Answer:
x₁ = 2.5 , x₂ = - 6.5Step-by-step explanation:
[tex]4(x+2)^2-81=0\\\\4(x+2)^2=81\\\\(x+2)^2=\frac{81}4\\\\x+2=\sqrt{\frac{81}4}\quad\vee\quad x+2=-\sqrt{\frac{81}4}\\\\x=\frac92-2\qquad\vee\quad\ x=-\frac92-2\\\\x=\frac52\qquad\vee\quad\ x=-\frac{13}2[/tex]
Find the missing number! Super easy, just don't feel like doing it, plus busy with other work.
Answer:
y = 1.37
Step-by-step explanation:
30y = 41.10
divide both sides of the equation by 30
30y/30 = 41.10/30
y = 41.10/30
y = 1.37
Find the slope:
A.2/5
B.-2/5
C.5/2
D.-5/2
Answer:
5/2
Step-by-step explanation:
Stephanie delivers papers for 2 different paper routes. On one route, she delivers 176 papers. On the second route, she delivers 43 papers. About how many papers does she deliver total? Choose the best estimate. 200 papers 210 papers 220 papers 230 papers
Answer:
Step-by-step explanation:
220 is the answer
176 + 43 = 219
219 is almost 220
Which ordered pair is a solution of the equation? y= 4x+9
A: Only (−3,3)
B: Only (−2,2)
C: Both (-3,3) and (-2,2)
D: Neither
Answer:
It's D, neither
Step-by-step explanation:
what is the slope of the line -3 -1/3
Answer:
negative slope
Step-by-step explanation:
HEY CAN ANYONE PLS ANSWER DIS!!!!!!!!
Answer: 1,045,440,000
Explanation:
1 mile = 5280 feet
55 x 5280 = 290400
290400 x 60 = 17424000
17424000 x 60 = 1045440000
3 words. Get. A. Caluculator.
Lol I hope this helps!
Answer:
80.67 ft/secStep-by-step explanation:
Mile to feet
1 mi = 5280 feetHour to seconds
1 hr = 60 min = 60*60 sec =3600 secSpeed of the car
55 mi/hr = 55*5280 ft / 3600 sec = 80.67 ft/sec rounded to two decimal placesurgent! please help!
Answer: (0,3)
Step-by-step explanation: The y-intercept is where x is 0.
After jogging 4 miles, a runner increases his speed to 6 miles per hour which equation models the total number of miles, d, that he has traveled aftert
hours at the fastest speed?
O d = 4t - 6
O d = 4t + 6
O d = 6 - 4
d = 6 + 4
Answer: 11
Step-by-step explanation:
CORRECT ANSWER WILL GET BRAINLIEST!!!!
The solution to this equation is:
C.) x=7
If the figure below is rotated a certain number of degrees,
the transformed figure will coincide with overlap) the
original.
Which of these rotations will not result in the transformed
figure coinciding with the original?
288°
90°
72°
-72°
There are about 3×1011 stars in our galaxy and about 100 billion galaxies in the observable universe. Suppose every galaxy has as many stars as ours. How many stars are in the observable universe? Write in scientific notation.
The number of stars in the observable universe is; 3.033 × 10¹⁴
Since there are about 3 × 1011 stars in our galaxy; we can rewrite that to be;
3033 stars or3033 stars or3.033 × 10³ stars in our galaxy.However, there are about 100 billion galaxies in the observable universe.
We can rewrite that in scientific notation form so that we have;
100 × 10⁹ or 100 × 10⁹ or 10¹¹ galaxies in the observable universe.Ultimately, since our galaxy is one of the 10¹¹ observable galaxies in the universe; the number of stars in the observable universe is;
3.033 × 10³ × 10¹¹By the laws of indices;
3.033 × 10¹⁴.Therefore, the number of stars in the observable universe is; 3.033 × 10¹⁴.
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8n +7(2n-4)=4(7 + 3n) - 6
Answer:
n=5 hope this helps
Step-by-step explanation:
need help asap please
55 = 18 +0.004x
What is x
Answer:
Your answer is: x = 9250
Isolate the variable by dividing each side by factors that don't contain the variable.
Step-by-step explanation:
Hope this helped : )
Which of the values below will make the equation
3x -- 11 = 40
true?
Kim writes an estimate for the number 0.00436 as 4x10^3. Explain why this cannot be correct
Answer:
4x10^-3
Step-by-step explanation:
because it was in a deciaml, it has to be negative
The given estimate is not correct. The correct estimate will be 4.36 × [tex]10^{-3}[/tex].
