2
Solve the equation log, (3t+9) - log, 21 =1

Answer:

Hence the value for the mean is  80 and the standard deviation for the original sample is 8.

Step-by-step explanation:

Mean = 83-3 = 80.

Here the standard deviation didn't change = 8.

Answer:

Nope

Step-by-step explanation:

we can graph y = 5x as y = 5 units up and one unit to the right

but for right now let me be specific on what i mean

Specifically:

y = 5x is a Slope-Intercept equation, the original Slope-Intercept equation would be y = mx + b but in this case, we don't have b so we're focusing now on y = 5x, but what are we suppose to do with 5x??? well 5x represents the slope of the line so to graph a slope, use rise over run = rise/run. so only 5 is being used so 5 = rise/run = 5/1.

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Answer: (1, 3) doesn't satisfy the equation

Answer:

No, it does not satisfy the equation

Step-by-step explanation:

Hi there!

We are given the equation y=5x and we want to know if the point (1,3) will satisfy the equation

If we substitute the values of a point into the equation, and the result is a true statement (ex. 2=2), then the point satisfies the equation

If we substitute the values of a point into the equation and the result is a false statement (ex. 0=7), then the point doesn't satisfy the equation

The reason for this is because when we plug the value of a point into an equation, we're seeing if the equation will pass through that given point.

So let's substitute 1 as x and 3 as y into y=5x

3=5(1)

multiply

3=5

The result is a false statement; therefore, the point doesn't satisfy y=5x

Hope this helps!

Answer:

y=n^2+3n+4

Step-by-step explanation:

Sequence,S: 8,14,22,32 ,44, 58, 74...

First differences of S: 6,8,10,12,14,16,...

Second differences of S: 2,2,2,2,2,2,....

It is indeed a quadratic since the 1st differences that are the same are the second differences.

So the 1st term is 8. If the 0th term was listes it would be 4 since 8-4=4 and 6-4=2.

This means our quadratic it is in the form

y=an^2+bn+c where c=4.

So we have y=an^2+bn+4.

Now we can find a and b using two points from our sequence to form a system of equations to solve.

(1,8) gives us 8=a(1)^2+b(1)+4

Simplifying gives 8=a+b+4

Subtracting 4 on both sides gives: 4=a+b

(2,14) gives us 14=a(2)^2+b(2)+4

Simplifying gives 14=4a+2b+4

Subtracting 4 on both sides gives 10=4a+2b

So we have the following system to solve:

4=a+b

10=4a+2b

I'm going to solve using elimination/linear combination style.

Dividing second equation by 2 gives the system as:

4=a+b

5=2a+b

Subtract the 2nd equation from the first gives:

-1=-1a

This implies a=1 since -1=-1(1) is true.

If a+b=4 and a=1, then b=3. Because 3+1=4.

So the equation is y=1n^2+3n+4 or y=n^2+3n+4.

Answer:

d. 20

Step-by-step explanation:

28 ÷ (100%+40%)

= 28 ÷ 140%

= 28 ÷ 1.4 = 20

Answer:

option d

Step-by-step explanation:

Let the number be x

40% of x = 0.40x

Increased by 40% = 28

That is ,

           x + 0.40x = 28

               1.40x = 28

                   [tex]x = \frac{28}{1.40}\\[/tex]

                  [tex]x = \frac{28 \times 100}{1.40 \times 100 } = \frac{28 \times 100}{140} =\frac{4 \times 100}{20} = 4 \times 5 = 20[/tex]

Therefore, the number is 20

Answer:

2 i think it is

Step-by-step explanation:

Answer:

Get all the values of the histogram and put them in order:

For example 2,5,7,1,7,3  becomes 1,2,3,5,7,7 and then you get the middle number, which is in this case (3+5)/2=3.5

Then see which of the readings lie on 3.5.

Step-by-step explanation:

9514 1404 393

Explanation:

The histogram will have a count associated with each class. You may have to read the count from the vertical scale of the graph. If it is a histogram of relative frequencies, each class will have a fraction or percentage instead of a count.

