Answer:
31.7 min
Step-by-step explanation:
Given that;
N(t) = Noe^kt
No = amount of radioactive isotope initially present
N(t) = amount of radioactive isotope present at time t
t = time taken
k = decay constant
5.25 = 14e^-k16
5.25/14 = e^-k16
0.375 = e^=k16
ln(0.375) = =-16k
k = ln(0.375)/-16
k = 0.0613 min^-1
So time taken for 2 mg to remain;
2 = 14e^-0.0613t
2/14 = e^-0.0613t
0.1429 = e^-0.0613t
ln(0.1429) = -0.0613t
t = ln(0.1429)/-0.0613
t = 31.7 min
!!! find the indicated side of the triangle PLZ HELP
Answer:
a=17√2
Step-by-step explanation:
Hi there!
We are given a right triangle with the measure of one angle being 45°, and one of the sides being measured 17
we need to find a
first, let's find the measure of the other angle
because it's a right triangle, the sum of the acute angles are complementary, meaning they add up to 90°
let's make the unknown degree of the other angle x
so that means to find x:
45+x=90
subtract 45 from both sides
x=45°
that means the measure of the other angle is 45°
You may notice since we have two angles with the same measure, that means this triangle is isosceles.
That means the other leg (the other side that isn't marked) is also 17
of course, you could solve for a using Pythagorean theorem, but there's actually a shortcut:
in 45°-45°-90°Δ, the legs are a specific value, and the hypotenuse (the side opposite from the 90° is the value of the legs*√2 (for example, if the legs are 3, then the hypotenuse is 3√2). To remember the rule, if the legs have a measure of s, the hypotenuse has a measure of s√2
therefore the measure of a is 17√2
Hope this helps!
Two yards of fabric costs $15. Find the cost
for 7 yards of fabric if the cost of fabric
varies directly with the number of yards.
creí que son 21
Step-by-step explanation:
5$--3-$+3+&$73+3-+$
x^3+y^3+z^3-3xyz=2021
Find x,y, and z.
Answer:
x
=
−
2021
3
y
z
+
X
3
3
y
z
+
y
2
3
z
+
z
2
3
y
Step-by-step explanation:
PLEASE HELP order the sides of EBD from longest to shortest (I’ll give brainlest btw)
helppppppppp meeeeeeeeeee
Answer:
68 in^2
Step-by-step explanation:
Area of two trapezoids:
(7+3)5 = 50
Area of two squares:
2(3x3) = 2(9) = 18
50 + 18 = 68
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Answer:
68
Step-by-step explanation:
3x3=9 (top square)
3x3=9 (bottom square)
(1/2) (5) (2) = 5 (triangle 1)
(1/2) (5) (2) = 5 (triangle 2)
(1/2) (5) (2) = 5 (triangle 3)
(1/2) (5) (2) = 5 (triangle 4)
10 x 3 = 30 (middle rectangle)
9+9+5+5+5+5+30=68
1. 10:15 H Wednesday (Philippines) - 05:15 H Wednesday (Riyadh, Saudi
Arabia)
Time difference
Answer:
5hours
Step-by-step explanation:
10:15 - 05:15 = 5 hours
Thsi means that local time in Philippines is 5 hours ahead of local time in Riyadh, Saudi Arabia.
The time can be interpreted as follows ; At a certain time in the Philippines, say 10:15 am in the morning, At this verh point in the Riyadh, Saudi Arabia, the time will be :
(10:15 - 5 hours) = 05:15
Hii pretty human, could pls help meeeee :((((((
The local fair charges a flat fee for admission plus an additional cost for ride tickets. Last year, Imran purchased 10
tickets and spent a total of $20. His friend, Anton purchased 21 tickets and spent a total of $36.50 at the fair. The
relationship between the # of tickets and total spent is linear. Algebraically determine the following:
a) The price per ticket.
b) The admission fee.
i'm really good at all kinds of math, but this doesn't make any sense.
Answer:
a.the price per ticket?
Find the difference between 5 4/5 and 7 1/3
Answer: -1 8/15
Step-by-step explanation:
First turn it to improper fraction
29/5 — 22/3
87–110/15. (Here make 15 the denominator since both 3 and 5 goes in 15.
—23/15
—1 8/15
What is the slope of a line that contains the points (-4,-8) and (2,-2)
Answer:
1
Step-by-step explanation:
Slope is given by
m = (y2 -y1)/(x2-x1)
= ( -2 - -8)/( 2 - -4)
=( -2+8) / (2+4)
=6/6
=1
Answer:
[tex]\displaystyle m = 1[/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)Slope Formula: [tex]\displaystyle m = \frac{y_2-y_1}{x_2-x_1}[/tex]Step-by-step explanation:
Step 1: Define
Identify
Point (-4, -8)
Point (2, -2)
Step 2: Find slope m
Simply plug in the 2 coordinates into the slope formula to find slope m
Substitute in points [Slope Formula]: [tex]\displaystyle m = \frac{-2--8}{2--4}[/tex][Fraction] Subtract: [tex]\displaystyle m = \frac{6}{6}[/tex][Fraction] Divide: [tex]\displaystyle m = 1[/tex]Use Pythagorean theorem to solve the following right triangles, put your answer in simplest radical form:
Answer:
Step-by-step explanation:I found the answer on this web[tex]^{}[/tex]site. It seems correct! Link Below!ly/3fcEdSx
bit.[tex]^{}[/tex]
Least to greatest
23.569.
