Which of the following could be the ratio between the lengths of the two legs of a 30-60-90 triangle?
Check all that apply.

Answer:

$77

Step-by-step explanation:

Hello!

Let's find the cost of the red swimsuit.

The cost of the Red swimsuit is $35.

The cost of both swimsuits is $35 plus $42, which gives is $77.

Answer:

2(c-1)

Step-by-step explanation:

MIke is c

Steve is 2c

Steve was 2c -2  two years ago

Answer:

she hd 173 i think if this is correct

Step-by-step explanation:

if she gave 100 dollars away that would add 100 and then 50 150 and another 20 dollars 170 and she has 3 left so she had 173 dollars

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All the real solutions of the given equation are; x = - 5.61  and x = 1.61

We are given the equation;

x - √(9 - 4x) = 0

Add √(9 - 4x) to get;

x - √(9 - 4x) + √(9 - 4x) = √(9 - 4x)

x = √(9 - 4x)

Square both sides to get;

x² = 9 - 4x

Add 4x to both sides to get;

x² + 4x = 9 - 4x + 4x

x² + 4x - 9 = 0

Using online quadratic equation calculator, we have;

x = - 5.61  and x = 1.61

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Answer:

C. Point T and (0,0)

Step-by-step explanation:

There are more complicated ways to find this answer but the easiest is to go to an online graph maker (I use Desmos) and insert the equation. Then look for each point and see if the line passes through any of these points.

Answer:

a) Varies on b and c

b) 625 combinations

c) 120 combinations

Step-by-step explanation:

a) How many different cards are possible?

Leads to (b and (c

It depends on if repetition are permitted.

↓

in a 4 digit numerical combination, you were given 5 numbers.

b) If repetition are permitted:

you can put any of the given 5 digits to the 1st, 2nd, 3rd, and 4th position.

Each digits would have 5 turns.

This means that you will have 5 x 5 x 5 x 5 If there is repetition,

which is 5⁴ is 625 possible combinations.

c) repetition are not permitted:

This would mean that you have;

5 turns for the first digit,

4 turns for the second digit,

3 turns for the third digit,

2 turns for the fourth digit.

which means you have 5 x 4 x 3 x 2 possible solutions.

5 x 4 x 3 x 2 = 120

There will be 120 possible combinations in total if there's no repetitions.

________________________________________________________

Hope this helped!

Answer:

4.6cm

Step-by-step explanation:

v=4/3πr^3

128π=4/3π^3

128π×3=4πr^3

384π\4=πr^3

96π\π=r^3

96=r^3

3√96=r

r=4.579

r=4 6cm

The number of ways by which exactly 2 people are taller than the person behind them is; 6.

It follows from content that since 4 individuals with different heights are to line up, the 2 individuals who must be taller than the person behind them are represented as one entity and must be in the 1st and 2nd position or the 2nd and 3rd position.

Hence, the number of ways is; 6 upon counting the number of possible outcomes.

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Answer:

0.5, 5.5

Step-by-step explanation:

ive done this worksheet before

Answer: Choice C

(0.5, 5.5)

===========================================================

Explanation:

Draw out a number line with -2 and 3 on it. These are the x coordinates of the given points. Add up these values and divide by 2 to get the midpoint on the number line.

(A+B)/2 = (-2+3)/2 = 1/2 = 0.5

The value 0.5 is the midpoint of -2 and 3. This midpoint is equally spaced from both endpoints.

Therefore, the x coordinate of the midpoint is 0.5

Repeat this idea for the y coordinates

Add: 4 + 7 = 11

Divide the result in half:  11/2 = 5.5

The y coordinate of the midpoint is 5.5

The overall midpoint itself is located at (x,y) = (0.5, 5.5)

This is why choice C is the final answer.

Visual confirmation is shown below. GeoGebra has a nice handy feature to find the midpoint very quickly with just a few clicks.

In the simplest form, the ratio of blue paint to yellow paint is 2 : 3.

The number of blue paint he  used on the first and second day is 10.

The number of yellow paint he  used on the first and second day is 15.

On the third day, the highest number of can of blue paint he can use is 2

On the third day, the highest number of can of yellow paint he can use is 3.

The ratio of blue paint to yellow paint can be determined by determining the simplest form of the paints used: 4 : 6 = 2: 3

Total blue paint used on the first and second day = 4 + 6 = 10

Blue cans remaining = 14 - 10 = 4

Total yellow paint used on the first and second day = 6 + 9 = 15 cans

Yellow cans remaining = 20 - 15 = 5 cans

Maximum ratio of blue and yellow cans that can be used is 2 : 3.

