Answer:
In standard form 7.4 × 10^-2
Step-by-step explanation:
Answer:
7.4×10^-2
Step-by-step explanation:
Firstly, to convert 0.074 to standard form you will bring the first significant figure and make it the first I.e 7.4 then count how many times you took it backwards to make it 7.4 then put a negative sign in front of it because you took it backwards
why would we use m^3 instead of cm^3 to describe the volume of a room?
Answer:
29
Step-by-step explanation:
firat 4 78374748383838
Convert 20 mi/hour to feet per second (5280 feet = 1 mile)
Answer:
d'accord est-ce moi ou pas la même chose que j'ai fait
Answer:
29.33333... feet per second
Step-by-step explanation:
20×5280=105600 Because 1 mi=5280ft, you multiply 20 by 5280
105600÷60=1760 You divide 105600 by 60 because there are 60 minutes in an hour
1760 ÷ 60 You divide it by 60 again because there are 60 seconds in a minute
Your answer is 29.33333...
Investing $10,000 in a savings account at 5% annual interest compounded semiannually will result in approximately how much money after 10 years?
PLEASE HELP GEOMETRY HIGH SCHOOL
Select all the statements about the diagram that you cannot conclude.
The statements about the diagram that can be concluded, includes;
[tex] \overleftrightarrow{AB}[/tex] intersects [tex] \overleftrightarrow{CD}[/tex][tex] \overleftrightarrow{HC} \perp \overleftrightarrow{ CD}[/tex][tex] \overleftrightarrow{FA} \perp \overleftrightarrow{ CD}[/tex]How can the statements that cannot be concluded be found?The first statement that cannot be concluded is the option;
[tex] \overleftrightarrow{AB}[/tex]
intersects [tex]\overleftrightarrow{CD}[/tex]
[tex] \overleftrightarrow{AB}[/tex] is on plane T, [tex]\overleftrightarrow{CD}[/tex] is on plane S
[tex]\overleftrightarrow{AB}[/tex] is offset from [tex]\overleftrightarrow{CD}[/tex] by [tex] \overline{BC}[/tex]
Therefore;
[tex]\overleftrightarrow{AB}[/tex] cannot intersect [tex]\overleftrightarrow{CD}[/tex]
The second statement that cannot be concluded is the option;
[tex] \overleftrightarrow{HC} \perp \overleftrightarrow{ CD}[/tex]
The angle [tex] \angle {DCH} [/tex] appears more to be obtuse than 90° such that [tex] \overleftrightarrow{HC} [/tex] cannot be [tex] \perp [/tex] to [tex]\overleftrightarrow{ CD}[/tex]
The third statement that cannot be concluded is the option;
[tex] \overleftrightarrow{FA} \perp \overleftrightarrow{ CD}[/tex]
The reason the above statement cannot be concluded is that [tex] \overleftrightarrow{FA} [/tex] and [tex] \overleftrightarrow{ CD}[/tex] are lines that do not intersect.
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Jacob is playing miniature golf. He states that he cannot hit the ball from the start, bounce it off the back wall once, and reach the hole in one shot. Is Jacob correct? Label the diagram to support your answer.
Jacob is playing miniature golf, then the ball is can not reach the hole in one shot, so Jacob is correct.
Jacob is playing miniature golf.
He states that he cannot hit the ball from the start.
Bounce it off the back wall once
And reach the hole in one shot.
So, we can write,
The ball is need to bounce off the back wall once.
The ball is can not reach the hole in one shot.
Jacob is correct.
It is not possible to hit the ball from the start,
Bounce it off the back wall once,
And reach the hole in one shot.
Therefore, Jacob is playing miniature golf, Then the Jacob is correct.
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Judah worked at the bakery for 14 hours last week. He spent $15 of his earnings on a cake for his father's birthday. If he was left with $156.92 after buying
the cake, what is Judah's hourly wage?
per hour
Answer:
Judah's hourly wage is $7/hr.
Step-by-step explanation:
x=(86+12)/14
x=98/14
x=7
6(6) ÷ (2 · 9) in order of operation
Answer:
2
Step-by-step explanation:
6(6) ÷ ( 2 x 9)
= 36 ÷ 18
=2
Tip:
Use BODMAS whenever order of operations question is there
Bracket
Orders (power, roots, indices)
Division
Multiplication
Addition
Subtraction
Find the inverse of each function. Is the inverse a function? f(x)=√x+3-4
The inverse of the function is x²+8x+13
In mathematics, an inverse function is a arithmetic operator that "reverses" another function: if the function f applied to an input x gives a result of y, then applying its inverse function g to y provides the result x, and contrariwise, i.e., f(x) = y if and only if g = x.
To get the inverse of any function f(x) [ just make sure that it passes the horizontal line test] follow the steps:- Solve for x, i.e separate x in one side and the other terms in the other side, included f(x).-
Swap x and f(x).-
The result is the inverse of the original function .
y=√x+3-4
y+4=√x+3
on squaring with sides we get
y²+16+8y=x+3
y²+8y+13=x
swapping x And y we get y=x²+8x+13
f inverse x =x²+8x+13
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2) f(x)=-3x² + 3x
g(x)=2x+5
Find f(-4) divided by g(-4)
Answer: 20
Step-by-step explanation:
The function d(t) = 186,000t gives the distance d(t), in miles, that light travels in t seconds.
