Answer:
x<6/5, x>14/5
Step-by-step explanation:
Steps
$5\left|x-2\right|+4>8$
$\mathrm{Subtract\:}4\mathrm{\:from\:both\:sides}$
$5\left|x-2\right|+4-4>8-4$
$\mathrm{Simplify}$
$5\left|x-2\right|>4$
$\mathrm{Divide\:both\:sides\:by\:}5$
$\frac{5\left|x-2\right|}{5}>\frac{4}{5}$
$\mathrm{Simplify}$
$\left|x-2\right|>\frac{4}{5}$
$\mathrm{Apply\:absolute\:rule}:\quad\mathrm{If}\:|u|\:>\:a,\:a>0\:\mathrm{then}\:u\:<\:-a\:\quad\mathrm{or}\quad\:u\:>\:a$
$x-2<-\frac{4}{5}\quad\mathrm{or}\quad\:x-2>\frac{4}{5}$
Show Steps
$x-2<-\frac{4}{5}\quad:\quad x<\frac{6}{5}$
Show Steps
$x-2>\frac{4}{5}\quad:\quad x>\frac{14}{5}$
$\mathrm{Combine\:the\:intervals}$
$x<\frac{6}{5}\quad\mathrm{or}\quad\:x>\frac{14}{5}$
A chord is 15 cm long. It is 9 cm from the center of the circle. What is the radius of the circle?
Answer:
11.72cmStep-by-step explanation:
Given a chord of distance of 15cm, if it is 9cm from the center of a circle, this means that the 9cm length will be projecting from the centre of the circle perpendicular to the chord and passing through its centre.
Since the radius of a circle is a line that is drawn from the centre of a circle to ts circumference, the set up will form a right angles triangle within the circle with the hypotenuse as the radius and the other two sides as the opposite and adjacent respectively. Using the Pythagoras theorem to get the length of the radius (hypotenuse);
hyp² = opp² + adj²
Let the opposite be the 9cm length
Adjacent will be half of the chord length = 15/2 = 7.5cm
Substituting this values into the formula we will have;
hyp² = 9² + 7.5²
hyp² = 81+56.25
hyp² = 137.25
hyp² = √137.25
hyp = 11.72
Hence the radius of the circle is approximately 11.72 cm long
Show that the set of solutions of a second-order linear homogeneous differential equation is linearly independent.
{eax, xeax}, a ≠ b
Find the Wronskian for the set of solutions.
{eax, xeax}, a ≠ b
Answer:
The set of solutions are linearly independent because the wronskian is
e^(2ax) ≠ 0
Step-by-step explanation:
To show that the set of solutions {e^(ax), xe^(ax)} are linearly independent, we find the Wronskian of the set of solutions.
Wronskian of y1 and y2 is given as:
W(y1, y2) = y1y2' - y1'y2
y1 = e^(ax)
y1' = ae^(ax)
y2 = xe^(ax)
y2' = axe^(ax) + e^(ax)
W(y1, y2) = e^(ax)[axe^(ax) + e^(ax)] - ae^(ax).xe^(ax)
= (ax + 1)e^(2ax) - axe^(2ax)
= e^(2ax)
The wronskian of the given set of solutions is e^(2ax), which is not zero.
Because it is not zero, the set of solutions are linearly independent.
IM TIMED What is 3.71 simplified!!!!!!!
Answer:
if its asking for the tenths place its 3.7
if its asking for the ones place its 4
Step-by-step explanation:
Does the letter C have any angles
Four friends want to take a vacation together, so each one gets a part-time job. Each person has 8 weeks to save $720 for the vacation. Analyze the four individual plans below and decide which of the four people will reach his or her goal of saving $720 for vacation.
Friend A: Works 13 hours per week at $6.95 per hour.
Friend B: Works 15 hours per week at $5.85 per hour.
Friend C: Works 18 hours per week at $5.25 per hour.
Friend D: Works 11 hours per week at $7.80 per hour.
Answer:
The correct answer is option A. A and C
Step-by-step explanation:
From the given situation above, here is the solution:
Friend A. 13 hours x $ 6.95 = $90.35 x 8 weeks = $722.80
Friend B. 15 hours x $ 5.85 = $87.75 x 8 weeks = $702
Friend C. 18 hours x $ 5.25 = $94.5 x 8 weeks = $756
Friend D. 11 hours x $ 7.80 = $85.8 x 8 weeks = $686.40
Therefore, the individuals who reached their goal of saving $720 for a vacation are friend A and friend C. The correct answer is option A. A and C.
Answer:
The correct answer is A. A and C
Step-by-step explanation:
Multiply the equation (–8)(7).
Answer:
-56
Step-by-step explanation:
It technically means -8 times 7.
Chili recipe makes enough for 4 servings. The recipe calls for 5 tomatoes. You plan on making enough chili for 10 servings. How many tomatoes will you use?
I NEED HELP ASAP PLEASE
Answer:
-3x^12y^-6
Step-by-step explanation:
The product of two numbers is 90, and one of the numbers is n. What is the other number?
Answer:
Step-by-step explanation:
90/n
a rectangle is 3 times as long as it is wide. the perimeter is 60 cm. find the dimensions of the rectangle. round to the nearest tenth if necassary.
Answer:
180
Step-by-step explanation:
60 x 3 =180
Answer:
l=22.5≅23 cm and w=7.5≅8 cm
Step-by-step explanation:
l=3w
p=60 cm
p=2(l+w)
60=2(3w+w)
60=2(4w)
60=8w
[tex]\frac{60}{8}=\frac{8w}{8}[/tex]
w=7.5≅8 cm
l=3w
l=3*7.5
l=22.5≅23 cm
check
p=2(l+w)
p=2(22.5+7.5)
p=2(30)
p=60 cm
CoStar would like to test if the vacancy rate for "warehouse" stores is more than 8%. A Type I error would occur if CoStar concludes that the vacancy rate was
Complete Question
CoStar would like to test if the vacancy rate for "warehouse" stores is more than 8%. A type 1 error would occur if CoStar concludes that the vacancy rate was
A: not equal to 8% when, in reality, the proportion was equal to 8%
B: 8% or less when, in reality, the proportion was more than 8%
C: equal to 8% when, in reality, the proportion was 8% or less
D: more than 8% when, in reality, the proportion was 8% or less
Answer:
The correct option is D
Step-by-step explanation:
From the question we are told that
CoStar would like to test if the vacancy rate for "warehouse" stores is more than 8%.
Hence
The null hypothesis is [tex]H_o : p \le 0.08[/tex]
The alternative hypothesis is [tex]H_a : p> 0.08[/tex]
Generally type 1 error occurs when null hypothesis is rejected while it is true
So Type I error would occur if CoStar concludes that the vacancy rate was more than 8% when, in reality, the proportion was 8% or less
Solve for the base of a triangle where the height is 16cm and area is 104 cm2. What is the base?
Answer:
13cm
Step-by-step explanation:
104 × 2 = 208
208 ÷ 16 = 13cm
(13 × 16) ÷ 2 = 104cm²
Answer:
13 cm
Step-by-step explanation:
Area = 1/2×base×height
Formula for area:
S = 1.2bhSolving for b:
b = 2s/hb = 2*104/16 = 13 cmAnswer is 13 cm
The customer service department resolved 106 of 120 customer
complaints in a one-hour time span. To the nearest thousandth, find the
resolve rate of the customer service department.
Answer:
______________________________
106/120 = .8833 complaints per hour i think.
______________________________
Help me out plz! it’s an algebra 1 course.
Answer:
13x + 6
Step-by-step explanation:
5x + 2(4x + 3)
distribute the 2
2 • 4x = 8x
2 • 3 = 6
5x + 8x + 6
combine like terms
13x + 6
Answer:
Step-by-step explanation:
5x+2(4x+3)
=5x+8x+6
=13x+6
Find the angle between the vectors a = (4, 2, -4) and b = (4, -3, 2).