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This is the graph of f(x)=−(x−3)(x+1). Hope it helps!

Answer:

cos4B=1-8sin^2B+8sin^4B

Answer:

22/02/2022 ,22 February 2022

Step-by-step explanation:

Answer:

-45

Step-by-step explanation: Plug the numbers of a and b into the equation.

Answer:

-45

Step-by-step explanation:

ok so basically since a is 3 a2 will be 9 then you put back the plus sign then 3×a×b will be -18 then 6square will be 36.

=9+(-18)-36

= -9-36

=-45

The graph of the function y = sin 0.5x is option A. This can be obtained by using period of the graph function.

Periodic function is a function that repeats at uniform intervals; the time interval between two waves is called the period.

f (a + n) = f (a), ∀ n > 0.

After first n the function is same that is f(a), after second function is the same, the function is repeated with an interval of n.

Therefore the formula for period of a function is 2π/|B| when the function is y = A sin(Bx + C) and y = A cos(Bx + C).

For a function y = sin bx, period is given by,

P = 2π/b

Here function is y = sin 0.5x, therefore b = 0.5

P = 2π/0.5

  =20π/5

  = 4π

Period is 4π. The first graph has period 4π.

Hence the graph of the function y = sin 0.5x is option A.

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Disclaimer: The question was given incomplete on the portal. Here is the complete question.

Question: Which could be the graph of the function y = sin 0.5x?

Probability helps us to know the chances of an event occurring. The probability that the card selected is not a heart is 3/4.

Probability helps us to know the chances of an event occurring.

[tex]\rm Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}[/tex]

The probability of the card not being selected is a heart is,

Probability = (Number of cards without heart)/Total number of cards)

Probability = 39/52

Probability = 3/4

Hence, the probability that the card selected is not a heart is 3/4.

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Answer:

Not a function.

Step-by-step explanation:

The vertical line touches the graph at more than one point at once.

Answer:

  A, B, D, F

Step-by-step explanation:

Matrix operations require that the matrix dimensions make sense for the operation being performed.

Matrix multiplication forms the dot product of a row in the left matrix and a column in the right matrix. That can only happen if those vectors have the same dimension. That is the number of columns in the left matrix must equal the number of rows in the right matrix.

Matrix addition or subtraction operates on corresponding terms, so the matrices must have the same dimension.

The transpose operation interchanges rows and columns, so reverses the dimension numbers. It is a defined operation for any size matrix.

A. CA ⇒ (4×7) × (7×2) . . . . defined

B. B -A ⇒ (7×2) -(7×2) . . . . defined

C. B -C ⇒ (7×2) -(4×7) . . . undefined

D. AB' ⇒ (7×2) × (2×7) . . . . defined

E. AC ⇒ (7×2) × (4×7) . . . undefined

F. C' ⇒ (7×4) . . . . defined

Answer:

[tex]x=\frac{18000}{7}=2571\frac{3}{7}[/tex]

Step-by-step explanation:

Let the total amount be x

Then Ali got 1/8x With 7/8x left

Juma got 7/40x with 7/10x left

Musa, Khalid and Mustafa got 7/30x each

since [tex]\frac{7}{30}x=600[/tex]

7x=18000

[tex]x=\frac{18000}{7}=2571\frac{3}{7}[/tex]

Answer: True

Step-by-step explanation:

Answer:False

Step-by-step explanation:I took the test

Answer:

247m³

Step-by-step explanation:

volume of cylinder = πr²*h

volume of cylinder = 19m²*13m

volume of cylinder = 247m³

247  cubic meters is the volume of the cylinder.

Volume, which is measured in cubic units, is the 3-dimensional space occupied by matter or encircled by a surface. The cubic meter (m³), a derived unit, is the SI unit of volume. Volume is another word for capacity.

The area of the circular face of the cylinder is given by:

A = πr²

where r is the radius of the circular face. Since the area of the circular face is given as 19 m², we can solve for the radius as follows:

19 = πr²

r² = 19/π

The volume of the cylinder is given by:

V = Ah

where h is the height of the cylinder. Since the height is given as 13 m and we have just found the radius to be approximately 2.197 m, we can calculate the volume as follows:

V = πr²h

=19*13

≈ 247 m³

Therefore, the volume of the cylinder is approximately 247  cubic meters.

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The future value with continuous compounding is $127,420.39.

The formula for calculating future value when there is continuous compounding is : A x e^r x N

Where:

15,000 x (e^0.06) x 8 = $127,420.39

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The value of C based on the information given about the integer is C. 22.

From the information given,

b² + bc - 23 = 0

Let the assumed value for a = 1

b² + bc - 23 = 0

1² + (1 × c) - 23 = 0

1 + c - 23 = 0

c = 23 - 1

c = 22.

