write an equation of a line that passes through (-4, 4) and is parallel to the line y=1/2x+1

The correct option is b. mutually exclusive. two events for which the intersection is the null set are called mutually exclusive.

Mutually exclusive events are events that cannot occur simultaneously. The occurrence of one event means the other event cannot occur. The intersection of mutually exclusive events is always an empty set because they cannot have any outcomes in common. For example, rolling a 1 on a die and rolling a 2 on the same die are mutually exclusive events because they cannot occur at the same time. The intersection of rolling a 1 and rolling a 2 is the null set because they have no outcomes in common. In contrast, independent events can occur simultaneously and their intersection is not necessarily empty. For instance, rolling a 1 on one die and rolling a 2 on another die are independent events, and their intersection is not the null set.

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Answer:

V = 317 units³

Step-by-step explanation:

\(V = \frac{1}{3}(\frac{1}{2}bh_1)h_2\\b = 8\\h_1 = 14\\h_2 = 14\\V = \frac{1}{3}(\frac{1}{2}(8)(14))(17)\\V = 317units^{3}\)

Answer:

\(\huge\boxed{c=17\ ft}\)

Step-by-step explanation:

Use the Pythagorean theorem:

\(leg^2+leg^2=hypotenuse^2\)

We have:

\(leg=15ft\\leg=8ft\\hypotenuse=c\)

Substitute:

\(c^2=15^2+8^2\\\\c^2=225+64\\\\c^2=289\to c=\sqrt{289}\to c=17(ft)\)

Answer:

A.) 132.3 mm Hg

B.) 49 years old

Step-by-step explanation:

\(P= 0.006y^{2} -0.01y+119\)

P = blood pressure

y = age in years

A.) Solution

To find: P

Given: y = 48

\(P= 0.006y^{2} -0.01y+119\)

P = 0.006 x 48 x 48 - 0.01 x 48 + 119

P = 0.006 x 2,304 - 0.48 + 119

P = 13.824 - 0.48 + 119

P = 132.344 ⇒ 132.3

B.) Solution

To find: y

Given: P = 132.92

\(P= 0.006y^{2} -0.01y+119\)

\(132.92= 0.006y^{2} -0.01y+119\)

\(0.006y^{2} -0.01y-13.92\)

.......................................................

Answer: 49 years old

Answer:

Thanks for the points- but im a duma$s

Step-by-step explanation:

Step-by-step explanation:

first inequality :

x + 2y ≥ 10

second inequality :

x - y ≤ -2

Answer:it might be (F)

Step-by-step explanation:

Tell me if I’m right or wrong

Each time X increases, there is a perfectly predictable increase in Y  is indicated by a Pearson correlation of r= +1.00 between X and Y

A Pearson correlation coefficient of +1.00 indicates a perfect positive linear relationship between the variables X and Y. It means that as X increases, Y increases in a perfectly predictable manner. The correlation coefficient of +1.00 indicates a strong and direct relationship between the two variables, where the values of Y can be precisely determined based on the values of X.

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The researchers should perform a paired t-test on the weight measurements of the 50 randomly selected dieters before and after 6 weeks on the diet.

What is paired t-test?

A paired t-test is suitable for analyzing data when each subject's measurements are taken at two different time points or conditions. In this case, the weight measurements of the dieters were taken before they started the diet (time point 1) and after 6 weeks on the diet (time point 2).

By using a paired t-test, the researchers can compare the mean weight before and after the diet to assess if there is a significant difference. The paired t-test takes into account the within-subject correlation, making it appropriate for paired data analysis.

The paired t-test calculates the t-statistic by comparing the mean difference between the paired measurements to the null hypothesis of no difference (mean difference = 0). The calculated t-value can then be compared to the critical values from the t-distribution to determine the statistical significance of the weight change.

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Answer:

ok so if the scale is 2:49 that can be simplified as 1:98

so that means the real one is 98 times bigger then 24

98*24= 2352 cm or 196 feet

Answer:

3<x<34

Step-by-step explanation:

(Big side to big angle)

Solution: 27>26 => 93°>3x - 9°

102°>3x

34>x

HOPE THIS HELPS AND HAVE A NICE DAY <3

The least positive integer multiple of 30 that can be written with only the digits 0 and 2 is 2220.

We can approach this problem by observing that a multiple of 30 must be divisible by both 2 and 3. A number is divisible by 2 if its last digit is even, which in this case means it must be 0 or 2. A number is divisible by 3 if the sum of its digits is divisible by 3.

The last digit of multiple of 30 is 0.

Since the sum of the digits must be divisible by 3, the digit 2 should be at least 3.

Let's check the following number that satisfies the above conditions:

2220

The sum: 2 + 2 + 2 + 0 = 6 (divisible by 3)

Let's check whether 2220 is a multiple of 30,

2220 : 30 = 74

Hence, it is a multiple of 30.

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The expression equivalent to -(4 - 3) is −2^2+3.

An expression is a number, variable, or a combination of numbers and varialbles and operation symbols.

Now, the given expression is,

−(4−3)

To find its equivalent let us first solve this expression, so

−(4−3) = -4 + 3

So, −(4−3) = -1

Now again find the values of given expressions,

−3+2^2

= -3 + 4

=  1

Hence, this is not equivalent to −(4−3) .

Similarly, ​−2^2−3​

=  4-3

= 1

Hence, this is also not equivalent to −(4−3) .

Similarly, −2^2+3

=  -4+3

=  -1

Hence, this is equivalent to −(4−3) .

Similarly,−3−2^2

=  -3-4

=  -7

Hence, this is also not equivalent to −(4−3) .

Therefore the expression equivalent to -(4 - 3) is −2^2+3.

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Answer: −2^2+3

Step-by-step explanation:

i took the quiz

Answer:

b.

