1. To convert 0.00526 into scientific notation, follow these steps:
Move the decimal 3 times to right in the number so that the resulting number, m = 5.26, is greater than or equal to 1 but less than 10
Since we moved the decimal to the right the exponent n is negative
n = -3
Write in the scientific notation form, m × 10n
= 5.26 × 10-3
Therefore, the decimal number 0.00526 written in scientific notation is 5.26 × 10-3 and it has 3 significant figures.
2. To convert 0.00639 into scientific notation also known as standard form, follow these steps:
Move the decimal 3 times to right in the number so that the resulting number, m = 6.39, is greater than or equal to 1 but less than 10
Since we moved the decimal to the right the exponent n is negative
n = -3
Write in the scientific notation form, m × 10n
= 6.39 × 10-3
Therefore, 0.00639 in scientific notation is 6.39 × 10-3 and It has 3 significant figures. In scientific e-notation it is written as 6.39e-3.
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Determine the largest power of 10 that is a factor of the following numbers (equivalently, the number of terminal 0's, using ordinary base 10 representation):(a) 50!.
(b) 1000!.
The largest power of 10 that is a factor of 1000! is 5^249, or 10^249.
(a) To find the largest power of 10 that is a factor of 50!, we need to count the number of factors of 5 in 50! since each factor of 5 contributes at least one factor of 10.
There are 10 multiples of 5 in 50!, namely 5, 10, 15, 20, 25, 30, 35, 40, 45, and 50. Each of these contributes one factor of 5. There are also 2 multiples of 25 (25 and 50), each of which contributes an additional factor of 5. Therefore, the total number of factors of 5 in 50! is 10 + 2 = 12.
Since each factor of 10 contains one factor of 5 and one factor of 2, we also need to count the number of factors of 2. It is clear that there are more factors of 2 than factors of 5, so we only need to count the factors of 5. Therefore, the largest power of 10 that is a factor of 50! is 5^12, or 10^12.
(b) To find the largest power of 10 that is a factor of 1000!, we follow the same reasoning as in part (a). The number of factors of 5 in 1000! is:
⌊1000/5⌋ + ⌊1000/25⌋ + ⌊1000/125⌋ + ⌊1000/625⌋ = 200 + 40 + 8 + 1 = 249
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PLS SOLVE THIS!!! pls pls pls
Answer:
what grade is this?
Step-by-step explanation:
A baker has 4 3/4 pounds of cookie dough. He uses 1/16 pound of dough for each cookie. How many cookies can he make? Simplify the answer.
This shows that 76 cookies will be made with the total pounds of cookies
Ratio and proportionFractions are written as a ratio of two integers. Given the following parameters
Total pounds of cookies made = 4 3/4 pounds
Total pounds of cookies made = 19/4 pounds
If he uses 1/16 pound of dough for each cookie, the total amount of cookies made is given;
Number of cookies = 19/4 ÷ 1/16
Number of cookies = 19/4 * 16/1
Number of cookies = 19 * 4
Number of cookies = 76
This shows that 76 cookies will be made with the total pounds of cookies
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с
ABC and AED are straight lines.
BE and CD are parallel.
В.
AC = 12.3 cm
AB = 8.2 cm
BE = 3.8 cm
a) Work out length CD.
А
E
D
AD = 9.15 cm
b) Work out length ED.
9514 1404 393
Answer:
a) CD = 5.7
b) ED = 3.05
Step-by-step explanation:
Triangle ABE is similar to triangle ACD by AA similarity. This means we can write the proportions ...
a) CD/BE = AC/AB
CD = BE(AC/AB) = 3.8(12.3/8.2)
CD = 5.7
__
b) ED/AD = BC/AC
ED = AD((AC -AB)/AC) = 9.15(12.3 -8.2)/12.3
ED = 3.05
Answer:
Step-by-step explanation:
Could someone explain to me how to solve any one of these problems so that I could solve the rest of them on my own? I already know the asymptote and the y-intercept, but I'm unsure of how to find the maximum/minimum.
Answer:
what in the world is this
Answer: Maybe asymptote means the lowest number and y-intercept means the second lowest and minimum means medium and maximum means the highest number.
I'm sorry if this doesn't help but i'm still in 3rd grade.
