Answer:
[tex] \huge{ \boxed{x = 3}}[/tex]
Step-by-step explanation:
[tex] {x}^{2} - 6x + 9 = 0[/tex]
Using the quadratic formula that's,
[tex] \bold{x = \frac{ - b \pm \sqrt{ {b}^{2} - 4ac } }{2a}} \\ [/tex]
Comparing the equation to the general form of a quadratic equation ( ax² + bx + c), we have.
[tex]a = 1 \\ b = - 6 \\ c = 9[/tex]
Substituting the values into the formula we have.
[tex]x = \frac{- ( -6) \pm \sqrt{( - {6})^{2} - 4(1)(9) } }{2(1)} \\ x = \frac{6 \pm \sqrt{36 - 36} }{2} \\ x = \frac{ 6 \pm\sqrt{0} }{2} \\ x = \frac{6}{2} \: \: \: \: \: \\ \\ x = 3 \: \: \: \: \: \: \: \: \: \: \: \: \: [/tex]
We have the final answer as
x = 3Alex has trained his puppy, Popper, to
jump through a ring. According to Alex's
measurements and calculations, the ring
has a diameter of 3.5 feet. What is the
ring's circumference (use 3.14 for pi)?
1. 8.75 ft
2. 11.32 ft
3. 12.25 ft
4. 10.99 ft
Answer:
4.10.99
Step-by-step explanation:
3.14 * 3.5
What’s the last equation
9514 1404 393
Answer:
20 . . . . value of last equation
(A, B, C) = (4, 5, 10) or (3 1/3, 6, 12) . . . . values of symbols
Step-by-step explanation:
If we call the symbols, in order of appearance, A, B, C, then the equations are ...
2AB = 40 ⇒ AB = 20
2C/B = 4 ⇒ C/B = 2
Multiplying the second equation by the first, we get ...
(C/B)(AB) = AC = (2)(20) = 40 ⇒ AC = 40
Then the last equation is ...
(C-B)A = __
AC -AB = __ = 40 -20 = 20
The value of the last equation is 20.
_____
Per the above, we have AC = 40. The third equation is ...
(C +3A) = 22
Using the first relation, we have A = 40/C, so the second becomes ...
C +3(40/C) = 22
C² -22C +120 = 0
(C -10)(C -12) = 0
C = 10 or 12
As you can see, there are two possible solutions for the values of the symbols. The corresponding values of the other variables are ...
A = 40/C = 4 or 3 1/3
B = 20/A = C/2 = 5 or 6
The values of the variables are ...
(A, B, C) = (4, 5, 10) or (3 1/3, 6, 12)
Austin's paycheck showed a regular weekly salary of $385.50, a deduction of $16.35, a commission of $28.75, and $37.35 for overtime. Which equation correctly finds Austin's final pay?
-$385.50 + $16.35 + (-$28.75) + (-$37.35) = - $435.25
$385.50 + $16.35 + (-$28.75) + (-$37.35) = $355.75
$385.50 + (-$16.35) + $28.75 + $37.35 = $435.25
$385.50 + (-$16.35) + $28.75 + $37.35 = -$467.95
Answer:
Answer option c is correct.
Step-by-step explanation:
385.50 is adding to the amount because it his paycheck. 16.35 is subtracted because it is bing deducted. Then there is the adding amount of 28.75 and 37.35 because of his commission and overtime. When you add it all up, you get 435.25. This whole thing would look like this in equation format:
385.50 +(-16.35) + 28.75 + 37.35 = 435.25.
Create a pattern with the rule n x3. Numbers 1 2 3 4 10
Answer:
10,13 and 16
Step-by-step explanation:
simplify the expression
[tex] \sqrt[3]{686x {}^{4} } y {}^{7} [/tex]
The expression can be simplified as [tex]7x\sqrt[3]{ 2x} y^7[/tex].
What is an expression?An expression in mathematics is made up of numbers, variables, and functions (such as addition, subtraction, multiplication or division, etc.)
A phrase in language may contain an action on its own, but it does not constitute a whole sentence.
Given:
The expression = [tex]\sqrt[3]{686x^4} y^7[/tex]
Factorize 686 we get 7³ × 2
= [tex]\sqrt[3]{7^3\times 2x^4} y^7[/tex]
= [tex]7x\sqrt[3]{ 2x} y^7[/tex]
Therefore, the expression can be simplified as [tex]7x\sqrt[3]{ 2x} y^7[/tex].
To know more about the expression:
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Larry has a cylinder shaped pictures that is 13 inches long and radius of 4 inches. Sandra has a cylinder shaped pitcher that is 8 inches long and radius of 6 inches. The volume of Larry’s picture is approximately __. The volume of Sandra’s pitcher is approximately __?
The volume of Larry’s picture is approximately 653in³
The volume of Sandra’s pitcher is approximately 905in³
How to determine their volumeThe formula for calculating the volume of a cylinder is expressed as;
V = πr²h
Such that the parameters are;
V is the volumer is the radiush is the heightNow, substitute the values, we have;
Larry's cylinder
Volume = 3.14 × 4² × 13
Find the square value and multiply the expression
Volume = 653in³
Sandra's cylinder
Volume = 3.14 × 6² × 8
Find the square value and multiply the expression
Volume = 905in³
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Which number describes the median of the data given in the table?
