[tex]\\ \sf\longmapsto 0.0000000015[/tex]
[tex]\\ \sf\longmapsto 0.0015\times 10^{-6}s[/tex]
[tex]\\ \sf\longmapsto 0.015\times 10^{-7}s[/tex]
[tex]\\ \sf\longmapsto 0.15\times 10^{-8}s[/tex]
[tex]\\ \sf\longmapsto 1.5\times 10^{-9}s[/tex]
Answer: 0.0000000015 = 1.5 × 10⁻⁹
Concept:
When converting an integer to scientific notation:
- If the number is ≥1, then count the moves of the decimal point to the right until the number is 0<number<10. The number of moves will be the exponent that is positive.
- For example: If converting 300, since there are two moves until it is left with 0<3<10. Thus, the scientific notation will be 3 × 10²
- If the number is <1, then count the moves of the decimal point to the left until the number is 0<number<10. The number of moves will be the exponent that is negative.
- For example: If converting 0.004, since there are three moves until it is left with 0<4<10. Thus, the scientific notation will be 4 × 10⁻³
Solve:
0.0000000015
The decimal point needs to move 9 times to the left to get a number that is between 0 and 10. The number is 1.5.
Thus, the scientific notion of 0.0000000015 will be 1.5 × 10⁻⁹
Hope this helps!! :)
Please let me know if you have any questions
If a right circular cone has radius 4 cm and slant height 5cm then what is its volume?
Answer:
V≈50.27cm³
Step-by-step explanation:
Using the formulas
V=πr2h
3
l=r2+h2
Solving forV
V=1
3πr2l2﹣r2=1
3·π·42·52﹣42≈50.26548cm³
plz hep me to prove the following relations:
Step-by-step explanation:
[taking alpha = a]
L.H.S.
(1-sin⁴a)/cos⁴a
= 1/cos⁴a-sin⁴a/cos⁴a
= sec⁴a-tan⁴a
= (sec²a+tan²a)(sec²a-tan²a)
= (1+tan²a+tan²)(1) [as sec²a=1+tan²a]
= 1+2tan²a
= R.H.S. [Proved]
Eleanor scores 680 on the mathematics part of the SAT. The distribution of SAT math scores in recent years has been Normal with mean 527 and standard deviation 118.
Gerald takes the ACT Assessment mathematics test and scores 27. ACT math scores are Normally distributed with mean 20 and standard deviation 3.
1. What is Elanor's standardized score?
Round to 2 decimal places.
3. What is Gerald's standardized score?
Round to 2 decimal places.
4. Assuming that both tests measure the same kind of ability, who has the higher score?
i. Gerald.
ii. Elanor.
iii. They both did equally well.
Answer:
1. Elanor's standardized score is 1.19
2. Gerald's standardized score is 0.72
3. Elanor has higher score.
Step-by-step explanation:
To compare Elanor's and Gerald's math scores, we need to standardize them and calculate their z-scores.
z score can be calculated using the formula
z=X-M over 8 where
X is the student's score
M is the mean score of the exam
s is the standard deviation of the exam
Elanor's standardized score is:
z(e) =680-554 over 106 ≈ 1.19
Gerald's standardized score is:
z(g)= 27 - 24.7 over 3.2 ≈ 0.72
Since z(e) > z(g), Elanor has higher score
4. A Pelican was flying 3 feet above sea level, when it dove to catch a fish that was 2 feet below sea level. How far did the pelican dive?
Answer: The pelican dove 5ft
Step-by-step explanation:
Pelican = 3ft
Fish = -2ft
Went down 3ft to get to 0, went down 2 more feet to get the fish.
The height of an object dropped from the top of a 144-foot building is given by ℎ(. How long will it take the object to hit the ground?)=―162+144
Answer:
Step-by-step explanation: h(t) = -16t2 + 144
h(1) = -16(12) + 144 = 128 ft
h(2) = -16(22) + 144 = 80 ft
h(2) - h(1) = 80 - 128 = -48 ft
It fell 48 ft between t = 1 and t = 2 seconds.
It reaches the ground when h(t) = 0
0 = -16t2 + 144
t = √(144/16) s = 3s
It reaches the ground 3s after being dropped.
5 increased by the product of -3 and a
number x
in algebraic expression
Answer:
5+(-3x)
Step-by-step explanation:
"5 increased by" means you are going to be adding 5 to something.
