what’s 1 2/3 + 5 3/8

Answer:

The answer is D

Step-by-step explanation:

Answer:

10-6x

Step-by-step explanation:

Hope this helped, have a great day! (mark brainliest if you want to help XD)

Answer:

10 - 6x

as 2 x 5= 10

and 2 x 3 = 6

10 - 6x

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

Answer:

The given function is

[tex]h(x)=log_{\frac{1}{3} } (x)[/tex]

It's important to know that logarithms are the opposite function to exponentials, which means their domains and ranges are defined the opposite way.

The domain of logarithms is restricted, because negative numbers or the zero is not allowed in their domains. So, the domain of this function is: [tex]D:(0, infinite][/tex]

On the other hand, its range is not restricted, so it's defined: [tex]R: (infinite, -infinite)[/tex]

The image shows the graph of this function, there you can observe its domain and range set definitions.

See the attached picture:

Answer:

√5(√7-√2)

(√5+√2)(-√7)

Step-by-step explanation:

The Distributive Property:

a ( b + c ) = ab + ac

Where a, b and c are any real numbers.

The given options the correct expressions that require the use of the distributive property to simplify are √5(√7-√2) and

(√5+√2)(-√7)

Given the integers A, B, and C. According to the distributive property;

From the expression, you can see that A is distributed over B and C

So for distributive property, there must be a factor and the sum of terms in parenthesis. Based on the given options the correct expressions that require the use of the distributive property to simplify are √5(√7-√2) and

(√5+√2)(-√7)

Learn more on distributive property here: https://brainly.com/question/4077386

Answer:

n = 17-13

Step-by-step explanation:

n+13=17

Subtract 13 from each side

n+13-13 = 17-13

n = 17-13

Answer:

Volume=2/6cu.ft

Step-by-step explanation:

.........................

option B

Answer:

2x2 + 8x – 24 = 0

Step-by-step explanation:

[tex]2 {x}^{2} + 8x - 24 = 0 \\ lhs \\ =2 {x}^{2} + 8x - 24 ..(plug \: x = - 6) \\ 2 {( - 6)}^{2} + 8( - 6) - 24 \\ = 72 - 48 - 24 \\ 72 - 72 \\ = 0 \\ = rhs \\ \\ lhs \\ =2 {x}^{2} + 8x - 24 ..(plug \: x = 2) \\ 2 {( 2)}^{2} + 8( 2) - 24 \\ = 8 + 16 - 24 \\ 24 - 24 \\ = 0 \\ = rhs \\ [/tex]

Answer:

2 m/s=90 meters/45 seconds

Answer:

(X+8)(x-10

Step-by-step explanation:

The middle number is -2 and the last number is -80.

Factoring means we want something like

(x+_)(x+_)

Which numbers go in the blanks?

We need two numbers that...

Add together to get -2

Multiply together to get -80Try 8 and -10:

8+-10 = -2

8*-10 = -80

Fill in the blanks in

(x+_)(x+_)

with 8 and -10 to get...

(x+8)(x-10)

creo que la respuesta el 10 minutos, porque dice "horas" pero no dice a cuantas horas equivale :)      espero que te aya adudado auque sea un poquito

It takes my Father 3 hours to plow the our cornfield with his new tractor.

Using the old tractor it takes me 5 hours.

If we both plow for 1 hour before I go to school,how long will it take him to finish

:

let t = time Dad plows after he goes to school

:

Let the completed job = 1; (a plowed field)

:

A shared work equation

%28%28t%2B1%29%29%2F3 + 1%2F5 = 1

Multiply by 15, results

5(t+1) + 3 = 15

5t + 5 + 3 = 15

5t = 15 - 8

t = 7%2F5

ANSWER

t = 1.4 hrs or 1 + .4(60) = 1 hr 24 more minutes to finish

hope this helps :)

Answer:

Let's denote:

The probability that today is Monday: P(A)

The probability that a student is absent: P(B)

The probability that a student is absent given that day is Monday: P(B|A)

As given,

P(A intersect B) = 3/100

P(A) = 1/5

=> P(B|A) x P(A) = P(A intersect B)

=> P(B|A) = P(A intersect B)/P(A)  = (3/100)/(1/5) = 15/100 = 3/20

Hope this helps!

