4log10 2 − log10 48 + log10 300

Answer:

x ≥ 54

Step-by-step explanation:

x+x-4 ≥ 104

2x ≥ 104 + 4

2x ≥ 108

x ≥ 54

Answer:

there was a decrease of 2.25%

Step-by-step explanation:

Let me illustrate with an example

Assume the population is 100

percentage increase = 100 + 15 = 115% = 1.15%

Population after 15% increase = 100 x 1.15 = 115

Percentage decrease = 100 - 15 = 85% = 0.85

Population after 15% decreases 115 x 0.85 = 97.75

rate of increase = (97.75 / 100) - 1 = -2.25%

Answer:

A

Step-by-step explanation:

Given the 2 equations

2x + y = - 5 → (1)

- x + 3y = 6 → (2)

Multiplying (2) by 2 and adding to (1) will eliminate the x- term

- 2x + 6y = 12 → (3)

Add (1) and (3) term by term to eliminate x

0 + 7y = 7

7y = 7 ( divide both sides by 7 )

y = 1

Substitute y = 1 into either of the 2 equations and solve for x

Substituting into (1)

2x + 1 = - 5 ( subtract 1 from both sides )

2x = - 6 ( divide both sides by 2 )

x = - 3

solution is (- 3, 1 ) → A

Answer:

sqrt(2)

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

sin theta = opp / hyp

sin 45 = x/2

2 sin 45 =x

2 (sqrt(2)/2) =x

sqrt(2) =x

Answer:

0 to 10

What is the constant of luck as shown in the graph

it is 3.75 lbs my shlime                                                                                                            

Answer:

the answer is 3.75 pounds

it says one pound is 16 ounces

so divide the ounces with pound

60/16

then we get 3.75 pounds

Basically count/add up the total amount of degrees that are include in the angle <FHD.

-- (central angles)

So, 35 + 65 = 100 degrees

Answer:  Choice A) at most 2.5 ft wide

Work Shown:

16w ≤ 40

w ≤ 40/16

w ≤ 2.5

This says that the banner must be at most 2.5 ft wide (choice A)

In other words, the largest the width can get is w = 2.5; we can think of this as the ceiling value.

Answer: its a

Step-by-step explanation:

brainly stop taking my answer down pls

I'm guessing the power series given is

[tex]\displaystyle \sum_{n=1}^\infty (-1)^{n+1}\frac{(x-8)^n}{8^n}[/tex]

which you can condense somewhat into

[tex]\displaystyle -\sum_{n=1}^\infty \left(\frac{8-x}8\right)^n[/tex]

You should recognize this as a geometric series, which converges for

[tex]\left|\dfrac{8-x}8\right|<1 \implies |8-x|<8 \implies \boxed{0 < x < 16}[/tex]

Answer:

525 pound of onions were recieved

Step-by-step explanation:

1 bag of potatoes: 30 pounds

total pounds of potatoes and onions received= 1800

let the total pounds of onions received be x,

25 bags of potatoes = 25 × 30= 750 pounds

now according to the question,

x + x + 750= 1800

2x = 1800 - 750

x= 1050 ÷ 2

x= 525

Note: plz correct me if I am wrong somewhere

The restaurant receives 150 pounds of onions.

Let's assume the number of bags of onions is "x". According to the problem, there are 25 more bags of potatoes than bags of onions, which means the number of bags of potatoes is "x + 25".

The weight of each bag of potatoes is 30 pounds, so the total weight of potatoes is 30(x + 25) pounds.

The weight of each bag of onions is 5 pounds, so the total weight of onions is 5x pounds.

According to the problem, the restaurant receives 1,800 pounds of potatoes and onions in total. We can set up the following equation based on this information:

30(x + 25) + 5x = 1800

Simplifying the equation:

30x + 750 + 5x = 1800

35x + 750 = 1800

35x = 1800 - 750

35x = 1050

Dividing both sides by 35:

x = 1050 / 35

x = 30

Therefore, the restaurant receives 30 bags of onions.