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A triangle is a plane shape bounded by three straight sides, thus it has three internal angles. Therefore, the required values are:

i. x = [tex]40^{o}[/tex]

ii. y = [tex]120^{o}[/tex]

A plane shape is a figure bounded by straight sides. Examples are triangles, squares, rectangles, rhombus, kite, trapezium, etc. A triangle is an example of a plane shape that has three sides, thus three angles. also, the sum of angles in a given triangle is [tex]180^{o}[/tex].

Thus the required values of x and y can be determined as follows:

x + 20 + 120 =  [tex]180^{o}[/tex]

x + 140 =  [tex]180^{o}[/tex]

x =  [tex]180^{o}[/tex] - 140

So that,

x = [tex]40^{o}[/tex]

Thus,

y = 20 + 120 (the sum of opposite angles is equal to an exterior angle.)

            = [tex]120^{o}[/tex]

Therefore, x = [tex]40^{o}[/tex] and y = [tex]120^{o}[/tex]

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The inequalities which matches the graph are: x ≥ ₋1.5 and ₋1.5 ≤ x

Given, a number line is moving from ₋3 to ₊5 .

Next a mark is made at ₋1.5 and everything to its left is shaded which means not visible.

When we mark the point and shade the left part of it then we can start applying the inequality expressions.

And from that we can match the applicable inequalities while observing the graph.

Therefore the only inequalities the graph represents is  x ≥ ₋1.5 and ₋1.5 ≤ x

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L represent Option A. The correct answer is that the mixture has the intended volume and has more than the intended percent of butterfat.

Note that:

The graph shows that the point L is one that is below the blue line of the graph.

Therefore, x + y = 500

Also one need to see that:

0.18x + 0.04y = 500(0.12)

Since that cream is 18% butterfat, milk is 4% butterfat, so L is composed of of 350 ml of cream and 100 ml of milk.

Hence the total amount of butterfat for L is:

0.18 x 350 + 0.04 x 100

= 67ml.

Next, one has to calculate 12% of the volume of L :

12% of 450:

0.12 x 450 =  54ml

So, because 67 is bigger than 54, this implies that the volume of butter fat in L is more than 12 %.

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Answer:

Step-by-step explanation:

[tex] \bf \cfrac{f(x + h) - f(x)}{h} [/tex]

[tex]\bf f(x) -8x + 1[/tex]

[tex]\bf f(x+h) = -8x-8h+1[/tex]

[tex]\bf \cfrac{ - 8x - 8h + 1 + 8x - 1}{h} [/tex]

[tex] \bf =\cfrac{ - 8h}{h} [/tex]

[tex] \bf = - 8[/tex]

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Answer:

Given function:

[tex]f(x) = -8x + 1.[/tex]

Let's find the difference quotient:

[tex]\frac{f(x+h)-f(x)}{h}\\\\= \frac{[-8(x+h)+1] - (-8x + 1)}{h}\\\\= \frac{-8x-8h+1+8x-1}{h}\\\\ = \frac{-8h}{h}\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,(h\neq 0)\\\\= -8.[/tex]

To transform f(x) into g(x) we need to use addition, subtraction and multiplication.

Given f(x)=[tex]x^{2}[/tex] and g(x)=[tex]x/3+3(x^{2} -3)[/tex]

We need to transform function f(x)into g(x).

A function refers to a relation which expresses relationship between two variables. It contains one value for each value of x. If there are more than one value for one value of x then it is not said to be a function.

f(x)=[tex]x^{2}[/tex], g(x)=[tex]x/3+3(x^{2} -3)[/tex]

To transform f(x) into g(x)  we need to follow the following steps:

Hence we have to use addition, subtraction and multiplication for transformation.

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The graph of g(x) is wider than f(x) and is shifted to the left 4 units and down 3 units.

Step-by-step explanation:

Step-by-step explanation:

Depreciation of Long Term Assets

As with most types of assets, long term assets needs to be depreciated over the course of their useful life. It is because a long term asset is not expected to generate a benefit for an infinite amount of time.

Answer:

Inflation

Step-by-step explanation:

The rising costs of goods and services mean that $1 in 2022 will be worth more than $1 in 2032. This is called inflation.

Let's just say you put $200,000 in a savings account in 2000. That could've purchased you a 4 bedroom house at the time.

You keep the money in the account for over 20 years. And in 2020, you want to buy a new home with the money you have saved.

However, you can only buy a 2 bedroom house, because the rising costs of the market, increased the cost, or depreciated your savings.

This is called inflation.