Answer:
The three in the first number, 265,413 has the three in the ones place.
The three in the second number, 4.3 has the three in the tenths place.
So, the value of the three in the first number is ten times greater than the one in the second number.
How many points do you need in order to name a ray?
O
one
four
о
three
two
You need the starting point, and another point that helps direct where the ray is aimed. Call these two points A and B.
Saying "Ray AB" means we extend a line through AB such that the line goes forever through B and beyond B, but we do not do the same for point A. The point A is effectively a cliff where no road goes on the other side of it. Check out the diagram below to see what I mean. The arrow means the line goes on forever in that direction.
a manned rocket accelerates at a rate of 20 m/s2 during launch How long does it take the rocket reach a velocity of 400 m/s?
Answer:
Step-by-step explanation:
acceleration, a = 20 m/s^2
initial velocity, u = 0 since it starts from rest
final velocity, v = 400 m/s
v = u + at
400 = 0 + 20 t
400 = 20 t
t = 400 / 20
t = 20 sec
Hope this helps
plz mark as brainliest!!!!
It will take 20 sec the rocket reach a velocity of 400 m/s
What are equations of motion?There are three equation of motions that can be used when motion of the object is under constant acceleration and on a straight path.
They are listed below as:
[tex]v = u + at\\\\s = ut + \dfrac{1}{2} at^2\\\\v^2 = u^2 + 2as[/tex]
We are given that manned rocket accelerates at a rate of 20 m/s2 during launch
The acceleration, a = 20 m/s^2
The initial velocity, u = 0 since it starts from rest
The final velocity, v = 400 m/s
Therefore, v = u + at
400 = 0 + 20 t
400 = 20 t
t = 400 / 20
t = 20 sec
Hence, It will take 20 sec the rocket reach a velocity of 400 m/s
Learn more about equation of motion here:
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What is the greatest common factor of 36, 34, and 22?
We have that the factors of the individual Number
(1,2,3,4,6,9,12,18,36),( 1,2,17,34),( 1,2,11,22 ) respectively
The greatest common factor is 2
2
From the question we are told
What is the greatest common factor of 36, 34, and 22?
Generally the equation for the Factors is mathematically given as
36 factors are as follows 1,2,3,4,6,9,12,18,36
34 factors factors are as follows 1,2,17,34
22 factors factors are as follows 1,2,11,22
Therefore
From the factors of the individual Number
(1,2,3,4,6,9,12,18,36),( 1,2,17,34),( 1,2,11,22 ) respectively
The greatest common factor is 2
2
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Please Help! I'm Stuck!
Answer:
19
Step-by-step explanation:
Assuming that [tex]l[/tex] represents length and [tex]w[/tex] represents width, we can make a systems of equations and solve for l and w.
[tex]2l+2w=60[/tex], since the perimeter of a rectangle will be double the length plus double the width.
Also we can make the equation [tex]l = 2w+3[/tex], as stated in the last part of the question.
We can now substitute the value of [tex]2w+3[/tex] into the equation [tex]2l+2w=60[/tex] as l.
[tex]2(2w-3) + 2w = 60\\\\4w-6+2w=60\\\\6w-6=60\\\\6w=66\\\\w = 66\div6\\\\w = 11[/tex]
So we know the width is 11. Now that we know the width, we can substitute it back into the equation [tex]l = 2w+3[/tex] to find the length.
[tex]l=2\cdot11-3\\\\l=22-3\\\\l=19[/tex]
So the length is 19.
Hope this helped!
4b + 11 + 8b + 1 = 180
Answer:
b=14
Step-by-step explanation:
Add 4b and 8b, which you get 12b. Then you add 11 and 1 which you get 12.
12b + 12 = 180 is the next equation.
Afterwards, you subtract 12 from 180.
12b = 168
Divide 12b from 168.
b = 14
Find for B?
Mk in this equation
4b + 11 + 8b + 1 = 180
Subtract 11 and 1 from both sides
4b + 8b = 168
Combine unknowns
12b = 168
Find b by dividing by 12
Thus, B = 14
Hope this helps,
Jeron
P.S, if you found this really helpful, consider marking brainliest, (you don't have to btw)
AB has endpoints at (-4,5) and (4,-3) using the midpoint formula what is the midpoint segment
Answer:
(0,1)
Step-by-step explanation:
Find the value of term a14 in the sequence. 7, 2, -3, -8, -13...
Answer:
-58
Step-by-step explanation:
The first term (a₁) is 7 and the common difference (d) is 2 - 7 = -5.
Explicit formula of arithmetic sequence: aₙ = a₁ + (n - 1) * d
aₙ = 7 + (n - 1) * (-5) = 7 - 5n + 5 = -5n + 12
Therefore, a₁₄ = -5 * 14 + 12 = -58.
Find the Product. 437 × 16
Answer: [tex]6692[/tex]
Look at the image for work...
Find the equation of a line that is perpendicular to the line -2y+20=8x and passes through the point (7,2).
Answer:
8y -2 = 2x
Step-by-step explanation:
The equation of the perpendicular line will have the coefficients of x and y swapped, and one of them negated. The constant can be found by substituting the given point value:
8y +constant = 2x . . . . coefficients swapped; former y-coefficient negated
8(2) +constant = 2(7) . . . . . fill in given point values (x, y) = (7, 2)
constant = 14 -16 = -2 . . . . subtract 16
The equation can be written as ...
8y -2 = 2x
_____
Additional comment
Personally, I prefer standard form, which has common factors removed from the coefficients, and has the constant separated from the variable terms:
x -4y = -1
Some like the slope-intercept form better:
y = 1/4x +1/4
Apparently, your curriculum author doesn't care how the equation of the line is written, so we have answered with the same form that was given.
3(3a - 5b) - (a - 76)
Answer:
8a-15b+76
Step-by-step explanation:
that is the answer
Solve 4(p - 15)=312 please
Answer:
p = 93
Step-by-step explanation:
4(p - 15)=312
4p - 60 = 312
4p - 60 + 60 = 312 + 60
4p = 372
4p/4 = 372/4
p = 93
Answer:
the answer is 93......
The parallelogram shown below has an area of 54 units^2 squared. Find the missing height. h = units.
Answer:
See Explanation
Step-by-step explanation:
This question requires an attachment.
However, if you follow my explanation, you'll arrive at your answer
The area of a parallelogram is:
[tex]Area (A)= Base (b) * Height (h)[/tex]
[tex]A = b * h[/tex]
To solve for Height, we simply make h the subject of formula
[tex]h = \frac{A}{b}[/tex]
In this question, we have that A = 54
Now, let's assume base (b) = 6.
This implies that
[tex]h = \frac{54}{6}[/tex]
[tex]h = 9[/tex]
Or;
Assume that b = 3
[tex]h = \frac{54}{3}[/tex]
[tex]h = 18[/tex]
So, whatever the base of the parallelogram is;
You can easily solve for the height using the above steps
In the exam 45% students failed and 550 students were successful. The total number of students appeared in the exam.
Answer:
1000
Step-by-step explanation:
Find ????⋅ ???? if |????|=3 , |????|=9 , and the angle between ???? and ???? is π2 radians.
a.b = _______
Answer:
[tex]a{\cdot}b=0[/tex]
Step-by-step explanation:
It is given that,
Magnitude of a A, [tex]|A|=3[/tex]
magnitude of B, [tex]|B|=9[/tex]
The angle betwern a and b is [tex]\dfrac{\pi}{2}\ rad=90^{\circ}[/tex]
Dot product,
[tex]a{\cdot} b=|a||b|\ \cos\theta\\\\a{\cdot} b=3\times 9\times \ \cos(90)\\\\a{\cdot} b=0[/tex]
So, a.b is equal to 0.
what is (5x-2)(4x^2 -3x-2)
Answer:
20x^3-23X^2-4X+4
Step-by-step explanation:
Please help, enter your answer as a number to a power!
●✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎❀✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎●
Hi my lil bunny!
❧⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯☙
Let's simplify step by step.
[tex]9x^{-53}[/tex] × [tex]9x^{37}[/tex]
[tex]= ( 9x^{-53}[/tex] × [tex]9x^{37})[/tex]
[tex]= 9x^{-53}[/tex] × [tex]9x^{37}[/tex]
[tex]= 9x^{-16}[/tex]
[tex]= \frac{1}{_{9} 16}[/tex]
[tex]= \frac{1}{1853020188851841}[/tex] (Decimal: 0)
❧⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯☙
●✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎❀✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎●
Have a great day/night!
❀*May*❀
A = 5 B = 3 C = 1
6A - 10B + 3C = ?
Answer:
3
Step-by-step explanation:
6(5)-10(3)+3(1)
6*5=30
10*3=30
3*1=3
30-30+3=3
Which of the following is a correct comparison of two rational numbers?a. 1.5 > 5/3b. 2.5 < 0.25c. 0.07 > 7/10d. 0.6 > 4/7
Answer:
d. 0.6 > 4/7
Step-by-step explanation:
a. 1.5 > 5/3
From part a, it is given that 1.5 is greater than 5/3
changing 5/3 to decimal figure, we get 1.67
Thus, the claim that 1.5 > 1.67 is not valid because 1.67 is greater than 1.5
b. 2.5 < 0.25
given that 2.5 is less than 0.25 is not valid because 2.5 is greater than 0.25
c. 0.07 > 7/10
if we convert 7/10 to decimal figure, we get 0.7
the claim that 0.07 is greater than 0.7 is not valid because 0.7 is greater than 0.07
d. 0.6 > 4/7
If we convert 4/7 to decimal figure, we get 0.57
Therefore, the claim that 0.6 is greater than 0.57 is accurate and valid
Hence, Option d is the correct answer.
Please helppppppppppppp
Answer:
the 5th diagram illustrates
Which symbols correctly relates the 2 numbers 55?35
Answer:
>
Step-by-step explanation:
55 is greater than 35, so the open "mouth" of the greater than sign should go towards 55.
Answer:
>
Step-by-step explanation:
A vertical pole is placed in the ground at a campsite outside Salt Lake City, Utah. One winter day, 16 of the pole is in the ground, 23 of the pole is covered in snow, and 1.8 ft is above the snow. How long is the pole, and how deep is the snow
Answer:
Length of the pole = 10.8 ft
Depth of the snow = 7.2 ft
Step-by-step explanation:
The correct question is
A vertical pole is placed in the ground at a campsite outside Salt Lake City, Utah. One winter day, 1/6 of the pole is in the ground, 2/3 of the pole is covered in snow, and 1.8 ft is above the snow. How long is the pole, and how deep is the snow.
The fraction of the pole in the ground = 1/6
The fraction of the pole in the snow = 2/3
The length of the pole above the snow = 1.8 ft
Total fraction of the length of the pole = 1
For the fraction of the length above the snow, we solve as
1/6 + 2/3 + [tex]x[/tex] = 1
[tex]x[/tex] = 1 - 1/6 - 2/3 = 1/6
This means that the length of the pole above the snow 1.8 ft = 1/6 of the length of the pole.
Also, the fraction of the pole in the ground = 1/6
this means that the length of the pole in the ground = 1.8 ft
If 1/6 of the length of pole is 1.8 ft,
the length of the pole = 1.8 ft x 6 = 10.8 ft
Length of the pole in the snow = 2/3 of 10.8 = 2/3 x 10.8 = 7.2 ft
this means that the the snow is 7.2 ft deep
help me pleasee (and no I’m not gonna follow u if u ask just help)
Answer:
option B is correct -7 is the answer
Step-by-step explanation:
=4⁴-3³.(12-3)-20
=256-27×(9)-20
=256-243-20
=256-263
=-7
hope it will help ^_^
Answer:
[See Below]
Step-by-step explanation:
First you'll solve the parenthesis part:
* 12 - 3 = 9
Then Solve the exponents:
* 4^4 = 256 (4 x 4 x 4 x 4)
* 3^3 = 27 (3 x 3 x 3)
Rewrite:
* 256 - 27 x 9 - 20
Multiply:
* 27 x 9 = 243
Subtract:
* 256 - 243 = 13
* 13 - 20 = -7
So the answer would be B, -7
(Remember to use PEMDAS to solve)
{(-4, 1), (-3,5), (-1,0), (6, 2), (9,5)} is this a function or not?
1. Morgan works as a chef at a local restaurant. She makes $15.50 per hour
She worked 30 hours this week. How much money did she earn?
Answer:
$465 for that week
Step-by-step explanation:
Since Morgan makes $15.50 an hour and she works for 30 hours the answer would be multiplication which would be this:
$15.50 × 30 = $465
Hope this Helps :)
Answer:
she earned $465
Step-by-step explanation:
you multly the money by the hours
$15.50 x 30= 465
a population has a mean of 25 median of 24 and mode of 26 the standard deviation is 5 the value for the
Complete Question
A population has a mean of 25, a median of 24, and a mode of 26. The standard deviation is 5. The value of the 16th percentile is _______. The range for the middle 3 standard deviation is _______.
Answer:
The value of the 16th percentile is [tex]x = 20[/tex]
The range for the middle 3 standard deviation is [tex]10 \to 40[/tex]
Step-by-step explanation:
From the question we are told that
The mean is [tex]\mu = 25[/tex]
The median is [tex]m = 24[/tex]
The mode is [tex]n = 26[/tex]
The standard deviation is [tex]\sigma = 5[/tex]
Generally the 16th percentile is mathematically represented as
[tex]P(x)= P(\frac{X - \mu }{ \sigma } \le \frac{x- 25 }{5} ) = 0.16[/te
Generally [tex]\frac{X - \mu}{\sigma } = Z(The \ standardized \ value \ of \ X )[/tex]
So
[tex]P(x) = P(Z \le \frac{ x - 25}{5} ) = 0.16[/tex]
Now from the normal distribution table the z-score of 0.16 is
z = -1
[tex]P(x) = P(Z \le \frac{ x - 25}{5} ) = P(Z \le -1 )[/tex]
=> [tex]\frac{x- 25}{5} = -1[/tex]
=> [tex]x- 25 = -5[/tex]
=> [tex]x = 25-5[/tex]
=> [tex]x = 20[/tex]
The range for the middle 3 standard deviation is mathematically represented
[tex]\mu - 3\sigma \to \mu + 3\sigma[/tex]
[tex]25 - 3(5 ) \to 25 + 3(5 )[/tex]
[tex]10 \to 40[/tex]
Divide 3/12 divide 9
Answer:
[tex]\frac{7}{18}[/tex]
Step-by-step explanation:
Convert 3 1/2 to a mixed number. It should now look like this: 7/2Write out the new expression: [tex]\frac{7}{2}[/tex] ÷ [tex]\frac{9}{1}[/tex] Multiply by the reciprocal of 9/1: [tex]\frac{7}{2}[/tex] × [tex]\frac{1}{9}[/tex] = [tex]\frac{7}{18}[/tex]Answer:
7/18
Step-by-step explanation:
Olivia deposited $2,136.70 into a saving account with an interest rate of 2.7% compounded quarterly. About how long will it take for the account to be worth $4,000?
