Answers
Answer:
C
Step-by-step explanation:
Related Questions
What is the equation for -19 = b - 6
Answers
Answer:-13=b, b=-13
Step-by-step explanation: Move -6 to the other side, which turns it to positive. Now you subtract -19+6=-13
Answer:
[tex]b=-13[/tex]
Step-by-step explanation:
[tex]-19 = b - 6[/tex]
Switch sides
[tex]b-6=-19[/tex]
Add 6 to both sides
[tex]b-6+6=-19+6[/tex]
Simplify
[tex]b=-13[/tex]
Radioactive technetium-99m is often used in diagnostic medicine because it has relatively short half-life but lasts long enough to get the needed testing done on the patient. If its half-life is 6 hours, how much of the radioactive material from a 2.5ml injection will be in the body in 30 hours? Write your answer rounded to nearest hundredth.
Answers
Using an exponential function, it is found that 0.08 ml of the will be in the body in 30 hours.
The amount of a decaying substance is modeled by an exponential function in the following format:
[tex]A(t) = A(0)e^{-kt}[/tex]
In which:
A(0) is the initial amount.k is the decay rate, as a decimal.In this problem, the half-life is 6 hours, which means that [tex]A(6) = 0.5A(0)[/tex], and this is used to find k.
[tex]A(t) = A(0)e^{-kt}[/tex]
[tex]0.5A(0) = A(0)e^{-6k}[/tex]
[tex]e^{-6k} = 0.5[/tex]
[tex]\ln{e^{-6k}} = \ln{0.5}[/tex]
[tex]-6k = \ln{0.5}[/tex]
[tex]k = -\frac{\ln{0.5}}{6}[/tex]
[tex]k = 0.11552453009[/tex]
Hence:
[tex]A(t) = A(0)e^{-0.11552453009t}[/tex]
2.5 ml injection, hence [tex]A(0) = 2.5[/tex]
After 30 hours, we have to find A(30), hence:
[tex]A(t) = 2.5e^{-0.11552453009t}[/tex]
[tex]A(30) = 2.5e^{-0.11552453009(30)}[/tex]
[tex]A(30) = 0.08[/tex]
0.08 ml of the will be in the body in 30 hours.
A similar problem is given at https://brainly.com/question/16984805
H(x)= ⎩ ⎪ ⎪ ⎪ ⎪ ⎪ ⎪ ⎪ ⎪ ⎨ ⎪ ⎪ ⎪ ⎪ ⎪ ⎪ ⎪ ⎪ ⎧ 8+6x x+4 10 4x−3 , , , x<−7 −7≤x<−5 x≥−5
Answers
Answer:
[tex]h(-6) = -\frac{1}{5}[/tex]
Step-by-step explanation:
Given
[tex]h(x) =\left[\begin{array}{cc}8 + 6x\ \ &x < -7\\\frac{x + 4}{10} &-7 \le x <-5 \\4x - 3\ &x \ge -5\end{array}\right[/tex]
Required
Determine h(-6)
To do this, we make use of:
[tex]h(x) = \frac{x + 4}{10}[/tex]
Because [tex]-7 \le -6 <-5[/tex]
So, we have:
[tex]h(x) = \frac{x + 4}{10}[/tex]
[tex]h(-6) = \frac{-6 + 4}{10}[/tex]
[tex]h(-6) = \frac{-2}{10}[/tex]
Simplify
[tex]h(-6) = -\frac{1}{5}[/tex]
Find the Value of x.
Answers
Directions: Find the odds and the probability of the event(s) occuring.
You roll a fair six-sided die twice. The
first roll shows a one and the second roll
shows a two.
Plone and then two) =
Odds =
Answers
Answer:
1/36
Step-by-step explanation:
What is the best way for a consumer to prevent unexpected fees from a new credit card?