Write the fraction as a mixed number 10/20
Fill in the missing value for the coordinate pair that lies on the graph of the function. y=52 (2,
The missing value for the coordinate pair that lies on the graph of the function. y=5^x (2, 25)
How to determine the missing values?The equation of the function is given as:
y = 5^x
And the x value is given as
x = 2
To determine the missing value, we start by substituting 2 for x in the function y = 5^x
So, we have:
y = 5^2
Evaluate the exponent
y = 25
So, the complete coordinate is (2, 25)
Hence, the missing value for the coordinate pair that lies on the graph of the function. y=5^x (2, 25)
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50 POINTS!!!!!!!! PLEASE ANSWER THIS QUICKLY WITH AN EXPLANATION!!!!!!!!! ANSWER ALL OF THEM
Answer:
(b) 27°
(c) 34°
( ) 27°
Step-by-step explanation:
Angle relations involving lines, parallel lines, and triangles come into play here.
angles of a linear pair total 180°angles of a triangle total 180°vertical angles are congruentcorresponding angles at a transversal crossing parallel lines are congruent(b)The interior angles at W and Y will be the supplement of the exterior angles at those points. The sum of interior angles is 180°.
(180° -6x) +90° +(180° -4x) = 180°
270° = 10x . . . . . . . . . add 10x and simplify
27° = x
(c)The vertical angles at S are congruent. This tells us ...
3x +∠PSQ = 4x
∠PSQ = x
The sum of angles in triangle PSQ is 180°, so we have ...
x +x +(180° -68°) = 180°
2x = 68° . . . . . . . . add 60°-180°
x = 34° . . . . . . . . . divide by 2
( )Angles BAD and EDF are corresponding angles, hence congruent. The sum of angles in triangle BAD is 180°.
2x +2x +72° = 180°
4x = 108° . . . . . . subtract 72°
x = 27° . . . . . . . . divide by 4
two consecutive even integers have a sum of 67. Find the integers.
Answer:
33, 34
Step-by-step explanation:
the problem statement is competent confusing. is that really what your teacher asked you ?
adding two even integer numbers (it did not matter which ones) always result in an even number.
67 is uneven.
so it cannot be the result of 2 even numbers. "consecutive" or not. let alone the fact that 2 even numbers cannot actually be consecutive, because there is always an uneven number after each even number. but with some eyes closed one can understand that this could have meant "an even number and the next even number after that". but still, my first point is a real blocker.
so, I decided to ignore "even" and went for "two consecutive numbers".
x + (x+1) = 67
2x + 1 = 67
2x = 66
x = 33
x+1 = 34
2. The diagram above shows a wooden structure in the form of a cone mounted on hemispherical base. The vertical height of the cone is 24cm and the base 7cm. Calculate correct to 3 significant figures the surface area of the structure. (Take π= 22/7)
The surface area of the wooden structure is approximately 1012 cm².
To calculate the surface area of the wooden structure, we need to find the surface area of the cone and the surface area of the hemispherical base, and then add them together.
Surface Area of the Cone:
The surface area of a cone is given by the formula:
A_{cone = \(\pi \times r_{cone} \times (r_{cone} + s_{cone})\), \(r_{cone\) is the radius of the base of the cone and \(s_{cone\) is the slant height of the cone.
The vertical height of the cone is 24 cm, and the base radius is 7 cm, we can calculate the slant height using the Pythagorean theorem:
\(s_{cone\) = \(\sqrt{(r_{cone}^2 + h_{cone}^2).\)
Using the given measurements:
\(s_{cone\) = √(7² + 24²) cm
\(s_{cone\) ≈ √(49 + 576) cm
\(s_{cone\) ≈ √625 cm
\(s_{cone\) ≈ 25 cm
Now, we can calculate the surface area of the cone:
\(A_{cone\) = π × 7 cm × (7 cm + 25 cm)
\(A_{cone\) = (22/7) × 7 cm × 32 cm
\(A_{cone\) = 704 cm²
Surface Area of the Hemispherical Base:
The surface area of a hemisphere is given by the formula:
\(A_{hemisphere\) = \(2 \times \pi \times r_{base}^2\), \(r_{base\) is the radius of the base of the hemisphere.
Given that the base radius is 7 cm, we can calculate the surface area of the hemispherical base:
\(A_{hemisphere\) = 2 × (22/7) × (7 cm)²
\(A_{hemisphere\) = (22/7) × 2 × 49 cm²
\(A_{hemisphere\) = 308 cm²
Total Surface Area:
To calculate the total surface area, we add the surface area of the cone and the surface area of the hemispherical base:
Total Surface Area = \(A_{cone} + A_{hemisphere}\)
Total Surface Area = 704 cm² + 308 cm²
Total Surface Area = 1012 cm²
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Solve for x
Your answer must be simplified
-3 < x - 10
The simplified inequality is x > 7.
What is an inequality?
An inequality in mathematics is a relationship that makes a non-equal comparison between two integers or other mathematical expressions. It is most commonly used to compare the sizes of two numbers on a number line. There are multiple notations used to denote various types of inequalities: (i)The symbol a b indicates that an is less than b. (ii)A > b indicates that an is greater than b. In either scenario, a and b are not equal. These are characterized as stringent inequalities because an is either strictly less than or strictly bigger than b. Equivalence is not allowed. In contrast to rigorous inequalities, there are two forms of non-strict inequality relations.
