A system of equations can be written to represent coln and pricing problems. True or False.
O True
O False

Answer:

true

Step-by-step explanation:

Answer:

true. you should

Step-by-step explanation:

Answer:

The independent variable is the variable that is manipulated or changed during an experiment. In this case, the independent variable is represented by the x-values of the given points.

So, the answer would be option A: {-2, 3, 1, 5}

Step-by-step explanation:

brainliest Plsssss

The answer to the simplified expression 4⁹/4³ in index form is derived to be equal to 4⁶

To simplify a fraction written in index form, you can first express the numbers in prime factorization form by writing both the numerator and denominator as a product of prime factors. Identify common prime factors in the numerator and denominator and cancel them out. Then write the remaining factors as a product in index form.

Given the fraction 4⁹/4³, we can simplify as follows:

4⁹/4³ = (4 × 4 × 4 × 4 × 4 × 4 × 4 × 4 × 4)/(4 × 4 × 4)

we can cancel out (4 × 4 × 4) from both the numerator and denominator, living us with;

4⁹/4³ = 4 × 4 × 4 × 4 × 4 × 4

4⁹/4³ = 4⁶

Therefore, the answer to the simplified expression 4⁹/4³ in index form is derived to be equal to 4⁶

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Answer:

when you 4, your sister is 2 years old

now that you 100, your sister should be 50 years old

half equal x/2 x indicates 100

We may claim that the connection is equal as both sides of both the equation were equal.

A formula that explains how two expressions on either side of a sign are connected. It typically has an equal sign and one variable. akin to this 2. 2x - 4 = 2. The instance before has the integer x.

As every word with just an equals sign is an equation, your example is one as well. Equations are frequently utilized in mathematical equations because mathematicians love equal signs.

Before deciding if the ratios are proportional, we must first determine if they are equal.

\(1/2 = 0.5\)

\(1.5/3 = 0.5\)

Cross-multiplying is another way we can verify.

\(1/2 = 1.5/3\)

\(3 * 1/2 = 1.5\)

\(1.5 = 1.5\)

We may claim that the connection appears proportionate when both sides of a problem are equal.

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Answer:

30

Step-by-step explanation:

use Pythagoras theorem at first to find the third side of the triangle it will come 5

then use the formula to find the area of triangle

A=(5x12)/2=30cm2

Answer: Y=4x-5

That should be write thats what i got

Solution: 0 = 2y - 8x + 10

=> - 2y = - 8x + 10

=> 2y = 8x - 10

=> y = 4x - 5

Answer:

3990 miles

Step-by-step explanation:

570 miles per hour

7 hours

570x7=3990

Answer:

2.86cm

Step-by-step explanation:

Step 1:

Data obtained from the question. This includes the following:

Volume (V) = 187cm3

Height (h) = 7.3cm

Pi (π) = 3.14

Radius (r) =..?

Step 2:

Determination of the radius of the cylindrical water bottle.

The radius of the cylindrical water bottle can be obtained as follow:

V = πr^2h

187 = 3.14 x r^2 x 7.3

Divide both side by 3.14 x 7.3

r^2 = 187 / (3.14 x 7.3)

Take the square root of both side

r = √[187 / (3.14 x 7.3)]

r = 2.86cm

Therefore, the radius of the cylindrical water bottle is 2.86cm

Answer:

f(2) = -10

f(4) = -6

f(-3) = 15

Step-by-step explanation:

f(x) = x^2 - 4x - 6

To find f(2), substitute 2 in place of the x in x^2 and -4x.

f(2) = 2^2 - 4(2) - 6

= 4 - 8 - 6

= -4 - 6

= -10

f(2) = -10

f(4) = 4^2 - 4(4) - 6

= 16 - 16 - 6

= 0 - 6

= -6

f(4) = -6

f(-3) = (-3)^2-4(-3)-6

= 9 + 12 - 6

= 21 - 6

= 15

f(-3) = 15

Answer:

67%

Step-by-step explanation:

I added 48%+19%

Answer:

C = .40n

Step-by-step explanation:

The line shows that the graph is proportional.  I know this because the graph is linear and goes through the origin (0,0).  This means that I can take any point and put it in the form y/x to find the slope.

I took the point (10,4) on the graph.  I put that in the form y/x = 4/10.  4/10 = .40 which is my slope.

C= .40n

Okay so I rounded 4.35 to 4.4 and then multiplied 4.4 by 38 and got 167.2

Answer:

B

Step-by-step explanation:

A or constant is the answer

Answer:

x < 4

Step-by-step explanation:

Step 1: Write inequality

5x < 20

Step 2: Solve for x

Here we see that any number less than 4 will work. So numbers like 3, 0, or even -12587235897 would work.

