most ants can lift 50 times their own weight. If an ant weighs 5 milligrams, how many ants would it take to lift a 500 gram bag of sugar?​

Answer:

The Answer is 2955.

Step-by-step explanation:

First convert 2 km to meters. 1 km = 1,000 meters. So, 2 km = 2x1,000. Dexter walked 955 meters. We can add to find out how far he traveled all together. 2,000+955=2,955 meters. Dexter traveled a total of 2,955 meters to fishing.

Answer:

2955

Step-by-step explanation:

Answer:

Properties of a normal distribution

The mean, mode and median are all equal.

The curve is symmetric at the center (i.e. around the mean, μ).

Exactly half of the values are to the left of center and exactly half the values are to the right.

The total area under the curve is 1.

Step-by-step explanation:

The solution is , given below.

A normal distribution is a type of continuous probability distribution in which most data points cluster toward the middle of the range, while the rest taper off symmetrically toward either extreme. The middle of the range is also known as the mean of the distribution.

here, we have,

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Answer:

258

Step-by-step explanation:

mark brainlest

Answer:

You will need to send 150 texts for them to be the same price

Step-by-step explanation:

A = .15x+90

B=.35x+60

.15x+90=.35x+60

      -60            -60

.15x+30=.35x

-.15x       -.15x

30=.2x

x=150

Answer:

I’m guessing number 3

Step-by-step explanation:

Answer:8

Step-by-step explanation:

Answer:

x = 3 ±sqrt(6)

Step-by-step explanation:

6(x-3)^2-26 = 10

Add 26 to each side

6(x-3)^2-26+26 = 10+26

6(x-3)^2 = 36

Divide by 6

6/6(x-3)^2 = 36/6

(x-3)^2 = 6

Take the square root of each side

sqrt((x-3)^2) = ±sqrt(6)

x-3 =  ±sqrt(6)

Add 3 to each side

x-3+3 =3 ±sqrt(6)

x = 3 ±sqrt(6)

Answer:

Step-by-step explanation:

you pick your topic

the what is what is your topic

where does your topic take place

who is in your topic or who is it talking about

why did you choose this topic

Answer:

x=12

Step-by-step explanation:

5x-2 = 58

5x = 60

x = 12

so we know that the size of the triangle is decreasing witch means that the scale factor is going to be a fraction. to find this fraction you are going to divide the smaller side by the corisponding longer side.

12/72= 1/6

the correct answer is c 1/6

The scale factor of triangles ABC and DEF is 6.

Option A is the correct answer.

A scale factor is defined as the ratio between the scale of a given original object and a new object,

We have,

From the triangles,

The ratio of the corresponding sides of the two triangles must be equal.

The value of the ratio is the scale factor.

So,

AB/DE = BC/EF = AC/DF

This can be written as,

72/12 = 66/11 = 42/7

6 = 6 = 6

Thus,

The scale factor of triangles ABC and DEF is 6.

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When you add, you subtract the exponents. When you divide, you subtract the exponents.

When you have multiplication and division in one expression, you do it from left to right.

7^2 times 7^5 = 7^ (2+5) = 7^7

7^7 times 2^2 / 7^3 = 7 ^(7 - 3) times 2^2

7^4 times 2^2 times 2^6 = 7^4 times 2^(2+6) = 7^4 times 2^8

Put it in a calculator.

614656.

That is the answer, but you didn't include the "which of the following", so I guess you'll have to put each value in the calculator to find out!

If the 7^3 times 2^6 is in parenthesis, then the answer is 150.0625.

Answer:

12.1 m tall

Step-by-step explanation:

First you take 121 and divide it by 10 then you take the end number and add a m

Answer:

m = (y2 -- y1) / (x2 -- x1)

Step-by-step explanation:

Answer:

A translation, yes.....ok! the answer is below! ;)

In my explanation:

A translation is a type of transformation, it is when there is a plane and an object slides from one place to another without changing it's size, shape, or rotation.

Web explanation:

In Euclidean geometry, a translation is a geometric transformation that moves every point of a figure or a space by the same distance in a given direction. A translation can also be interpreted as the addition of a constant vector to every point, or as shifting the origin of the coordinate system.

Look at the image below, there is a figure, called the pre-image, and then when it slides the new image is called the image.

Hope this helps!

Have a nice day!

If you find my answers helpful

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Answer:

2:3

Step-by-step explanation:

2 is the greatest common factor, so divide both 4 and 6 by 2, which should result as 2:3.

hope this helps :)

Answer:

ΔP  = 14

Step-by-step explanation:

Given

[tex]C(x) = 200 + 2x[/tex]

[tex]R(x) = 20x - \frac{x^2}{50}[/tex]

Required

Determine the change in profit

First, we need to determine the profit

[tex]P(x) = R(x) - C(x)[/tex]

[tex]P(x) = 20x - \frac{x^2}{50} - 200 - 2x[/tex]

Collect Like Terms

[tex]P(x) = - \frac{x^2}{50} + 20x - 2x- 200[/tex]

[tex]P(x) = - \frac{x^2}{50} + 18x- 200[/tex]

Differentiate wrt x

[tex]P'(x) = -\frac{x}{25} + 18[/tex]

