Answer:
The distance is 1.41 to nearest hundredth.
Step-by-step explanation:
The line y = x + 3 passes through the point (0, 3) on the yaxis.
Find the perpendicular line passing through this point:
y - 3 = -1(x + 0)
y = -x + 3
Now find the point where this line intersects the line y = x + 1:
y = -x + 3
y = x + 1
-x + 3 = x + 1
3 -1 = x + x
2x = 2
x = 1
and y = 2
So this point is (1, 2)
We require the distance between this point and (0, 3)
This = √((3-2)^2 + (0-1)^2) = √2
= 1.4142
Look at this equation.
6x - 4= -4(X-5)
What value of x makes the equation true?
Answer:
Step-by-step explanation:
Equation 6x - 4= -4(X-5) Remove the brackets
Solution
6x - 4 = -4x + 20 Add 4x to both sides
6x + 4x -4 = -4x+4x + 20 Combine
10x - 4 = 20 Add 4 to both sides
10x - 4 + 4 = 20 + 4 Combine
10x = 24 Divide by 10
10x/10 = 24/10
x = 2.4
Answer: x = 2.4
Please help and thank you!
x=[?]
Answer:
10 = x
Step-by-step explanation:
I believe <B = <E.
<B = 50 = <E = 5x
50 = 5x
10 = x
They had taken 8 galons of water along the bus. If there were 62 sixth graders and 2 teachers how many cups did each person get
Answer:
2
Step-by-step explanation:
8gallons=16 cup
8x16=128
62+2=64
128÷2=64
What is the surface area of the cylinder with height 4 km and radius 5 km? Round
your answer to the nearest thousandth.
[tex]\textit{surface area of a cylinder}\\\\ SA=2\pi r(h+r)~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ h=4\\ r=5 \end{cases}\implies \begin{array}{llll} SA=2\pi (5)(4+5)\implies SA=10\pi (9) \\\\\\ SA=90\pi \implies SA\approx 282.743~km^2 \end{array}[/tex]
I need to solve for X
Check the picture below.
Match the numbers with the correct label.
Answer:
a = 1/7b = 0.2c = 3/9Step-by-step explanation:
Converting all fractions to decimal (for easier comparison) :
0.21/7 = 0.143/9 = 0.33Hence,
First point (a) = 1/7Second point (b) = 0.2Third point (c) = 3/9A submarine begins 300 feet below sea level. It makes four moves of 30 feet each
toward the surface. How many more feet does the submarine need to move to reach
the surface?
Answer:
180 feet
Step-by-step explanation:
Starting number is 300. Four moves of 30 feet is 120 feet.
30x4 = 120
300-120 = 180
Answer:
180 feet.
Step-by-step explanation:
Remark
You need some formal way of expressing what is happening. You start at 300 feet below sea level, and make make 4 moves of 30 feet each. Where are you and how much further do you have to go to reach the surface?
Equation
Distance to go = distance in feet below sea level - number of moves * feet / move.
Givens.
original distance below sea level = 300 feet.
number of moves = 4
distance towards the surface for each move = 30 feet.
Distance to go. = ?
Solution
Distance to go = 300 - 4*30
Distance to go = 300 - 120
Distance to go = 180 feet
What is the mean of 7, 10, 13, 4, 12, 21, 10, 3
- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
[tex]\diamond\large\blue\textsf{\textbf{\underline{\underline{Question:-}}}}\diamond[/tex]
What is the mean of 7, 10, 13, 4, 12, 21, 10, 3?
[tex]\diamond\large\blue\textsf{\textbf{\underline{\underline{Answer and How to Solve:-}}}}\diamond[/tex]
❖ First, add all the numbers together:-
7+10+13+4+12+21+10+3
Addition results in:-
80
Now divide by how many numbers there are (here we have 8):-
80÷8=10
So we conclude that the mean is 10.
Good luck.- - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
D. 40
E. 44
8. A CD and a DVD cost $31. If a CD
a
and two DVD's cost $50, then how
much does a CD cost?
F. $ 9
G. $11
H. $12
J. $15
Answer:
The correct answer is $12
Step-by-step explanation:
To check, subtract 12 from 31
31 - 12 =19
Multiply 19 by 2
19 x 2 =38
Add 12
38 + 12 =50
34% of the 6th graders and 50% of the 7th graders want to go to the water slides. What percentage of the 8th graders want to go to the water slides?
The percentage of the 8th graders to want to go to the water slides will be 70.
What is the percentage?The quantity of anything is stated as though it were a fraction of a hundred. A fraction of 100 can be used to express the ratio.
The percentage of the 8th graders want to go to the water slides is found from;
[tex]\% (8 ^{th} grade)= 0.46-(0.5 \times 34 \%+0.3 \times 50\%_)\\\\ \% (8 ^{th} grade)=0.46-(0.17+0.15)\\\\ \% (8 ^{th} grade)=0.14\\\\ \% (8 ^{th} grade)= \frac{0.14}{0.20} \\\\ \% (8 ^{th} grade)=70\%[/tex]
Hence, the percentage of the 8th graders to want to go to the water slides will be 70.
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What is the equation of the line?
Answer:
y=1/2x+2
Step-by-step explanation:
I found this out just by looking at the line
Select the correct answer. Which sentence correctly describes a data set that follows a normal distribution with a standard deviation of 4 and a mean of 14? A. 68% of the data points lie between 10 and 14. B. 68% of the data points lie between 8 and 12. C. 68% of the data points lie between 10 and 18. D. 68% of the data points lie between 10 and 16.
Answer: Option (c) is correct.
68% of the data points lie between 10 and 18.
Step-by-step explanation: Given : a normal distribution with a standard deviation of 4 and a mean of 14
We have to choose the sentence that correctly describes a data set that follows a normal distribution with a standard deviation of 4 and a mean of 14.
Since, given 68% data.
We know mean of data lies in middle.
And standard deviation is distribute equally about the mean that is 50% of values less than the mean and 50% greater than the mean.
So, 68% of data lies
mean - standard deviation = 14 - 4 = 10
mean + standard deviation = 14 + 4 = 18
So, 68% of the data points lie between 10 and 18.
8. In the diagram, the measure of the arc from A to B not
passing through C is 80 degrees. What is the measure of
angle ACB?
A. 20 degrees
B. 40 degrees
C. 80 degrees
D. 160 degrees
The measure of the angle ∠ABC will be 40 degrees. Then the correct option is B.
What is a circle?It is the centre of an equidistant point drawn from the centre. The radius of a circle is the distance between the centre and the circumference.
In the diagram, the measure of the arc from A to B not passing through C is 80 degrees.
Then the measure of angle ACB will be
We know that Angles subtended by the very same arc at any position on the circular path are half of the angles subtended by the very same arc at the centre.
Then we have
2∠ABC = ∠AOB
2∠ABC = 80°
∠ABC = 40°
More about the circle link is given below.
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In the figure below, O is between M and P, and N is the midpoint of MO. If =MP16 and =NO4, find OP.
Answer:
O is in between m and p so it is 6
Step-by-step explanation:
In the figure below, O is between M and P, and N is the midpoint of MO. If =MP16 and =NO4, find OP.
what is the area of this ?
HELP PLEASE!!!! What is the product? Assume x> 0. ( square root of 3x + square root of 5) ( square root of 15x + 2 square root of 30)
Answer:
3x√5 + 5√3x + 6√10x + 10√6 (Option 2)
Step-by-step explanation:
Applying the distributive property :
⇒ (√(3x) + √5)(√(15x) + 2√30)
⇒ √(3x)√(15x) + √5√(15x) + √(3x)(2√30) + √5(2√30)
⇒ √45x² + √75x + 2√90x + 2√150
⇒ 3x√5 + 5√3x + 6√10x + 10√6
Let's see
(√3x+√5)(√15x+2√30)√3x(√15x+2√30)+√5(√15x+2√30)√45x^2+2√90x+√75x+2√150√9×5x²+2√(9×10)x+√25×3x+2√1503x√5+6√10x+5√3x+10√6Option B
WILL MARK BRAINLIEST
Answer:
The sum of the given sequence is 180Step-by-step explanation:
Find each term
t₁ = 2*1 + 7 = 9t₂ = 2*2 + 7 = 11t₃ = 2*3 + 7 = 13...t₉ = 2*9 + 7 = 25t₁₀ = 2*10 + 7 = 27The series is
9, 11, 13, ..., 25, 27The sum of series can be shown as
9 + 11 + 13 + ... + 25 + 27Find the sum
S₁₀ = 10/2*(9 + 27) = 5*36 = 180Answer:
180
Step-by-step explanation:
The given series means to sum the first 10 terms of the sequence [tex]a_t=2t+7[/tex]
[tex]\begin{aligned}\displaystyle \sum^{10}_{t=1}2t+7 & = (2 \cdot 1+7)+(2 \cdot 2+7)+...+(2 \cdot 9+7)+(2 \cdot 10+7)\\ & =2(1+2+...+9+10)+10(7)\\\\& = 2(1+2+...+9+10)+70\\\\ & = 2(55)+70\\\\& = 110+70\\\\ & = 180 \end{aligned}[/tex]
3.
