Austin left for school at 7:35
a.M.He arrived at school 15 minutes later.What time did Austin arrived at school?

The angle sum property of a triangle states that:

Sum of three angles of a triangle is 180 degrees.

Now we are given a right angled triangle here.

The question can be described as shows in figure.

Here ABC is a triangle right angles at B.

The other angle is 58 degrees.

Using angle sum property:

∠A + ∠B +∠C =180

let ∠A = 58° and ∠B =90°

So we have ,

58° + 90° +∠C =180

148°+∠C=180°

∠C = 32°

Answer : Angle C is 32 degrees.

Option A is correct choice

The derivative of a constant is zero can be understood by comparing it to traveling at a constant speed, where there is no change or acceleration, hence a rate of change of 0. This is analogous to the slope of a horizontal line (representing a constant function) on a graph, which is also 0.

Using real-life quantities, one can justify that the derivative of a constant is 0 by considering the concept of speed. Imagine you are traveling in a car at a constant speed of 60 km/h. The speed does not change over time, meaning there is no rate of change or acceleration. In terms of calculus, this constant speed (constant function) has a rate of change of 0, which is its derivative.

The derivative, in a broader sense, measures the rate of change of a quantity. A constant value does not change, and hence its rate of change, or derivative, is 0. This concept can be geometrically represented as the slope of a line on a graph. A constant function graphs to a horizontal line where the slope, or rise over run, equals 0. Thus, similar to the constant speed with no change, the derivative of any constant value is always zero.

Answer:

C. 24

Step-by-step explanation:

ED2021

Answer:

A, C, C

Step-by-step explanation:

Some other dude answered it. I just simplified his answer.

The numbers arranged from least to greatest will be -0.4, -1.33, 0.8, 1.41, and 3.32.

It is the order of the numbers in which a smaller number comes first and then followed by the next number and then the last number will be the biggest one.

The decimal number is the sum of a whole number and part of the fraction number. The fraction number is greater than zero but less than one.

The numbers are given below.

√11, -0.4, (-4/3), 0.8, √2

Convert all the numbers into decimal form, then we have

√11, -0.4, (-4/3), 0.8, √2

3.32, -0.4, -1.33, 0.8, 1.41

Then the numbers arranged from least to greatest will be -0.4, -1.33, 0.8, 1.41, and 3.32.

More about the ascending order link is given below.

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To determine which of the following monomial function has a maximum value, you have to assume the value of x. Let us say the value of x is 2. Substitute 2 for all x’s in the monomial function.

Answer:

[tex]y=-5x^4[/tex]

Step-by-step explanation:

Remember that a maximum value (global) of a function is the bigest value that the function takes.

For see the values of the functions you can see its graphs.

I have uploaded the graphs of the functions in the question and you can see it, and then convince yourself why the answer is y=-5x^4.

Also you have the fact that the functions of the form [tex]y=kx^n [/tex] have a maximum value only if   [tex]n[/tex] is an even natural number and k is a negative real number.

Answer:

The cost of the gallon of the apple juice is approximately $1.51 in 1990. (Option C)

Step-by-step explanation:

As it can be assumed that the increase of the gallon of apple juice is proportional to the increase of the CPI, we can state that the rate of the price of 1990 to the price of 1980 is the same than the rate of the CPI in 1990 to the CPI in 1980:

$130.7 / $82.4 = Pg (1990)/ $0.95

Where Pg (1990) is the apple juice gallon cost for 1990. By solving the equation above:

$130.7 / $82.4 * $0.95 = Pg (1990)

Pg (1990) = $1.5068 ---> Pg (1990) = $1.51

Final answer:

Victor's monthly payment for the $6800 loan at 13.5% APR over 3 years is approximately $227.46.

Explanation:

To calculate Victor's monthly payment for a loan of $6800 at an APR of 13.5% over 3 years, we need to first convert the annual rate to a monthly interest rate. This is done by dividing the APR by 12 (months in a year). So, the monthly interest rate is 13.5% divided by 12, which is approximately 1.125% per month or 0.01125 in decimal form.

Next, we use the formula for an amortizing loan payment:

P = (Pv*r) / (1 - (1+r)⁻ⁿ)

Where P is the monthly payment, PV is the present value or the amount of the loan, r is the monthly interest rate in decimal form, and n is the total number of payments (months).

For Victor's loan, we have:

Present Value (PV) = $6800
Monthly Interest Rate (r) = 0.01125
Total Number of Payments (n) = 3 years * 12 months/year = 36 months

Substituting the given values into the formula yields:

P = ($6800 * 0.01125) / (1 - (1+0.01125)⁻³⁶)

Calculating the above expression, we find that Victor's monthly payment is approximately $227.46, which is one of the options given.

