Answer:
D) 13
Step-by-step explanation:
The lower temperatures have a negative correlation so the lower the temperature the higher the damage index. Therefore a temperature of 10° Celsius should have a damage index higher than that of 12° Celsius so the only option is 13.
A dilation maps (6, 10) to (3,5). What are the coordinates of the image of (12, 4) under the same dilation?
Answer:
(6,2)
Step-by-step explanation:
To factor the quadratic expression x^2−8x−10 by completing the square, what value would be added? A. 64 B. 8 C. 16 D.-16
Answer:
C
Step-by-step explanation:
When completing the square, we essentially want to create a perfect square trinomial by adding a constant.
If we have the following expression:
[tex]x^2+bx[/tex]
And we want to complete the square, we will need to divide the b-coefficient by half and then square it.
Thus, the added term should be:
[tex](b/2)^2[/tex]
In the given equation, we have:
[tex](x^2-8x)-10[/tex]
The b term here is 8. Therefore:
[tex](8/2)^2\\=(4)^2\\=16[/tex]
The value we would add would be 16.
The answer is C.
Further notes:
To complete the square, add 16 like mentioned earlier. However, we also need to subtract 16 to balance things out:
[tex](x^2-8x)-10\\=(x^2-8x+16)-10-16\\[/tex]
The expression inside the parentheses is now a perfect square trinomial. Factor it:
[tex]=((x)^2-2(4)(x)+(4)^2)-26\\=(x-4)^2-26[/tex]
And we are done!
A quadratic function equation is as follows:
[tex]ax^{2} + bx + c[/tex]
To complete the square, move the constant (c) to the other side of the equation and take half of the b value, square it, and add and subtract the same number.
In this problem, you will add 16.
[tex] \frac{ - 8}{2} = - 4[/tex]
[tex] - 4^{2} = 16[/tex]
A picture has an area of 35cm and is 7cm long.An enlargement of the picture is made which is 21cm long.Find the area of the enlargement
Answer:
315 cm²
Step-by-step explanation:
Given the scale factor of 2 similar figures is a : b , then
ratio of areas = a² : b²
Here the scale factor = 7 : 21 = 1 : 3 , thus
ratio of areas = 1² : 3² = 1 : 9
That is the area of the enlargement is 9 times the original, so
area of enlargement = 35 × 9 = 315 cm²
Answer:
increase by a factor of 3
Step-by-step explanation:
First you have to find the width,
35/7=5cm
Since the length had been increased to 21cm, we need to find the larger area,
21*5=105cm^2
now we just need to find how much has the area increased compare to the original area,
105/35=3
Jim completed half the floor in 9 hours Pete completed the other half of the floor in 5 hours of Pete can lay 35 more tiles per hour than Jim. What equation would you use to find the rate that Jim can lay tiles. Let x represent Jim's rate
Answer:
[tex]\bold{ 9x = (x+35)\times 5 }[/tex]
Step-by-step explanation:
Jim completed half of the floor in 9 hours.
Let the rate of Jim = [tex]x[/tex] tiles/hr
So, number of tiles that Jim lays in 9 hours = Rate of Jim multiplied by number of hours i.e. [tex]9 \times x[/tex] ..... (1)
Let [tex]y[/tex] tiles/hr be the rate at which Pete lays the tiles.
As per the given question, Pete can lay 35 more tiles per hour than Jim.
i.e. [tex]\bold{ y =x+35}[/tex]
It is given that half of the floor is done by Jim and other half by Pete.
So, we can say that number of tiles for both of them are equal.
Number of tiles by Pete = Rate of Pete [tex]\times[/tex] Number of hours = [tex](x+35) \times 5[/tex]...(2)
Now, we can equate the equations (1) and (2) because the number of tiles are same.
i.e.
