Help me calculate
I think it's 35, is that right?​

Answer:

x = 3

Step-by-step explanation:

if you need an explanation let me know

Answer:

x = 3

Step-by-step explanation:

Given:

[tex] \implies \rm 3 {}^{x} + {3}^{x} = 54[/tex]

To Find:

Solution:

We could re-write 3^x+3^x as:

[tex] \implies \: 2(3 {}^{x} ) = 54[/tex]

Divide both sides by 2

[tex] \implies \cfrac{2(3 {}^{x}) }{2} = \cfrac{54}{2} [/tex]

[tex] \implies \: 3 {}^{x} = 27[/tex]

Take logarithm on both sides

[tex] \implies \: \log(3 {}^{x} ) = \log(27)[/tex]

[tex] \implies \: x \times \log(3) = \rm \: log \: (27)[/tex]

[tex] \implies \: x = \cfrac{ \log(27)}{ \log \:(3)} [/tex]

[tex] \implies \boxed{x = 3}[/tex]

Hence, x = 3 .

The surface area of the cone is 40π

A cone is a solid shape with a circular base and a tapered side.

Analysis:

surface area of a cone = πrl + π[tex]r^{2}[/tex] = π( 6x4) + π(4 x 4) = 40π

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Answer:

The volume is 11.7

Step-by-step explanation:

[tex]\frac{m}{v}[/tex] = d

[tex]\frac{2.6}{v}[/tex] = 4.5

4.5 × 2.6 = 11.7

v = 11.7

Answer:





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Question



A father is 30years older than his son. In 12years, the man will be three times as old as his son. Find their present ages.

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Solution



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Let the present age of the son be x years

Then father's age will be (x+30) years

Given after 12 years father will be three times as old as his son

Therefore,

(x+12)3=x+30+12

3x+36=x+42

3x−x=42−36

2x=6

x=3

x+30=3+30=33

So, the present age of son is 3 years and present age of the father is 33 years

Answer:

b. mode = 88, median = 77

Step-by-step explanation:

First, arrange all the numbers least to greatest.

53, 71, 75, 79, 88, 88

The mode is the number that occurs the most.

mode = 88

The median is the middle number. Since there is an even number of numbers, look at the two middle numbers 75 and 79. Add them together and divide by two (finding the average or mean of the numbers).

75 + 79 = 154

154/2 = 77

median = 77

Answer:

times and divide

they are both diffrent equations

Answer:

arc FS = 84°

Step-by-step explanation:

the inscribed angle QRF is half the measure of its intercepted arc QF , then

arc QF = 2 × 48° = 96°

the sum of the arcs on a semicircle = 180° , that is

QF + FS = 180°

96° + FS = 180° ( subtract 96° from both sides )

FS = 84°

Answer:

bacteria and fungi

Step-by-step explanation:

Single organism makes an exact copy of itself

Bacteria, some plants and fungi, few animals (sponges)

Offspring are identical to parent

Answer:

Factor and set each factor equal to zero. Y=x2+5x−8

Step-by-step explanation:

Answer:

600(1+1)^3 with future amount being 4800

Step-by-step explanation:

The amount of the money after 27 years will be $4800.

The quantity of money anyone has is termed as the amount. The solution to the question is given as follows:-

Given that investments double every 9 years and you start with a $600 investment. how much money would you have after 27 years?

We know that the amount is getting double in every 9 years so the number of times the amount will get doubled will be = 27 / 9 = 3

Future amount = 600(1+1)³

Future amount  = 600 ( 2 )³

Future amount = 600 ( 8 ) = $4800

Therefore the amount of the money after 27 years will be $4800.

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Answer:

0.05

explanation

value means total value

so it's 5*0.01

=0.05

The circumference of the circular playing field.

[tex]\huge\boxed{Formula:C= 2\pi{r}}[/tex]

We'll have to multiply 2, π and radius.

Substitute the values according to the formula.

[tex]C= 2× \pi ×7.5[/tex]

[tex]C= 47.12389 [/tex]

[tex]\large\boxed{C= 47.12 \: m}[/tex]

Therefore, the circumference of the circular playing field is 47.12 feets.

keeping in mind that twin sides stemming from a common vertex make twin angles at the "base", Check the picture below.

Answer:

b. 15%

Step-by-step explanation:

because it is 3 oranges and 3 is equal to 15%

Answer:

1.1x= 132

Step-by-step explanation:

Answer:

hope you can understand

Answer:

I think the answer would be 28

Answer:

Step-by-step explanation:

->period = [tex]\frac{2\pi }{2} =\pi[/tex]

->a=3, shift [tex]\frac{\pi }{4}[/tex]

->right 1 unit up

Rest are shown in graph

Answer:

x^32

Step-by-step explanation:

A fraction bar is a division symbol. When you are dividing, you can subtract the exponents.

x^56 / x^24

= x ^ (56-24)

= x^32

Answer:

x^32

Step-by-step explanation:

a^m/a^n = a^(m-n)

so, x^56/x^24 = x^(56-24) = x^32

Answer:

1.65 N

Step-by-step explanation:

Step 1: convert cm^2 to m^2

1 cm^2 = 0.0001 m^2

750 cm^2 = 0.075 m^2

Step 2: multiply pressure by area

F = P*A = 22 N/m^2 * 0.075 m^2 = 1.65 N

Answer:

B.

Step-by-step explanation:

First convert the equation to slope-intercept form:

2x - 5y = 7

-5y = -2x + 7

y = 2/5 x - 7/5

So the slope of the given line  is 2/5.

So the slope of a perpendicular line will be -1/ 2/5 = -5/2.

Take B:

5x + 2y = 3

2y = -5x + 3

y = -5/2.

So its B.

The answer to each question in the image is given below:

An equivalent equation can be defined as an equation that has the same meaning and also has the same answer with another equation or with an equation it is said to be equivalent with.

The above equation are equivalent to each other meaning they can be used to derive each other.

In conclusion, the list above is the right pairs of equivalent equations.

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Answer:

how many hours a week the employees are working?

Step-by-step explanation:

I could be wrong but that's my fault if it's wrong sorry

Answer:

A) -4, -2

Step-by-step explanation:

The translation vector is the distance

point A: (3, 1)

point A': (-7, -3)

3 + (-7) = -4

1 + (-3) = -2

Answer:

-4z

Step-by-step explanation:

Hi student! Let me help you out.

_____________________

Note that, -3z and -z are like terms. This means we can combine them right off the bat, which gives us [tex]\mathrm{-4z}[/tex].

[tex]\mathrm{-3z-z=-4z}[/tex]. -4z is our final answer.

Hope that this helped you! have a good day ahead.

Best Wishes!

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Answer:

-4z

Step-by-step explanation:

-3z-z

On combining like terms,

= -4z

Answer:

B. 4^8

Step-by-step explanation:

The indices of the base 4 can be added while multiplying i.e. 3+5=8 but the base remains the same.

Answer:

B

Step-by-step explanation:

Because in powers we just add so it will be 4^3+5

=4^8

Answer:1380

Step-by-step explanation: proportionality constant equals 1150/25=46. 46x30=1380