Answer:
Forma exacta:
x=50/11
Sodium-24 has a half-life of 15 hours. When will 4 mg of Sodium-24 remain if the original sample contains 64 mg?
Answer:
60 hours
Step-by-step explanation:
We are given;
Initial amount: A_o = 64 mg
Half life; T_½ = 15 hours
Amount left: A = 4 mg
To get the time that 4 mg of Sodium-24 remain, we will use the formula;
A = A_o(½^(t/T_½))
Where t is the time that 4 mg of Sodium-24 remain.
Thus;
4 = 64 × ½^(t/15)
Divide both sides by 64 to get;
4/64 = 2^(t/15)
0.0625 = ½^(t/15)
In 0.0625 = (t/15) In 0.5
-2.7726 = (t/15) × -0.6931
t = (-2.7726 × 15)/-0.6931
t = 60 hours
Given 4x + y = 180, if y is 20 what is x?
Answer:
40
Step-by-step explanation:
Insert the number
4x + 20 = 180
Get the variable by its self
4x + 20 = 180
-20 -20
4x = 160
/4 /4
x = 40
if you want you can insert it into the problem to check
Pls help me with this question give u brainliest pls it's urgent pls help
[Image: Vertical number line ranging from negative 5 to 5.]
On this number line, zero represents sea level. Plot the following points based on the description provided.
• greatest common factor of 8 and 12
Answer:
Positive 4
Step-by-step explanation:
Factors for 8 => 1, 2, 4, 8
factors for 12 => 1, 2, 3, 4, 6, 12
the common greater number is 4. So the plot will be on posotive 4. Above sea level, which is above zero.
Find the slope of the line passing through the points (9,5) and (9,-4).
Answer:
Step-by-step explanation:
Equation in which to find the slope:
(slope) [tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
Let:
[tex](x_1 , y_1) = (9 , -4)\\(x_2 , y_2) = (9 , 5)[/tex]
Plug in the corresponding numbers to the corresponding variables:
[tex]m = \frac{5 - (-4)}{9 - 9}[/tex]
Simplify. First solve the numerator and denominators, then divide:
[tex]m = \frac{5 - (-4)}{ 9 - 9} \\m = \frac{5 + 4}{9 - 9} \\m = \frac{9}{0}[/tex]
Because a fraction cannot be out of 0, your answer will be .
Find a slope of a line that passes through the points (-1,1) and (3,-1)
Step-by-step explanation:
m=y²-y¹/x²-x¹
m=(-1)-1/3-(-1)
m=-2/4
m=-1/2
Light shines through window what is the area of a trapezoid shaped region created by the light
Answer:
16 ft²
Step-by-step explanation:
The complete question is attached.
A trapezoid is a quadrilateral (has four sides) with one a parallel base. The base angles and the diagonals of an isosceles trapezoid are equal.
The area of a trapezoid = [(sum of the parallel bases) / 2] * height of the trapezoid.
Given that the parallel bases are 3 ft and 5 ft, while the height of the trapezoid is 4 ft. Hence:
The area of a trapezoid = [(3 + 5)/2] * 4
The area of a trapezoid = 16 ft²
Answer:
Step-by-step explanation:
16
change from word to standard form sixty-seven and five hundred thirteen thousandths
The range of the function
Answer:
Range: {-4, 3, 5}
Step-by-step explanation:
The range of a function includes all the set of possible output, or y-values in a given data set of a function.
Thus, the range of the function, {(2, 3), (-3, 5), (6, -4)} includes 3, 5, and -4.
This can be written as:
Range: {-4, 3, 5}
I WILL GIVE 15 POINTS FOR THE CORRECT ANSWER PLEASE I need help with my work
Answer:
1/since 4/5 in three munites i think e divide lang yong 4/5 in to 3.
Answer: A
Step-by-step explanation: 4/15
Diego is attending UTEP and has completed some courses worth 3 credits and some courses worth 4 credits. He has earned a total of 59 credits after completing 18 courses.
How many courses worth 4 credits has Diego completed?
Answer:
5
Step-by-step explanation:
5 courses worth 4 credits have Diego completed. Therefore, option B is the correct answer.
We need to find how many courses worth 4 credits has Diego completed.
What are systems of equations?In mathematics, a system of equations, also known as a set of simultaneous or an equation system, is a finite set of equations for which we sought common solutions. A system of equations can be classified in a similar manner as single equations.
Now, let the courses worth 3 credits be x and the courses worth 4 credits be y.