:)

Answer:

b

Step-by-step explanation:

Answer:

I dink Bs

Step-by-step explanation:

Answer:

1. (5·sin(A) - 3·cos(A)/(4·cos(A) + 5·sin(A))  = 1/8

2. θ = 30°

3. tan(θ) - cot(θ) = (2·sin²(θ) -1)/((cos(θ)×sin(θ))

from tan(θ) - 1/tan(θ) = sin(θ)/cos(θ) - cos(θ)/sin(θ) and sin²(θ) +  cos²(θ) = 1

4. tan10°·tan15°·tan75°·tan80°= 1 from;

sin(α)·sin(β) = 1/2[cos(α - β) - cos(α + β)]

cos(α)·cos(β) = 1/2[cos(α - β) + cos(α + β)]

5. x² + y² = a² + b² where x = a·cosθ - b·sinθ and y = a·sinθ + b·cosθ from;

cos²θ + sin²θ = 1

Step-by-step explanation:

1. Here we have 5·tan(A) = 5·sin(A)/cos(A) = 4

∴ 5·sin(A) = 4·cos(A)

Hence to find the value of (5·sin(A) - 3·cos(A)/(4·cos(A) + 5·sin(A)) we have;

Substituting the value for 5·sin(A) = 4·cos(A) into the above equation in both the numerator and denominator we have;

(4·cos(A) - 3·cos(A)/(4·cos(A) + 4·cos(A)) = cos(A)/(8·cos(A)) = 1/8

Therefore, (5·sin(A) - 3·cos(A)/(4·cos(A) + 5·sin(A)) = 1/8

2. For the equation as follows, we have

[tex]\frac{sin \theta}{1 + cos \theta} + \frac{1 + cos \theta}{sin \theta} = 4[/tex] this gives

[tex]\frac{2sin (\theta/2) cos (\theta/2) }{2 cos^2 (\theta/2)} + \frac{2 cos^2 (\theta/2)}{2sin (\theta/2) cos (\theta/2) } = 4[/tex]

[tex]tan\frac{\theta}{2} + \frac{1}{tan\frac{\theta}{2} } = 4[/tex]

[tex]tan^2\frac{\theta}{2} + 1 = 4\times tan\frac{\theta}{2}[/tex]

[tex]tan^2\frac{\theta}{2} - 4\cdot tan\frac{\theta}{2} + 1 = 0[/tex]

We place;

[tex]tan\frac{\theta}{2} = x[/tex]

∴ x² - 4·x + 1 = 0

Factorizing we have

(x - (2 - √3))·(x - (2 + √3))

Therefore, tan(θ/2) = (2 - √3) or (2 + √3)

Solving, we have;

θ/2 = tan⁻¹(2 - √3) or tan⁻¹(2 + √3)

Which gives, θ/2 = 15° or 75°

Hence, θ = 30° or 150°

Since 0° < θ < 90°, therefore, θ = 30°

3. We have tan(θ) - cot(θ) = tan(θ) - 1/tan(θ)

Hence, tan(θ) - 1/tan(θ) = sin(θ)/cos(θ) - cos(θ)/sin(θ)

∴  tan(θ) - 1/tan(θ) = (sin²(θ) -  cos²(θ))/(cos(θ)×sin(θ))...........(1)

From sin²(θ) +  cos²(θ) = 1, we have;

cos²(θ) = 1 - sin²(θ), substituting the value of sin²(θ) in the equation (1) above, we have;

(sin²(θ) -  (1 - sin²(θ)))/(cos(θ)×sin(θ)) = (2·sin²(θ) -1)/((cos(θ)×sin(θ))

Therefore;

tan(θ) - cot(θ) = (2·sin²(θ) -1)/((cos(θ)×sin(θ))

4. tan10°·tan15°·tan75°·tan80°= 1

Here we have since;

sin(α)·sin(β) = 1/2[cos(α - β) - cos(α + β)]

cos(α)·cos(β) = 1/2[cos(α - β) + cos(α + β)]

Then;

tan 10°·tan15°·tan75°·tan80° = tan 10°·tan80°·tan15°·tan75°

tan 10°·tan80°·tan15°·tan75° = [tex]\frac{sin(10^{\circ})}{cos(10^{\circ})} \times \frac{sin(80^{\circ})}{cos(80^{\circ})} \times \frac{sin(15^{\circ})}{cos(15^{\circ})} \times \frac{sin(75^{\circ})}{cos(75^{\circ})}[/tex]

Which gives;

[tex]\frac{sin(10^{\circ}) \cdot sin(80^{\circ})}{cos(10^{\circ})\cdot cos(80^{\circ})} \times \frac{sin(15^{\circ}) \cdot sin(75^{\circ})}{cos(15^{\circ})\cdot cos(75^{\circ})}[/tex]

[tex]=\frac{1/2[cos(80 - 10) - cos(80 + 10)]}{1/2[cos(80 - 10) + cos(80 + 10)]} \times \frac{1/2[cos(75 - 15) - cos(75 + 15)]}{1/2[cos(75 - 15) + cos(75 + 15)]}[/tex]

[tex]=\frac{1/2[cos(70) - cos(90)]}{1/2[cos(70) + cos(90)]} \times \frac{1/2[cos(60) - cos(90)]}{1/2[cos(60) + cos(90)]}[/tex]

[tex]=\frac{[cos(70)]}{[cos(70) ]} \times \frac{[cos(60)]}{[cos(60) ]} =1[/tex]