When Profit increases from 100 to 101, the change becomes

ΔP  [tex]= -\frac{x}{25} + 18[/tex]Δx

Δx[tex]= (x_2 - x_1)[/tex]

Where

[tex]x_2 = 101[/tex]

[tex]x_1 = x = 100[/tex]

So, the expression: ΔP  [tex]= -\frac{x}{25} + 18[/tex]Δx becomes

ΔP  [tex]= (-\frac{x}{25} + 18)(x_2 - x_1)[/tex]

ΔP  [tex]= (-\frac{100}{25} + 18)(101 - 100)[/tex]

ΔP  [tex]= (-4+ 18)(1)[/tex]

ΔP  [tex]= (14)(1)[/tex]

ΔP  = 14

Answer:

153.158 ; 177.642

Step-by-step explanation:

Given the following:

Sample mean (m) = 165.40

Sample standard deviation (s) = 21.70

Sample size (n) = 17

α = 98%

Confidence interval = m ± z(SE)

z at 98% = 2.326

SE = s/√n

SE = 21.70/√17 = 5.2630230

Hence,

Confidence interval = 165.40 ± 2.326(5.2630230)

165.40 - 12.241791498 OR 165.40 + 12.241791498

153.158 ; 177.642

Answer:

Its C

Explanation

c. The atomic number and atomic mass increase from left to right across a period; energy levels

increase from top to bottom down a group.

Answer:

A sphere with a radius of 6 cm will have a surface area of about 452.39

Step-by-step explanation:

Answer: 452.39 cm^2.

SA = 4πr^2 = 4π(6)^2 ≅ 452.39 cm^2.

∴ the surface area of the sphere is around 452.39 cm^2.

Answer:

a) 9 beats

b) 9 beats per minute

c) y=9x

d) 180 times

Answer:

The correct option is (c).

Step-by-step explanation:

The height of a diver abov the water is given by :

[tex]h(t) = -5t^2 + 10t + 3[/tex] ....(1)

Where h(t) is in meters and t is in seconds

Put t = 1 s, in equation (1) we get :

[tex]h(1) = -5(1)^2 + 10(1) + 3\\\\=8\ \text{feet}[/tex]

Put t = 5 s, in equation (1) we get :

[tex]h(1) = -5(5)^2 + 10(5) + 3\\\\=-72\ \text{feet}[/tex]

Out of the given options, "after 1 second, the diver will be 8 feet above  the water is (c)". Hence, the correct option is (c).

Answer:

See Explanation

Step-by-step explanation:

Given

[tex]f(x) = 6[/tex]

Required

Solve for x

The question is incomplete as the function f(x) is not given.

However, the following explanation will guide you

As a point of reference, we assume that f(x) is:

[tex]f(x) = 2x + 4[/tex]

To solve further, we substitute 6 for f(x)

[tex]6 = 2x + 4[/tex]

Then, we solve for x

[tex]2x = 6 - 4[/tex]

[tex]2x = 2[/tex]

Divide through by 2

[tex]x = 1[/tex]

So, in your case.

All you need to do is substitute 6 for f(x) then solve for x

Answer:

Step-by-step explanation:

2+5x+53=180

55+5x=180

5x=125

x=25

hope this helps :)

Answer:

2(3x+ 4)

I hope it helps

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The answer to the equation is [tex]x=-\frac{25}{3}[/tex]

First, you must cross multiply the fractions.

[tex]10*-\frac{5}{2} =x*3[/tex]

[tex]-25=3x[/tex]

Then, you must flip the equation.

[tex]3x=-25[/tex]

Finally, divide 3 on each side

[tex]\frac{3x}{3}=\frac{-25}{3}[/tex]

[tex]x=-\frac{25}{3}[/tex]

Answer:

in the first one, she makes $7.50 per box

Step-by-step explanation:

looking at the graph

Answer:

The range is {12, 4, -6} ⇒ D

Step-by-step explanation:

The range of the relation is the values of y corresponding to the values given for x which is the domain of the relation

∵ The relation is 12x + 6y = 24

∵ The domain of the function is {-4, 0, 5}

→ That means x = -4, 0, 5, we need to find their corresponding values of y

∴ Substitute the values of x in the relation

∵ x = -4

∴ 12(-4) + 6y = 24

∴ -48 + 6y = 24

→ Add 48 to both sides

∴ -48 + 48 + 6y = 24 + 48

∴ 6y = 72

→ Divide both sides by 6 to find y

∴ [tex]\frac{6y}{6}=\frac{72}{6}[/tex]

∴ y = 12

∵ x = 0

∴ 12(0) + 6y = 24

∴ 0 + 6y = 24

∴ 6y = 24

→ Divide both sides by 6 to find y

∴ [tex]\frac{6y}{6}=\frac{24}{6}[/tex]

∴ y = 4

∵ x = 5

∴ 12(5) + 6y = 24

∴ 60 + 6y = 24

→ Subtract 60 from both sides

∴ 60 - 60 + 6y = 24 - 60

∴ 6y = -36

→ Divide both sides by 6 to find y

∴ [tex]\frac{6y}{6}=\frac{-36}{6}[/tex]

∴ y = -6

∵ The range is the values of y which corresponding to the domain

∴ The range is {12, 4, -6}

The answer is down below have a good day!!!

Answer:

Yes

Step-by-step explanation:

600/150=4

450/150=3