Answer:
b. 8
Step-by-step explanation:
To solve, we need to plug in the x and y values since we already have the values given to us
1/2(4)(2^2)
We should do the exponents first, 2^2 is 4
Now we are left with 1/2(4)(4)
4 times 4 is 16
16 times 1/2 is the same as 16/2
16/2=8
b. 8
de un tanque lleno de agua se utiliza la cuarta parte para lavar ropa, los 5/ 6 del resto para cocinar y aun quedan 100 litros de agua ¿ cuantos litros de agua tenia el tanque?¿ cuantos litros de agua se utilizan para cocinar?
Answer:
a. 800 litros
b. 500 litros
Step-by-step explanation:
Aquí, se nos dice que 1/4 del total se usa para lavar la ropa.
Lo que queda sería 1-1 / 4 = 3/4 Fuera de esto, 5/6 se usa para cocinar.
La fracción utilizada para cocinar es 5/6 * 3/4 = 15/24 = 5/8
Y todavía nos quedan 100 litros.
La cantidad utilizada ya sería 1/4 + 5/8 = (2 + 5) / 8 = 7/8
Entonces la fracción no utilizada = 1-7 / 8 = 1/8
Ahora, es este 1/8 que corresponde a 100 litros.
Digamos que el volumen total es x litros inicialmente, Eso significa 1/8 * x = 100 x / 8 = 100 x = 800 litros
La fracción utilizada para cocinar es 5/8 del total, por lo que el valor sería 5/8 * 800 = 500 litros
How many 4-digit numbers divisible by 5, all of the digits of which are odd, are there?
Answer:
I guess that we want to create 4 digit numbers that are divisible by 5, only using the odd numbers in the image.
We know that a number is divisible by 5 only if the last digit (the units digit) is a zero or a five, in the image we only have a five, so our 4-digit numbers need to end with a five, so we have a digit fixed in five and the other 3 digits can be other numbers.
We have two different approaches to this:
First, if each odd number can be used only once, we already used the five, so we can use the other 4 numbers.
Then, for the first digit, we have 4 options.
for the second digit, we have 3 options (because we already used one)
for the third digit, we have 2 options (because we already used 2)
then the number of combinations is equal to the product of the number of options for each selection:
C = 4*3*2 = 24 combinations.
The second approach is If the numbers in the image can be repeated (for example, 5555 or 3435 are allowed)
we still have our last digit fixed in 5, and for the first digit we have 5 options, for the second we also have 5 options, and for the third, we also have 5 options, then, with the same reasoning as above, we have:
C = 5*5*5 = 25*5 = 125 combinations.
Three angles of an octagon are equal and the sum of the remaining angles is 705⁰. find the size of one of the equal angles.
Answer:
125°
Step-by-step explanation:
The sum of the interior angles of a polygon is
sum = 180° (n - 2) ← n is the number of sides
Here n = 8 (octagon), thus
sum = 180° × 6 = 1080°
let x represent one of the equal angles, then
3x + 705 = 1080 ( subtract 705 from both sides )
3x = 375 ( divide both sides by 3 )
x = 125
Thus the size of one equal angle = 125°
A box contains 10 red , 3 blue, and 7 white balls , two balls are drawn at random from the box on after the other without replacement. What is the probability that both balls are of the same colour
Answer:
P(XX) = 69/190
Step-by-step explanation:
Given:
20 balls, 10R, 3B, 7W.
Two taken without replacement.
Find probability of two identical colours.
P(XX)
Solution:
We use the multiplication rule for the probability of each of the 2 draws
P(RR) = 10/20*9/19 = 90/380
P(BB) = 3/20*2/19 = 6/380
P(WW) = 7/20*6/19 = 42/380
Probability of drawing two identical coloured balls
P(XX) = (90+6+42)/380 = 138/380 = 69/190
What is the difference from the point (-6,2) to the point (2,17)?
Answer: Distance is 17
Step-by-step explanation:
[tex]d = √((x2-x1)2 + (y2-y1)2)[/tex]
[tex](x2-x1) = (2 -6) = 8[/tex]
[tex](y2-y1) = (17 - 2) = 15[/tex]
Add them all together
[tex](8)2 + (15)2 = 64 + 225 = 289[/tex]
Square 289
[tex]\sqrt{289} =17[/tex]
Hi can someone please help meee
Brian plays basketball. In the past he has made 4 out of every 5 free throws. What is the probability, as a decimal, that Brian will make the next two free throws?
Answer:
0.64
Step-by-step explanation:
4 out of 5 free throws is 0.8 as a decimal.
The probability that Brian will make 2 free throws is 0.8 for the first one, and then 0.8 of that for the second one. That means you multiply the two to get your answer and 0.8 times 0.8 = 0.64.
Yasmin bought several items at the discount store. She paid 8.75 percent sales tax, an amount of $4.59, on the total amount of her purchase. What was the total amount of her purchase before tax was added? $40.16 $52.46 $190.63 $401.63
Answer:
$52.46
Step-by-step explanation:
We are told that ...
8.75% · purchase = $4.59
Dividing by the percentage, we have ...
purchase = $4.59/0.0875 = $52.46
Yasmin's pre-tax total was $52.46.
Answer:
the correct answer is b aka 52.46
Tim wants to build a rectangular fence around his yard. He has 42 feet of fencing. If he wants the length to be twice the width, what is the largest possible length? Write an equation and solve.
Answer:
Rectangular fence dimensions:
x = 14 ft
w = 7 ft
A = 98 ft²
Step-by-step explanation:
Rectangular fence dimensions:
x length and w width
Then x = 2*w ⇒ w = x/2
Perimeter is
p = 2*x + 2*w
p = 2*x + 2* x/2
p = 2*x + x
3*x = 42
x = 14 ft and w = 14/2 ⇒ w = 7 ft
Use the Factor Theorem to determine which of the following are NOT factors of 3x^4 - 5x^3 - 71 x^2 + 157x + 60 a. x - 3 c. x - 2/3 b. x + 1/3 d. x - 4
Answer:
c. x - 2/3
Step-by-step explanation:
The given equation is f(x) = [tex]3x^4 - 5x^3 - 71 x^2 + 157x + 60[/tex]
To test if the given equations are factors of the polynomial, check if the remainder is equal to zero if substituted into the equation.
For x - 3, x = 3
Substituting x = 3 into the given polynomial:
[tex]f(3) = 3(3)^4 - 5(3)^3 - 71 (3)^2 + 157(3) + 60\\f(3) = 0[/tex]
x - 3 is a factor
For x - 4, x = 4
Substituting x = 4 into the given polynomial:
[tex]f(4) = 3(4)^4 - 5(4)^3 - 71 (4)^2 + 157(4) + 60\\f(4) = 0[/tex]
x - 4 is a factor
For x - 2/3, x = 2/3
Substituting x = 2/3 into the given polynomial:
[tex]f(2/3) = 3(2/3)^4 - 5(2/3)^3 - 71 (2/3)^2 + 157(2/3) + 60\\f(2/3) = 132.22[/tex]
x - 2/3 is not a factor
For x + 1/3, x = -1/3
Substituting x = -1/3 into the given polynomial:
[tex]f(-1/3) = 3(-1/3)^4 - 5(-1/3)^3 - 71 (-1/3)^2 + 157(-1/3) + 60\\f(-1/3) = 0[/tex]
x + 1/3 is a factor
Find the area of the shaded region where a = -1.88 and b = 2.12. Note: the graph may not be drawn to scale. Write only a number as your answer. Round to 4 decimal places (for example 0.6148). Do not write as a percentage. (picture in attachment)
Answer:
0.0471
Step-by-step explanation:
Here, we want to find the area of the shaded region.
The area of the shade region = 1- area of the unshaded region
The area of the unshaded region is as follows;
P(b) - P(a)
and that is;
P(-1.88<x<2.12) = 0.95294 from z table
So the area of the shaded region = 1-0.95294 =
0.04706 = 0.0471 to 4 d.p
To solve 6x=30, Keith divided both sides of the equation by 6. Which property justify this step
Answer:
6x to find x on it's own you need to divide by the number infront,
Step-by-step explanation:
Please help me I will mark BRAINLIST :))))
Answer:
47%
Step-by-step explanation:
The total number of student is 4+6+2+2+3+4+6+3 = 30 students
P( male) = male / total
= (4+6+2+2)/ total
=14/30
=.466666666
46.66666%
To the nearest whole percent
47%
Ewen has 48 whistle tiles and 16 blue tiles the cost of each white tile was £2 and the cost of each blue tile was £4 Work out the ratio of the total cost of the white tiles to the total cost of the blue tiles
Answer:
3:2
Step-by-step explanation:
Ewen has 48 white tiles and 16 blue tiles
The cost of each white tile was £2
The cost of each blue tile was £4
Therefore the total cost of 48 white tiles is
= 48×2
= £96
The total cost of 16 blue tiles is
= 16×4
= £64
The ratio of the total cost of the white tiles and blue tile can be calculated by dividing the cost of both tiles by their greatest common factor
The greatest common factor of £96 and £64 is 32
96/32 = 3
64/32= 2
Ratio= 3:2
Hence the ratio of the total cost of the white tiles to the blue tiles is 3:2
If, 3a/b= 12 what is the value of (-a/-b)
Answer:
A ; -4
Step-by-step explanation:
3a = 12b then a = 4b (dividing by 3)
we put 4b in the equation instead of a:
(-4b / b) = -4
.. ..
Answer:
A. -4
Step-by-step explanation:
3a/b = 12
Let b = 2
3a/2 = 12
3a = 24
a = 8
( - a/b)
( - 8/2)
( - 4)
Please help quicklyyy!Zachary sold his stock in a computer company. He received $34 per share. This was $8 less
than twice what he paid for it. What was the price of the computer stock per share when he
bought it?
Answer:
Hey there!
Let x be the price he paid for.
2x-8=34
2x=42
x=21
He bought the stock for 21 dollars.
Hope this helps :)
Answer:
The price per share when he bought it was 21
Step-by-step explanation:
Let x = price he paid for the stock
34 = 2x-8
Add 8 to each side
34+8 = 2x-8 +8
42 = 2x
Divide by 2
42/2 = 2x/2
21 = x
The price per share when he bought it was 21
Para medir la temperatura se pueden utilizar diferentes escalas, por ejemplo, la escala de grados Celsius (°C) y Fahrenheit (°F ). La relación entre estas escalas está dada por la expresión: C igual fracción numerador 5 por F menos 160 entre denominador 9 fin fracción ¿A cuántos grados Fahrenheit equivalen 62 °C?
Answer:
143.6F
Step-by-step explanation:
Entonces la ecuación establecida es;
C = [tex]\frac{5F-160}{9}[/tex]
Entonces, para resolver el Celsius, debes hacer de F el tema que hago a continuación.
[tex]C = \frac{5F - 160}{9}\\C * 9 =( \frac{5F-160}{9}) *9\\9C - 5F = 5F -160 - 5F\\9C-5F =-160 \\-5F = -160 - 9C\\\frac{-5F}{-5} = \frac{-160-9C}{-5}\\[/tex]
∴[tex]F = \frac{-160-9C}{-5}[/tex]
Ahora ingresamos los valores y resolvemos para F
F = [tex]\frac{-160 - 9(62)}{-5}[/tex]
=[tex]\frac{-160-558}{-5}[/tex]
= [tex]\frac{-718}{-5}[/tex]
= 143.6
∴ 62C = 143.6F
25x^2+58+16 how do you factor
Answer:
[tex](25x + 8)(x + 2)[/tex]
Step-by-step explanation:
[tex]25x^{2} + 58x + 16 = 25x^{2} + 50x + 8x + 16 = 25x(x + 2) + 8(x + 2) = (25x + 8)(x + 2)[/tex]
If m ≤ f(x) ≤ M for a ≤ x ≤ b, where m is the absolute minimum and M is the absolute maximum of f on the interval [a, b], then m(b − a) ≤ b f(x) dx a ≤ M(b − a). Use this property to estimate the value of the integral. π/9 5 tan(3x) dx π/12 (smaller value) (larger value)
Answer: the value of the integral is in the range:
0.006 ≤ int ≤ 0.008
Step-by-step explanation:
First, we have the function
5*tan(3x), and the range in this case is: pi/12 ≤ x ≤ pi/9
Then, the first step is find the maximum and minimum of f(x) in this range.
We know that between 0 and pi/2, tan(x) is a growing function, then
then the limits are
5*tan(3*pi/9) = 5*tan(pi/3) = M= 0.091
5*tan(3*pi/12) = 5*tan(pi/4) =m = 0.069
Then the value of the integral is between:
0.069*(3.14/9 - 3.14/12) ≤ int ≤ 0.091*(3.14/9 - 3.14/12)
0.006 ≤ int ≤ 0.008
There is a bag with only red marbles and blue marbles. The probability of randomly choosing a red marble is 1/8. There are 56 marbles in the bag and each is equally likely to be chosen. Work out how many red marbles there must be
Answer:
7 red marbles
Step-by-step explanation:
P( red) = red marbles / total marbles = 1/8
We know there are 56 marbles
red marbles/56 = 1/8
Multiply by 56
red marbles = 1/8 *56 = 7
There are 7 red marbles
?
Match each ratio to an equal ratio. Drag the items on the left to the
correct location on the right.
1:4
4:48
1:3
4:6
2:3
2:8
1:12
2:6
Answer:
2:8 is the ratio to an equal ratio
Write in figures;Nine million twenty thousand four hundred and six and twenty seven thousandths.
Answer:
9,020,406.27
Step-by-step explanation:
Answer:
9,020,406.27
Step-by-step explanation:
Pleas answer this question now fast in two minutes
Answer:
3
Step-by-step explanation:
Adjacent angles have a common side and no common interior points.
first chance you get the best marks
Answer:
First box and last box.Step-by-step explanation:
It is the first box.Distribute 7 to the first number
7 * -3/4 = -21/4
-21/4 = 5 -1/4
Distribute 7 to the second number
7 * -3
= -21
Put the numbers together
5 -1/4x -21 is the answer.It is also the last box.They separated the parenthesis.
So it is still 7 * -3/4
and
7*-3.
Hope this helps,
Kavitha
this diagram shows a scale drawing of a playground the scale is ___ 1:500 work out the perimeter of the real playground give your answer in meters
Answer:
The perimeter of the actual playground is 22000 units
Step-by-step explanation:
By measurement, the width of the scale drawing = 16 units
The breadth of the scale drawing = 6 units
Therefore, given that the scale is 1:500, we have that the actual dimensions of the playground are;
Actual width of the playground = 500×16 = 8,000 units
Actual breadth of the playground = 500×6 = 3,000 units
Therefore;
The perimeter of the actual playground = 2 × 8000 + 2 ×3000 = 22000 units.
PLZ HELP ME I NEED THIS FAST WILL GIVE BRAINLIEST
Step-by-step explanation:
The formula the amusement parc use is 100y-39000=55(x-800)
The slope intercept form of a function is wriiten generally as:
y = mx+c
m is a slope c is a constant and represents the y-intercept x is a variable y is the input of the functionLet's rewrite our equation in the precedent form
100y-39000 = 55(x-800)100y -39000 = 55x-44000 add 39000 in both sides100y-39000+39000 = 55x-44000+39000100y = 55x-5000 divide both sides by 100y = 0.55x-50The slope intercept form of this equation is:
y= 0.55x-50
Answer:
y=55x+38992
Explanation:
You have to turn the equation into the form y=mx+b
Step 1: Get y by itself(divide both sides by 100)
100y-39,000=55(x-800)
100/100y-39,000=55(x-800)/100
y-39,000=55(x-800)/100
Step 2: Get y by itself(+ 39000 to both sides)
y-39,000=55(x-800)/100
+39,000=55x-800/100+39,000
y=55x-800/100=39,000
Step 3: Simplify
y=55x+38992
how to find the angel in trigonometry when all the lengths of the right angled triangle already given.
Answer:
The three trigonometric ratios can be used to calculate the size of an angle in a right-angled triangle
Use rule ; SOHCAHTOA .Where sin x = opp/hyp
cos x = adj/hyp
tan x= opp/adj
Substitute the given values for the three sides
into any of the above rules
[tex]example = Hyp = 2\\opp = 1\\sin- x = 1/2\\x = sin^{-1} 1/2\\x = 30[/tex]
Step-by-step explanation:
I Hope It Helps :)
Factor completely 3x4 − 48
Answer:
[tex]3(x - 2)(x + 2)( {x}^{2} + 4)[/tex]Step-by-step explanation:
[tex] 3{x}^{4} - 48[/tex]
Factor out 3 from the expression:
[tex]3( {x}^{4} - 16)[/tex]
Using [tex] {a}^{2} - {b}^{2} = (a - b)(a + b)[/tex],factor the expression
[tex]3(( {x}^{2} ) ^{2} - {(4)}^{2} )[/tex]
[tex]3( {x}^{2} - 4)( {x}^{2} + 4)[/tex]
Again, factor using the formula of [tex] {a}^{2} - {b}^{2} [/tex]
[tex]3(x - 2)(x + 2)( {x}^{2} + 4)[/tex]
Hope this helps...
Good luck on your assignment...
Answer:
3(x − 2)(x + 2)(x2 + 4)
Step-by-step explanation:
Took the quiz and got it right hope this helps :) , you can check out the other answer for explanation.
Given: Parallelogram LMNO; MO ⊥ LN Prove: LMNO is a rhombus. Parallelogram L M N O is shown. Diagonals are drawn from point L to point N and from point M to point O and intersect at point P. A square is drawn around point P. Sides L M and O N are parallel and sides L O and M N are parallel. ♣: ♦: ♠: I WILL GIVE BRAINLIEST PLS ANSWER
The proofing is as follows:
Given that,
|LO|=|MN| and |LM|=|ON|
It means that Opposite sides of a parallelogram are equa
Now, LN⊥OM
So,
∠LPO = ∠NPO = 90° ( by definition of perpendicular lines)
LPO ≅ ∠NPO (by definition of congruent angles)
|LP|=|PN| (diagonals of a parallelogram bisect each other)
based on this LMNO is a rhombus
Learn more: https://brainly.com/question/10046743?referrer=searchResults
Answer:
All right angles are congruent
Reflexive property
Opposite sides of a parallelogram are congruent
Step-by-step explanation:
That what i got on my assignment
Please help me……………………………………………………………
Hey there! :)
Answer:
x = -6.
Step-by-step explanation:
Given:
[tex]\sqrt[3]{5x-4} = \sqrt[3]{7x + 8}[/tex]
Cube both sides:
5x - 4 = 7x + 8
Subtract 5x from both sides:
-4 = 2x + 8
Subtract 8 from both sides:
-12 = 2x
x = -6.
Gabriella drives her car 400 miles and averages a certain speed. If the average speed had been 7 mph less she could have traveled only 350 miles in the same length of time what is her average speed
Answer:
Gabriella's average original speed was 56 [tex]\frac{mi}{h}[/tex]
Step-by-step explanation:
Let's use the equation that defines the average speed "v" of Gabriella during the time (t) that her trip took:
[tex]v = \frac{distance}{time} \\v=\frac{400}{t}[/tex]
Next let's write a similar average speed equation for the case in which she drove at (v - 7 mi/h) during the same time "t" and covered 350 miles:
[tex](v-7)=\frac{350}{t}[/tex]
Notice that the time "t" in the denominator appears equally in both equations we wrote, so let's isolate them on the right:
[tex]\frac{v}{400} =\frac{1}{t} \\and\\\frac{(v-7)}{350} =\frac{1}{t}[/tex]
now equal both expression since they both share the same value on the right, and solve for the unknown "v":
[tex]\frac{v}{400} =\frac{(v-7)}{350} \\350\,v=400\,(v-7)=\\350\,v=400\,v-2800\\2800=50\,v\\v=\frac{2800}{50} \,\,\frac{mi}{h}\\v=56\,\,\frac{mi}{h}[/tex]