5. If x = a·cosθ - b·sinθ and y = a·sinθ + b·cosθ

∴ x² + y² = (a·cosθ - b·sinθ)² + (a·sinθ + b·cosθ)²

= a²·cos²θ - 2·a·cosθ·b·sinθ +b²·sin²θ + a²·sin²θ + 2·a·sinθ·b·cosθ + b²·cos²θ

= a²·cos²θ + b²·sin²θ + a²·sin²θ + b²·cos²θ

= a²·cos²θ + b²·cos²θ + b²·sin²θ + a²·sin²θ

= (a² + b²)·cos²θ + (a² + b²)·sin²θ

= (a² + b²)·(cos²θ + sin²θ) since cos²θ + sin²θ = 1, we have

= (a² + b²)×1 = a² + b²

The volume of the square pyramid having base edge and height as [tex]13[/tex] [tex]cm[/tex] and [tex]9[/tex] [tex]cm[/tex] respectively is [tex]507[/tex] [tex]cm^{3}[/tex].

Volume [tex]=\frac{1}{3}[/tex] × (base area) × (height)

First, find the area of the square base

Given, the edge of the square base  [tex]=13 cm[/tex]

Then, the area of the square base [tex]=13^{2}=169cm^{2}[/tex]

Given, the height of the square pyramid [tex]=9cm[/tex]

Now, apply the volume formulae

Volume [tex]=\frac{1}{3}[/tex] × [tex]169[/tex] × [tex]9=507cm^{3}[/tex]

Hence, the volume of the square pyramid is [tex]507cm^{3}[/tex].

Learn more about the square pyramid here-

https://brainly.com/question/17615619

#SPJ2

Answer:

A square with side length 1 unit, called 'a unit square,' is said to have 'one square unit' of area, and can be used to measure area.

Answer:

Cosine is Adj/Hyp

a simple trick i use when doing these kind of problems is first finding the sides. If you only know the Hypotenuse then you multiply that with the cos(x) or whatever angle it is. If you only know Adjacent then you divide the adjacent with the Cos(x) and you get the answer

Step-by-step explanation:

Answer:

C) x2 + 8x – 65 = 0

Step-by-step explanation:

just took it :)

Answer:

c

Step-by-step explanation:

Answer:

C.

Step-by-step explanation:

Adjacent / Hypotenuse = 24 / 25

Answer:

elon musk

Step-by-step explanation:

elon sends out random, uncalled for tweets, which mess with the stock value.

For example, when the stock was very high, he tweeted,"Tesla stock too high"

Answer:

I believe it is Kadeem who takes longer by 10 minutes.

Step-by-step explanation:

A person whose speed is slow will take longer to reach so Kadeem takes longer by 0.5 hours.

Given that,
Kadeem and Quinn both drive 25 miles.
Kadeem drives at a constant speed of 50 miles an hour.
Quinn drives at a constant speed of 75 miles an hour.
To determine who takes longer to drive the 25 miles.

Distance is defined as the object traveling at a particular speed in time from one point to another.

Here,
Time is taken by Kadeem to reach 25 miles with a speed of 25 miles per hour
= 25 / 50 = 0.5 hour

Time is taken by Quinn to reach 25 miles with a speed of 75 miles per hour,
= 25 / 75 = 0.34 hour

Thus, a person whose speed is slow will take longer to reach so Kadeem takes longer by 0.5 hours.

Learn more about distance here:

brainly.com/question/15172156

#SPJ2

Step-by-step explanation:

Volume of a sphere is given by

[tex]V = \frac{4}{3} \pi {r}^{3} [/tex]

Where r is the radius of the sphere

From the question

radius = 41 in

Substitute the value into the above formula

We have

[tex]V = \frac{4}{3} \times {41}^{3} \pi[/tex]

[tex] = \frac{275684}{3} \pi[/tex]

= 288695.6097

We have the final answer as

Hope this helps you

The answer on deltamath is

288695.6 in³

Answer:

There were 76 childrens and 14 adults.

Step-by-step explanation:

Since the group has a total of 90 children and adults, then the sum of the number of adults with the number of children must be equal to 90 as shown below:

children + adults = 90

Since the total cost for their tickets was 548 then the number of children multiplied by the price of their ticket summed by the number of adults multiplied by the price of their ticket must be equal to that. We have:

5*children + 12*adults = 548

With these two equations we have a system of equations shown below:

children + adults = 90

5*children + 12*adults = 548

In order to solve this we will multiply the first equation by -5, and sum both equations we have:

-5*children - 5*adults = -450

5*children + 12*adults = 548

7*adults = 98

adults = 98/7 = 14

children + 14 = 90

children = 90 - 14 = 76

There were 76 childrens and 14 adults.

Answer:

no

Step-by-step explanation: