Find the number that makes the ratio equivalent to 72:96.

By using the distributive property of subtraction, expression 11x+3y subtracted from 13x+9y is equal to 2x+6y.

The distributive property of subtraction states that when subtracting a value from a sum, the same result can be achieved by subtracting the value from each addend separately and then finding the difference between the two results.

An expression is a combination of numbers, variables, and operators, such as +, -, x, ÷, and parentheses, that represents a mathematical relationship or quantity. It does not contain an equals sign.

According to the given information:

In the given context, the word "from" means to subtract.

So, if we have to subtract 11x+3y from 13x+9y, we can rewrite it as:

(13x+9y) - (11x+3y)

Then, by using the distributive property of subtraction, we can simplify the above expression as follows:

13x+9y - 11x-3y

Now, combining like terms, we get:

2x + 6y

Therefore, 11x+3y subtracted from 13x+9y is equal to 2x+6y.

To know more about Distributive Property of Subtraction visit :

https://brainly.com/question/1232284

#SPJ1

The equation sec(x) - csc(x)/sec(x) + csc(x) = tan(x) - 1/tan(x) + 1 can be simplified to 1 = 1, which means that the equation holds true for all values of x.

To solve the given equation, we'll start by simplifying the left-hand side (LHS). Using the trigonometric identities sec(x) = 1/cos(x) and csc(x) = 1/sin(x), we can rewrite the equation as (1/cos(x)) - (1/sin(x))/ (1/cos(x)) + (1/sin(x)).

To combine the fractions, we find a common denominator, which is cos(x) * sin(x). Multiplying the numerator and denominator of the first fraction by sin(x) and the numerator and denominator of the second fraction by cos(x), we get (sin(x) - cos(x))/ (sin(x) + cos(x)).

Next, we simplify the right-hand side (RHS) of the equation. The tangent function is defined as tan(x) = sin(x)/cos(x), so tan(x) - 1/tan(x) + 1 becomes (sin(x)/cos(x)) - 1/((sin(x)/cos(x))) + 1.

Simplifying the RHS further, we get (sin(x)/cos(x)) - (cos(x)/sin(x)) + 1 = \(\frac{(sin^{2} (x) - cos^{2} (x) + cos(x)sin(x))}{cosxsinx}\) + 1.

Using the trigonometric identity sin²(x) + cos²(x) = 1, we can simplify the numerator of the RHS to sin(x)cos(x) + cos(x)sin(x), which simplifies to 2cos(x)sin(x).

Now, the equation becomes (2cos(x)sin(x))/(cos(x)sin(x)) + 1 = 1 + 1.

Finally, cancelling out cos(x)sin(x) in the numerator and denominator, we obtain 1 + 1 = 2, which simplifies to 1 = 1. This shows that the equation is true for all values of x.

Learn more about tangent here: https://brainly.com/question/10053881

#SPJ11

The equation of the line is (y - 2) = 1.5(x - 4)

What is line ?

Euclid described a line as an "unextended length" that "stands equally with respect to its points"; he introduced the postulates as the main unprovable properties from which he constructed all of geometry, now called Euclidean geometry to avoid confusion with other geometries introduced from the late 19th century (such as non-Euclidean, projective and affine geometry).

In modern mathematics, given the multiplicity of geometries, the concept of line is closely related to the way geometry is described. For example, in analytic geometry, a plane line is often defined as a set of points whose coordinates correspond to a given linear equation, but in a more abstract setting, such as drop geometry, the line may be an object other than the set. of the points located on it.

When geometry is described by a set of axioms, the concept of line is usually left undefined (so-called primitive object). The properties of the lines are then determined by the axioms that refer to them. One of the advantages of this approach is the flexibility it gives users of the geometry. Thus, in differential geometry a line can be interpreted as a geodesic (shortest path between points), while in some projective geometries a line is a 2-dimensional vector space (all linear combinations of two independent vectors). This flexibility also extends beyond mathematics and allows physicists, for example, to think of the path of a light ray as a line.