The indifference curve equation given is x2 = 20 - 4x^(1/2)*1, where x1 and x2 represent the quantities of two goods Ambrose is consuming.

The marginal rate of substitution (MRS) measures the rate at which Ambrose is willing to trade one good for the other while remaining on the same indifference curve. It is calculated as the negative ratio of the derivatives of the indifference curve with respect to x1 and x2, i.e., MRS = -dx1/dx2. Given that Ambrose is consuming the bundle (4,16), we can substitute these values into the indifference curve equation to find the corresponding MRS.  Plugging in x1 = 4 and x2 = 16, we have: 16 = 20 - 4(4)^(1/2)*1; 16 = 20 - 8; 8 = 8. This confirms that the bundle (4,16) lies on the indifference curve. Now, we are given that the MRS at this point is 25/4.

Therefore, we can set up the following equation: dx1/dx2 = 25/4. Simplifying, we have: dx1/dx2 = -25/4. This indicates that the rate at which Ambrose is willing to trade good x1 for good x2 at the bundle (4,16) is -25/4. The MRS represents the slope of the indifference curve at a given point and reflects the trade-off between the two goods. In this case, it indicates that Ambrose is willing to give up 25/4 units of good x1 in exchange for one additional unit of good x2 while maintaining the same level of satisfaction.

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See attachment for math work and answer.

The probability of making 69 coin tosses correctly is 1 in 269 or approximately 1 in 590295810358705700000. To be 99% certain, the probability of making no mistakes out of n predictions should be less than 1% or 0.01. The logarithm of both sides shows that n > log(0.01) / log(1 - p). The smallest number of predictions in a row where the probability is at least 99% is 69 predictions.

The probability of making a prediction correctly out of 69 coin tosses is 1 in 269 or approximately 1 in 590295810358705700000. To be 99% certain, the probability of making no mistakes out of n predictions should be less than 1% or 0.01: P(0) = (1 - p)n  0.01 According to the binomial probability formula, the probability of making k successful predictions out of n total predictions when the probability of a successful prediction is p is given by the formula :P(k) = C(n, k) × pᵏ × (1 - p)^(n - k)where C(n, k) = n! / (k! × (n - k)!) is the number of ways to choose k successful predictions out of n total predictions .Taking the logarithm of both sides, we get: n  log(1 - p)  log(0.01)n > log(0.01) / log(1 - p). For p = 0.5, we have: n > log(0.01) / log(0.5) = 6.6439 For p = 0.51, we have: n > log(0.01) / log(0.49) = 69.3155 Thus, the smallest number of predictions in a row where you are at least 99% certain your friend will make a mistake is 69 predictions.

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Answer:

y=4

Step-by-step explanation:

84=30y-9y, first you collect like terms.

84=21y, swap the sides

21y=84, devide both sides and you get y =4

Sara, as a social worker at an inner-city public school, has worked with 200 high school students to improve their study skills.

You'll assist people in finding answers to their difficulties as a social worker.

This could involve supporting people to live independently or shielding vulnerable persons from injury or abuse.

You will interact with clients, their families, people in the immediate vicinity, and a variety of clientele, including the elderly.

Sara, as a social worker at an inner-city public school, has worked with 200 high school students to improve their study skills.

Now, she wants to determine if their grades have increased. To do this, she should analyze the grade point averages (GPAs) of the students.

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Answer:

Answer: A) -8

Step-by-step explanation:

The image shows the triangle where it can be noted that two of its sides are congruent (according to the tick marks). This forms an isosceles triangle that also has two congruent angles as shown in the image below.

The other angle (2) has a measure of x+88.

The sum of the internal angles of the triangle must be 180°, thus:

x + 88 + 50 + 50 = 180

Simplifying:

x + 188 = 180

x = 180 - 188 = -8

x = -8

Answer: A) -8

The simplified value of the expression √900 + √0.09 + √0.000009 is 30.303.

To simplify the given expression, let's evaluate the square roots individually and then perform the addition.

√900 = 30, since the square root of 900 is 30.

√0.09 = 0.3, as the square root of 0.09 is 0.3.

√0.000009 = 0.003, since the square root of 0.000009 is 0.003.

Now, we can add these simplified values together

√900 + √0.09 + √0.000009 = 30 + 0.3 + 0.003 = 30.303

Therefore, the simplified value of the expression √900 + √0.09 + √0.000009 is 30.303.

