[tex]\begin{cases} p= < 6,6 > \\ q= < -5,-3 > \end{cases}\qquad \qquad \stackrel{2p}{2 < 6,6 > }~~ + ~~\stackrel{3q}{3 < -5,-3 > } \\\\\\ \stackrel{2p}{ < (2)(6)~~,~~(2)(6) > }~~ + ~~\stackrel{3q}{ < (3)(-5)~~,~~(3)(-3) > } \\\\\\ < 12~~,~~12 > ~~ + ~~ < -15~~,~~-9 > \implies < 12-15~~,~~12-9 > \\\\\\ \stackrel{2p~~ + ~~3q}{\boxed{ < -3~~,~~3 > }}\qquad \qquad ||\stackrel{magnitude}{ < -3,3 > }||\implies \sqrt{(-3)^2 + (3)^2}\implies 3\sqrt{2}[/tex]
Sadie earns $10.50 per hour. Do her earnings vary inversely or directly with her number of hours worked? Determine how many hours she worked in a week if her earnings were $210.
Sadie's earnings varys directly with the number of hours worked.
The number of hours worked in a week where her earnings would be $210 is 20 hours.
What is direct variation?
Direct variation is when two variables move in the same direction. If one variable increases, the other variable increases. Sadie's earnings increase with hours worked. This is a direct variation.
How many hours would be worked when earnings is 210?
Hours worked = Total earnings / earning per hour
210 / 10.50 = 20 hours
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Which equation describes the circle
with center (5,-1) and radius 7?
Answer:
B
Step-by-step explanation:
circle equation is :
[tex](x - a) ^{2} + (y - b) ^{2} = r^{2} [/tex]
With (a) being the x coordinate of the centre and (b) being the y coordinate of the centre, r is the radius;
make sure to square the radius when using it in this formula
Let p be the population proportion for the following condition. Find the point estimates for p and q. In a survey of 1170 adults from country A, 265 said that they were not confident that the food they eat in country A is safe.
Answer:
yes
Step-by-step explanation:
lol
Andrea invites some of her relatives to a party she invites 12 cousins,6 aunts, 4 brothers and 2 sisters which group of relatives makes up 25% of her guests?
Answer:
the 6 aunts
Step-by-step explanation:
because all of them together add up to 24. 25 percent of 24 is 6.
State the domain and range of: y = arcsin (x²)
Answer:
Domain is -1 ≤ x ≤ 1.
Range is 0 ≤ y ≤ π/2.
Step-by-step explanation:
The arcsin only exists for -1 ≤ x ≤ 1 so this domain is
-1 ≤ x ≤ 1.
When x = 1 or -1 , y = arcsin(1^2) = π/2
When x = 0 , y = 0.
Each bowl can hold 3 tomatoes. There are a total of 16 tomatoes. How
many bowls do you need!
6 bowls can hold 16 tomatoes.
Given:
Total tomatoes: 16
Each bowl holds: 3 tomatoes
Explanation:
To find the number of bowls needed divide total tomatoes by tomatoes each bowl can hold.
Solve:
16 ÷ 3 = 5.333...
So, we need more than 5 bowls, [6 bowls] to hold the tomatoes.
Answer:
6 bowls
Step-by-step explanation:
So . .
If 1 bowl can hold 3 tomatoesThen . .
Simply divide 16 by 316/3 = 5.33You will need 6 bowlsReason. .
Because you must be able to hold all 16! Therefor you round!
Hope this helps!
sean has a total of 60 books on his book shelf of these, 25 are mystery books, 20 are fantasy books, 10 are biography books, and 5 are science books.
Answer:
Step-by-step explanation:
total type of books are 4 types
the probability of one book is 60
so the probability of type of a book is 4/60=1/15
One serving of a certain brand of microwave popcorn provides 150 calories, 90 of which are from fat. One serving of a certain brand of low-sodium pretzels provides 120 calories, 12 of which are from fat. How many more calories from fat are provided by a 100- calorie serving of the microwave popcorn than are provided by a 100-calorie serving of the pretzels?
Answer:
50 calories
Step-by-step explanation:
One serving of a certain brand of microwave popcorn provides 150 calories, 90 of which are from fat. The fraction that comes from fat:
= 90/150 = 3/5
One serving of a certain brand of low-sodium pretzels provides 120 calories, 12 of which are from fat. The fraction that comes from fat here:
= 12/120 = 1/10
The fat that are provided by a 100 calorie serving of the microwave popcorn would be:
= 3/5 × 100
= 60
The fat that are provided by a 100-calorie serving of the pretzels would be:
= 1/10 × 100 = 10
The difference from fat that are provided by a 100 calorie serving of the microwave popcorn than are provided by a 100-calorie serving of the pretzels would be:
= 60 - 10
= 50 calories
y is directly proportional to the square root of x.
y is 24 when x is 36.
Find a formula linking x and y.
Answer:
y=4√x
Step-by-step explanation:
[tex]y = k \sqrt{x} [/tex]
[tex]24 = \sqrt{36} k[/tex]
[tex]24 = 6k[/tex]
[tex]k = 4[/tex]
[tex]y = 4 \sqrt{x} [/tex]
What line would be perpendicular to y − 3=4(x+2)?
A. y − 3=−4(x+2)
B. y − 3=1/4(x+2)
C. y − 3=−1/4(x+2)
D. y − 3=4(x+2)
The line perpendicular to y - 3 = 4(x+2) is y-3 = -1/4(x+2)
When are two lines said to be perpendicular?Two lines are said to be perpendicular if the product of their gradient is -1.
which means m1 x m2 = -1
Analysis:
y - 3 = 4(x+2)
y = 4x + 8+3
y = 4x + 11 m1 = 4
so m1 x m2 = -1
m2 = -1/4
so from the options, the equation with a gradient x = -1/4 is C, y-3 = -1/4(x+2)
In conclusion, the line that would be perpendicular to y - 3 = 4(x+2)
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HELPPPP MEEEEEE!!!!!
Will someone help me with this
hope this helps :)
.........
In a sale, a shop reduces all its prices by 10%.
On the last day of the sale, the shop reduces the sale prices by 20%
On the last day of the sale, a mobile phone costs £432
How much was the mobile phone before the sale?
Answer:
The phone roughly cost 302 dollars
Step-by-step explanation:
10% of 432=43.2
20% of 432=86.4
432-129.6=302.4
Find the gradients on the lines a and b ( I already got b.)
Answer:
a=3
Step-by-step explanation:
gradient = rise /run
for a =6/2 =3
Collect like terms
6xy - xy - 5x + x
5xy - 4x
Step-by-step explanation:
6xy-xy= 5by
-5x+ x= -4x
Hey there!
6xy - xy - 5x + x
= 6xy - 1xy - 5x + 1x
COMBINE the LIKE TERMS
= (6xy - 1xy) - (5x + 1x)
= 6xy - 1xy - 5x + 1x
= 6xy - xy - 5x + x
= 5xy - 4x
Therefore, the answer should be:
5xy - 4x
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
Lucia has 48 markers and 64 stickers that she wants to give as favors for a party. She wants to put an equal number of markers and an equal number of stickers into each favor bag. She uses all the markers and stickers.
Use the drop-down menus to complete the statements below about the number of bags Lucia can make.
She could put 6 markers and 8 stickers in each bag to make 8 bags in total.
Which prism can be made using the net shown below?
A. triangular prism
B. Triangular prism
Cube
C. Triangular pyramid
D. Rectangular prism
Answer:
A or B because it is the same aswner
Step-by-step explanation:
Answer:a
Step-by-step explanation:
Use the expression 4(8 +13x) to answer the following:
Part A: Describe the two factors in this expression. (4 points)
Part B: How many terms are in each factor of this expression? (4 points)
Part C: What is the coefficient of the variable term? (2 points)
Answer: 4(8 + 3x)
To Find : Describe the two factors in this expression
How many terms are in each factor of this expression
coefficient of the variable term
Solution:
4(8 + 3x)
two factors in this expression are
4 and ( 8 + 3x)
terms in each factor of this expression
1 term in 4
2 terms in (8 + 3x)
coefficient of the variable term is 3 in factorized form
4(8 + 3x) = 32 + 12x
and coefficient of the variable term is 12 in expanded form
learn More:
find the value of x by factorization, x2-8x+1280=0 - Brainly.in
brainly.in/question/7343350
Using factor theorem, factorize each of the following polynomial ...
brainly.in/question/15904651
Factorise: 1. a3 – 4a2 + 12 – 3a 2. a3x – x4 + a2x2
Step-by-step explanation:
If x is a positive integer and y is a negative integer,which of the following comparisons must be true?
Answer:
C. x - y > x
Step-by-step explanation:
You can compare the values of these expressions by using numerical values for x and y.
__
We can let x = 1 (a positive integer), and y = -1 (a negative integer).
Ay > x + y
-1 > 1 + (-1)
- 1 > 0 . . . . . . false
By < xy
-1 < (1)(-1)
-1 < -1 . . . . . . false
Cx - y > x
1 - (-1) > 1
2 > 1 . . . . . . true
D-xy < x
-(1)(-1) < 1
1 < 1 . . . . . . . false
Add and simplify your answer. Show your work 1 / 8 + 1 / 8
Answer:
1/4.
Step-by-step explanation:
1/8 plus 1/8 is 2/8. This is because if we add the numerators it is 2, and therefore it is 2/8. This simplifies to 1/4 if you divide the numerator and denominator by 2. Hope this helps!
Answer: 1/4
Step-by-step explanation: 1/8 + 1/8= 2/8 and if you simplify that it would be 1/4 sorry if this doesn't help
One ruler and 2 pencils cost £1. 40 and one ruler and 6 pencils cost £3. 20 what is the cost of the ruler and pencil?