It is given that Kim writes an estimate for number 0.00436 as 4 × 10 ³.
We have to find whether it is correct or not and why ?
What do you mean by decimal fraction ?
A decimal fraction is a number in which the denominator is a multiple of 10 i.e., 10, 100, 1000. etc.
As per the question ;
The decimal number given is 0.00436.
To represent the number in the form of power of 10 , we need to move the decimal 3 places towards right.
and
We know if we move decimal 3 places towards right we need to multiply the resulted number by 10 to the power -3 , i.e., [tex]10^{-3}[/tex]
So,
The correct estimate will be ;
= 4.36 × [tex]10^{-3}[/tex]
Thus , the given estimate is not correct. The correct estimate will be 4.36 × [tex]10^{-3}[/tex].
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On average, indoor cats live to 16 years old with a standard deviation of 2.5 years. Suppose that the distribution is normal. Let X = the age at death of a randomly selected indoor cat. Round answers to 4 decimal places where possible.
a. What is the distribution of X? X ~ N([],[])
b. Find the probability that an indoor cat dies when it is between 17.2 and 19.6 years old.[]
c. The middle 20% of indoor cats' age of death lies between what two numbers?
Low: [] years
High: [] years
Answer:
(a) N (16, 2.5²)
(b) 0.241
(c) Low: 15.4 years
High: 16.6 years
Step-by-step explanation:
The random variable X is defined as the age at death of a randomly selected indoor cat.
(a)
The distribution of X is:
[tex]X\sim N(\mu = 16, \sigma^{2}=2.5^{2})[/tex]
(b)
Compute the probability that an indoor cat dies when it is between 17.2 and 19.6 years old as follows:
[tex]P(17.2<X<19.6)=P(\frac{17.2-16}{2.5}<\frac{X-\mu}{\sigma}<\frac{19.6-16}{2.5})[/tex]
[tex]=P(0.48<Z<1.44)\\=P(Z<1.44)-P(Z<0.48)\\=0.92507-0.68439\\=0.24068\\\approx 0.241[/tex]
Thus, the probability that an indoor cat dies when it is between 17.2 and 19.6 years old is 0.241.
(c)
Compute the two numbers within which 20% of indoor cats' age of death lies as follows:
[tex]P(x_{1}<X<x_{2})=0.20\\\\\Rightarrow P(-z<Z<z)=0.20\\\\P(Z<z)-P(Z<-z)=0.20\\\\P(Z<z)-[1-P(Z<z)]=0.20\\\\2P(Z<z)-1=0.20\\\\2P(Z<z)=1.20\\\\P(Z<z)=0.60[/tex]
The corresponding value of z is, 0.25.
Compute the value of x₁ and x₂ as follows:
[tex]z=\frac{x_{1}-\mu}{\sigma}\\\\0.25=\frac{x_{1}-16}{2.5}\\\\x_{1}=16+(0.25\times 2.5}\\\\x_{1}=16.625\\\\x_{1}\approx 16.6[/tex] [tex]z=\frac{x_{1}-\mu}{\sigma}\\\\-0.25=\frac{x_{2}-16}{2.5}\\\\x_{2}=16-(0.25\times 2.5}\\\\x_{2}=15.375\\\\x_{2}\approx 15.4[/tex]
Low: 15.4 years
High: 16.6 years
The polynomial p(x)=3x^3-5x^2-4x+4p(x)=3x 3 −5x 2 −4x+4p, left parenthesis, x, right parenthesis, equals, 3, x, cubed, minus, 5, x, squared, minus, 4, x, plus, 4 has a known factor of (x-2)(x−2)left parenthesis, x, minus, 2, right parenthesis. Rewrite p(x)p(x)p, left parenthesis, x, right parenthesis as a product of linear factors.
Answer:
(3x-2)(x-2)(x+1)
Step-by-step explanation:
Here, given a factor of 3x^3 -5x^2 -4x + 4, we want to fully express the polynomial as a product of its linear factor
To find the other factors, we shall divide the polynomial by the given factor
That will be;
3x^3-5x^2-4x + 4/(x-2)
we use long polynomial division here
Please check attachment for the division
The division yields 3x^2 + x - 2
what is left is to factorize the expression above
That will be;
3x^2 + 3x -2x - 2
= 3x(x + 1) -2(x + 1)
So we have (3x-2)(x + 1)
So the complete factorization will be;
3x^3-5x^2-4x + 4 = (x-2)(3x-2)(x+1)
given M is the midpoint of RS . RM=x+3 and MS=2x-1 . x=? and RM= ?