This may be the complete question:

Wanda is a nurse at a busy city hospital. What qualities might help Wanda in her career?

a. Wanda is task oriented and likes to be alone.

b.  Wanda has a lot of energy and is a good multitasker.

c. Wanda has remarkable typing skills and does well with computers.

d. Wanda has very good concentration skills and likes to create things with her hands.

Answer: b.

If the direction of the line in coordinate form passing through the point (-3, -6,6)  is j, then the line is parallel to the y-axis, the final coordinate form is l(t) = (-3, 4t - 6, 6)

The x-coordinate and z-coordinate of any point on the line will be the same as the x-coordinate and z-coordinate of the given point (-3, -6, 6), respectively. The y-coordinate of any point on the line will be equal to -6 plus some multiple of the direction vector j, which has coordinates (0, 1, 0). Therefore, the line can be described by the following coordinate form:

l(t) = (-3, -6 + t, 6)

where t is any real number representing the parameter that moves along the direction of the line. To write this in a more simplified form, we can rewrite the y-coordinate as -6 + t = 4t - 6, since we want to write it in terms of the direction vector j. Therefore, the final coordinate form of the line passing through (-3, -6, 6) in the direction of j is:

l(t) = (-3, 4t - 6, 6)

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It's important to note that the logarithm function is defined only for positive values of x.  f(10) = log(10) ≈ 1.000.

To evaluate f(x) = log(x) at a given value of x, you need to input that value into your calculator and then apply the logarithm function to it. For example, let's say you want to evaluate f(x) = log(x) at x = 10. Here's how you would do it:

1. Input 10 into your calculator.
2. Press the "log" button to apply the logarithm function.
3. Your calculator should display the result, which is approximately 1.000 (rounded to three decimal places).

So, f(10) = log(10) ≈ 1.000.

It's important to note that the logarithm function is defined only for positive values of x. If you try to evaluate f(x) = log(x) at a negative value of x, your calculator will give you an error message.

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Answer:

\(\frac{2x}{5} - \frac{3}{5}\)

The volume of the solid obtained by rotating the region bounded by the curves y = 1/x5, y = 0, x = 1, and x = 8, about y = -2 is 4214.07 cubic units

To find the volume of the solid obtained by rotating the region bounded by the curves y = 1/x5, y = 0, x = 1, and x = 8, about y = -2, we need to use the method of cylindrical shells.

We can integrate the volume of the shells from x = 1 to x = 8. Since the axis of rotation is located at y = -2, we need to add 2 to the formula for the radius, which is x.

To integrate the volume of the shells, we can use the formula:

V = ∫(2πrh)dx

where r = x + 2h = 1/x5

Since the limits of integration are from x = 1 to x = 8, we have:

V = ∫1/x5(2π(x + 2))(dx)

from 1 to 8 = ∫16(2π(x + 2))(dx)

from 1 to 8= 32π∫(x + 2)(dx)

from 1 to 8= 32π[(1/2)(x² + 4x)]

from 1 to 8= 32π[(1/2)(8² + 4(8)) - (1/2)(1² + 4(1))]= 32π[128 + 12 - 2 - 4]= 32π[134]= 4214.07

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Answer:

c = -22, 22

Step-by-step explanation:

\( {(x - 11)}^{2} = {x}^{2} - 22x + 121\)

\( {(x + 11)}^{2} = {x}^{2} + 22x + 121\)

Answer:

false

Step-by-step explanation:

The expression for temperature change in City A is 9 + (-8)

The amount the temperature changes for City A = 1°F

The expression for temperature change in City B is -1 + (-3) = -4°F

The amount the temperature changes for City B = -4°F

Based on the available data:

The expression for that represents the temperature change from 8 am to 10 am is, therefore;

The temperature change from 8 am to 10 am are

Sum, change from 8 am to 10 am = 9 + (-8) = 1°F

The temperature change from 8 am to 10 am are

Sum, change from 8 am to 10 am = -1 + (-3) = -4°F

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Answer:

868412

Step-by-step explanation:

434206x2=868412

Answer:

\(\dfrac{1}{729}\)

Step-by-step explanation:

\(\left(\dfrac{}{}(-3)^2\dfrac{}{}\right)^{-3}\)

First, we should evaluate inside the large parentheses:

\((-3)^2 = (-3)\cdot (-3) = 9\)

We know that a number to a positive exponent is equal to the base number multiplied by itself as many times as the exponent. For example,

\(4^3 = 4 \, \cdot\, 4\, \cdot \,4\)

       ↑1 ↑2 ↑3 times because the exponent is 3

Next, we can put the value 9 into where \((-3)^2\) was originally:

\((9)^{-3}\)

We know that a number to a negative power is equal to 1 divided by that number to the absolute value of that negative power. For example,

\(3^{-2} = \dfrac{1}{3^2} = \dfrac{1}{3\cdot 3} = \dfrac{1}{9}\)

Finally, we can apply this principle to the \(9^{-3}\):

\(9^{-3} = \dfrac{1}{9^3} = \boxed{\dfrac{1}{729}}\)

Answer:

1/16.4616

Step-by-step explanation:

(1.9^2*2.4^-3) (1.9^3*2.4^-2)^-3

(1.9^2*2.4^-3) * 1 / (1.9^3*2.4^-2)^3

1.9^2*2.4^-3 / (1.9^3*2.4^-2)^3

1.9^2 * 1 / 2.4^3 ÷ (1.9^3* 1 / 2.4^2)3

1.9^2 / 2.4^3 × (2.4^2/1.9^3)^3

(1/2.4) (1/1.9)^3

(1/2.4) (1/6.859)

1/16.4616

Answer:

0

Step-by-step explanation:

because they are heading in the same direction

mr george washington