Answer:
ruler: £0.50
pencil: £0.45
what’s the answer to this problem , figure out the area and perimeter of this triangle
Answer:
A: 0.3318 m^2 P: 2.66
Step-by-step explanation:
The perimeter is only adding each of the side lengths, so that's not much of an issue. The equation for the area of a triangle is A = (b x h)/2, with "b" being the base length and "h" representing the triangle's height. We must first multiply the base and height, 0.84 x 0.79. This makes 0.6636 which we will then divide by 2. Our area is now proven to be 0.3318 square meters.
Find the value of x in the parallelogram below
Answer:
x=18
Step-by-step explanation:
we know that in parallelogram opposite sides are equal
Hence on equating we get
x=18
urgent!! Write a number that is greater than -7.81 and less than -7 .
Answer:
-7.6
Step-by-step explanation:
there are many correct answers for this problem
The number that is greater than -7.81 and less than -7 is -7.41. This can be written as -7.81 < -7.81 < -7. This is obtained by taking the midpoint or middle integer of the given integers.
How to find integers between two integers:Firstly add the two integers with respect to their signThen divide the result by 2. that is nothing but taking its average.This results in the integer which is in between the given integers.Calculation:Given that a number that is greater than -7.81
so, we can write -7.81 <?
And it is also given that the same number which is less than -7. we can write it as -7 >?
So, from this two we can state that the number which is required lies in between the given two integers.
so, we can write -7.81 <?< -7
To find this, we are applying the average for the two integers.
⇒ -7.81 - 7 = -14.81
⇒ -14.81/2 =-7.405 ≅ -7.41
The obtained number satisfies the given conditions
-7.81 < -7.41 and -7 > -7.41
Therefore, the required number is -7.41.
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Hannah and Anthony are siblings who have ages that are consecutive odd integers. The sum of their ages is 92. Witch could be used to find Hannah's age, h if she is the older sibling?
Answer:
The equation to find Hannah's age is 2h - 2 = 92.
This yields Hannah's age as 47 years.
Step-by-step explanation:
Let h = Hannah's age.
Hannah is older than her sibling, and their ages are consecutive odd integers. Therefore, h = an odd number and the sibling's age = h-2.
The sum of their ages is 92, therefore
h + (h-2) = 92
2h - 2 = 92
2h = 94
h = 47 years
What is the length of DE?
Answer:
D. 6
Step-by-step explanation:
Suppose the triangles are similar:
The side lenghts would be proportional as follows
XZ/DF = XY/DE
12/8 = 9/x cross multiply expressions
12x = 72 divide both sides by 12
x = 6
Interest is compounded semianually. Find the amount in the account after the given time.
Answer:
5,630.81$
A = 5000(1 + (0.04 × 3)) = 5600
A = $5,630.81
A tiny house has a length of 12 feet. the width of the kitchen is 9 feet ad the width of the bathroom is 3 feet.
Answer:
So i think it woulds be a 12 by 12 house beceasue 9+3=12 so it would be 12 by 12
Hope This Helped Sorry if It Is Not What You Wanted.
Answer:
144 ft ²
Step-by-step explanation:
Given:
A tiny house has a length of 12 feet. the width of the kitchen is 9 feet ad the width of the bathroom is 3 feet.
Solve:
The expression 12(9+3) represents the total area in square feet.
Hence you can use the expression 12(9+3) to find the area.
12(9+3) {Solve in the parentheses}
12(12) {Multiply}
= 144
Hence, the area is 144 ft ²
Kavinsky
PLEASE PLEASE PLEASE PLEASE HELP ME WITH THISSSSS
In ∆DAC and ∆BCA
Diagonals of a parallelogram bisect each other
AE=ECDE=EBOpposite angles are equal
<ABC=<ADCAlso
AE is common sideAnd
Opposite sides are equal in a parallelogram
AD=BCSo by Side-angle-side similarity
Both triangles are equal
Hence
<DAC=<BCA(Proved)What is the product? startfraction 4 k 2 over k squared minus 4 endfraction times startfraction k minus 2 over 2 k 1 endfraction startfraction 4 over 2 k 1 endfraction startfraction 2 over k minus 2 endfraction startfraction 2 over 2 k 1 endfraction startfraction 2 over k 2 endfraction
The product of the expression [tex](\frac{4k+2}{k^2-4})* \frac{k-2}{2k+1}[/tex] is the expression [tex]\frac{2}{k+2}[/tex]
What is an equation?An equation is an expression that shows the relationship between two or more variables and numbers.
Given the expression:
[tex](\frac{4k+2}{k^2-4})* \frac{k-2}{2k+1} \\\\This\ can\ be\ simplified\ to:\\\\(\frac{2(2k+1)(k-2)}{(k+2)(k-2)(2k+1)}) \\\\=\frac{2}{k+2}[/tex]
The product of the expression [tex](\frac{4k+2}{k^2-4})* \frac{k-2}{2k+1}[/tex] is the expression [tex]\frac{2}{k+2}[/tex]
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