Wolves have good endurance and have been known to travel long distances-up to about 60 miles-in one night.If a wolf trots 18 4/5 miles in 2 1/3 hours,what is its speed?

A

note that r = 3.75% = 0.0375

A(9) = 10500 × [tex]e^{0.0375(9)}[/tex] = 10500 × [tex]e^{0.3375}[/tex] = 14, 715.12

We are given formula for continuous change function A(t) = Pe^rt.

We need to find the value of $10,500 investment amount grows 3.75% each year after 9 years.

Plugging values of P=10500

r= 3.75% = 0.0375 and

t=9 in given formula.

We get

[tex]A(9) = 10500e^{0.0375\times 9}[/tex]

Let us simplify it now.

[tex]e^{0.0375\times 9}=e^{0.3375}=1.40144[/tex]

[tex]=10500\times \:1.40144\dots[/tex]

[tex]\mathrm{Multiply\:the\:numbers:}\:10500\times \:1.40144\dots =14715.11589\dots[/tex]

Rounding it to the nearest cents.

=14715.12.

The third angle of the triangle will be the supplement of the sum of the given angles. In order for the triangle to be isosceles, two of the three angles must have the same value.

a) 180 -40 -75 = 65 . . . not isosceles

b) 180 -30 -100 = 50 . . . not isosceles

c) 180 -35 -70 = 75 . . . not isosceles

d) 180 -50 -80 = 50 . . . matches one of the other angles. This triangle is isosceles.

The appropriate choice is ...

... 50 and 80

i think it will be c not really 100 percent sure

Answer:

C 767

Step-by-step explanation:

2031 ÷ 3 = 767

and took test

The first question probably has a drawing that is not included. Can you please include whatever drawing cam with it?

The Qeustion 2:

starting with writing the complementary angles:

The angles <a and <b being complementary means that

<b = 180 - <a

The angles <b and <c are complementary - that means

<c = 180 - <b

now plug in the first equation for <b to get:

<c = 180 - (180 - <a) = 180-180+<a= <a

so

<c = <a

which was to be proved!

Final answer:

To find the radius of a circle, use the formula A = πr² and solve for r by dividing the area by π and then taking the square root of the result.

Explanation:

The radius of a circle can be found using the formula for the area of a circle, A = πr².

Given A = 324π cm², substitute this value into the formula: 324π = πr².

Solve for r by dividing both sides by π: r² = 324, r = √324, r = 18 cm.

Answer:

1. B) 7

2. B) {y|y ≤ -1}

Step-by-step explanation:

1. Put -4 where x is in the function definition and do the arithmetic.

... 3 - (-4) = 3 +4 = 7

2. If the maximum function value is -1 and the values extend to -∞ from there, then the range is (-∞, -1]. In your notation, that is ...

... {y | y ≤ -1}

B and B

f(x) → 3 - x

to evaluate f(- 4 ) substitute x = - 4 into f(x)

f(- 4 ) = 3 - (- 4 ) = 3 + 4 = 7 → B

the range of a function are the values of y for the function

this function ( probably quadratic ) has a vertex at (0, - 1), that is the y-value is - 1

Since the function opens down then the values of y are tending to negative infinity

so the range of values for y are less than or equal to - 1 to negative infinity

{y | y ≤ - 1 } → B

The obvious one is (310 beats)/(1 minute).

[tex]x=0.\overline{37}\\\\100x=37.\overline{37}\\\\100x-x=37.\overline{37}-0.\overline{37}\\\\99x=37\\\\x=\dfrac{37}{99}[/tex]

Functions can't have multiple y values have the same x value.

[(-5, 1), (-3, 2), (-1, 3) (1, 4), (3, 5)] ** No repeating x-values.

[(-2, 1), (-4, 2), (0,3), (4, 1), (-2,5)]

[(-1, 5), (-1,4), (-1, 3), (-1, 2) (-1, 1)]

[(-6, -4), (-4, -2), (0, 0), (-4, 2) (-6, 4)]

Answer:

[(-5, 1), (-3, 2), (-1, 3) (1, 4), (3, 5)]

x | - 8 - 4 0 4 8

y | 28 16 4 - 8 - 20

to calculate the values of y, substitute the given values of x into the equation

x = - 8 : y = (- 3 × - 8 ) + 4 = 24 + 4 = 28

x = - 4 : y = (- 3 × - 4 )+ 4 = 12 + 4 = 16

x = 0 : y = (- 3 × 0 ) + 4

0 + 4 = 4

x = 4 : y = (- 3 × 4 ) + 4 = - 12 + 4 = - 8

x = 8 : y = (- 3 × 8 ) + 4 = - 24 + 4 = - 20

The third side of a triangle must always be less than the sum of the other 2 sides

here 8 + 8 = 16 and 17 ( the third side ) 17 > 16

Hence this is not a valid triangle

29°

Consider the right triangle between the plank and the ground

the angle can be found using tangent ratio

tanx° = [tex]\frac{opposite}{adjacent}[/tex]

where adjacent = 18 and opposite = 10

tanx° = [tex]\frac{10}{18}[/tex]

x = [tex]tan^{-1}[/tex]([tex]\frac{10}{18}[/tex]) = 29.0546 ≈ 29°

Answer:

29 degrees to nearest degree.

Step-by-step explanation:

This is the angle whose tangent is  10/18 or 5/9.

this = 29 degrees

let Leo's speed = x mile/hr

so Ethan speed = (x + 6) miles per hour

Distance = Speed × Time

so distance traveled by Leo in 2 hours = x × 2 = 2x

and distance traveled by Ethan in 1.5 hours = 1.5( x + 6 ) = 1.5x + 9

since  they meet on the path , After Ethan has ridden 1.5 hours and Leo has ridden 2 hours , so together the have traveled on complete path that is 65 miles.

⇒  distance traveled by leo in 2 hours + distance traveled by Ethan in 1.5 hours = 65

⇒  2x + 1.5x + 9 = 65

⇒ 3.5x = 56

⇒ x = 16

Hence Leo's speed = x miles/hr = 16 miles/hour

and Ethan's speed = (x + 6) miles/hr = 16 +6 = 22 mile/hour

Answer:

Leo's Speed = 16

Ethan's Speed = 22

Step-by-step explanation:

Answer:

f(-1) = -1 . . . . matches the last selection

Step-by-step explanation:

When evaluating piecewise functions, the first step is to determine the applicable piece. The argument -1 is in the range of the middle definition, (-2, 1). So, the function value is ...

... (-1)³ = -1

15.0 ( to the nearest tenth )

calculate the distance (d) using the distance formula

d = √(x₂ - x₁ )² + (y₂ - y₁ )²

with (x₁, y₁ ) = (7, - 4 ) and (x₂, y₂ ) = (- 8, - 5 )

d = √(-8 - 7 )² + (- 5 + 4 )² = √(225 + 1 ) = √226 ≈ 15.0

Assuming one electrician-day is the same as another, the total job is ...

... (18 electricians)×(35 days) = 630 electrician·days

When that work is split among 28 electricians, it can be expected to take ...

... (630 electrician·days)/(28 electricians) = 22.5 days

Here, we need to write the length of the insect in scientific notation.

The given length of the insect is 0.0052 meter

Now, to write 0.0052 meter in scientific notation we need to follow this:

Scientific notation always start with non-zero digit followed by a decimal point.

Since in our number the decimal is needed to be moved three places to the right to get the first non-zero digit.

The exponent of the 10 is [tex]-3[/tex].

[tex]10^{-3}=\frac{1}{1000} =0.001[/tex]

Therefore, our number 0.0052 can be written as:

[tex]5.2 \times 10^{-3}[/tex]

Hence, the require scientific notation is [tex]5.2 \times 10^{-3}[/tex].

The yearly membership cost plus the cost per visit was set equal to the non-member cost per visit, and solving the equation gave us the result.

We need to find the number of visits it would take for the total cost of a member and a non-member to be the same if they both use the waterpark at each visit. Let's denote the number of visits as x.

The yearly membership cost is $275, and each visit to the waterpark costs an additional $5 for a member. So, for x visits, the total cost for a member is:

Member cost = $275 + $5x

Non-members pay $6 for parking, $15 for admission to the park, and $9 for the waterpark per visit. Therefore, the total cost for a non-member is:

Non-member cost = ($6 + $15 + $9)x = $30x

Setting both costs equal to find the number of visits where the costs are the same:

$275 + $5x = $30x

Now we solve for x:

$275 = $30x - $5x

$275 = $25x

x = $275/$25

x = 11

Therefore, it would take 11 visits for the total cost to be the same for a member and a non-member if they both use the waterpark at each visit.

Answer:

1) B. 88

2) C. If 60 students read four books, then 120 students read two books.

Step-by-step explanation:

1) Solution

Step 1: Let "x" be the 5th test score.

Scores upto the 4th tests = 4*78 = 312

Step 2: Mean of the five tests = 80

(x + 312)/5 = 80

x + 312 = 80*5

x + 312 = 400

Step 3: Now find the value of x.

x = 400 - 312

x = 88

Therefore, Jacob scored 88 in the 5th test.

2) Solution

Step 1: 60 students read four books.

Now find the number of students.

Percentage of students read four books = 12% = 0.12

Total number of students = 60/0.12 = 500

Percentage of students reads two books = 24% = 24/100 = 0.24

Number of students read two books = 0.24*500

= 120

Hope you will understand the concept.

Thank you.

Hello,

Please, see the attached files.

Thanks.

The equation would be 4y=5x       4(x+15)=5x             x+15=y

let x be the amount that Shelia deposits each time

let y represent the amount that Sherri deposits each time

4(x+15)=5x

4x+60=5x

-4x       -4x

60=x

Check:

x+15=y                  60+15=y                        y=75

4(75)=5(60)

300=300

Shelia deposits $60 each time.

DERIVAR :

(2x – 1) / √ x2 + 1

The open circle at 3.75 and the arrow pointing left represents the values of x that are less than 3.75.

To graph [tex]\(x < \frac{17}{5} + \frac{7}{20}\)[/tex] on a number line, we'll first simplify the expression:

[tex]\(\frac{17}{5} + \frac{7}{20}\)[/tex]

To add these fractions, find a common denominator, which in this case is 20:

[tex]\(\frac{17}{5} = \frac{17 \times 4}{5 \times 4} = \frac{68}{20}\)[/tex]

Now, add the fractions:

[tex]\(\frac{68}{20} + \frac{7}{20} = \frac{75}{20}\)[/tex]

So, the expression simplifies to [tex]\(x < \frac{75}{20}\)[/tex].

To simplify [tex]\(\frac{75}{20}\)[/tex]:

[tex]\(75 \div 20 = 3.75\)[/tex]

This means the inequality is [tex]\(x < 3.75\)[/tex].

Now, to graph this on a number line, mark a point at 3.75, but as it is "less than" <, make sure to have an open circle at 3.75, indicating that it does not include the value itself. Then, draw an arrow to the left, signifying all values less than 3.75.

```

0-------------------o-------------------3.75------------------->

```

Here, the open circle at 3.75 and the arrow pointing left represents the values of x that are less than 3.75.

Learn more about fractions here:
https://brainly.com/question/78672

#SPJ6

Into each bowl, he will pour

... (1/3)×(7 1/5) = (1/3)×(6 6/5) = 2 2/5 . . . liters of juice

_____

Here, we have elected to rewrite 7 1/5 as 6 6/5 so each part of the number (whole number, fraction) will be divisible by 3.

You may have been taught to convert 7 1/5 to an improper fraction before doing the multiplication. That method looks like ...

... (1/3)×(36/5) = 12/5 = 2 2/5 . . . . same result

Moving from -2 to 4 is a gain of 6 in the x-direction and a drop of 8 in the y-direction.  Thus, the slope of this line is m = -8/6, or m = -4/3.

Then, using the point-slope formula, y - 0 = (-4/3)(x-4), or y = (-4/3)x + 16/3

y=-1 1/3x+5 1/3

I hope this helps

The student’s total percent of all successful quizzes for the entire year is 72%.

To determine the percent of all successful quizzes for the entire year, we need to follow these steps:

Calculate the number of quizzes passed so far: The student has passed 60% of 20 quizzes. This is calculated as follows:

0.60 x 20 = 12 quizzes passed.

Determine the number of quizzes remaining: The student needs to write 50 quizzes in total, so the remaining quizzes are 50 - 20 = 30 quizzes.

Calculate the number of additional quizzes passed: The student is expected to pass 80% of the remaining quizzes.

0.80 x 30 = 24 quizzes passed.

Calculate the total number of quizzes passed: Add the quizzes passed so far to the additional quizzes passed.

12 + 24 = 36 quizzes passed in total.

Determine the percentage of successful quizzes for the entire year: Divide the total number of successful quizzes by the total number of quizzes.

(36 / 50) x 100 = 72% successful quizzes.

Thus, the student’s total percent of all successful quizzes for the entire year is 72%.

The angle in the dilated figure is the same as the original angle in each case, a fact that should be confirmed by the way the answer choices are shown.

∠A = ∠A'

... 4x -4 = 51 -x

... 5x = 55

... x = 11

∠A = 4·11 -4 = 40 . . . . . . doesn't match any offered choice

___

∠B = ∠B'

... 6x -1 = 4x +21

... 2x = 22

... x = 11

... ∠B = 6·11 -1

... ∠B = ∠B' = 65 . . . . . matches selection D)

_____

∠C = ∠C'

... 8x -13 = 6x +9

... 2x = 22

... x = 11

... ∠C = 6·11 +9 = 75

... ∠C = ∠C' = 75 . . . . . matches selection D)

32 inches³

the volume V of a pyramid = [tex]\frac{1}{3}[/tex] × area of base × height

area of base = 4² = 16 and h = 6

V = [tex]\frac{1}{3}[/tex] × 16 × 6 = 32

Answer: Step 2. She incorrectly squared the numbers.

Solution:

The correct steps are:

1. a^2+7^2=25^2

2. a^2+49=625

3. a^2=576

4. a=24

In which step did Shawna make an error?

Step 2. She incorrectly squared the numbers.

Since, we are given right angled triangle

so, we use pythagoras theorem to find 'a'

step-1:

Using pythagoras theorem

[tex]a^2+7^2=25^2[/tex]

step-2:

we know that

[tex]7^2=7\times 7 =49[/tex]

[tex]25^2=25\times 25 =625[/tex]

so, we get

[tex]a^2+49=625[/tex]

she made error in second step

step-3:

Subtract both sides by 49

[tex]a^2+49-49=625-49[/tex]

[tex]a^2=576[/tex]

step-4:

Take sqrt both sides

we get

[tex]a=24[/tex]

so,

Answer is:

Step 2. She incorrectly squared the numbers.

∠1 and ∠2 are alternate exterior angles where transversal BE crosses parallel lines AC and DF, therefore they are equal. ∠2 and ∠3 are opposite angles of a parallelogram, therefore they are equal.

... ∠1 = ∠2

... 3x -5 = 2x +15 . . . . substitute the given values

... x = 20 . . . . . . . . . . . add 5-2x

The measures of angles 1, 2, and 3 are 2·20+15 = 55 . . . degrees.