The given inequality -3 < x - 10
or, -3 + 10 < x
or, 7 < x
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i will mark you brainless if you can solve this
Answer:
1.cube
6faces
2.i can't understand it what is it but I think rectangle
3.i think it's pyramid if it is it has
5 faces
3. cone
1 face
Please help me it’s in my math class
Answer:
1-70: Purple- 9/10= 0.18= 2 marbles
Orange- 16/50= 0.32= 3 marbles
Yellow- 6/50= 0.12= 1 marble
Green- 19/50= 0.38= 4 marbles
1-71: Part A. 3/6= 1/2
Part B. 4/6= 2/3
PLEASE ANSWER ASAP! 15 POINTS ! NO SCAM LINKS OR REPORTED :)
Answer: C
Step-by-step explanation: You have to plug in the values to see if it matches the values on the table of values
The table shows the depths (relative to sea level) of several scuba divers.
What is the difference between Oscar's depth and Annabelle's depth? Write your answer as a mixed number in simplest form
Answer:(-6 5/6)
Step-by-step explanation:
-12.5=-12-1/2
-5 2/3= -5-2/3
=(-12 3/6)-(-5 4/6)
=(-6 5/6)
gimme brainlliest
13. The manager of a clothing store planned to give free turkeys to salespersons selling over $10,000 during the fall harvest sale. Of the 110 salespersons working at the store, only 8 sold over $10,000. What percent of the salespersons received turkeys?
Answer:
7.27% of the salespersons received turkeys
Step-by-step explanation:
Of the 110 salespersons working at the store, only 8 sold over $10,000.
So those earned turkeys.
As a proportion, this is: 8/110 = 0.0727
To find the percentage, we multiply the proportion by 100%. So
0.0727*100% = 7.27%
7.27% of the salespersons received turkeys
it is math for evaluating functions please help
The domain of the given function is; (0, 2)
The range of the given function is; (-2, 6)
What is the range and domain of the given function?We want to evaluate the function f(x) = 4x - 2 for x = 0, 1 and 2.
Step 1;
f(0) = 4(0) - 2
f(1) = 4(1) - 2
f(2) = 4(2) - 2
Step 2;
f(0) = 0 - 2 = -2
f(1) = 4 - 2 = 2
f(2) = 8 - 2 = 6
The domain is the set of all possible input values which is (0, 2)
The range is the set of all possible output values which is (-2, 6)
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what is 5+10 in your opiniyon
Answer: 15
Step-by-step explanation:
In my opinion it's 15 because calculators
Answer:
15
Step-by-step explanation:
10 can be written as 5 + 5
5 + 10
= 5 + 5 + 5
= 5 x ( 1 + 1 + 1 )
= 5 x 3
= 15
Let B be a 2 ×2 matrix such that
7B^2 −5B + 3I = 0.
Is B invertible? It so, what are the eigenvalues of B−1? Justify your answer.
Yes, Matrix B is invertible.
And, The eigenvalues of B−1 are;
⇒ (5 ± 7.68) / 14 - 1
What is mean by Matrix invertibility?An Invertible Matrix is a square matrix defined as invertible if the product of the matrix and its inverse is the identity matrix.
Given that;
B be a 2 ×2 matrix such that;
⇒ 7B² −5B + 3I = 0
Now,
Since, B be a 2 ×2 matrix.
And, The expression is,
⇒ 7B² −5B + 3I = 0
⇒ B² −5/7B + 3I/7 = 0
Multiply by B⁻¹, we get;
⇒ B - 5/7 + 3B⁻¹ = 0
Solve for B⁻¹;
⇒ 3B⁻¹ = - B + 5/7
⇒ B⁻¹ = - B/3 + 5/21
Thus, The matrix B is invertible.
And, The eigen value of B are;
⇒ 7B² −5B + 3I = 0
⇒ 7B² −5B + 3I = 0
⇒ B = - (-5) ± √(-5)² - 4×7×3 / 2×7
⇒ B = 5 ± √25 - 84/14
⇒ B = 5 ± √- 59 / 14
⇒ B = 5 ± 7.68 i / 14
⇒ B - 1 = (5 ± 7.68) / 14 - 1
Thus, Matrix B is invertible.
The eigenvalues of B−1 are = (5 ± 7.68) / 14 - 1
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Components inside a computer such as CPU and motherboard are all examples of _____. software hardware
Answer:
it's hardware.
.
hope I helped!
whats is 25.00-16.32
Answer:
8.68
Step-by-step explanation:
when you minus the two u get 8.68
:)
brainliest? i answered first :) and i only need one more
Answer:
It is 8.68. I hope i helped! Please give brainiest im almost leveled up!
