An isosceles triangle has two equal sides called legs and the base. if each leg of the isosceles is 5 times the base and the perimeter is 77 m. What is the lenghth of each side?

Answers

Answer 1

Answer: -35
-35
-7

7x5=35
35+35+7=77

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Short-term classes: Does taking a class in a short-term format (8 weeks instead of 16 weeks) increase a student’s likelihood of passing the course? For a particular course, the pass rate for the 16-week format is 59%. A team of faculty examine student data from 40 randomly selected accelerated classes and determine that the pass rate is 78%. Which of the following are the appropriate null and alternative hypotheses for this research question?a.H0: p = 0.59; Ha: p ≠ 0.59
b.H0: p = 0.59; Ha: p > 0.59
c.H0: p = 0.78; Ha: p ≠ 0.78
d.H0: p = 0.78; Ha: p > 0.59

Answers

Answer:

Option b

Step-by-step explanation:

Given that For a particular course, the pass rate for the 16-week format is 59%. A team of faculty examine student data from 40 randomly selected accelerated classes and determine that the pass rate is 78%.

we have to find whether taking a class in a short-term format (8 weeks instead of 16 weeks) increase a student’s likelihood of passing the course

Since pass rate for 16 weeks is 59% we check whether for 8 weeks is more than this.

So correct null and alternative hypotheses for this research question

would be:

b.H0: p = 0.59; Ha: p > 0.59

Option b is right.

Write a system of equations to describe the situation below, solve using substitution, and fillin the blanks.Nora, an office manager, needs to find a courier to deliver a package. The first courier she isconsidering charges a fee of $14 plus $5 per kilogram. The second charges $15 plus $4 perkilogram. Nora determines that, given her package's weight, the two courier services areequivalent in terms of cost. What is the weight? How much will it cost?

Answers

The first courier service cost is;

$5x+14$

Where, x is the number of kilograms delivered;

The second courier service cost is;

$4x+15$

Equating it, we have;

$\begin{gathered} 5x+14=4x+15 \n x=1 \end{gathered}$

Thus, the weight that will result in equal cost is 1 kilogram.

And the cost is 5( 1 )+14 = $19

Sam baked 6 cupcakes less than Michelle. Sam baked 18 cupcakes. Which equation will tell you how many cupcakes Michelle baked?

Answers

Michelle baked 12 cupcakes

(Michelle's cupcakes) minus 6 equals 18

The quadratic function f(x) has a vertex at (9, 8) and opens upward. If g(x) = 4(x − 8)2 + 9, which statement is true?A.
The maximum value of f(x) is greater than the maximum value of g(x).
B.
The maximum value of g(x) is greater than the maximum value of f(x).
C.
The minimum value of f(x) is greater than the minimum value of g(x).
D.
The minimum value of g(x) is greater than the minimum value of f(x).

Answers

ANSWER

D.
The minimum value of g(x) is greater than the minimum value of f(x).

EXPLANATION

It was given that;

$f(x)$
has a vertex at

$(9,8)$

and opens upwards.

This means that f(x) is a minimum graph and hence have a minimum value of 8.

Also ,

$g(x) = 4 {(x - 8)}^(2) + 9$

When we compare this function to

$y = a {(x - h)}^(2) + k$

We can see that,a=4, h=8 and y=9.

The vertex is

$(8,9)$

Since a>0, the graph opens upwards.

The graph has a minimum point which is (8,9) and hence the minimum value is 9.

We can see that, the minimum value of g(x) is greater than the minimum value of f(x).

Therefore the correct answer is D.

13. points help meeeeee

Answers

Answer: A

Step-by-step explanation:

For this problem, we can automatically eliminate B and D. We know this because of the inequality. The inequality is less than or equal to. anything that has an equal to sign is a solid line because any point on the line itself is a solution. If it was a < sign, it shows that the solution is less than, and not equal to. Therefore, the line would be dotted/dashed.

Now that we have figured out what type of line we have, we can see where the shading is located. To do so, we must make all the same variables go on the same side to see the equation.

y ≤ x²-4x+2

From this, we see that y is less than or equal to. This tells us that the shading is under the line. Under the line, y goes towards negative infinity, which makes y less than the line. Above the line, y goes towards positive infinity, which makes y greater than the line. That would make the inequality y≥x²-4x+2. Therefore, A is the correct answer.

It’s either A or B because it has the greater than OR equal to symbol

Write and solve an equation to find the value of x. PLS HELP!!