Answer:
N = 74(1/2)^(t/2.8)
Step-by-step explanation:
The exponential function expressing a half-life relation can be written ...
amount = (initial amount) × (1/2)^(t/(half-life))
For the numbers given in this problem, this is ...
N = 74(1/2)^(t/2.8)
__
Some folks like to express these relations in the form ...
N = 74e^(-kt)
In this form, the value of k is ...
k = ln(2)/(half-life) ≈ 0.693147/2.8 ≈ 0.24755
N = 74e^(-0.24755t)
The area of a rectangular picture frame is 93.5 square inches. The area formula for a rectangle is A = ℓw. Use the given numbers to write and solve an equation to find the width, w, of the picture frame.
Answer: w=8.5
Step-by-step explanation:
Just did it.
Plss help asap!
what fraction represents numbers between 21 - 27?
Answer:
0.7778
Step-by-step explanation:
step 1
Address the input parameters and observe what to be found:
Input values:
The fraction = 21/27
What to be found:
Find the decimal expansion of fraction 21/27.
step 2
The numerator is smaller than the denominator of the fraction 21/27, so find how many 10s should be multiplied with both numerator and denominator. Since the number of digits are equal in both numerator and denominator, multiply 10 with both numerator and denominator of 21/27.
=21
27
x10
10
step 3
Rearrange the fraction as like the below:
=10 x 21
27
x1
10
=210
27
x1
10
step 4
Simplify the above expression further:
=210
27
x1
10
=189 + 21
27
x1
10
= (189
27
+21
27
) x1
10
= (7 + 21
27
) x 1
10
step 5
Repeat the step 2 to find the decimal equivalent for the fraction 21/27 in the above expression:
= (7 + 21
27
) x 1
10
= (7 + 0.778) x1
10
step 6
Simplify the above expression further:
= (7 + 0.778) x1
10
= 7.778 x1
10
=7.778
10
21
27
= 0.7778
Hence,
21/27 as a decimal is 0.7778
Find all solutions of the equation below.
7^5-3=7^5x-19
Answer:
7⁵-3=7⁵x- 19
Step-by-step explanation:
16807 - 3 = 7⁵x - 19
16804 = 7⁵x - 19
16804 = 16807x - 1
adding 19 on both sides
16804 + 19 = 16807x - 19 + 19
16823 = 16807x
x = 16823 / 16807
16823 upon 16807 is the x
Solve for x: -1 < x + 3 < 5
Answer:
- 4 < x < 2
Step-by-step explanation:
- 1 < x + 3 < 5 ( subtract 3 from each of the 3 intervals )
- 4 < x < 2
-1 < x + 3 < 5
Then subtract 3 from each of the 3 intervals
- 4 < x < 2
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The circumference of a circle is 71 π m. What is the area, in square meters? Express your answer in terms of π.
please can someone help me answer the question in the picture
A board is 8 feet 10 inches long. How long is it in inches?
Answer:
106
Step-by-step explanation:
a foot is 12 inches so 8x12 would be 96 and if you add the other 10 inches that would be 106
HELP ME QUICK PLSSSSSSSS I NEED HELP
Answer:
1.b
2.c
3.a
4.a
5.d
Step-by-step explanation:
yan na po sana maka tolongon a blueprint, the area of a tennis court is 16.25cm². a) if the scale on the blueprint is 1cm: 4m, what is the actual area of the tennis court? b) if the length of the tennis court on the blue priny is 6.25 cm what it the actual length of the tennis court
Step-by-step explanation:
so,
1cm : 4m
that means the factor is 1/400 (as 1 m = 100 cm).
also to remember : 1 m² = 100cm×100cm = 10,000 cm²
the area of a rectangle is
length × width
if both dimensions are shortened by a factor (1/400) in our case :
length×1/400 × width×1/400 =
= length × width × 1/400² = length × width × 1/160,000
that means the area of the actual tennis court is
160,000 times the area of the blueprint picture :
160,000 × 16.25 = 2,600,000 cm² = 260 m²
we now know that the actual length of the tennis court is 400 times the length of the blueprint length :
400 × 6.25 = 2,500 cm = 25 m
Find 3 ratios that are equivalent to the given ratio.
2:9
Answer:
4:18
6:27
8:36
Hope this helps! :)
PLEASE HELP
If you have a graph of two lines, explain how to find the solution to the system of equations.
Each shows two lines that make up a system of equations. If the graphs of the equations intersect, then there is one solution that is true for both equations. If the graphs of the equations do not intersect (for example, if they are parallel), then there are no solutions that are true for both equations.
Find the area of the trapezoid
Help pls urgent :) plssss
Answer:
Fraction form: 1/8
Decimal form: 0.125
Step-by-step explanation:
Slope of line = [-6 - (-8)]/[8 - ( -8)]
= [-6 + 8]/[8 + 8]
= 2/16
= 1/8
= 0.125
Find the volume of the solid. Use 3.14 for π.