Given, \(y = 1.5x - 6....(1)\)

We are comparing equation (1) with y = mx+c and get m = 1.5

It is also given required equation passes through the point (4,2)

We know, if slope of a equation m and the equation passes through (a,b) then equation of the line (y-b) = m (x-a)

Here,

\(m = 1.5 \\ a = 4 \\ b = 2\)

So, required equation of the line \((y - 2) = 1.5(x - 4)\)

Line related one more question:

https://brainly.com/question/17188072

#SPJ2

Answer:

6 Apples

Step-by-step explanation:

There would be six apples and 2 oranges left over.

Hope this Helps!

:D

Answer:

I was kind of confused on this one but is it 15 apples?

Step-by-step explanation:

3, 6, 9, 12, 15

4, 8, 12, 16, 20

I think the answer is 15 apples.

Answer:

It is the first answer choice.

Step-by-step explanation.

Use synthetic division and there is no remainder, so -1 is a factor

Answer:

35 Degrees

Step-by-step explanation:

Angle JKL is reffering to the whole angle. The angle is split into two, it gives us the measurement for angle 1 which is 38 degrees. To find the answer we simply subtract angle m from angle JKL. 73-38 = 35... So angle 2 is 35 degrees.

The two expressions are not equal, so the function f(x) = 2x² is also not linear.

To determine if a function is linear, we need to verify if it satisfies the linearity property, which states that for any x and y in the domain of the function and any scalars α and β, the function should satisfy f(αx + βy) = αf(x) + βf(y).

Let's examine each function and determine if it is linear:

f(x) = 3x - 2

To check linearity, we need to verify if f(αx + βy) = αf(x) + βf(y). Let's substitute the values:

f(αx + βy) = 3(αx + βy) - 2

= 3αx + 3βy - 2

On the other hand:

αf(x) + βf(y) = α(3x - 2) + β(3y - 2)

= 3αx - 2α + 3βy - 2β

Comparing the two expressions, we can see that they are not equal, so the function f(x) = 3x - 2 is not linear.

f(x) = 2x²

Using the same logic, let's check linearity:

f(αx + βy) = 2(αx + βy)²

= 2(α²x² + 2αβxy + β²y²)

= 2α²x² + 4αβxy + 2β²y²

On the other hand:

αf(x) + βf(y) = α(2x²) + β(2y²)

= 2αx² + 2βy²

The two expressions are not equal, so the function f(x) = 2x² is also not linear.

In conclusion, neither of the given functions is linear since they do not satisfy the linearity property.

Learn more about linear here:

https://brainly.com/question/31510530

#SPJ11

The equation total amount of flour (f) for making n number of cakes is given by f = 3n

An equation is an expression that shows how numbers and variables are related using mathematical operations. Equations can be linear, quadratic, cubic and so on.

Let f represent the total amount of flour and n represent the number of cakes. Hence:

f = kn

where k is the constant of proportionality.

The baker uses 3 pounds of flour to make cupcakes. Hence:

3 = k(1)

k = 3

f = 3n

The equation is given by f = 3n

Find out more on equation at: https://brainly.com/question/2972832

#SPJ1

The probability of rain tomorrow is the same regardless of whether it has rained in the past two days or not. Therefore, we cannot use the given information to make a prediction about the weather tomorrow.

In example 4.4, we are given a situation where it has not rained in the past two days. The question asks for the probability of rain tomorrow. This type of question falls under the category of conditional probability. In conditional probability, we find the probability of an event given that another event has already occurred.
To solve this problem, we can use Bayes' theorem. Bayes' theorem states that the probability of an event A given that event B has occurred is equal to the probability of event B given that event A has occurred multiplied by the probability of event A divided by the probability of event B.
Let us define the events in this problem as follows:
A = It will rain tomorrow
B = It has not rained in the past two days
Using the given information, we know that P(B) = 0.75 (since there are four possible outcomes: rain yesterday, rain day before yesterday, rain both days, no rain both days, and we are given that the latter has occurred). We need to find P(A|B).
To find P(A|B), we need to find P(B|A), which is the probability that it has not rained in the past two days given that it will rain tomorrow. Since we do not have any information about the relationship between these two events, we can assume that they are independent.
Therefore, P(B|A) = P(B) = 0.75
Now, we can use Bayes' theorem to find P(A|B):
P(A|B) = P(B|A) * P(A) / P(B)
P(A|B) = 0.75 * P(A) / 0.75
P(A|B) = P(A)
This means that the probability of rain tomorrow is the same regardless of whether it has rained in the past two days or not. Therefore, we cannot use the given information to make a prediction about the weather tomorrow.

