Answer:
x-3=4
x=4+3
X=7
or
x-3=-4
x=-4+3
x=-1
-1 and 7
Step-by-step explanation:
Any equation within the | | notation is an absolute value, where the the value of the equation can only be positive.
So within the notation, we have two possibilities to the solution, a positive and negative value.
In other words, |4| = 4 and |-4| = 4
Hence, we only need to substitute x with an appropriate integer to satisfy the answer.
|x - 3| = 4
substitute x = 7
|7 - 3| = 4
|4| = 4
substitute x = -1
|-1 - 3| = 4
|-4| = 4
Therefore the solutions to x is x = 7 and x = -1.
Nicole is looking at a map of her neighborhood she notices the mall is 30 miles south of your house and that the grocery stores 40 miles east of her house how far apart are the mall and the grocery store?
Answer:
Distance of grocery stores from mailbox = 50 miles
Step-by-step explanation:
Given:
Distance of grocery stores = 40 miles east
Distance of mailbox = 30 miles south
Find:
Distance of grocery stores from mailbox
Computation:
Hypotenuse² = Perpendicular² + Base²
Distance of grocery stores from mailbox = √30² + 40²
Distance of grocery stores from mailbox = √900 + 1600
Distance of grocery stores from mailbox = √2500
Distance of grocery stores from mailbox = 50 miles
the average length of string a and string d is 10x cm . the average length of string b and string c is 8x cm . the average length of string b , c, d is 6x cm . find the length of string a is terms of x
Answer:
a= 18x
Step-by-step explanation:
(a+d)/2 = 10x (1)
(b +c)/2 = 8x (2)
(b+c+d)/3 = 6x (3)
From the equation 2, we have (b+c)= 8x *2 = 16x
From the equation 3, we have d= 6x*3 - (b+c)= 18x- 16x = 2x
From the equation 1, we have a= 10x*2 -d= 20x - 2x= 18x
Explain why a + 2b = 110 in the triangle shown
Answer:
Step-by-step explanation:
According to the Triangle Angle-Sum Theorem, all the angles of a triangle have to add up to equal 180 degrees. For us, in our triangle:
a + 2b + 70 = 180 so
a + 2b = 180 -70 and
a + 2b = 110. That's why.
You roll two 6-sided dice.
What is the probability that you would roll an even number on the first dice and a number greater than 4 on the second?
9: A rectangular room is 14m long and 8m wide. Jessica is going to carpet the room with carpet that costs £17.50 per square metre. Work out the cost of carpeting the room.
Answer:
£1,960
Step-by-step explanation:
Find the area of the room using the formula, A = lw
Plug in the length and width, and solve:
A = lw
A = 14(8)
A = 112
So, the area of the room is 112 square meters. Find the cost of carpeting the room by multiplying this by the price, £17.50
112(17.5)
= 1960
So, the price will be £1,960
0. 00147 in standard form
Answer:
Answer: It can be written as 1.47x10-³
Step-by-step explanation:
0.00147 = 1.47
1.47 = 1.47 x 10 -^3
A manufacturer of cell phone screens is concerned because 12 percent of the screens manufactured using a previous process were rejected at the final inspection and could not be sold. A new process is introduced that is intended to reduce the proportion of rejected screens. After the process has been in place for several months a random sample of 100 screens is selected and inspected. Of the 100 screens 6 are rejected. What are the appropriate hypotheses to investigate whether the new process reduces the population proportion of screens that will be rejected?
A. H0:p=0.12Ha:p<0.12 A
B. H0:p=0.12Ha:p>0.12 B
C. H0:p=0.06Ha:p<0.06 C
D. H0:pˆ=0.06Ha:pˆ>0.06 D
E. H0:pˆ=0.12Ha:pˆ<0.12 E
Answer: A.
[tex]H_0:p=0.12\\\\H_a:p<0.12[/tex]
Step-by-step explanation:
Null hypothesis[tex](H_0)[/tex] : A statement describing population parameters as per the objective of the study. It usually takes "≤,≥,=" signs.
Alternative hypothesis [tex](H_a)[/tex]: A statement describing population parameters as per the objective of the study. It usually takes ">, <, ≠" signs.
Let p be the proportion of screens that will be rejected.
12 percent of the screens manufactured using a previous process were rejected at the final inspection.
(i.e. p= 0.12)
Objective of the study = whether the new process reduces the population proportion of screens that will be rejected
i.e. p< 0.12
So, the appropriate hypotheses to investigate whether the new process reduces the population proportion of screens that will be rejected:
[tex]H_0:p=0.12\\\\H_a:p<0.12[/tex]
Which of the following is the quotient of the rational expressions shown below?
Answer:
A
Step-by-step explanation:
multiple across
5 * 6 = 30
2x+1 * x = 2x^2 + x
13-?=7-2x
In the equation above what must ? be so that x has value of 2
Answer:
? = 10
Step-by-step explanation:
13 - (10) = 7-4 ....... 2×2 =4
3 = 3
A bus completed a journey of 98 km in 140 minutes. Calculate the average speed, in kilometres per hour, for this journey.