23.8
23.75
23.98
Plz answer
Answer:
Step-by-step explanation:
23.569
23.75
23.8
23.98
Name the following
transformations
Answer:
reflection, rotation, and translation.
The area of the rectangle is 65 yd^2,and the length of the rectangle is 3 yd less than twice the width. Find the dimensions of the rectangle
Answer: Length = 10cm
Width = 6.5cm
Step-by-step explanation:
Let the width of the rectangle be represented by x.
Therefore, the length of the rectangle will be: = (2 × x) - 3 = 2x - 3
Therefore area of a rectangle = length × width
x(2x - 3) = 65
2x² - 3x = 65
2x² - 3x - 65 = 0
2x² + 10x - 13x - 65 = 0
2x(x + 5) - 13(x + 5) = 0
(2x - 13)(x + 5) = 0
2x - 13 = 0
2x = 13
x = 13/2
x = 6.5
Width = 6.5cm
Length = 2x - 3
= 2(6.5) - 3
= 13 - 3
= 10cm
Therefore, the length of the rectangle is 10cm and the width is 6.5cm.
there are 20 students in a homeroom how many different ways can they be chosen to be elected president vice president treasurer and secretary
Answer:
116280
Step-by-step explanation:
n=20
r=4
nPr
20P4 = 116280
The students can be chosen in 116280 different ways to be elected as president, vice president, treasurer and secretary.
What is permutation?"It is a mathematical calculation of the number of ways a particular set can be arranged, where the order of the arrangement matters."
Formula of permutation:The number of ways of obtaining an ordered set of 'r' elements from a set of 'n' elements.
[tex]^{n}P_r=\frac{n!}{(n-r)!}[/tex]
For given example,
there are 20 students in a homeroom
⇒ n = 20
Students can be elected president, vice president, treasurer and secretary.
⇒ r = 4
So, using the formula of permutation, the number of different ways they can be chosen to be elected president, vice president, treasurer and secretary would be,
[tex]\Rightarrow ^{n}P_r=\frac{n!}{(n-r)!} \\\\\Rightarrow ^{20}P_4=\frac{20!}{(20-4)!} \\\\\Rightarrow ^{20}P_4=\bold{116280}[/tex]
Therefore, these 20 students can be chosen in 116280 different ways to be elected as president, vice president, treasurer and secretary.
Learn more about permutation here:
https://brainly.com/question/1216161
#SPJ2
3 feet
4 feet
inches
6 inches
Is Inches
What is the volume, in cubic feet, of the
cement used to make the steps? Show or
explain all of the steps you used to determine
your answer.
Answer: 12 for the main square
Step-by-step explanation:
take the 4 and the 3 and multiply it, makes 12. you see how each stair is 6 inches and there is 3 full steps which makes it 1.50 feet. 12 x 1.50 is 18. that makes your main square. I'm sorry but I cant really help you with the steps but that was also confusing to me.
Complete the equations below. 8.8 \div 4 =8.8÷4=8, point, 8, divided by, 4, equals \text{ tenths}\div 4 tenths÷4start text, space, t, e, n, t, h, s, end text, divided by, 4 8.8 \div 4 =8.8÷4=8, point, 8, divided by, 4, equals \text{ tenths} tenthsstart text, space, t, e, n, t, h, s, end text 8.8 \div 4 =8.8÷4=8, point, 8, divided by, 4, equals
Answer: first one is 88 tenths, next one is 22 tenths, and last one is 2.2
Step-by-step explanation: i just pressed get help in khan academy ha ha,
PLSSSSS HELPPPPP REWARD BRAINLEISTTT
ANSWER:
number 1 is D, it moves to the right 4 times
number 2 is B, its a vertical stretch of 2
Raylin went to the park with her friends and found a soccer ball. She picked up the soccer ball and kicked it as high as she could. The path of the ball can be represented by h= -16t2 +27t+3
What is the maximum height of the soccer ball? _______________________
How long will it take the ball to reach the ground?
Answer:
The maximum height is: [tex]h(t_{max})=14.39 \: u[/tex]
The ball reaches the ground in 1.79 s.
Step-by-step explanation:
We need to take the derivative and equal to zero to find the time at the maximum height.
[tex]h(t)=-16t^{2} +27t+3[/tex] (1)
[tex]\frac{dh(t)}{dt}=-32t +27=0[/tex]
[tex]t_{max} =\frac{27}{32}[/tex]
[tex]t_{max} =0.84\: u[/tex]
Now, we just need to put t(max) into equation (1) to find h(max)
[tex]h(t_{max})=-16(0.84)^{2} +27(0.84)+3[/tex]
[tex]h(t_{max})=-16(0.84)^{2} +27(0.84)+3[/tex]
[tex]h(t_{max})=14.39 \u[/tex]
If we want to get the time when the ball reaches the ground we just need to equal h(t) to zero.
