Consider function g(x) = 6x - 8 sin(x) on interval [0, pi/2].Use an (x, y) table with interval endpoints and critical numbers as 0-values to find the absolute
extrema.
The absolute minimum value of the function is
The absolute maximum value of the function is

The expression should be substituted into the first equation is "x = 8 -2y"  and also the value of x = 3 and y = 2.5

What do you mean by substitution?

The substitution method is an algebraic strategy for resolving simultaneous linear equations. This approach, as the name suggests, involves substituting the value of one variable from one equation into the second equation. This makes it easier to answer a pair of linear equations by combining them into a single equation with a single variable.

The equations given in the question,

2x - 4y = -4

x + 2y = 8

Let these two equation be named as 1 and 2 respectively.

Taking equation 2 and making x stay one side and all others on other side of the equation. We get,

x = 8 -2y

Substituting this value of x in equation 1.

2x - 4y = -4

2(8 - 2y) - 4y = -4

y = 2.5

substituting this value of y in equation 2,

x + 2y = 8

x = 8 - 5

x = 3

Therefore, The expression should be substituted into the first equation is "x = 8 -2y"  and also the value of x = 3 and y = 2.5

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Complete Question

Using substitution to solve the system below, what expression should be substituted into the first equation? 2x-4y=-4 and x+2y=8

Answer:

1) AD = 9 in

2) DE = 9.25 in

3) ∠EDC = 36°

4) ∠AEB = 108°

5) 11.5 in

Step-by-step explanation:

1) AD = BC = 9in

2) AC = BD (diagonals are equal)

⇒ BD = 14.25

⇒ BE + DE = 14.25

⇒ 5 + DE = 14.25

DE = 9.25

3) Since AB ║CD,

∠ABE = ∠EDC = 36°

4) ∠ABE = ∠BAE = 36°

Also ∠ABE + ∠BAE + ∠AEB = 180 (traingle ABE)

⇒ 36 + 36 + ∠AEB = 180

∠AEB = 108

5) midsegment = (AB + CD)/2

= (8 + 15)/2

11.5

Answer:

Prime numbers:

11, 61, 43, and 29.

Step-by-step explanation:

A prime number is a natural number greater than 1 that is not a product of two smaller natural numbers.

For example:

13 has only two factors, itself and 1. So, it is a prime number.

4 has three factors, itself, 1, and 2. So, it is not a prime number.

Your other answers are correct.

Hope this helped!

Answer:

x-12=19

x=19+12

X=31........

Answer:31

Step-by-step explanation:

X-12=19. Add 12 to both sides x=31

Comparing it to a system of equations, the expression is represented as follows:

18g + 5.

A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

For this problem, we consider g as the variable. Then:

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Answer:

Hello! Is there a picture so I can answer this?

Step-by-step explanation:

Tell me, then I'll answer!

Answer:

in jh ynhtym

hunt ghb JBL iggmmjuu ki ju nu j

Ratio compares two things. The length of the trail, in reality, is 6.75 km.

A scaling ratio helps us to compare two things.

Given to us

The scale on the map states that 2 centimeters represent 3 kilometers.

Length of the trail on the map, L = 4.5 cm = 0.045 m

As we know that 2 centimeters represent 3 kilometers. therefore,

\(\rm \dfrac{Map}{Real} = \dfrac{0.02\ m}{3000\ m}\)

We know that the Length of the trail on the map is 0.045 m,

\(\rm \dfrac{L}{L'} = \dfrac{0.02\ m}{3000\ m}\)

Substitute the value,

\(\rm \dfrac{0.045}{L'} = \dfrac{0.02\ m}{3000\ m}\\\\L' = 6750\ m\\\\L' = 6.750\ km\)

Hence, the length of the trail, in reality, is 6.75 km.

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Standard form

Ax+By= c

y= -4/5x -1/2

4/5x+y =-1/2

We are partitioning the total variance into two meaningful parts.

What is the variance?

In probability theory and statistics, variance is defined as a random variable's squared deviation from its mean. The variance is frequently expressed as the square of the standard deviation. Variance is a measure of dispersion, which means it measures how far apart a set of numbers is from their average value.

Here,

We have two potential sources of variance in our data in a one-way ANOVA: among-groups and within-groups.

The variation among our groups is known as the explained variation because the element that accounts for it is rock type. We also have variation inside our groups, that is, variation among the replicates within each group, which is known as unexplained variation because it cannot be attributed to a component.

ANOVA divides the variability among all values into two components: one due to variability among group means (due to treatment) and the other due to variability within groups (also known as residual variation).

