if the measure of an angle is 38 find the measure of ots complement

Answer: 2 BATCHES

Step-by-step explanation: to produce one batch it takes 1/4 of oatmeal

Now the factory uses 1/2 batch of oatmeal

1=1/4 OATMEAL

X=1/2 OATMEAL

X=(1/2*1)/1/4

=1/2*4/1

=4/2

=2

The probability of rolling a sum of 5 with two dice is 1/9, as there are 4 favorable outcomes out of the 36 possible outcomes when rolling two dice.

The student asked about the probability of rolling a sum of 5 using two fair, six-sided dice (also known as number cubes). To find this probability, we need to consider all possible outcomes that result in a sum of 5 and divide it by the total number of possible outcomes when rolling two dice.

By examining the possible ways to get a sum of 5, we have the following pairs: (1,4), (2,3), (3,2), and (4,1). There are 4 favorable outcomes. Since each die has 6 faces, there are a total of 6 x 6 = 36 possible outcomes when rolling two dice. Thus, the probability of rolling a sum of 5 is 4/36, which reduces to 1/9.

To conclude, the probability to roll a sum of 5 on two dice is 1/9.

After purchasing the festival ticket, Staci has $112.04 remaining from her $200 budget. Each T-shirt costs $30, so she can buy a maximum of 3 T-shirts.

The student asked how many
T-shirts Staci can purchase at a music festival considering she has a budget of $200, and she also needs to buy a ticket and possibly T-shirts for her friends.

First, we need to subtract the cost of the festival ticket from Staci's total budget which is $200.00 - $87.96 = $112.04 remaining. Now, if each T-shirt costs $30.00, we can find the maximum number of T-shirts she can purchase by dividing the remaining money by the cost of one T-shirt.

$112.04 / $30.00 = 3.734.

Since Staci cannot buy a fraction of a T-shirt, she can purchase a maximum of 3 T-shirts with the remaining budget.

Answer:

B) The initial value is 22, and the rate of change is 15.

Step-by-step explanation:

The first point is located at (22, 54).  This means the initial value is 22.

The rate of change is found using the formula

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Using the first two points, we have

[tex]m=\frac{69-54}{37-22}\\\\=\frac{15}{15}=1[/tex]

Answer:

Step-by-step explanation:

The maximum value can reach $74, 800 if Dave Dies.

Insofar as they use compound interest, life insurance premiums are equivalent to bank interest rates. We may use the exponential growth formula to get the insurance policy payout because they are compound interests. Those being the following,

Given:

T = [tex]a(1+r)^t[/tex]

Where:

T is the final payout, a is the initial amount, r is the interest rate in decimal form and t is the time.

So, T = [tex]2200000(1+ 0.034)^t[/tex]

let Dave dies after 2 years of buying his life insurance the beneficiaries will get the following payout.

T = [tex]2200000(1+ 0.034)^2[/tex]

T= 2200000 ( 1.069156)

T = $23,52,143.2

So, the maximum value can reach $74, 800.

Learn more about Exponential Growth here:

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Morgan rode her bike a total of 4600 meters after combining the distances from her house to her friend's, to and from the library, and back to her house.

To determine how many meters Morgan cycled in total, we first need to convert all distances into the same unit. Morgan rode 2 kilometers from her house to her friend's house, which is equal to 2000 meters. Then, she rode 600 meters in total going to and from the library. Since she needs to return home, she would ride the initial 2000 meters back. Therefore, the total distance Morgan cycled is the sum of these three distances.

Calculation

Distance from home to friend's house: 2000 meters

Traveling to and from the library: 600 meters

Distance from friend's house back to home: 2000 meters

Adding these distances gives us the total distance Morgan rode:

Total Distance = 2000m + 600m + 2000m = 4600 meters.

Answer:18:19

Step-by-step explanation:

Jared is correct because the volume of a cone that has the same base and height as a cylinder is one-third the volume of the cylinder. This is due to the 1/3 factor in the formula for the volume of a cone. Therefore, the cone would indeed hold about 1,178 cm³ of sand.

Jared is indeed correct in his statement. The volume of a cone is found by using the formula 1/3 * base area * height, while the volume of a cylinder is found by using the formula base area * height. In this case, both the cone and the cylinder have the same base and height. However, the key difference lies in the 1/3 factor of the formula for a cone. This means that a cone with the same base and height as a cylinder would hold only one-third the volume of the cylinder.

In this case, the cylinder can hold about 4,712 cm³ of sand. As the cone is one third the size of the cylinder, it can hold about 1,178 cm³, which is precisely one third of the cylinder's volume, thus Jared's statement is correct.

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The point (3.4, 1.2) lies on the circle with center at (1, -2) and radius of 4, as the distance from the point to the circle's center is exactly equal to the circle's radius.

The question asks if the point (3.4, 1.2) lies on a circle with a center at (1, -2) and a radius of 4. To determine this, we can use the distance formula, which calculates the distance between two points in a coordinate plane. The distance formula is √((x_2 - x_1)^2 + (y_2 - y_1)^2), where (x_1, y_1) and (x_2, y_2) are the coordinates of the two points. In this case, the center of the circle is (1, -2) and the point in question is (3.4, 1.2).

To see if the point lies on the circle, we check if the distance from the point to the center equals the circle's radius. Calculating: √((3.4 - 1)^2 + (1.2 - (-2))^2) = √((2.4)^2 + (3.2)^2) = √(5.76 + 10.24) = √16 = 4. Since this distance is exactly 4, which is the circle's radius, the point (3.4, 1.2) does indeed lie on the circle.

Answer:

c

Step-by-step explanation:

It's C because if you look at the day and night students, the mean score for the day students was actually higher then the mean score for the night student.

Answer: C

Step-by-step explanation: