Answer:
Step-by-step explanation:
TV = VU + TU
Subsitute.
8 = VU + 2
-2 -2
VU = 6
A line segment is also a line but a line with finite length and fixed endpoints. The length of the line segment UV is 6 units.
What is a line?A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely.
A line segment is also a line but a line with finite length and fixed endpoints.
Given that Point U is on the line segment TV. Therefore, it can be said that point U will lie between TV. Thus, we can write,
TV = TU + UV
As given the length of TV is 8 units, the length of TU is 2 units,
8 units = 2 units + UV
8 units - 2 units = UV
UV = 6 units
Hence, the length of the line segment UV is 6 units.
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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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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
which is the graph of the exponential function y=8(5)^x?
Answer:
y=8(5)^(x)
Step-by-step explanation:
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]
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)
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
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
Plz answer I need help my teacher doesn't explain things good
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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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]
in health class the students were asked what grains they preferredin the breakfeast cereal. What is the probibility that a random chosen student in the health class is listed out as their favorite grain?
Answers:
A: 20%
B: 35%
C: 14%
D: 30%
In parallelogram ABCD, what is the measure of z°?
115
60
65
180
Answer:
115
Step-by-step explanation:
angle A + angle D= 180 degrees
65+z=180
subtract 65 from both sides
z=115
Answer:
115
Step-by-step explanation:
what is the slope of the line -3 -1/3
Answer:
negative slope
Step-by-step explanation:
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
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 : )
urgent! please help!
Answer: (0,3)
Step-by-step explanation: The y-intercept is where x is 0.
write a word problem that could be solved using the expression 2x+60
Answer:
Step-by-step explanation:
james want to buy a sirt that cost 95 dollars. he only has 60 dollars saved.
if james gets paid 2 dollars a day how many days would he have to work to get 80 dollars.
solve for x
y=2x+60
95=2x+60
Identify the range of the function shown in the graph.
Answer:
There is no graph shown
Step-by-step explanation:
Answer:
no graph shown.
Step-by-step explanation:
None.
“X000” means what? Please explain
Answer:
If your talking about texting ,then this means hugs and kisses
Step-by-step explanation:
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:
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 placesIs - 7/8 or - 1/15 larger
Answer:
-1/15 because it is closer to zero on the negative half of a number line.
Answer:-1/15
Step-by-step explanation:When it comes to negatives sign the smaller number with the negative sign is always the greater number
i suck at math and i really need help asap!
Answer:
2
Step-by-step explanation:
2^{4-3}
=2
8n +7(2n-4)=4(7 + 3n) - 6
Answer:
n=5 hope this helps
Step-by-step explanation:
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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Find the slope:
A.2/5
B.-2/5
C.5/2
D.-5/2
Answer:
5/2
Step-by-step explanation:
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
Who know this for my other math these plz
Answer:
7. c
8. d
9. c
10. c
11. b
12. d
13. c
Answer:
7. C: 80
8. D: 100
9. C: 80
Step-by-step explanation:
each line equals 180
where H is at, has a 100 above it.
that equals one angle, which is 100. That line has 2 angles at equal 100 since they are one opposite sides of each other.
you subtract 180-100= 80. That's where you get ur 80 angle from. Hope this helps, I'm bad at explaining stuff
Answer the questions using the drop-down menus.
At what type of boundary do strike-strip basins form?
At what type of boundary do wedge basins form?
At what type of boundary do rift basins form?
At what type of boundary do arc basins form?
Answer:
At what type of boundary do strike-strip basins form? transform
At what type of boundary do wedge basins form? convergent
At what type of boundary do rift basins form? divergent
At what type of boundary do arc basins form? convergent
Step-by-step explanation:
Hope this helps!
Answer:
Answer the questions using the drop-down menus.
✔ transform
At what type of boundary do wedge basins form?
✔ convergent
At what type of boundary do rift basins form?
✔ divergent
At what type of boundary do arc basins form?
✔ convergent
Step-by-step explanation:
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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