Answer:
= −12
Step-by-step explanation:
Answer:a)-12
Step-by-step explanation:
4x-2(x+1)=3x+10
4x-2x-2=3x+10
2x-2=3x+10
Collect like terms
-2-10=3x-2x
-12=x(a)
Write this number in scientific notation 0.000000358
Step-by-step explanation:
0.000000358 written as scientific notation is
[tex]3.58 \times {10}^{ - 7} [/tex]
A 36-inch pipe is cut into two pieces. One piece is two times the length of the other. Find the length of the shorter piece.
Answer:
24
Step-by-step explanation:
the two times the cut into one
I need help with this question plzzz
Step-by-step explanation:
a refuse regular function tries to calculate a y value for a given x (input) value.
the inverse function turns this around and tries to calculate the x (input) value for a given y functional value.
e.g. when we know f(x) = 8, then what was the x value leading to this 8 fungible value ?
in order to turn this around, we solve the same functional equation for x instead of for y.
in our example here
f(x) = y = 3x -6
y + 6 = 3x
x = y/3 + 2
and now, to write the inverse function as normal function, we simply exchange the x and y names :
y = x/3 + 2
concert the following
i) 2 hour into second
ii) 8 km into meter
Step-by-step explanation:
1 hours = 60
1 m = 60 sec
so 2 × 60 × 60 = 7200 sec
1 km = 1000m
8 km= 8000m
Answer:
2 hours into seconds is 7200 seconds.
8 kilometers into meters is 8000 meters.
Step-by-step explanation:
To convert hours into seconds, multiply the number of hours by 3600.
To convert kilometers into meters, multiply the number of kilometers by 1000.
I need help with 12 13 and 14
Answer: Lines [tex]\frac{}{BC}[/tex] and [tex]\frac{}{EF}[/tex] are different lengths.
Step-by-step explanation:
The distance formula is [tex]\sqrt{(x_1-x_2) ^{2}+(y_1-y_2) ^{2} }[/tex], and you can use this formula to solve for the lengths of both lines [tex]\frac{}{BC}[/tex] and [tex]\frac{}{EF}[/tex].
For line [tex]\frac{}{BC}[/tex], let [tex]x_{1}[/tex] = the x at point B, or 1, and let [tex]x_{2}[/tex] = the x at point C, or 2.
Now, let [tex]y_{1}[/tex] = the y at point B, or 4, and let [tex]y_{2}[/tex] = the y at point C, or -1.
Now, solve the formula to find the length [tex]\frac{}{BC}[/tex] = [tex]\sqrt{(x_1-x_2) ^{2}+(y_1-y_2) ^{2} }\\[/tex].
[tex]\frac{}{BC}[/tex] = [tex]\sqrt{(1-2)^{2} +(4-(-1))^2[/tex]
[tex]\frac{}{BC}[/tex] = [tex]\sqrt{(-1)^{2} +(4+1)^2[/tex]
[tex]\frac{}{BC}[/tex] = [tex]\sqrt{1 +5^2[/tex]
[tex]\frac{}{BC}[/tex] = [tex]\sqrt{(1+25)[/tex]
[tex]\frac{}{BC}[/tex] = [tex]\sqrt{26} \\[/tex]
Now, for line [tex]\frac{}{EF}[/tex], let [tex]x_{1}[/tex] = the x at point E, or -4, and let [tex]x_{2}[/tex] = the x at point F, or -1.
Let [tex]y_{1}[/tex] = the y at point E, or -3, and let [tex]y_{2}[/tex] = the y at point F, or 1.
Now, solve the formula to find the length [tex]\frac{}{EF}[/tex] = [tex]\sqrt{(x_1-x_2) ^{2}+(y_1-y_2) ^{2} }\\[/tex].
[tex]\frac{}{EF}[/tex] = [tex]\sqrt{(-4-(-1))^{2} +(-3-1)^2[/tex]
[tex]\frac{}{EF}[/tex] = [tex]\sqrt{(-4+1)^{2} +(-4)^2[/tex]
[tex]\frac{}{EF}[/tex] = [tex]\sqrt{(-3)^2+16[/tex]
[tex]\frac{}{EF}[/tex] = [tex]\sqrt{(9+16)[/tex]
[tex]\frac{}{EF}[/tex] = [tex]\sqrt{25}[/tex]
[tex]\frac{}{EF}[/tex] = 5
Now, look back at [tex]\frac{}{BC}[/tex]. The two lines have different lengths, so you have now justified the fact that they are not the same.
Questions 13 and 14 would be solved in much the same way- but please let me know if you want me to show the work for those as well!
another riddle no cheating >:(
Three doctors said that Bill was their brother. Bill says he has no brothers. How many brothers does Bill actually have?
6 Σ n=1 n/2n + 1
Ignore the selected answer, I accidentally clicked, please help
Answer:
Answer is the second circle will explain later but the second circle the middle one
[tex]\begin{array}{l}\sum _{n=1}^{6}\frac{n}{2n+1} =\frac{1}{2\cdotp 1+1} +\frac{2}{2\cdotp 2+1} +\frac{3}{2\cdotp 3+1} +\frac{4}{2\cdotp 4+1} +\frac{5}{2\cdotp 5+1} +\frac{6}{2\cdotp 6+1}\\\\\sum _{n=1}^{6}\frac{n}{2n+1} =\frac{1}{3} +\frac{2}{5} +\frac{3}{7} +\frac{4}{9} +\frac{5}{11} +\frac{6}{13}\end{array}[/tex]
Make up a data set (n = 10) that has the same minimum value, same median, and same maximum value, but a larger IQR than the boxplot shown.
a. Give your 10 numbers.
b. Give the 5-number summary for your data.
c. Describe your strategy for figuring this out.
The 10 hypothetical numbers which meets the conditions given on the question may include :
1, 2, 3, 5, 6, 6, 7, 10, 10, 12
The five number summary include the maximum, minimum, lower quartile, Median and upper quartile of a distribution.
The five number summary of the hypothetical data are:
Median: 6
Minimum: 1
Maximum: 12
Lower quartile: 2.75
Upper quartile: 10
Comparing the 5 - number summary of the hypothetical data with that of the given boxplot.
From the given boxplot shown :
Minimum value = 1
Maximum value = 12
Median = 6
LOWER QUARTILE, Q1 = 4
UPPER QUARTILE, Q3 = 8
IQR = (Q3 - Q1) = 8 - 4 = 4
THE 10 made up numbers :
1, 2, 3, 5, 6, 6, 7, 10, 10, 12
The five number summary for the made up data :
Median = 1/2(n+1)th term = 5.5th term = (6+6)/2 = 6
Minimum: 1
Maximum: 12
First quartile = 1/4(n+1)th = 2.75th term = (2+3)/2 = 2.5
Third quartile: 3/4(n+1)th term = 8.25 = (10+10)/2 = 10
Interquartile Range: (10 - 2.5) = 7.5
The original data values and hypothetical data have the same minimum and maximum and median values. The hypothetical data has an higher IQR value than the original data.Learn more : https://brainly.com/question/12992903?referrer=searchResults
Any vector can be written as a unit vector multiplied by the magnitude of the vector (a positive scalar). Write each of the following vectors as the magnitude of the vector times the appropriate unit vector:
a. ( 0.00330, 0, -0.00330)
b. (0, -676, 0)
c. (0.00316, 0, -0.00316)
The correct magnitude of the vector times the appropriate unit vector of given vectors are given as follows:
a. <0.708, 0, -0.708> [tex]*4.66*10^{-3}[/tex]
b. <0, -1, 0>*676
c. [tex]\overrightarrow{C} = <0.707, 0, -0.707>*4.47*10^2[/tex]
The general vector can be represented as:
[tex]\underset{A}{\rightarrow}[/tex] = (a, b, c) ......1
the magnitude [tex]| \right\underset{A}{\rightarrow} |[/tex] can be obtained as :
