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?​

Answers

Answer 1

Answer:

2000

Step-by-step explanation:

5*50=250 mg

250*4=1000 mg

1000*500=500 m

4*500=2000

Answer 2

It would take 2,000 ants to hoist a 500-gram bag of sugar.

What is proportionality?

the property of having suitable proportions in terms of size, number, degree, harshness, etc.: If a defensive action against an unfair attack results in the destruction that contravenes the proportionality criterion, it may even go far beyond a justifiable defense.

Given, most ants can lift 50 times their own weight.

also given every ant has 5 mg weight.

So, 1 ant can lift = 5mg * 50 = 250mg

Since 1 gram has 1000 mg

Ant can lift = 1/4 grams

thus,

1/4 gram of sugar can be lifted by = 1 ant

1 gram of sugar can be lifted by = 4 ant

500 grams of sugar can be lifted by = 4 * 500 ant = 2000 ants

Therefore, 2000 ants would it take to lift a 500-gram bag of sugar.

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Related Questions

- You invest $1,000 in a stock market index fund that earns 8% compounded annually overa
10-year period (a simplified example since stock market returns vary year to year). How
much would your investment be worth after this 10-year period?
A. $1,080
B. $1,800
C. $2,000
D. More than $2,000

Answers

Answer:

I believe c

Step-by-step explanation:

I believe this because if you invest in stock for ten years as on this paragraph the answer is C

Option D is correct. we worth more than $2000 after 10 year period.

What is Percentage?

percentage, a relative value indicating hundredth parts of any quantity.

Given that  You invest $1,000 in a stock market index fund that earns 8% compounded annually over a 10-year period.

We have to find the  investment be worth after this 10-year period.

A=P(1+r)ⁿ

P is the initial amount

r is rate of interest

n is the time

A=1000(1+0.08)¹⁰

A=1000(1.08)¹⁰

A=1000×2.1589

A=2158.9

Hence, option D is correct. we worth more than $2000 after 10 year period.

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find m ABC (2x) (5x+5)

Answers

Answer:

=130

Step-by-step explanation:

(2x) (5x+5) = 180

7x + 5 = 180

7x = 175

x = 25

5(25) + 5 = 125 + 5 = 130

Hope this helps (:

which equation choice could represent the graph shown below?

Answers

Answer:

The answer is...

f(x)=(x-3)+(x+3)

I think this is the answer. I haven't done this kind of math in a while so...

The chosen equation, (x +3)(x + 3) = 0, will serve as a representation of the provided graph.

What is a Quadratic equation?

ax²+bx+c=0, with a not, equals 0 is a quadratic equation, which is a second-order polynomial equation in a single variable. It has at least one solution because it is a second-order polynomial equation, which is guaranteed by the algebraic fundamental theorem. The answer could be simple or complicated.

given a Graph of a quadratic equation.

Contrarily, parabolas are used to graph quadratic equations. In other words, the data will be displayed as either an "open" or "upside-down" U-shaped curve. The graph is always quadratic if you are drawing a graph from a function and the equation involves x².

in this graph, we can observe that graph has only one root at x = -3

therefore the equation of the Given parabola is

(x + 3)² = 0

or

(x +3)(x + 3) = 0

therefore, the equation choice could represent the graph given will be (x +3)(x + 3) = 0.

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9. Determine whether KM and ST are parallel, perpendicular, or neither. K(-1, -8), M(1,6), S(-2,-6), T(2, 10) A Parallel B Perpendicular C Neither​ Hint(use slope formula)

Answers

Neither: the slope for KM=7, and the slope for ST= 1

I need help with this question

Answers

Answer:

b

Step-by-step explanation:

If a person walks 1/3 of a mile every 1/6 of an hour, what is their speed in miles per hour?

Answers

Answer:

2 mi per hour

Step-by-step explanation:

1/3*6=

6/3= 2

2 mi per hour

Answer:

2mph

Step-by-step explanation:

If a person walks 1/3 of a mile every 1/6 of an hour you divide to solve.

[tex]\frac{\frac{1}{3}}{\frac{1}{6}}[/tex] To solve you flip the bottom and multiply:

[tex]\frac{1}{3} *\frac{6}{1}[/tex] = [tex]\frac{6}{3} = 2[/tex]

The person is walking 2mph

Need help ASAP with my math

Answers

U need a calculator for that lol

Answer:  The answer is -2

Step-by-step explanation: I want points and trust me this answer is correct

f(x) = x + 7, g(x) = x - 7
(a) (f + g)(x) =
(b) (f-g)(x)=
(c) (fg)(x)=
(d) (f/g)(x)=

Answers

a) 2x

b) 14

c) x^2 -49

d) -1

(-8) X 2/3 i NEED the answer help me

Answers

-5.33333333333

I used a calulator can I get brainliest please

Can someone explain the snake method, I don't understand how to do it

Answers

Answer:

x ∈ [−2; 1] ∪ 3.5

Step-by-step explanation:

Given

Inequality: (x-1)(x+2)(2x-7)≤0

Solution:

If we solve the corresponding equation (x-1)(x+2)(2x-7)²= 0, we get roots

x =  -2, 1, 3.5

We need to consider the following 4 intervals:

(−∞; −2), [−2; 1], (1; 3.5), (3.5; ∞)

1st interval (−∞; −2)

The expression (x-1)(x+2)(2x-7)² is positive as two of the multiples are negative and one is always positive (square number), and therefore  does not satisfy the inequality.

2nd interval  [−2; 1]

The expression is negative as only one of the multiples is negative, and therefore the interval (−1; 2) satisfies the inequality.

3rd interval (1; 3.5)

The expression is positive as all the multiples are positive. Therefore, the interval (1; 3.5) also does not satisfy the inequality.

4th interval

The expression is positive as above, and therefore also does not satisfy the inequality.  

So, the answer to the inequality is:

x ∈ [−2; 1] ∪ 3.5

Evaluate 8 ÷ -2 · 4²+9. Thanks! Will give brainiest if possible

Answers

the answer is -55 , because you have to simply the 14^2 to 16
For more anwsers for questions like these use math away love even thought the ads might be irritating it’s a great source ✨

Plz do fast I need it for a test The front view of a tent is.shown below if a zipper.is going to be put in along the length x how long should the.zipper be

Answers

Answer:

x=15ft

Step-by-step explanation:

a^2+b^2=c^2

8^2+b^2=17^2

b^2+64=289

b^2=225

b=15

The correct Standard Form of the equation y=−2/7x−11/7

Answers

Answer:

y=-(2)/(7)x-5

Step-by-step explanation:

|-9×+7|+8 is less than or equal to 9​

Answers

Answer:

I don’t think it’s neither less than it equal

Step-by-step explanation:

I could be wrong don’t listen to me :)

The toco toucan, the largest member of the toucan family, possesses the largest beak relative to body size of all birds. This exaggerated feature has received various interpretations, such as being a refined adaptation for feeding. However, the large surface area may also be an important mechanism for radiating heat (and hence cooling the bird) as outdoor temperature increases. Here are data for beak heat loss, as a percent of total body heat loss, at various temperatures in degrees Celsius:

Temperature (degrees Celsius) 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30
Percent heat loss from beak 35 36 38 28 41 43 55 46 39 54 45 58 60 56 62 67
a. The equation of the least-squares regression line for predicting beak heat loss, as a percent of total body heat loss from all sources, from temperature is: _____ (Use decimal notation. Give your answer to four decimal places.)

b. Use the equation to predict (
±
0.01) beak heat loss, as a percent of total body heat loss from all sources, at a temperature of 25 degrees Celsius.

c. What percent (
±
0.01) of the variation in beak heat loss is explained by the straight-line relationship with temperature?

d. Find the correlation r (
±
0.001) between beak heat loss and temperature.

Answers

Answer:

Kindly check explanation

Step-by-step explanation:

Given the data:

Temperature (degrees Celsius) : 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30

Percent heat loss from beak : 35 36 38 28 41 43 55 46 39 54 45 58 60 56 62 67

Using an online regression calculator ; the regression equation obtained is :

ŷ = 2.0927X + 0.6029

X = independent variable

Y = predicted variable

2.0927 = slope

0.6029 = intercept

B.) temperature = 25

ŷ = 2.0927(25) + 0.6029

= 52.9204

C.) the explained variance is the value of the coefficient of determination (R²) which is the square of the correlation Coefficient

0.8785² = 0.7718

D.) the correlation Coefficient r is 0.8785 using the Coefficient of regression calculator

) A watershed experiences a rainfall of 8 inches. What is the runoff volume when the curve number is 80

Answers

Answer:

5.625 inches

Step-by-step explanation:

Given that:

Total Rainfall in inches (P) = 8 inches

The runoff volume (in inches) Q = ???

The curve number CN = 80

Recall that: The runoff volume can be calculated by using the formula:

[tex]Q = \dfrac{(P-0.2S)^2}{(P+0.8S)}[/tex]    for P > 0.2S

Q = 0                     for P < 0.2S

[tex]S = \dfrac{1000}{CN}-10[/tex]

where:

curve number CN = 80

[tex]S = \dfrac{1000}{80}-10[/tex]

S = 2.5 inches

Since the rainfall (P) is greater than 0.25

Then:

[tex]Q = \dfrac{(P-0.2S)^2}{(P+0.8S)}[/tex]  

[tex]Q = \dfrac{(8-0.2(2.5))^2}{(8+0.8(2.5))}[/tex]

[tex]Q = \dfrac{(8-0.5)^2}{(8+2)}[/tex]

[tex]Q = \dfrac{(7.5)^2}{(10)}[/tex]

[tex]Q = \dfrac{(56.25)}{(10)}[/tex]

Q = 5.625 inches

Thus, the runoff volume = 5.625 inches

3.89×10^9 in standard form​

Answers

Answer:

3890000000

Step-by-step explanation:

Angle 9 and angle 8 are what kind of angles? *
2
8/1
6/5
11/12
Alternate Interior Angles
Same Side Interior Angles
Corresponding Angles
Alternate Exterior Angles
What is the value of x.

Answers

Answer:

Angle 9 and Angle 8 they are the same

Step-by-step explanation:

Answer:

1,2,5

Step-by-step explanation:

3- ¿Cuál es la probabilidad de que al escoger un número positivo de dos cifras, este sea
primo y termine en 3?
O a) 1/15
b) 2/90
c) 6/91
d) 9/90

Answers

Answer:

6 primos de dos cifras(casos favorables) / 90 numeros de dos cifras(casos posibles) = 1/15

Step-by-step explanation:

Usando el concepto de probabilidad, se encuentra que hay una probabilidad de [tex]\frac{1}{15}[/tex], opcion A, de que al escoger un número positivo de dos cifras, este sea  primo y termine en 3.

------------------------------

Una probabilidad es dada por la división de el número de resultados deseados por el número de resultados totales. Hay 90 números positivos de dos cifras.13, 23, 43, 53, 73, 83 son primos y terminan en 3, o sea, el número de resultados deseados es 6.

Entonces:

[tex]p = \frac{6}{90} = \frac{1}{15}[/tex]

Probabilidad de [tex]\frac{1}{15}[/tex], opcion A, de que al escoger un número positivo de dos cifras, este sea  primo y termine en 3.

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HELP MEEEE

Solve 1.43p + 2.2 = -4.001. Round your answer to the nearest hundredth. Show your work.

Answers

Answer:

p = -4.33636363636

Step-by-step explanation:

subtract 2.2 from -4.001 which equals -4.001-2.2=-6.201 and divide -6.201 by 1.43p and that equals -4.33636363636 so p = -4.33636363636

Megan had $235.17 in her bank account. She withdrew $77.98 from the account to spend
on clothing. How much money does she have left in her bank account now?

Answers

Answer: 157.19

Step-by-step explanation:

157.19 that would be the answer

please help ! i would mark brainliest to the first answer.