A. study the advertisement for the credit card
B. read the fine print of the credit card agreement
C. research laws that regulate credit card companies
D. ask the credit card company for referrals from other consumers
Answers
help pls i have 5 minss, no links
Answers
Answer:
3/25
Step-by-step explanation:
Sydney currently earns 11.50 an hour working part time. What is the minimum increase per hour she needs to at least match the average annual rate of inflation at three percent
Answers
Answer:
The salary of Sydney to meet the loss due to inflation should be 11.85 per hour
Step-by-step explanation:
The inflation rate is 3%
This means that the alary amount will reduce by 3%.
3% of Sydney's hourly salary is
[tex]\frac{3}{100} *11.50[/tex] = 0.345
Hence, the new salary must increase by 0.345 dollar per hour
The salary of Sydney to meet the loss due to inflation should be 11.50 + 0.345 = 11.845 or 11.85
Mackenzie's business trip included driving to a conference that was 470 miles away. If she averaged 55 miles per hour, how long did it take her to get to the conference?
Answers
Answer:
About 8.5 hours
Step-by-step explanation:
Divide the total number of miles by the number of miles driven per hour. 470 divided by 55 is about 8.5, so it took her about 8.5 hours to get to the conference.
Can someone please help me? I don't understand how to do this. I need to multiply this polynomial 3(X-2)^4. Also, the ^4 means the power of 4, or exponent 4.
Answers
Answer:
do you need a graph of it or it just multiplied out step by step?
Answer:
3x^4-24x^3+72x^2-96x+48
Step-by-step explanation:
1. (x-2)^4
=(x-2)(x-2)(x-2)(x-2)
=x^4-8x^3+24x^2-32x+16
2. 3(x^4-8x^3+24x^2-32x+16)
=3x^4-24x^3+72x^2-96x+48
The starting salary for delivery driver is 35,000 per year with a yearly increase of 3% which type of function best models this situation
Answers
Answer:
Option B
Step-by-step explanation:
The complete question is
The starting salary for a delivery driver is $35,000 per year with a yearly increase of 3%. which type of function best models this situation? a) exponential b) linear c) quadratic d) radical
Solution
After 1 year the salary of delivery boy will be
[tex]35000 + 35000*0.03\\35000+1050\\36050[/tex]
Salary of delivery boy after 2nd year =
[tex]36050 + 36050*0.3 = 37131.5[/tex]
Salary after 3rd year
[tex]37131.5 + (37131.5*0.03) = 38245.45[/tex]
The growth in salary is linear as depicted from the values obtained.
Hence, option B is correct
8 (x + 4) = 62.4 what does x represent
Answers
Answer:
8 (3.8 + 4)
Step-by-step explanation:
x=3.8
The measure of an angle is 40.5°. What is the measure of its supplementary angle
Answers
Answer:
Supplementary angles add to 180 degrees. So of the measure of the angle is x, the measure of its supplement is 2x. Angle = 60, supplement = 120
Step-by-step explanation:
Answer:
139.5º
Step-by-step explanation:
The sum of supplementary angles is 180º
s + 40.5 = 180
Subtract 40.5 from both sides
s = 139.5º
what is the distance between (7, 8) and (-8, 0) on the coordinate grid?
Answers
Answer: Are you asking for slope?
Step-by-step explanation:
8-0 = 8
7-(-8) = 15
8/15
(WILL GIVE BRAINLIEST)What is the total surface area of a rectangular block whose
length, width, and height are 12, 10, and 4 respectively?
ANSWER CHOICES:
480
416
208
104
Answers
Answer:
480
please mark brainliest
7x+7=3x+27
What is the value of x
Answers
can someone please help me with circle similarity?
Answers
Answer: were is your qustion at
plz make brainly
Step-by-step explanation:
Miss McIntosh leaves a $6.75 tip for her waiter. If her tip was 20% of the cost of her meal, what was the cost of her meal?
Answers
Answer: 72$
Step-by-step explanation:
because
A section of a deck is shaped like a trapezoid. For this section, the length of one base is 37 feet, and the length of the other base is 46 feet. The height is 20 feet. What is the area of this section of the deck?
Answers
Answer:
[tex]A=830\ ft^2[/tex]
Step-by-step explanation:
Given that,
The length of one base is 37 feet, and the length of the other base is 46 feet. The height is 20 feet.
We need to find the area of this section of the deck that is shaped like a trapezoid.
The area of a trapezium is given by :
[tex]A=\dfrac{a+b}{2}\times h[/tex]
a = 37 ft, b = 46 ft and h = 20 ft
Put all the values,
[tex]A=\dfrac{37+46}{2}\times 20\\\\A=830\ ft^2[/tex]
So, the area of this section of the deck is equal to [tex]830\ ft^2[/tex].
AB is tangent to circle at B. Find x.
Answers
Answer:
x = 6
Step-by-step explanation:
using the Pythagorean theorem:
(4 + x)² = 8² + x²
16 + 8x + x² = 64 + x²
subtract x² and 16 from each side of the equation:
8x = 48
divide both sides by 8:
x = 6
solve for x 1.6 equals 12.8
Answers
Answer: x=14.4
Step-by-step explanation:
ax+b=cx+d; a is not equal to c
Answers
Answer:
[tex]x = \frac{d - b}{a - c} [/tex]
The length of a planet's orbit around a star is approximately 16,340,000 km. It takes the planet about 810 Earth days to complete a full orbit. What is the planet's average speed in kmh-1 to 3sf? HELP
Answers
Answer:
841 kmh-1
Step-by-step explanation:
speed = distance / time
time = 810 x 24 = 19440
16,340,000 km / 19440 = 840.535
Cate and Elena were playing a card game. The stack of cards in the middle had 27 cards in it to begin with.
Cate added 7 cards to the stack. Elena then took 10 cards from the stack. Finally, Cate took 6 cards from
the stack. How many cards were left in the stack?
There were
cards left in the stack.
Answers
Answer:
18
Step-by-step explanation:
You would have 27 then add 7 subtract 10 and subtract 6 to get 18.
Identify any outliers of the data set. Then determine the effect that the outlier has on the mean.
375, 350, 400, 375, 375, 425, 350, 125, 400
I swear I get so confused with these-
Answers
Answer:
125 is an outlier
125 changes the mean by 23 points (from 375 to 352)
Step-by-step explanation:
an outlier is 1.5 times the IQR
the InterQuartile Range of this set of data is 400-350 or 50
50 x 1.5 = 75
the only data value that is 75 points from the IQR is 125
KHAN ACADEMY..... AGAIN..
Answers
Answer:
x = 12
Step-by-step explanation:
10x+24 = 6x+72
10x - 6x = 72 - 24
4x = 48
x = 12
Answer:
144
Step-by-step explanation:
10x+24=6x+72
-6x -6x
4x+24=72
-24 -24
4x=48
/4 /4
x=12
<A=10(12)+24
<A=120+24
<A=144
1. Valerie's monthly income is $300 and her monthly expenses are $250. How much money
could Valerie save in the next eight months without changing her income or expenses?
Answers
Answer:
$400
Step-by-step explanation:
Find the measure of the exterior angle.
Answers
[tex] \huge{ \mathfrak{ Answer }}[/tex]
Exterior angle = sum of opposite interior angles,
so,
[tex] \boxed{(t + 10 )+( t )= 180-(t + 20)}[/tex]
[tex]2t + 10 = 180 - t - 20[/tex][tex]2t + t = 160 - 10[/tex][tex]3t = 150[/tex][tex]t = 50[/tex]value of t = 50°
[tex] \boxed{Exterior \: \: angle = 180 -(t + 20)}[/tex]
[tex]180 - (50 + 20)[/tex][tex]180 - 70[/tex][tex]110°[/tex]measure of exterior angle is 110°
[tex] \normalsize{ \#TeeNForeveR}[/tex]
2. Find the radius of the circle.
La
12 in.
Answers
Answer:
Hello! answer: radius is 6
Step-by-step explanation:
It shows that the diameter is 12 the radius is half of that therefore the radius is 6 hope that helps!
help please :) show work?! NO LINKS BRO
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9. 45.5 cm cubed