Find the total of all counts. Determine what half that number is. If the total is odd, then round up to the nearest integer. This is the index number of the median value.

Add up the counts in the classes starting at one side of the graph, working toward the other side. (Left-to-right is the usual direction for doing this.) When you find the class that increases the total to a value equal or greater than the index number, this is the class that contains the median.

__

If the histogram is a relative frequency histogram, the class that brings the total to 50% is the one containing the median.

__

There may be cases where the total count is even, and the total of all of the classes up to a point is exactly equal to the index number you're looking for. In that case, the median is between that class and the next. Here's an example:

  class 1: count 3

  class 2: count 5

  class 3: count 4

  class 4: count 4

Total count: 3+5+4+4 = 16. Median index = 16/2 = 8

Total of classes 1 and 2 = 3+5 = 8. This means exactly half of the represented values are in class 2 or below, and half are in class 3 or above. If you had access to the actual data values, you would find the median as the average of the 8th and 9th data values (when they are sorted into increasing order). Here, the median might be estimated as the value halfway between the upper bound of class 2 and the lower bound of class 3.

__

2nd example

Consider the same histogram as above, but with a count of 3 in class 4. This brings the total count to 15, and the index of the median is 15/2 = 7.5, rounds to 8. Again, the 8th data value (median) is in class 2. There is no ambiguity in this case.

Which value is 10,000 times larger than 1,300?

answer= 1300×10000

= 13,000,000

Answer:

-27/7

Step-by-step explanation:

put x into the equation

Answer:

y = 2x - 11

Step-by-step explanation:

y = 2x + b

-1 = 2(5) + b

-1 = 10 + b

-11 = b

the answer is in the picture

ok so we see that TR is 17 units, so RV is the same amount

3x+2 so 3x=15 so divide both sides by 3 we get x=5

now we know x=5 4x+1=21 and 9x-4=41

*drops microphone*

Answer:

TR = 12

=> 3x + 2 =17

=> x = 5

We have QT = QV (because QTV is an isosceles triangle)

=> QT = 4x+1=4x5+1=21 units

We have TS = SV (because TSV is an isosceles triangle)

=>SV = 9x-4= 9x5-4=41 units

Answer:

The length of the arc is 10 pi

Step-by-step explanation:

Mathematically, the length of an arc is calculated as;

theta/360 * 2 * pi * r

theta represents the central angle subtended by the arc which is a right angle according to the question (a right angle is 90 degrees)

r is the circle radius which is 20 inches

so we have the length of the arc as;

90/360 * 2 * pi * 20 = 40 pi/4 = 10 pi

Answer: (c)

Step-by-step explanation:

In the given figure, two triangles are similar namely [tex]\triangle ABC[/tex] and [tex]\triangle ADB[/tex]

For similar triangles, the ratio of the corresponding sides are equal.

For option (a), Hypotenuse to Perpendicular ratio is given, that is correct

Similarly for option (b), Perpendicular to hypotenuse ratio is given

Both option (a) and (b) gives the same value of [tex]x[/tex] that is,

[tex]\Rightarrow x=\sqrt{81\times 45}\\\Rightarrow x=60.37[/tex]

Option (c) does not give the correct value of  [tex]x[/tex]

Answer:

C

Step-by-step explanation:

In the given figure, two triangles are similar namely  and  

For similar triangles, the ratio of the corresponding sides are equal.

For option (a), Hypotenuse to Perpendicular ratio is given, that is correct

Similarly for option (b), Perpendicular to hypotenuse ratio is given

Both option (a) and (b) gives the same value of  that is,

Option (c) does not give the correct value of  

Answer:

Hope you find it helpful and usef

Rewrite the fractions as decimals by dividing:

7/8 = 0.7777

3/4 = 0.75

1/2 = 0.5

2/3 = 0.666

0.777 is the largest number so 7/9 is the largest fraction.

