PLS

The length of a rectangle is 5 more than twice the width. If the length is 60 inches, what is the width?

Step-by-step explanation:

(4x + 6) + (3x + 14) + 90= 180 sum of angles in an triangle theorem

7x + 20 = 90 Algebra

x=10 Algebra

I hope this helps!!!!

The value of cos 2x = -21/25.

Given:

cos x = -2/5

we know that,

cos 2x = \(2cos^{2}x -1\)

= 1(\((-2/5)^{2}\) - 1

= 1\((2/5)^{2}\) - 1

= 1*4/25 - 1

= 4/25 - 1

= 4 - 25 / 25

= -21/25.

Therefore the value of cos 2x = -21/25.

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Answer:

Step-by-step explanation:

Rearrange terms -7x+4=4x-128 subtract 4 from both sides. Simplify . subtract 4x from both sides. simplify. divide both sides by the same factor. simplify. Solution x=12

Answer:

2.75x(1023)

=2.75*x*1e+23

=2.7499999999999997e+23*x

=2.7499999999999997e+23x

Step-by-step explanation: Hope this help

The rate of change of the distance between the bottom of the ladder and the wall is \(\frac{7}{8}\)feet per minute

Let x = distance of the bottom ladder from the wall

Let y = distance of the top ladder from the ground = 7 feet

Let h = the top of a ladder is sliding down a vertical wall at a constant rate of 3 feet per minute.  = 25 feet

By using Pythagoras theorem

\(x^{2} +y^{2} =h^{2}\)

\(x^{2} +7^{2} =25^{2}\)

\(x^{2} =\sqrt{625-49}\)

\(x^{2} =\sqrt{576} =24\)

Derivate both sides of the equation

\(x^{2} +y^{2} =25^{2}\)

\(2x\frac{dx}{dt} +2y\frac{dy}{dt} =0\)

\(x\frac{dx}{dt} + y\frac{dy}{dt} =0\)

\(x\frac{dx}{dt} = -y\frac{dy}{dt}\)

\(\frac{dx}{dt} = -\frac{y}{x} \frac{dy}{dt}\)

\(\frac{dx}{dt} = -\frac{7}{24} (-3)\)

\(\frac{dx}{dt} =\frac{7}{8}\)  feet per minute

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Let's simplify step-by-step.

6+4h+3

Combine Like Terms:

=6+4h+3

=(4h)+(6+3)

=4h+9

Answer:

=4h+9

Answer:

Using the t-distribution, the 99% confidence interval for the true average number of alcoholic drinks all UF female students (over 21) have in a one week period is (3.25, 4.85).

We have the standard deviation for the sample, thus, the t-distribution is used to solve this question.

First, we find the number of degrees of freedom, which is the sample size subtracted by 1, thus:

Then, using a calculator, with  and 169 df, we have that the two-tailed critical value is .

The margin of error is:

In this problem, , then:

The confidence interval is:

In this problem, , then:

The confidence interval is (3.25, 4.85).

Step-by-step explanation:

Answer: The answer is No, it's not a scaled factor. That's my answer, you can figure it out why it's no.

Step-by-step explanation:

The augmented matrix for the system of equations is:

| 1  2 -2  2 -1 | 0 |
| 1  2 -1  3 -2 | 0 |
| 2  4 -7  1  1 | 0 |

A basis for the solution space S is {(-2, 1, 0, 0, 4), (2, 0, 1, 0, -4), (3, 0, 0, 1, -4)}. The dimension of the solution space S is 3, since there are 3 free variables and 3 basis vectors.