To find the weight of onions, we can substitute the value of x into the expression for the weight of onions:

Weight of onions = 5x = 5 * 30 = 150 pounds

Therefore, the restaurant receives 150 pounds of onions.

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Answer:

See explanation

Step-by-step explanation:

Maximum weight = 20 kg

Bag 1 = 3.5kg

Bag 2 = 15 kg

Bag 3 = 2kg

Bag 4 = 1.5kg

Total weight of bags = 22 kg

Excess weight of his luggage = Total weight of bags - Maximum weight

= 22 kg - 20 kg

= 2 kg

Express the excess weight as a percentage of his maximum weight allowed = excess weight / maximum weight × 100

= 2/20 × 100

= 0.1 × 100

= 10%

Express the excess weight as a percentage of his maximum weight allowed = 10%

Answer:

Step-by-step explanation:

if you connect the 2 pointy parts of this shape at the top, what you have is a square. That means that the cut out part is a half circle. To find the area of the shaded portion, subtract the area of the half circle from the area of the square. Let's start with the square, cuz that's the super easy one.

A = s*s so

A = 64 in squared.

Now for the half circle. Let's just do this: let's find the area of the whole circle and then cut it in half, how about?

If the length of one of the sides is 8, then half that length is 4, right? Since the circle is touching the sides of the square, the diameter of the circle is the same as the measure of the side of the square. That means that the radius is 4. The area for the circle is

[tex]A=\pi r^2[/tex] and filling in:

[tex]A=(3.14)(4^2)[/tex] so

A = 50.24 in squared. Divide that in half and the area of half the circle is 25.12 in squared.

Subtract 25.12 from 64 to get 38.88 in squared

Answer:

a₁₉ = 99

Step-by-step explanation:

The nth term of an arithmetic sequence is

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 9 and d = 5 , then

a₁₉ = 9 + (18 × 5) = 9 + 90 = 99

The nineteenth term of arithmetic c sequence with first term 9 and common difference 5 is 99.

The difference between every two successive terms in a sequence is the same this is known as an arithmetic progression (AP).

The arithmetic progression has wider use in mathematics for example sum of natural numbers.

Natural number = 1,2,3,4,5,6,7,8...

Now it has the same difference between any two consecutive terms d =2-1 = 3-2

Given an AP series

First term(a) = 9

Common difference (d) = 5

The nth term is given by

⇒ a + (n - 1)d

So,

19th term = 9 + (19-1)5

⇒ 99

Hence "The nineteenth term of arithmetic c sequence with first term 9 and common difference 5 is 99".

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Answer:

You need to use sohcahtoa

C.

cos(45)=x/[tex]8\sqrt{2}[/tex]

x=8

A.

x= 8 its an isosceles so c=a

B.

sin(30)=8/x

x= 16

D.

cos(30)=x/16

x=8[tex]\sqrt{3}[/tex]

Given:

The mass function is:

[tex]m(v)=4.5v[/tex]

where v is the volume in cubic centimeters.

The force function is:

[tex]F(m)=800m[/tex]

To find:

The composite function can be used to find the force of the object based on its volume.

Solution:

The composite function can be used to find the force of the object based on its volume is:

[tex]F(m(v))=F(4.5v)[/tex]              [tex][\because m(v)=4.5v][/tex]

[tex]F(m(v))=800(4.5v)[/tex]              [tex][\because F(m)=800m][/tex]

[tex]F(m(v))=3600v[/tex]

Therefore, the correct option is D.

Answer: F(m(v)) = 3,600v

Step-by-step explanation:DDDD

Answer is 1st and 3rd shape

Whose area is 4 units

Answered by Gauthmath must click thanks and mark brainliest

Answer:

11+11= 22 answer is $ 22.03

Answer:

A ball is thrown straight up from a rooftop 320 feet high. The formula below describes the ball's height above the ground, h, in feet, t seconds after it was thrown. The ball misses the rooftop on its way down and eventually strikes the ground. How long will it take for the ball to hit the ground? Use this information to provide tick marks with appropriate numbers along the horizontal axis in the figure shown.

