Question 1 (1 point)
Identify the slope and y-intercept.
y = -4x - 2
m = -2, b = -4
b
m = 4, b = 2
m = -4. b = 2
m= -4, b= -2​

The number of feet of wood that is needed is given as 35 feet of wood.

We have to do this through the use of pythagoras theorem

a² = b² + c²

8² + 6²

a = √100

= 10

4² + 6²

= 52

a = √52

Then we would have

10 + 10 + √52 + √52

= 34.42

This is approximately 35 feet

The feet of wood that is needed is given as 35 feet

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Answer:

The number of feet of wood that is needed is given as 35 feet of wood

Step-by-step explanation:

I just did it on E2020 and got it right

The top of the ladder touches a height of 8 feet on the wall. To determine how high on the wall the top of the ladder touches, we can use the Pythagorean theorem.

In this case, the ladder forms the hypotenuse of a right triangle, and the base of the wall and the height on the wall form the other two sides.

Let's denote the height on the wall as 'h'. According to the problem, one end of the ladder is 6 feet from the base of the wall, so the base of the triangle is 6 feet.

We can set up the equation using the Pythagorean theorem:

\((6)^2 + (h)^2 = (10)^2\)

Simplifying the equation:

36 + \(h^2\) = 100

\(h^2\) = 100 - 36

\(h^2\)= 64

Taking the square root of both sides:

h = √64

h = 8

Therefore, the top of the ladder touches a height of 8 feet on the wall.

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Answer: 30 degrees

Step-by-step explanation:

For each point, their position with respect to its location on the circle are as follows;

(4, 0) will be located inside the circle.

(-3, 3) will be located outside the circle.

(-2, -2) will be located on the circle.

In Mathematics, the standard form of the equation of a circle is represented by this mathematical expression;

(x - h)² + (y - k)² = r²

Where:

In this exercise, we would use an online graphing calculator to plot the equation of this circle as shown in the image attached below.

(x - 2)² + (y - 1)² = 25

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15 gallons of 30% butterfat cream must be mixed with milk.

How to solve word problems?

It's actually fairly easy to solve word problems using a tried-and-true step-by-step approach.

If m is the gallons of 30% butterfat cream, and c is the gallons of 3% butterfat milk, then:

Let m be the milk and c be the cream:

m + c = 45 ⇒ (i)

0.03m + 0.3c = 0.12 * 45 ⇒ (ii)

Solve the system of equations with substitution or elimination.  Using substitution:

0.30 m + 0.03 (45 − c) = 0.12 * 45

0.30 m + 1.35 − 0.03 c = 5.4

0.27 m = 4.05

m = 15

Hence, 15 gallons of 30% butterfat cream must be mixed with milk.

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To make a decision for the hypothesis test, we need to analyze the ANOVA summary table for the test of significance of the overall regression model.

From the table, we can see that the regression sum of squares (SS) is given as 20, and the residual sum of squares (SS) is given as 400. We also know that the total sum of squares (SS) is the sum of the regression SS and the residual SS.

Since the degrees of freedom (df) for the regression model is equal to the number of predictor variables (k) minus 1 (k - 1), and the df for the residual is the total sample size (n) minus the number of predictor variables (k), we can calculate the df for the regression and the residual.

Given that the sample size (n) is 45 and the number of predictor variables (k) is 4, we can calculate:

df for regression = k - 1 = 4 - 1 = 3

df for residual = n - k = 45 - 4 = 41

Next, we need to calculate the mean square (MS) for the regression and the residual by dividing the SS by their respective degrees of freedom.

MS for regression = SS for regression / df for regression = 20 / 3

MS for residual = SS for residual / df for residual = 400 / 41

Finally, we can calculate the F-statistic by dividing the MS for regression by the MS for residual.

F = (MS for regression) / (MS for residual)

Now, we can compare the calculated F-statistic to the critical F-value at the given significance level (α = 0.05). If the calculated F-statistic is greater than the critical F-value, we reject the null hypothesis. Otherwise, we fail to reject the null hypothesis.

Without the information of the critical F-value or the calculated F-statistic, we cannot make a definitive decision or final conclusion for the hypothesis test. Please provide the necessary values, and I will be able to help you with the decision and conclusion.

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Answer:

85 - 40 = 45 ÷ 3 weeks = $15

Answer:

undefined

Step-by-step explanation:

i think its undefined

The given statement a new real number, expressed in terms of a, that is both negative and greater than a is true.

