Answer:
surfaces curving inward, so it makes parallel light rays curve outward or diverge. That's why concave lenses are sometimes called diverging lenses. ... The distance from the center of the lens to the focal point is, again, the focal length of the lens.
Step-by-step explanation:
Can u tell me how to do step by step using pemdas please
Answer:
24
Step-by-step explanation:
PEMDAS is an acronym for the order of operations.
P: Paranthesis
E: Exponents
M: Multiplicating
D: Division
A: Addition
S = Subtraction
(Note that division and multiplication are in the same "stage" and don't take priority over one another.)
10 + 4 / 2 x (5 - 1 + 3)10 + 4 / 2 x 710 + 2 x 710 + 1424Answer:
Step-by-step explanation:
you want to know the precedence of order.
the P is parenthesis... do those 1st
/ = this is also a divide sign
10 + 4 ÷ 2 x (5 - 1 + 3 ) ( go left to right, as if reading inside parenthesis )
10 + 4 ÷ 2 x (7) now to multiplication and division going left to right again)
10 + 2 x7
10 + 14
24
Question 3 (1 point) Co-60 has a half life of 5.3 years. If a pellet that has been in storage for 26.5 years contains 14.5g of Co-60, how much of this radioisotope was present when the pellet was put in storage? Answer = grams Blank 1:
Answer:
464 grams.
Step-by-step explanation:
Amount of substance:
The amount of substance after t years is given by an equation in the following format:
[tex]A(t) = A(0)(1-r)^t[/tex]
In which A(0) is the initial amount and r is the decay rate, as a decimal.
Co-60 has a half life of 5.3 years.
This means that:
[tex]A(5.3) = 0.5A(0)[/tex]
We use this to find r. So
[tex]A(t) = A(0)(1-r)^t[/tex]
[tex]0.5A(0) = A(0)(1-r)^{5.3}[/tex]
[tex](1-r)^{5.3} = 0.5[/tex]
[tex]\sqrt[5.3]{(1-r)^{5.3}} = \sqrt[5.3]{0.5}[/tex]
[tex]1 - r = 0.5^{\frac{1}{5.3}}[/tex]
[tex]1 - r = 0.8774[/tex]
So
[tex]A(t) = A(0)(0.8774)^{t}[/tex]
If a pellet that has been in storage for 26.5 years contains 14.5g of Co-60, how much of this radioisotope was present when the pellet was put in storage?
We have that [tex]A(26.5) = 14.5[/tex], and use this to find A(0). So
[tex]A(t) = A(0)(0.8774)^{t}[/tex]
[tex]14.5 = A(0)(0.8774)^{26.5}[/tex]
[tex]A(0) = \frac{14.5}{(0.8774)^{26.5}}[/tex]
[tex]A(0) = 464[tex]
464 grams.
Which of the following is equivalent to log 25 125?
Answer:
[tex]\frac{3}{2}[/tex]
Step-by-step explanation:
Did you mean [tex]log_{25}[/tex] 125, so that your base is 25? If so then all you do is ask yourself "25 to what power is 125?" since [tex]25^{\frac{3}{2} }[/tex] = 125, then the [tex]log_{25}[/tex] 125 = 3/2
I don't get this question
Answer:
Q = 85°
Step-by-step explanation:
P + Q = 180° (angles on the same side of transversal)
95° + Q = 180°
Q = 180° - 95°
Q = 85°
solve for x. x+53=99 A.36 B.46 C.47 D.152
Answer:
Hii, the answer B. 46
Step-by-step explanation:
x+ 53 = 99
So to find what x equals we just do simple subtraction
99 - 53 = 46
so x = 46
Hope this helps!
Can someone please help me ??
Answer:
3?