Answer:
23.3 years
Step-by-step explanation:
4000 = 2136.7(1 + .027/4)^(4t)
4000 / 2136.7 = 1.00675^4t
ln (4000 / 2136.7) / ln 1.00675^4 = t
23.301690290541729158877031400229 = t
23.3 years
Answer:
23.26 years
Step-by-step explanation:
Use the compound interest formula:
A = P [tex]( 1 + \frac{r}{100n} )^{nt}[/tex]
A = final amount
P = initial principal balance
r = interest rate
n = number of times interest applied per time period
t = number of time periods elapsed
P = $2,136.70
r = 2.7
n = 4
A = $4,000
Now we plug everything in and solve for t.
$4,000 = $2,136.70 [tex](1 + \frac{2.7}{100 * 4} )^{4t}[/tex]
$4,000 = $2,136.70 [tex](1 + .00675 ) ^{4t}[/tex]
$4,000 = $2,136.70[tex](1.00675)^{4t}[/tex] Divide each side by $2,136.70
$4,000/$2,136.70 = [tex](1.00675)^{4t}[/tex]
1.87 = [tex](1.00675)^{4t}[/tex]
log (1.87) = log [tex](1.00675)^{4t}[/tex]
log 1.87 = (4t) (log 1.00675) Divide each side by (log 1.00675)
[tex]\frac{log 1.87}{log 1.00675}[/tex] = 4t
93.044 = 4t Divide each side by 4.
93.044/4 = t
23.26 = t
23.26 years
Data accumulated by the National Climatic Data Center shows that the average wind speed in miles per hour for St. Louis,Missouri, is 9.7. Suppose wind speed measurements are normally distributed for a given geographic location. If 22.45% of the time the wind speed measurements are more than 11.6 miles per hour, what is the standard deviation of wind speed in St. Louis?
Answer:
The value is [tex]\sigma = 8.5[/tex]
Step-by-step explanation:
From the question we are told that
The population mean is [tex]\mu = 9.7[/tex]
The proportion is [tex]P(X >x) = 0.2245[/tex]
The value considered is [tex]x = 11.6[/tex]
Generally given that the speed measurement is normally distributed we have that
[tex]P(X > 11.6) = P(\frac{ X - \mu }{ \sigma } > \frac{11.6 - 9.7}{ \sigma } ) = 0.2245[/tex]
Generally
[tex]\frac{X - \mu}{ \sigma } = Z(The \ z -score \ of \ X )[/tex]
[tex]P(X > 11.6) = P(Z> \frac{11.6 - 9.7}{ \sigma } ) = 0.2245[/tex]
Hence
[tex]\frac{ 11.6 - 9.7}{ \sigma} = 0.2245[/tex]
[tex]\sigma = 8.5[/tex]
is angle 2 in the diagram and angle of elevation or an angle of depression
Answer:
Angle of elevation
Step-by-step explanation:
An angle measured from the horizontal upwards is an angle of elevation.
An angle measured from the horizontal downwards is an angle of depression.
∠ 2 is a measure from the horizontal upwards thus angle of elevation.
Note that ∠ 3 is an angle of depression
For the following questions, solve for the missing rate, base or product (round to the nearest hundredth if needed): 25% of 320 is
Answer:
80
Step-by-step explanation:
let the unknown value be x.
[tex]\frac{25}{100}*320=x\\ \frac{25*320}{100}=x\\ \frac{8000}{100}=x\\ 80=x[/tex]
Answer:
[tex]\huge\boxed{80}[/tex]
Step-by-step explanation:
[tex]25 \% \ of \ 320[/tex]
% means out of hundred and of means to multiply.
=> [tex]\\\frac{25}{100} * 320\\[/tex]
=> 0.25 * 320
=> 80