Write two equivalent expressions for 15(3 + w).
1.
2.

Answer:

please repost

Step-by-step explanation:

picture is both blurry and upside down making it difficult to answer quickly. I'd love to help but currently the exponents are unclear :)

Lake Jensen lost the least amount of water at 33.33% so option (A) will be correct.

The percentage is defined as a given amount in every hundred. It is a fraction with 100 as the denominator percentage is represented by the one symbol %.

For example 1/2 part of any value will be (1/2)×100 %.

Given;

Lake Jensen lost

1/3 into percentage = (1/3)×100 = 33.33%

Lake Parlow lost = 34%

Lake Stockton lost;

147/300 into percentage = (147/300) × 100 = 49%

Hence it is clear among all three lakes Lake Jensen lost the least amount of water at 33.33%

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Answer:

Step-by-step explanation:Math

To determine if the given points are part of the (200) plane, we need to check if their coordinates satisfy the equation of the plane.

The equation of a plane in three-dimensional space is typically written in the form Ax + By + Cz + D = 0, where A, B, C, and D are constants. For the (200) plane, the equation would be 2x + 0y + 0z + 0 = 0, which simplifies to 2x = 0. Let's check the given points: a) (1/2, 0, 0): When we substitute x = 1/2 into the equation 2x = 0, we get 2(1/2) = 0, which is true. Therefore, point a) lies on the (200) plane. b) (-1/3, 0, 0): Substituting x = -1/3 into the equation 2x = 0 gives us 2(-1/3) = 0, which is also true. So, point b) is part of the (200) plane. c) (0, 1, 0):When we substitute x = 0 into the equation 2x = 0, we get 2(0) = 0, which is true. Thus, point c) lies on the (200) plane. All three given points (a), b), and c)) are part of the (200) plane.

In conclusion, all three given points (a), b), and c)) are part of the (200) plane.

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The value of the definite integral \(\(\int_6^{11} \coth(5x) \, dx\)\) is approximately \(\(\ln(6)\).\)

What makes anything an integral?

To complete the whole, an essential component is required. The term "essential" is almost a synonym in this context. Integrals of functions and equations are a concept in mathematics. Integral is a derivative of Middle English, Latin integer, and Mediaeval Latin integralis, both of which mean "making up a whole."

To evaluate the integral

\(\[\int \coth(5x) \, dx\]\)

we can use the substitution method. Let's proceed step by step.

First, we rewrite the integrand using the identity \(\(\coth(x) = \frac{1}{\tanh(x)}\):\)

\(\[\int \frac{1}{\tanh(5x)} \, dx\]\)

Next, we substitute \(\(u = \tanh(5x)\), which implies \(du = 5 \, \text{sech}^2(5x) \, dx\):\)

\(\[\int \frac{1}{\tanh(5x)} \, dx = \int \frac{1}{u} \cdot \frac{1}{5} \cdot \frac{1}{\text{sech}^2(5x)} \, du = \frac{1}{5} \int \frac{1}{u} \, du\]\)

Simplifying, we find:

\(\[\frac{1}{5} \ln|u| + C = \frac{1}{5} \ln|\tanh(5x)| + C\]\)

Therefore, the evaluated integral is \(\(\frac{1}{5} \ln|\tanh(5x)| + C\).\)

To evaluate the definite integral  \(\(\int_6^{11} \coth(5x) \, dx\)\), we can substitute the limits into the antiderivative:

\(\[\frac{1}{5} \ln|\tanh(5x)| \Bigg|_6^{11} = \frac{1}{5} \left(\ln|\tanh(55)| - \ln|\tanh(30)|\right) \approx \ln(6)\]\)

Therefore, the value of the definite integral \(\(\int_6^{11} \coth(5x) \, dx\)\) is approximately \(\(\ln(6)\).\)

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Answer:

71.99

Step-by-step explanation:

89.99 x .20=17.998

89.99-17.998=71.992

Round

She paid $71.99

Answer:

The regular price is $1,889.79

Step-by-step explanation:

20% to 0.20

$89.99 divided by 0.20 equals 1,799.80

$1,799.80 plus $89.99 equals $1,889.79

The company earned 68 billion dollars from 2008 to 2018.

According to the statement

we have given that the company's particular sales in expression are represented by (t² + 10t + 68)

And we have to find the constant terms in this expression which represent the sale of the company.

So, The given expression is (t² + 10t + 68)

From above expression it is clear that the it is in the form of Quadratic Equations.

So, The Quadratic equation, is an equation containing a single variable of degree 2. Its general form is ax^2 + bx + c = 0, where x is the variable and a, b,c are the known numbers and C is the Constant.

The general representation of Quadratic equation is

ax^2 + bx + c = 0  -(1)

and the given expression are

(t² + 10t + 68)  -(2)

After comparing both equations

Here C =68 = Constant.