How far does light travel in 30 seconds?
11 + 3р — 7 = бр + 5 — 3р
Answer:
No solution, or empty set.
Step-by-step explanation:
If you solve this for p you will get 4 = 5, which is false. Therefore there is no solution to this equation.
Find the value of x. PLEASE HELP
Subject: Proportions in Similar Triangles
Answer:
X=7
Step-by-step explanation:
use concept of similarity proportion between big and small triangle enclosed into it
the plot below represents the function f(x) evaluate f(1) = solve f(x)=1
Check the picture below.
Can some help me please
What is the rational expression in simplest form? State any restrictions on the variables.
b. x² + 2 x-8 / x²-5 x+6
The required simplification of rational expression is (4 + x) / (x - 3).
What is a rational number?
Any real number that can be represented in the form of p/q, where q is not equal to 0 is called a rational number. The decimal expansion of rational numbers is terminating and repeating.
Simplifying the rational expression: x² + 2x - 8 / x² - 5x + 6
Given a rational expression,
x² + 2x - 8 / x² - 5x + 6
On simplifying, we get,
For numerator, x² + 2x - 8: (x - 2)(x + 4)
For denominator, x² - 5x + 6: (x - 2)(x - 3)
Now, x² + 2x - 8 / x² - 5x + 6 = (x - 2)(4 + x) / (x - 2)(x - 3)
= (4 + x) / (x - 3)
Restriction is that the denominator, x - 3 should not be 0.
Hence, the required simplification of rational expression is (4 + x) / (x - 3)
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A store pays $ 46 for a calculator. The store marks up the price by 10%. What is the new price.
pls help w this pretty urgent
Answer:
[tex]\begin{aligned} \textsf{a)} \quad & \textsf{Position function}: \quad s(t) = -16t^2+1362 \\ & \textsf{Velocity function}: \quad v(t) = -32t\end{aligned}[/tex]
[tex]\textsf{b)} \quad \overline{v}=-48\:\: \sf ft/s[/tex]
[tex]\begin{aligned}\textsf{c)} \quad v(1) & = -32\:\: \sf ft/s\\ v(2) & = -64\:\: \sf ft/s\end{aligned}[/tex]
[tex]\textsf{d)} \quad t = 9.226\:\: \sf s \:\: (3\: d.p.)[/tex]
[tex]\textsf{e)} \quad v = -292.242\:\: \sf ft/s \:\: (3\: d.p.)[/tex]
Step-by-step explanation:
Given:
[tex]s(t)=-16t^2+v_0t+s_0[/tex]
Part (a)If v₀ is the initial velocity, and s₀ is the initial position:
[tex]\implies v_0=0[/tex]
[tex]\implies s_0=1362[/tex]
Therefore:
[tex]\begin{aligned}\textsf{Position function}: \quad s(t) & =-16t^2+0+1362\\ \implies s(t) & = -16t^2+1362 \end{aligned}[/tex]
[tex]\begin{aligned}\textsf{Velocity function}: \quad v(t)&=s\:'(t)\\ \implies v(t) &=-32t\end{aligned}[/tex]
Part (b)Average velocity is the change in displacement divided by the change in time:
[tex]\overline{v}=\dfrac{s(t_2)-s(t_1)}{t_2-t_1}[/tex]
Given interval: 1 ≤ t ≤ 2
[tex]\implies t_1=1[/tex]
[tex]\implies t_2=2[/tex]
Find the values of s(t) at t = 1 and t = 2:
[tex]\implies s(1)=-16(1)^2+1362=1346[/tex]
[tex]\implies s(2)=-16(2)^2+1362=1298[/tex]
Substitute the values into the formula:
[tex]\overline{v}=\dfrac{s(2)-s(1)}{2-1}=\dfrac{1298-1346}{2-1}=-48\:\: \sf ft/s[/tex]
Part (c)To find the velocity at t = 1 and t = 2, substitute these values into the velocity function found in part (a):
[tex]\implies v(1)=-32(1)=-32\:\: \sf ft/s[/tex]
[tex]\implies v(2)=-32(2)=-64\:\: \sf ft/s[/tex]
Part (d)The time required for the coin to reach ground level is when s(t) = 0:
[tex]\begin{aligned}s(t) & = 0\\-16t^2+1362 & = 0\\16t^2 & = 1362\\t^2 & = 85.125\\t & = \sqrt{85.125}\\t & = 9.226\: \sf s\:\:(3\:d.p.)\end{aligned}[/tex]
Part (e)To find the velocity of the coin at impact with the ground, substitute the found value of t from part (d) into the equation for velocity found in part (a):
[tex]\begin{aligned}v(t) & = -32t\\\implies v(\sqrt{85.125}) & = -32(\sqrt{85.125})\\ v & =-295.242\:\: \sf ft/s\:\:(3\:d.p.)\end{aligned}[/tex]
Note: I have used the non-rounded value of t from part (d) for accuracy.