Hi there!

Looking at the graph, the first intersection point is clear. The red parabola and  blue line clearing intersect at the point (0, -1).

Find the second intersection point by setting the equations of both graphs equal to each other.

Line: y = 3x - 1

Parabola: y = 4x² - 1

Find another intersection point by setting these two equations equal to each other:

4x² - 1 = 3x - 1

Bring all terms onto one side:

4x² - 3x = 0

Factor out x:

x(4x - 3) = 0

Set 4x - 3 to 0 and solve:

4x - 3 = 0

4x = 3

x = 3/4

Plug in this value of x into an equation to solve for the y-coordinate. Use the linear equation for ease:

y = 3(3/4) - 1

y = 9/4 - 1

y = 5/4

(3/4, 5/4)

Step-by-step explanation:

Side-Angle-Side is a rule used to prove whether a given set of triangles are congruent. The SAS rule states that: If two sides and the included angle of one triangle are equal to two sides and included angle of another triangle, then the triangles are congruent.

Answer:

Step-by-step explanation:

1kg=1000

Answer:

Step-by-step explanation:

So first we need to find out what y% of 22 would be,

y% * 22

0.001y*22

= 0.22y

0.22y is equaled to y% of 22. Now we have to subtract 22 by the y%.

Therefore,

22-y%*22

which is:

22-0.22y!

Cheers! I hope you understand the problem now.

Answer:

10 hours

Step-by-step explanation:

45 pages per 1 hour and 30 minutes,  or 60 min +30 min =90 min

90 minutes / 45 pages has to be equal to an equivalent fraction where we have 300 pages

90 minutes /45 pages = ? minutes / 300 pages , multiply both sides by 300

? minutes = 90*300/45 = 600 minutes

to read 300-page book will take 600 minutes = 10 hours

============================================================

Explanation:

We'll use the distance formula here. Rather than compute the distance d based on two points given, we'll go in reverse to use the given distance d to find what the coordinate must be to satisfy the conditions.

We're given that d = 5

The first point is [tex](x_1,y_1) = (5,2)[/tex] and the second point has coordinates of [tex](x_2,y_2) = (x,5)[/tex] where x is some real number.

We'll plug all this into the distance formula and solve for x.

[tex]d = \sqrt{(x_1-x_2)^2+(y_1-y_2)^2}\\\\5 = \sqrt{(5-x)^2+(2-5)^2}\\\\5 = \sqrt{(5-x)^2+(-3)^2}\\\\5 = \sqrt{(5-x)^2+9}\\\\\sqrt{(5-x)^2+9} = 5\\\\(5-x)^2+9 = 5^2\\\\(5-x)^2+9 = 25\\\\(5-x)^2 = 25-9\\\\(5-x)^2 = 16\\\\5-x = \pm\sqrt{16}\\\\5-x = 4 \ \text{ or } \ 5-x = -4\\\\-x = 4-5 \ \text{ or } \ -x = -4-5\\\\-x = -1 \ \text{ or } \ -x = -9\\\\x = 1 \ \text{ or } \ x = 9\\\\[/tex]

This means that if we had these three points

Then segments AB and AC are each 5 units long.

Answer: 3

Step-by-step explanation:

The check mark with the line is a sauare root symbol. It means find the square root of the number next to it. The square root of something is a number times the same number to get the number. For example, the square root of 16 is 4 because 4x4 is 16. 3x3 is 9 so that’s the square root.

Answer:

B

Step-by-step explanation:

Volume = Volume of cylinder + Volume of semi sphere

= pi*r^2*h+(2/3)*pi*r^3

=pi*(4*12+16/3)=pi*53.3