Answers:
x = 4
RM = 7
======================================================
Explanation:
The midpoint cuts the larger segment RS in two equal halves, so RM = MS
RM = MS
x+3 = 2x-1
3+1 = 2x-x
4 = x
x = 4
RM = x+3
RM = 4+3
RM = 7
MS = 2x-1
MS = 2*4-1
MS = 7
Both RM and MS are 7 units long, which confirms our answers.
RS = RM+MS
RS = 7+7
RS = 14
Given the formula for the arithmetic sequence, an = 6+ (n - 1)3, give the first 4 terms of the
sequence.
19
find the following:
[tex]a(n) = 6 + 3(n - 1)[/tex]
[tex]a(1) = 6 + 3(1 - 1)[/tex]
[tex]a(1) = 6 + 3 \times 0[/tex]
[tex]a(1) = 6 + 0[/tex]
[tex]a(1) = 6[/tex]
_________________________________
[tex]a(2) = 6 + 3(2 - 1)[/tex]
[tex]a(2) = 6 + 3 \times 1[/tex]
[tex]a(2) = 6 + 3 [/tex]
[tex]a(2) = 9[/tex]
_________________________________
[tex]a(3) = 6 + 3(3 - 1)[/tex]
[tex]a(3) = 6 + 3 \times 2[/tex]
[tex]a(3) = 6 + 6[/tex]
[tex]a(3) = 12[/tex]
_________________________________
[tex]a(4) = 6 + 3(4 - 1)[/tex]
[tex]a(4) = 6 + 3 \times 3[/tex]
[tex]a(4) = 6 + 9[/tex]
[tex]a(4) = 15[/tex]
A rectangular garden has a length of 3a+75 cm and a width of 2a-34. What is its
perimeter?
P = 10a + 68 cm
Step-by-step explanation:Hi there !
P = 2w + 2l
= 2(2a - 34) + 2(3a + 75)
= 4a - 68 + 6a + 150
= 10a + 68 cm
Good luck !
Find the slope of the line passing through the points (2, 2) and (2,-4).
Answer:
The slope is (DNE), undefined.
Step-by-step explanation:
simplify
45÷(-3)
hhhhhhhhhhhhhhhhhhhhhhhhhhhhhh
Answer:
-15
Step-by-step explanation:
45 divided by negative 3. All you have to do is make it into multiplication. -3 × -15 = 45
Plz answer I need help my teacher doesn't explain things good
Can someone please help me .
Answer:
Distance = speed x time.
Step-by-step explanation:
Hope I helped
Please show all work
Answer:
w = 19/15 or 1 4/15
Step-by-step explanation:
11/15 = w-(8/15) // - w-(8/15)
11/15-w+8/15 = 0
19/15-w = 0 // - 19/15
-w = -19/15 // * -1
w = 19/15
w = 19/15
[tex]\bold{Hello!}\\\bold{Your~Answer~Is~Below!}[/tex]
______________________________
[tex]\bold{Solution~Steps:}[/tex]
[tex]1.)~Swap~sides~so~that~all~variable~terms~are~on~the~left~hand~side:[/tex]
[tex]\bold{\frac{11}{15} =w-\frac{8}{15}}~=~\bold{w-\frac{8}{15}=\frac{11}{15} }[/tex][tex]2.)~Since~\frac{11}{15} ~and~\frac{8}{15}~have~the~same~denominator,~add~them~by~adding~their~numerators:[/tex]
[tex]\bold{w=\frac{11+8}{15}~=~\frac{19}{15}}[/tex]______________________________
[tex]\bold{Answers:}[/tex]
[tex]Improper~Fraction~Form:\bold{w=\frac{19}{15}}[/tex][tex]Mixed~Number~Form:\bold{w=1\frac{4}{15}}[/tex][tex]Decimal~Form:\bold{w=1.266666667}[/tex]______________________________
[tex]\bold{Hope~this~helps,}\\\bold{And~best~of~luck!}\\\\\bold{~~~-TotallyNotTrillex}[/tex]
What is T?