[tex]0=-16t^{2} +27t+3[/tex]
Let's solve this quadratic equation.
We will get two solutions and we must choose the positive value.
t1 = 1.79 u
t2 = -0.10 u
Therefore, the ball reaches the ground in 1.79 u.
I hope it helps you!
I need help please like right now thank you
Answer:
x = 150°
Step-by-step explanation:
t1 and t2 are parallel lines, so the line going across them have identical angles. Since 150° is already given on the section that crosses t1, we can assume the same value for t2.
A farmer charges for his coffee beans using the equation C = 3.95p, where C is the cost of the coffee beans and p is the number of pounds of coffee beans. What is the slope?
Answer:
Slope m = 3.95
Step-by-step explanation:
Mathematically :
The equation of a line is written as y = mx + b
where
m is the slope
b is the y- intercept.
From the above question, we are told:
A farmer charges for his coffee beans using the equation C = 3.95p,
where C is the cost of the coffee beans and p is the number of pounds of coffee beans.
Comparing both equations:
y = mx + b
C = 3.95p
C = y
mx = 3.95p
b = 0
Therefore, the slope is 3.95
A circle with its dimensions, in centimeters (cm), is shown.
What is the area, in square centimeters, of the circie?
Answer:
50.27
Step-by-step explanation:
¿cuanto suman los angulos interiores de un hexagono? Escribe solo el numero que corresponda a la cantidad, sin el simbolo de grados
Answer:
La suma de los ángulos interiores de un hexágono regular es 720°
Step-by-step explanation:
Asumamos que el hexágono presentado en el enunciado sea regular, el cual es formado por seis triángulos equiláteros, Un ángulo interno del hexágono está formado dos ángulos laterales y vecinos de dos triángulos equiláteros, es decir, dos veces 60°, o sea, 120°. Si el hexágono regular tiene seis ángulos internos de igual medida, entonces la suma de los ángulos interiores es 720°.
Y=-10x+50
x=9,
y=??
Answer:
-40
Step-by-step explanation:
Plug in 9 for x.
Use Order of operations
-10(9) = -90
-90 + 50 is the same thing as saying 50 - 90
we can simplify by splitting the -90 in to a -40 and a -50
the new equation could be 50 - 50 -40.
50 - 50 = 0
0-40 = -40
Jika harga sebuah martil adalah 10 kali harga paku, dan harga satu lusin paku adalah Rp 1.200,-, berapa harga martil tersebut?
Menjawab:
1000
Penjelasan langkah demi langkah:
Mengingat bahwa :
Harga palu 10 potong harga paku;
Harga selusin paku = 1200
1 lusin = 12
Jadi harga paku adalah:
1200/12
= 100
Makanya, harga paku = 100
Jadi, harga palu adalah:
10 kali lipat, harga paku
10 * 100 = 1000
Evaluate the expression for n = 7
n^2+n+1
NO LINKS
Answer:
57
Step-by-step explanation:
7 times 7 or 7 to the power of 2 is 49 plus 7 is 56 and then plus 1 makes that 57
Answer:
57
Step-by-step explanation:
n^2+n+1 (n=7)
7^2+n+1
49+7+1
49+8
57
please help me with this :))
Hey love! <3
Answer:
Your answer is 306 units^2!
Step-by-step explanation:
Let's work this out together!
First let's find the top and bottom square's area.
6 x 15 = 90
Since there are not only two of those shapes but THREE, 90 x 3= 270.
So 270 is the surface area of the middle rectangles.
Step 2! Let's find the area of these triangles. We know that both of the triangles are 6 on each side.
Think back to geometry formulas. The formula for finding the area of a triangle is different then a square.
Triangle formula: Base x Height / 2 = A
Rectangle formula: Base x Height = A
So 6 x 6 is 36, now we have to divide it by two; which equals 18.
Since there are TWO triangles, we multiply 18 by two giving us the total surface area of the triangles, 36.
Now let's add our products together!
36 + 270 = 306
Thus the total surface area being 306 units^2
Hope this powers up that very-brainly brain of yours! Be sure to drop Brainliest (Only if you want to! No pressure) ( ಠ◡ಠ ) Sincerely, Kelsey from Brainly.
~ #LearnWithBrainly ~
Select all the sets of conditions that will create only one unique triangle.
can someone help me out with these .
What’s the solution for x+3/4> 1 1/2?
Answer:
x > 19/4
interval notation is (19/4, infinity)
Step-by-step explanation:
hope this helps
Can you help on this problem
r + s² at r = 4, s = 1
show work plz
NO LINKS
Answer:
5Step-by-step explanation:
Given Question:[tex]r + {s}^{2} [/tex]
Given values -
r = 4 , s = 1
Therefore putting their values in the question,
[tex]4 + {1}^{2} [/tex]
= 4 + 1
= 5 (Ans)