Answer:
vol= 10366.3175in²Step-by-step explanation:
So this is a cylinder
formula: π r²hR= 8.75in
h=43.12in
So it will be = 3.14x8.75²x43.12
=> 3.14x76.5625x43.12
3.14x 3301.375
10366.3175in²i think it is correct
.
stay safe
.
have a nice TIME
PLEASE ANSWER I NEED MY MATH GRADE UP PLEASE GUYS
The prism below is made of cubes which measure of an inch on one side. What is the volume?
Note: Figure is not drawn to scale.
A. 12 cubic in
B. 24 cubic in
C. 3 cubic in
D. 9/2 cubic in
Brandon rolls a six sided die twenty times, and records the result in the table below. how many times did brandon roll above the average? 6 1 3 4 4 4 6 5 5 3 6 4 4 5 2 3 5 4 4 2 a. 14 b. 7 c. 5 d. 4
The average is the arithmetic mean of all the observations of a set of numbers. The number of times Brandon rolls above the average is 7.
What is average?The average is the arithmetic mean of all the observations of a set of numbers. it is found by dividing the sum of all the observations of the set by the number of observations in the set.
[tex]\rm{Average=\dfrac{Sum\ of\ observations}{Number\ of\ observations}[/tex]
In order to know the number of times Brandon rolls the dice above the average, we first need to calculate the average of the twenty rolls.
The average of the 20 times dice rolls,
[tex]\rm Average = \dfrac{6+1+3+4+4+4+6+5+5+3+6+4+4+5+2+3+5+4+4+2}{20}[/tex]
[tex]\rm Average = \dfrac{80}{20} = 4[/tex]
Thus, the average of the 20 rolls of the dice is 4.
Now, the number of times the result of the dice roll is above 4(x>4) is 7.
Hence, the number of times Brandon rolls above the average is 7.
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Post Falls High School in Idaho has 1160 students and is growing by 22 students per year. Richmond High School in Indiana has 1900 students and is shrinking by 15 students per year.
PLS HELP
what is the length of side s of the square shown below ?
Answer:
[tex]\sqrt{2}[/tex] A.
Step-by-step explanation:
There's a few ways you can go about solving this, but the way I would go with is using sine law.
Sine law:
[tex]\frac{sinA}{a} = \frac{sinB}{b}[/tex]
in the equation above 'A' an angle, and 'a' would be the length of the side opposite to it. Same thing for B.
You are given the angle 90 degrees, and its opposite side length is 2.
You are also given 45 degrees from one of the corners but it doesn't tell you its side length.
There is one corner where it doesn't tell you the angle but you can figure it out using the law that the angles in a triangle must add up to 180 degrees.
So you subtract the other angles to find the angle of the bottom right angle.
180-90-45 = 45
The reason we want to find that angle, is so we can use sin law to find s.
Write down what you have so far:
[tex]\frac{sin90}{2} = \frac{sin45}{s}[/tex]
Now all you need to do is solve for s.
[tex]\frac{sin90*s}{2} = \frac{sin45}{1}[/tex]
sin 90 is 1.
[tex]\frac{1*s}{2} = sin45\\ \\s = 2*sin45\\\\[/tex]
Now since the answers available are in exact values, you can't just punch this in your calculator.
[tex]sin45 = \frac{\sqrt{2} }{2}\\ \\[/tex]
so,
[tex]s = 2*\frac{\sqrt{2} }{2} = \sqrt{2}[/tex]
solve for x. -5 + 5x = -(1 - 6x)
- 5 + 5x = - 1 + 6x
- 5 + 5 + 5x = - 1 + 5 + 6x
5x = 4 + 6x
5x - 6x = 6x - 6x + 4
- x = 4
x = - 4
Answer:
The answer is that x = -4.
Step-by-step explanation:
You first take away the parenthesis so it would look like this: -5+5x=-1+6x
Then, you add 5 to both sides of the problem: -5+5x+5=-1+6x+5
Then, you simplify it down: 5x=6x+4
You then subtract 6x from each side: 5x-6x=6x+4-6x
Then simplify again: -x=4
Then, divide both sides by -1: -x/-1 = 4/-1
Then simplify to get x = -4.
Please help, I and I also need a thorough explanation, I don't understand this
Answer:
See below ↓
Step-by-step explanation:
Solve for x.
2.1.1
px + qx = ax (p + q) = ax = a / (p + q)2.1.2
2x² - 5x + 2 = 02x² - 4x - x + 2 = 02x(x - 2) - 1(x - 2) = 0(2x - 1)(x - 2) = 0x = 1/2, 22.1.3
[tex](\frac{1}{2} )^{3x+1}[/tex] = 32[tex]2x^{-3x-1} = 2^{5}[/tex]-3x - 1 = 5-3x = 6x = -2I can only answer 3 questions together at maximum so kindly post the rest of your questions 3 at a time separately.
Hope this helped~
Answer:
x = a/(p+q)
x = 2 or x = 1/2
x = -2
m≤ -1 or m<4
-1 , 0 , 1 , 2 and 3.....................since : -1 ≥ m < 4.
x = -3 and y = 9.
Step-by-step explanation:
The first one is just making x to be the subject of the formula by factorising p and q. Then dividing both sides by (p + q).
px + qx = a........................... x (p + q) = a............divide sides by ( p+q) to get the expression.
Solve quadratically for the second one.
For the third one, apply the laws of indices to work out.
32 = ( 1/2)^-5..............so, ( 1/2)^3x + 1 = ( 1/2)^-5.......Drop the base numbers since they are common.
3x + 1 = -5.........then solve to get x as -2.
For the fourth one, we solve for m by separating it into 2.
the first one is: -11 ≤ 3m - 8.
the second one: 3m - 8 < 4
then solve like a normal equation but maintain the inequality signs.
For the integral values, you'll get them from the answers because the answers are a range
The last one you solve simultaneously either by substitution or elimination method.
HOPE THIS HELPS
What is the area of the triangle shown below?
m2
1/2 bxh
1/2 30 x 12
15 x12
=12
Please help to solve this question
Answer:
Step-by-step explanation:
What is the value of the y-intercept of the graph f(x)=138⋅1.9x?
Answer:
Step-by-step explanation:
The y-intercept is the point where the graph cuts the y axis - that is when x = 0.
f(x)=138⋅1.9x
ehen x = 0 f(x) = 0 so the y-intercept is at (0, 0).
A week before an election 100 ople were asked who they planned to vote for or the people asked 45 said they planned to vote for
candidate and they planned to vote for candidate. The rest and they had not yet decided How many of the people that were asked
weet yetece who they plan tovorfor?
Answer:
the answer is c
Step-by-step explanation:
45% of 1500=675
38% of 1500=570
675+570=1245
1500-1245=255
1. Which of the following is an example of a system of equations?
x^2 + 5y + 10 = 14
x - y = 12
x+y=12
x – 3y > 23
3x^1/3+ 2y < 100
x+y=12
3x^1/3 + 5y = -19
x + 5y < 55
Answer: (1)
Step-by-step explanation:
A system of equations must have two equations. The first option is the only one that satisfies this.
Write the vertex form of y = -x^2 + 6x + 6.
Answer:
y = - (x - 3)² + 15
Step-by-step explanation:
using the method of completing the square
y = x² + 6x + 6 ← factor out - 1 from the first 2 terms
y = - (x² - 6x) + 6
to complete the square
add/subtract ( half the coefficient of the x- term )² to x² - 6x
y = - (x² + 2(- 3)x + 9 - 9) + 6
= - (x - 3)² + 9 + 6
= - (x - 3)² + 15
Find the length of the altitude.
[tex]135 = \frac{22 + 8}{2} \times h \\ 135 = \frac{30}{2} \times h \\ 135 = 15 \times h \\ h = \frac{135}{15} \\ h = \frac{27}{3} = 9cm[/tex]
Answer:
Area of a trapezoid :
[tex]area = \frac{a + b}{2} h[/tex]
The measures given are trapezoid
Area = 135
base 1 = 22
base 2 = 8
[tex]135 = \frac{22 + 8}{2} h \\ \\135 = \frac{30}{2} h \\ 2(135) = ( 2)\frac{30}{2} h \\ 270 = 30h \\ \frac{270}{30 } = \frac{30h}{30} \\ 9 = h[/tex]
Step-by-step explanation:
We can check if the answer is right
[tex] \frac{22 + 8}{2} \times 9 \\ \frac{30}{2} \times 9 \\ 15 \times 9 = 135[/tex]
expression that is equivalent to 27e+24
Answer:
3(9e + 8)
Step-by-step explanation:
the highest common factor is 3 so factor it out.
Answer:
[tex]\displaystyle 3[9e + 8][/tex]
Explanation:
Sinse you were not specific in your approach, it is safe to assume that you were probably looking for how to factour this expression, and the way to do to this is to factour a 3 out the expression sinse both quantities have a common divisour of 3:
24: 1, 2, 3, 4, 6, 8, 12, 24
27: 1, 3, 9, 27
I am joyous to assist you at any time.
A crate of pears that usually costs $50 is on sale for 10% off. What is the sale price for the crate of pears?
Sale price of the crate of pears after 10% discount on cost price $50 is equals to $45.
What is sale price?" Sale price is defined as the amount on which something is sold out."
Formula used
Sale price = Cost price - Discount amount
According to the question,
Cost price of the crate of pears = $50
Discount on sale price = 10%
Discount amount = 10% of $50
[tex]=\frac{10}{100}(50) \\\\= \$5[/tex]
Substitute the value in the formula of sale price we get,
Sale price = [tex]\$ ( 50 - 5)[/tex]
= $ 45
Hence, sale price of the crate of pears after 10% discount on cost price $50 is equals to $45.
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Help..............lllllllllllllllllll
Answer:
4 pepperoni pizzas
Step-by-step explanation:
3 cheese => 1 pepperoni
12cheese (3x4) => 4 (1x4) pepperoni