Answer:
0 and 1.5850
Step-by-step explanation:
Given the expression
2^2x-4^(2^x)+3=0
Let P = 2^x
P² - 4P + 3 = 0
Factorize
P² -3P-P +3 = 0
P(P-3)-1(P-3) = 0
P-1 = 0 and P-3 = 0
P = 1 and 3
If P = 1
2^x = 1
log 2^x = log 1
xlog 2 =0
x = 0/log 2
x = 0
Also if P = 3
2^x = 3
x log 2 = log 3
x = log3/log 2
x = 0.4771/0.3010
x = 1.5850
Hence the positive value of x are 0 and 1.5850
An art teacher recorded whether the students in three of her classes prefer water color or oil painting. The art teacher plans to create a two-way table to analyze her results. Which variables can the art teacher use as the row and column headings of the table? O painting preference and total number of students O painting preference and number of students in class 1 O class number and painting preference O class number and number who prefer oil
Answer:
C. class number and painting preference
Step-by-step explanation:
just got done with the quiz
Rewrite the equation by completing the square.
x² +3x -28 = 0
Answer:
x = -7 and x = 4
Step-by-step explanation:
that's the answer
The perimeter of a rectangle is 62.the length is 5 less than 3times the width. Find the width and the length
Answer:
length = 22, width = 9
step by step explanation :
perimeter = 62
length = 3×width -5
∴ 2 ( length + width ) = perimeter
2 ( 3w-5 + w ) = 62
3w -5 + w = 62/2 = 31
3w -5 + w = 31
4w = 31 + 5 = 36
4w = 36
w =36/4
w = 9
l= 3w-5 = (3×9)-5 = 27-5= 22
verifying -
2( l + b) = perimeter
2 ( 22 + 9 ) = 2 * 31 = 62
hope this answer helps you....
Amir subtracted a quantity from the polynomial 3x² + 8x - 16 and produced the expression x^2- 4. What quantity did Amir subtract? Explain how
you got your answer.
Answer:
[tex]2x^2+ 8x -12[/tex]
Step-by-step explanation:
Given
[tex]P = 3x^2 + 8x - 16[/tex]
[tex]Result = x^2 - 4[/tex]
Required
The quantity subtracted
Let the subtracted quantity be Q. So, we have:
[tex]P - Q = Result[/tex]
[tex]3x^2 + 8x - 16 - Q = x^2 - 4[/tex]
Collect like terms
[tex]Q = 3x^2 - x^2+ 8x - 16 + 4[/tex]
[tex]Q = 2x^2+ 8x -12[/tex]
The quantity subtracted is: [tex]2x^2+ 8x -12[/tex]
The length of a rectangle is (2x-3) and the width is (x+6) which of the following is a representation of area
Answer:
(2x+3)(x+6) or 2x^2 + 15x + 18
Step-by-step explanation:
Area = Length x Width
Length = (2x-3)
Width = (x+6)
(2x-3)(x+6)
2x^2 + 12x - 3x - 18
2x^2 + 15x + 18
Final Answer: (2x+3)(x+6) or 2x^2 + 15x + 18
D = L ( m/k + v^2/25)
Make v the subject of the formula.
Answer:
Answer and steps in picture.
A 20 in wagon wheel has 6 spokes. What is the outside distance between the end of the spokes if they are spaced evenly(arc length)?
Answer:
10.47 inches
Step-by-step explanation:
circumference = πD = 3.14(20) = 62.8 inches
62.8 inches/6 spaces = 10.47 inches per space
please help me i have the pic below: find the 27th term given the function an=-10+(n-1)(-2)
Answer:
-62
Step-by-step explanation:
Plug 27 into the equation
a27=-10+(27-1)(-2)
27-1=26
26 times -2 = -52
-52-10=-62
So
a_27
-10-2(26)-10-52-62Option D
If x varies directly as y, find x when y = 8.
x = 14 when y = -2
X=_____
Answer:
-56 maybe
Step-by-step explanation:
-2*-7=14
8*-7= -56
how to solve
y x 6 for y = 2/3
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Answer: 4
Explanation:
2/3 x 6 = 2/3 x 6/1 = 12/3 = 4
I hope this helped!