Step-by-step explanation:
A very large bag contains more coins than you are willing to count. Instead, you draw a random sample of coins from the bag and record the following numbers of each type of coin in the sample before returning the sampled coins to the bag. If you randomly draw a single coin out of the bag, what is the probability that you will obtain either a quarter or a penny
Missing Details
Quarters ≡ Dimes ≡ Nickels ≡ Pennies
23 ≡ 29 ≡ 17 ≡ 38
Answer:
[tex]P(Q\ or\ P) = 0.5701[/tex]
Step-by-step explanation:
Given
[tex]Quarters = 23[/tex]
[tex]Dimes = 29[/tex]
[tex]Nickels = 17[/tex]
[tex]Pennies = 38[/tex]
First, we calculate total number of coins
[tex]Total = 23 + 29 + 17 + 38[/tex]
[tex]Total = 107[/tex]
The probability of obtaining quarter (Q) of penny (P) is:
[tex]P(Q\ or\ P) = P(Quarters) + P(Pennies)[/tex]
[tex]P(Q\ or\ P) = \frac{n(Quarters)}{Total} + \frac{n(Pennies)}{Total}[/tex]
Take LCM
[tex]P(Q\ or\ P) = \frac{n(Quarters) + n(Pennies)}{Total}[/tex]
[tex]P(Q\ or\ P) = \frac{23 + 38}{107}[/tex]
[tex]P(Q\ or\ P) = \frac{61}{107}[/tex]
[tex]P(Q\ or\ P) = 0.5701[/tex]
1/3log125/8-2log2/5+log80/125
[tex] \frac{1}{3} log( \frac{125}{8} ) - 2 log( \frac{2}{5} ) + log( \frac{80}{125} ) [/tex]
Answer:
[tex]3log2[/tex]
Step-by-step explanation:
Given
[tex]\frac{1}{3} log( \frac{125}{8} ) - 2 log( \frac{2}{5} ) + log( \frac{80}{125} )[/tex]
Required
Solve
Apply logarithm rules
[tex]log( \frac{125^{\frac{1}{3}}}{8^{\frac{1}{3}}} )- log( \frac{2^2}{5^2} ) + log( \frac{80}{125} )[/tex]
[tex]log( \frac{5}{2}} )- log( \frac{4}{25} ) + log( \frac{80}{125} )[/tex]
Apply quotient rule
[tex]log( \frac{5}{2} / \frac{4}{25} ) + log( \frac{80}{125} )[/tex]
[tex]log( \frac{5}{2} * \frac{25}{4} ) + log( \frac{80}{125} )[/tex]
[tex]log( \frac{100}{8} ) + log( \frac{80}{125} )[/tex]
Apply product rule
[tex]log( \frac{100*80}{8*125} )[/tex]
[tex]log( \frac{8000}{1000} )[/tex]
[tex]log(8)[/tex]
Express 8 as 2^3
[tex]log(2^3)[/tex]
[tex]3log2[/tex]
Which value for x makes the sentence true? 1/10 + x = 1/7
Answer:
3/70
Step-by-step explanation:
change 1/10 and 1/7 so the denominator (bottom number) is the same. 1/10= 7/70 and 1/7= 10/70 so you need 3/70 to make the two numbers equal.
What is the area of a circle with a circumference
of 25.12 meters?
Area of a circle=πr^2
circumference of a circle= 2πr
circumference of a circle=25.12
2πr=25.12
r=25.12÷2π=4
radius=4
Are of circle= πr^2=π4^2=50.28cm^2
can somebody help me?
Answer:
15x + 7
Step-by-step explanation:
i set this up
8x + 16 + 7x -9
the next step is to combine like terms
8x + 7x = 15x
16 - 9 = 7
15x = 7
15x + 7
10 cm
a
6 cm
What is the length of the missing leg?
a =
centimeters
Answer:
10×6
= 60
Step-by-step explanation:
maaf kalau salah
What is the volume of the pyramid in the diagram?
25 cm
h = 15 cm
15 cm
20 cm
OA 1,500 cm
OB. 2,500 cm
OC 4.500 cm
Answer:
Step-by-step explanation:
Wheres the diagram??
Incomplete q
18 less than the quotient of a number and -5 is no less than 31
Answer:
1
Hope this helps!!!!
Divide x2 by x - 1. What is the value of the remainder?