Now, in total Diego completed 18 courses
That is, x+y=18 ------(I)
Diego has earned a total of 59 credits
So, 3x+4y=59 ------(II)
Multiply the equation (I) by 3, that is 3x+3y=54 ------(III)
Now, subtract the equation (III) from (II) and simplify.
That is, 3x+4y-(3x+3y)=59-54
⇒y=5
Substitute y=5 in the equation (I) and simplify
That is, x=13
Therefore, 5 courses worth 4 credits have Diego completed.
To learn more about the system of equations visit:
https://brainly.com/question/21620502.
#SPJ6
Help me solve this problem please
Answer:
6
Step-by-step explanation:
(4, -4) and (-8, -1)
This need to be put in slope intercept form and I need the steps thank you!
Answer:
y = [tex]\frac{-1}{4}[/tex]x - 3
Step-by-step explanation:
(4, -4) (-8, -1)
y = mx + b
equation for slop: [tex]\frac{y1 - y2}{x1 - x2}[/tex]
[tex]\frac{-4 + 1}{4 + 8}[/tex] = [tex]\frac{-3}{12}[/tex] = [tex]\frac{-1}{4}[/tex]
y = [tex]\frac{-1}{4}[/tex]x - 3
If 5% sales tax is added to her total, what is the greatest total cost of groceries Darla can spend in order to spend as close to $15 as possible without going over?
Answer:
Approximately $14.20
Step-by-step explanation:
Let the cost of the groceries be represented by c, then;
cost price + VAT = c + (5% of c)
To get the value of the cost, c, that would make him spend as close to $15. Since the tax is 5% of the cost price, then the cost price would be close to $15.
Let c = $14.20, then;
So that,
c + (5% of c) = 14.20 + (5% of 14.20)
= 14.20 + 0.71
= $14.91
Thus, the greatest total cost of groceries Darla can spend in order to spend as close to $15 as possible is approximately $14.20.
30 men repair a road in 56 days by working 6 hours daily. In how many days 45 men will repair the same road by working 7 hours daily?
Step-by-step explanation:
(30 men, 56 days, 6 hours daily)
=> (30 men, 48 days, 7 hours daily)
=> (45 men, 32 days, 7 hours daily)
Hence it will take 32 days.
I need help but uh yeah.
Answer:
2- the ratio would be 5:20
3- the ratio would be 6:2
4- the ratio would be 20:7
Step-by-step explanation:
hope this helps! have a great day/night :)
Answer:
5:20
6:2
20:7
Step-by-step explanation:
Estimate: 2.31 x 2.58 x 5.
Estimated Answer: 30
Work: Since 2.31 is below 2.50, I rounded is back down to 2. Since 2.58 is above 2.50, I rounded it up to 3, and Since 5 isn't a decimal, it stays at 5. So, the new "Estimated" multiplication problem is 2 x 3 x 5 = 30
Check: So, lets do the original equation. The answer is 29.799, which is very close, so (Check) I hope this helps, and Happy Holidays! :)
Answer:
IT'S 30
Step-by-step explanation:
= 30: 2X3X5 6X5 =30 This a little bit of step by step but.......
Question: In history the Mongols are remembered as "savage ruthless barbarians." Is this representation accurate? Using the terms stereotype, xenophobia, or prejudice explain why this representation is or is not accurate. Write your response in a claim, evidence, reasoning paragraph with a focus on your concluding sentence. See rubric below for more details.
Answer:
Despite the stereotype of the Mongols, yes they were "savage ruthless barbarians."
Step-by-step explanation:
You need to write the rest yourself.
A painter needs to paint the bottom of a circular pool. The pool has a radius of 30 feet. A store sells 5-gallon cans of paint. Five gallon of paint covers 1500 square feet. What is the smallest number of 5-gallon cans the painter must buy to cover the bottom of the pool?
Answer:
2 cans
Step-by-step explanation:
Given that :
Radius of pool = 30 feets
Using the relation for the Area of a circle :
Area = pi*r^2
Thus,
Area of pool = 3.14 * 30^2
Area of pool = 3.14 * 900 = 2826feet²
Paints are sold in cans of 5 gallon
5 gallon of paint = 1500 feet²
Least number of 5 gallon can required :
2826 feet² / 1500 feet² = 1.884 cans
Hence,
Least number of 5 gallon can required = 2 cans
help !!!
