Answer:
16x-6
Step-by-step explanation:
well in order to do so
u have to multiply 2 to 8x to get 16x
and then, multiply the 2 to -3 to get -6
this is the distributive property form. and that's how u get ur answer
Use the rules of significant figures to answer the following question:
54.313 × 12.09
A. 657
B. 660
C. 656.64
D. 656.6
jason voorhes was buying hocky masks. 1 hockey mask cost 10 dollars how much does 10 masks it cost in all?
Answer:
$100
Step-by-step explanation:
since 1 hockey mask costs $10 and you need 10 masks you can multiply 10x10 and you will get 100
Find the unit tangent vector at the given value of t for the following parameterized curves.
r(t)= ⟨7–√e^t,3e^t,3e^t⟩
, for 0≤t≤1
; t=ln 2
Answer:
[tex]T(ln2)[/tex][tex]= <\sqrt{145} , \frac{6\sqrt{2} }{\sqrt{145} } , \frac{6\sqrt{2} }{\sqrt{145} } >[/tex]
Step-by-step explanation:
Given : [tex]r(t)=<7-\sqrt{e^t}, 3e^t,3e^t > .........(i)[/tex]
We first have to differentiate of equation [tex](i)[/tex]
[tex]r'(t) = < \frac{\sqrt{e^t} }{2} , 3e^t,3e^t> ..........(ii)[/tex]
Now to get a unit tangent vector at the given value of [tex]t[/tex], we put [tex]t = ln2[/tex] in equation [tex](ii)[/tex]
[tex]r'(ln2) = < \frac{\sqrt{e^{ln2}} }{2} , 3e^{ln2},3e^{ln2}>[/tex]
[tex]= <\frac{1}{\sqrt{2} } ,6,6>[/tex] [∵[tex]e^{lna}=a[/tex]]
Now to get a unit tangent vector , we will divide our vector [tex]r'(ln2)[/tex] by its magnitude. So let's first find the magnitude.
[tex]|r'(ln2)|=\sqrt{(\frac{1}{\sqrt{2} } )^2 +6^2+6^2}[/tex]
[tex]= \sqrt{\frac{1}{2}+36+36 }[/tex]
[tex]= \sqrt{\frac{145}{2} }[/tex]
Now we can find the our unit tangents vector.
[tex]T(ln2)=\frac{r'(ln2)}{|r'(ln2)|}[/tex]
[tex]= \frac{<\frac{1}{\sqrt{2}} ,6,6> }{\sqrt{\frac{145}{2}} }[/tex]
[tex]= <\frac{\frac{1}{\sqrt{2} } }{\sqrt{\frac{145}{2}} } ,\frac{6}{{\sqrt{\frac{145}{2}} }}, \frac{6}{{\sqrt{\frac{145}{2}} }} >[/tex]
[tex]= <\sqrt{145} , \frac{6\sqrt{2} }{\sqrt{145} } , \frac{6\sqrt{2} }{\sqrt{145} } >[/tex]
Hence, [tex]T(ln2)[/tex] [tex]= <\sqrt{145} , \frac{6\sqrt{2} }{\sqrt{145} } , \frac{6\sqrt{2} }{\sqrt{145} } >[/tex]
Please help!! Find the length of the radius of circle O.
Answer: 4.5 units
Step-by-step explanation:
OD and OC are both radii of the circle O. All radii of the same circle are equal. Thus,
[tex]6x+2=10x-16[/tex]
18=4x
x=4.5
Hope it helps :)
Delta Airlines' flights from Boston to Seattle are on time 70 % of the time. Suppose 6 flights are randomly selected, and the number on-time flights is recorded. 1.The probability that at least 4 flights are on time is
Answer:
P(at least 4) = 0.74431
Step-by-step explanation:
Here
Probability of the flights on time is = 70% = 70/100= 0.7
q= 0.3
n= 6
As the probability of success and failure is constant and the n is also fixed then the binomail probability distribution can be used to solve this.
P (x= 4) = 6c4 *(0.7)^4 (0.3)^2= 15*0.2401* 0.09= 0.324135
P (x= 5) = 6c5 *(0.7)^5(0.3)^1= 6*0.16807* 0.3=0.302526
P (x= 6) = 6c6 *(0.7)^6 (0.3)^0= 0.117649P
P (x= 0) = 6c0 *(0.7)^0 (0.3)^6= 0.000729
P (x= 1) = 6c1 *(0.7)^1 (0.3)^5=0.010206
P (x= 2) = 6c 2*(0.7)^2 (0.3)^4=0.059535
P (x= 3) = 6c3 *(0.7)^3 (0.3)^3=0.18522
Probability of at least 4 means that probability of greater than 4 inclusive of 4.
This can be obtained in two ways.
First is by subtracting the probabilities of less than 4.
Second is by adding probabilities greater than 4 including 4.
We get the same answer with any of the two methods used.