for more questions on probability

https://brainly.com/question/24756209

#SPJ11

Answer:

\(\large\boxed{\tt x = 2}\)

Step-by-step explanation:

\(\textsf{We are asked to solve for x in the given equation.}\)

\(\textsf{We should know that x is cubed, meaning that it's multiplied by itself 3 times.}\)

\(\textsf{We should isolate x on the left side of the equation, then find x by cubic rooting}\)

\(\textsf{both sides of the equation.}\)

\(\large\underline{\textsf{How is this possible?}}\)

\(\textsf{To isolate variables, we use Properties of Equality to prove that expressions}\)

\(\textsf{are still equal once a constant has changed both sides of the equation. A Cubic}\)

\(\textsf{Root is exactly like a square root, but it's square rooting the term twice instead}\)

\(\textsf{of once.}\)

\(\large\underline{\textsf{For our problem;}}\)

\(\textsf{We should use the Subtraction Property of Equality to isolate x, then cubic root}\)

\(\textsf{both sides of the equation.}\)

\(\large\underline{\textsf{Solving;}}\)

\(\textsf{Subtract 1 from both sides of the equation keeping in mind the Subtraction}\)

\(\textsf{Property of Equality;}/tex]

\(\tt \not{1} - \not{1} - x^{3} = 9 - 1\)

\(\tt - x^{3} = 8\)

\(\textsf{Because x}^{3} \ \textsf{is negative, we should exponentiate both sides of the equation by}\)

\(\textsf{the reciprocal of 3, which is} \ \tt \frac{1}{3} .\)

\(\tt (- x^{3})^{\frac{1}{3}} = 8^{\frac{1}{3}}\)

\(\underline{\textsf{Evaluate;}}\)

\(\tt (- x^{3})^{\frac{1}{3}} \rightarrow -x^{3 \times \frac{1}{3} } \rightarrow \boxed{\tt -x}\)

\(\textsf{*Note;}\)

\(\boxed{\tt A^{\frac{1}{C}} = \sqrt[\tt C]{\tt A}}\)

\(\tt 8^{\frac{1}{3}} \rightarrow \sqrt[3]{8} \rightarrow 2^{1} \rightarrow \boxed{\tt 2}\)

\(\underline{\textsf{We should have;}}\)

\(\tt -x=2\)

\(\textsf{Use the Division Property of Equality to divide each side of the equation by -1;}\)

\(\large\boxed{\tt x = 2}\)

Given data are: Payment of $150 at the end of each of the next 3 years,Payment of $250 at the end of Year 4,Payment of $400 at the end of Year 5,Payment of $500 at the end of Year 6,Rate of interest = 8% annually

Hence, the Present Value of the investment is $382.20

Present value and future value of investment Formula used: PV = Pmt/(1+r)^n,

FV = Pmt((1+r)^n-1)/r

Let's find the Present Value of the Investment: Given, n = 3 years

Pmt = $150

Rate = 8% annually

PV = 150/(1+8%)³

PV = $382.20

Let's find the Future Value of the Investment: Given, n1 = 3 years

Pmt1 = $150

Rate = 8% annually

n2 = 1 year

Pmt2 = $250

n3 = 1 year

Pmt3 = $400

n4 = 1 year

Pmt4 = $500

FV = (150((1+8%)³-1)/8%)+((250+400+500)(1+8%)³)

FV = $1579.51

Hence, the Future Value of the investment is $1579.51.