Hence, we are partitioning the total variance into two meaningful parts.

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Answer:

-25b - 20

Step-by-step explanation:

Answer:

-25b -20

Step-by-step explanation:

distribute

-30b - 30 + 5b + 10

combine like terms

-25b -20

Because there is no = sign that is all I can do to this equation

If you need further help i am happy to converse about it in comments

Hope this helped! pls give branliest so i can level up

Answer:

(15/100*percentage fee* x O*Original price* + C*car price*)

1 expression: (15/100 x O) + C

2 expression: (15/100 + C) x (O + C)

3 expression: C + (O x 15/100)

Answer:

adding 2 circles on the left and one square on the right

Step-by-step explanation:

Answer:

what grade you in

this looks like 4th grade

Answer:

x = 35, ∠ BDE = 130°

Step-by-step explanation:

(4x - 10) and (x + 95) are corresponding angles and are congruent, then

4x - 10 = x + 95 ( subtract x from both sides )

3x - 10 = 95 ( add 10 to both sides )

3x = 105 ( divide both sides by 3 )

x = 35

Thus

∠ BDE = 4x - 10 = 4(35) - 10 = 140 - 10 = 130°

In an experiment on a damped spring oscillator with spring constant n/m, student c obtains the displacement vs time curves as in fig. 2(a), and records the maximum displacement data points as below is y = - 3.7148.

Here we have to find the displacement for the graphs of y and t that is maximum and We can find that by y = mc where m, = slope, c= intercept.

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In the question, the independence assumption may have been violated, while the Nearly Normal Condition is likely justified. Therefore, the use of the Student-t model for inference may be unreliable.

a) In order to perform a hypothesis test on the claim made by the diet guide, we need to assess the assumptions and conditions required for reliable inference. The independence assumption states that the observations are independent of each other. In this case, it is not explicitly mentioned whether the yogurt samples were independent or not. If the samples were obtained from the same batch or were not randomly selected, the independence assumption could be violated.

Regarding the Nearly Normal Condition, which assumes that the population of interest follows a nearly normal distribution, it is reasonable to assume that the distribution of calorie counts in vanilla yogurt is approximately normal. However, since we do not have information about the population distribution, we cannot definitively justify this condition.

b) The appropriate hypotheses for testing the claim made by the diet guide would be:

H0: The average calories per serving of vanilla yogurt is 120.

HA: The average calories per serving of vanilla yogurt is not equal to 120.

To test these hypotheses, we can use a t-test for a single sample. The test statistic (t) can be calculated by taking the mean of the sample calorie counts and subtracting the claimed average (120), divided by the standard deviation of the sample mean. The p-value can then be determined using the t-distribution and the degrees of freedom associated with the sample.

Without the actual sample mean and standard deviation, it is not possible to provide the specific test statistic and p-value for this scenario. These values need to be calculated using the given data (calorie counts) in order to draw a conclusion about the claim made by the diet guide.

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The expression you provided is:

(C² + 2cd - 15d²) / (4c² + 20cd)

To simplify this expression, we can factor the numerator and denominator if possible, and then cancel out any common factors:

Numerator: C² + 2cd - 15d²

The numerator does not appear to be factorable.

Denominator: 4c² + 20cd

We can factor out a common factor of 4 from each term:

4(c² + 5cd)

Now we can simplify the expression by canceling out the common factors:

(C² + 2cd - 15d²) / (4c² + 20cd) = (C² + 2cd - 15d²) / 4(c² + 5cd)

Therefore, the simplified expression is (C² + 2cd - 15d²) / 4(c² + 5cd).

The friend is correct. Split the 2D figure as indicated in the diagram below. The rectangle on the left rotates to form the cylinder. The triangle rotates to form the cone. Think of these as like a revolving door that carves out a 3D shape. Or you could think of propellers.

The units g/cm3 and kg/m3 are both used to express the density of a material, which is a measure of its mass per unit volume. Here's how you can convert g/cm3 to kg/m3: Multiply the density in g/cm3 by a conversion factor of 10^-3. Divide the result by a conversion factor of 100^3.

The conversion between g/cm3 and kg/m3 involves multiplying the density in g/cm3 by a conversion factor that takes into account the differences in units of mass (g vs. kg) and volume (cm3 vs. m3).