Step-by-step explanation:
find the area of the figure
Check the picture below.
so the figure is really a 6x21 rectangle, a 2x2 square, and a couple of quarter of a circle whose radius is 2, now, if put two quarters together, we get half, so both of those quarter circles add up to just a semi-circle with a radius of 2.
\(\stackrel{\textit{\huge Areas}}{\stackrel{rectangle}{(6)(21)}~~ + ~~\stackrel{square}{(2)(2)}~~ + ~~\stackrel{two~\frac{1}{4}~circle}{\cfrac{1}{2}\pi (2)^2}}\implies 126+4+2\pi \implies 130+2\pi\)
PLEASE HELP!!! ILL GIVE BRAINLIEST !! Which is the correct answer ? 100 POINTS !! EXPLAIN.
Answer:
the correct answer would be B
Answer:
B
Step-by-step explanation:
I just did this problem
The sides of a triangle have lengths 2, 3, and 4. The perimeter of a similar triangle is 36. Find the length of the longest side of the larger triangle.
Answer:
The longest side of the larger triangle has a length of 16.
Step-by-step explanation:
The 2,3,4 triangle has a perimeter of 9. Which means the larger triangle is 4 times larger. That means the sides would be 8,12,16.
Create an equivalent expression for 1.4 cubed over 1.2 raised to the fourth power all raised to the power of negative six.
Answer:
Step-by-step explanationuuh soo I don’t understand this app:
please answer!! will give brainliest!
A. average, mode
B. average, mean
C. average,average
D. mode,median
Answer:
average mean not sure please
Below is a graph of the savings account table
1. What does the point (10,125) mean on the savings account card
2. Write an equation for this graph and Y equals KX form
(Giveing Brainly and worth 50 points!!!!)
Help out please
Answer:
10 months of savings gets you $125
y=12.5x x=months 12.5=amount for one month y is a total over a certain amount of months
Step-by-step explanation:
Hope this helped.
A brainliest is always appreciated.
Here
x=monthsy=Amount saved#1
(10,125)
Months=10Savings=125#2
Take 2 points
(0,0)(10,125)\(\\ \rm\rightarrowtail m=\dfrac{125}{10}=25/2\)
Equation in point slope form
\(\\ \rm\rightarrowtail y=25/2(x)\)
\(\\ \rm\rightarrowtail 2y=25x\)
tickets for a concert have been in increadbibly high demand. and as the date for the concert draws closer the price of tickets increases exponentially. the cost of a pair of concert tickets was $96 yesterday and today it is $108.
what is the multiplier
what is the daily percent rate?
using the cost of a ticket today as your initial value write an exponential equation that models this situation
what will be the cost of a pair of concert tickets in one week from today
what was the cost of a pair of tickets three days ago?
Answer:
multiplier 1.125percent rate 12.5%p(t) = 108·1.125^tp(7) = $246.32p(-3) = $75.85Step-by-step explanation:
a) The daily multiplier is 108/96 = 1.125
b) The daily percentage change is 1.125 -1 = .125 = 12.5%
c) The function can be written as ...
price = (initial value)·(daily multiplier)^t
p = 108·1.125^t
d) for t=7, put the number in and do the arithmetic.
108·1.125^7 ≈ 246.32 . . . dollar cost in a week
e) same deal, for t=-3
108·1.125^-3 ≈ 75.85 . . . .dollar cost 3 days ago
Rewrite h(x)=x^2-2x-4/x-4in an equivalent form showing the remainder As a fraction
The equivalent form of the function showing the remainder as a fraction is: h(x) = (x - 6) + 4 / (x - 4)
What is Algebraic expression ?
Algebraic expression can be defined as combination of variables and constants.
The given function is:
h(x) = (x^2 - 2x - 4) / (x - 4)
To rewrite this function in an equivalent form showing the remainder as a fraction, we can use polynomial division.
Let's divide x^2 - 2x - 4 by x - 4:
x - 6
--------------------
x - 4 | x^2 - 2x - 4
- (x^2 - 4x)
-------------
2x - 4
- (2x - 8)
---------
4
Therefore, we can write:
h(x) = (x^2 - 2x - 4) / (x - 4) = (x - 6) + 4 / (x - 4)
Therefore, the equivalent form of the function showing the remainder as a fraction is: h(x) = (x - 6) + 4 / (x - 4)
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Enter your answer and show all the steps that you use to solve this problem in the space provided.
Find the product and explain the process and reasoning.
0.67 x 0.3 =
Answer: 0.201
Step-by-step explanation:(0.67)(0.3)
0.201 The main point to focus on when multiplying decimals is to just treat the decimals normally, as if they were whole numbers by ignoring the decimal points and multiply them together. Then put the decimal point in the answer.