Answer:
[tex]\displaystyle d = 9[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Coordinates (x, y)Algebra II
Distance Formula: [tex]\displaystyle d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]Step-by-step explanation:
Step 1: Define
Point (-3, 4)
Point (-3, -5)
Step 2: Find distance d
Simply plug in the 2 coordinates into the distance formula to find distance d
Substitute in points [Distance Formula]: [tex]\displaystyle d = \sqrt{(-3+3)^2+(-5 - 4)^2}[/tex][Distance] [√Radical] (Parenthesis) Add/Subtract: [tex]\displaystyle d = \sqrt{(0)^2+(-9)^2}[/tex][Distance] [√Radical] Evaluate exponents: [tex]\displaystyle d = \sqrt{81}[/tex][Distance] [√Radical] Evaluate: [tex]\displaystyle d = 9[/tex]You may not know this, but you are home to a colony of bacteria. You may also not know it, but the health and happiness of that colony of bacteria have a direct effect on your own health and happiness. In short, if we are what we eat, then we may need to make bacteria part of our balanced breakfast.
Microbes are single-celled organisms. They are literally everywhere. Microbes are in the air we breathe, on the surfaces of everything we touch, and inside our bodies. Microbes can be bacteria, fungi, protozoa, or viruses.
A few years ago, scientists began studying the microbial life of our stomachs. Called The American Gut project, this study aims to understand the life of the bacteria that live in our digestive system. According to an article in the New York Times by Michael Pollan, the goal is to gather information on the types and amounts of bacteria in the human gut. Scientists want to describe what a normal healthy microbe and human relationship should look like inside our digestive system. While the research is still in the very early stages, scientists have learned the following:
The strongest and healthiest microbe systems are those with a lot of variety.
The guts of Americans have much less variety than the guts of other populations.
Diets that include a lot of processed foods support less variation in bacteria.
Studying the makeup of our individual bacteria communities will help scientists get a better idea of which bacteria help human bodies. We used to think that bacteria in our bodies were invaders. This new research suggests that bacteria are part of the protective army that keeps us healthy. In fact, our bodies have a hard time recovering from medicines like antibiotics because they disrupt the balance of helpful bacteria. It seems clear from the early evidence that living with bacteria helps us resist invasion from things that make us sick.
Scientists have also learned that microbes might help our guts do things like process vitamins and important nutrients. Some microbes may help us deal with stress, or adapt to changes. Furthermore, there may come a time—in your lifetime—when illness is treated not with antibiotics, but with extra-special microbes that help us defend our bodies from illness.
Based on "A Brief Study of Guts," which best summarizes the goal of new research into bacteria and microbes?
A. To collect a wide variety of microbes in all mammals including humans
B. To find ways to increase our intake of helpful microbes
C. To find evidence to decrease the use of antibacterial soap
D. To understand how microbes populate the human body and what benefit they provide
Answer:
The Right answer is To understand how microbes populate the human body and what benefit they provide.
Step-by-step explanation:
Answer:
D.
Step-by-step explanation:
They are telling you, hey! They are helpful!
5X=(X+1)×4
send some help
Answer:
x = 4
Step-by-step explanation:
So you multiply all in the ( x + 1) by 4 so 4 times x equals 4x and 4 times 1 is 4
5x = 4x + 4 subtract 3x because that is the only common thing on the other side you'll get
x = 4 and that's your answer
Dan buys a car for £3200.
It depreciates at a rate of 5.1% per year.
How much will it be worth in 4 years?
Give your answer to the nearest penny where appropriate.
Answer:
£2509
Step-by-step explanation:
3200x0.941*4 =2509
Human capital deepening refers to increases in a country’s population, including both births and immigration.
True
False
Answer:
Based on what I researched that would be False.
Step-by-step explanation:
Human capital deepening is the increase of capital workers, it also includes skills or higher education.
PLEASE HELP!
Which figure has the smaller volume, the cone with a diameter of 7 in. and a height of 5 in. or the sphere with a diameter
of 5 in.?
A. Sphere
B. Cone
Answer:
(A) Sphere
Step-by-step explanation:
The sphere has a smaller volume.
What is the slope-intercept equation for the line below?
5
(4,3)
(0, 1)
5
O A. y=2x+1
B. y=-3x+1
O C. y=-2x+1
O D. y = 2x+1
Answer:
is there a pic you could provide?
Step-by-step explanation:
The slope-intercept equation for the line is,
⇒ y = 1/2x + 1
What is Equation of line?The equation of line in point-slope form passing through the points
(x₁ , y₁) and (x₂, y₂) with slope m is defined as;
⇒ y - y₁ = m (x - x₁)
Where, m = (y₂ - y₁) / (x₂ - x₁)
Given that;
Two points on the line are (4, 3) and (0, 1).
Now,
Since, The equation of line passes through the points (4, 3) and (0, 1).
So, We need to find the slope of the line.
Hence, Slope of the line is,
m = (y₂ - y₁) / (x₂ - x₁)
m = (1 - 3) / (0 - 4)
m = - 2 / - 4
m = 1/2
Thus, The equation of line with slope 1/2 is,
⇒ y - 3 = 1/2 (x - 4)
⇒ y - 3 = 1/2x -2
⇒ y = 1/2x + 1
Therefore, The slope-intercept equation for the line is,
⇒ y = 1/2x + 1
Learn more about the equation of line visit:
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If you earned $60 from $500 in sales , What is the percent commission?