To solve the system by Gauss elimination method, we first need to eliminate the x1 term from the second and third equations. To do this, we can subtract the first equation from the second and third equations:

| 1  2 -2  2 -1 | 0 |
| 0  0  1  1 -1 | 0 |
| 0  0 -3 -3  3 | 0 |

Next, we can eliminate the x3 term from the third equation by adding 3 times the second equation to the third equation:

| 1  2 -2  2 -1 | 0 |
| 0  0  1  1 -1 | 0 |
| 0  0  0  0  0 | 0 |

Now, we can see that the third equation is redundant, so we can ignore it. The remaining equations give us:

x1 + 2x2 - 2x3 + 2x4 - x5 = 0
x3 - x4 + x5 = 0

We can solve for x3 and x5 in terms of x1, x2, and x4:

x3 = x4 - x5
x5 = 2x1 + 4x2 - 4x3 - 4x4

Substituting these equations back into the first equation gives us:

x1 + 2x2 - 2(x4 - x5) + 2x4 - (2x1 + 4x2 - 4x3 - 4x4) = 0

Simplifying gives us:

-2x1 - 4x2 + 4x3 + 6x4 = 0

We can solve for x1 in terms of x2, x3, and x4:

x1 = -2x2 + 2x3 + 3x4

Now, we can express the solution space S in terms of the free variables x2, x3, and x4:

S = {(-2x2 + 2x3 + 3x4, x2, x3, x4, 2x1 + 4x2 - 4x3 - 4x4) | x2, x3, x4 ∈ R}

A basis for the solution space S is:

{(-2, 1, 0, 0, 4), (2, 0, 1, 0, -4), (3, 0, 0, 1, -4)}

The dimension of the solution space S is 3, since there are 3 free variables and 3 basis vectors.

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Answer:

15/20    16/20    <

Step-by-step explanation:

First, make a common denominator for both, which is 20. So, 3/4 = 15/20. Then 4/5= 16/20. 15/20 < 16/20, so 3/4 < 4/5.

The  probability space and that e1 and e2 are events satisfying e1 ∪ e2 = s, p(e1) = 1/5, and p(e1 ∩ e2) = 1/30.The  p(e2) is 0.8333.

In chance principle, a probability space or a probability triple. is a mathematical construct that offers a formal model of a random manner or "test". for example, you can still outline an opportunity area that fashions the throwing of a die.

A chance area fashions random occasions and is made of three parts: pattern space: the set of all possible results. as an example, in case you toss a coin twice, the pattern space is {HH, HT, TH, TT}. The sample space is every so often denoted by way of the Greek letter omega (Ω).07-Jan-2017

A finite probability space is a fixed S and a feature p: S → R ≥zero such that p(s) > 0 (∀s ∈ S) and ∑ p(s) = 1. We re. page 1. A finite probability area is a set S and a characteristic p: S → R≥0 such that p(s) > 0. (∀s ∈ S) and ∑

Given E1 and E2 events S is the probability space

And given E1∪ E2 =S

P(E1)=1/5 and P(E1 ∩ E2 )=1/30

From given P(E1∪ E2)=P(S)

From probability axioms P(S)=1

Therefore P(E1∪E2) =1

      P(E1)+ P(E2)- P(E1 ∩E2)= 1

      (1/5) + P(E2) - (1/30) = 1

   P(E2 )= 1-(1/5) +(1/30)= 0.8333

Therefore P(E2)= 0.8333

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Answer:

b = -3

Step-by-step explanation:

Using the graph, when x=2

y = -3

The probability of adding either ground beef or onion as the first ingredient  0.25 or 25%.

If there are a total of 8 ingredients and 2 of them are either ground beef or onion, then the probability would be:

Probability = (Number of desired outcomes) / (Total number of possible outcomes)

           = 2 / 8

           = 1 / 4

           = 0.25

So, the probability of adding either ground beef or onion as the first ingredient is 0.25 or 25%.

In this case, we have a total of 8 ingredients, out of which 2 are either ground beef or onion. When selecting the first ingredient, there are 8 possible outcomes. Since we want to calculate the probability of adding either ground beef or onion as the first ingredient, we count the number of desired outcomes, which is 2 (either ground beef or onion). Dividing the number of desired outcomes by the total number of possible outcomes gives us the probability.