So, 68 is the Constant term of the expression represent in terms of the context.

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Disclaimer: The question was incomplete. Please find the full content below.

Question:

A particular company's net sales, in billions, from 2008 to 2018 can be modeled by the expression t2 + 10t + 68, where t is the number of years since the end of 2008. What does the constant term of the expression represent in terms of the context?

The company earned 68 billion dollars from 2008 to 2018.

The company earned 68 billion dollars in 2008.

The company earned 10 billion dollars from 2008 to 2018.

The company earned 10 billion dollars in 2008.

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Answer:

1/3

Step-by-step explanation:

7/12 - 3/12= 4/12= 1/3

The distance between the points A=(-7,-7) and B=(-3,-1) is 7.21 units.

We can use the distance formula to find the distance between points A=(-7,-7) and B=(-3,-1) on the coordinate plane.

The distance formula is:

d = √((x2 - x1)^2 + (y2 - y1)^2)

where (x1, y1) and (x2, y2) are the coordinates of the two points.

Substituting the values we have, we get:

d = √((-3 - (-7))^2 + (-1 - (-7))^2)

= √((4)^2 + (6)^2)

= √(16 + 36)

= √(52)

≈ 7.21

Therefore, the distance between points A=(-7,-7) and B=(-3,-1) is approximately 7.21 units.

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\(7(-3)\)

Before we find the answer, you must know these rules:

\((-)\times(-)=+\\(+)\times(-)=-\\(+)\times(+)=+\)

The number \(7\)(positive) is being multiplied by \(-3\)(negative) so we know that our answer will be \((-)\).

Multiply:

\(7\times-3\)

\(\fbox{=-21}\)

Hope this helps!

Answer:

sorry hindi ko maintindihan yong tanong

Answer:

Step-by-step explanation:

I = prt

I = 800 × 1.8% x 15

I = $216

Remember the percent sign for the rate or write it as a decimal (multiplier)! In this case the multiplier would be 0.018!

Hope this helps, please mark as brainliest! :)

Answer:

\(enjoy \: it \: good \: luck\)

we know that, a number X, rounded to 1 decimal place is 12.3

so,

X>=12.25

and

X<12.35

The error interval for X is [12.25,12.35)

Answer:

Step-by-step explanation:

Hey Sam,  this seems like "simple" algebra, but it's a lot of implied understanding.  everyone asks about this kind of question.  it's really amazing how teacher can't seem to teach this type of problem.  It's not the students, but the teachers that fail at teaching this .   anyway...

we are given two points and asked to write an equation for the line passing through the two points.  

So, first, do you understand the idea of "an equation of a line" ?

we could use the slope-intercept formula   y=mx+b as the template for what we want to make.  But you also have to understand what that formula is explaining.  The idea or concept is important b/c so much more math is built on this.  The equation of a line.

just remember the two formula's   slope-intercept and point-slope,  they are very related.    Y=mx+b   and  Y-y1=m(x-x1)    respectively.

the given points:  

point P1 (2,7)  in the form (x1,y1)

point P2(0,-5)  in the form (x2,y2)

step one:

slope = m

m = (y2-y1) / (x2-x1)

now plug in the given points ,  to find the slope.

m = (-5-7) / (0-2)

m = -12 / -2

m = 12  / 2

m = 6

Step two:

since we've found the slope, now use the point-slope formula  with either of the given points and then solve for Y, that is, isolate Y.  This will automatically give us the slope-intercept form and the equation for the line :) I'll use P1

Y - y1 = m(x -x1)

Y - 7 = 6(x-2)

I just plugged in the point P1 for x1,y1 and m=6, now use your algebra skillz

Y - 7 = 6x -12

Y = 6x -12 +7

Y = 6x - 5

there is your answer,  and the equation for the line in slope-intercept form.  :)

The measure of angle CED in a circle is  212°

The measurement of angles is done using basic geometric tools such as protractors and compasses. This tool helps to find precise measurements of angles. A protractor helps provide accurate measurements of angles, while compasses help construct angles. Angles are measured in three ways: degrees, radians, and revolutions.

In the given figure:

∠ EBD = 160°

and ∠ CBE = 52°

We have to tell the measure of arc CED.

Since  m( arc EBD) = 160° and m( arc CBE ) = 52°

From the figure:

m( arc CED ) = m( arc CBE ) + m( arc CBE)

= 160° + 52°

= 212°

Therefore, measure of angle CED = 212°.

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According to the information, we can infer that you had 51 gold coins.

To identify how many coins do you have let's use algebra to solve this problem. Let's say you started with x gold coins and y treasure chests.