Help I shall need to thou problem.
Answer: I got 48
Step-by-step explanation: to find the length of the larger square, 4+2+2=8, 8x10=80, plus the smaller squares on each side equal to (4x2)x2=16, and 80+16=96. 1/2 of 96 is 48
I hope this helps you! (☞゚ヮ゚)☞
Answer:
The correct answer is 48.
Step-by-step explanation:
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Find the value of x to the nearest tenth.
Answer:
[tex]x = 2[/tex]
Step-by-step explanation:
Using the pythagorean theorem in the right triangle:
[tex]1^2 + 2^2 = c^2\\1 + 4 = c^2\\c = \sqrt5[/tex]
Using the pythagorean theorem in the left triangle:
[tex]x^2 + (\sqrt5)^2 = 3^2\\x^2 + 5 = 9\\x^2 = 4\\x = 2[/tex]
4. Which of the following are NOT undefined terms in Euclidean Geometry?
1. point
II. segment
III. line
IV. angle
Answer: The answers are ll and lll.
-36-2(w+77)>-4(2w+52)
Find the least integer greater than each number. Do not use a calculator.
log₃38
The least integer greater than each number for log₃38 = 4
All whole numbers and negative numbers are considered integers. This means that if we combine negative numbers with whole numbers, a collection of integers results.
Let y = log₃38
We know, logₐ x = y, only if [tex]a^{y}[/tex]= x
Therefore, [tex]3^{y}[/tex] = 38
So, we must find an integer y such that [tex]3^{y}[/tex] = 38
[tex]3^{y}[/tex] = 38
(As, 3³ = 27; 3⁴ = 81)
(Since, 3³ = 27 and 3⁴ = 81, the answer will be 3⁴ as 3⁴ > log₃38)
In this case, y = 4 will be the least integer greater than each number to satisfy this equation.
Therefore, the ultimate answer to the equation is log₃38 = 4
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4 teenagers who work at the same rate clean a house in 6 hour how long does it take for 3 boys
Time taken by 3 boys to clean a house is 8 hours.
What is Division method?
Division method is used to distributing a group of things into equal parts.
Now, Time taken by 4 teenagers to clean a house = 6 hours
So, Time taken by 1 boy to clean a house = 4 * 6 = 24 hours
Hence, Time taken by 3 boys to clean a house = 24 ÷ 3
= 8 hours.
Therefore, Time taken by 3 boys to clean a house is 8 hours.
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Answer: 8 hours
Step-by-step explanation:
I also do rsm
What is the solution? √x+11=4
Let f(x)=7 x+5 and g(x)=x² . Perform each function operation and then find the domain of the result.
(f+g)(x)
Function operations are the rules we use to solve functions. There is a specific way to deal with function addition, multiplication, and division.
x² + 7x + 5 is the domain of all real numbers.
What is meant by function operation?Function operations are the rules we use to solve functions. There is a specific way to deal with function addition, multiplication, and division.
Let the two functions be f and g then f(x) = 7x + 5 and g(x) = x².
we have to calculate (f + g)(x)
Which is equivalent to:
(f + g)(x) = f(x) + g(x)
Taking the two functions and substituting them into this expression, we get,
f(x) + g(x) = (7x + 5) + (x²)
simplifying the above function, we get
f(x) + g(x) = x² + 7x + 5
Therefore, (f + g)(x) = x² + 7x + 5.
We must also determine the domain of the new function. However, because this is a second-order function with no denominators, logarithms, or roots, there are no restrictions on the value of x; thus, the domain is all real numbers.
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What is each expression written as a single natural logarithm?
(b) 3 ln x-2 ln 2 x
Expression written as a single natural logarithm 3 ln x-2 ln 2 x is [tex]ln(x^{} )[/tex] .
What is natural logarithm?3 ln x-2 ln 2 x is
= [tex]ln x^{3} - lnx^{2}[/tex]
= [tex]ln(x^{3} /x^{2} )[/tex]
=[tex]ln(x^{} )[/tex]
The inverse of an exponential function, the natural log is the logarithm to the base of the number e. Natural logarithms are unique varieties of logarithms that are employed in the treatment of time and growth-related issues.
The distinction between log and ln is that log is expressed in terms of base 10, while ln is expressed in terms of base e. As an illustration, log of base 2 is denoted by log2 and log of base e by loge = ln (natural log).
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The perimeter P of a triangle is equal to the sum of the lengths of sides AB and C
Answer:
P = a + b + c
Step-by-step explanation:
A triangle has 3 sides. Perimeter is the measurement of the length around a shape. If you add sides A, B, and C, you will get the perimeter. You can also find a missing side by subtracting two known sides of the triangle if you know the perimeter.
!!!!Please help!!! I am dying!!
Answer:
Therefore (x,y)=(3,7)
Step-by-step explanation:
put the second equation into the first
x+4=3x-2
x-3x=-2-4
-2x=-6
x=3
plug x=3 into the second equation
y=3+4=7
PLEASEEEE HELP ME PLEASEEE AM STRUGGLING
What is 0.34 times 0.02
Answer:
0.0068
Step-by-step explanation:
i had this question