[tex]| \right\underset{A}{\rightarrow} | = \sqrt{a^{2}+ b^{2} +c^{2} }[/tex] .....2
and unit vector would be:
[tex]\hat{u}_A=\dfrac{\overrightarrow{A}}{|\overrightarrow{A}|}[/tex].......3
Solution:
a) ( 0.00330, 0, -0.00330)
here,
[tex]\underset{A}{\rightarrow} = ( 0.00330, 0, -0.00330)[/tex]
applying this magnitude to equation two:
[tex]| \right\underset{A}{\rightarrow} | = \sqrt{0.00330^{2}+ 0^{2} +(-0.00330)^{2} }[/tex] = [tex]4.66*10^{-3}[/tex]
the unit vector would be:
[tex]\hat{u}_A=\dfrac{\overrightarrow{A}}{|\overrightarrow{A}|}[/tex]
[tex]\hat{u}_A= < \frac{0.00330}{4.66*10^{-3}}, \frac{0}{4.66*10^{-3}}, \frac{-0.00330}{4.66*10^{-3}}>[/tex]
[tex]\hat{u}_A= <708, 0, -708>[/tex]
Thus, the vector [tex]{\overrightarrow{A}[/tex] would be - <0.708, 0, -0.708> [tex]*4.66*10^{-3}[/tex]
B) (0, -676, 0)
Solving simailarly like A),
Vector [tex]| \right\underset{B}{\rightarrow} | = \sqrt{0^{2}+ -676^{2} +0^{2} }[/tex] = 676
the unit vector would be:
[tex]\hat{u}_B=\dfrac{\overrightarrow{B}}{|\overrightarrow{B}|}\\\hat{u}_B= < \frac{0}{676}, \frac{-676}{676}, \frac{0}{676}>[/tex]
Thus, the vector [tex]\overrightarrow{B}[/tex] = <0, -1, 0>*676
C) (0.00316, 0, -0.00316)
Attempting the third vector similarly we will get magnitude:
[tex]| \right\underset{C}{\rightarrow} | = \sqrt{0.00316^{2}+ 0^{2} +(-0.00316)^{2} }[/tex] = [tex]*4.47*10^{-3}[/tex]
Then,
[tex]\hat{u}_C=\dfrac{\overrightarrow{C}}{|\overrightarrow{C}|}\\\hat{u}_C= < \frac{0.00316}{4.47*10^2}, \frac{0}{4.47*10^2}, \frac{0.00316}{4.47*10^2}>[/tex]
The vector [tex]\overrightarrow{C} = <0.707, 0, -0.707>*4.47*10^2[/tex]
Learn more about vector unit:
https://brainly.com/question/1615741
I need help with this, thanks
Answer: -2x
Step-by-step explanation:
i'm pretty sure that's right ;)
I need help. To see if i got it right
Yes maybe
hope it helps
You have been working with irregular figures. How is estimating area on a grid different from estimating perimeter on a grid? Explain.
Answer:
When estimating area, count the squares that cover the shape. When estimating perimeter, count the unit lengths that are around the shape
Step-by-step explanation:
find (f/g) (x) and state the domain restriction. f (x) = 6x - 3 and g(x) = 12x^2 - 6x
9514 1404 393
Answer:
(f/g)(x) = 1/(2x)
x ≠ 1/2
Step-by-step explanation:
[tex](f/g)(x)=\dfrac{f(x)}{g(x)}=\dfrac{6x-3}{12x^2-6x}=\dfrac{6x-3}{2x(6x-3)}\\\\\boxed{(f/g)(x)=\dfrac{1}{2x}}\quad x\ne\dfrac{1}{2}[/tex]
The domain restriction x ≠ 1/2 comes from the requirement to prevent the denominator factor 6x-3 from being zero.
PLS HELP ME WITH MATH!!!!!
Answer:
⚪ (4 • 3) + (4 • 8)
Step-by-step explanation:
[tex]4•(3 + 8)[/tex]
by distributing 4 in the bracket:
[tex] = \{(4•3) + (4•8) \}[/tex]
Can 2 integers be positive?
Answer:
Adding two positive integers gets a positive sum
now when adding two negative integers gets a negative sum.
Step-by-step explanation:
hope that helps>3
1. Find x and y
Many thanks!