Answer: 7/9

Answer:

2/3

Step-by-step explanation:

L.C.M:36

7/9:28/36

3/4:27/36

1/2:1836

2/3:36/36

Answer:

B. 13.95 meters

Step-by-step explanation:

The question is just asking you to talk the amount of time taken, and divide it in half.

d= 0.5(27.9)

The three inside angles of a triangle equal 180.

Subtract the two known angles from 180.

180 - 118.6 - 42.3 = 19.1

The third angle is 19.1

Answer:

-x²-2x+3

Step-by-step explanation:

The first thing I noticed is that the first and second point has the same y intercept despite being only 2 x coordiantes away. This must mean that the vertex's x coordiante is probably (-1,4)

Because the vertex is probably (-1,4) the graph must also be concave down because the point (-4,-5) is below it

writing this in vertex form we get

-a(x+1)²+4

Where a is some constant

solve for a by plugging in (0,3)

3= -a(0+1)²+4

3= -a+4

-1= -a

a=1

therefore the equation looks like

-(x+1)²+4

expanding this so that it's in stantard form...

-(x²+x+x+1)+4

-x²-2x+3

which is the final answer

Answer:

SN

Step-by-step explanation:

The line segment that is adjacent to angle ∠N will be NS and NJ. Then the correct options are A and B.

The polygonal shape of a triangle has a number of sides and three independent variables. Angles in the triangle add up to 180°.

A line segment in mathematics has two different points on it that define its boundaries. A line segment is sometimes referred to as a section of a path that joins two places.

The triangle ΔNSJ is a right angle triangle in which the angle ∠NSJ will be a right angle that is 90°.

The line segment that is adjacent to angle ∠N will be NS and NJ. Then the correct options are A and B.

More about the triangle link is given below.

https://brainly.com/question/25813512

#SPJ2

Answer:

345

Step-by-step explanation:

The velocity of a car over five hours is given by:

[tex]\displaystyle v(t)=60\ln(t+1),\, 0 \leq t \leq 5[/tex]

And we want to find the total distance traveled from t = 0 to t = 5.

Recall that distance is the integral of the absolute value of the velocity function. Since we want to find the total distance traveled from t = 0 to t = 5, our limits of integration are t = 0 and t = 5. Hence:

[tex]\displaystyle D=\int_0^5 |\underbrace{60\ln(t+1)}_{v(t)}|\, dt[/tex]

Since v(t) ≥ 0 for all t in the interval [1, 5], we can remove the absolute value. Use a calculator:

[tex]\displaystyle D=60\left(6\ln(6)-5)=345.0334...\approx 345[/tex]

Answer:

y=|x -3| -1

Step-by-step explanation:

Answer:

r = 30°

Step-by-step explanation:

According to the Exterior Angle Sum Theorem, the exterior angle, which is 90°, is equal to the 2 interior angles, which are 60° and r°. We know that the angle next to the exterior angle is 90°, and since all angle sums add up to 180°, r = 30°.

Answer:

1: 16

2: 4940

3: 24

4: 25

5: 9

Step-by-step explanation:

A permutation is a method of calculating the number of possible outcomes. It follows the following general formula;

[tex]_nP_r=\frac{n!}{(n-r)!}[/tex]

There (n) is the number of objects, and (r) is the number of objects selected.

1. Arranging 4 pots with different plants in a row

In order to solve this, one needs two pieces of information, the number of objects, and the number of objects selected. One is given the number of objects; (4), but when the problem states "in a row" it never specifies how many plants are in a row. Thus, let one assume that a "row" can have an infinite amount of space, but in this case, only (4) space will be used. Therefore there are (4) objects with (4) objects selected. However, the drawback is that the combination formula doesn't work when the two parameters (n) and (r) are the same. Hence, to solve this special case, one simply multiplies the two numbers to get the answers:

[tex]n*r\\\\=4*4\\\\=16[/tex]