"product of -3 and x" means that you multiply -3 by x, creating (-3x)
The given statement "5 increased by the product of -3 and a number x" as an algebraic expression can be written as -3x+5.
What is an Expression?In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.
The given statement "5 increased by the product of -3 and a number x" as an algebraic expression can be written as,
Product of -3 and a number x⇒ -3 × x = -3x
Product increased by 5,⇒ -3x + 5
Hence, the given statement "5 increased by the product of -3 and a number x" as an algebraic expression can be written as -3x+5.
Learn more about Expression here:
https://brainly.com/question/13947055
#SPJ2
giving brainliest to whoever finishes this correctly! :)
May someone help with this one problem?
Answer:
x = -1/2
Step-by-step explanation:
We are given:
[tex]\frac{1}{3}=\frac{4x}{3}+1[/tex]
Subtract 1 on both sides:
[tex]-\frac{2}{3}=\frac{4x}{3}[/tex]
Then, multiply 3 on both sides:
[tex]-2=4x[/tex]
Finally, divide 4 on both sides:
[tex]-\frac{1}{2}=x[/tex]
Find the value of
[tex] {z}^9{ \times {z}^10 = {z}^x [/tex]
Step-by-step explanation:
Just use the Law of Indices.
If a line has a slope of -2 and goes through the point (1, -3), then the equation for the line in slope-intercept form is what?
Answer:
y = -2x - 1
Step-by-step explanation:
Plug in the slope and given point into slope intercept form, y = mx + b, and solve for b:
y = mx + b
-3 = -2(1) + b
-3 = -2 + b
-1 = b
Plug in the slope and y intercept into y = mx + b:
y = mx + b
y = -2x - 1
So, the equation of the line is y = -2x - 1
A slide is also called a translation.
ird
True
O False
Answer:
trueeeee
Step-by-step explanation:
Slide (translation) -- a transformation that slides a figure a given distance in a given direction. A slide is also called a translation. Flip (reflection) -- a transformation creating a mirror image of a figure on the opposite side of a line. A flip is also called a reflecti
A quiz has 4 multiple-choice questions with 4 possible answer choices each. For each question, there is only 1 correct answer.
A student guesses each answer at random. What is the probability of getting exactly 3 questions correct, to the nearest percent?
(3 correct and 1 incorrect)
Answer:
5%
Step-by-step explanation:
so, for 3 questions he has a 1 in 4 chances to get it right.
4³ chances, so a 1/4³ probability.
and he has one other question with a 3 in 4 chance to get it wrong.
a 3/4 probability.
that is in total
1/4³ × 3/4 = 3/4⁴
and now we have 4 over 3 combinations as possibilities to get 3 right and 1 wrong.
that is 4! / (3! × (4-3)!) = 4
so our total probability is
4 × 3/4⁴ = 3/4³ = 3/64 ≈ 0.05 = 5%
in other words, the expected quote for him to achieve that result is in 5 out of 100 (or 1 out of 20) attempts.
4. Saul wants to cash a check for $715 at his bank. He has
$436 in his bank account. How much more money will
he need in his bank account to cash the check?
Answer:
he needs $279
Step-by-step explanation:
715-436= 279
Find sin0, csc0 and cot0 where 0 is the angle shown in the figure. Give exact values, not decimal approximations? Thank you in advance.
Answer:
sinθ = 125/356
cscθ = 356/128
cotθ = 8/3
Step-by-step explanation:
First, we must find the hypotenuse
8² + 3² = c²
64 + 9 = c²
73 = c²
Square root both sides
√73 = √c²
c = 8.544
Let's find sinθ
sinθ = opposite/hypotenuse = 3/8.544 = 125/356
cscθ is sinθ but flipped, so it is 8.544 = 356/128
cotθ is tanθ but also flipped, so it is 8/3
Read the following scenario, which is represented by a polynomial expression. Then answer the questions to interpret the parts of the expression in terms of the given context.
The volunteers at a high school football team’s concession stand are trying to decide on the price of the hot dogs they are selling. When they charge $2 for a hot dog, they sell an average of 70 hot dogs per game. With every $1 increase in the price, the number of hot dogs sold per game decreases by 8.
The volunteers can calculate the revenue earned from selling the hot dogs at each game using the expression -8x2 + 54x + 140, where x is the number of $1 increases in price.
