PLEASE HELP!! 50 POINTS!!

PLEASE HELP!! 50 POINTS!!

Answers

Answer 1

Part A

[tex]\sf{ change \ of \ base \sf \ : \ \ \ \log _{b} a=\dfrac{\log _{d} a}{\log _{d} b}}[/tex]

Part B

Some common choices for base:

2310

Part C

[tex]\longrightarrow\ \sf \log _{2} 3=\dfrac{\log _{3} 3}{\log _{3} 2}}[/tex]

[tex]\longrightarrow\ \sf \log _{2} 3=\dfrac{1}{0.631}}[/tex]

[tex]\longrightarrow\ \sf \log _{2} 3=\dfrac{1}{0.630929}}[/tex]

[tex]\longrightarrow\ \sf \log _{2} 3=1.584962501[/tex]

[tex]\longrightarrow\ \sf \log _{2} 3 = 1.58[/tex]

1.58 is the value when rounded to nearest hundredth.


Related Questions

Yo I need to bring up my grade bad so
-3x-9=-3y
(please show it graphed already :D)

Answers

Answer:

Step-by-step explanation:


Hello, I need help with my work, someone ANYONE please help me, you will make my day if you help me.

Answers

Answer:

2.5, 3, 6, 9, 2.8, 6, 1.5

Is this what you're asking for?

Step-by-step explanation:

Two sides of a triangle are 8 inches and 12 inches long each. Which of the following could be the length of the third side that would form a triangle?

Answers

Answer: All except 3 in.

Step-by-step explanation:

 Two shorter sides of a triangle are equal to or bigger than the longest side. So the answer is all of them except 3 inches.

B
An athlete ran uphill at 3 metres per second for x seconds , downhill
at 6 metres per second for y seconds and covered a total distance
of 375 metres . If the athlete took 5 seconds longer to run uphill than
downhill, calculate the values of xandy.
(5)

Answers

Step-by-step explanation:

- The distance traveled to get to the top of the hill will be equal to the distance traveled to get to the bottom of the hill. Distance down the hill = Distance up the hill = 187.5 meters.

- Only the speed of going up the hill and down the hill will be different.

The vertices of a rectangle are E(−1, 1), F(−1, 3), G(−5, 3), and H(−5, 1). Find the coordinates of the figure after reflecting in the x-axis, and then translating 3 units right.

Answers

The resulting points of the rectangle after applying rigid transformations are E'(x, y) = (2, -1), F(x, y) = (2, -3), G(x, y) = (-2, -3), H(x, y) = (-2, -1).

How to apply rigid transformations on geometrical loci

Rigid transformations are transformations in which Euclidean distances are conserved in every point of the geometrical locus. Reflections and translations are sound examples of rigid transformations.

Based on all the information given in the statement, we must apply the following vectorial formula to each vertex of the rectangle EFGH:

(x', y') = (x + 3, -y)     (1)

If we know that E(x, y) = (-1, 1), F(x, y) = (-1, 3), G(x, y) = (-5, 3) and H(x, y) = (-5, 1), then the new coordinates are calculated below:

E'(x, y) = (2, -1), F(x, y) = (2, -3), G(x, y) = (-2, -3), H(x, y) = (-2, -1)

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WRITE INEQUALITY AND SOLVE• Lamar weighs 250 pounds. If he loses 10 pounds
and then 2 pounds per week after that, how many
weeks will it take him to weigh less than 175 pounds?

