Solve the equation 4x^2 - 5x -33 = -29 to the nearest tenth.
Answers
9514 1404 393
Answer:
x = {-0.6, 1.8}
Step-by-step explanation:
Adding 33 we have ...
4x^2 -5x = 4
Dividing by 4, we get ...
x^2 -5/4x = 1
We can complete the square by adding the square of half the x-coefficient:
x^2 -5/4x +25/64 = 89/64
(x -5/8)^2 = 89/64
x = (5 ±√89)/8 = {-0.5542, 1.8042}
The solution rounded to the nearest tenth is ...
x = {-0.6, 1.8}
Related Questions
A house was appraised at $330,000 . One year later the house was appraised at $335,000 . At what percent did the appraised price of the house increase?
Answers
Answer:
11 2/3%
Step-by-step explanation:
Change in Amount =335,000 – 300,000
Percent Increase
Original Amount
300,000
35,000
2
=0.11666=11.666%=11-%
300,000
3
(https://imgur.com/a/U6c1pes) - For more clear explanation.
what is the measure of angle D?
A.) 75
B.) 80
C.) 95
D.) 110
Answers
Answer:
D = 110
Step-by-step explanation:
MPTS is similar to CDHK
That means
angle M = C
P = D
T = H
S = K
We know P = 110 so D = 110
HELP QUICK help find the value of x and the measure of each angle
Answers
Answer:
A = 102° B = 78°
Step-by-step explanation:
(3x + 12°) + (2x + 18°) = 180°
5x = 180° - 12° - 18°
5x = 150|:5
x = 30°
Answer: x=30 A=102 B=78
Step-by-step explanation:
These are linear pairs so they add up to 180.
Your equation is: 3x+12+2x+18=180
5x+30=180
x=30
Plug x into the equations to find their values.
3(30)+12=102
2(30)+18=78
Ocuocktxjrxutxjxttuxudutx
Answers
Given:
The stem and leaf plot of a data set is given.
Legend:1|0 represents 10.
To find:
The original data set for the given stem and leaf plot.
Solution:
It is given that 1|0 represents 10 in the given stem and leaf plot. Using this, the original data set from the given stem and leaf plot is:
10, 11, 14, 21, 24, 24, 27, 29, 33, 35, 35, 35, 37, 38, 40, 41.
These values are in ascending order.
Therefore, the original set of data is 10, 11, 14, 21, 24, 24, 27, 29, 33, 35, 35, 35, 37, 38, 40, 41.
simplify the expression (2r^4y4xy^2) completely
Answers
Step-by-step explanation:
we can simplify the stuff inside the parentheses to
[tex] \frac{ {x}^{3} }{2y} [/tex]
now we need to multiply it with itself, giving us
[tex] \frac{ {x}^{6} }{4 {y}^{2} } [/tex]
so yeah, D is the correct answer
PLEASE HELP!!
NUMBER 3!
Answers
Answer:
Width = 17 feet, Length = 22 feet
Step-by-step explanation:
Let the width, w, be x
Therefore, length, L = x + 5
Perimeter = 78
p = 2(L+b)
78 = 2(x + x+5)
Adding the variables,
78 = 2( 2x + 5)
Dividing both sides by two,
39 = 2x + 5
Subtracting two from both sides,
34 = 2x
Dividing by two on both sides,
17 = x
Therefore, the width = x = 17 feet, and the length = x + 5 = 17 + 5 = 22 feet.
Hope you understood
Please mark as the brainliest
Thank You
Is god really real??
Answer ASAP
Many people answer this question
Answers
Answer:
yes
Step-by-step explanation:
that's that's I think
WILL MARK BRAINLIEST! An orchestra of 120 players takes 40 minutes to play Beethoven's 9th Symphony. How long would it take for 60 players to play the symphony?
Let P be the number of players and T be the time playing.
Trick question! ;)
Answers
Answer:
Since in an orchestra each player plays parallely, i.e. everyone plays the same line simultaneously, hence the length of the play never depends on the number of players playing it. Hence, time taken by 60 players = time taken by 120 players = 40 minutes. So 60 person will play the 9th harmony in same 40 minutes.
Step-by-step explanation:
1.2 x 10^19 x 5.88 x 10^12
This is scientific Notation I need this urgent please give good explanation
Answers
9514 1404 393
Answer:
7.056 × 10^31
Step-by-step explanation:
The applicable rule of exponents is ...
(10^a)(10^b) = 10^(a+b)
__
[tex](1.2\times10^{19})\times(5.88\times10^{12})=(1.2\cdot5.88)\times10^{19+12}\\\\=\boxed{7.056\times10^{31}}[/tex]
As you know, the commutative and associative properties of multiplication let you rearrange the order of the product to any convenient form. Here it is convenient to group the mantissas together and the powers of 10 together.
__
Additional comments
This is a product your scientific or graphing calculator can produce for you. Likely it will display the result in scientific notation because it won't have enough display digits to show you the product any other way. For smaller numbers, you can set the display mode to give you scientific notation.
If you choose to use a spreadsheet to perform this calculation, the numbers would be entered as 1.2e19 and 5.88e12. The result will be something like 7.056e31. You may have to format the display to show 3 decimal places.
find the value of tanA when tan(A-45)=1÷3)
Answers
Answer:
63.44degrees
Step-by-step explanation:
Given that;
tan(A-45) = 1/3
A-45 = arctan(1/3)
A - 45 = 18.44
A = 18.44+45
A = 63.44degrees
Hence the value of A is 63.44degrees
which inequality does the graph represent?
A. y<-x-1
B. y<-x+1
C. y
D. y
Answers
Answer:
B) y < -x + 1
Step-by-step explanation:
you can see from the x-and-y intercepts that the equation of this line is:
y = -x + 1
now you must determine whether the equal sign should be replaced with '<' or '>'
you can use the point (0,0) to see if that makes y > -x + 1 true or false:
0 > 0+1 This is False
so the answer should be: y < -x + 1
Troy has already spent 2 minutes on the phone, and he expect to spend 3 more minutes with every phone call he routes. In all How many phone calls dose troy have to route to spend a total of 32 minutes on the phone?
Answers
To check. 3 mins • 10 calls is 30 mins total. Adding the 2 that he already spent, that’s 32 minutes.
2 divided by 32 is 16 so im gonna say 16
16 is ur answer
please help solve it
Answers
Answer:
Step-by-step explanation:
1 to find AB
in triangle ADB
here 4 and 2[tex]\sqrt{6}[/tex] are the legs of the right triangle so let them be a and b respectively.
AB is the hypotenuse (longest side ) and let it be x
using pythagoras theorem
a^2 + b^2 = c^2
4^2 + [tex](2\sqrt{6} )^2[/tex] = AB^2
16 + 4*6 = AB^2
16 + 24 = AB^2
40 = AB^2
[tex]\sqrt{40}[/tex] = AB
[tex]2\sqrt{10}[/tex] = AB
therefore AB =v[tex]2\sqrt{10}[/tex] .Hence proved .
In triangle ADC
here 6 and [tex]2\sqrt{6}[/tex] are the legs of the right angle so let them be a and b respectively. AC is the hypotenuse (longest side) so let it be c
usinfg pythagoras theorem
a^2 + b^2 = c^2
6^2 + [tex](2\sqrt{6} )^2[/tex] = AC^2
36 + 4*6 = AC^2
36 + 24 = AC^2
60 = AC^2
[tex]\sqrt{60}[/tex] = AC
[tex]2\sqrt{15}[/tex] = AC
To prove triangle ABC is a right angled triangle
AD and BD are the legs and AB is hypotenuse
according to pythagoras theorem to be the right angle triangle the sum of square of two smaller sides of a triangle must equal to the square of hypotenuse(longest side)
let two smaller sides be a and b respectively and c be hypotenuse
using pythagoras theorem
a^2 + b^2 = c^2
4^2 + [tex](2\sqrt{6} )^2[/tex] = [tex](2\sqrt{10} )^2[/tex]
16 +2^2*6 = 2^2*10
16 + 4*6 = 4*10
16 + 24 = 40
40 = 40
since both sides are equal it is proved that the triangle ABC is a right angled triangle.
Hope this helps u !!
Answer:
2 square root 10
Step-by-step explanation:
firstly you must find the hipotenus using the hipotenus formula AB is the hipotenus
(4)*2 + (2 square root 10)*2 = 40 juat press a calculator if you dont know
and then you press square root of 40 then you will get 2 square root 10 so you already prove that AB is 2 square root 10
Desperate adhd child here plz.
Answers
Answer:
i have adhd too lol, i think its they're both equal ?