Sorry it may be blurry but can someone help please :D
Answer:
13
Step-by-step explanation:
3x^2-5y
3(4)^2-5(7)
3(16)-35
48-35
13
x=15 is this a function how do you do it
9514 1404 393
Answer:
no
Step-by-step explanation:
The graph of this equation on an x-y plane is a vertical line. The input value x=15 maps to an infinite number of outputs (y-values). For a relation to be a function, each input can only map to one output.
x = 15 is not a function
HELPPPPPPPPPPPPP!!!!
Step-by-step explanation:
1) 4 terms
2) - 6
3) Coefficient = 4x³ + x - 3y
Step-by-step explanation:
There are 4 terms in the expression i.e, 4x²,x,3y and 6The value of the constant term is -64x²+x-3yI hope it was helpful
Order from least to greatest
√6, -5.25 , 3/2 , 5
Answer: 5.25, 3/2, the square root of 6, 5
Step-by-step explanation:
Find the area and the circumference of a circle with diameter 9 ft.
Answer:
area=63.585 circumference=28.26
Step-by-step explanation:
help me, please !!!! look at the picture below thanks
Answer:
a) 52/126
B)55/126
C)40/126
Answer:
a. 52/126 i.e ratio of total coffee and total people
b. 55/126 i.e ratio of total females and total people
c. 40/126 i.e ratio of total male preferring tea and total people
Step-by-step explanation:
simplify the fraction if it is required.
write the phrase as an algebraic expression and simplify if possible let x represent the unknown number
The sum of 5 times a number and - 4, added to 7 times the number
Answer:
12x – 4
Step-by-step explanation:
The sum of 5 times a number and - 4, added to 7 times the number =
(5x + -4) + 7x →
(5x + -4 + 7x) →
(5x + 7x + -4) →
(5x + 7x) + -4 →
12x + -4 →
12x – 4
you plan to drive t a resort that is 399 miles away. your car presently gets 28 miles per gallon. How many gallons of gas will it take you to get to the resort
Answer: 399÷28= 14.25
Step-by-step explanation:
Divide 399 by 28 = 14.25
A kindergarten class has a student-teacher ratio of 15 to 2. Is it possible to have 35 students
in the class? Explain your reason in words.
Answer:
No it is not possible, cuz 35 students would need 4.6 teachers, it is not a whole number
Step-by-step explanation:
STUDENT : TEACHER
15 : 2
35 : 4.66
So according to the ratio, if we had 35 students, we would need 4.66 Teachers, but that is not possible, cuz i mean, u obviously can't cut the human into pieces and call that 0.66
The quotient of a number and six is twelve. Find the number.
Answer:
72
Step-by-step explanation:
let the number be n then the quotient of the number and 6 is [tex]\frac{n}{6}[/tex] , then
[tex]\frac{n}{6}[/tex] = 12 ( multiply both sides by 12 )
n = 12 × 6 = 72
The number is 72
Answer:
72
Step-by-step explanation:
n/6=12
72/6=12/1
12/1=12
Simplify the expression.
30 - [(7 - 4) + (10 - 22)
30 - [(7 - 4) + (10 - 22)2 =
(ANSWER QUICKLY)
Answer:
-51
Step-by-step explanation:
30 - (3 + (-12))^2
30 - (-9)^2
30 - 81
-51
Answer:
-51Step-by-step explanation:
30 - [(7 - 4) + (10 - 22)]² = ?30 - [3 + (-12)]² = ?30 - [-9]² = ?30 - 81 = ?= -51[tex]\tt{ \green{P} \orange{s} \red{y} \blue{x} \pink{c} \purple{h} \green{i} e}[/tex]
Grayson placed an order for 1/2 of a sack of brown lentils and 1/12 of a sack of green lentils. How much more brown lentils did Grayson order? Write your answer as a fraction or as a whole or mixed number.
if a *b=4a+2ab find the value of
a) 2*5
b)3*4
Answer:
a
Step-by-step explanation:
First identify which number represent the given letters
in the first question a)2 represents a, while 5 represents b.Then substitute 2 for a and 5 for b in the given expression.Do this for the second question.
How much dirt is there in a hole 12 meters long, 8 meters wide, and 2 meters deep?
Answer:
perimiter if not add cause your doing inside so perimiter
Step-by-step explanation:
