2,2i,-2i\\ \ We \ will \ consider \ only \ positive \ value \ of \ r \ i.e \ \textbf{ r= 2}\)

So, Common Ratio r = 2

Finding First term using eq(1)

\(a_3=a_1r^2\\6=a_1(2)^2\\6=a_1(4)\\a_1= \frac{6}{4}\\a_1= \frac{3}{2}\)

So, First term a₁ = 3/2 and common ratio r = 2

Answer:

He was going about 26 miles an hour.

Step-by-step explanation:

This is a fraction equal to

66 miles ÷ 2.5 hours

We want a unit rate where

1 is in the denominator,

so we divide top and bottom by 2.5

66 miles ÷ 2.5

2.5 hours ÷ 2.5

=

26.4 miles

1 hour

=

26.4 miles

hour

= 26.4 miles per hour

Assuming that the histogram for the sample is bell-shaped, approximately 68% of the sample values are within one standard deviation of the mean, 95% of the sample values are within two standard deviations of the mean, and 99.7% of the sample values are within three standard deviations of the mean.

Therefore, to estimate the percentage of sample values between 70 and 82, we need to find the number of standard deviations away from the mean that corresponds to these values.

Once we have the mean and standard deviation, we can use the formula:

z = (x - μ) / σ

where z is the number of standard deviations away from the mean,

x is the sample value,

μ is the mean,

and is the standard deviation.

The percentage of sample values between 70 and 82 will be the difference between these two percentages.

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An argument can be invalid even if the premises are true and the conclusion is false.This statement is actually false.

Invalidity refers to the structure of the argument, not the truth value of the premises or conclusion. An invalid argument fails to establish the truth of its conclusion even if its premises are true. In contrast, a valid argument guarantees that the conclusion follows from the premises, regardless of the truth or falsity of the premises. Therefore, an argument can be valid with false premises, and an argument can be invalid with true premises.

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Conclude that there is no guarantee that the conclusion will be false when all the premises are false in an invalid

argument.

If an argument is invalid, then whenever the premises are all false, the conclusion must also be false.

An invalid argument is one where the conclusion does not necessarily follow from the premises, even if the premises

are all true.

In other words, it is possible for the premises to be true, but the conclusion to be false. However, in the scenario you

described, all the premises are false. In an invalid argument, there is no guarantee that the conclusion will also be false.

Identify the argument as invalid.

Recognize that all the premises are false.

Understand that in an invalid argument, the conclusion does not necessarily follow from the premises.

Conclude that there is no guarantee that the conclusion will be false when all the premises are false in an invalid

argument.

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