According to the problem, when you tried to put 9 gold coins in each treasure chest, you had 2 treasure chests left empty. This means that the total number of gold coins you had must have been divisible by 9, except for the 2 extra treasure chests. So we can write:

Next, you tried putting 6 gold coins in each treasure chest, and had 3 gold coins left over. This means that the total number of gold coins you had was 3 more than a multiple of 6, since each chest had 6 gold coins except for the 3 extra coins. So we can write:

We can solve this system of equations by equating the expressions for x:

This tells us that 6m + 1 must be divisible by 9. The first few values of m that satisfy this are:

So we have m = 8, which means:

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The magnitude of vector A + B is approximately 5.3 meters, and its direction is approximately 62 degrees above the positive x-axis.

To find the direction of a vector, we can use trigonometry to determine the angle it makes with the positive x-axis. In the case of vector A, its x-component is 5.2 m and its y-component is 0.30 m. By taking the arctangent of the ratio of the y-component to the x-component, we can find the angle. Thus, the direction of vector A is approximately 3.2 degrees above the positive x-axis.

Similarly, for vector B with an x-component of -0.90 m and a y-component of 5.3 m, the arctangent of the ratio of the y-component to the x-component gives us an angle of approximately 82 degrees above the positive x-axis.  

To find the magnitude of the sum of vectors A and B (A + B), we add their respective components. The resultant x-component is 5.2 m + (-0.90 m) = 4.3 m, and the y-component is 0.30 m + 5.3 m = 5.6 m. Using the Pythagorean theorem, the magnitude of A + B is approximately √(4.3^2 + 5.6^2) ≈ 5.3 m.    

Finally, we can determine the direction of A + B by taking the arctangent of the ratio of the y-component to the x-component. With a resultant x-component of 4.3 m and a y-component of 5.6 m, the angle is approximately 62 degrees above the positive x-axis.    

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Step-by-step explanation:

sss similarity theorem

The linear approximation of f at x = π/4 is  1 + 2(x - π/4), the value tan(π/5) is 1 - 3π/40 ≈ 0.3634.

Linear approximation is a technique used in calculus to approximate the value of a function near a particular point using the tangent line of the function at that point. This approximation is often used to simplify calculations and solve problems in a variety of fields, including physics, engineering, and finance.

The linear approximation of a function f(x) near a point a is given by:

L(x) = f(a) + f'(a)(x-a)

where f'(a) is the derivative of the function f(x) evaluated at a. The linear approximation L(x) is the equation of the tangent line to the function at the point (a, f(a)), and it provides an approximation of the function's behavior near that point.

We have,

f(x) = tan x

f'(x) = sec² x

At x = π/4, we have

f(π/4) = tan(π/4) = 1

f'(π/4) = sec²(π/4) = 2

So the linear approximation of f at x = π/4 is given by

L(x) = f(π/4) + f'(π/4)(x - π/4)

 = 1 + 2(x - π/4)

Now, we can use this to estimate tan(π/5) as follows:

tan(π/5) ~ L(π/5)

      = 1 + 2(π/5 - π/4)

      = 1 + 2π/20 - 2π/16

      = 1 + π/40 - π/8

      = 1 - 3π/40

So the estimated value of tan(pi/5) using the linear approximation of f(x) = tan x at x = π/4 is

tan(π/5) ≈ 1 - 3π/40 ≈ 0.3634 (using π ≈ 3.14159).

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Answer:

1m

Step-by-step explanation:

The approximate probability that the first letter chosen is A when two unique letters are selected at random from the alphabet is 0.0769.

The third option is correct.

The approximate probability that the first letter chosen is A when two unique letters are selected at random from the alphabet is calculated as follows:

Total Number of Outcomes = (²⁶C₂)

Total Number of Outcomes = 325

To have the first letter chosen as A, we fix the first letter as A and choose any one of the remaining 25 letters for the second selection.

Number of Favorable Outcomes = 25

Probability = 25 / 325

Probability ≈ 0.0769

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Answer:

its A

Step-by-step explanation:

Answer:

\((a-b)(a+c)\)

Step-by-step explanation:

Factor each half of the expression separately:

\(a^2-ba+ac-cb\\a(a-b)+c(a-b)\)

Since both a and c are being multiplied by a-b, we can combine them to get:

\((a-b)(a+c)\)

the angle would be a 90° angle

========================================================

Explanation:

At 3:00 pm, the hour hand is pointed directly at the '3'. At 4:00 pm, the hour hand moves to point directly at the '4'.

Since 3:30 pm is the halfway point of 3:00 pm and 4:00 pm, this must mean the hour hand is halfway between the '3' and '4'.

Each little tiny tickmark on the clock represents 1 minute. From the "3" to "4", we have 5 tickmarks, so half of that is 5/2 = 2.5

The hour hand is pointing to 2.5 minutes after the 15 minute mark, meaning the hour hand is pointing to the 15+2.5 = 17.5 minute mark.