Answer:

this guy should not be certified, it's savings bond just had the question

A P E X

Hence, the difference in mean is represented as:

                         12=2.5×5

where 5 is the range and 12 is the difference in the mean.

Shade plant Height (in.)

7    11     11      12      9      12      8     10

Minimum value=7

and Maximum value=12

Range=Maximum value-Minimum value

This means that Range is: 12-7=5

Also, the mean is calculated as follows:

[tex]Mean=\dfrac{7+11+11+12+9+12+8+10}{8}\\\\\\Mean=\dfrac{80}{8}\\\\\\Mean=10[/tex]

Sun Plant heights (in.)

21    24    19    19     22    23    24    24

Minimum value=19

and Maximum value=24

Range=Maximum value-Minimum value

This means that Range is: 24-19=5

Also, the mean is calculated as follows:

[tex]Mean=\dfrac{21+24+19+19+22+23+24+24}{8}\\\\\\Mean=\dfrac{176}{8}\\\\\\Mean=22[/tex]

Difference in mean is: 22-10=12

Also, the range of both the set is:  5

Hence, the difference in mean could be expressed as:

       12=5×n

Hence, n=2.5

The expression (12 = 5×2.4) represents the difference in the means as a multiple of their ranges if the mean for the first data set is 10 and for the second data set is 22.

It is defined as the single number that represents the mean value for the given set of data or the closed value for each entry given in the set of data.

For the first data:

The mean can be calculated as follows:

[tex]\rm Mean = \frac{\sum x}{n}[/tex]

[tex]\rm Mean = \frac{7 + 11+ 11+ 12 + 9+ 12+ 8+ 10}{8}[/tex]

Mean(1st data set) = 10

For range:

The minimum value in the data set = 7

The maximum value in the data set = 12

Range = 12 - 7 ⇒ 5

For the second data set:

The mean can be calculated as follows:

[tex]\rm Mean = \frac{\sum x}{n}[/tex]

[tex]\rm Mean = \frac{21 + 24 + 19 + 19 + 22 + 23 + 24 + 24}{8}[/tex]

Mean(2nd data set) = 22

For range:

The minimum value in the data set = 19

The maximum value in the data set = 24

Range = 24- 19 ⇒ 5

Difference in means = 22 - 10 ⇒  12

Since the range is the same for both the data set.

From the problem:

12 = 5×n

n = 2.4

Thus, the expression (12 = 5×2.4) represents the difference in the means as a multiple of their ranges if the mean for the first data set is 10 and for the second data set is 22.

Learn more about the mean here:

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Its not b but if I had to guess I would say c

Answer:

The size of the garden increases by 48 square feet.

Step-by-step explanation:

Hit that thanks button and vote so I can answer more questions! :)

Answer:

The answer is C or 48 square feet

Step-by-step explanation:

Answer:

[tex]m\angle P=12^{\circ}[/tex]

Step-by-step explanation:

Two triangles are similar if their angles are equal one to one.

So:

[tex]m\angle P= m\angle S\\m\angle Q= m\angle T\\m\angle R= m\angle U[/tex]

Also, the problem provided this data:

[tex]m\angle T= 6(m\angle P)[/tex]

As you may know, the sum of the interior angles of a triangle is equal to 180, so:

[tex]m\angle S+m\angle T + m\angle U=180\\\\Where:\\\\m\angle T=6(m\angle P)\\\\So:\\\\m\angle S+6(m\angle P) + m\angle U=180[/tex]

and:

[tex]m\angle P=m\angle S\\\\Hence\\\\m\angle S+6(m\angle S) + m\angle U=180\\\\7(m\angle S) + m\angle U=180\\\\7(m\angle S) + 96=180[/tex]

Solving for [tex]m\angle S[/tex]

[tex]m\angle S =\frac{180-96}{7} =12^{\circ}[/tex]

Since:

[tex]m\angle P= m\angle S=12^{\circ}[/tex]

Therefore [tex]m\angle P=12^{\circ}[/tex]

The best answer for this question would be:

D. 32

In order to get this, you have to get the sum in the line, which is the first four people. So the solution would be: 4(23) = 92

For getting the sum of the people in the last 3 would be: 3(34) = 102

Next is the sum of everyone which the solution would be: 6(27) = 162

So the initial solution that we have now would be: F + 92 - F + 102- F = 162

- F + 194 = 162

- F = 162 - 194

- F = - 32

The (F) here or the fourth person’s age would be= -32 / - 1 or 32