Answers

Answer:

40 weeks

Step-by-step explanation:

2 x 40 = 80

240-80=160

so for him to get under 175 it could be 40

i am so sorry if this is inccorect.

how much would $500 invested at a 4% interest compounded continuosly be worth after 7 years round your answer to the nearest cent

Answers

Answer: F = 661.56

Step-by-step explanation: interest formula: F = Pe^(rt)

F = future value

P = present value = 500

r = interest rate = 0.04

t = years = 7

F = 500e^(0.04 * 7)

Find f(-2) for (x) = 3 . 2^x
O A. -36
O B. -12
O c.1/36

O D. 3/4

Answers

[tex]\sf f(x) = 3 \ * \ 2^x[/tex]

insert x = -2

[tex]\sf f(-2) = 3 \ * \ 2^{-2}[/tex]

[tex]\sf f(-2) = 3 \ * \ \dfrac{1}{4}[/tex]

[tex]\sf f(-2) = \dfrac{3}{4}[/tex]

option D. 3/4 will be the correct answer.

[tex]\\ \rm\Rrightarrow f(x)=3.2^x[/tex]

Put -2

[tex]\\ \rm\Rrightarrow f(-2)[/tex]

[tex]\\ \rm\Rrightarrow 3.2^{-2}[/tex]

[tex]\\ \rm\Rrightarrow 3(1/4)[/tex]

[tex]\\ \rm\Rrightarrow 3/4[/tex]

What's the answer for this!

Answers

The options for each paragraph are listed below:

First paragraph50100001000Second paragraph0maximum18.498.6017.2How to fill the blanks in paragraphs on applications of second order polynomials

In this question we are supposed to understand and apply concepts related to second order polynomials to fill the blanks when required in the following two paragraphs.

First paragraph talks about second order polynomials applied to economics and the second paragraph talks about second order polynomials applied to kinematics.

First paragraph

The roots of the quadratic function describing the relationship between number of products produced and overall profit margin are x = 0 and x = 100. The vertex is (50, 1000).

The maximum profit of $ 50 is reached when 1000 items are produced.

The first root tells us that the profit will be 0 when 0 products are produced. The second root says once 1000 items are made, the company is no longer making any profit. (They do not have production capacity and have to outsource for anything over 50)

Second paragraph

The trajectory of a golf ball in a chip from the rough has a parabolic pattern. The height, in feet, of the ball is given by the equation h(x) = -0.25 · x² + 4.3 · x, where x is the number of feet away from the golf club (along the ground) the ball is.

The ball starts 0 feet above the ground.

The ball reaches a maximum height of 18.49 feet at a horizontal distance of 8.60 feet away from the golf club its was hit with.

The ball returns to the ground at about 17.2 feet away.

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A substance requires 310 J of heat to raise the temperature from 19
°C to 42 °C.. If the mass of the substance is 20 g, what is the specific
heat of the substance?

Answers

Answer:

.674  j / (g-C)

Step-by-step explanation:

Spec heat = heat required to raise 1 gram of substance 1 degree celsius

       Spec heat units : j / (gm-C)

soooo     310 j / (20g * (42-19)C  = .674

What us the diameter of a hemisphere with a volume of 5403ft³, to the nearest tenth of a foot?

Answers

Answer:

Volume of a sphere is 4/3πr^3

Determine r for the radius and multiply by 2 for diameter

A pharmacist orders medications for a total of $6,439.65.a 6 44% discount is given if payment is made within
15 days, and a 2.5% discount is given if payment is made within 30 days. how much money can be saved by paying in 15 days instead of 30 days?

Answers

Answer:

2,672.45475 (round if needed)

Step-by-step explanation:

44 percent to a decimal is 0.44

2.5 percent to a decimal is 0.025

6,439.65 × 0.44 = 2833.446 (within 15 days)

6,439.65 × 0.025 = 160.99125 (within 30 days)

2833.446 - 160.99125 = 2,672.45475

Find the third side, round the nearest 10th

Answers

Answer:

11.9

Step-by-step explanation:

Pythagorean theorem:

[tex]a^2+b^2 = c^2[/tex]. where a and b are the sides and c is the hypotehnus (the side in front of the 90 degree angle)

[tex]22^2 + b^2 = 25^2\\484 + b^2 = 625\\b^2 = 625-484\\b^2 = 141\\b = \sqrt{141} \\b = 11.9[/tex]

Answer:

11.9

Step-by-step explanation:

This is a right triangle so I can solve this with the pythagorean theorem.