Answer:
hope you like it
Step-by-step explanation:
at first change minutes to hour and calculate by dividing 98 to specific hour
Solve for x in these two similar triangles
Work out m and c for the line:2y+6x=4
Answer:
2y +6x=4
Step-by-step explanation:
2y=4-6x
y =(4-6x)÷2
30 points What's the area below
Answer:
213
Step-by-step explanation:
(12×11)+(5×6)+(7×6)+(3×3)=132+30+42+9
=213
Answer:
Step-by-step explanation:
Ggg
Omar grouped the terms and factored the GCF out of the groups of the polynomial 3x3 – 15x2 – 4x + 20. His work is shown.
Step 1: (3x3 – 15x2) + (–4x + 20)
Step 2: 3x2(x – 5) + 4(–x + 5)
Omar noticed that he does not have a common factor. Which accurately describes what Omar should do next?
Omar should realize that his work shows that the polynomial is prime.
Omar should go back and regroup the terms in Step 1 as (3x3 – 15x2) – (4x + 20).
In Step 2, Omar should factor only out of the first expression.
Omar should factor out a negative from one of the groups so the binomials will be the same.
Answer:
2nd option
Step-by-step explanation:
Given
3x³ - 15x² - 4x + 20
step 1 ( group the first/second and third/fourth terms )
(3x³ - 15x² ) + (- 4x + 20)
step 2 ( factor each group )
3x² (x - 5) - 4(x - 5) ← note factor of - 4 ( not + 4 )
step 3 ( factor out (x - 5) from each term )
(x - 5)(3x² - 4)
Answer:
ITS D !!!!
Step-by-step explanation:
got it right on test
I suck at math but what's greater 0.67 or 0.6
Answer:
0.67!
Step-by-step explanation:
0.6 is just 0.60 which is less than 0.67
An aeroplane flies 1860 miles in 4 hours. What is its average speed?
Answer:
The average speed is 465 mph
Step-by-step explanation:
1860/4 = 465
Answer:
The average speed is 465 mph
Step-by-step explanation:
Average speed = distance/time
1860 miles / 4 hours = 465 mph
A scientist is growing two species of bacteria. She defines a variable t that represents the number of days after the growth begins. The number of bacteria after t days is defined by: Species A: y=1000∙2^(t/3)
Species B: y=1000∙2^3t
(a) how many bacteria does each species start out with?
Number of bacteria each species start out with for the given exponential growth function is equals to 1000.
What is exponential growth function?
" Exponential growth function is defined as the the process of the increment in the initial quantity over the period of time 't'."
Formula defined
Exponential model
[tex]y =y_{0} e^{kt}[/tex]
[tex]y =[/tex]growth in the quantity
[tex]y_{0}[/tex] = initial quantity
[tex]k=[/tex] exponential growth
[tex]t=[/tex] time taken to grow
According to the question,
Given exponential function,
For Species A : [tex]y=1000 (2^{\frac{t}{3} } )[/tex]
For Species B : [tex]y=1000 (2^{3t} )[/tex]
't' represents the number of days after the growth begins
a. For the given condition of the exponential growth function ,
t = 0 when species start out with
For species A
[tex]y=1000 (2^{\frac{0}{3} } )[/tex]
⇒ [tex]y=1000[/tex]
For species B
[tex]y=1000 (2^{3(0) } )[/tex]
⇒ [tex]y=1000[/tex]
Hence, number of bacteria each species start out with for the given exponential growth function is equals to 1000.
Learn more about exponential growth function here
https://brainly.com/question/11487261
#SPJ2
If a chair costs 734 dollars and I give it to my friend for 823 dollars how much is my profit as a percentage
Answer:
[tex]X=12.125\%[/tex]
Step-by-step explanation:
From the question we are told that:
Cost Price [tex]CP=734[/tex]
Sale Price [tex]SP=823[/tex]
Generally the equation for Profit P is mathematically given by
[tex]Profit=SP-CP[/tex]
[tex]P=823-734[/tex]
[tex]P=89[/tex]
Therefore as a percentage
Percentage Profit X is given as
[tex]X=\frac{89}{734}*100[/tex]
[tex]X=12.125\%[/tex]
Can somebody help I’ll give brainless
Answer:
194.51
Step-by-step explanation:
Find 6% of 183.50
183.50 * 6%
183.50 * .06
11.01
Add this to the original price
183.50+11.01
194.51
is f(x)=–3?
–7
–4
4
5
Answer:
4 is the answer...........
_4 is the best answer of this question
find the area of a circle . diameter =30cm . suction
Area of Circle = pi * r* r
Diameter = 2* r
Radius = 30/2 = 15 cm
pi = 3.14
Area of circle = 3.14 * 15 *15 = 707.14 cm ^2
Help me or Shrek's donkey won't get pancakes!