A) 1
B) -1
C) 2
D) o
Answer:
I think it's B.
Step-by-step explanation:
Divide using polynomial division.
x + 1 + 1/ x − 1.
Maybe not 100% sure.
There are 797 identical plastic chips numbered 1 through 797 in a box. What is the probability of reaching into the box and randomly drawing a chip number that is smaller than 507
Answer:
0.6357 = 63.57% probability of reaching into the box and randomly drawing a chip number that is smaller than 507
Step-by-step explanation:
The probability of drawing each chip is the same, which means that the uniform distribution is used to solve this question.
Uniform distribution:
A distribution is called uniform if each outcome has the same probability of happening.
The uniform distribution has two bounds, a and b, and the probability of finding a value lower than x is given by:
[tex]P(X < x) = \frac{x - a}{b - a}[/tex]
There are 797 identical plastic chips numbered 1 through 797 in a box.
This means that [tex]a = 1, b = 797[/tex]
What is the probability of reaching into the box and randomly drawing a chip number that is smaller than 507?
[tex]P(X < 507) = \frac{507 - 1}{797 - 1} = 0.6357[/tex]
0.6357 = 63.57% probability of reaching into the box and randomly drawing a chip number that is smaller than 507
Tonya has 39 packages. Each package weighs 6 pounds. Choose the best estimate of the total weight of the packages.
Step-by-step explanation:
If were estimating, 39 is pretty close to 40 and 40x6 is 240 pounds. if we are getting exact about it, then 234 pounds
At Kirby Middle School, some students were surveyed to see which social media app they used the most. The results are shown below.
App
Number of Students
Face
8
Snap
22
Insta
20
Solve and explain how to calculate what percent of students used Snap the most?
In your explanation, be sure to:
Explain how you would set up and solve the problem (scale factor or cross multiply/divide).
Identify the part, the whole, and the percent in your explanation.
Use precise mathematical language and detail in your explanation.
Answer:
She is using fame and GO TO HELL.
Step-by-step explanation:
In ΔLMN, l = 810 cm, m = 620 cm and ∠N=166°. Find the length of n, to the nearest centimeter.
Answer:
1420
Step-by-step explanation:
delta math
The required length of n is 1419.5 cm which is determined by the Law of Cosines.
What is a Triangle?Triangle is defined as a basic polygonal shape of a triangle that has three sides and three interior angles.
In triangle ΔLMN,
l = 810 cm, m = 620 cm and ∠N=166°.
We have to determine the length of n
The Law of Cosines as it relates all three sides of a triangle with an angle of a triangle.
n² = l² + m² − 2lm cos(N)
Substitute the values in the above formula and solve for n
n² = 810² + 620² − 2 × 810 × 620 × cos(166°)
n² = 810² + 620² − 104400 × cos(166°)
n = ±1419.5
n = 1419.5, and n = - 1419.5
Neglected the value of n = - 1419.5 because length should not be negative.
n = 1419.5 cm
Learn more about the triangles here:
https://brainly.com/question/17997149
#SPJ2
Is this right? Help?
Answer:
That is wrong bc it says quotient and quotient means a division sign which i dont see on your answer,
Step-by-step explanation:
The correct answer should be...
3/2x
Im srry if wrong (and the "/" means division)
What is the volume of an aquarium if 50cm long 10 cm broad 15 cm high
Answer:
Im pretty sure its 7.5 litres i might be wrong still.
Answer:
7,500 cm
Step-by-step explanation:
It would be 7,500 cm because if you do 50 X 10 you get 500 because the volume formula is L X W X H then you would multiply 500 times 15 and you get 7,500 cm.
Find the surface area of the following prism:
6 m
6 m
10 m
7.2 m
4.8 m
Answer:
172.8m³
Step-by-step explanation:
1/2(7.2)(4.8)(10)=172.8m³
Brianna went into a bakery and bought 2 cookies and 3 brownies, costing a total of $9.50. Nevaeh went into the same bakery and bought 10 cookies and 6 brownies, costing a total of $20.50. Write a system of equations that could be used to determine the price of each cookie and the price of each brownie. Define the variables that you use to write the system.