2. Forming a four-digit ATM pin

One is given that there are (4) digits in the ATM pin, this is the number of objects selected. One is also given that number of objects, there are (10) digits including (0). Set up the permutation and solve;

[tex]_nP_r=\frac{n!}{(n-r)!}[/tex]

[tex]_1_0P_4=\frac{10!}{(10-4)!}\\\\=\frac{10!}{6!}\\\\=\frac{10*9*8*7*6*5*4*3*2*1}{6*5*4*3*2*1}\\\\=10*9*8*7\\\\=4940[/tex]

3. Securing a motorcycle with a three-digit combination lock using the numbers (1), (2), (3), and (6).

There are (4) digits to choose from on the lock. But there are (3) numbers that can be selected.

[tex]_4P_3=\frac{4!}{(4-3)!}\\\\=\frac{4!}{1!}\\\\=\frac{4*3*2*1}{1}\\\\=4*3*2*1\\\\=24[/tex]

4. Displaying 3 identical small vases, 1 figure, and a photo frame in a row.

There are (5) objects, and (5) spaces (read problem (1) for an explanation for the objects being put in a row). Thus, this is a special case; multiply the two numbers to get the result;

[tex]n*r\\=5*5\\=25[/tex]

5. 3 girls sitting around a circular table

There are (3) subjects, and (3) spaces in this problem. Apply the same logic applies to a row in this problem. Therefore, this is another special case; multiply the two numbers to get the result;

[tex]n*r\\=3*3\\=9[/tex]

Hello!

(3n + 2) - 10 =

= (3 × 3 + 2) - 10 =

= (9 + 2) - 10 =

= 11 - 10 =

= 1

Good luck! :)

[tex]\displaystyle\bf (3n+2) -10 \ if \ n=3\Longrightarrow 3\cdot3+2-10=11-10=\boxed{1}[/tex]

Answer:

Step-by-step explanation:

From the picture attached,

ΔDEF is a right triangle with two sides,

EF = 17 units

DF = 20 units

By applying Pythagoras theorem in the given triangle,

DE² = DF² + EF²

(20)² = DF² + (17)²

DF² = 400 - 289

DF = √111

Trigonometric ratios for the ∠F,

sin(F) = [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex]

[tex]\text{sin}F=\frac{\sqrt{111}}{20}[/tex]

[tex]\text{cosF}=\frac{\text{Adjacent side}}{\text{Hypotenuse}}[/tex]

[tex]\text{cos}F=\frac{17}{20}[/tex]

[tex]\text{tan}F=\frac{\text{Opposite side}}{\text{Adjacent side}}[/tex]

[tex]\text{tan}F=\frac{\sqrt{111}}{17}[/tex]

Choose the correct option.

Answer:

3/8 feet long

Step-by-step explanation:

Find how long each piece was by dividing 6 by 16:

6/16

Simplify this by dividing each number by 2:

6/16

= 3/8

So, each piece was 3/8 feet long

Full question attached

Answer:

1. Subjects were not aware of the purpose of the experiment.

2. Subjects were not aware of all potential risks.

Subjects were not aware of the purpose of the experiment.

3. Subjects were coerced into participating

Explanation:

Ethics are the moral principles and codes that guide our daily decisions and actions. Ethical issues in conducting experiments or research aim at protecting the dignity of subjects or participants in the research. Major ethical issues in conducting research include: Respect for anonymity and confidentiality, beneficence(should not harm participants), and informed consent(independently volunteers after clear comprehensive information on research).

1. Experiment violates informed consent as participants were not aware of the purpose of research.

2. Experiment violates informed consent and beneficence as participants weren't fully informed and faced the risk of being harmed.

3. Experiment violates beneficence and informed consent as participants faced the risk of being harmed and did not independently volunteer for the research.

Answer:

as x increases, y increases

Step-by-step explanation:

Answer:

B. as x increases, y increases

Step-by-step explanation:

Step-by-step explanation:

price after discount and with vat = 9605