Answer:
x = 12
Step-by-step explanation:
by direct solution
otherwise this system many solution
Answer:
one
Step-by-step explanation:
4x+8=-4+5x
or, 5x-4x = 8+4
hence,
x=12
Please help me I need this due
You pick a card at random.
2 3 4 5
6 7 8 9
What is P(5)
Write your answer as a percentage.
Step-by-step explanation:
There are a total of 8 cards, you are picking only one card,
therefore P(5) =
[tex] \frac{1}{8} \times 100 \\ = \frac{100}{8} \\ = 12.5percent[/tex]
Please help me I'm really struggling.
Answer:
eight chairs.
Step-by-step explanation:
five quarts= 40/8 quarts
one chair= 5/8 quarts
40/8-5/8x=0
(-40/8)/(-5/8)=x
eight chairs
The domain of y = f(x) = _ is
(a) R - {0}
(b) R
(c) (-2,1)
(d) (-1.1)
Answer:
The domain of a function is the set of all possible x values that satisfy the equation. We cannot answer this question without first knowing what the equation for f(x) is.
Step-by-step explanation:
Take for example the function y = f(x) = [tex]x^{2} +3[/tex]. Here, you can plug in literally any value for x and still get our a real number. Thus, the domain of f(x) is (-∞, ∞).
However, if your function is y = f(x) = [tex]\frac{2}{\sqrt{x+3} }[/tex] , not every x value is acceptable. First, we cannot have the denominator (bottom part) of the fraction be zero, because division by zero is undefined. Thus, x = -3 is not an acceptable value for x.
We also cannot take the square root of a negative number. Thus, we have the rule that x + 3 must be greater than or equal to zero.
[tex]x+3 > 0\\\\x > -3\\[/tex]
Normally we would use greater than or equal to zero, but because this is in the denominator, we don't want it to equal zero (and thus x = -3 is not acceptable).
So, the domain of x is (-3, ∞). The parenthesis tell us we do not include the negative three and we do not include infinity. In other words, the domain of x is all numbers greater than -3 but less than infinity.
So, first look at your equation for f(x), then see which values of x don't break the rules of math like division by zero or square roots of negative numbers. Good luck!
0. Folded boxes a. Squares with sides of length x are cut out of each corner of a rectangular piece of cardboard measuring 5 ft by 8 ft. The resulting piece of cardboard is then folded into a box without a lid. Find the volume of the largest box that can be formed in this way. b. Squares with sides of length x are cut out of each corner of a square piece of cardboard with sides of length /. Find the volume of the largest open box that can be formed in this way.
Answer:
Box dimensions:
L = 3 ft
D = 6 ft
H = 1 ft
Volume V = 18 ft³
Step-by-step explanation:
a) Each side of the future box is
L = 5 - 2*x D = 8 - 2*x
height of the box is x
Then the volume of the box as function of x is:
V(x) = ( 5 - 2*x ) * ( 8 - 2*x ) * x
V(x) = ( 40 - 10*x - 16*x + 4*x² ) * x
V(x) = 40*x - 26*x² + 4*x³
Tacking derivatives on both sides of the equation:
V´(x) = 40 - 52*x + 12x² or V´(x) = 20 - 26*x + 6*x²
If V´(x) = 0
6*x² - 26*x + 20 = 0
Solving for x
x₁,₂ = (-b ± √ b² - 4*a*c ] /2*a
x₁,₂ = ( 26 ± √ 676 - 480 ) / 12
x₁,₂ = (26 ± 14 )/ 12
x₁ = 1
x₂ = 3,33 ( we dismiss this solution since is not feasible according to cardboard dimensions )
Then the sides of the box are:
L = 5 -2*x L = 5 - 2*1 L = 3 ft
D = 8 - 2*x D = 8 - 2*1 D = 6 ft
H = x = 1 ft
And the volume is V = 6*3*1 = 18 ft³
What percent of the model is shaded green?
Answer:
1/5%
Step-by-step explanation:
The percentage of the model shaded green will be 20.
How to find how much percent 'a' is of 'b'?Suppose a number is 'a'
Suppose another number is 'b'
We want to know how much percent of 'b' is 'a'.
Then, it is calculated as:
[tex]\dfrac{a}{b} \times 100[/tex]
(in percentage)
The total number of the box in the figure is 100.
The total number of shaded green = 20
So,
[tex]\dfrac{20}{100} \times 100[/tex]
20%
Therefore, The percentage of the model shaded green will be 20.
Learn more about percent here:
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A company that makes hair-care products had 4,000 people try a new shampoo. Of the 4,000 people, 16 had a mild allergic reaction. What percent of the people had a mild allergic reaction?
Answer:
0.4% or in decimal form 0.004
Step-by-step explanation:
took the test and got it right!
Neal's room has sides 10 1/4 ft and 12 5/6 ft. What is the perimeter?
Answer:
66 1/6ft
Step-by-step explanation:
I have calculated by saying perimeter =2(length+width). I think that's the answer hope it helps.
Answer: 46 1/4
Step-by-step explanation:
Perimeter = (L+W) x 2
So basically ... (10 1/4 + 12 5/6) x 2
Which would be ... 23 1/12 x 2
Which gives you the answer of 46 and 1/4
Im normally good at alg ish but im confused
Answer:
The problem is telling you to find g ( f ( x ) )
Since we know that f(x) is square root of x, we can put the function this way.
g(√x)
Then, we use √x as our x in our g(x) function.
You plug in √x for x and you solve.
(√x ) ^2 is just x.
Finally the answer is
x-3
hope this helps :)
Step-by-step explanation:
Find the area of the polygon to the nearest square inch.
Answer:
137 in.^2
Step-by-step explanation:
A = nsa/2
where
n = number of sides = 9
s = length of side = 4.7 in.
a = length of apothem = 6.5 in.
A = (9)(4.7 in.)(6.5 in.)/2
A = 137.475 in.^2
Answer: 137 in.^2
an artist is painting a mural on a wall to make sure that the picture is painted accurately to her vision she creates a grid for the wall with each unit measuring a meter in the mural at the second event at 2 to and the event at -2 for the artist plans to fail in the Triangular space between the three events with colored pattern what is the area of the space?
helppppppp will give BRAINLIEST!!!
Answer:
c
Step-by-step explanation:
range is the largest -the smallest
median is the line between 9 and 10
first quartile is on 6
I’m working on these as well! Hope this helps! Happy Friday! <3
Answer:
Should be the 3rd quartile.
Step-by-step
Because the first quartile ends at 10.5, because of the line, I believe, and 18 is past 11. So, it should be the 3rd quartile.
HELP ME OUT PLEASE URGENT
Add 7 by g then divide 10 by the result write an expression
Answer:
7 = 1 = 21
Step-by-step explanation:
Answer:
10 / (7 + g)
Step-by-step explanation:
what is 10 / 2 + (2x4) -3 ?
Answer:
10
Step-by-step explanation:
10 / 2 = 5
(2x4) = 8
(5 + 8) - 3
13 - 3
10
Answer:
10
Step-by-step explanation:
5+8-3=10
100 times 5 dino nuggie is how much
Answer:
500 dino nuggies.
Step-by-step explanation:
Hope this helps
Answer:
500 dino nuggies!!!
Step-by-step explanation:
In the diagram below, AB is parallel to CD. What is the value of y?
A. 45
B. 55
C. 135
D. 65
Answer:
A. 45
- as AB and CD are parallel to each other, the value of y will be equal to 45° in CD
The value of y in the given diagram is 45.
Option A is the correct answer.
What are corresponding angles?The angles that are in the same position on a given two parallel lines intersected by a transversal line are called the corresponding angles.
Corresponding angles are always equal.
We can also have alternate angles which are always equal.
We can also have alternate interior and exterior angles which are equal.
The angles on the same side make upto 180 degrees
We have,
Let the corresponding angle with y is m.
Now,
y = m
Now,
45 and m are opposite angles.
So,
m = 45
Now,
The corresponding angle with y is m.
This means,
y = m
y = 45
Thus,
The value of y is 45.
Learn more about corresponding angles here:
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Jane drew a marble at random from a bag containing 4 blue, 6 red, and 10 point
5 green marbles. She drew from the bag 30 times, Here are the results of
her draw: 12 reds, 10 greens, and 9 blue. What is the experimental
probability that she will draw a green in her next draw? *
Answer: the chances are 5 out of 15 so in 30 draws she would draw 10 green hope it helps
Please help meeeeeeeeeeeeeeeee
Answer:
Step-by-step explanation:
h = 4.2 in
Volume = 3.6 cubic inches
[tex]\frac{1}{3}\pi r^{2}h = 3.6\\\\\frac{1}{3}*3.14*r^{2}*4.2 = 3.6\\\\r^{2}= \frac{3.6*3}{3.14*4.2}\\\\ = 0.81\\r=\sqrt{0.81}\\\\[/tex]
r = 0.9 in
Answer:
.... ..................
5. If the tree's circumference is 141.3ft, what is its diameter?
Answer:
d ≈ 45 ft
General Formulas and Concepts:
Symbols
π (pi) ≈ 3.14Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityGeometry
Circumference of a Circle Formula: C = πdStep-by-step explanation:
Step 1: Define
Circumference C = 141.3 ft
Step 2: Solve for d
Substitute in C [Circumference Formula]: 141.3 ft = πdSubstitute in π (approximation): 141.3 ft ≈ 3.14d[Division Property of Equality] Divide both sides by 3.14: 45 ft ≈ dRewrite: d ≈ 45 ftComplete the expressions that would make them a perfect square trinomial.
a.
x² – 8x+
b. x2 + 20x +
C.
x² – 16x +
d. x2 + 9x +
Answer:
a) 16
b) 100
c) 64
d) [tex]\frac{81}{4}[/tex][/tex]
Step-by-step explanation:
Perfect square trinomial:
A perfect square trinomial has the following format:
[tex](x \pm a)^2 = x^2 \pm 2ax + a^2[/tex]
a.
x² – 8x
[tex]x^2 - 8x = x^2 - 2ax[/tex]
So 2a = 8, a = 4. Then
[tex]a^2 = 4^2 = 16[/tex]
The perfect square trinomial is [tex]x^2 - 8x + 16[/tex]
b. x2 + 20x +
2a = 20, so a = 10
[tex]a^2 = 10^2 = 100[/tex]
The perfect square trinomial is [tex]x^2 + 20x + 100[/tex]
C.
x² – 16x +
2a = -16, so a = -8.
[tex]a^2 = (-8)^2 = 64[/tex]
The perfect square trinomial is [tex]x^2 - 16x + 64[/tex]
d. x2 + 9x +
[tex]2a = 9[/tex], so [tex]a = \frac{9}{2}[/tex]
[tex]a^2 = (\frac{9}{2})^2 = \frac{81}{4}[/tex]
The perfect square trinomial is [tex]x^2 + 9x + \frac{81}{4}[/tex][/tex]
No scams. Show your work. write answer as a percent and round the nearest whole number if needed.
Answer:
Step-by-step explanation:
we will find the area of the inner circle and then the area of the outer circle and see what the ratio is between those 2
area of a circle = [tex]\pi[/tex][tex]r^{2}[/tex] (where r is the radius, NOT the diameter, easy to confuse)
the radius of the inner circle is 2.5. which is half of the diameter of 5
inner circle = [tex]\pi[/tex]*(2.5)^2
inner circle = 19.6349...
outer circle = [tex]\pi[/tex]*(10^2)
outer circle = 314.1592...
the ratio is 19.6349... / 314.1592... = 0.0625
0.0625 = 6.25%
= 6% ( rounded to nearest whole number )
Can someone solve for x? And maybe explain it in a simple way?
Answer:
x=10
Step-by-step explanation:
Because of the two parallel lines, the ratio between the sides must be the same. Since the bottom is 12 to 18 (a ration of two to three) we know that x and x+5 would have the same ratio. Logically, x would have to equal 10 so that x+5 would equal 15 and a ratio of two to three would exist there too. If you go to solve a problem and the answer isn’t obvious, jut set up a ratio.
12/18=x/(x+5)
then cross multiply and solve
12(x+5)=18x
12x+60=18x
60=18x-12x
60=6x
10=x
Answer:
x=10
Step-by-step explanation:
You can set it up as a proportion, since the lines are parallel, the sections are proportionate to each other.
[tex]\frac{x}{12} = \frac{x+5}{18} \\18x=12(x+5)\\18x=12x+60\\6x=60\\x=10[/tex]
5+6(2x-1)
i need this like now pls
Answer:
Step-by-step explanation:
5 + 6 = 11 x 2 - 1 = 21 therefore its 21
I'm unsure how to solve for w, can someone please help?
Answer:
w = 1/2
Step-by-step explanation:
One of the ways to solve problems using log is to use these two equations that use the same variables and plug in numbers.
log b (a) = c
b^c = a
By plugging in the numbers we get this:
log 16 (4) = w
16^w = 4
w = 1/2
find the number set which satisfies each of these problems:
if three is added to the absolute value of the product of a number and -9, the result will be 4
Answer:
The answer is -5.
Step-by-step explanation:
The absolute value of -9 is 9.
Then it would be like 4= x + 9.
If you solve it, you get -5.
A cold water tap can fill a tub in 6 minutes, and a hot water tap can fill the tub in 8 minutes. A drain can empty a full tub in 10 minutes. If both taps are on and the drai is open, how long will it take to fill the tub? It will take
how many minutes?
Answer:
12 minutes
Step-by-step explanation:
The Hot tap fills 1/30th of the bath in 1 minute. The cold tap fills 1/20th of the bath in one minute. In one minute both taps together will fill (1/30 + 1/20) of the bath, which is 5/60ths or 1/12th of the bath. Since it takes one minute to fill 1/12th of the bath, it’ll take 12 minutes to fill the bath
Please this is due in like 10 minutes please help me
Answer:
628
Step-by-step explanation:
1) Find the circumference of the wheel (the distance it travels in 1 revolution)
[tex]C=\pi d[/tex] where d is the diameter
Plug in 2 ft as the diameter
[tex]C=(3.14) (2)\\C=6.28[/tex]
Therefore, the circumference of the wheel is 6.28 ft.
2) Multiply the circumference by 100
6.28 × 100
= 628 ft
Therefore, Joe would travel 628 feet if his wheel turns exactly 100 complete revolutions in one direction.
I hope this helps!
8a+11-2b for
a =4.b=2
Answer:
39
Step-by-step explanation:
8(4) + 11 -2(2)
32 + 11 - 4
43 - 4
39
1. What number will make this expression a perfect square trinomial? Show your work. x2 - 6x +
Answer:
.......
Step-by-step explanation:
Answer:
9
Step-by-step explanation:
Take half of b (6/2=3)
Square it (3^2=9)