Answer:
Variable x = cost of cookies
Variable y = cost of brownies
System of equations:
2x + 3y = 9.50
10x + 6y = 20.50
Step-by-step explanation:
Variable x: $ cookies
Variable y: $ brownies
2x + 3y = 9.50
10x + 6y = 20.50
I'm not entirely sure how to explain this one, but my best advice is to just take it step by step when doing these problems. Multiple questions can feel overwhelming so just focus on one question at a time.
1. Two more than the product of 3 and a number is -7.
Answer: -3
Step-by-step explanation:
2 + 3(x) = -7
-2 -2
-----------------------
3x = -9
x = -3
Factor the algebraic expression.
12a+9
factor if posible X/2-4X-12
Answer:
Please refer to the attachment
Answer:
3. (x + 6)(x + 3)
4. (x-6)(x+2)
Step-by-step explanation:
3. x^2 + 9x + 18
To check if it is factorable, first check the discriminant
b^2 - 4ac
9^2 - 4(1)(18)
81 - 72
9
Since D > 0, there are real number solutions
Now let us try and factor
Find a number that adds to 9 and multiplies to 18
3 and 6 work
Rewrite the equation as
x^2 + 3x + 6x + 18
x(x + 3) + 6(x + 3)
(x + 6)(x + 3)
4. x^2 - 4x - 12
To check if it is factorable, first check the discriminant
b^2 - 4ac
(-4)^2 - 4(1)(-12)
16 + 48 = 64
Since D > 0, there are real number solutions
Now let us try and factor
Find a number that adds to -4 and multiplies to -12
-6 and 2 work
Rewrite the equation as
x^2 - 6x + 2x - 12
x(x - 6) + 2(x - 6)
(x + 2)(x - 6)
Identify the range of the function shown in the graph.
O A. y> 0
O B. -5 sys5
O C. Osys 5
OD. yis all numbers.
PREVIOUS
[tex]\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}[/tex]
Actually Welcome to the Concept of the plots and graphs.
Since, the x axis varies from -infinite to +infinite,
here, the y totally varies from -5 to +5,
hence, the option B.) is correct.
===>
[tex] - 5 \leqslant y \leqslant 5[/tex]
The manufacturer of a low-calorie dairy drink wishes to compare the taste appeal of a new formula (formula B) with that of the standard formula (formula A). Each of four judges is given three glasses in random order, two containing formula A and the other containing formula B. Each judge is asked to state which glass he or she most enjoyed. Suppose that the two formulas are equally attractive. Let Y be the number of judges stating a preference for the new formula. a Find the probability function for Y . b What is the probability that at least three of the four judges state a preference for the new formula
Answer:
a) [tex]P_y = \frac{4}{y} * \frac{1}{3}^y * \frac{2}{3}^{4-y}[/tex]
b) 0.033
Step-by-step explanation:
Let Y represents the number of judges preferring a formula.
There are total four judges and each judge can select either A or B
n = 4, p = 1/3
a) The probability function is
[tex]P_y = \frac{4}{y} * \frac{1}{3}^y * \frac{2}{3}^{4-y}[/tex]
b)
Substituting the value of y -3 in above equation, we get -
[tex]P_3 = \frac{4}{3} * \frac{1}{3}^3 * \frac{2}{3}^{4-3}\\= \frac{4}{3} * 0.037 * 0.67\\= 0.033[/tex]
what is the answer for number 1?
Answer:
28.26
Step-by-step explanation:
A = pie x radius*2
The radius is 3, and pie is 3.14. This means the equation is
A = 3.14 x 3*2
3*2 is just 3 x 3, which is 9.
9 x 3.14 = 28.26
Describe the slope of the line.
The slope is
Find the slope.
m =
step by step explanation
Answer:
The slope is POSITIVE.
The line has a slope of positive 4/3
Step-by-step explanation:
It rises 4 then runs 3.