A ladder is leaning against a building. Match the values with their descriptions.


(K is up Above the G )

Answer:

B. 2 * log (9)

Step-by-step explanation:

I put them both into my calculator and got the same answer both times.

The expression that is equivalent to log(9^2) is 2log89. Option B is correct.

According to the law of logarithm,

log (a^b) = blog a

Note that the power of the function is taken to the back of the logarithmic function.

Given the log function log(9^2), to get the equivalent expression, we will simply take the power which is 2 to the back of the log function to have 2log9

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I don't have many friends to get messages in my email box

Step-by-step explanation:

Marco bought 10 gifts = 11. 50

If 5 bracelets = 1.50 x 5 = 7.5

4 stickers = 4 x 1 = 4

So total cost = 7.5 + 4 = 11.5

g(x) is shifted 5 units right and 2 units up from f(x). Therefore, option B is the correct answer.

A translation in math moves a shape left or right and/or up or down. The translated shapes look exactly the same size as the original shape, and hence the shapes are congruent to each other. They just have been shifted in one or more directions.

The given functions are f(x)=x and g(x)=x+5+2.

Translation rules:

When the shape is moved towards the right by k units, then replace x with x + k.

When the shape is moved up by k units, then replace y with y + k.

So, the translation is g(x) is shifted 5 units right and 2 units up from the parent function.

Therefore, option B is the correct answer.

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Answer:

a. 17  b. 16/24

Step-by-step explanation:

a. Find the midpoints of each class interval which is:

7.5 x 2 = 15

12.5 x 9 = 112.5

17.5 x 5 = 87.5

22.5 x 5 = 112.5

27.5 x 3 = 82.5

Add all of these up to give 410

Add up the total of the frequency column which is 24

410 / 24 = 17.0833.....

Rounded to 2 significant figures, the answer is 17

b. Add together all the people under 20 which totals to 16 and put this over the total of 24 to give the fraction 16/24

The estimated mean time it took the students and the fraction of students who finished in less than 20 minutes is 17 and 2/3 respectively.

The mean of a grouped distribution can be written as :

Let's calculate the midpoint :

Midpoint = (Lower + Upper boundary) / 2

X ____ F __ FX

7.5 ___2 __ 15

12.5__ 9 __ 112.5

17.5 __ 5 __ 87.5

22.5 _ 5 __ 112.5

27.5 __3 __ 82.5

_____24 __410

The mean of the distribution = 410 ÷ 24 = 17.08 = 17 minutes

2.) Fraction of students that finished in less than 20 minutes :

Number of students who finished in less than 20 minutes = (2 + 9 + 5) = 16

Total number of students = 20

Fraction that finished in less than 20 minutes = 16/24 = 2/3

Therefore, 2/3 of the students finished in less than 20 minutes.

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Answer:

vertex(-6,-3)

Step-by-step explanation:

x^2+12+36-36+26

(x+6)^2-10

v=(-6,-10)

In one revolution of the wheel, a point on the edge travels a distance equal to the circumference of the wheel.

The wheel has radius 1 ft, so its circumference is 2π (1 ft) = 2π ft.

Then the point has a linear speed of

(1/4 rev/s) * (2π ft/rev) = 2π/4 ft/s = π/2 ft/s

The linear velocity of a point on the edge of the wheel is π/2 feet per second.

In this case, the wheel has a radius of 1 foot and makes 1 revolution in 4 seconds.

The circumference of a circle is given by the formula

C = 2πr, where r is the radius of the circle.

So, the circumference of the wheel is 2π(1) = 2π feet.

Now, the linear velocity of the point on the edge of the wheel is the distance traveled (circumference) divided by the time taken, which is:

Linear velocity = Circumference / Time = 2π feet / 4 seconds

Linear velocity = π/2 feet per second

So, the linear velocity of a point on the edge of the wheel is π/2 feet per second.

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Answer:

y=-2x-2

Step-by-step explanation:

Since this line is supposed to be parallel it will have the same slope.

y=-2x+b

no plug in the (0,-2)

-2=b

y=-2x-2

Step-by-step explanation:

tags is not a fixed cost

Step-by-step explanation:

C

Answer:

The answer is C

Step-by-step explanation:

I took the test and got it right :)

hopefully this helps you :)

pls mark brainlest ;)

Answer:

D

If you put the equation into a calculator, it will show a graph of it.

Answer:

There are two qestions that both have different answers. Here are both of them. One is B one is A

Step-by-step explanation:

Answer:

A on Edge 2023

Step-by-step explanation:

Answer:4.1

Step-by-step explanation:

c=AB

C=26°

B=122°

b=8

Using sine rule

c/sinC = b/sinB

c/sin26=8/sin122

Sin26=0.4384

Sin122=0.8480

c/0.4384=8/0.8480

Cross multiply

c x 0.8480=8 x 0.4384

c x 0.8480=3.5072

Divide both sides by 0.8480

(c x 0.8480)/0.8480=3.5072/0.8480

c=4.1

Answer: 5/13

Step-by-step explanation:

Answer:

5/13 is in simplest form, because it cannot be reduced any further.

Step-by-step explanation: 4/20 can be reduced to 1/5, 6/9 to 1/3, and 14/21 can be reduced to 2/3

Answer:

6 inches per 1/2 of an hour

Step-by-step explanation:

in between 4 pm and 5 pm, the water level grows by 12 inches. in between 3:30 pm and 4 pm, the water level grows by 6 inches.

Answer:

122.6 min

Step-by-step explanation:

3 miles = 28 min

13.1 miles=x

28min x 13.1 miles=366.8/3=122.6 min

Answer:

122mins

Step-by-step explanation:

3 miles take 28mins

Therefore the pace refers to the speed of travel and is 3/28

The new time of travel = distance /speed

= 13.1 / 3/28

=13.1 * 28 /3

=122.27

=122minutes

Answer:

(2/3)^8

Step-by-step explanation:

Note that 2^8 = 256, and that 3^8 = 6561.

Then 256/6561 = (2/3)^8

Step-by-step explanation:

The answer as a decimal is 5.16666667

Answer:

The answer is 5

Step-by-step explanation:

It is 5 because when you subract a positive number to a negative number it is realy just adding them together so 4 1/3 - (-2/3) is the same as 4 1/3+2/3

Answer:

true

Step-by-step explanation:

x=3

The value of the variable x is 3. Then the equation is always true.

The distribution of weights to the variables involved that establishes the equilibrium in the calculation is referred to as a result.

A relationship between two or more parameters that, when shown on a graph, produces a linear model. The degree of the variable will be one.

The linear equation is given below.

(2/3)x + 4 = 2x

Simplify the equation, then the value of x will be

2x + 12 = 6x

4x = 12

x = 3

The value of the variable x is 3. Then the equation is always true.

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Answer:

The length of a side is [tex]4in^{3}[/tex]

Step-by-step explanation:

The question is not properly formatted. here is a better format .

"The volume of a cube is 64 cubic inches. Which expression represents s, the length of a side of the cube?

Recall the formula Cube [tex]v=l*l*l= l^{3}[/tex]

The problem bothers on the mensuration of solid shapes, a cube

Given data

Volume v =  [tex]64in^{3}[/tex]

length l=  ?

We can solve for the length by find the cube root of the volume, we have.

[tex]64= l^{3} \\l= \sqrt[3]{64} \\l= 4 in[/tex]

Answer: A or s=∛64

Step-by-step explanation: Edge2023

Answer:

a)95%  confidence intervals for the population mean of light bulbs in this batch

(325.5 ,374.5)

b)

The calculated value Z = 4 > 1.96 at 0.05 level of significance

Null hypothesis is rejected

The manufacturer has not right to take the average life of the light bulbs is 400 hours.

Step-by-step explanation:

Given sample size n = 64

Given  mean of the sample x⁻ = 350

Standard deviation of the Population σ = 100 hours

The tabulated value Z₀.₉₅ = 1.96

95%  confidence intervals for the population mean of light bulbs in this batch

[tex](x^{-} - Z_{\frac{\alpha }{2} } \frac{S.D}{\sqrt{n} } , x^{-} + Z_{\frac{\alpha }{2} }\frac{S.D}{\sqrt{n} } )[/tex]

[tex](350 - 1.96\frac{100}{\sqrt{64} } , 350 + 1.96\frac{100}{\sqrt{64} } )[/tex]

[tex](350 -24.5, 350 +24.5)[/tex]

(325.5 ,374.5)

b)

Explanation:-

Given mean of the Population μ = 400

Given sample size n = 64

Given  mean of the sample x⁻ = 350

Standard deviation of the Population σ = 100 hours

Null hypothesis : H₀:The manufacturer has right to take the average life of the light bulbs is 400 hours.