P(at least 4) = 1- P(x<4)
= 1- [ 0.000729+ 0.010206 +0.059535+ 0.18522]
= 1- 0.25569
= 0.74431
P (at least 4) = P(x=4) +P(X=5) + P(x=6)
=0.324135+ 0.302526+ 0.117649
=0.74431
For which line is the slope least?
5(-6 + 4)=..................
Answer:
-10
Step-by-step explanation:
5(-6 + 4)
=-30+20
=-10
Answer:
-10 or just 10 in general
Step-by-step explanation:
Let f(x) = 16 – x^2 , g(x) = 4 – x. Find (fg)(x) and its domain
Which pair of expressions is equivalent? 2(x + 5) and 2x + 10 B. 3x – 6 + 4x + 9 and 7x + 15 0. C. 4y - 2) and 4y - 2 0 D. 5y + 12 - 3y and 2y – 12
Answer:
A
Step-by-step explanation:
the equivalent pair of expression are 2(x+5)and 2x+10
In the rectangle, find the length of AD.
Answer:
required answer is 9 of your question
Solve the inequality -2/9b>-12
Answer:
1/2
Step-by-step explanation:
what is the answer pls i need help
Answer:
A because you have to mutiply 3 x 2 and it gives you 6
is the product of 18 negative numbers and 20 positive numbers a positive number or negative
Answer:
positive
Step-by-step explanation:
even negatives = positive
whatever positives = positive
positive*positive = positive
Evaluate functions from their graph f(-5)=
Answer:
7
Step-by-step explanation:
(-5,7) lies in the graph!
Eidoskaijsizjzkxkxdkjajjsjeksjsii
Answer:
Yes, Yes, No, Yes
Step-by-step explanation:
An integer can be positive, negative, or _____. opposite zero equivalent
Answer:
Zero is nor a positive or negative number, so im guessing the answer is 0.
Step-by-step explanation:
Suzi starts her hike at 275 feet below sea level. When she reaches the end of the hike, she is still below sea level at −135 feet. What was the change in elevation from the beginning of Suzi's hike to the end of the hike?
Answer:
Have a nice day!
Step-by-step explanation:
Answer:
140
Step-by-step explanation:
Hi there!
This problem may seem tricky because of the negative sea level, os let’s set up an equation.
[tex]-275+x=-135[/tex] where x = the change in elevation.
Using orders of operations, add 275 to both sides and you will end with
x = 140
Her change in elevation is 140 feet.
I hope this helps!
Which set of side lengths form a right triangle?
2 inches, 3 inches, 4 inches
6 inches, 8 inches, 10 inches
8 inches, 9 inches, 11 inches
10 inches, 12 inches, 13 inches
Answer:
It’s 10 inches, 12 inches, 13 inches
Step-by-step explanation:
what does 72 x ? = 300
Answer: 25/6
Step-by-step explanation:
Answer:
? = 4.1667
Step-by-step explanation:
300/72 = 4.1667
Hope this Helps! :)
Have any questions? Ask below in the comments and I will try my best to answer.
-SGO
Solve 2x + 2y = -28 2x - 2y = 26
Answer:
x=−y−14
Step-by-step explanation:
Answer:
x = none y = -27
Step-by-step explanation:
2x + 2y = -28 + 2x - 26
-2x -2x
__________________
2y = -28 - 26
2y = -54
y = -27
Twins Isaac and Isaiah were just born. Isaac weighs 6 pounds 2 ounces and Isaiah weighs 5 pounds 4 ounces. How many ounces do Isaac and Isaiah weigh together?
You are running a concession stand at a basketball game. You are selling hot dogs and
sodas.Each hot dog costs $1.50 and each soda costs $ 0.50. At the end of the night, you made a total of
$78.50. You sold a total of 87 hot dogs and sodas combined. You musſt report the number of hot dogs
sold and the number of sodas sold. How many hot dogs were sold and how many sodas were sold?
Answer: 52
Step-by-step explanation: Friend me and yes that is right!
Which graph represents the solution to the system of inequalities?
{y<−4x+1
{y≥−14x
Answer:
1st graph on line 2
Step-by-step explanation:
The diagram shows two squares constructed on the sides of a rectangle. Write an expression for the area of Square C in terms of the areas of Square A and Rectangle B. Then simplify to find the area. (N RN.1.1-2 HELP PLSSS
Step-by-step explanation:
Since area of Square A = 7 ft²,
Side length of Square A = √7 ft.
Length of Rectangle B = √7 ft
Width of Rectangle B = 4/√7 ft
Hence Area of Square C
= (4)² / (√7)² ft² = 16/7 ft².
The area of Square C is the square of the height of the Rectangle B.
Correct responses:
[tex]\underline{Area \ of \ square \ C = \dfrac{\left(Area \ of \ Rectangle \ B \right)^2}{Area \ of \ Square \, A} }[/tex][tex]Area \ of \ square \ C = \underline{\dfrac{16}{7}} \, ft.^2[/tex]Methods used for finding the area of Square CThe given area of square A = 7 ft.²
The given area of rectangle, B = 4 ft.²
Let s represent the side length of square C and let S represent the side length of square A, we have;
Area of rectangle B = S × s = S·s
Area of square A = S × S = S²
Area of square C = s × s = s²
[tex]\mathbf{\dfrac{(Area \ of \ rectangle \ B)^2}{Area \ of \ square \ A } } = \dfrac{\left(S \cdot s \right)^2}{S^2} = \dfrac{S^2 \cdot s^2}{S^2} = s^2 = Area \ of \ square \ C[/tex]
Therefore, the expression for the area of Square C in terms of the area
of Square A and Rectangle B is presented as follows;
[tex]\underline{Area \ of \ Square \ C = \dfrac{ \left (Area \ of \ rectangle \ B \right)^2}{\left(Area \ of \ square \ A\right)}}[/tex]Which gives;
[tex]\underline{Area \ of \ square \ C = \dfrac{\left(4 \, ft.^2 \right)^2}{7 \, ft.^2}}[/tex]By simplification, we have;
[tex]\mathbf{\dfrac{\left(4 \, ft.^2 \right)^2}{7 \, ft.^2}} = \dfrac{16}{4} \, ft.^2[/tex]
[tex]Area \ of \ square \ C = \underline{ \dfrac{16}{7}} \, ft.^2[/tex]Learn more about squares and rectangles here:
https://brainly.com/question/2288475
https://brainly.com/question/14044544
https://brainly.com/question/8428727
Which graph represents y = √ X
Explanation:
[tex]\displaystyle [9, 3] → 3 = \sqrt{9} \\ [4, 2] → 2 = \sqrt{4} \\ [1, 1] → 1 = \sqrt{1} \\ [0, 0] → 0 = \sqrt{0}[/tex]
**In this case, we want NON-NEGATIVE terms.
I am joyous to assist you at any time.
Which data sets have outliers? Check all that apply
14,21,24,25,27,32,35
15,30,35,41,44,50,78
16,32,38,39,41,42,58
17,23,28,31,39,45,75
18,30,34,38,43,45,68
Answer:
C.16, 32, 38, 39, 41, 42, 58
and
E.18, 30, 34, 38, 43, 45, 68
its C. & E.
they both have outliers lol
Factor the expression using the GCF. 44-11 I NEED HELP PLEASE!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
11(4-1)
Step-by-step explanation:
11 is the greatist common factor of 44 and 11 so you factor an 11 out of both terms
44/11=4
11/11=4
Therefore the answer is 11(4-1)
-4x + 12 = -6x
Step 1: Add 4x to both sides:
12 = -6x + 4x
Step 2: Combine like terms:
12 = -2x
uh- this is the correct way to answer the problem....
−4x+12=−6x
Step 1: Add 6x to both sides.
−4x+12+6x=−6x+6x
2x+12=0
Step 2: Subtract 12 from both sides.
2x+12−12=0−12
2x=−12
Step 3: Divide both sides by 2.
[tex]\frac{2x}{2}[/tex] = [tex]\frac{-12}{2}[/tex]
x=−6
Which equation represents the line that is parallel to y = 2 and passes through (-1,-6)?
Answer:
y=-6
Step-by-step explanation:
the line needs to be vertical to be parallel to y=2, and pass through (-1,-6)
Consider all four-digit numbers that can be made from the digits 0-9 (assume that numbers cannot start with 0). What is the probability of choosing a random number from this group that is less than or equal to 5000
Answer: 0.44
Step-by-step explanation:
First, let's count the total number of four-digit numbers.
Let's think it as four empty slots:
_ _ _ _
In each slot, we can put a single digit.
In the first slot, we have 9 options {1, 2, 3, 4, 5, 6, 7, 8, 9}
The zero is not an option here, because if there was a 0, this would be a 3 digit number, then the 0 can not be in the first slot.
For the second slot we have 10 options {0, 1, 2, 3, 4, 5, 6, 7, 8, 9}
for the third slot we have 10 options {0, 1, 2, 3, 4, 5, 6, 7, 8, 9}
for the fourth slot we have 10 options {0, 1, 2, 3, 4, 5, 6, 7, 8, 9}
The total number of combinations is equal to the product between the numbers of options for each slot, this means that we have:
Combinations = 9*10*10*10 = 9000
So there are 9000 different 4 digit numbers.
Now we want to find the probability of selecting a number at random that is equal or smaller than 5000.
Let's see the number of 4-digit numbers that are equal or smaller than 5000.
The smallest 4-digit number is 1000.
Then the number of numbers between 1000 and 5000 is:
5000 - 1000 = 4000
This means that there are 4000 4-digit numbers that are equal or smaller than 5000.
Now, the probability of selecting one of them at random is equal to the quotient between the number of 4-digit numbers that meet the condition (4000) and the total number of 4-digits (9000)
Then te probability is:
P = 4000/9000 = 4/9 = 0.44
T