can someone please help me out with this logarithm equation

Answer:

Answer is 45⁰

Step-by-step explanation:

The angle ATB IS 45⁰

Answer:

57

Step-by-step explanation:

There are 30 English

There are 28 German

There is one that speaks all 3

30 + 28 - 1 = 57

Answer:

90°

Step-by-step explanation:

Angle subtended by diameter from circumference is a right angle(Circle Theorem)

Answer:

Divide both sides by 5.

Step-by-step explanation:

Divide both sides by same non-zero constant.

it will be 3375 bacteria my ducky

Answer:

5.11811 inches

Step-by-step explanation:

Answer:

[tex]s - 144 = 290[/tex]

[tex]s = 434[/tex]

Step-by-step explanation:

the keyword is remaining. Meaning the teacher slready has 144 reserved but needs to get 290 spots more.

Answer:

There would be 104 rooms on 4 floors in total.

Step-by-step explanation:

If there were 26 rooms on 2 floors, then you multiply 26 x 4, the result would be 104 rooms on 4 floors in total.

Answer:

52 rooms

Step-by-step explanation:

you could set up a proportion to solve this

26 rooms/ 2 floors = ?/4 floors

to find the answer for the question mark you can divide the amount of rooms by floors and get 13.

With the 13 you can multiply that by 4 to get 52 rooms. You basically used the 13 as the amount of increase

i hope this helped

if you have anymore questions feel free to ask again:3

Answer:

Step-by-step explanation:

-5i+6j=x(1i+2j)+y(3i+4j)

-5=x+3y(multiply by 2)

6=2x+4y

-10=2x+6y

subtract

16=-2y

y=-8

-5=x+3(-8)

x=-5+24=19

-5i+6j=19(i+2j)-8(3i+4j)

so we can write (-5,6) as a linear combination of (1,2) and (3,4)

Answer:

Q13)A man is four times as old as his son. After 20 years, he will be twice as old as his son at that time. Find their present ages. Present age of the father is = 4 x = 4 × 10 = 40 4x=4\times10=40 4x=4×10=40 years.

Check the picture below, so the circle looks more or less like so, with a radius of 9.

[tex]\textit{circumference of a circle}\\\\ C=2\pi r~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ r=9 \end{cases}\implies C=2\pi (9)\implies C\approx 57[/tex]

Answer:

hey pls help me I urgently need help

Answer: 3/4 hour

Step-by-step explanation: Add them all to get 3 3/4. subtract that from 4 1/2.

The value of cos (a+b) when cos a= 3/5 with 0<a< π/2 and Sin b = - 8/17 with 3π / 2 <b < 2 π​, is 0.906.

According to the triangle angle sum theorem, the sum of all the angle(interior) of a triangle is equal to the 180 degrees. The formula for cos compound angle using angle sum theorem can be given as,

[tex]\cos (a+b)=\cos (a)\cos (b)-\sin (a)\sin (b)[/tex]

The exact value of cos (a+b)  has to be find out. It is given that,

[tex]\cos a= \dfrac{3}{5}[/tex]

The value of a is lies between 0<a< π/2. The value of other side of the triangle using the Pythagoras theorem,

[tex]5^2={x^2+3^2}\\x^2=25-9\\x=\sqrt{16}\\x=4[/tex]

Thus, the value of sin a is 4/5 from the trigonometry ratio. the value of sine b is,

[tex]\sin b = -\dfrac{8}{17}[/tex]

The value of b is lies between  3π / 2 <b < 2 π​. The value of the other side of the triangle using the Pythagoras theorem,

[tex]17^2={(-8)^2+y^2}\\y^2=289-64\\y=\sqrt{225}\\y=15[/tex]

Thus, the value of cos b is, 15/17. Put the values in above formula,

[tex]\cos (a+b)=\cos (a)\cos (b)-\sin (a)\sin (b)\\\cos (a+b)=\dfrac{3}{5}\times\dfrac{15}{17}-\dfrac{4}{5}\times\dfrac{-8}{17}\\\cos (a+b)=\dfrac{9}{17}+\dfrac{32}{85}\\\cos (a+b)=0.906[/tex]

Thus, the value of cos (a+b) when cos a= 3/5 with 0<a< π/2 and Sin b = - 8/17 with 3π / 2 <b < 2 π​, is 0.906.

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Answer:

Step-by-step explanation:

Given, The length of a rectangle is 10 ft less than three times the width, and the area of the rectangle is 77 ft²

Let's assume width of rectangle be x feet and Length of rectangle be 3x - 10. Using the formula of area of the rectangle we'll find the dimensions of the Rectangle.

[tex] \\ \dashrightarrow{ \red{\underline{\underline{\sf{Area (rectangle) = Length \times width }}}}} \\ \\ [/tex]

Substituting the required values:

[tex]\dashrightarrow \: \: (3x-10)(x) = 77 \\ [/tex]

[tex]\dashrightarrow \: \: 3x^2 - 10x = 77 \\ [/tex]

[tex]\dashrightarrow \: \: 3x^2 -10x -77 = 0 \\ [/tex]

[tex]\dashrightarrow \: \:3x^2 + 11x -21x -77 = 0 \\ [/tex]

[tex]\dashrightarrow \: \: x(3x+11)-7(3x+11) = 0 \\ [/tex]

[tex]\dashrightarrow \: \: (x-7)(3x+11) = 0 \\ [/tex]

[tex]\dashrightarrow \: \: { \red{\underline{\underline { x = 7 \: or \: \dfrac{-11}{3}}}} } \\ \\ [/tex]

Hence,

[tex] \therefore[/tex] The required dimensions of rectangle are 11 feet and 7 feet.

The dimensions of the given rectangle with an area of 77 ft^2 and given dimensions are; Length = 11 ft and Width = 7 ft

Formula for area of a rectangle is;

A = Length * Width

We are given;

Length; L = 3W - 10

Thus;

Area; A = W(3W - 10)

Thus;

W(3W - 10) = 77

3W² - 10W - 77 = 0

Using online quadratic equation calculator, we have;

W = 7

Thus;

L = (3*7) - 10

L = 11 ft

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Answer:

i guess not similar....

Step-by-step explanation:

Answer:

0.3

Step-by-step explanation:

Answer:

6 divided by 20 is 0.3

(your welcome)

Answer:

180

Step-by-step explanation:

because there are 60 minutes in an hour and you need 3 you need to add 60 + 60 + 60 or your can do 60 x 3 which equals 180

Answer:

180 minutes

Step-by-step explanation:

1 hour - 60 minutes

2 hours - 120 minutes

3 hours - 180 minutes

Because there is 60 minutes in an hour, you can do 60 x 3 = 180. This will directly tell us how many minutes are in 3 hours. Or, you can add 60 minutes 3 times for 3 hours.

So, 60 x 3 = 180. There are 180 minutes in 3 hours.

Check the picture below.

The marginal product of labour is -6+K a and the marginal product of capital is 2K + 4 + L.

From the information given, the production process is Q = K² + 4K + 12 - 6L + KL.

The marginal product of labour will be the first derivative which will be:

= -6 + K.

The marginal product of capital will be the first derivative which will be:

= 2K + 4 + L

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Using the normal distribution, it is found that the value of x is of 3.585.

In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

In this problem, the mean and the standard deviation are given, respectively, by [tex]\mu = 2.5, \sigma = 0.5[/tex].

The value of x is the 100 - 1.5 = 98.5th percentile, which is X when Z = 2.17, hence:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]2.17 = \frac{X - 2.5}{0.5}[/tex]

[tex]X - 2.5 = 0.5(2.17)[/tex]

[tex]X = 3.585[/tex]

Hence the value of x is of 3.585.

More can be learned about the normal distribution at https://brainly.com/question/24663213

Answer:

See below ↓↓

Step-by-step explanation:

A to B

C to D

Answer:

put x=1/2, you will get, r(1/2)=20*1/2-89

=10-89= -70.

hope it will help.

Answer:

this is your answer hope u like it

The amount of mg required per kg for the patient is 2,438.1mg/kg

Proportions are ratios of two integers.

Given the medication with a strength 125mg/5ml which has been ordered at 25 mg/kg.

For a patient that weighs 215lb, the weight in kg will be 97.5224kg

Since 25mg = 1 kg

x = 97.5224kg
x = 25 * 97.5224
x = 2,438.06

Hence the amount of mg required per kg for the patient is 2,438.06mg/kg

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Answer:

4 degrees celsius

Step-by-step explanation:

The closer the probability is to 1, the more likely it is to occur and the closer the probability is to 0, the less likely it is to occur.

This is the likelihood that an event will occur.

So, the closer the probability is to 1, the more likely it is to occur and the closer the probability is to 0, the less likely it is to occur.

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