The equation that we can use is:
[tex]\bold{ 9x = (x+35)\times 5 }[/tex]
can you guys please help me solve these
Answer:
See explanation below
Step-by-step explanation:
In all cases you need to isolate x on one side of the inequality symbol using inverse operations.
1.-
[tex]15+x\leq -45\\15-15+x\leq -45-15\\x\leq -60[/tex]
where we subtracted from both side 15 in order to leave x by itself on the left.
2.-
[tex]x-14>12\\x-14+14>12+14\\x>26[/tex]
where we added 14 in order to isolate x on the left
3.-
In this case we need to divide both sides by -5 in order to isolate the x which is being multiplied by the factor -5, but he have to recall that multiplying or dividing by a negative number changes the direction of the inequality symbol (in our case from < into > )
[tex]-5x<35\\\frac{-5\,x}{-5} >\frac{35}{-5} \\x>-7[/tex]
4.-
[tex]2x>-42\\\frac{2\,x}{2} >\frac{-42}{2} \\x>-21[/tex]
In this case we simply divide both sides by two, and there is no change in the direction of the inequality because the number we are using to divide is a positive number (2)
The caterer charges $200 for the food and $10 per hour for service hours. How many hours did the caterer work if she was paid $270?
Answer:
27
Step-by-step explanation divided 10 and 270
A researcher conducted a survey to 50 respondents about what they like among the three online games, namely the mobile legends, the clash of clans, and the player's unknown battlegrounds (PUBG) out of 50 respondents, 15 people chose PUBG, 30 chose mobile legends and 20 chose clash of clans, How many Respondents chose all 3 online games?
Answer:
15 Respondents
Step-by-step explanation:
Total number of respondents = n (PUBG ∪ M ∪ C) = 50
PUBG = n(PUBG ) = 15 people
Mobile legends = n(M) = 30 people
Clash of clans = n(C) = 20 people
n ( PUBG ∩ M) = Unknown
Step 1
The first step is to find the number of respondents that chose two or the games
a) Number of respondents that chose Mobile legends and PUBG =
n ( M ∩ PUBG)
30 - x = 15 - x + x
30 - 15 = x + x - x
15 = x
b) a) Number of respondents that chose Mobile legends and Clash of clans =
n ( M ∩ C)
n ( M ∩ C) = y
30 - y = 20 - y + y
30 - 20 = y + y - y
10 = y
c) Number of respondents that chose PUBG and Clash of clans =
n ( C ∩ PUBG) = z
20 - z = 15 - z + z
20 - 15 = z + z - z
5 = z
Step 2
How many Respondents chose all 3 online games
= n ( PUBG ∩ M)
n (PUBG ∪ M ∪ C) = n(PUB ) + n ( M ) + n (C) – n ( M ∩ PUBG) – n ( C ∩ PUBG) – n ( M ∩ C) + n (PUBG ∩ M ∩ C)
50 = 30 + 20 + 15 - 15 - 5 - 10 + n (PUBG ∩ M ∩ C)
50 = 65 - 30 + n (PUBG ∩ M ∩ C)
50 = 35 + n (PUBG ∩ M ∩ C)
50 - 35 = n (PUBG ∩ M ∩ C)
n (PUBG ∩ M ∩ C) = 15
Therefore, the number of Respondents chose all 3 online games = 15
Answer:
15
Step-by-step explanation:
solve for brainliest
Answer:
7) 9.135x10^10
8) 3.428x10^-2
9) 2.5x10^-7
10) 4x10^10
Step-by-step explanation:
You’re only supposed to have one number to the left of the decimal point in scientific notation.
7) 9.135x10^10
8) 3.428x10^-2
9) 2.5x10^-7
10) 4x10^10
ZWXY is a right angle. If Z
is in the interior of ZWXY,
mZWXZ = 7x+8, and
m_ZXY = 5x-2, find the
value of x.
Answer:
The value of x = 7
Step-by-step explanation:
To solve this, we will have to fist of all know that the sum of all the angles in a right-angled triangle is 180 degrees.