This result contradicts the assumption that a is the greatest negative real number, making the assumption false and the given statement true.
An inequality is a relationship that shows a non-equal comparison between two numbers or mathematical expressions.
To get a new real number, expressed in terms of a, that is both negative and greater than a, we can consider the average of a and 0. This new real number can be expressed as (a + 0) / 2 or simply a / 2. Since a is negative, dividing it by 2 will result in a number greater than a but still negative.
Now, we can use this expression to fill in the blank in the inequality:
a < a/2 < 0

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The nine principles of inference are logical guidelines that let us draw reasonable conclusions from a set of assertions or propositions

So the nine principles of inference are logical guidelines that let us draw reasonable conclusions from a set of assertions or propositions. These guidelines are frequently used in mathematics, philosophy, and computer science to establish the veracity of claims or create new assertions from preexisting ones. These are the nine inference rules:

Modus Ponens (MP) states that if p implies q and p is true, q must also be true.

Modus Tollens (MT) states that if p implies q but q is untrue, then p is untrue.

Hypothetical Syllogism (HS): P implies R if and only if P implies Q and Q implies R.

Disjunctive Syllogism (DS): If p or q and p are both true, then q is true.

When adding (ADD), if p is true, p or q and these guidelines are frequently used in mathematics, philosophy, and computer science to establish the veracity of claims or create new assertions from pre existing ones. These are the nine inference rules.

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In spherical geometry, triangles are formed on the surface of a sphere rather than on a flat plane. This type of geometry is different from Euclidean geometry, which deals with triangles on a flat surface. In spherical geometry, the sum of the angles of a triangle is always greater than 180 degrees.

To investigate triangles in spherical geometry, we can perform an experiment using tape and a sphere. Let's consider three different triangles formed on the surface of a sphere.

Triangle 1:

Angle A: 60 degrees

Angle B: 70 degrees

Angle C: 80 degrees

Triangle 2:

Angle A: 50 degrees

Angle B: 90 degrees

Angle C: 100 degrees

Triangle 3:

Angle A: 45 degrees

Angle B: 75 degrees

Angle C: 60 degrees

Now let's calculate the sum of the measures for each triangle:

Triangle 1:

Sum = Angle A + Angle B + Angle C = 60 + 70 + 80 = 210 degrees

Triangle 2:

Sum = Angle A + Angle B + Angle C = 50 + 90 + 100 = 240 degrees

Triangle 3:

Sum = Angle A + Angle B + Angle C = 45 + 75 + 60 = 180 degrees

As we can see, in spherical geometry, the sum of the angles in Triangle 1 is greater than 180 degrees, while Triangle 2 has a sum greater than Triangle 1. However, Triangle 3 has a sum equal to exactly 180 degrees.

This result aligns with the fundamental property of spherical geometry, where the sum of the angles of a triangle is always greater than 180 degrees. In Euclidean geometry, the sum of the angles in a triangle is always equal to 180 degrees.

In conclusion, when investigating triangles in spherical geometry, we can form triangles on the surface of a sphere and measure their angles. The sum of the measures of the angles in a spherical triangle will always be greater than 180 degrees.

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Answer:

Step-by-step explanation:

True-False questions consists of 2 possible answer, which are 50% each, so basically is Charlie was just guessing 201 questions, which means his possibility of getting everything correct is \(\frac{1}{2^2^0^1}\), which is really small, his chance of getting 53,7% correct is \(\frac{1}{2^2^0^1 * 0.537}\) which is roughly arround \(\frac{1}{2^2^0^0}\)

The null and alternative hypotheses for a normally distributed population are H0: μ = μ0 and H1: μ ≠ μ0.

Let the symbol σ denote the population standard deviation of Friday afternoon cab-ride times. The null hypothesis (H0) is that the population mean is equal to a specific value, which is represented by μ0. So, the null and alternative hypotheses for a normally distributed population can be given as:

H0: μ = μ0

H1: μ ≠ μ0

The null hypothesis claims that there is no difference between the mean of the population and the hypothesized value. On the other hand, the alternative hypothesis claims that there is a difference between the mean of the population and the hypothesized value. The null and alternative hypotheses are tested using the significance level and p-value. If the p-value is less than the significance level, the null hypothesis is rejected.

In conclusion, the null and alternative hypotheses for a normally distributed population are H0: μ = μ0 and H1: μ ≠ μ0. The null hypothesis states that there is no difference between the population mean and the hypothesized value, while the alternative hypothesis claims that there is a difference between the population mean and the hypothesized value. These hypotheses are tested using the significance level and p-value.

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Therefore, the rank of matrix 'a' in this case would be 5.

To find the rank of a matrix, we need to perform row reduction to obtain its row echelon form (REF) or reduced row echelon form (RREF). However, since the matrix 'a' is not provided, I cannot perform the calculations or determine its rank.

The rank of a matrix is equal to the number of non-zero rows in its row echelon form or reduced row echelon form. If the system of equations 'ax = 0' has a two-dimensional solution space, it means that the rank of matrix 'a' is less than the number of columns (6) but greater than 4 (since the solution space is two-dimensional).

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The correct option is B, the average number of drops required to break open a whelk depend on platform height is the number of drops required decreases with increasing drop height.

The term "average" is commonly used in mathematics, statistics, and other fields to describe a central value of a set of data. In general, there are three types of averages: the mean, the median, and the mode.