The probability of adding either ground beef or onion as the first ingredient is 0.25 or 25%. This means that there is a 25% chance that either ground beef or onion will be the first ingredient added, assuming the ingredients are added randomly without any specific order.

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Domain: {x-9 ≤x ≤9},  Range:{x-9 ≤x ≤9},  Intercepts points : (-9, 0), (0, -9), (0, 9), (9, 0) and Symmetry: x-axis and y-axis the correct answer would be option (C).

The domain of the function includes all possible x values of a function, and the range includes all possible y values of the function.

We have been given that the graph is that of a function.

To determine its domain and range, the intercepts, if any, and any symmetry with respect to the x-axis, the y-axis, or the origin

The domain of the given function would be {x-9 ≤x ≤9}

The range of the given function would be : (y-9 y ≤9)

The intercepts points of the given function would be : (-9, 0), (0, -9), (0, 9), (9, 0)

And the graph is symmetric about the x-axis and y-axis.

Hence, the correct answer would be option (C).

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Answer:

\(-\frac{17}{4}\\-3.95\\-\sqrt{15}\\-3\frac{6}{7}\\-3\frac{1}{4}\\-3.2\)

Step-by-step explanation:

From smallest to largest:

\(-\frac{17}{4}\\-3.95\\-\sqrt{15}\\-3\frac{6}{7}\\-3\frac{1}{4}\\-3.2\)

The relation 2 represents a function.

In order to determine which relation in the below table represents a function, we need to first understand what a function is.A function is a relationship in which each input value corresponds to exactly one output value.

To put it another way, each x-value has one and only one y-value. The most typical method to determine whether a relation is a function is to use the vertical line test.

The vertical line test is a way to determine if a relation is a function graphically. To test if a graph is a function, we draw a vertical line through each x-value on the graph. If a vertical line crosses the graph more than once, it is not a function.

If, on the other hand, the graph passes the vertical line test and no vertical line crosses the graph more than once, it is a function.Now let's look at the table below to determine which relation is a function.

We will first plot the x and y values of each relation on a coordinate system and then apply the vertical line test to each relation.

Relation 1: x | y0 | 10 | 11 | 22 | 23 | 34 | 35 | 4Relation 1 does not represent a function since we can draw a vertical line through x = 3 and the line will cross the graph more than once.

Relation 2: x | y2 | 33 | 34 | 45 | 46 | 57 | 5Relation 2 represents a function since we can draw a vertical line through each x-value on the graph and it will only cross the graph once.

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Answer:

Rate positively and give brainlist

The limiting reagent in a chemical reaction is a reactant that is totally consumed when the chemical reaction is completed. The amount of product formed is limited by this reagent, since the reaction cannot continue without it.

why is excess reagent used:

A good way to ensure that one reactant fully reacts is to use an excess of the other reactant. This is financially efficient when one of the reactants is very cheap. When one reactant is in excess, there will always be some left over.

how do you find the excess reagent:

The reactant that produces a lesser amount of product is the limiting reagent. The reactant that produces a larger amount of product is the excess reagent. To find the amount of remaining excess reactant, subtract the mass of excess reagent consumed from the total mass of excess reagent given

The equation for split times is 4x= 198.608  and the value of x is 49.652

What is the solution to an equation?

In order to make the equation's equality true, the unknown variables must be given values as a solution. In other words, the definition of a solution is a value or set of values (one for each unknown) that, when used as a replacement for the unknowns, transforms the equation into equality.

Let x be the split time

all 4 of the split times were the same.

4x= 198.608

=> x= 198.608/4 = 49.652

The equation for split times is 4x= 198.608  and the value of x is 49.652

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The width of the plainfield is 56 yards, and the length is 216 yards.

Let's start by defining the variables we'll need to solve the problem. We'll use "P" to represent the perimeter of the plainfield, "l" to represent the length of the field, and "w" to represent the width of the field.