Part A
What is the constant term in the polynomial expression, and what does it represent?
Answer:
x is the number of $1 increase in the price.
If there is no increase, then the total money earned is
2 × 70 = 140
If there is $1 increase, then the total money earned is
(2 + 1) × [70 - 8(1)]
If there is $2 increase, then the total money earned is
(2 + 2) × [70 - 8(2)]
If we continue the pattern, for x times $1 increase, total money earned is
(2 + x)(70 - 8x) = -8x^{2} +54x+140−8x2+54x+140
If we substitute x = 0 in the above equation, we will get
the total money earned = $140.
It means if there is no increase, then the total money earned = 140.
Hence, 140 is the constant term and it represents that there is no increase in price.
HELPPPPPPP PLZZZZ ASPPPPPP
Answer: Choice B
[tex](f * g)(x) = \frac{x^2+6x+8}{x^2+2x-15}, \ \text{ for } x \ne -5 \text{ and } x \ne 3\\\\[/tex]
=================================================
Work Shown:
[tex]h(x) = (f * g)(x)\\\\h(x) = f(x) * g(x)\\\\h(x) = \frac{x^2-16}{x^2+3x-10}*\frac{x^2-4}{x^2-7x+12}\\\\h(x) = \frac{(x-4)(x+4)}{(x+5)(x-2)}*\frac{(x-2)(x+2)}{(x-3)(x-4)}\\\\h(x) = \frac{x+4}{(x+5)(x-2)}*\frac{(x-2)(x+2)}{x-3} \ \ \text{ ... see note 1}\\\\h(x) = \frac{x+4}{x+5}*\frac{x+2}{x-3} \ \ \text{ ... see note 2}\\\\h(x) = \frac{(x+4)(x+2)}{(x+5)(x-3)}\\\\h(x) = \frac{x^2+6x+8}{x^2+2x-15}\\\\[/tex]
note 1: A pair of (x-4) terms canceled
note 2: A pair of (x-2) terms canceled
------------------------------
Extra info (optional section):
The fact that [tex]x \ne -5 \text{ and } x \ne 3[/tex] is to avoid a division by zero error in the simplified version of h(x).
I would argue that [tex]x \ne 2 \text{ and } x \ne 4[/tex] should be thrown in as well simply so that the domains match up perfectly with the original f(x) and g(x) functions.
So I think the full domain should be that x is any real number but
[tex]x \ne -5 \text{ and } x \ne 2\\x \ne 3 \text{ and } x \ne 4[/tex]
Put another way: if x = 2 is allowed in h(x), then that clashes with the fact that it's not allowed in f(x). The same idea happens with x = 4 but with g(x) this time. It's possible your teacher glossed this fact over, or ran out of room.
find the measure of b
========================================================
Explanation:
Let's add angle c to the diagram such that it's adjacent to angle b, and inside the quadrilateral. Notice how angle c is opposite the 100 degree angle of this inscribed quadrilateral.
For any inscribed quadrilateral, the opposite angles are supplementary
c+100 = 180
c = 180-100
c = 80
Angles b and c are supplementary as well, because they form a straight line.
b+c = 180
b+80 = 180
b = 180-80
b = 100
In short, angle b is the same measure as that 100 degree angle in the diagram.
Step-by-step explanation:
Hi there!
From the above figure;
Let "x" be an unknown angle.
Then;
100° + X = 180°. { The opposite angles of cyclic quadrilateral is supplementary}
X = 180°-100°
Therefore, X= 80°.
Now;
X+b = 180°. {linear pair}
80° + b = 180°
Therefore, b = 100°.
[Next method:
b = 100° {When any side of cyclicquadrilateral is extended the external angle is equal to opposite interior angle.]
Hope it helps.
Find the root of 11+2square30
[tex]\\ \sf\longmapsto \sqrt{11+2^230}[/tex]
[tex]\\ \sf\longmapsto \sqrt{11+4(30)}[/tex]
[tex]\\ \sf\longmapsto \sqrt{11+120}[/tex]
[tex]\\ \sf\longmapsto \sqrt{131}[/tex]
[tex]\\ \sf\longmapsto 11.3[/tex]
Need the help thanks guys
Answer:
1/4
Step-by-step explanation:
x^2 - x
Take the coefficient of x
-1
Divide by 2
-1/2
Square it
(-1/2)^2 = 1/4
Add it
x^2 -x +1/4
Question 17 and 18 plz show ALL STEPS and HELP ME ASAP
Answer:
17) 750/9 and 18) 364
Step-by-step explanation:
17. Summation of 75*(0.1)^i from i=0 to infinity, that is equal to 75*(Summation of (0.1)^i). Summation of (0.1)^I is a geometric series with a sum of 1/(0.9)=10/9. Hence the series have a sum equal to 75*(10/9)=750/9
18) It's a series with sum=1+3+9+27+81+243=364
The seventh-grade class is raising money
to have a class trip at the end of the year.
They began the year with $1,500. Now they
have $1,650 in the account.
What is the percent of increase for the
money the class has raised? I
a.
b.
Make Sense and Persevere The
class figured out that if the percent
increase is 99% from the beginning of
the year, the class will have enough
money for every student to go on the
field trip. How much money will the
class need to raise for every student to
go.
Answer:
The percent of the increase for the money the class raised is 10 %
Step-by-step explanation:
Because if you divide 1500 by 10 you get 150 that means 150 is 10 % of 1500 and if you add 150 to 1500 you get 1650 so the increase of money the class raised is 10 %
The legend on a map states that 1 inch is 20 miles. If you measure 5 inches on the map, how many miles would the actual distance be? Actual distance = [ ? ] miles
Answer:
1 inch= 20 miles. 5*20=100 miles. The answer is 100 miles.
Step-by-step explanation:
On these types of questions just do that every time, then you don't need to ask, for example:
1 foot = 50 miles
If it measures 3 feet.
3*50=150 miles.
If you have any questions regarding my answer, tell me in the comments, and I will answer them.
look at the image below
Answer:
117.8
Step-by-step explanation:
Surface area = πr²+πrl (whee r = radius and l = slant height)
= π×3²+π×3×9.5
= 75π/2
= 117.8
Basketball A basketball player makes 8 of 12 free throws
in the first game of the season. If she shoots with the same
accuracy in the second game, how many of the 15 free
throws she attempts will she make?
Solve for h.
H+6/4= 5
Steven’s basketball team won 5 out of their first 12 games. If they continue to win at this rate, how many games will they lose if they play 49 games?
Answer:
29 losses in 49 games.
Step-by-step explanation:
The number of games that they lost in the first 12 = 12 - 5 = 7
7/12 = x / 49 Multiply both sides by 49
7*49 / 12 = x
x = 343/12
x = 28.5833
What do you do with the 0.5833? I would say round up to 29.
If a person invested half of her money at 9% and half at 7% and received $160 interest, find the total amount of money invested.
Answer:
$2000
Step-by-step explanation:
let x be the money she invested
lets assume this was for 1 year
0.09(x/2) + 0.07(x/2) = 160
multiply each side by 2 to cancel the denominators:
0.09x + 0.07x = 320
0.16x = 320
x = 2000
Answer: $2000
Let the amount of money she invested be x
Lets assume the time of investment as 1 year
ATQ
0.09(x/2) + 0.07(x/2) = 160
0.09x + 0.07x = 320
0.16x = 320
x = 2000
Must click thanks and mark brainliest
In how many years will the compound amount on Ås 1250 beR 1,458 at 8%
Answer:
rate of interest per annum 8% step by step
Step-by-step explanation:
C.i is 1458 - 1250 = 208
there fore C.i = p [ C1 +r / 100 ) ^2_ 1
hope this help u
SOVE, REDUCE TO LOWEST TEERMS SIMPLIFY IMPROPER FRACTIONSAS MIXED FRACTIONS
What does the equation tell you about the type of number x must be for the sum to be rational? What conclusion can you now make about the result of adding a rational and an irrational number?
Please help!! I've been stuck on this for WEEKS!!
9514 1404 393
Answer:
x must be rational
Step-by-step explanation:
Assuming a, b, m, n are integers (with b, n not zero), the closure properties of the set of integers tell you that any product or sum of integers is also an integer. That means the difference of products bm-an is an integer, as is the product bn.
Then the value of x is a ratio of integers, so is rational.
The conclusion you can draw is that x must be rational if its sum with a rational number is also rational.
Answer:
x is a rational number
Step-by-step explanation:
