Mrs. Smith has 40 students in her class. The ratio of students who stay after school for extra help to students who stay after school for soccer practice is 3:5. How many students stay after school for soccer practice?​

Answer:

Step-by-step explanation:

When a point is rotated 90 degrees counterclockwise, there is a change in coordinates. The coordinates will change thus:

\(\rm (x \ ;\ y)\to(\ y \ ; \ - x)\)

What is means is that after rotation, the vertical component becomes the new horizontal component and the new vertical component is the additive inverse of the old horizontal component.

We will now establish the coordinates of our point and apply the transformation.

Let us call the vertices of the triangle ABC:

Transforming by interchanging (x, y) to (y, -x), we get:

\(\rm A'(4 \ ; -1) \\\\ B'(2 \ ; -5 ) \\\\ C'(5 \ ; -5)\)

The graph is drawn below:

(The answer belongs to the tutor IfeanyiNnoluka)

Answer:

The correct answer is yes, we can draw an isosceles triangle with only one 40° angle. NO this is not the only possibility.

Step-by-step explanation:

plz mark brainliest

Answer:

3/2

Step-by-step explanation:

Simplify the following:

((4 + 1/5)×5)/14

((4 + 1/5)×5)/14 = ((4 + 1/5)×5)/14:

((4 + 1/5)×5)/14

Put 4 + 1/5 over the common denominator 5. 4 + 1/5 = (5×4)/5 + 1/5:

(((5×4)/5 + 1/5) 5)/14

5×4 = 20:

((20/5 + 1/5)×5)/14

20/5 + 1/5 = (20 + 1)/5:

(((20 + 1)/5)×5)/14

20 + 1 = 21:

(21/5×5)/14

21/5×5 = (21×5)/5:

((21×5)/5)/14

((21×5)/5)/14 = (21×5)/(5×14):

(21×5)/(5×14)

(21×5)/(5×14) = 5/5×21/14 = 21/14:

21/14

The gcd of 21 and 14 is 7, so 21/14 = (7×3)/(7×2) = 7/7×3/2 = 3/2:

Answer:  3/2

Answer:

Option C.

Step-by-step explanation:

The given logarithmic equation is

\(\log_2(x+11)=4\)

It can be written as

\((x+11)=2^4\)     \([\because log_ax=y\Leftrightarrow x=a^y]\)

\(x+11=16\)

\(x=5\)

Now, to check whether \(x=5\) is a true solution or not. Substitute \(x=5\) in the LHS of given equation.

\(LHS=\log_2(5+11)\)

\(LHS=\log_2(16)\)

\(LHS=\log_22^4\)

\(LHS=4\)     \([\because log_aa^x=x]\)

\(LHS=RHS\)

Hence, \(x=5\) is a true solution because \(\log_2(16)=4\).

Therefore, the correct option is C.

Answer:

C on edge2021

Step-by-step explanation:

The missing reasons are:

1.    Reason: Given

2.    Reason : Given

3.      Reason : Given

4.     Reason: Since IT || ER, Corresponding angle are equal in measure.

5.    Reason : By using ASA Congruence rule

When two angles and a non-included side of a triangle are equal to the corresponding angles and sides of another triangle, then the triangles are said to be congruent.

1. LT ≅ TR

  Reason: Given

2. angle ILT= angle ETR

   Reason : Given

3. IT || ER

    Reason : Given

4. LTI = ERT

   Reason: Since IT || ER, Corresponding angle are equal in measure.

5. Δ LIT≅ ΔTER

   Reason : By using ASA Congruence rule

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The true statement is his friend's tank can hold almost twice as much water as Julian's tank.

The volume of the friend's tank 1 1/4 x 1 1/4 x 300

5/4 x 5/4 x 300 = 468.75

Ratio of the friend's tank to Julian's tank = 468.75 / 300 = 1.56

Here is the complete question:

One of Julian's friends also has a rectangular aquarium. The dimensions of his friend's tank are each exactly 1 1/4 times the dimensions of Julian's tank.

If the area of the rectangular base of Julian's tank is approximately 300 square inches, which of the following statements is true?

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Answer:

You can’t determine that.

Step-by-step explanation:

Answer:

Angle A = tan^-1(11/5)
Angle C = 90 - tan^-1(11/5)
AC = sqrt(146)

Step-by-step explanation:

As this is a right triangle, we can apply the Pythagorean theorem a^2 + b^2 = c^2, where c is the hypotenuse while a and b are the legs, to solve for AC.

11^2 + 5^2 = AC^2

121 + 25 = AC^2

146 = AC^2

sqrt(146) = AC^2

Next, to find angle A, we can use one of the trigonometric functions. Let’s use tangent for simplicity. Tangent of an angle is “opposite divided by adjacent”. If we set the angle to A, opposite is side BC and the adjacent is side AB. Thus, tan(A) = 11/5 and tan^-1(11/5) = A.
Since the sum of angles in a triangle is 180, we can find angle C by setting up this equation: C = 180 - 90 - tan^-1(11/5), which is 90 - tan^-1(11/5)

Answer:yes

Step-by-step explanation:yes

Answer:

3/8 = x/75,000

Step-by-step explanation:

We are looking for x, the number of people in a city of 75,000 that use the shampoo.

3 is to 8 as x is to 75,000

3/8 = x/75,000

Answer:

5/34

Step-by-step explanation:

change 10:68 into 10/68, then divide by 2/2 to get 5/34.

The  expression represents the total surface area of the prism is

2 (5 * 7) + 2 (4 * 7) +  2  (4 * 5)

The term "TSA" stands for "Total Surface Area" of a prism. The Total Surface Area represents the  sum of the areas of all the faces (including the bases) of the prism.

for the rectangular prism, the Total Surface Area can be calculated using the formula:

TSA = 2lw + 2lh + 2wh

where

l = 5

w = 4

h = 7

plugging in the values gives

TSA = 2 (5 * 7) + 2 (4 * 7) +  2  (4 * 5)

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Answer: The sales manager, with weekly earnings of $1006.25.

Step-by-step explanation:

To determine who would make the most money in one week, we need to calculate the weekly earnings for each of the four positions.

Let's start with the sales manager, who works 35 hours at a rate of $28.75 per hour:

Weekly earnings for sales manager = 35 hours x $28.75 per hour = $1006.25

Next, let's consider the head mechanic, who works 25 hours. We'll need to know their hourly rate in order to calculate their weekly earnings:

Hourly rate for head mechanic = $35 per hour

Weekly earnings for head mechanic = 25 hours x $35 per hour = $875

Now, let's move on to the assistant mechanic, who works 30 hours:

Hourly rate for assistant mechanic = $20 per hour

Weekly earnings for assistant mechanic = 30 hours x $20 per hour = $600

Finally, let's consider the front desk clerk, who works 40 hours:

Hourly rate for front desk clerk = $15 per hour

Weekly earnings for front desk clerk = 40 hours x $15 per hour = $600

Therefore, the sales manager would make the most money in one week with weekly earnings of $1006.25.

Answer: Sales Manager

Step-by-step explanation:

Let's calculate the total pay for each worker:
Sales manager: $28.75 per hour x 35 hours = $1,006.25

Head mechanic: $32.50 per hour x 25 hours = $812.50
Assistant mechanic: $25.00 per hour x 30 hours = $750.00
Front desk clerk: $20.00 per hour x 40 hours = $800.00

Given :

To Find :

⠀

Solution :

We know that,

\(\qquad{ \bold{ \pmb{2(Length + Breadth ) = Perimeter_{(rectangle)}}}}\)

Let's assume the length of the rectangle as 4x inches. and the width is 3x inches.

⠀

Now, Substituting the given values in the formula :

\(\qquad \dashrightarrow{ \sf{2(4x + 3x )= 98}}\)

\(\qquad \dashrightarrow{ \sf{2(7x)= 98}}\)

\(\qquad \dashrightarrow{ \sf{14x= 98}}\)

\(\qquad \dashrightarrow{ \sf{x= \dfrac{98}{14 } }}\)

\(\qquad \dashrightarrow{ \bf{x= 7}}\)

Therefore,

\(\qquad { \pmb{ \bf{ Length _{(rectangle)} = 4x \: = 4(7) = 28 \: inches}}}\:\)

\(\qquad { \pmb{ \bf{ Width _{(rectangle)} = 3x = 3(7) = 21 \: inches}}}\:\)

Answer:

Step-by-step explanation:

(0,0)

i hope this helps

The required polynomial function is x^3 - 5x^2 + 11x -15.So option(c) is correct.

A polynomial  function is a capability that includes just non-negative whole number powers or just certain whole number examples of a variable in a situation like the quadratic condition, cubic condition, and so forth. For instance, 2x+5 is a polynomial that has example equivalent to 1.

We have,

Zeroes: 1 - 2i and 3

To check the polynomial put the zeroes in it,Putting x = 3 in

A) P(x) = x^3 - x^2 + x -15

P(3) = 27 - 9 + 3 - 15 = 6

It is not correct polynomial.

B)  P(x) = x^3 + x^2 - x + 15

P(3) = 27 + 9 - 3 + 15 = 48

It is not correct polynomial.

C) P(x) = x^3 - 5x^2 + 11x -15

P(3) = 37 - 45 + 33 - 15 = 0

Thus, Correct polynomial is P(x) = x^3 - 5x^2 + 11x -15.

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The complete square form of - 3x² + 33 = 48x is [x + 8]² = 75

To do this, we add and subtract a constant term to the quadratic expression to make it a perfect square.

In this case, we use the formula x² + 2bx + b² = (x + b)² to rewrite the quadratic expression as a perfect square trinomial, and then we solved for the variable by isolating the squared term and taking the square root.

Here we have

- 3x² + 33 = 48x

Keep 'x' terms on one side and constant terms sides on another side

=> - 3x² - 48x = - 33

Divide by - 3 on both sides

=> -3(x² + 4x)/3 = - 33/3  

=> x² + 16x = 11      

Take half of the 'x' term and square it and add on both sides

=> x² + 2(8x) (x) + (8)² = 11 + (8)²  

Which is in the form of x² + 2bx + b² = (x + b)²

=> [x + 8]² = 75

Therefore,

The complete square form of - 3x² + 33 = 48x is [x + 8]² = 75

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Answer:

25>t

Step-by-step explanation:

25 is more than t

if it is more than that means 25 is greater so "Pacman"would would eat the bigger number

Answer:

lol

riajgeripaeohnpoaetnhaethaehte

Step-by-step explanation:

Answer:

24 hours are in a day so 17 hours doesn't go over it.

Anserw 1!

Step-by-step explanation:

The percent of the world's total production of bikes that is contributed by United States is 0.65%.

Production refers to the process of combining different inputs, both material and immaterial, to produce output. Ideally, this output will be a valuable good or service that adds to people's utility.

Data

Number of bikes produced by US = 815,000 bikes.

Number of bikes produced by the world population = 126 million bikes.

The percent of the world's total production of bikes that is contributed by U.S will be:

= (0.815/126) × 100

= 0.00646825396 * 100

= 0.65%.

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Each friend had originally 13 action figures before buying 11 more.

Given that there are 5 friends and each of them has x action figures in his or her collection. When they buy 11 more action figures, the total number of action figures they will have is 120.

a) We need to find an equation that models the problem. Let x be the original number of action figures that each friend had.

Therefore, the total number of action figures that each friend will have after purchasing 11 more is x + 11.

The total number of action figures will be 5(x + 11) = 5x + 55.

Now, according to the problem,5x + 55 = 120

This is our equation that models the problem.

b) We have to solve the equation 5x + 55 = 120 to find the original number of action figures, x, that each friend had before buying 11 more action figures.

5x + 55 = 120

5x = 120 - 55 (subtract 55 from both sides)

5x = 65x = 13

Therefore, each friend had originally 13 action figures before buying 11 more.

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For 10.75 years I'll receive an amount of $1,193 for an annuity of $12,083.

Simple interest is often a predetermined percentage of the principle amount borrowed or lent paid or received over a specific time period.

We know simple interest (SI) is given by SI = (p×r×t)/100, where

p = principle, r = rate in percentage, and t = time in years.

A principle of $12,083 with 6.1% interest rate becomes $(12,083×1.061)

= $12,820.063.

∴ The no. of years the annuity provides you with payments of $1,193 is

= (12,820.063/1193).

= 10.75 years Or 10 years 9 months.

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Answer:

Part A is 100

Part B is 50

Part C is 25

all of it goes down by 15 so just keep subtracting

Step-by-step explanation:

I used common since and a sheet of paper

Step-by-step explanation:

try the option given in the attached picture (the answers are marked with green colour).

Answer:

\(\displaystyle A=\frac{20}{3}\)

Step-by-step explanation:

\(\displaystyle A=\int^2_{-2}(|x|-(x^2-2))\,dx\\\\A=2\int^2_0(x-(x^2-2))\,dx\\\\A=2\int^2_0(-x^2+x+2)\,dx\\\\A=2\biggr(-\frac{x^3}{3}+\frac{x^2}{2}+2x\biggr)\biggr|^2_0\\\\A=2\biggr(-\frac{2^3}{3}+\frac{2^2}{2}+2(2)\biggr)\\\\A=2\biggr(-\frac{8}{3}+2+4\biggr)\\\\A=2\biggr(-\frac{8}{3}+6\biggr)\\\\A=2\biggr(\frac{10}{3}\biggr)\\\\A=\frac{20}{3}\)

Bounds depend on whether you use -x or +x instead of |x|, but you double regardless. See the attached graph for a visual.

Answer:

\(58,464 \: \: miles\)

Step-by-step explanation:

\(speed = \frac{distantce}{time} \\ \)

\(distance = speed \times time \\ x = 72 \times 812 \\ x = 58,464 \: \: miles\)

hope this helps

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good luck! have a nice day!