<!> Brainliest is appreciated! <!>
- Zack Slocum
*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆
Plz help me this very important
Help please, i need it asap
Answer:
∠BCA = 59
x = 2
∠B = 83
Step-by-step explanation:
Properties of a parallelogram:
Opposite angles are congruent
Opposite side lengths are congruent
That being said lets find x, ∠B and ∠BCA
First x
Segment AD and segment CD are parallels which are congruent
Knowing that we create an equation
6x = 12
step 1: Divide each side by 6
6x/6=x
12/6=2
we're left with x = 2
For ∠B
∠D and ∠B are opposite angles of a parallelogram
meaning that ∠D≅∠B
So if ∠D=83 then ∠B also = 83
For ∠BCA
∠BCA and ∠DAC happen to be opposite angles ( like stated previously opposite angles are congruent.)
Because ∠DAC = 59 ∠BCA also = 59
The area of a square field is 14400 sq. metre. Find the length of the side
of the square.
Answer:
side = 120 metre
Step-by-step explanation:
here's your solution
=> Area of square = 14400 sq.metre
=> Area of square = side^2
=> side^2 = 14400 sq.metre
=> side = √14400
=> side = 120 metre
hope it helps
You borrow money for 4 years. The total amount you repay is $7,840, which includes $840 in simple interest. How much was the principal?
Answer:
$7,000
Step-by-step explanation:
$7,840 - $840 to get the principal value
$7000
Answer:
7000
Step-by-step explanation:
the repay amount - interest = principal
7840 - 840 = 7000
Due to a manufacturing error, three cans of regular soda were accidentally filled with diet soda in a 12 pack. Suppose that two cans are randomly selected from the 12 pack. Answer A-C.
(a) determine the probability that both sodas contain diet soda p(both diet) = ????
(b) determine the probability that both contain regular soda p(both regular) = ????
(c) determine the probability that exactly one is diet and one is regular p(one regular and one diet) = ????
Answer:
a- 3/4
b- 1/4
c- 3/16
Step-by-step explanation:
The ratio of dogs to cats at the local
shelter is 2 to 5. There are 20 dogs at
the shelter. What is the total number
of cats and dogs at the shelter?
A. 28
B. 50
C.
70
D. 8
Need
Answer:
B 50
Step-by-step explanation:
Option 1) 2/5 = 20/x | 20/2 = 10 so x = 10 | 5 times x 10 =50
Option 2) dogs 2 to cats 5 | 2/5 = 20/x | .40 = 20/x | .40x = 20 | x = 50
Option 3) you can look and see that 20 is 10 times more than 2 and therefore infer that x is 10 times more than 5 which is 50
Question 4
The results of the Woodlands Middle School poll show that 20% of
the students prefer the aquarium and 50% of the teachers the
aquarium.
Which of the following statements is true?
There is evidence that teachers at Woodlands Middle may prefer the aquarium
more than students.
There is not enough evidence to support a relationship between destination
preference (aquarium or amusement park) and school role (student or teacher).
Woodlands Middle may prefer the aquarium
There is evidence that students
more than teachers.
Answer:
There is evidence that teacher at Woodlands Middle May prefer the aquarium more than students
Step-by-step explanation:
There is evidence that teachers at Woodlands Middle may prefer the aquarium (Option A) is the true statement from all the available options.
Why do we do sampling?We do sampling so that we don't have to work on entire population of items but only on that sample in a way that we can predict information about population.
Most of the times, it isn't possible in real world to work on entire populations. Samples come out for rescue by assumptions that they will have some properties of the population pertained in them.
Thus, the sample should be taken out such that it includes data of the population as much as it can in unbiased way so as to imitate population.
Poll oftenly uses sampling.
The data obtained from the poll shows that:
20% of the students prefer the aquarium and 50% of the teachers the
aquarium.
That means, from the poll, we found that out of total students, 20% prefer aquarium whereas 50% of total teacher prefer aquarium.
Since we conclude from sampling only as this is the usual way we do conclusion about population, and since percentage shows that less students' proportion prefer aquarium than the proportion of teachers prefering aquarium, thus,
There is evidence that teachers at Woodlands Middle may prefer the aquarium (Option A) is the true statement from all the available options.
Learn more about sampling here:
https://brainly.com/question/24842573
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Answer:
V=113.1
Step-by-step explanation:
Answer:
113
Step-by-step explanation:
What is the value of x?
Answer:
707,957
Step-by-step explanation:
x= 518*tan(42°) + 518*tan(25°) =518*(tan(42°)+tan(25°))≈518*1.367=707.957
Answer:
707,957
Step-by-step explanation:
Which quantity is proportional to 5/25?
Answer:
i think the correct answer is 1/5.
Step-by-step explanation:
hope this answer will help u.
have a great time.
3) -5
A) quintic monomial
B) constant trinomial
C) constant monomial
D) quadratic monomial
Answer:
Constant monomial
Step-by-step explanation:
Monomial means that there is only one term, so constant trinomial cannot be correct.
Quintic monomials have a degree of 5 and quadratic monomials have a degree of 4, but this has a degree of zero, so this must be a constant monomial.
I hope this helps you. Have a nice day.
Jack borrowed $ 4,000.00 and paid $ 585.00
in simple interest after 4 year 6 months. What
was the annual rate of interest?
Answer:
3.25%
Step-by-step explanation:
The formula for simple interest is I = PRT, where I = interest earned/paid, P = principal amount deposited or borrowed, R = rate of interest as a decimal, and T = time in years.
I = PRT
585 = (4000)(r)(4.5)
585 = 18,000r
r = 0.0325
Multiply by 100 to get the percentage
0.0325 = 3.25%
Please help! I'm giving branniest for the correct answer! (SHOW WORK)
Answer:
102
Step-by-step explanation:
it's a parallelogram so it's BxH
A = 15x8 = 120
inside rectangle A is LxW
6x3 = 18
subtract the inside from the outside
120-18 = 102
Anyone knows the answer???
Answer:
351.9 m²
Step-by-step explanation:
[tex]SA=2\pi r^2+2\pi rh[/tex] where r is the radius of the base and h is the height of the cylinder
We're given the diameter of the base, which is 8 m. Therefore, the radius is 4 m (after dividing by 2).
Plug in 4 as r and 10 as h
[tex]SA=2\pi (4)^2+2\pi (4)(10)\\SA=2\pi (16)+2\pi (40)\\SA=32\pi +80\pi \\SA=112\pi[/tex]
Therefore, the surface area of the cylinder is approximately 351.9 m² after rounding to the nearest tenth.
I hope this helps!
x + 4y = -26 -5x - = -14
Answer:
x=14/5, y=-36/5. (14/5, -36/5).
Step-by-step explanation:
x+4y=-26
-5x=-14
------------
5x=14
x=14/5
14/5+4y=-26
4y=-26-14/5
4y=-130/5-14/5
4y=-144/5
y=(-144/5)/4
y=(-144/5)(1/4)
y=-144/20
simplify
y=-36/5
How much of the circle is shaded 1/7 + 1/2
Answer:
The answer would be 0.64285714285
Step-by-step explanation:
You just add both of the fractions you showed above
solve these equations show solutions on a number line.
|x+8|=x+8
9514 1404 393
Answer:
x ≥ -8
Step-by-step explanation:
The absolute value does nothing when its argument is non-negative.
x +8 ≥ 0
x ≥ -8 . . . . . . . subtract 8 from both sides
please help me i can't figure this out
A 6 meters per second
B 5 meters per second
C 4 meters per second
D 7 meters per second
Answer:
B 5 meters per second
Step-by-step explanation:
Pick two points on the graph, and find the slope.
For example, you can use the points
(0, 8500) and (1700, 0)
slope = (difference in y)/(difference in x)
slope = (0 - 8500)/(1700 - 0) = -8500/1700 = -5
The slope is negative because the plane was losing altitude as it descended.
It descended at a rate of 5 meters per second.
Answer: B 5 meters per second
Answer:
B. 5 meters per second
Step-by-step explanation:
slope=8500÷1700=5
Plane descended at the rate of 5 meters per second.
hope it helps
have a great day!!
if f(7)=20, write the corresponding ordered pair
Answer:
(7,20)
Step-by-step explanation:
Oftentimes we write [tex]y=f(x)[/tex]. This suggests that [tex]x=7[/tex] and [tex]y=20[/tex]. Therefore, the ordered pair is [tex](x,y)=(7,20)[/tex].
Solve these equations.
Answer:
no solution
Step-by-step explanation:
|x-33| = -33
An absolute value must be greater than or equal to zero
The right hand side is a negative number.
There is no solution
Answer:
No solution
Step-by-step explanation:
When you do the absolute value, it is equal to a negative number. Which does not make sense so no solution