The span of time from 17.5 minutes to 30 minutes is 30-17.5 = 12.5 minutes.

Divide this over 60 minutes and we get 12.5/60 = 125/600 = 5/24

The 5/24 indicates the fractional amount of 360 degrees being taken up by this angle shown.

So, (5/24)*360 = 75 degrees is the angle measure in this diagram.

After answering the provided question, we can conclude that t = 1.833 is standard deviation the critical value for a one-tailed t-test with 9 degrees of freedom and a significance level of 0.05.

A statistic that communicates the fluctuation or variance of a number set is the standard deviation. A high standard deviation indicates that the values seem to be more dispersed, whereas a low standard deviation indicates that the values are closer to the established mean. The standard deviation is a measure of how far the data varies from the mean (or ). So when standard deviation is small, the data tends to cluster around the mean; when it is huge, the data is more dispersed. The standard deviation represents the average variability of something like the data set. It displays the average deviation from the mean of each score.

To decide whether the new manufacturing technique should be used, we must first determine whether the standard deviation of the drug concentration in the new process is less than 4 g/l. A hypothesis test can be used with the following null and alternative hypotheses:

H0 (null hypothesis): In the new process, the standard deviation of drug concentration is 4 g/l.

Alternative hypothesis (Ha): In the new process, the standard deviation of drug concentration is less than 4 g/l.

For the standard deviation, we can use a one-tailed t-test with a

\(t = (n - 1) * s^2 / \sigma^2\\s = \sqrt(1/(n-1) * \sum(xi - x\bar)^2) = 0.004 g/l\\t = (n - 1) * s^2 / \sigma^2 = (10 - 1) * 0.004^2 / 4^2 = 0.0007\)

t = 1.833 is the critical value for a one-tailed t-test with 9 degrees of freedom and a significance level of 0.05.

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Answer:

It's the 3rd one

Step-by-step explanation:

2x7=14 7x4=28 7x6=42

Answer:

The third table, since x/y = 7.

(a) A nonzero vector orthogonal to the plane through the points P, Q, and R is (9, -17, 35). (b) The area of triangle PQR is \(\sqrt\)(811) / 2.

(a) To determine a nonzero vector orthogonal to the plane through the points P, Q, and R, we can first find two vectors in the plane and then take their cross product. Taking vectors PQ and PR, we have:

PQ = Q - P = (5, 1, -2) - (-4, 0, 0) = (9, 1, -2)

PR = R - P = (6, 4, 1) - (-4, 0, 0) = (10, 4, 1)

Taking the cross product of PQ and PR, we have:

n = PQ x PR = (9, 1, -2) x (10, 4, 1)

Evaluating the cross product gives n = (9, -17, 35). Therefore, (9, -17, 35) is a nonzero vector orthogonal to the plane through points P, Q, and R.

(b) To determine the area of triangle PQR, we can use the magnitude of the cross product of vectors PQ and PR divided by 2. The magnitude of the cross product is given by:

|n| = \(\sqrt\)((9)^2 + (-17)^2 + (35)^2)

Evaluating the magnitude gives |n| = \(\sqrt\)(811).

The area of triangle PQR is then:

Area = |n| / 2 = \(\sqrt\)(811) / 2.

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We need to check if lines ℓ and k are parallel. For two lines to be parallel, they must have the same slope and different y-intercepts.Let's compare the given lines:Line ℓ: y = 34x + 6Slope of line ℓ = 34Line k: y = 34x - 7Slope of line k = 34We see that the slope of lines ℓ and k is the same (34), which means that they could be parallel.

However, we still need to check if they have different y-intercepts. Line ℓ: y = 34x + 6 has a y-intercept of 6.Line k: y = 34x - 7 has a y-intercept of -7.So, lines ℓ and k have different y-intercepts, which means they are not parallel. Therefore, the correct answer is b) No.In slope-intercept form, the equation of a line is y = mx + b, where m is the slope of the line and b is its y-intercept. In this case, both lines have the same slope of 34 (the coefficient of x). The y-intercepts are different (+6 for line l and -7 for line k). Thus, the lines are not parallel.

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The answer is option a) Yes. Lines ℓ and k are parallel to each other.

The two distinct lines defined by the following two equations in slope-intercept form are:

Line ℓ: y = 34x + 6

Line k: y = 34x - 7

To determine if the lines are parallel, we need to compare their slopes since two non-vertical lines are parallel if and only if their slopes are equal.

Both lines are in slope-intercept form, so we can immediately read off their slopes:

Line ℓ has a slope of 34, and line k has a slope of 34.

Both the lines ℓ and k have the same slope of 34.

Hence, the answer is option a) Yes. Lines ℓ and k are parallel to each other.

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