Answer:
25%
Step-by-step explanation:
3 bears increase is a fourth of 12. So a fourth of 100 is 25 percent increase.
Complete this word
[tex] _ r _ch_i_ [\tex]
Answer:
Arachnid is my guess.
solve the inequality |x+6-|3x+6||+|x+2|-x-4 less then or equal to 0
It looks like the inequality is
[tex]\bigg|x + 6 - |3x + 6|\bigg| + |x + 2| - x - 4 \le 0[/tex]
or equivalently,
[tex]\bigg|x + 6 - 3 |x + 2|\bigg| + |x + 2| - x - 4 \le 0[/tex]
Recall the definition of absolute value:
[tex]|x| = \begin{cases} x & \text{if } x \ge 0 \\ -x & \text{if } x < 0 \end{cases}[/tex]
By this definition, we have
[tex]|x + 2| = \begin{cases} x + 2 & \text{if } x + 2 \ge 0 \\ -(x + 2) & \text{if } x + 2 < 0 \end{cases} = \begin{cases} x + 2 & \text{if } x \ge -2 \\ -x - 2 & \text{if } x < -2 \end{cases}[/tex]
Suppose [tex]x < -2[/tex]. Then
[tex]\bigg| x + 6 - |3x + 6| \bigg| + |x + 2| - x - 4 \\\\ = |x + 6 - 3 (-x - 2)| + (-x - 2) - x - 4 \\\\ = |4x + 12| - 2x - 6[/tex]
By definition of absolute value,
[tex]|4x + 12| = 4 |x + 3| = \begin{cases} 4x + 12 & \text{if } x \ge -3 \\ -4x - 12 & \text{if } x < -3 \end{cases}[/tex]
so we further suppose that [tex]x < -3[/tex]. Then
[tex]\bigg| x + 6 - |3x + 6| \bigg| + |x + 2| - x - 4 \\\\ = |4x + 12| - 2x - 6 \\\\ = (-4x - 12) - 2x - 6 \\\\ = -6x - 18 \le 0 \\\\ \implies x \ge -3[/tex]
but this is a contradiction, so this case gives no solution.
If instead we have [tex]-3 \le x < -2[/tex], then
[tex]\bigg| x + 6 - |3x + 6| \bigg| + |x + 2| - x - 4 \\\\ = |4x + 12| - 2x - 6 \\\\ = (4x + 12) - 2x - 6 \\\\ = 2x + 6 \le 0 \\\\ \implies x \le -3[/tex]
and [tex]-3 \le x[/tex] and [tex]x \le -3[/tex] means that [tex]\boxed{x = -3}[/tex].
Now suppose [tex]x \ge -2[/tex]. Then
[tex]\bigg| x + 6 - |3x + 6| \bigg| + |x + 2| - x - 4 \\\\ = |x + 6 - 3 (x + 2)| + (x + 2) - x - 4 \\\\ = |-2x| - 2 \\\\ = 2 |x| - 2[/tex]
If we further suppose that [tex]-2 \le x < 0[/tex], then
[tex]\bigg| x + 6 - |3x + 6| \bigg| + |x + 2| - x - 4 \\\\ = 2 |x| - 2 \\\\ = -2x - 2 \le 0 \\\\ \implies x \ge -1[/tex]
Otherwise, if [tex]x \ge 0[/tex], then
[tex]\bigg| x + 6 - |3x + 6| \bigg| + |x + 2| - x - 4 \\\\ = 2 |x| - 2 \\\\ = 2x - 2 \le 0 \\\\ \implies x \le 1[/tex]
Taken together, this case gives the solution [tex]\boxed{-1 \le x \le 1}[/tex]
So, the overall solution to the inequality is the set
[tex]\boxed{\left\{ x \in \mathbb R : x = -3 \text{ or } -1 \le x \le -1 \right\}}[/tex]
h e l p m e p l e a s e
Answer:
(a) 105
(b) 105
(c)105
Step-by-step explanation:
(a) You can subtract 75 from 180 to find your answer
(b) This angle is corresponding with (a)
(c) This is a consecutive exterior angle with the 75 degree one in 4th street and King Ave, therefore it will be 105
A flower pot has a circumference of 47 inches. What is the approximate length of the radius of the flower pot? Use 3.14 for .
please answer
Answer:
7.48
Step-by-step explanation:
C=2πr
Solving for
r=C
2π=47
2·π≈7.48028
Answer:
Step-by-step explanation:
Circumference = 47 inches
[tex]2\pi r = 47\\\\2*3.14*r = 47\\\\6.28*r = 47\\\\r = \dfrac{47}{6.28}\\\\[/tex]
r = 7.48 in
good estimate of the length of a standard bed pillow
Answer:
I would say 2 ft
Step-by-step explanation:
Have amazing day!
Please rate!
Write a mixed number to describe the length of the ribbon shown in the figure below.
Step-by-step explanation:
what did we learn in the other question ?
there are 8 equal sub-segments of 1/8 length between neighboring whole numbers.
so, each little line is 1/8.
the marker goes first to 1, and then one little line towards 2.
therefore, that number is 1 1/8.
PLEASE HURRYYYYYY!!!!!
A salesman sold $65,100 in bikes. He eared a 20% Commission, How much did he earn?
explain your answer please
Answer:
$13,020
Step-by-step explanation:
65,100 * 20% = 65,100 * 0.20 = 13,020
How many squares u can actually count in this given picture?
Answer:
I counted 24.
Step-by-step explanation:
Its probably a trick question though
Answer: I counted 36.
(edit) But the answer is 40.
Step-by-step explanation:
Count all the "normal" squares. 16.
Then all the 2x2 normal squares. 9.
Then count all the tiny squares. 8.
Then the 2 big squares the tiny squares make. 2.
Then the giant square, which is all the squares. 1.
And I agree this probably is a trick question.
16 + 9 + 8 + 2 + 1 = 36 squares in total
*EDIT*
Apparently 3x3 squares exist so...
3x3 squares . 4
so 36 + 4 = 40 squares in total
(thanks to the person who asked the question in the first place for telling me about those 3x3 squares)
PLEASE HURRY!!!!
Find the area of the figure below.
8 in.
11 in.
9 in
8 in
11 in
Answer:314 in squared
Step-by-step explanation:
99+44+99+72
raise v to the 8th power, triple the result, then subtract w from what you have
Answer:
Step-by-step explanation:
[tex]3(v^{8}) -w\\ 3v^{8}-w[/tex]
James Marbury is the payroll accountant at All's Fair Gifts The employees of All's Fair Gifts are paid semimonthly. Lauren Stenn comes to him on April 2 and requests a pay advance of $1000, which Lauren will pay back in equal parts on the April 15 and May 15 paychecks Lauren is single with one dependent under 17 and is paid $51,680 per year Lauren contributes 3 percent of gross pay to a 401(k) and has $139 per paycheck deducted for a Section 125 plan.
Based on Lauren's income and the various deductions, the net pay for April is $1,151.44.
What is the taxable income?Taxable income:
= Semimonthly income - 401k - Section 125 plan
= (51,680 / 24 pay periods) - (0.03 x 51,680/24 periods) - 139
= 2,153.33 - 64.6 - 139
= $1,949.73
What is Lauren's April net pay?= Taxable income - federal income tax - state income tax - social security - Medicare - advance repayment
= 1,949.73 - (1.6% x 1,949.73) - (5.25% x 1,949.73) - (6.2% x 2,153.33 gross income) - (1.45% x 2,153.33) - 500
= $1,151.44
Find out more on taxable income at https://brainly.com/question/10137785.
The Jurassic Zoo charges $8 for each adult admission and $6 for each child. The total bill for the 119 people from a school trip was $754. How many adults and how many children went to the zoo?
PLEASE HELP!!! I cant figure this out!!!
Round 58.5 to the nearest whole number
whats (x-3/4)^2 - 5 = 4 using the square root property?
please have an explanation; will give brainliest
answer: -9/4 and 15/4
Answer:
x = {-9/4, 15/4}
Step-by-step explanation:
To use the square root property to solve the quadratic, you need to get it to a form where the square root function can be usefully applied. That will mean having a square of a binomial on one side of the equal sign, and a constant on the other side of the equal sign.
We can get that from the given equation by adding 5 to both sides.
(x -3/4)^2 -5 = 4 . . . . . . given
(x -3/4)^2 = 9 . . . . . . . add 5 to get the square by itself
x -3/4 = ±3 . . . . . . . . . take the square root
x = ±3 +3/4 = {-9/4, 15/4} . . . . add 3/4 and expand the result
i dont understand this
Findthe y -intercept oftheparabolay = x2 + 5x + 9.
Answer:
x = 5 ± i√11 / 2
Step-by-step explanation:
At the y-intercept the value of y is equal to 0.
=> 0 = x² + 5x + 9
=> x = -5 ± √25 - 4(9) / 2
=> x = 5 ± √-11 / 2
=> x = 5 ± i√11 / 2
of the 140 in a book, 25% of them have illustrations. How many pages have illustrations
Find the value of 2/5 -3/5
evaluate the expression 10^2+(3+5)^2-5
Hey there!