Set up the equation 22²+x²=25² x would be the third side

Simplify, 484+x²=625

Subtract from both sides 484-484+x²=625-484

x²=141

Find the square root of 141 to get x

The square root of 141 is approximately 11.9 rounded to the nearest tenth.

Juan has $640 to spend at a bicycle store for some new gear and biking outfits. Assume all prices listed include tax.
He buys a new bicycle for $265.36.
He buys 2 bicycle reflectors for $13.61 each and a pair of bike gloves for $37.11.
He plans to spend some or all of the money he has left to buy new biking outfits for $54.87 each.

What is the greatest number of outfits Juan can buy with the money that's left over?

Answers

Answer:

Juan can buy 6 outfits with the money that's left over.

Step-by-step explanation:

Take $640-$265.36-$13.61-$37.11 and then divide

the answer, $332.92 by $54.87.

Juan spent a total of $316.08 on the bicycle, reflectors, and gloves. With the remaining $323.92, he can buy a maximum of 6 biking outfits priced at $54.87 each.

Given that,

Juan has $640 to spend at a bicycle store for new gear and biking outfits.

He buys a new bicycle for $265.36.

He buys 2 bicycle reflectors for $13.61 each.

He buys a pair of bike gloves for $37.11.

To determine the greatest number of outfits Juan can buy with the money he has left,

Calculate the remaining amount after purchasing the bicycle, reflectors, and gloves.

Juan's initial budget is $640.

After buying the bicycle for $265.36, the remaining amount is,

$640 - $265.36 = $374.64.

Next, he buys 2 bicycle reflectors for $13.61 each, which is a total of

2 x $13.61 = $27.22.

Subtracting this amount from the remaining budget, we have

$374.64 - $27.22 = $347.42.

Additionally, he purchases a pair of bike gloves for $37.11, leaving him with $347.42 - $37.11 = $310.31.

Finally, dividing the remaining budget by the cost of each biking outfit, which is $54.87,

Then Juan can buy a maximum of $310.31 / $54.87 ≈ 6 outfits.

Therefore, the greatest number of biking outfits Juan can buy with the money left over is 6.

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Select the correct answer.
What is the range of the function shown on the graph?
у
1
6
2-
4
-8
-6
x
х
-2
2
8
-21
64
8

Answers

please show the full question as an image so people can see it better

The range of the function shown on the graph is 20≤y≤60

What is a function?

A relation is a function if it has only One y-value for each x-value.

What can go into a function is called the Domain.

What may possibly come out of a function is called the Codomain.

What actually comes out of a function is called the Range.

Range is all the possible values of 'y'.

When we observe the graph, the smallest value of 'y' is 20, where the point is (6, 20), and the largest value of 'y' is 60, where the point is (1, 60).

Therefore, the range of the function shown on the graph is 20≤y≤60

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What is the range of the function in the graph?

. 1≤x≤6

B. 20≤y≤60

C. 20≤x≤60

D. 1≤y≤60

Find the area of this figure! (Don’t give me a big explanation, i have 30 mins to get this ixl to 90, currently at 74)

Answers

315 m²

area of rec + area of rec + area of rec +  area of triangle

⇒ length + width + length + width + length + width + 1/2 * base * height

⇒ 19 * 6 + 9 * 9 + 18 * 5 + 1/2 * 12 * 5

⇒ 90 + 30 + 81 + 114

⇒ 315 m²

Answer:

315 m²

Step-by-step explanation:

As this figure may seem complicated, we can split it into four separate figures.

Area

Area of vertical rectangle + Area of left horizontal rectangle + Area of right horizontal rectangle + Area of triangle6 x 10 + (9 + 6) x (19 - 10) + 18 x 5 + 1/2 x 12 x (18 + 9 + 6 - 17 - 11)60 + 15 x 9 + 90 + 6 x 560 + 135 + 90 + 30180 + 135315 m²

Find the area of the figure. Use 3.14 as π.