For example, let's consider the density of water, which is 1 g/cm3. To convert this density to kg/m3, we multiply by 10^-3 to get 0.001 kg/g. Then, we divide by 100^3 to get the final result: 1 g/cm3 * 10^-3 kg/g / 100^3 cm^3/m^3 = 0.001 kg/g * 1/10^9 cm^3/m^3 = 0.001/10^9 kg/m^3 = 1 kg/m^3.This is how you can convert g/cm3 to kg/m3.

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The equation -5x + y = 2 in slope-intercept form is y = 5x + 2.

The line with m as the slope, m and c as the y-intercept is the graph of the linear equation y = mx + c. The values of m and c are real integers in the slope-intercept form of the linear equation.

To write these equations in slope-intercept form, we need to isolate y on one side of the equation.

-5x + y = 2

Adding 5x to both sides, we get:

y = 5x + 2

Therefore, the equation -5x + y = 2 in slope-intercept form is y = 5x + 2.

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Answer:

To determine which test Elena got a higher ratio of correctly spelled words to total words, we need to calculate the ratio of correctly spelled words to total words for each test and compare them.

For last week's test, the ratio of correctly spelled words to total words is:

16/20 = 0.8

For this week's test, the ratio of correctly spelled words to total words is:

13/15 ≈ 0.867

Since 0.867 is greater than 0.8, Elena got a higher ratio of correctly spelled words to total words on this week's test. Therefore, the new studying method appears to be working better for Elena. However, it is important to note that a single comparison is not sufficient to draw a definitive conclusion about the effectiveness of the studying method, and it would be beneficial for Elena to continue tracking her performance over a longer period of time.

Answer:

3x-15

Step-by-step explanation:

(x-5)(8-5)

(x-5)(3)

re-order

(x-5)×3

3(x-5)

Distribute

3(x-5)

3x-15

Therefore , the solution of the given problem of average comes out to be the average price of a pizza in 2000 was about $9 (or half of $18).

An organised collection's median value is the precise value that makes up the collection's mean. In this case, the ratio between the lowest and highest 50% of the data is a normal but rather probability measure. When finding the middle and mode, a variety of algorithms can be applied in order to identify any unusual or even amounts of values.

Here,

By dividing 72 by the interest rate, we can calculate how many years it will take an investment to double in value at a specific interest rate. This is known as the law of 72. In this instance

With an inflation rate of 3.25 percent, it takes roughly how many years for the price of a pizza to double as a result of inflation:

72 / 3.25 = 22.15 years

In light of this, we can calculate that a pizza cost $9 (half of $18) roughly 22 years ago, which corresponds to the following year:

2022 - 22 ≈ 2000

As a result of inflation running at an average of 3.25% for many years, the average price of a pizza in 2000 was about $9 (or half of $18).

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In this stanza from Alfred, Lord Tennyson's poem "The Charge of the Light Brigade," the theme of duty is portrayed through the soldiers' unquestioning obedience to their orders.

Despite knowing that someone had made a mistake, the soldiers do not question or reason with their command; their responsibility is to "do and die."

This is significant considering the historical context of the poem, which is the Battle of Balaclava during the Crimean War.

The Light Brigade's blind obedience to their orders led them into a tragic and deadly charge against a heavily fortified enemy.

The stanza emphasizes the importance of duty in a soldier's life and the consequences it can have when orders are flawed.

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Answer:

x=-72/11 y=-48/11

Step-by-step explanation:

yw !

Given that the dimensions of the poster are Length = 24 cm and Width = 36 cm. We have to find the dimensions of the poster at a fraction 1/4 times its current size. the dimensions of the poster at fraction 1/4 times its current size would be L = 6 cm and W = 9 cm.

Let's see how to solve the problem.The area of a rectangle is given by;A = Length x WidthLet the new dimensions of the poster be length = L and width = W. Then, we have;New area of the rectangle = 1/4 x current area of the rectangleSubstituting the values we get;New area = 1/4 x (Length x Width)New area = 1/4 x (24 cm x 36 cm)New area = 1/4 x 864 sq cmNew area = 216 sq cm

As we know that the area of a rectangle is given by the product of its length and width. Hence, L x W = 216 sq cm.We also know that the new dimensions of the poster are 1/4 times the current dimensions of the poster. Thus;L = 1/4 x 24 cmL = 6 cmW = 1/4 x 36 cmW = 9 cmTherefore,

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Step-by-step explanation:

function is a binary relation between two sets that associates to each element of the first set exactly one element of the second set. for ex. if x include 1,2,3 and y include 0,9.8 we aaythere is a relation between x and y that make 1 from x equal with 0 from 7 or 3 from x equals with 8 from 6.