Answer:
The factorized expression is [tex]x(3x + y)[/tex]
Step-by-step explanation:
We are given the following expression:
[tex]3x^2 + xy[/tex]
Factorizing:
We place the common factor in evidence.
The common factor of both elements of the sum is x. So
[tex]3x^2 + xy = x(\frac{3x^2}{x} + \frac{xy}{y}) = x(3x + y)[/tex]
The factorized expression is [tex]x(3x + y)[/tex]
The population of the city of Atlantis on March 30, 2008 was 183,000. The number of new active cases of TB occurring between January 1 and June 30, 2008 was 26. The number of active TB cases according to the city register on June 30, 2008 was 264. The incidence rate of active cases of TB for the 6-month period was:
Answer:
[tex]\%Rate = 0.0142\%[/tex]
Step-by-step explanation:
Given
[tex]Population = 183000[/tex]
[tex]New\ Cases = 26[/tex]
[tex]Active\ Cases = 264[/tex]
Required
The incidence rate
This is calculated as:
[tex]\%Rate = \frac{New\ Cases}{Population} * 100\%[/tex]
[tex]\%Rate = \frac{26}{183000} * 100\%[/tex]
[tex]\%Rate = 0.0001420765 * 100\%[/tex]
[tex]\%Rate = 0.01420765\%[/tex]
[tex]\%Rate = 0.0142\%[/tex] --- approximated
Hence, the incidence rate is 0.0142%
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!
PLEASE ANSWER ASAP FOR BRAINLEST!!!!!!!!!!!!!!!!!!!!!!!
Answer:
24
Step-by-step explanation:
3 inches / 1.25 miles = x inches / 10 miles
x = 24 inches
Answer:
24 inches
Step-by-step explanation:
create a proportion of inches/miles = inches/miles
let x = # inches in 10 miles
3 / 1.25 = x / 10
cross-multiply:
1.25x = 30
x = 30/1.25
x = 24
I need help with this please
Answer:
A' = (4, 4)
B' = (12, 4)
C' = (4, 10)
Step-by-step explanation:
Ok so you are given that the scale factor is 2. You will multiply 2 with the values given of point A, B, and C in order to find the value of point A', B', and C'.
A = (2, 2) ---> 2 × 2 = 4 and 2 × 2 = 4
A' = (4, 4)
B = (6, 2) ---> 6 × 2 = 12 and 2 × 2 = 4
B' = (12, 4)
C = (2, 5) ---> 2 × 2 = 4 and 5 × 2 = 10
C' = (4, 10)
Hope this helps and stay safe, happy, and healthy, thank you :) !!
Precalculus (view picture) pt2
Answer:
E
Step-by-step explanation:
1/2 e = 1/4 help I don't know what this means
Ashley has a points card for a movie theater.
• She receives 25 rewards points just for signing up.
• She earns 2.5 points for each visit to the movie theater.
• She needs 45 points for a free movie ticket.
How many visits must Ashley make to earn a free movie ticket?
Answer:
8
Step-by-step explanation:
45 points for a free movie - 25 points = 20 remaining points needed
20 / 2.5 = 8
She would need 8 visits to earn a free movie ticket.
Answer:
8
Step-by-step explanation:
25+2.5x=45
subtract 25 from each side
2.5x=20
divide both sides by 2.5
x=8
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 :)
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.
25 + 12x (24 + 3) - 15 21.3
Answer:
324x-1496.3
Step-by-step explanation:
If you earned $60 from $500 in sales , What is the percent commission?
Answer:
300
Step-by-step explanation:
Is this right? Answer quick please
integral of 3x^2 is (9/3)x^3 + c
I can't see option d but none of the others look correct.
Find two positive numbers such that their product is 180 and the sum of the first number squared plus twice times the second is a minimum.
Answer:
3 and 60
Step-by-step explanation:
3 × 60 = 180
180 = 180
3² + 2(60)
= 9 + 120
= 129 minimum
Find the factors of following:
(i) 8x^2yz
Answer:
(i) 8x^2yz=2×2×2×x×x×y×z
Class A had 33 students and class B had 21 students. A number of students were moved from class A to class B so the classes now have the same number of students. Write the equation and solve for how many students were moved.
Answer:
i think its 12.12 kids got moved
Step-by-step explanation:
i just subtracted 33 - 21 = 12...
SOMEONE PLEASE GIVE ME THE CORRECT ANSWER AND ILL MARK BRAINLY
Answer:
The answer is 60 minutes.
Step-by-step explanation:
12 * 5 = 60
15 * 4 = 60
10 * 6 = 60
Who can help me with this question problem
Answer:
use the formula and evaluate the givens
Step-by-step explanation:
336=(14/11)^2 * 22/7*h
336=196/121 * 22/7h
336= 4312/847h
336= 5.09h
h=66
SP=3x+1, and LN=10x−6. Find SP.
Answer:
ax+dx=c+e
Step-by-step explanation:
Answer:
SP=7
Step-by-step explanation:
As we know that
1/2 LN=SP
10x-6=2(3x+1)
10x-6=6x+2
4x=8
x=2
SP=3*2+1=7
The answer is 7.
Simplity to create an equivalent expression. 6(7 – 3y) + 6(y +1)
Answer:
48-12y
Step-by-step explanation:
So first you have to distribute
it would be...
42-18y+6y+6
then you put it together
48-12y
Dan buys a car for £3200.
It depreciates at a rate of 5.1% per year.
How much will it be worth in 4 years?
Give your answer to the nearest penny where appropriate.
Answer:
£2509
Step-by-step explanation:
3200x0.941*4 =2509
I need help pls answer
Answer:
4y²+2 = ( 4y × 4y ) + 2
Step-by-step explanation:
please mark me as brainliest answer.
A pair of athletic shoes costs 90$. 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
Solve for n.
5 (n+11) = 5 • 9 + 5 • 11
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)
round 18334 to hundreds
Answer:18300
Step-by-step explanation:
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.
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
1 /3 + 1 /9 / (7/10 * 5 / 4 )
Answer:
0.46
Hope it helps..
have a great day : )
Tony is trying to find the solutions to the quadratic equation 3x2 + 24x - 15 = 0 by factoring and
has come to you for help. Explain why Tony would need to use a method other than factoring to find
the solutions to this equation.
DO NOT SOLVE and be specific in your explanation.
В І у
0 / 1000 Word
Answer:
You would either need to complete the square, use the quadratic equation, or another method because when reduced by the common factor, the constant term c is prime which means that it is only divisible by one and itself. Because the possible rational factors determined by c do not add up to the b term, it cannot be factored.
Explanation:
3x² + 24x - 15 = 0
3(x² + 8x - 5) = 0
[find the greatest common factor between each term and move the coefficient outside of the expression; in this case it's 3 since 3 fits into numbers 3, 24, and -15 so that it cannot be reduced further]
Then you can either use the box or pq method (since a is 1) to find working factors.
x² + bx + c → (x + p)(x + q).
p + q = b.
pq = c.
In this case with 3(x² + 8x - 5), b is 8 and c is -5.
This means we need two numbers that add up to 8 and multiply to -5.
Since -5 is prime, our only options are ±1 for p and ∓5 for q. This is because these are the only factors which multiply to -5.
1 + -5 = -4 ≠ 8
-1 + 5 = 4 ≠ 8.
Since we cannot find rational solutions, this cannot be factored, and so we must use another method.
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.