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Divide 4 and 5 over 6 ÷ negative 2 and 1 over 7.

negative 10 and 15 over 42
negative 8 and 5 over 42
negative 2 and 23 over 90
negative 2 and 1 over 2

The perimeter of the triangle OQR is 68 cm

From the question, we have the following parameters that can be used in our computation:

Circles with the centers O, Q and R

When these centers are connected, the connection forms a triangle

The triangle OQR

Also from the question, we have the following values of radii

Radii = 8 cm, 11 cm and 15 cm

The perimeter of the triangle OQR is calculated as

Perimeter = Twice the sum of the radii

Substitute the known values in the above equation, so, we have the following representation

Perimeter = 2 *(8 + 11 + 15)

Evaluate the sum

Perimeter = 2 * 34

Evaluate the products

Perimeter = 68

Hence, the perimeter is 68 cm

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Answer:

The inverse function is \(y = -\frac{x}{4}\)

Step-by-step explanation:

Inverse of a function:

To find the inverse of a function, we exchange x by y, then we isolate y.

y = -4x

Finding the inverse:

\(x = -4y\)

\(4y = -x\)

\(y = -\frac{x}{4}\)

So

The inverse function is \(y = -\frac{x}{4}\)

Answer:

the answer is D

Step-by-step explanation:

because the! ABC moved 7 points and reflected over line p

Answer:

1 liter of the Stronger mix

Step-by-step explanation:

From the above question:

Julie adds water to the concentrate until she has 2 liters of juice which is 60% concentrate.

Hence,

2 liters of juice = 60% concentrate of orange

2 liters of juice = 0.6 of the concentrate of orange

Amount of orange used in liters = 2 × 0.6 = 1.2 liters

She then adds some leftover juice which is 75% concentrate

Liters of left over juice added = unknown and represented by y

hence,

y liters of juice = 75% concentrate

y liters = 0.75 concentrate.

Liters of y added = y × 0.75

= 0.75y

She then adds some leftover juice which is 75% concentrate. If the result is 65% concentrated juice,

Mathematically this means

60% concentrate + 75 % concentrate = 65% concentrate.

In liters

= 1.2 liters + 0.75y liters = 65%(2 liters of orange + y liters of orange)

= 1.2 + 0.75y = 0.65(2 + y)

= 1.2 + 0.75y = 1.3 + 0.65y

Collect like terms

= 0.75y - 0.65y = 1.3 - 1.2

= 0.1y = 0.1

y = 0.1/0.1

y = 1 liter.

Hence, since the liters of the leftover juice = stronger mix is represented by y,

therefore, the liters of stronger mix added = 1 liter.

Answer:1/6

Step-by-step explanation: divide both sides by 3 as 3 itself and 18 can be divided by 3

Answer:

2

Step-by-step explanation:

\(\frac{6}{2}\) - \(\frac{7}{7}\)        First simplify each fraction

\(3\) - 1        Then solve

2            Final answer

Step-by-step explanation:

Start with the series representation for eˣ.

eˣ = ∑ₙ₌₀°° xⁿ / n!

Substitute -x².

e^(-x²) = ∑ₙ₌₀°° (-x²)ⁿ / n!

e^(-x²) = ∑ₙ₌₀°° (-1)ⁿ (x²ⁿ) / n!

Multiply by x².

x² e^(-x²) = x² ∑ₙ₌₀°° (-1)ⁿ (x²ⁿ) / n!

x² e^(-x²) = ∑ₙ₌₀°° (-1)ⁿ (x²ⁿ⁺²) / n!

Integrate both sides (use power rule).

∫ x² e^(-x²) = ∑ₙ₌₀°° (-1)ⁿ (x²ⁿ⁺³) / ((2n + 3) n!)

Evaluate between x=0 and x=0.5.

∫ x² e^(-x²) = ∑ₙ₌₀°° (-1)ⁿ (0.5²ⁿ⁺³) / ((2n + 3) n!)

This is an alternating series, so use alternating series estimation.

(0.5²⁽ⁿ⁺¹⁾⁺³) / ((2(n+1) + 3) (n+1)!) ≤ 0.001

(0.5²ⁿ⁺⁵) / ((2n + 5) (n+1)!) ≤ 0.001

n ≥ 1

So the estimate of the integral is the sum of the first two terms (n=0 and n=1).