Answer:
A. y=x and y=x+2
Step-by-step explanation:
A.
y=x and y=x+2
The equations both match the slope and intercept of the graphed equations.
Can I have the pancakes instead of the donkey?
pls tell the answer by step by step
The point lies in 2nd quadrant.
Answer:
second quadrant
Step-by-step explanation:
here , -2 is x component and y component is 5
since x component is negative and y component is positive it lies on the second quadrant.
Note: if both x and y component are positive then the point lies on first quadrant.
id x component is negative and y component is positive then the point lies on second quadrant.
if x both x and y component are negative then the point lies on third quadrant.
if x component is positive and y component then the point lies on fourth quadrant.
express 0.27272727......... in the form of p/q
Hello,
[tex]0.\overline{27}=\dfrac{27}{99} =\dfrac{9}{33} =\dfrac{3}{11}[/tex]
what is the square root of -1
Answer:
i
Step-by-step explanation:
Now, before you think I'm just stealing points, let me explain. The square root of a number is the number that, if you multiply it by itself, it equals that number. The square root of 4 is 2, because 2 * 2 = 4.
Also, a negative number times another negative number, is a positive number. -2 * -2 = 4
With both of those true, then what number could be multiplied by itself to equal a negative number? i.
i is a weird number that I don't really know how to explain all that well. I am sorry, but that is all that I can give you. i is very complex and has various different equivalents, and different meanings, but i is equal to [tex]\sqrt{-1}[/tex].
Hope that this helps!
plzx solve it with steps....
how many terms of the A P -6,11/2,-5......are needed to give the sum -25??
plzx give me all the steps....!!
I think the second number is supposed to be negative, -11/2 = -5.5, because otherwise the sequence is not arithmetic.
The n-th term of the sequence, starting with n = 1, is then
-6 + 0.5 (n - 1) = 0.5n - 6.5
and we want to find the number N such that
[tex]\displaystyle\sum_{n=1}^N(0.5n-6.5)=-25[/tex]
We have
[tex]\displaystyle\sum_{n=1}^N(0.5n-6.5) = 0.5\sum_{n=1}^Nn-6.5\sum_{n=1}^N1\\ = 0.5\times\frac{N(N+1)}2 - 6.5N \\= 0.25N^2-6.25N = -25[/tex]
Solve for N :
0.25 N ² - 6.25N + 25 = 0
N ² - 25N + 100 = 0
(N - 20) (N - 5) = 0
N = 20 or N = 5
CAN SOMEONE HELP ME OUT, PLEASE AND THANK YOU.
Answer:
what do you need help with?
Step-by-step explanation:
Consider the following system of two equations.
{3x−4y=−24
3x+2y=−6
What are the coordinates(x,y) of the solution to the system of equations?
Enter the coordinates in the space provided.
Help if i dont pass this im finna fail.!!!!!
Step-by-step explanation:
The given equations are:
(i)
3x+2y−4=0...(1)
2x−3y−7=0...(2)
put x=0 in (1),
3(0)+2y−4=0
y=2
put y=0 in (2),
2x−3(0)−7=0
x=
2
7
put x=0 in (2),
2(0)−3y−7=0
y=−
3
7
put y=0 in (1),
3x+2(0)−4=0
x=
3
4
(x=0,y=−
3
7
)
(x=
3
4
,y=0)
(x=0,y=2)
(x=
2
7
,y=0)
(ii)
3x+2y−11=0...(1)
2x−3y+10=0...(2)
put x=0 in (1),
3(0)+2y−11=0
y=
2
11
put y=0 in (2),
2x−3(0)+10=0
x=−5
put x=0 in (2),
2(0)−3y+10=0
y=
3
10
put y=0 in (1),
3x+2(0)−11=0
x=
3
11
(x=
3
11
,y=0)
(x=0,y=
3
10
)
(x=0,y=
2
11
)
(x=−5,y=0)
Identify the coefficient(s) of the variable in the expression below.
25 - 6z
A
z
B
1
C
6
D
25 and 6
Answer:
D
Step-by-step explanation:
25 and 6
Coefficient is the number in front of the unknown variable
Identify the coefficient(s) of the variable in the expression below.
25 - 6z
[tex]\implies {\blue {\boxed {\boxed {\purple {\sf {C. \:6}}}}}}[/tex]
Explanation:
Coefficients are numbers that are attached to variables. In the expression "25 - 6z", 6 is the coefficient since it is attached to the variable z.
[tex]\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{.}}}}}[/tex]
11) Write the explicit formula
for the sequence below and
use it to find the 47th term:
-3, 5, 13, 21,...
Answer:
365
Step-by-step explanation:
tn = t1 + (n - 1)(d)
t(47) = -3 + (47 - 1)(8)
t(47) = -3 + (46)(8)
t(47) = -3 + 368
t(47) = 365