Step-by-step explanation:
no idea lol but have a good day
explanation: we know that the length of nk is equal to the length of lk because they have the little dash in the middle. we know that the two triangles share mk as a line, so that must also be equal. all we need to prove by SAS is that the angles in between those two sides are equal as well.
find the median from given data 2,5,1,6,3
Answers
Answer: Median = 3
Explanation:
Sort the numbers to get {1,2,3,5,6}. The middle most number is 3, so that's the median.
Simplify Expressions. Which expression is
equivalent to 5x - 2 + 2x - 6
7X-8
3X-8
7x - 4
3X - 4
Answers
Answer:
7x - 8
Step-by-step explanation:
Hope this helps!
I need the answer plsss
Answers
Answer:
Its H
There should be one dot on 4, 2 dots on 2, 3 dots on 1, 3 dots on 0, 1 dot on 7, 1 dot on 3
Step-by-step explanation:
brainly plz!
Help meeeeeeeeeeeeeeeeeeeee
Answers
Answer:
question please so I can help you
Question 2 of 10 The standard form of the equation of a parabola is y= x2 + 4x + 11. What is the vertex form of the equation? O A. y = (x - 2)2 + 18 OB. y = (x + 2)2 +7 O C. y = (x + 2)(x-2) + 7 O D. y = (x - 2)2 + 12
Answers
Answer:
The answer:
y=(x+2)²+7
Choose (B)
The altitude of a triangle is increasing at a rate of 1.5 1.5 centimeters/minute while the area of the triangle is increasing at a rate of 1.5 1.5 square centimeters/minute. At what rate is the base of the triangle changing when the altitude is 8 8 centimeters and the area is 88 88 square centimeters
Answers
Answer:
The base reduces at 3.75cm/min
Step-by-step explanation:
Given
Let
[tex]h \to altitude[/tex]
[tex]b \to base[/tex]
[tex]A \to Area[/tex]
So:
[tex]\frac{dh}{dt} = 1.5cm/min[/tex]
[tex]\frac{dA}{dt} = 1.5^2cm/min[/tex]
The area of a triangle is:
[tex]A = \frac{1}{2}bh[/tex]
Calculate b when [tex]A =88cm^2; h =8cm[/tex]
[tex]A = \frac{1}{2}bh[/tex]
[tex]88=\frac{1}{2} * b * 8[/tex]
[tex]88 =b * 4[/tex]
Solve for b
[tex]b = 88/4[/tex]
[tex]b = 22[/tex]
We have:
[tex]A = \frac{1}{2}bh[/tex]
Differentiate with respect to time
[tex]\frac{dA}{dt} =\frac{1}{2}(h\frac{db}{dt} + b\frac{dh}{dt})[/tex]
Substitute the following values in the above equation
[tex]\frac{dh}{dt} = 1.5cm/min[/tex] [tex]\frac{dA}{dt} = 1.5^2cm/min[/tex] [tex]b = 22[/tex] [tex]h = 8[/tex]
[tex]1.5 = \frac{1}{2}(8 * \frac{db}{dt} + 22 * 1.5)[/tex]
Multiply both sides by 2
[tex]3 = 8 * \frac{db}{dt} + 22 * 1.5[/tex]
[tex]3 = 8 * \frac{db}{dt} + 33[/tex]
Collect like terms
[tex]8 * \frac{db}{dt} = 3 -33[/tex]
[tex]8 * \frac{db}{dt} = -30[/tex]
Divide both sides by 8
[tex]\frac{db}{dt} = -\frac{30}{8}[/tex]
[tex]\frac{db}{dt} = -3.75[/tex]
5) The current population of a city is 15,862 residents. The population is growing at a rate of
1.3% per year. Assuming the growth rate remains constant, how many years will it take for
the population to reach 20,000 residents? Round your answer to the nearest whole year.