Answers

x^2 = 4 py

where p<0

Step-by-step explanation:

I think this is it but I am not sure

if a person ran 1/2 of a mile in 1/10 of an hour. How far will the person run in one (1) hour?

Answers

Step-by-step explanation:

In 1/10 of 1hr = 1/2 mile

10*(1/10) of 1hr = 10(1/2) mile

(10/10) of 1hr = (10/2) mile

1 of 1hr = 5mile

It says, he can run 5 miles in 1 hour

ir
Coffee costs $9 per pound. How much does 600 pounds of coffee cost?

Answers

Answer:

11.400 dollars... is the answer

Answer:

$5400

Step-by-step explanation:

9 x 600 = 5400

Aging workers of the Neotropical termite, Neocapritermes taracua, develop blue crystal containing glands ("backpacks") on their backs, When they fight intruding termites and are hampered, these "blue" termites explode, and the glands spew a sticky liquid (Sobotnik et al. 2012). The following data are from an experiment that measured the toxicity of the blue substance. A single drop of the liquid extracted from blue termites was placed on individuals of a second termite species, Labiotermes labralis, and the number that were immobilized (dead or paralyzed) within 60 minutes was recorded. The frequency of this outcome was compared with a control treatment in which liquid from glands of "white" termites lacking the blue crystals was dropped instead.
Is the blue liquid toxic compared to liquid from white termites?
Liquid source Unharmed Immobilized
Blue workers 3 37
White workers 31 9

Answers

Answer:

Yes blue liquid is toxic

Step-by-step explanation:

H0: p1 = p2

H1: p1>p2

For blue

We calculate proportion as

37/40 = 0.925

For white

9/40 = 0.2250

To get p

(X1 + x2)/(n1 + n2)

= 0.5750

After calculating the z as statistic (please check attachment) I got 6.33

P value = 0.0000

We reject null hypothesis and say in conclusion that enough evidence exists for us to say blu liquid is toxic!

Thank you!

бx + 8 = 50
I need that answer

Answers

Answer:

=

7

Step-by-step explanation:

Three high school participated in a study to evaluate the effectiveness of a new computer-based mathematics curriculum. Four 24-student sections of freshman algebra were available for the study. The two types of instruction (standard curriculum, computer-based curriculum) were randomly assigned to the four sections in each of the three schools. At the end of the term, a standard mathematics achievement test was given to each of the 24 students in each section.
a. Is this study experimental, observational, or mixed experimental and observational? Why?
b. Identify important factors, factor levels, and/or factor-level combinations.
c. Classify these factors as within- or between-subjects
d. what’s the dependent measures?
e. What is the basic experiment unit of study?

Answers

Answer:

Given that;

There are three high schools, each having four sections of every 24 students

the 2 types of instructions are Standard curriculum  & computer based curriculum

a)

this study is experimental

this is because the study did not just observe the student's performance but randomly assign the performance to different techniques that have some certain control over the technique of teaching and then observe their performance afterwards

b)

-important  factors are; high schools, instruction type and scores

- Highschool has 2 levels: level one there are three high schools,  level 2 each having four sections of every 24 students

-instruction type: has one level which is  divided into two namely; standard base and computer based

Scores: doesn't have levels

c)

there are 3 schools and 4 sections  so the factor high school has between subjects components

factor instruction type also has between subjects because there are two different types available

there are 24 students in each section which are within subjects

d)

the score on the test  is the dependent measures

e)

“STUDENT” in each section is he basic experiment unit of study

An​ avant-garde clothing manufacturer runs a series of​ high-profile, risque ads on a billboard on Highway 101 and regularly collects protest calls from people who are offended by them. The company has no idea how many people in total see the​ ad, but it has been collecting statistics on the number of phone calls from irate​ viewers:

Answers

Answer and Step-by-step explanation:

Please find attached

HURRY PLEASE HELP

What is the approximate distance from the origin to the point (−10, −4, 5)? Round to the nearest tenth. 4.4 units 10.4 units 11.9 units 19.0 units

Answers

The answer is 11.9 units

First you must set up the distance formula.