From the problem statement, we know that the perimeter of the plainfield is 544 yards, so we can write:

P = 544

The perimeter of a rectangle is given by the formula P = 2(l + w), so we can substitute our variables and get:

2(l + w) = 544

Simplifying this expression, we get:

l + w = 272

Now we need to use the information given about the relationship between the length and width of the field to write an equation that relates the two variables. We know that the length is 8 yards less than a quadruple of the width, so we can write:

l = 4w - 8

We can substitute this expression for "l" in the equation we derived earlier:

l + w = 272

(4w - 8) + w = 272

5w - 8 = 272

5w = 280

w = 56

So the width of the field is 56 yards. We can use the equation we derived earlier to find the length:

l = 4w - 8

l = 4(56) - 8

l = 216

So the length of the field is 216 yards.

Therefore, the width of the plainfield is 56 yards, and the length is 216 yards.

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Answer:

5 hours and 42 mins

Step-by-step explanation:

Answer:

x=33

Step-by-step explanation:

x+13+4x+2=180

4x+x=5x

13 plus 2 =15

5x+15=180

subtract 15 from both sides

180-15=165

5x=165

divide 5 from both sides

x=33

Answer:

B and a great deal on a spring break and a good time to get answer for the spread of Islam in the Horn of the following elements has your examination and your

An alternating series is a whose terms are alternately positive and negative.

The alternating series ,

∑_(n=1)^∞ a_n=∑_(n=1)^∞ (-1)^(n-1) b_n

where bn = lanl, converges if 0<b_(n+1)≤b_n for all n

lim_(n→∞) b_n=0

Subtraction:

Subtraction serves as a representation for the act of removing items from a collection. The negative symbol stands for subtraction. For example, if four of the nine oranges that are stacked together (as in the above illustration) are then transported to a basket, the stack will now contain five oranges rather than nine.

Therefore, the difference between 9 and 4 is 5, which equals 9 minus 4. In addition to applying it to natural numbers, subtraction can also be used with other kinds of numbers. The letter "-" represents subtraction. Minuend, subtrahend, and difference are the three numerical components that make up the subtraction operation.

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Answer:

x=4

Step-by-step explanation:

2x-8-x+4-6=0

or,2x-x-8+4=0

or,x-4=0

or,x=0+4

•°•x=4

ans

Answer:

x = 2 or 7

Step-by-step explanation:

(x-4)² - (x-4) - 6 = 0

x²-8x+16-x+4 -6 = 0

           x²-9x+14 = 0

           (x-2)(x-7) = 0

∴x = 2 or 7

The distribution of scores in a population is expected to be more variable than the distribution of sample means based on random samples of 25 cases from this population.

The distribution of scores in a population refers to the spread of scores in the entire population.

Population refers to the entire group of individuals, events, or things from which the sample or data is taken from. In population data, the variability or differences between the scores of the entire population is expected to be larger and wider.

The size of the distribution is determined by the range of scores, which can be further illustrated by the interquartile range, variance, and standard deviation. The distribution of sample means based on random samples of 25 cases from this population:

This refers to the distribution of the means of samples of the same size taken from the population. In this case, the sample means are based on random samples of 25 cases taken from the population. The variability of the sample means is referred to as the standard error of the mean (SEM) and is calculated as the standard deviation divided by the square root of the sample size (n).

When the sample means are drawn from the population, the sample means are expected to be less variable than the entire population because they are based on random samples and therefore are likely to be more representative of the population.

Since the sample means are less variable, the distribution of sample means will be narrower than the population distribution and will tend to be normally distributed with a mean equal to the population mean.

Therefore, we expect the distribution of scores in a population to be more variable than the distribution of sample means based on random samples of 25 cases from this population.

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Answer:

500,000 pages

Step-by-step explanation:

1 / 5000 = 100 / x

x = 5000(100)

x = 500,000

Answer:

1892705 pages of text.

Step-by-step explanation:

g=Gallon

L=Liters

P=Pages

1L=5000p

1g=3.78541L

100g·3.78541L=378.541L

378.541L·5000=1892705

Answer:

x would equal 5.