In addition to that, since the triangle is a right-angled triangle, automatically, one of the angles is = 90 degrees
The next thing to do is to add all the angles together and equate them to 180 degrees.
Angle WXZ + Angle ZXY + 90 = 180 degrees
7x+8 + 5x-2 + 90 = 180
12x + 96 = 180
12x = 84
x = 7
NEED HELP ASAP ALGEBRA 2
Answer:
3√6
Step-by-step explanation:
[tex] {a}^{2} = {b}^{2} + {c}^{2} [/tex]
[tex] = {1}^{2} + {( \sqrt{53} )}^{2} [/tex]
[tex] = 1 + 53[/tex]
[tex] {a}^{2} = 54[/tex]
[tex]a = \sqrt{54} = 3 \sqrt{6} [/tex]
Tamara invested $15,000 in an account that pays 4% annual simple interest. Tamara will not make any additional deposits or withdrawals. How much interest will Tamara earn on her investment at the end of 3 years?
Answer:
$1,800
Step-by-step explanation:
We know that Tamara invested $15,000 and gets %4 of it each year, She plans to withdraw all the money by the end of 3 years.
4 percent of 15,000 is 600
So we can multiply 600 by three and add it to the 15,000
That gives us 16,800
So Tamara will make a $1,800 interest
Solve the following equation for x to find the total number of sale items stocked on the shelves of a toy store for a certain week: x = 0.7x + 24 How many total items were stocked for that week?
Answer: 80 items
Step-by-step explanation:
The equation x=0.7x + 24 can be rewritten as 1x = 0.7x + 24 because the is a number on in front of any variable.
1x = 0.7x + 24 subtract 0.7 from both sides
-0.7 -0.7
0.3x = 24
x = 80
I do not understand :(
Answer:
G'(-3, -2), E'(1, 1), W'(-3, 0)
Step-by-step explanation:
A point has coordinates (x, y).
A translation of h units to the right means add h to x.
A translation of h units to the left means subtract h from x.
A translation of k units up means add k to y.
A translation of k units down means subtract k from y.
The translation you need to do is 1 unit right and 2 units down.
That means add add 1 to x of each point. Subtract 2 from y of each point.
G(-4, 0) ----> G'(-4 + 1, 0 - 2) = G'(-3, -2)
E(0, 3) ----> E'(0 + 1, 3 - 2) = E'(1, 1)
W(-4, 2) ----> W'(-4 + 1, 2 - 2) = W'(-3, 0)
SOMEONE PLZ HELP ME!!!!!
Answer:
5 m/s
Step-by-step explanation:
cos 60 = 300/x
x = 300/cos 60 = 600
600m / 120sec
5 m/s
i just need the answer really
Step-by-step explanation:
In my opinion Option A is the correct answer because
Product of 3 and x = 3x
7.5 more than that = 3x + 7.5
Answer:
the answer is option A
Step-by-step explanation:
product of 3 and x = 3x
7.5 more than the product of 3 and x = 3x+7.5
67.4005 to nearest thousands
Assuming you misspelled thousandths:
Answer:
67.401
Step-by-step explanation:
0.000 <- this is the thousandths place
5 is greater than or equal to 5, which means you round up.
0+1 = 1.
Please solve (a^3 - 2a^2) - (3a^2 - 4a^3).
Hi there! Hopefully this helps!
-------------------------------------------------------------------------------------------------------
Answer: [tex]5a^{3} - 5a^{2}[/tex]. ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~|[tex](a^{3} - 2a^{2}) - (3a^{2} - 4a^{3} )[/tex]
|
| To find the opposite of [tex]3a^{2} -4a^{3}[/tex], find the opposite of each term.
\/
[tex]a^{3} - 2a^{2} - 3a^{2} + 4a^{3}[/tex]
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
|
|Combine [tex]-2a^{2}[/tex] and [tex]-3a^{2}[/tex] to get [tex]-5a^{2}[/tex].
\/
[tex]a^{3} - 5a^{2} + 4a^{3}[/tex]
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
|
|Combine [tex]a^{3}[/tex] and [tex]4a^{3}[/tex] to get [tex]5a^{3}[/tex].
\/
Answer: [tex]5a^{3} - 5a^{2}[/tex]5f+3(−8f−9)≤ −8f−1−4
Answer:
f ≥ -2
Step-by-step explanation:
See steps below:
5f+3(−8f−9) ≤ −8f−1−4 ⇒ open the parenthesis5f - 24f - 27 ≤ - 8f -5 ⇒ simplify- 19f ≤ - 8f - 5 + 27 ⇒ add 27 to both sides-19f + 8f ≤ 22 ⇒ add 8f to both sides-11f ≤ 22f ≥ -22/11 ⇒ divide both sides by -11, dividing by negative changes the inequality sign to oppositef ≥ -2 ⇒ answerAnswer:
f [tex]\geq[/tex] -2
Step-by-step explanation:
5f + 3 (−8f − 9) ≤ −8f −1 −4
=5f -24f -27 ≤ -8f -1 -4
= -19f -27 ≤ -8f -5
=-11f ≤ 22
= f [tex]\geq[/tex] -2
O preço à vista de uma mercadoria é R$ 130,00. O comprador pode pagar 20% no ato da compra e o restante em uma única parcela vencível em 3 meses. Admitindo-se que nesta parcela será acrescido um valor correspondente a 10% sobre o saldo devedor (saldo devedor é o que falta pagar do valor da mercadoria), quanto custará essa parcela? a) R$ 114,40 b) R$ 117,00 c) R$ 110,20 d) R$ 112,23 e) R$ 128,96
Resposta: a) R $ 114,40
Explicação passo a passo:
Dado o seguinte:
Preço à vista da mercadoria = R $ 130
Pagamento inicial = 20% na compra
O saldo pode ser parcelado, o que adicionará 10% ao saldo devedor.
Portanto ; Pagamento inicial :
20% * 130
0,2 * 130 = R $ 26
Saldo devedor = R $ (130 - 26) = R $ 104
Parcela total devida:
Saldo de débito + 10% do saldo de débito
10% do saldo devedor:
0,1 * 104 = R $ 10,40
Parcela total:
R $ (104,00 + 10,40) = R $ 114,40
1. where does the parentheses go in 8+9÷3×6-5 to get a total of 11
2. where does the parentheses go in 5+3-8÷4-2 to get 4
3. where does the parentheses go in 7×5-10+6÷8
Answer:
1. 8+9÷3x(6-5)=11
2. 5+3-(8÷4)=4
Step-by-step explanation:
For which system of inequalities is (3,-7) a solution? A. x + y < -4 3x + 2y < -5 B. x + y ≤ -4 3x + 2y < -5 C. x + y < -4 3x + 2y ≤ -5 D. x + y ≤ -4 3x + 2y ≤ -5
Answer:
D. x + y ≤ -4 3x + 2y ≤ -5Step-by-step explanation:
(3, -7) ⇒ x = 3, y = -7
x + y = 3 + (-7) = -4
3x + 2y = 3•3 + 2(-7) = 9 - 14 = -5
x + y < -4 3x + 2y < -5
A.
-4 < - 4 ← false -5 < -5 ← false
B.
-4 ≤ - 4 ← true -5 < -5 ← false
C.
-4 < - 4 ← false -5 ≤ -5 ← true
D.
-4 ≤ - 4 ← true -5 ≤ -5 ← true
Answer:
D.
x + y ≤ -4
3x + 2y ≤ -5
Step-by-step explanation:
it was right on plato
Solve for xxx. Your answer must be simplified. -12\leq44+x−12≤44+x
Answer:
x≥-56
Step-by-step explanation:
[tex]-12\le \:44+x\\44+x\ge \:-12\\\mathrm{Subtract\:}44\mathrm{\:from\:both\:sides}\\44+x-44\ge \:-12-44\\x\ge \:-56[/tex]
please help!! Thank you
Answer:
2. 3^2
Step-by-step explanation:
Use PEMDAS. First parenthesis, exponents (3^2), multiplication, division, addition, and subtraction.
The answer is 2 because you do the exponents in the parenthesis first.
Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag the item to the trashcan. Click the trashcan to clear all your answers. Simplify and leave in radical form.
Answer:
4√(xy³)
Step-by-step explanation:
8√(x²y⁶)
The above expression can be simplified as follow:
8√(x²y⁶)
Recall:
m√a = a^1/m
Therefore,
8√(x²y⁶) = (x²y⁶)^1/8
Recall:
(aⁿ)^1/m = a^(n/m)
Therefore,
(x²y⁶)^1/8 = x^(2/8)•y^(6/8)
= x^1/4•y^3/4
= (xy³)^1/4
Recall :
a^1/m = m√a
Therefore,
(xy³)^1/4 = 4√(xy³)
Therefore,
8√(x²y⁶) = 4√(xy³)
Step-by-step explanation:
EXERCISE - 2.1
1. Find the degree of each of the polynomials given below
x power 5 - x power 4 + 3
Answer:
5
Step-by-step explanation:
the degree is 5
As degree means the largest exponent of a term
determine whether the square of the following numbers are odd or even. i) 2826 ii)7779 iii)30018 iv)8204
Answer:
Step-by-step explanation:
The square of an even number is an even .
The square of an odd number is an odd.
2826-even
7779-odd
30018-even
8204-even
Which inequality will have a shaded area below the boundary line?
A. y-x>5
B.2x-3y<3
C. 2x-3y
D.7x + 2y <2
E.3x + 4y> 12
Answer:
7x+2y<2 will have a shaded area below the boundary line
Find the missing probability.
P(A)=720,P(A∩B)=49400,P(B)=?
P
(
A
)
=
7
20
,
P
(
A
∩
B
)
=
49
400
,
P
(
B
)
=
?
==========================================
Work Shown:
Given info
P(A) = 7/20
P(A∩B)=49/400
P(B) = unknown
--------------------
P(A∩B) = P(A)*P(B), assuming A and B are independent events
49/400 = (7/20)*P(B)
(7/20)*P(B) = 49/400
P(B) = (20/7)(49/400)
P(B) = (20*49)/(7*400)
P(B) = (20*7*7)/(7*20*20)
P(B) = 7/20
---------------------
Note how
P(A∩B) = P(A)*P(B)
P(A∩B) = (7/20)*(7/20)
P(A∩B) = (7*7)/(20*20)
P(A∩B) = 49/400
which helps to confirm the answer.
A square is divided into three congruent rectangles as shown at the right. Each of the three rectangles has a perimeter of 16 meters. How many meters are in the perimeter of the square?
Answer:
Perimeter of square = 24 meter
Step-by-step explanation:
Given:
Square divided into three equal rectangle
Perimeter of rectangle = 16 meter
Find:
Perimeter of square
Computation:
We know that rectangle are equal
So,
3b = l
Perimeter of rectangle = 2 (l + b)
16 = 2 (l + b)
16 = 2 (3b + b)
b = 2 meter
l = 3 (2) = 6 meter
Side of square = 6 meter
Perimeter of square = 4(side)
Perimeter of square = 4(6)
Perimeter of square = 24 meter
Below are two parallel lines with a third line intersecting them.
2°
50°
The two angles are corresponding angles. Corresponding angles are congruent when we have parallel lines like this. The double arrow markers on the two lines show the lines are parallel.
Corresponding angles are angles that are on the same side of the parallel line, and also on the same side of the transversal line. Both 50 and x are in the upper right corner of each X four corner region.