[tex]\sqrt[]{ (-10-0)^2+(-4-0)^2+(5-0)^2}[/tex]

Then, simplify like terms.

[tex]\sqrt{(-10)^2+(-4)^2+(5)^2}[/tex]

Next, simplify exponents.

[tex]\sqrt{100+16+25}[/tex]

Then, add like terms.

[tex]\sqrt{141}[/tex]

Finally, round to the nearest tenth.

11.9

There are two squares.
The larger square has an area of 1,089 square feet and the smaller square has an area of 121 square inches.
What is the scale factor between the two squares?
(A) 3
B
6
12
D 36

Answers

Answer:

It is 3

Step-by-step explanation:

Answer:

It is 3

Step-by-step explanation:

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Seikos current salary is $85,000. Her marginal tax rate is 32 percent and she fancies European sports cars. She purchases a new auto each year. Seiko is currently a manager for an Idaho Office Supply. Her friend, knowing of her interest in sports cars, tells her about a manager position at the local BMW and Porsche dealer. The new position pays only $75,000 per year, but it allows employees to purchase one new car per year at a discount of $15,000. This discount qualifies as a nontaxable fringe benefit. In an effort to keep Seiko as an employee, Idaho Office Supply offers her a $10,000 raise. Answer the following questions about this analysis. Problem 12-41 Part a a. Assuming it has a 21 percent marginal tax rate, what is the annual after-tax cost to Idaho Office Supply to provide Seiko with the $10,000 increase in salary? Which early president am I?I was one of the founders of the Republican Party and believed that the common people could be a contributing part of the government. I was elected president at a very intense, crucial point in our nation's history. The struggles between France and Great Britain had begun to affect America's decision to remain neutral in foreign affairs. The British began seizing our ships, and I was forced to cut off trade with them. The British refused to negotiate in time, and I had to declare the War of 1812.James MonroeAndrew JacksonThomas JeffersonJohn AdamsGeorge WashingtonJames Madison Two thirds of 148 seventhgraders buy their lunch atschool. How many studentsis this? Can you help me identify where I went wrong? I'm having trouble understanding this concept and I need to in order to understand what I will be learning next, thank you! In which box could gas be placed? *C. W is not the answer How did prehistoric people use available natural resources for food, housing, and clothing? A man basic wage for a 40-hour weekly is $160.00. He is paid $5.00 per hour for overtime . If he works 6 1/2 hours over time in a certain week his wage for that week is Look at pic.... 2 examples of radiation and how they are radiation This informational reference usually provides information covering one calendar year.A. AtlasC. Encyclopediab. Dictionaryd. None of these What made it possible for southern planters to boost their profits in the early 1800s?A Workers planted less cotton and more rice and sugar cane.B Planters started growing different varieties of cotton.C Planters move North to fertile new lands.D Workers cleaned more cotton in the same amount of time with the cotton gin. In American football, the ball is punted by dropping and kicking it before it hits the ground. The height ht of the football above the ground in meters t seconds after being punted is affected by gravity and by the punter's kick, and can be represented as the difference of two functions: at=4.9t2, which specifies the effect of gravity on the height of the ball, and vt=13.7t+0.5, which specifies the effect of the punt on the ball. With these two functions, ht=vt-at, how high above the ground was the ball when it was punted? You are making a scale drawing with a scale of 2 in. = 17 ft. Explain how you find the length of the drawing of an object that has an actual length of 51 ft. which of the following describes a custom A. doing your homeworkC. not litteringB. shaking hands when you greet someoneD. studying geography Which element contains one set of paired and three unpaired electrons in its fourth and outer main energy level? Camille, as-tu fait les tches mnagres hier ?Oui je les ai fait.Oui, je les ai faits.Oui, je les ai faites. A dull metal object has a density of 8.8 G/ML and a volume of 20 ML calculate the mass Who helped Heran Cortes and his soldiers defeat Aztec write one sentence using both words in the pair.Taiga, swamp Please help look at the screenshot Around the world, gender is the primary division between people. Is this statementtrue or false?