To know more about Payment visit:

https://brainly.com/question/32320091

#SPJ11

Answer:

5

Step-by-step explanation:

(125) ^ 1/3

What number multiplied by itself 3 times is 125

5*5*5

25*5

125

Answer:

5

Step-by-step explanation:

5^3=125

So the cube root of 125 is 5.

Answer:

117/484

Step-by-step explanation: hope this helps!

Answer:

P(w) = 13/22

Step-by-step explanation:

To find the probability, put the total, 88 on the bottom. Then put the "white", 52, on top.

Probability to play a white key:

52/88

4 goes into both these numbers. Divide by 4 on top and bottom to simplify.

52÷4 / 88÷4

= 13/22

The probability is 13/22

Muscular strength can be measured based on the amount of weight lifted.

Muscular strength can be measured based on the amount of weight lifted. The upper-body and lower-body strength are measured separately. Muscular strength is typically measured which is known as a One Rep Max (1RM).

learn more about muscular strength from

https://brainly.com/question/4088369

#SPJ4

Answer:

a: y = -2x   b: y = 2x - 1

Step-by-step explanation:

a: because -2=m= a negative slope. because b=0, the y-intercept=0=origin

b: 2x=positive slope= upwards from left to right. because the y-inter. = -1, -1 is less than 0=below x-axis

Answer:

Experimental probability

Your Welcome

9514 1404 393

Answer:

  see attached

Step-by-step explanation:

When rotation is 180° or 360°, the direction is immaterial. The result is the same no matter which direction you go.

Normal probability distribution is applied to a continuous random variable. The correct option is D.

The normal probability distribution, also known as the Gaussian distribution, is a probability distribution that is commonly used in statistics and probability theory. It is a continuous probability distribution that is often used to model the behavior of a wide range of variables, such as physical measurements like height, weight, and temperature.

The normal distribution is characterized by two parameters: the mean (μ) and the standard deviation (σ). It is a bell-shaped curve that is symmetrical around the mean, with the highest point of the curve being located at the mean. The standard deviation determines the width of the curve, and 68% of the data falls within one standard deviation of the mean, while 95% falls within two standard deviations.

The normal distribution is widely used in statistical inference and hypothesis testing, as many test statistics are approximately normally distributed under certain conditions. It is also used in modeling various phenomena, including financial markets, population growth, and natural phenomena like earthquakes and weather patterns.

Overall, the normal probability distribution is a powerful tool for modeling and analyzing a wide range of continuous random variables in a variety of fields.

To learn more about continuous random variable refer here:

https://brainly.com/question/17238189

#SPJ11

Using the definition of divisibility, 2p is the greatest common factor.

In the given question we have to factor out the greatest common factor. If the greatest common factor is 1, just retype the polynomial.

The given polynomial is 2p^3+6p.

Now taking 2p common from both terms

=2(p^2+3)

By the definition of divisibility, we get

2p | 2p^3 and 2p|6p, 2| 2p^3 and 2|6p also p|2p^3 and p|6p.

So, 2,p and 2p are common factors of 2p^3 and 6p.

Hence, 2p is the greatest common factor.

To learn more about definition of divisibility link is here

brainly.com/question/14316622

#SPJ4

The right answer is:

Factor out the greatest common factor. If the greatest common factor is 1, just retype the polynomial.

2p^3+6p

Answer:

Side PS = 35cm

X = 19

Note : Add all the sides up in order to equal it to the perimeter to find x.

Answer: The point (-2, 4) is on the circle (x - 5)^2 + (y + 3)^2 = 25.

Step-by-step explanation: The point (-2, 4) is on the circle (x - 5)^2 + (y + 3)^2 = 25. To check if a point is on the circle, we can substitute the point's x and y coordinates into the equation of the circle. If the equation is true, then the point is on the circle. In this case, substituting (-2, 4) into the equation of the circle.