10^2 + (3 + 5)^2 - 5
= 10 * 10 + (3 + 5)^2 - 5
= 100 + (8)^2 - 5
= 100 + (8 * 8) - 5
= 100 + 64 - 5
= 164 - 5
= 159
Therefore, your answer is: 159
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
Answer:
10² + (3 + 5)² - 5 = 159
Step-by-step explanation:
Given expression,
→ 10² + (3 + 5)² - 5
Evaluating the expression,
→ 10² + (3 + 5)² - 5
→ 10² + 8² - 5
→ 100 + 64 - 5
→ 100 + 59
→ 159
Hence, the answer is 159.
NEED HELP QUICK WILL GIVE OUT 30 POINTS
4
1-
6
Step-by-step explanation:
its because i cant understand
Answer:
[tex]\Large \displaystyle \frac{7}{8}[/tex]
Step-by-step explanation:
Volume = area of cross-section × height
Mixed to improper fraction
7/4 × 1/2 = 7/8
eight multiply by 5 over 12 equals
Hi! I hope you're enjoying your day!
First, 8 multiplied by 5 is equal to 40.
Then, 40 over 12 is the same as 40 divided by 12.
But hey! 40 isn't divisible by 12.
So we write this as a fraction:
[tex]\bold{\displaystyle\frac{40}{12} }[/tex]
Surprise! This fraction can be reduced.
Divide both the numerator (40) and the denominator (12) by 4:[tex]\bold{\displaystyle\frac{10}{3} }[/tex]
Hence, the answer is:
[tex]\boxed{\boxed{\bold{\displaystyle\frac{10}{3} }}}[/tex] <-- the answer written as an improper fraction
[tex]\boxed{\boxed{\bold{3\displaystyle\frac{1}{3}}}}[/tex] <-- the answer written as a mixed number
Hope everything is clear.
If you have any questions, please comment.
#LearningIsFun
[tex]\rule{250}{2}[/tex]
explain turning point in graphs
A turning point is a point at which the derivative changes sign. A turning point may be either a relative maximum or a relative minimum (also known as local minimum and maximum).
Please please can someone help me !!! math question !!!!
Using the graph, it is found that:
a) The local minimum value of the function is of y = 0.
b) The values are x = -3, x = 3.
How to find the local minimums of a function is a graph?The local minimum of a function in a graph is the point at which the function changes from decreasing to increasing. In this problem, they are given by y = 0.
The values at which this happen is the values of x, that is, the horizontal axis. In this problem, they are at x = -3 and x = 3.
More can be learned about functions at https://brainly.com/question/25537936
In the formula l2 = h2 +r2, l=25 and r=7, then the value of h is
Answer:
18
Step-by-step explanation:
I2=h2+r2
25(2)=h2+7(2)
50=h2+14
-14 -14
36=h2
÷2 ÷2
18=h
4 What advice would you give a Grade 10 learner who is
Mathematical Literacy on how to draw Bar graphs.
Give them at least TWO tips
Answer:
taena mo bobo mo sa math hindi ka mag kakajowa sa February 14 hahahhahahah
Help please. Very easy
Which description can be written as the expression 6b+5?
the difference of six times a number and five
the sum of six times a number and five
the quotient of six times a number and five
the product of six times a number and five
Thanks.
What is the circumference of a pizza that has the area of 50.3 inches?
Answer:
C = 25.1
Step-by-step explanation:
Use the formulas:
A = π r ²C = 2 π rSolving for C:
C = 2√πA = 2 · √π ·50.3 ≈ 25.14137Round to the nearest tenth:
Result = 25.1The circumference of a roll of party streamers is 11 inches. The circumference decreases by 3 inches after you use the streamers to decorate for a birthday party. Find the diameter of the roll after the decrease. Round your answer to the nearest hundredth.
Answer:
2.55
Step-by-step explanation:
First take 11 and subtract it by 3 to get 8.
Then divide it by 3.14 and get 2.547770701...
After that round it to 2.55
the sum of three consecutive numbers is 12 find the small number
Answer:
3
Step-by-step explanation:
Numbers include 3,4,5
smallest is 3
Zoe invested $16,000 in an account paying an interest rate of 3.6% compounded quarterly. Assuming no deposits or withdrawals are made, how much money, to the nearest hundred dollars, would be in the account after 20 years?
[tex]~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$16000\\ r=rate\to 3.6\%\to \frac{3.6}{100}\dotfill &0.036\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{quarterly, thus four} \end{array}\dotfill &4\\ t=years\dotfill &20 \end{cases} \\\\\\ A=16000\left(1+\frac{0.036}{4}\right)^{4\cdot 20}\implies A=16000(1.009)^{20}\implies A\approx 19100[/tex]