The mean is the sum of all the values in a set divided by the number of values. It is commonly used to describe the average score of a group of students, the average temperature of a region, or the average income of a population. The median is the middle value in a set of data when it is arranged in order. It is commonly used to describe the typical salary of a company, the median age of a population, or the median price of a house.

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Complete Question:-

How does the average number of drops required to break open a whelk depend on platform height?

a. the number of drops required decreases with increasing drop height, but only for heights greater than 5 meters.

b. the number of drops required decreases with increasing drop height.

c. the number of drops required does not change with drop height.

d. the number of drops required increases with increasing drop height.

Answer:

t = 6.3

Step-by-step explanation:

t = 13\(\frac{3}{4}\) - 7.45

t = \(\frac{55}{4}\)-7.45

t= 13.75 - 7.45

t = 6.3

Answer:

T would equal 6.3

Step-by-step explanation:

You can start out by converting 13 3/4 to a decimal, which would be 13.75.

Therefore leaving you with this equation:

t + 7.45 = 13.75

Next, you subtract.

t + 7.45 = 13.75

   -7.45    -7.45

---------------------------

Therefore leaving you with your answer of 6.3 or 6 3/10. I hope this helps!  :)

Answer:

x = -2

\((2/3)^{(x-1)} = \frac{27}{8}\)  

Step-by-step explanation:

you have to use logs here

\(ln((2/3)^{x} ) =ln(27/8)\\x ln((2/3) ) =ln(275/8)\\\\\)

x-1  =ln(27/8)/ ln(2/3)

x -1  = -3

x = -2

Answer:

Step-by-step explanation:

Answer:

True because when you multiply the 2 by everything in the parentheses you get 4x + 6y which is 4x + 6y = 4x + 6y. and when you solve it you'll get 0 = 0

Step-by-step explanation:

Answer:

2×2x +2×3y=

4x+6y

Step-by-step explanation:

you first clear the bracket as i have shown above

you use the one outside the bracket to multiply the ones inside the bracket and when you multiply you get 4x+6y

Answer:

answers are below

Step-by-step explanation:

5*1.6=8

10*1.6=16

w*1.6=1.6w

15*1.6=24

hope this helps:)

Answer:

12.5%

Step-by-step explanation:

\(\frac{10}{80} =\frac{x}{100}\)

Cross multiply

80x = 1000

Divide both sides by 80

80x/80 = 1000/80

x = 12.5

Hope this helps and pls do mark me brainliest if you can:)

Micah's boxplot is incorrect because the statistical summary given by his boxplot is inaccurate.

The boxplot is a better at analysing the data as it gives more statistical output of the data than the histogram.

We need to write out the number of times taken by each student,

From the histogram; the data values are :

1, 1, 1, 2, 2, 2, 3, 3, 3, 4, 4, 5, 5, 7, 7, 8, 8, 9, 9, 10, 10, 10

Using a boxplot maker or excel, we could create a boxplot of the data and compare with that given in the question.

5 number summary of Micah's boxplot :

Minimum = 1 (position of lower whisker)

Maximum = 9 (Position of upper whisker)

Lower quartile = 3(starting point of box)

Upper quartile = 8 (endpoint of box)

Median = 5 (vertical line in between box)

Outlier = 10

5 number summary of correct or accurate boxplot :

Minimum = 1 (position of lower whisker)

Maximum = 10 (Position of upper whisker)

Lower quartile = 2 (starting point of box)

Upper quartile = 8.2 (endpoint of box)

Median = 4.5 (vertical line in between box)

Outlier = None

Comparing the box plots, it can be concluded that Micah did not create the boxplot correctly.

Answer:6.4 times

Step-by-step explanation: 160 divided by 25 is 6.4

Answer:

It would cost $2.40 because 1 pound is $2.40

Step-by-step explanation:

When population variances are unknown but assumed to be equal, the formula for a confidence interval for the difference in population means might include a pooled estimate of the common variance. This statement is true.

When the population variances are unknown but assumed to be equal, a pooled estimate of the common variance can be used in the formula for a confidence interval for the difference in population means. The pooled estimate of the common variance is calculated by combining the sample variances from two independent samples, taking into account the degrees of freedom for each sample.

The formula for a confidence interval for the difference in population means when population variances are unknown but assumed equal is:

\($\large (\bar{X}_1 - \bar{X}2) \pm t{\alpha/2, s_p} \sqrt{\frac{1}{n_1} + \frac{1}{n_2}}$\)

where \($\large \bar{X}_1$\) and \($\large \bar{X}_2$\) are the sample means for two independent samples, \(n_1\), and \(n_2\) are the sample sizes for the two samples, s_p is the pooled estimate of the common variance, \($\large t_{\alpha/2}$\) is the t-value corresponding to the desired level of confidence, and sqrt is the square root.

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