SOLUTION Since
lal = 42 + 22 + (-4)2 =
and
[b] = V 42 + (-3)2 + 22 = V 29
and since
a. b = (4)( 14 ) + (2)(-3) + (-4)(2 )
we have from this corollary
COS = a.b |а|
|Ь| | 89 So the angle between a and b is as follows. (Round your final answer to two decimal places.) 0 = cos-10 29 89 x rad
Answer:
86.45°Step-by-step explanation:
Given two vectors a = (4, 2, -4) and b = (4, -3, 2), the formula to be used to calculate the angles between both vectors is as expressed below;
[tex]a.b = |a||b| cos \theta[/tex] where [tex]\theta[/tex] is the angle between both vectors
a.b = (4, 2, -4). (4, -3, 2)
a.b = 4(4)+2(-3)+2(-4)
a.b = 16-6-8
a.b = 16-14
a.b = 2
Given |r| = √x²+y²+z²
|a| = √4²+2²+(-4)²
|a| = √16+4+16
|a| = √36
|a| = 6
Similarly;
|b| = √4²+(-3)²+2²
|b| = √16+9+4
|b| = √29
Substituting the parameters gotten into the formula to get the angle between the two vectors a and b we will have;
[tex]a.b = |a||b| cos \theta\\2 = 6*\sqrt{29} \ cos \theta\\ cos\theta = \dfrac{2}{6\sqrt{29} } \\cos\theta = \dfrac{1}{3\sqrt{29} }\\ cos\theta = 0.0619\\\theta = cos ^{-1}0.0619\\ \theta = 86.45^0 (to \ 2dp)[/tex]
Hence the angle between vectors a and b is 86.45°
please i need help i will give 15 points and mark brainlist for the best one !!!!! Which do you prefer: leaving √5 in radical form, or converting it to a decimal? Why? When would it be useful to use each? Your response should be 3-5 sentences long and show that you’ve thought about the topic/question at hand. Please be aware we are looking for YOUR PERSONAL OPINION and there is not a single “correct answer.”
Answer: Change it to decimal
Step-by-step explanation:
Converting it to decimal makes it easier to work with. It might make be an extra step, but in the long run of the problem it helps to make calculations accurate and easier to solve by working with simpler numbers. Converting to decimal form makes the number more precise for square roots, which are usually not whole numbers.
6-4x=7x-9x+8 What is the answer to my question
Answer:
-1
Step-by-step explanation:
We have our expression
6 - 4x = 7x - 9x + 8
Combine like terms
6 - 4x = -2x + 8
Add 2x to both sides, and subtract 6 from both sides
-2x = 2
x = -1
Answer:
-2x − 2 = 0 is the answer to this
What is (2 hundreds 3 tens)x 10 in standard form
Answer:
2300
Step-by-step explanation:
When you multiply by 10, each place value moves one to the left: hundreds become thousands, tens become hundreds.
(2 hundreds 3 tens) × 10 = 2 thousands 3 hundreds
In numbers (standard form), this is ...
230 × 10 = 2300
PLEASE HELP ME!!! Which inequality best represents that ice cream at -5 degrees celsius is cooler than 4 degrees celsius? A. -4 D.C > 5 D.C B. -4 D.C -5 D.C
Answer:
i think but I am not sure so maybe ask somebody else but I think it is A.
Step-by-step explanation:
I just think it is
Find the length of the unknown side of the triangle.
The length of the unknown side of the triangle is
Answer:
15.2971ftStep-by-step explanation:
The question lacks appropriate diagram. Find the diagram in the attachment.
The triangle is a right angles triangle and the unknown side is the hypotenuse which is the longest side of a triangle and the other two sides are the opposite and the adjacent
Using the Pythagoras theorem to find the length of the hypotenuse, we will have;
hyp²= opp²+adj²
hyp²= 15²+3²
hyp²= 225+9
hyp²= 234
hyp = √234
hyp = 15.2971
Hence the length of the unknown side is 15.2971ft
help please. its due tonight Geometry!!
Answer:
D
Step-by-step explanation:
First, let's define each of the terms.