Answer:
how can i answer?
Step-by-step explanation:
I want to prove that sin2x/1+cos2x = tan x.
If v = -5, what does 4v - 3 equal? (Explain aswell)
Answer: Answer= -23
Step-by-step explanation: plug in -5 for v. THen multiply 4 and -5 which should give you -20. then subtract -3 from -20 which will give you -23. :)
Suppose babies born after a gestation period of 32 to 35 weeks have a mean weight of 2500 grams and a standard deviation of 700 grams while babies born after a gestation period of 40 weeks have a mean weight of 3100 grams and a standard deviation of 390 grams. If a 34-week gestation period baby weighs 2950 grams and a 41-week gestation period baby weighs 3550 grams, find the corresponding z-scores. Which baby weighs more relative to the gestation period
Answer:
Z-score for 34-week baby = 0.643
Z-score for 41-week baby = 1.154
Baby weight of 41-week is more than the baby weight of 34-week in the gestation period.
Step-by-step explanation:
Given - Suppose babies born after a gestation period of 32 to 35 weeks have a mean weight of 2500 grams and a standard deviation of 700 grams while babies born after a gestation period of 40 weeks have a mean weight of 3100 grams and a standard deviation of 390 grams. If a 34-week gestation period baby weighs 2950 grams and a 41-week gestation period baby weighs 3550 grams
To find - Find the corresponding z-scores. Which baby weighs more relative to the gestation period.
Proof -
Given that,
In between period of 32 to 35 weeks
Mean = 2500
Standard deviation = 700
In between after a period of 40 weeks
Mean = 3100
Standard deviation = 390
Now,
For a 34-week baby,
X = 2950
For a 41-week baby,
X = 3550
Now,
Z-score = (X - mean) / Standard deviation
Now,
For a 34-week baby,
Z - score = (2950 - 2500) / 700 = 0.643
For a 41-week baby,
Z-score = (3550 - 3100) / 390 = 1.154
∴ we get
Z-score for 34-week baby = 0.643
Z-score for 41-week baby = 1.154
As 1.154 > 0.643
So,
Baby weight of 41-week is more than baby weight of 34-week in the gestation period.
Please answer look at pitot
Answer:
z = 7
Step-by-step explanation:
Based on the midsegment theorem of a triangle, the length of the midsegment of the triangle (z) = ½ of the length of the 3rd side of the triangle (14)
Thus:
z = ½(14)
z = 7
What is the lateral area of the square pyramid, to the nearest whole number?
A. 165 m2
B. 176 m2
C. 330 m2
D. 351 m2
Answer:
1: A. 448 2: 209 pi cm^2 3: D. 351 m^2 4. B 240 cm^2 C. 561.1 cm^2
Step-by-step explanation:
just took the test!!!
The number of subscribers to a web service is growing exponentially. If there were 100,000 subscribers initially and it grows by 2.4% per month, how many subscribers will there be after a year? Round your answer to the nearest whole number of subscribers.
Answer:
280,000
Step-by-step explanation:
Solve
Given: 100,000 subscribers increases by 2.4% per month
To find: After a year, how much will that be?
First step:
Find the increase of the subscribers per month
100,000 of 2.4%
Set up an equation
2.4/100 × 100,000/1
Cross multiply, cancel zeros in both 100,000 and 100. Which is equal to:
2.4/1 x 1,000/1 =
2,400
Second step: If it increases per month,
then to find the year, find out how many months is in a year:
12 months = 1 year
Now that has been figured out, multiply the result by the result in the first step:
12 × 2400 = 28.800
Therefore, the number of subscribers will be after a year
COMBINE ALL LIKES TERMS.
r+r+r+r
r+3r+2
Answer:
First answer:
r+r+r+r = 4r
Second answer:
r+3r+2 = 4r + 2
Please mark my answer as brainliest for further such answers :)find number of A intersection B? help me plz
Try this option:
1. to calculate the difference of the final sequence:
the difference between two terms of the sequence A is 4 (7-3=11-7=...=4) and the difference between two terms of the sequence B is 7 (9-2=16-9=...-7). It means, in the final sequence the difference should be 7*4=28;
2. to calculate the first term of the final sequence:
A={3;7;11;15;19;23;27;31;...;407} and B{2;9;16;23;30;...;709}. It means, the first term of the final sequence is 23.
3. to calculate the last term of the final sequence:
if 407<709, it means the last term is less than 407, then it is possible to make up the equation 23+28*n<407, where 23 - the 1st term of the final sequence, 28 - the difference of the final sequence, (n+1) - number of the last term of the final sequence and n∈Z.
n<(407-23)/28; n<13.71. If n∈Z, then n=13.
So, the last term of the final sequence is 23+28*13=387.
4. if the first term is 23, the last one is 387 and the difference of the final sequence is 28, then the final sequence is consists of 14 terms:
{23; 51; 79; 107; 135; 163; 191; 219; 247; 275; 303; 331; 359; 387}
What is the inverse relation of f(x)=1/5x−4/5?
y=1/5x−4
y=−1/5x+5/4
y=−5x−4
y=5x+4
Answer:
[tex]y' = 5x + 4[/tex]
Step-by-step explanation:
Given
[tex]f(x) = \frac{1}{5}x - \frac{4}{5}[/tex]
Required
The inverse relation
[tex]f(x) = \frac{1}{5}x - \frac{4}{5}[/tex]
Rewrite as:
[tex]y = \frac{1}{5}x - \frac{4}{5}[/tex]
Swap x and y
[tex]x = \frac{1}{5}y - \frac{4}{5}[/tex]
Multiply through by 5
[tex]5x = y - 4[/tex]
[tex]y = 5x +4[/tex]
Rewrite the new function as:
[tex]y' = 5x + 4[/tex]
How to figure out square feet of counter tops
Answer:
Chapter Three: Calculate Total Countertop Square Footage
To calculate the total square footage (after placing seams) you will need to follow this formula: “L” x “W” / 144 = s.f. (Length times width divided by 144 = square feet).
there are about 11,000 birth each day in United States and the proportion of the boys born in United States is 0.152 assume that each day 100 birth randomly selected the portion of boys record
Answer:
15 boys selected
Step-by-step explanation:
Given
[tex]N =11000[/tex] --- The population
[tex]n = 100[/tex] --- The sample selected
[tex]p =0.152[/tex] -- The proportion of boys
Required
The expected number of boys selected
The expected number is calculated by multiplying the sample size by the proportion of boys.
So, we have:
[tex]Boys = p * n[/tex]
[tex]Boys = 0.152 * 100[/tex]
[tex]Boys = 15.2[/tex]
[tex]Boys = 15[/tex] --- approximated
Fill in the missing numbers to complete the linear equation that gives the rule for this table. (1,48) (2,55) (3,62) (4,69)
y =_x +_
Answer:
y=1/7x
Step-by-step explanation:
55-48= 7, 2-1=1, 1/7= slope
A quadratic equation is missing the “c” value: x²+20x+c=0.
Determine ONE (1) integer value of “c” that would result in TWO SOLUTIONS
Answer:
100
Step-by-step explanation:
[tex] {x}^{2} + 20x + c \\ \\ {x}^{2} + 2.x.10 + {10}^{2} \\ {x}^{2} + 20x + 100 \\ \implies \: {x}^{2} + 20x + c \\ \implies \: c = 100[/tex]
Find x in each triangle! Will award brainliest
Answer:
First triangle x=9
Second triangle x=20
Step-by-step explanation:
Using Pythagorean theorem
40^2+x=41^2
1600+x^2=1681
-1600 -1600
x^2=81
To find x we do the opposite of powers and find the squared
x=9
Second triangle
21^2+x^2=29^2
441+x^2=841
-441 -441
x^2=400
x=20
CAN SOMEBODY SOLVE THIS AND GIVE A STEP-BY-STEP PLEASE!
-2 =m/16
Answer:
m=-32
Step-by-step explanation:
-2=m/16
-2×16=m
-32=m
m=-32
Answer:
m=-32
Step-by-step explanation:
-2×16=m
-32=m
m=-32
Please help the first people were wrong!!!
Answer:
The surface area is about 267.04 cm^2; the surface area would be divided by 4 if the slant height and diameter were to be cut in half
55 videos to 77 videos. Is it increase or decrease? What is the change in the percent?
Answer:
A change from 55 to 77 represents a positive change (increase) of 40%.
Hope this helps!
Answer:
Increase
Step-by-step explanation:
55 videos to 77 videos is equal to 140% increase
so how we find the result?
multiply 77 with 100 and divide it by 55
77*100/55 = 140
Please help will give brainliest
While driving through California, you stop in at a little restaurant in a small town. The meal for your family was $48.00. The town has a 7.5% sales tax rate. You also want to leave a 20% tip.
help please. Harry has raised $276 by selling 23 equally priced boxes of apples for the choir fund-raiser. Which of the following equations can be used to find the price, x, of each box of apples?
x − 23 = 276
x + 23 = 276
23x = 276
x ÷ 23 = 276
Answer:
The 3rd option
Step-by-step explanation:
If we find X then this would become a Mult. problem
5. How many ways can 12 swimmers finish in first, second, and third place? Combination or permutations
Answer:
36
Step-by-step explanation:
Each swimmer has a chance to get 1st,2nd, or 3rd place so im guessing it's 12x3 which is 36
find dy/dx if x =2-3t/1+t y= 3+2t/1+t
.....................................
Given that these triangles are similar, what is the perimeter of triangle PQR? Show your work.
If someone could answer fr this time that would be great.
Answer:
24
Step-by-step explanation:
I use the Pythagoras theorem.
[tex]\sqrt{a^{2} +b^{2} } =c^{2}[/tex]
[tex]4^{2}{x}6^{2} = c^{2}[/tex]
16 x 36= 576
[tex]\sqrt{576} = 24[/tex]