I = (-1)⁰ (0.5³) / ((3) 0!) + (-1)¹ (0.5²⁺³) / ((2 + 3) 1!)

I = (0.5³) / 3 − (0.5⁵) / 5

I = 1/24 − 1/160

I = 17/480

I = 0.0354

The probability is 1/9

We want to find the probability that the first drawn ball is even, and the second is odd.

The probability of randomly drawing an even ball will be equal to the quotient between the number of balls with even numbers and the total number of balls in the bucket.

We have a total of 10 balls (4 red ones and 6 black ones)

and 5 of these have even numbers (2, 4, 6, 8, 10)

Then the probability of drawing a ball with an even number first is:

p = 5/10 = 1/5

now we want to get a ball with an odd number.

notice that we already got a ball with an even number and we did not replace it, so now there are 9 balls left in the bucket, 5 odd ones, and 4 even ones.

The probability of getting an odd ball is computed in the same way thana above, as the quotient between the number of balls with odd numbers (5) and the total number of balls in the bucket (9)

q = 5/9

The joint probability (the probability that these two events happen together) is equal to the product of the individual probabilities, so we will get:

P = p*q = (5/9)*(1/5) = 1/9

The probability is 1/9

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Answer:

A line is said to be perpendicular to another line if the two lines intersect at a right angle. An angle is said to be a right angle if its measure is 90 degrees.

The number of centilitres which is equivalent to 0.00005 liters as required to be expressed in standard form is; 5 × 10-² cL.

Recall that; it follows from metric systems that;

100 centilitres = 1 litres.

On this note, it follows from proportion that the number of centilitres present in 0.00005 litres as required is;

= 0.00005 × 100 centilitres

= 0.005 centilitres.

Ultimately, when expressed in standard form, it follows that the number of centilitres in 0.00005 liters is; 5 × 10-² cL.

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Answer:

3 1/3 feet

Step-by-step explanation:

100 feet : 15 inches

3 1/3 feet : 1/2 inch

Answer:

\(3\frac{1}{3}\) feet

Step-by-step explanation:

Inches : Feet = 15 : 100

Let 'x' be the feet required to find

15 : 100 :: 1/2 : x

Product of extremes  = product of means

          15 * x = 100 * (1/2)

          15 * x = 50

                  x = 50/15

                 x  =  10/3

                 x = \(3\frac{1}{3}\)

Answer:

yes because 1 divided by 2 is 0.5 which can be converted to 50%

Answer:

40 but 50 coud work

Step-by-step explanation:

Answer:

x^2+2x

Step-by-step explanation:

This function was shifted down 6 units.

It does not seem like this function was shifted horizontally since the x value is not being subtracted nor added inside the parentheses. Therefore, the original function would just be p(x) + 6, which would give us x^2+2x.

Answer: im pretty sure the answer is c

Step-by-step explanation:

if the answer is  not c im sorry but i hope this helps! Have a good day!

Answer:

Sum of interior angles of a triangle always = 180 degrees

add the individual ratios to get a sum composite ratio:

2+5+8 = 15

180 / 15 = 12

Multiply individual ratios:

{2:5:8} * 12 = 24:60:96

Check:

24 + 60 + 96 = 180

Step-by-step explanation:

I hope it's help

The missing step in making the equation in vertex form is option D which is

\(5(x^{2} +\)6x____)+15.

Given Equation \(5x^{2} +30x+15=0\)

Parabola in vertex form. Equation is a relationship between two or more variables which is expressed in equal to form. It is solved to find the variables.

To express the equation of a parabola in vertex form we must complete squares. The equation is given as

\(5x^{2} +30x+15=0\)

The first step is to factor 5 and leave space to complete the third term in the parenthesis, along with a space outside it to compensate. This should look like

(\(5(x^{2} +6x............)+15..........=0\)

Those spaces need to be filled out like shown in the step 2. Thus the correct step is D.

Hence the correct step in vertex form is D which is

\(5(x^{2} +6x\)___-)+15____=0.

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Answer:

To determine the possible degree(s) of a function from the graph alone, you need to examine the behavior of the graph at the extremes (far left and far right) and consider the number of turning points or changes in direction. Here's a step-by-step approach:

Look at the far left side of the graph: Determine the behavior of the graph as it approaches negative infinity. Does the graph approach a specific value, such as a horizontal line (asymptote) or the x-axis? If the graph approaches a horizontal line, it suggests a polynomial function of even degree. If the graph approaches the x-axis, it indicates a polynomial function of odd degree or possibly a function with a root of multiplicity greater than one.

Look at the far right side of the graph: Determine the behavior of the graph as it approaches positive infinity. Similar to step 1, observe if the graph approaches a specific value or a horizontal line. The behavior at the far right side should be consistent with the behavior at the far left side. This can help you identify if the function is even or odd degree.

Examine the number of turning points or changes in direction: Count the number of times the graph changes direction. These points are where the slope of the graph changes from positive to negative or vice versa. The number of turning points can provide an indication of the degree of the polynomial. For example, if there are two turning points, it suggests a polynomial function of degree 3.

Remember that this method provides potential degrees, but it may not definitively determine the exact degree of the function. Additional information or analysis might be required for a more accurate determination.

The volume of the rectangular tank is:

V = l × w × h = 40 cm × 30 cm × 35 cm = 42,000 cm³

The initial volume of water in the tank is:

V1 = l × w × h1 = 40 cm × 30 cm × 15 cm = 18,000 cm³

When 4800 cm³ of water is poured into the tank, the new volume of water becomes:

V2 = V1 + 4800 cm³ = 18,000 cm³ + 4800 cm³ = 23,800 cm³

Let's assume that the new water height is h2 cm. We can use the formula for the volume of a rectangular tank to find the new height:

V = l × w × h2

h2 = V / (l × w) = (23,800 cm³) / (40 cm × 30 cm) ≈ 19.83 cm

Therefore, the new height of the water in the tank is approximately 19.83 cm.

In relation to the angle L of the right triangle the sides are as follows:

A right angle triangle is a triangle that has one of its angles as 90 degrees.  The sides of a right angle triangle can be named according to the position of the angles in the right angle triangle.

The sides of a right triangle can also be solved by using Pythagoras's theorem or trigonometric ratios.

Let's identify the sides  j,  k, and I in relation to angle L in terms of opposite, adjacent, and hypotenuse.

Therefore,

The hypotenuse side is the longest side of a right triangle.

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4 and 12 are both divisible by 2, which bring us 2 and 6.

2 and 6 are also divisible by 2, which bring us 1 and 3.

Then, 4 = 2^2 and 12 =

Answer:

Step-by-step explanation:

Answer:

Good luck :)

Step-by-step explanation:

S=2πrh+2πr ²

subtract 2πr ² from each side

S -2πr ² = 2πrh

divide by 2πr from each side

(S -2πr ² )/ 2πr  = h

Answer:

3.1 gallons

Step-by-step explanation:

To solve this, we need to figure out how many gallons of gas go into 72 miles. We know 23 miles is equal to one gallon of gas, and given that the ratio of miles to gas stays the same, we can say that

miles of gas / gallons = miles of gas / gallons

23 miles / 1 gallon = 72 miles / gallons needed to go to Bob's mother's house

If we write the gallons needed to go to Bob's mother's house as g, we can say

23 miles / 1 gallon = 72 miles/g

multiply both sides by 1 gallon to remove a denominator

23 miles = 72 miles * 1 gallon /g

multiply both sides by g to remove the other denominator

23 miles * g = 72 miles * 1 gallon

divide both sides by 23 miles to isolate the g

g = 72 miles * 1 gallon/23 miles

= 72 / 23 gallons

≈ 3.1 gallons

Answer:

The answer is D!

Step-by-step explanation:

Answer:

Probability that it is a red card: 50%

Probability that it is a black card: 50%

Step-by-step explanation:

You have an even probability of getting a red card or a black card. This is true because there are an even number of red cards and black cards. (25 or 26 of each, depending on if you include jokers.) Therefore, there is an even probability of getting a red card or a black card. It has to be 50%, because that is the only number in which two options can have equal numbers.

Hope this helps! :D

The scatter plot shows a [positive linear] association.

From the question, we have the following parameters that can be used in our computation:

The image of the scatter plot

On the scatter plot, we can see that

The points appear to be on a straight line

Also, we can see that

As the x values increases the y values increases

This represents a positive linear association.

Hence, the association is a positive linear association.

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