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Ahlam needs to give the shopkeeper $15 more to get a balance of $25.

Word problems in Mathematics are mathematical approaches we make use of in our ongoing day to day activities. Algebra leading to word problems usually consist of numbers, variables, and its arithmetic operations.

Ahlam bought goods worth = $90, If she gave the shopkeeper $100, then she will collect $100 - $90 = $10 back.

But if the shopkeeper did not have an exact balance and Ahlam decided to give the shopkeeper $x to get a balance of $25.

Then we can write the expression as:

10 + x = 25

x = 25 - 10

x = 15

Therefore, we can conclude that Ahlam needs to give the shopkeeper $15 more to get a balance of $25.

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the given form of the rate function:\(tan² (t) + 1 = sec²\)(t)

Therefore, we can write the given function as:c (t) dtUsing integration by substitution, we haveu = tan (t) ⇒ du = sec² (t) dt

Therefore,S \(π/t tan (t) sec² (t) dt= S u du= ln |tan (t)| + C\)Thus, the equivalent closed form of the given function is:S π/t 4tan (t) dt= 4 ln |tan (t)| + C

a. S π/π/4 5t+4/t² + 1 dt equivalent closed formThe question demands to find an equivalent closed form for each function. So let's find the equivalent closed form for the given functions:a. S π/π/4 5t+4/t² + 1 dt

Hint: begin by writing as a sum of two functionsNow, we need to write the given function as a sum of two functions. Let's first write the numerator of the function as a sum of two functions.

Using the formula, a²-b² = (a+b)(a-b), we have5t + 4 = (2 + √21)(√21 - 2)Therefore, we can write the numerator of the function as follows:5t + 4 = (√21 - 2)² - 17Using this in the given function,

we haveπ/π/4 [(√21 - 2)² - 17]/t² + 1 dtLet's further simplify the numeratorπ/π/4 [21 + 4 - 4√21 - 17t² + 34t - 17] / (t² + 1) dt= π/π/4 [-17t² + 34t + 8 - 4√21]/(t² + 1) dtLet's now find the closed form of this function using the integration formulaS f(x) dx = ln |f(x)| + C Therefore, the equivalent closed form of the function is:

S π/π/4 5t+4/t² + 1 dt= π/π/4 [-17t² + 34t + 8 - 4√21]/(t² + 1) dt= - π/2 ln |t² + 1| + 34 π/2 arctan (t) - 17 π/2 t + 2 π/√21 arctan [(2t-√21)/ √21] + Cb. S π/t 4tan (t) dt equivalent closed formNow, let's find the equivalent closed form of the second given function.b. S π/t 4tan (t)

dtHint: begin by using a trig identity to change the form of the rate function Let's now use the following trig identity to change

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Step-by-step explanation:

As we know that ,

Angles opposite to equal sides are equal .

Using this theorem ,

=> y + 12 = 3x - 5

Also ,

=> 3x - 5 = 5y - 4

from above two ,

=> y + 12 = 5y - 4

=> 4y = 16

=> y = 16/4

=> y = 4

So that ,

=> 3x - 5 = 4 + 12

=> 4x = 16 + 5

=> x = 21/4

=> x = 5.25

The term for the value that occurs most often in a series of numbers is called the mode.

The mode is one of the three main measures of central tendency, along with the mean and the median. It is a useful descriptive statistic that can provide insights into the characteristics of a dataset.

To find the mode of a set of data, you first need to arrange the data in order, either in increasing or decreasing order. Then, you simply identify the most frequent data point, which is the mode. In some cases, there may be more than one mode if multiple data points occur with the same maximum frequency.

The mode is particularly useful when dealing with categorical or nominal data, where there are distinct categories or values that cannot be ordered in a meaningful way. For example, the mode can help identify the most popular color among a group of people or the most common type of car on a given street. It can also be used for continuous data, although it may be less useful in this case than the mean or median.

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Answer:

20

Step-by-step explanation:

Because it's vertically opposite

Answer: \(\frac{5x-29}{6}\)

Step-by-step explanation:

To simplify the equation, we can just subtract the 2 fractions. First, we need to make sure they have a common denominator.

\(\frac{2(x-7)}{6} -\frac{3(5-x)}{6}\)

Now that the fractions have the same denominator, we can distribute the numerator and subtract.

\(\frac{2x-14}{6} -\frac{15-3x}{6} =\frac{2x-14-15+3x}{6} =\frac{5x-29}{6}\)