A car gets 40 miles per gallon of gas. It travels for 5 hours at 60 miles
per hour. How many gallons of gas did it use? *
O 6.75 gallons
O 7.5 gallons
O 3.33 gallons
O 10 gallons
decrease 99kg by 5/11
Answer:
54
Step-by-step explanation:
First calculate 5/11 of 99
99 / 11 * 5 = 45
Then subtract your answer from 99
99 - 45 = 54
Find the slope and y-intercept of the graph of 3y = 6x – 12.
The slope is
and the y-intercept is
Answer:y
=
2
x
−
y
Step-by-step explanation:
An Orchestra has twice as many woodwind instruments as brass instruments. There are a total of 150 brass and wood instruments.
How would I write and two different addition equations to describe this situation? Please help!
Answer:
Brass + Brass = Woodwind
Brass + Woodwind = 150
Brass = 50, Woodwind = 100
Step-by-step explanation:
Hi there!
The two addition equations would be:
Brass + Brass = Woodwind
(As there are twice as many woodwind as brass)
AND
Brass + Woodwind = 150
(As there are 150 of those instruments in total)
These two equations fully describe this situation, and you can use them to solve the problem using substitution as well.
Since Woodwind = Brass + Brass, then:
Brass + Woodwind =150
Can also be written as:
Brass + (Brass+Brass) = 150
Now we can solve by combining all the like terms which gives us:
3*Brass = 150
Brass = 150/3
Brass = 50 meaning that Woodwind = 100, as 50+50=100.
Hope this helped!
compare the graph of g(x)=6x−5 to the graph of f(x)=6x
a. g(x) shifted up 5 units
b. g(x) shifted down 5 units
c. g(x) is 6 units steeper
d. f(x) shifted down 5 units
Answer:
The answer is B choice.
Explanation:
Compare two graphs, the transformation of the graph is g(x) while f(x) is an original.
[tex]f(x) = 6x \\ g(x) = 6x -5[/tex]
For a linear function or line graph.
[tex]y = mx + b[/tex]
This means that the function y has the graph that shifts up b units.
[tex]y = mx - b[/tex]
While on the other hands, if the function y has -b as y-intercept. We can say that the function has the graph that shifts down b units.
Rather say that. If the constant term is positive, it shifts up and if the constant term is negative, it shifts down.
Back to the answer.
Comparing two graphs, from f(x) and g(x) —
We can say that function g shifts down 5 units from f(x) ^ Read the topic above before this ^
Thus, the answer is B.
X2+ ?x + 36
ayoooo i need helppp
Answer:
? = 12
Step-by-step explanation:
(x + 6)(x + 6)
= x^2 + 12x + 36
Find the value of x for each function when f(x) = 24
Answer:
x = 76
Step-by-step explanation:
Given
f(x) = [tex]\frac{1}{4}[/tex] x + 5 and f(x) = 24, then equate the right sides
[tex]\frac{1}{4}[/tex] x + 5 = 24 ( subtract 5 from both sides )
[tex]\frac{1}{4}[/tex] x = 19 ( multiply both sides by 4 to clear the fraction )
x = 76
Katarina earns $14.60/hour for regular hours of work. She is paid time and a
half for overtime work. What is her overtime rate of pay?
Answer:
$21.90
Step-by-step explanation:
You start by doing 14.60*1.5 because for overtime work is says she is paid time and a half. When you do the equation, you get $21.90.
Hope this helps!
The temperature dropped 3 °F every hour for6 hours. How much did the temperature drop in all?
Answer:
18 degrees
Step-by-step explanation:
it drops 3 degrees every hour for 6 hours, then the equation would be 3 times 6 and that is 18, PLEASE MARK BRAINLIEST
Helpppppppppppp meeeeeee
Answer:
7
Step-by-step explanation:
Which relation is not a function?
Hurry quick I’ll mark brainlyest now hurry
Answer:
B because the x value repeats
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
beacuse the 7 is on y and it changes whitch cant work
The ratio of boys to girls in a choir is 3 to 7 there are 35 girls in the choir how many members are in the choir
Answer:
50
Step-by-step explanation:
35/7= 5
5*10=50
Answer:
50 people in the choir
Step-by-step explanation:
we can solve for x, assuming x is the value in which 1 is on the ratio. 7x=35, so the value of x would be 5. Next, we must multiply x by 3 since that is what the ratio states. If we do this, we will get 5*3, or 15. Therefore, there are 15 boys in the choir. Last, we have to add 15+35 to get the total number of people in the choir. There are 50 people in the choir.
Hope this helps! :)
(Also i know my explanation is rly bad just ignore it)