Scalene refers to triangles whose three sides and three angles all have different measures.
Isosceles refers to triangles who has two equivalent angles and sides.
Right triangles are triangles with one right angle.
So we know that the triangle has one 90 degrees and 2 45 degree angles.
In other words, this is an isosceles triangle.
And since it also contains a 90 degree angle, it means that the triangle is an isosceles right.
The answer is D
4(100,000,000) + 3(10,000,000) + 2(100,000) + 9(10,000) + 1(100)
Answer:
430290100 is the answer
Step-by-step explanation:
hope it help :)))))))))))))))))))))))))))))))))))))
Answer:
430290100
Step-by-step explanation:
My question is Multpiy (5 4/7)(-2 2/5) (idk what rational numbers are)
Answer:
Step-by-step explanation:
(39/7)(-12/5) = -468/35 = -13.37
6. Find the areas of the rectangles with the following side lengths.
a. 5 in and 1/3 in
c. 5/2 in and 4/3 in
b. 5 in and 4/3 in
c. 2/5 in and 4/3 in
d. 7/6 in and 6/7 in
(a) Area of rectangle = 1.67 squares in
(b) Area of rectangle = 3.33 squares in
(c) Area of rectangle = 6.67 squares in
(d) Area of rectangle = 0.53 squares in
(e) Area of rectangle = 1 squares in
What is the area of the rectangle?The area of a rectangle is defined as the product of the length and width.
(a) Length of rectangle = 5 in and
Width of rectangle = 1/3 in
Area of rectangle = 5 × 1/3 = 5/3 = 1.67 square in
(b) Length of rectangle = 5/2 in and
Width of rectangle = 4/3 in
Area of rectangle = 5/2 × 4/3 = 20/6 = 3.33 square in
(c) Length of rectangle = 5 in and
Width of rectangle = 4/3 in
Area of rectangle = 5 × 4/3 = 20/3 = 6.67 square in
(d) Length of rectangle = 2/5 in and
Width of rectangle = 4/3 in
Area of rectangle = 2/5 × 4/3 = 8/15 = 0.53 square in
(e) Length of rectangle = 7/6 in and
Width of rectangle = 6/7 in
Area of rectangle = 7/6 × 6/7 = 42/42 = 1 square in
Learn more about the Area of the rectangle here:
brainly.com/question/20693059
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Bicycles are often on sale in September. The regular price of one bicycle is $181.95. With a 20% discount, what is the sale price of the bicycle? Round to the nearest cent(hundredths).
Answer:
sale price = $145.56
Step-by-step explanation:
The regular price of one bicycle is $181.95
20% discount
sale price = original price - ( % discount x original price )
sale price = $181.95 - (0.20 * $181.95)
sale price = $181.95 - $36.39
sale price = $145.56
What is distributive 6(x+2)
Answer:
Distribute
6(x+2)
= 6×x+6×2
So 6x+12
Vertical Compression of 1/3, right 2!!!
Answer!
Work backwards to find the factors from the roots, then multiply the factors together. f=x^2−7x/3+2/3
Please help, will mark brainliest
Answer:
Q1: Communtative property of multiplication
Q2: Commutative property of addition
Step-by-step explanation:
Hope this helps!!!!!!!
Which is equivalent to 1.04?
Answer:
104%
Step-by-step explanation:
if it has to do with percentages
If you get this you are a critical thinker.
I enter the garden.
There are 34 people.
You kill 30.
How many people are in the garden.
Good luck!
If you get it correct your answer will be deleted and l will message you to continue the game.
Don't play if you are not going to continue party poopers!
I won against Lisa Swensrud
Answer:
5
Step-by-step explanation:
Because when you walk in there is now 35 people 35 - 30 = 5
There are 34 people in the garden.
In order to answer the question, you've to think critically, it should be noted that even if 30 people are killed, they are still in the garden.Also, the fact that you entered the garden still makes the total number 34. Therefore, in this situation, the total number of people in the garden is 34.Read related ink on:
https://brainly.com/question/17377020