3/8=t-1/8
Answer:
t = 0.5
Step-by-step explanation:
sence you just have to get rid of -1/8 you just have to inverse istead of -1/8 you do +1/8 to the other side and by doing that you are goving to leave t open
Each of the four shapes represents a positive whole number. The sum of the
shapes in each row and column is displayed at the end of each row and
column. Using this information, determine the numerical value of each shape.
{
23
16
24
15
19
20
23
16
Answer:
The pentagon shape = 8
The star shape = 6
The curl shape = 3
The wave pattern shape = 5
Step-by-step explanation:
Let the pentagon shape = w, the star shape = x, the curl shape = y, and the wave pattern shape = z
Horizontally, we have;
w + 2·x + y = 23.....(1)
2·y + 2·z = 16...........(2)
2·z + w + x = 24.. ..(3)
3·y + x = 15..............(4)
Vertically, we have;
2·x + z + y = 20.......(5)
2·y + w+ z = 19........(6)
From the above equations, we have;
From equation (4), we have x = 15 - 3·y
From equation (2), we have z = 8 - y
From equation (1), we have w = 23 - (2·(15 - 3·y) + y)
∴ w = 23 - 30 + 6·y - y = 5·y - 7
w = 5·y - 7
Substituting the above values for x, and z i equation (5) gives;
2·x + z + y = 2·(15 - 3·y) + 8 - y + y = 20
30 - 6·y + 8 - y + y = 20
6·y = 30 + 8 - 20 = 18
y = 18/6 = 3
y = 3
w = 5·y - 7 = 5×3 - 7 = 8
w = 8
z = 8 - y = 8 - 3 = 5
z = 5
x = 15 - 3·y = 15 - 3×3 = 15 - 9 = 6
x = 6
Therefore, we have;
w = The pentagon shape =8
x = The star shape =6
y = The curl shape = 3, and
z = The wave pattern shape =5
The number of each of the four given shapes filled in the rows and columns are;
8 inscribed pentagon shape
6 star shapes
3 spiral shapes
5 Waves inside rectangle shape
From the diagram, we see four shapes and so let us identify them with letters;
Inscribed pentagon shape = a
Star shape = b
Spiral shape = c
Waves inside rectangle shape = d
For the first row, we see 2 stars, one inscribed pentagon and one spiral shape. Thus;
a + 2b + c = 23 .....(eq 1)
For the second row, we see 2 spiral shapes and 2 Waves inside rectangle shape. Thus;
2c + 2d = 16 ......( eq 2)
For the third row, we see 1 star, one inscribed pentagon and 2 Waves inside rectangle shape. Thus;
a + b + 2d = 24 ....(eq 3)
For the fourth row, we see 3 spiral shapes and one star shape. Thus;
b + 3c = 15 ....(eq 4)
Looking at the columns, we see that;
First column;
2c + a + d = 19 ....(eq 5)
Second column, we have;
2b + c + d = 20 .....(eq 6)
From eq 4; b = 15 - 3c
From eq 2, we have; d = 8 - c
Putting them in eq 1 gives;
a + 2(15 - 3c) + c = 23
a + 30 - 6c + c = 23
a = 5c - 7
Putting d = 8 - c and a = 5c - 7 into eq 5 gives;
2c + 5c - 7 + 8 - c = 19
6c + 1 = 19
6c = 18
c = 3
Put 3 for c in a = 5c - 7
a = 5(3) - 7
a = 8
Put 3 for c in b = 15 - 3c
b = 15 - 3(3)
b = 6
Put 3 for c in d = 8 - c
d = 8 - 3
d = 5
Thus, we have;
8 inscribed pentagon shape
6 star shapes
3 spiral shapes
5 Waves inside rectangle shape
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In the first quadrant, you start at (5,3) and move 2 units up What point will you end up on?
Answer: 5,5 have a great day
The translated point (5, 5)
What is translation?A translation is a geometric change in Euclidean geometry that involves moving each point in a figure, shape, or space by the same amount in one direction. A translation may alternatively be thought of as moving the origin of the coordinate system or as adding a constant vector to each point.
Given:
In the first quadrant, you start at (5,3) and move 2 units up.
Here, up means positive changes in the second value of coordinates
Translation:
(x, y) → (x, y +2)
(5,3) → (5, 3 +2)
(5,3) → (5, 5)
Therefore, the point is (5, 5)
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what is 13 × 2/3 ???
Answer:
Im pretty sure its 8 2/3
Answer: 26/3
Step-by-step explanation: 13/1 times 2/3