Answers
Answer:
97 years
Step-by-step explanation:
20,000 - 15,862 = 4,138
[tex]\frac{y}{15,862}: \frac{1.3}{100}[/tex]
y × 100 = 15,862 × 1.3
100y = 20620.6
100y ÷ 100 = 20620.6 ÷ 100
y = 206.206
20,000 ÷ 206.206 = 96.9903882525
96.9903882525 rounds to 97
The thickness of eight pads designed for use in aircraft engine mounts are measured. The results, in mm, are 41.8, 40.9, 42.1, 41.2, 40.5, 41.1, 42.6, and 40.6. Assumed that the thicknesses are from a normal distribution. Can you conclude that the mean thickness is greater than 41.0 mm a) State your hypotheses. b) Test your hypotheses at .01 significance level. c) Your conclusion (in the context of this problem)
Answers
Answer:
We accept H₀ we don´t have enough evidence to support that the mean thickness is greater than 41 mm
Step-by-step explanation:
Sample Information:
Results:
41.8
40.9
42.1
41.2
40.5
41.1
42.6
40.6
From the table we get:
sample mean : x = 41.35
sample standard deviation s = 0.698
Hypothesis Test:
Null Hypothesis H₀ x = 41
Alternative Hypothesis Hₐ x > 41
The test is a one-tail test
If significance level is 0.01 and n = 8 we need to use t-student distribution
From t-table α = 0.01 and degree of freedom df = n - 1 df = 8 - 1
df = 7 t(c) = 2.998
To calculate t(s) = ( x - 41 ) / s/√n
t(s) = ( 41.35 - 41 ) / 0.698/√8
t(s) = 0.35 * 2.83/ 0.698
t(s) = 1.419
Comparing t(s) and t(c)
t(s) < t(c)
t(s) is in the acceptance region we accept H₀
Solve for r.
-3r-9=1r+2
Answers
Answer:
[tex] - 3r - 9 = 1r + 2 \\ - 3r - r = 11 \\ - 4r = 11 \\ r = - \frac{11}{4} [/tex]
NO LINKS OR ELSE YOU'LL BE REPORTED!Only answer if you're very good at Math.No guessing please.
The director of health services is concerned about a possible flu outbreak at her college.She surveyed 100 randomly selected residents from the college's dormitories to see whether they had received a preventive flu shot.The results are shown below.What is the probability that a dormitory resudent chosen at random from this group had a flu shot, given that he is male?
A: 39/80
B: 13/17
C: 39/100
D: 51/100
Answers
=============================================================
Explanation:
The "given that he is male" stated at the end means we only focus on the male column. This is because we know 100% that the person selected is male. Either we're told this by someone else, or we can determine this another way.
There are 39 males that got the flu shot out of 51 males total. The probability we're after is 39/51 = (3*13)/(3*17) = 13/17
It's effectively saying: out of every 17 males, 13 of them got the flu shot.
11x^2-2x^3+7 and -x^2+6x-7 as sum
Answers
Answer:
-2x³+10x²+6x
Step-by-step explanation:
-2x³+11x²+0x+7
0x³ - x²+ 6x-7
_____________
-2x³+10x²+6x+0
_____________
HELPPPPOOOPPPPOPPPPPPPP
Answers
Answer:
Your answer would be B
Step-by-step explanation:
So right away you can get rid of a and d since they are positive numbers, there is no positive numbers in the graph were the line is.
So we know that the y-intercept is -2 (as you can see the line pass through (0,-2))
And we know the y intercept is -8 (since the line pass through (-8,0))
so you are left with b and c, c is incorrect because the -2 goes through the y-intercept not the x.
The right choice is b, it states that the x-intercept -8 pass through the line, the y-intercept is -2
Your welcome and hoped this helped!
18.96 x 2.03 correct to 2 significant figures equals what?
Answers
9514 1404 393
Answer:
38
Step-by-step explanation:
The product of the given numbers is 38.4888. Rounding this to two significant digits gets you 38.
Help meeee pleasssseeee
Answers
Answer:
x = 8
Step-by-step explanation:
The side-splitter theorem states that when a line that is parallel to the third side of a triangle intersects the other two sides of the triangle, it divides the two sides proportionally.
Applying this theorem, we have the following equation:
x/52 = 2/13
Cross multiply
x*13 = 2*52
13x = 104
13x/13 = 104/13
x = 8
HELP plsssss I will GIVE YOU BRAINLYEST
Answers
Answer: B
Step-by-step explanation:
Answer:
-5ºC < 5ºC is an inequality that compares temperatures.
B is the correct answer for the multiple choice question.
Evaluate the function.
Answers
Answer:
f(-1) = 5
Step-by-step explanation:
To "evaluate the function f(x) = -x^2 + 6 at x = -1, we substitute -1 for x in each instance:
f(-1) = -(-1)^2 + 6
According to order of operations rules, exponentiation must be performed before multiplication or division. '-(-1)^2' thus becomes -1, and so
f(-1) = -(-1)^2 + 6 = -1 + 6 = 5.
Thus, f(-1) = 5