Answers

area triangle:

b×h/2

= 11 in×10 in/2

=55 in²

area half-circle:

pi×r² /2

= 3.14×5in² /2

=78.5in² /2

=39.25 in²

Total area: area triangle+ area half-circle

= 55 in²+39.25 in²

=94.25 in²

Complete the table and then graph the function.
y = 5x

Answers

Answer:

Coordinates: (0,0) ; (1,5) ; (2,10)

Step-by-step explanation:

x  |  y

0  0

1   5

2  10

Coordinates: (0,0) ; (1,5) ; (2,10)

This should be a straight line that is going diagonally with a positive slope.

What is the perimeter of the triangle shown below, if side a = 6 cm and side b = 8 cm?

Answers

Answer:

The answer is 24 cm.

Step-by-step explanation:

Since we know two sides, we can find the third side. Using the pythagorean theorm, a^2 + b^2 = c^2, this gives us:

6^2 + 8^2 = c^2

36 + 64 = c^2

100 = c^2

Square root of 100 = c

10 = c.

Hope this helps!

1. what can you say about the sum of the measures of <1 and <3?

Statement.
Reason.

i really need help ​

Answers

[tex]\huge\tt \underline{Question}[/tex]

1. what can you say about the sum of the measures of <1 and <3?

[tex]\huge\tt\underline{Answer}[/tex]

[tex]\tt{Statements:}[/tex]

[tex]m < 1 + m < 3 = 90[/tex]

[tex]\tt{Reasons:}[/tex]

Definition of perpendicularity

[tex] \\ \\ [/tex]

see the picture above

= "i hope it's help"

the ratio of the 6th and 8th term of an ap is 7:9. find the ratio between the sum of its first 10 terms to sum of its first 20 terms

Answers

Step-by-step explanation:

Tn = a + (n-1)d

where a is the first term, d is the common difference and n is the nth term

For the 6th term: T6 = a + (6-1)d

= a + 5d

For the 8th term: T8 = a + (8-1)d

= a + 7d

From the question (a + 5d)/(a + 7d) = 7/9

From the Equation above, we can say that;

a + 5d = 7......1

a + 7d = 9.....2

Solving equations 1 & 2 simultaneously, we have that a = 2 and d = 1

Sn = n/2[2a + (n-1)d]

where Sn is the sum of nth terms, n is the nth term, a is the first term and d is the common difference.

By substituting the values gotten into this equation. You would be able to find the ration between the sum of the first 10 terms to the sum of the first 20 terms

Answer:

see analysis for detailed explanation

17. Instructions: Use the ratio of a 45-45-90 triangle to solve for the variables. Leave your answers as radicals in simplest form.

Answers

Answer:

  u = v = 14

Step-by-step explanation:

The ratios of side lengths in a 45-45-90 triangle are ...

  1 : 1 : √2

Here, the long side is 14√2, so is 14 times this basic ratio.

  1 : 1 : √2 = u : v : 14√2 = 14 : 14 : 14√2

This means ...

  u = v = 14

Answer:

Below in bold.

Step-by-step explanation:

The ratio of the sides in a 45-45-90 are 1:1:√2.

so V / 14√2 = 1 / √2

V = 14√2 / √2 = 14.

and U = V = 14 also.

what's 2 to the -3rd power

Answers

Do you really feel fly in true religion

The radius of a circle is 14 meters. What is the circle's area?
r=14 m
Use 3.14 for .

Answers

Answer:

The formula for the area of a circle:

[tex]A = \pi r^{2}[/tex]

You have said:

[tex]r = 14m[/tex]

So substitute the values of pi and r into the formula:

[tex]A = \pi r^{2} \\A = (3.14)(14m)^{2} \\A = (3.14)(196m^{2} )\\A = 615.44m^{2}[/tex]

Area of a circle = pi * r^2

So in this case: (3.14) * (14)^2 = 615.44

i really need the help with this multiple choice question for geometry.