μ = 400

Alternative Hypothesis: H₁: μ ≠400

The test statistic

[tex]Z = \frac{x^{-}-mean }{\frac{S.D}{\sqrt{n} } }[/tex]

[tex]Z = \frac{350 -400}{\frac{100}{\sqrt{64} } }[/tex]

|Z| = |-4|

The tabulated value   Z₀.₉₅ = 1.96

The calculated value Z = 4 > 1.96 at 0.05 level of significance

Null hypothesis is rejected.

Conclusion:-

The manufacturer has not right to take the average life of the light bulbs is 400 hours.

Answer:

  3.3 ft

Step-by-step explanation:

Side NO is opposite the angle M, so the applicable trig relation is ...

  Sin = Opposite/Hypotenuse

  Opposite = Hypotenuse×Sin

  NO = MN×sin(39°) = (5.3 ft)sin(39°)

  NO ≈ 3.3 ft

Answer:

0

Step-by-step explanation:

The smallest (greater or equal to zero) multiple of 13 is 0

to get a positive multiple of 13 you have to multiply 13 by a natural number:

0 = 13×0

13 = 13×1

26 = 13×2

.

.

.

then the smallest one is 0.

Answer:

A square is always a rhombus.

Explanation:

A square has 4 sides of equal length.

Answer:

Answer:8 in the hundreds place is 10 times the value of the 8 in the tens place.

Step-by-step explanation:its easy

The hundreds place is 10 times of the tens place.

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

Division means the separation of something into different parts, sharing of something among different people, places, etc.

The value of 8 in the hundreds place. If the value of the 8 is in the tens place. Then the number will be 880.

Then the number of times of the hundreds place and tens place will be given by the division of the numbers 800 and 80.

⇒ 800 / 80

⇒ 10

The hundreds place is 10 times of the tens place.

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Answer:

3 1/4

Step-by-step explanation:

3/4 + (1/3 ÷1/6) - (-1/2)

Subtracting a negative is adding

3/4 + (1/3 ÷1/6) +1/2

Parentheses first

Copy dot flip

3/4 + (1/3 * 6/1) +1/2

3/4 + 2 + 1/2

Get a common denominator

3/4 + 2 + 2/4

2 + 5/4

2 + 4/4 +1/4

2+1 + 1/4

3 1/4

Answer: pi/3

Step-by-step explanation:

correct on edge 2020

The equivalent value of trigonometric relation sin⁻¹ ( √3/2 ) = π/3

Trigonometry is the study of the relationships between the angles and the lengths of the sides of triangles

The six trigonometric functions are sin , cos , tan , cosec , sec and cot

Let the angle be θ , such that

sin θ = opposite / hypotenuse

cos θ = adjacent / hypotenuse

tan θ = opposite / adjacent

tan θ = sin θ / cos θ

cosec θ = 1/sin θ

sec θ = 1/cos θ

cot θ = 1/tan θ

Given data ,

Let the trigonometric relation be represented as A

Now , the value of A is

sin⁻¹ ( √3/2 ) = θ

Now , the value of θ is calculated by

In a triangle , sin θ = opposite / hypotenuse

So , sin θ = √3/2

The value of θ = 60°

So , the measure of 60° in radians is θ = π/3

Hence , the value of θ from the trigonometric relation is π/3

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Answer:

(x+1)(x+2)

Step-by-step explanation:

Answer:

(x-1)(x-2)

Explanation:

To factor x^2-3x+2 as (x+a)(x+b) we need to find number a and b such that a+b=-3 ab=2

Summary of above: (−1)+(−2)=−3

So the integers we are looking for are

−1 and −2

Therefore, x^2-3x+2=(x-1)(x-2)

Answer:

.

Step-by-step explanation:

.