To determine the radius of curvature of a convex mirror, we can use the mirror formula, which relates the object distance (d₀), image distance (dᵢ), and the radius of curvature (R) of the mirror. The formula is given by:

1/f = 1/d₀ + 1/dᵢ In this case, the object distance is negative (-38 cm) since the object (car) is located behind the mirror. Assuming the car is very far away, we can approximate the object distance as being approximately equal to the radius of curvature of the mirror (R). Substituting the values into the mirror formula: 1/R = 1/-38 + 1/dᵢ

Since we are looking for the radius of curvature, we need to find the image distance (dᵢ). Without further information, we cannot determine the image distance or the exact value of the radius of curvature. However, based on the given information, we can conclude that the radius of curvature of the convex mirror is approximately -38 cm, assuming the car is very distant and the object distance is approximately equal to the radius of curvature. The negative sign indicates that the convex mirror has a positive curvature.

Learn more about radius here: brainly.com/question/32248756

#SPJ11

To identify the vertical asymptotes, we have to factor the denominator. For horizontal asymptotes, we compare the degrees of the numerator and denominator.

For rational functions, there are vertical and horizontal asymptotes. To identify the vertical asymptotes, we first have to factor the denominator. After that, we should look for values that make the denominator zero. These values can be found by setting the denominator equal to zero and solving for x. The resulting x values would be the vertical asymptotes of the function.

The horizontal asymptote is the line that the function approaches as x goes towards infinity or negative infinity. For rational functions, the horizontal asymptote is found by comparing the degrees of the numerator and the denominator.

If the degree of the numerator is less than the degree of the denominator, the horizontal asymptote is y = 0. If the degree of the numerator is equal to the degree of the denominator, the horizontal asymptote is y = the ratio of the leading coefficients. If the degree of the numerator is greater than the degree of the denominator, there is no horizontal asymptote.

To know more about the vertical asymptotes visit:

https://brainly.com/question/31315562

#SPJ11

Answer:

1.2 yard i got it right!

Step-by-step explanation:

The difference between hypothesis tests for two means with equal variances and with unequal variances lies in the assumption about the population variances.

When conducting a hypothesis test for two means with equal variances, the assumption is that the variances of the two populations from which the samples are drawn are equal. This is known as the equal variance assumption. In this case, a common pooled variance estimate is used to calculate the standard error of the difference in means.

On the other hand, when performing a hypothesis test for two means with unequal variances, there is no assumption of equal variances. The standard error of the difference in means is calculated separately for each sample, taking into account their respective variances. This approach, called the separate variances method, allows for more flexibility in situations where the population variances are not equal.

In summary, the difference between hypothesis tests for two means with equal variances and unequal variances is the assumption made about the population variances and the method used to calculate the standard error of the difference in means.

Know more about hypothesis tests here,

https://brainly.com/question/17099835

#SPJ11

Answer:

There is no y-intercept.

Step-by-step explanation:

x = -8 has an undefined slope which means that it will never have a y-intercept unless it is x = 0.

Answer:

50/77

Step-by-step explanation:

(1÷2 3/4)+(1÷3 1/2)

2 3/4 is same as 11/44

1/2 is same as 7/2

so to divide fraction you have to flip the second number and multiply

so 1 times 4/11=4/11

and 1 times 2/7=2/7

4/11 +2/7=28/77+22/77=50/77

Answer: 2.865Feet.

Step-by-step explanation: The problem is really asking:

What is the difference in the radii of two circles, one having a circumference (C1) of 25,000 miles and the other having a circumference (C2) of 25,000 miles + 18 feet.

The circumference (C) of a circle, in terms of the radius (r), is given by:

C=2×π29r Rewrite this in terms of r.

r=C/2×π

For the first circumference (C1=25,000 miles), we can write:

r1+=+C1%2F2%28pi%29

For the expanded circumference (C2=25,000 mi + 18 ft) we can write:

r2+=+C2%2F2%28pi%29

To find the difference (d), we'll subtract r1 from r2.

d+=+C2%2F2%28pi%29+-+C1%2F2%28pi%29

d+=+%28C2-C1%29%2F2%28pi%29

But C2-C1+=+18feet

So:

d+=+18%2F2%28pi%29

d+=+9%2F%28pi%29

d+=+2.865Feet.