Answers

Answer:

  A.  50°

Step-by-step explanation:

The external angle ACB created by tangents CA and CB is the supplement of arc AB it intercepts.

  ∠ACB = 180° -AB

  ∠ACB = 180° -130°

  ∠ACB = 50°

please answer quickly!! what is the exact value of x and y? please leave an answer if you’re going to comment!! (i’ve posted this 3 times)

Answers

To solve this problem

  ⇒ need to use the special right triangle theorem

    ⇒ 30-60-90 triangle theorem (look at diagram attached for the property)

(we can use this theorem because the square on one of the angles indicates that the angle is 90 degrees. The other angle is indicated as 60 degrees. All the angles of a triangle should add up to 180, so the last angle is 30 degrees)

Using the theorem:

the side facing opposite the 60-degree angle is equal ⇒ [tex]x\sqrt{3}[/tex]

            [tex]x\sqrt{3} =17\sqrt{3} \\x = 17[/tex]

the side facing opposite the 90-degree angle is twice the value of x  

             [tex]y = 2x = 2 * 17 =34[/tex]

Answers:

  x = 17 and y = 34

Hope that helps!

X=17 y=34

EXPLANATION:According to the 30 60 90 rule the Y value would be double the x and the x in the longer leg would be the short leg value

Nadia walks at an average speed of (x + 2) km/h for (x – 3) hours and cycles at an average speed of (3x + 5) km/h for x hours. She covers a total distance of 74 km. (i) Form an equation in x and show that it reduces to 4x2 + 4x - 80 = 0. (ii) Solve the equation 4x2 + 4x – 80 = 0. (iii) Find the time taken for her entire journey.​

Answers

The time taken by Nadia for her entire journey is 5 hours

Speed and distance

Speed is the rate at which an object is moving, and it is defined as the distance traveled per unit of time. The formula for speed is:

           Speed = Distance/Time

Where distance is the distance traveled by an object and time is the time taken to travel that distance.

From the fomrula, we can write as

          Distance = Speed × Time

Here we have

Nadia walks at an average speed of (x + 2) km/h for (x – 3) hours and cycles at an average speed of (3x + 5) km/h for x hours.

As we know, Distance = Speed x Time  

Distance walked = (x + 2)(x - 3)

Distance cycled = (3x + 5)(x)

The total distance covered is given as 74 km,

=> (x + 2)(x - 3) + (3x + 5)(x) = 74

=> x² - 3x + 2x - 6 + 3x² + 5x = 74

=> 4x² + 4x - 80 = 0

Hence, the final equation is 4x² + 4x - 80 = 0

(ii) The quadratic equation, can be solved as follows

=> x² + x - 20 = 0  

=> x² + 5x - 4x - 20 = 0

=> x(x + 5) -4(x + 5) = 0

=> (x + 5) (x - 4) = 0

=> x = - 5 and x = 4

Here we cant take time as negative so take x = 4 hours

(iii) To find the time taken for her entire journey, we need to add up the time taken for walking and cycling:

Total time = (x - 3) + x

Total time = 2x - 3

Substituting the value of x  

Total time = 2(4) - 3 = 8 - 3 = 5

Therefore,

The time taken by Nadia for her entire journey is 5 hours

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Write a two-column proof on a space provided

Answers

Answer:

Step-by-step explanation:

What pair of factors of -28 has a sum of -3

Answers

Answer:

4 and -7

Step-by-step explanation:

Factors of -28: - 1, 1, - 2, 2, -4,4 ,-7,7,-14,14,-28,28

Factors with a sum of -3 = 4 and -7.

-7 and 4 is the pair of factors of -28 which also has the sum of -3

pls help ill kiss u

Write a recursive sequence that represents the sequence defined by the following
explicit formula:
an=-5(3)n+1

Answers

Answer:

a1= -45

an= -5 ⋅ 3^n+1

Step-by-step explanation:

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