Answer:
300
Step-by-step explanation:
Find two positive numbers such that their product is 180 and the sum of the first number squared plus twice times the second is a minimum.
Answer:
3 and 60
Step-by-step explanation:
3 × 60 = 180
180 = 180
3² + 2(60)
= 9 + 120
= 129 minimum
i need help lol with this problem pls help pls pls pls
Answer:
Step-by-step explanation:
For this triangle, since the angle is included between 2 given sides, the formula will be:
[tex]A =\frac{1}{2}ab*ac*sin(angleA)[/tex]
Putting values where they belong:
[tex]A=\frac{1}{2}(10)(12)sin72[/tex]
Do all that in your calculator (in degree mode, NOT radian!) to get
A = 57.1 square cm
25 + 12x (24 + 3) - 15 21.3
Answer:
324x-1496.3
Step-by-step explanation:
Class A had 33 students and class B had 21 students. A number of students were moved from class A to class B so the classes now have the same number of students. Write the equation and solve for how many students were moved.
Answer:
i think its 12.12 kids got moved
Step-by-step explanation:
i just subtracted 33 - 21 = 12...
Consider each statement about finding the measurements of triangles. Choose True or False for each statement.
A. If you know the measures of the three angles of a triangle, you can find the lengths of the sides.
True or False
B. If you know the lengths of the three sides of a triangle, you can find the measures of the angles.
True or False
C. If you know the measures of the two sides of a triangle and the measure of an angle not included between the two sides, you can solve the triangle. True or False
Answer:
c
Step-by-step explanation:
Measurement of triangle
Measure of 3 angles find length is true.Lengths of 3 sides for angles is true.Measures of angles not included the two sides is false.What is the measure of the triangle?The measure of the triangle is the sum of 3 interior angles of the triangle. This is always 180 degrees, as a triangle has 3 sides and 3 angles.
The measure of the three sides of the triangle can help in finding out the angles and similarly the three angles can help to find the length. If we consider two sides and then measure the angle then the triangle can't be solved.
Find out more information about the measurements of triangles.
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Porsche makes fresh batches of cookies to sell at the farmers market each weekend. Every week, she buys all the necessary ingredients and materials to start baking. The graph below shows the profit, P vs the batches of cookies sold, c which of the following statements is FALSE about the relationship graphed below ?? A. The profit Porsche will make increases as the batches of cookies sold increases. B. If Porsche does not sell any cookies, she will lose 250$. C. Porsche must sell at least 40 batches of cookies to break even. D. Porsche will make 150$ for every 20 batches of cookies sold at the farmers market.
It cost Ms. Nelson $245 to buy 5 kids tickets to Disney. How much do the tickets cost per child?
Answer:
49$
Step-by-step explanation:
245/5
1/2 e = 1/4 help I don't know what this means
Simplity to create an equivalent expression. 6(7 – 3y) + 6(y +1)
Answer:
48-12y
Step-by-step explanation:
So first you have to distribute
it would be...
42-18y+6y+6
then you put it together
48-12y
I need help pls answer
Answer:
4y²+2 = ( 4y × 4y ) + 2
Step-by-step explanation:
please mark me as brainliest answer.
A rectangular park is 56 mi wide and 157 mi long.
What is the area of the park as a mixed number simplest form?
Answer:
8792mi^2
Step-by-step explanation:
basic area calculations width times length
need help with this problem
2x+y=1
y =−x + 1
Answer:
x = 0 , y = 1
Do let me know if you get it right :)
Is this right? Answer quick please
integral of 3x^2 is (9/3)x^3 + c
I can't see option d but none of the others look correct.
Who can help me with this question problem
Answer:
use the formula and evaluate the givens
Step-by-step explanation:
336=(14/11)^2 * 22/7*h
336=196/121 * 22/7h
336= 4312/847h
336= 5.09h
h=66
SP=3x+1, and LN=10x−6. Find SP.
Answer:
ax+dx=c+e
Step-by-step explanation:
Answer:
SP=7
Step-by-step explanation:
As we know that
1/2 LN=SP
10x-6=2(3x+1)
10x-6=6x+2
4x=8
x=2
SP=3*2+1=7
The answer is 7.
Copy machine makes 44 copies per minute. How long does it take to make 231 copies?
Answer:
5.25 minutes
Step-by-step explanation:
Which equation has no real solutions?
) −2x2=−168
) 4x2+ 76 = 32
) 25x2= 1
) 43 −x2= 12
Answer:
Step-by-step explanation:
4x² + 76 = 32
4x² = -44
x² = -11
but x² must be non-negative, so there is no real solution.
A pair of athletic shoes costs 90$. If the inflation rate remains constant at 4%, write an algebraic rule to determine the cost, c(t), of the shoes after t years. c(t) =
REALLY NEED THIS ANSWER
Answer:
c(t)=90+90×0,04t
c(t)=3,6t + 90
Which equation has no solution?
round 18334 to hundreds
Answer:18300
Step-by-step explanation:
Find the factors of following:
(i) 8x^2yz
Answer:
(i) 8x^2yz=2×2×2×x×x×y×z
1 /3 + 1 /9 / (7/10 * 5 / 4 )
Answer:
0.46
Hope it helps..
have a great day : )
Does the table represent an exponential function? Explain why or why not.
(3,-10 ), (4,-7 ), (5,-4), (6,-1), (7,2),(8,5)
Answer:
No, it does not.
Step-by-step explanation:
It's a linear function, with a slope of -3 (down 3 for every new X as you move right)