Juan analyzes the amount of radioactive material remaining in a medical waste container over time. He writes the function
f(x)=10(0.98) to represent the amount of radioactive material that will remain after x hours in the container.
Rounded to the nearest tenth, how much radioactive material will remain after 10 hours?
O 0.8 units
O 1.3 units
O 8.2 units
O 9.8 units
Answer:
Correct option: Third one -> 8.2 units
Step-by-step explanation:
Assuming that the function that models the amount of radioactive material remaining after x hours is:
f(x)=10*(0.98)^x
To find the amount of material after 10 hours, we just need to use x = 10 in the equation and find the value of f(x):
f(10) = 10*(0.98)^10
f(10) = 8.1707
Rounding to nearest tenth, we have f(10) = 8.2
Correct option: Third one
Answer:
correct answer is C 8.2 units
Step-by-step explanation:
hope this helps!
answer quick for brainliest!
Answer:
b
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
if y=5-x then ...
a would be y=5-1 = 4
b would be y=5-2 =3
c would be y=5-4 =1
d would be y=5-3 =2
a is the right answer because (1,4) 1= x and y= 4 and 5-1=4
quadrato equation
x²+5x+6=0
Answer:
x = - 3, x = - 2
Step-by-step explanation:
Given
x² + 5x + 6 = 0
Consider the factors of the constant term (+ 6) which sum to give the coefficient of the x- term (+ 5)
The factors are + 3 and + 2, since
3 × 2 = + 6 and 3 + 2 = + 5, thus
(x + 3)(x + 2) = 0 ← in factored form
Equate each factor to zero and solve for x
x + 3 = 0 ⇒ x = - 3
x + 2 = 0 ⇒ x = - 2
Answer:
x= -2 or -3
Step-by-step explanation:
First, you find the two factors that can replace +5 to enable you to factorize. To do this, you find the factors of +6 and check the factors that when added would give +5.
The factors are +2 and +3
x²+ 5x+6=0
x²+2x+3x+6=0
x(x+2)+3(x+2)=0
(x+2)(x+3)=0
x+2=0 or x+3=0
x= -2 or x= -3
∴x= -2 or -3
Hope this helps!!!
Use conversions to solve the problem. Jane wants to edge her garden with stone. All sides are equal. The stone costs $6 per yard. What is the perimeter of the garden? How much will it cost to buy the edging she needs?
Answer:
Perimeter: [tex]p = 4\cdot l[/tex], Total costs: [tex]C = 24\cdot l[/tex]
Step-by-step explanation:
The garden has a square form. Let be [tex]l[/tex] the length of any of the sides, measured in yards. The perimeter of the garden, measured in yards, is:
[tex]p = 4\cdot l[/tex]
Now, perimeter has a length unit and total costs of edging the garden, measured in US dollar, is:
[tex]C = \left(6\,\frac{USD}{yard} \right)\cdot 4\cdot l[/tex]
[tex]C = 24\cdot l[/tex]
45 over 43 as a percent
Answer: 104.65%
Step-by-step explanation: 45/43=1.0465 so you just move the decimal to the right 2 places to make it a percent. It’s over 100% because 45 is higher than the total of 43.
Complete the equivalent equation for – 7x - 60 = x2 + 10x.
(x+ (x+ EO
What are the solutions of -7x-60 = 2 + 10x?
.X
Answer:
Equivalent equation: [tex]x^{2} +17x +60=0[/tex]
Solution: x = {-12, -5}
Step-by-step explanation:
[tex]-7x-60=x^{2} +10x\\x^{2} +10x+7x +60=0\\x^{2} +17x +60=0\\x^{2} +12x+5x +60=0\\x(x+12)+5(x+12)=0\\(x+12)(x+5)=0\\x+12=0\: or \: x+5=0\\x=-12\: or \: x=-5\\x=-12,\:-5\\[/tex]
Determine whether each expression is a monomial. Write yes or no and explain your reasoning.
21a2 3
1. 7b 2. 5x − 11 3. 2020
Answer:
1. yes
2. no
3. yes
Step-by-step explanation:
A monomial is one term.
1. Yes. 7b is one term.
2. No. 5x-11 is not one term. It is 2 terms.
3. Yes. 2020 is one term.
find the circumference of the circle
Answer:
C
Step-by-step explanation:
2 x pi x r = circumfrence
2 x 7 x pi = 43.96
Answer: 43.96 m
Step-by-step explanation: To find the circumference of the circle shown here, start with the formula for the circumference of a circle which is shown below.
Circumference = 2πr
Notice that the radius of the circle is 7 meters.
So we can plug in 7 meters for r in the formula.
So we have (2)(π)(7m) which is equal to 14π m.
So the circumference of the circle shown here is 14π m.
Remember that π is approximately equal to 22/7 or 3.14 so we can estimate the value of the circumference by plugging in 3.14 for π.
So we have (14)(3.14) which is equal to 43.96.
So the circumference of the circle is
approximately equal to 43.96 m.
Use multiples to write two fractions equivalent to 5/8
Two Equivalent Fractions of 5/8 = 10/16 and 15/24
Wolfrich lived in Portugal and Brazil for a total period of 141414 months in order to learn Portuguese. He learned an average of 130 new words per month when he lived in Portugal and an average of 150 new words per month when he lived in Brazil. In total, he learned 1920 new words. How long did Wolfrich live in Portugal, and how long did he live in Brazil?
Answer:
The total period should be 14 months and not 141414 months.
Thus answer will be: number of months spent in Brazil is 5 months and he spent 9 months in Portugal.
Step-by-step explanation:
Let the number of months he lived in Portugal be X and the number of months he lived in Brazil be Y: Thus we have:
X + Y = 14 months.
He learned an average of 130 new words per month when he lived in Portugal: 130 x number of months (X) = 130X
and an average of 150 new words per month when he lived in Brazil: 150 x number of months in Brazil (Y) = 150Y.
Thus we have 130X + 150Y = 1920
Since X + Y = 14: make X subject of formula: X = 14 - Y. then substitute this for X in the equation below
130X + 150Y = 1920
130(14-Y) + 150Y = 1920
1820 - 130Y + 150Y = 1920
150Y - 130Y = 1920 - 1820
20Y = 100
Y = 100/ 20 = 5 months
Thus number of months spent in Brazil is 5 months. To find the number of months spent in portugal, use the first equation:
X + Y = 14 where Y is 5
X = 14 - 5 = 9 months. Thus he spent 9 months in Portugal
11.) What was the average heart rate after exercise for trial 3? *
A. 148 b/m
B. 146 b/m
C. 140 b/m
D. 144 b/m
#12.) Explain the general relationship between exercise and heart rates in humans. *
A. as exercise levels increase, heart rate decreases
B. as exercise levels increase, heart rate increases
C. as exercise levels increase, heart rate remains the same
#13.) All of the following are important functions of blood in the human body except: *
A. supplying oxygen to cells/tissues
B. making the body immune by circulating white blood cells
C. sending signals to the brain in response to internal/external stimuli
D. transporting wastes away from cells
#14.) Where does the exchange of food, oxygen, and wastes occur? *
A. arteries
B. capillaries
C. veins
D. lymph vessels
Base your answer to question fifteen on the diagram below and your knowledge of science. The diagram represents a human organ system. The arrows show the directions of blood flow. Letters A and B represent locations in the system.
#15.) State one reason why blood at location B contains more oxygen than blood located at location A. *
Answer:
11) D. 144 b/m
12) B. As exercise levels increase, heart rate increases
13) D. Transporting wastes away from cells
14) B. Capillaries
15) This is because during excercise you increase the skin blood flow in order to enable ¨heat dissipation¨. Then after the increase in blood flow to the muscles decides to have an increase which causes it to have a cardiac output which is in direct proportion to the increase in oxygen consumption.
Step-by-step explanation:
there are men and women at a meting 42 are women. 40 % are men work out the total number of people at the meeting
Answer:
There are therefore 60% women there so altogether there are 70 people at the meeting
A university's freshman class has 1000 students. 600 of those students are majoring in Engineering. What percentage of the freshman class are Engineering majors?
Answer:60%
Step-by-step explanation:
If there are 1000 students in total and 600 are majoring in engineering, you divide 600 by 1000 to find the percent of students majoring in engineering. (600/1000) =.6
To turn a decimal into a percent you move the decimal over 2 places making it 60%.
Answer: 600/1000 = .6 that is the answer
or 60% when you turn the decimal to percent
Step-by-step explanation:
Solve 36-(3c+4)=2(c+7)+c
Answer:
Its 3
Step-by-step explanation:
36-(3(3)+4)
36-(9+4)
36-13
23
2(3+7)+3
2(10)+3
20+3
23
They are equal
Lauren’s book is 180 pages long. She has read 80% of it. How many pages has she read?
Answer:
144 pages read
Step-by-step explanation:
80% = 0.8
0.8 * 180 = 144
On an exam you get 2 points for each question answered correctly, zero points for each question left blank, and lose one point for each question answered incorrectly. What is your total score on the exam if you answer 22 questions correctly, leave 7 questions blank, and answer 5 questions incorrectly? (work please)
Answer:
39 points.
Step-by-step explanation:
Correct questions: 22*2=44
Blank questions: 7*0=0
Incorrect questions: -1*5=-5
Add all the points up and you get:
44+0-5=
44-5=
39 points
What is the volume of a cube whose face has an area of 64cm^2?
Answer:
512
Step-by-step explanation:
Tim's phone service charges $24.93 plus an additional $0.21 for each text message sent per month. If
Tim's phone bill was $30.18, which equation could be used to find how many text messages, x, Tim
sent last month?
Answer:
x = 24
Step-by-step explanation:
T = 24.93 + 0.21x Substitute 30.18 for T
30.18 = 24.94 + 0.21x
-24.94 - 24.94 Subtract 24.94 from both sides
5.24 = 0.21x Divide both sides by 0.21
x = 24.95 ≈ 24 because you can't have a partial text message.
If this answer is correct, please make me Brainliest!
There are ten kids in a class. When any two meet, they shake their hands.Before the class starts, how many handshakes are there?
Answer: 45 handshakes.
Step-by-step explanation:
We have 10 kids.
Let's count.
Kid 1, can meet other 9 kids, so here we have 9 handshakes.
Kid 2, he can meet other 9 kids, but he already handshaked kid 1, so here we only count 8 handshakes.
Kid 3, he can meet other 9 kids, but we already counted the handshake with kid 1 and kid 2, so from here we only count 7 handshakes.
You can see the pattern, the total number of handshakes will be:
H = 9 + 8 + 7 + 6 + 5 + 4 + 3 + 2 + 1 = 45
Answer:
45 handshakes
Step-by-step explanation:
Which statement is true?
pls help me ! * ill give you BRAINLIST , have to get it right * !
Answer:
Slope of function A is less than function B.
Step-by-step explanation:
Function A is y = 2x - 4 which has a slope of 2 ( the coefficient of x).
From the graph we see that the slope of Function B is 6/2 = 3 ( from the point (2,6)
Determine which consecutive integers do not have a real zero of f(x) = x3 + 5x2 - x - 6 between them.
a.(-6,-5)
c. (-2, -1)
b. (-5, 4)
d. (1,2)
Answer:
A
Step-by-step explanation:
I took the test, the answer is A, not c
You flip a coin and then roll a fair six-sided die. The coin lands heads-up and the die shows an even number.
please show work thanks!
Answer:
1/4 = 25%
Step-by-step explanation:
The probability of heads is 1/2.
The probability of an even number on a die is 3/6 = 1/2.
The probability of both is (1/2) (1/2) = 1/4, or 25%.
Answer:
make me brainlist pls pls pls pls
Step-by-step explanation:
A "fair" coin lands heads-up half of the time and "tails-up" half of the time.
For one flip, the probability of landing heads-up is 1/2.
Of those successes, we now consider the probability of the "fair" die landing with an even number on top. This probability is (number of successes) / (total number of possibilities) = 3/6, or 1/2.
So, the probability of both events happening ("and") is 1/2 of 1/2, or (1/2)*(1/2) = 1/4.
Maria is coloring in triangles,squares and circles using 3 colors red blue and yellow or Maria only uses a color on each shape one time how many different combinations can she make?
Answer: 9
Step-by-step explanation:
1.
2.
3.
Sarah earns €8 per hour working in the local shop. How much does she get paid for working 2 3 hours?
Answer:
If it says working for 23hrs then the answer is €204
Step-by-step explanation:
8×23=204
Factorise fully the following:
a) x² + 3x
b) 2x? - 8x
c) 6x + 9x
d) 12x - 4x?
Answer:
a) [tex]x(x+3)[/tex]
b) [tex]2x(x-8)[/tex]
c) [tex]3x(2+3x^{2})[/tex]
d) [tex]4x^{2} (3x-1)[/tex]
Step-by-step explanation:
a) [tex]x^{2} +3x=x(x+3)[/tex]
b) [tex]2x^{2} -8x=2x(x-8)[/tex]
c) [tex]6x+9x^{3} =3x(2+3x^{2})[/tex]
d) [tex]12x^{3} -4x^{2} =4x^{2} (3x-1)[/tex]
Factors of the following algebraic expression are
a. Factors of x² + 3x are x and x+3
b. Factors of 2x² -8x are 2, x and ( x-4)
c. Factors of 6x +9x³ are 3, x and (2 + 3x²)
d. Factors of 12x³ - 4x² are 4, x, x and (3x -41)
What is factor of an algebraic expression?The factor of an given algebraic expressions are one or more numbers or linear or other expressions that multiply to form the given algebraic expression and cannot be broken down further into simpler expressions.
For finding factors of an algebraic expression we can simply take out common expressions from all the terms of the expression and try to simplify it.
a. x² + 3x = x( x+3), (taking x common from both terms)
b. 2x² -8x = 2x ( x-4) (taking 2x common from both terms)
c. 6x +9x³ = 3x (2 + 3x²) ( taking 3x common from both terms)
d.12x³ - 4x² = 4x× x × (3x -41) ( taking 4x² common from both terms)
Also, Learn more about the factors of the algebraic expression from the link below:
brainly.com/question/1245504
#SPJ1
what mathematical process do you use to find the new size using the scale factors? (select all that apply)
1. multiplication
2. addition
3. proportions
4. subtraction
5. division
Answer: 1. multiplication
Step-by-step explanation:
Suppose that you want to change an object with length L with a scale factor a, then the lenght of the rescaled object will be:
L' = a*L
Then the correct option is 1) multiplication.
Notice that sometimes you may find that the scale factor is a number like 1/5 and when you find the new lenght you will end with something like:
L' = L/5 that seems like a division, but this is actually the multiplication between L and 1/5.
A museum has 450 visitors each day. If they are open 5 hours, how many people do they see per hour?
Answer: 90 visitors per hour
Explanation: "Per hour" means in 1 hour, so we can rewrite the given statement using fractions as 450 visitors/5 hours = __visitors/1 hour.
To find out what goes in the bank, notice that we
have a 1 in the denominator of our second fraction.
So we want to find a fraction that is equivalent
to 450/5 that has a 1 in the denominator.
If we divide the numerator and denominator of 450/5 by 5,
we get the equivalent fraction 90/1 or 90 visitors/1 hour.
So now we have 90 visitors/1 hour = __visitors/1 hour.
So a 90 must go in the blank.
This means that the museum sees 90 visitors per hour.
the differce of a number and twenty four is equal to forty six
Answer:
n - 24 = 46
Step-by-step explanation:
Answer:
It is 70 because when you add 24 and 46 it is 70
so when you subtract 24 from 70, you get 46
:)
Step-by-step explanation:
solve similar triangles
Answer:
22.5
Step-by-step explanation:
With similar triangles you don't have to solve for any angle, as both triangles are alike, just different sizes in the case. So 20/12 = 5/3 or 1.66, and the same for 27.5/16.5, so using that, we have 37.5/1.66 which is 22.5
round it to the nearest hundredth x= 3.752697842
Answer:
3.75
Step-by-step explanation:
The hundredth is the 2 number after the decimal point so round that up.
Answer:
3.75
Step-by-step explanation:
the hundreths place is the second number to the left of the decimle, because the number to the left of the hundreths place is less than five. You leave the hundreths place number as it is. This leaves you with your awnser: 3.75