Given: AC = 4x-29
A 19 B 2x-18
X=
AC =
BC=
C
What is the Surface Area and volume of this cylinder?
6 m
7 m
Figure nordrawn to scale
Use ti » 3.14 and round your answer to the nearest whole number.
Part A
What is the Surface Area?
square meters
Answer:131
Step-by-step explanation:
hope this helps <3
The points 1 , B and ( are (9 , 8) , ( 12, 4) and (4, - 2) respectively
(a) Find
(1)
the gradient of the line through d and B
(¡i)
the equation of the line through C which is parallel to AB
(b) Calculate the length of the line segment
(i)
[21
(11)
BC
[21
(c) Show that AB is perpendicular to BC 121
(d) Calculate the area of triangle ABC
[1)
Answer:
a.i.
[tex]mab = \frac{ya - yb}{ xa - xb} = \frac{8 - 4}{9 - 12} = \frac{4}{ -3} [/tex]
a.ii.
[tex]mc = mab = \frac{4}{ - 3} \\ (y - y1) = m(x - x1) \\ y - ( - 2) = \frac{4}{ - 3}(x - 4) \\ y + 2 = \frac{4}{ - 3}x + \frac{16}{3} \\ y = \frac{4}{ - 3} x + \frac{16}{ 3} - 2 \\ y = \frac{4}{ - 3}x + \frac{10}{3} [/tex]
what is a logarithm?
In mathematics, the logarithm is the inverse function to exponentiation. That means the logarithm of a given number x is the exponent to which another fixed number, the base b, must be raised, to produce that number x,
So in other words, a logarithm is the power to which a number must be raised in order to get some other number . For example, the base ten logarithm of 100 is 2, because ten raised to the power of two is 100: log 100 = 2. because. 102 = 100.
Hope this helps. Have a good day!
3.
Identify a horizontal or vertical stretch or compression of the function ƒ(x) = x2 by observing the equation of the function g(x) = (4x)2.
Using translation concepts, it is found that there was a horizontal compression of the function.
What is a translation?A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.
In this problem, there was a multiplication in the domain of the function, by a factor greater than 1, hence there was a horizontal compression of the function.
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The angle of depression of the top and the foot of a flagpole as seen from the top of a building 145 metres away are 26° and 34° respectively. Find the heights of the pole and the building.
The height of the pole and the building are 27.1 meters and 97.8 meters respectively.
How to find the height of the pole and the building?The situation forms a right angle triangle. The height of the building can be found using trigonometric ratios,
Therefore,
tan 34 = opposite / adjacent
tan 34 = h / 145
h = 145 tan 34
h = 145 × 0.67450851684
h = 97.8037349422
Therefore,
height of the building = 97.8 meters
tan 26 = x / 145
x = 145 tan 26
x = 70.721225342 meters
Therefore,
height of the flagpole = 97.8 - 70.7 = 27.1 meters
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Given the function = f(x) = 2x - 5, solve f(x) = 7.
Answer:
f(7) = 9
Step-by-step explanation:
f(x) = 2x - 5, solve f(x) = 7.
f(7) = 2(7) -5
f(7) = 9
Calculus, complete the sentence below.
Answer:
If a= ⅓
Gradients are perpendicular if they are multipled they will equal to - 1
PLEASE HELP?! IM SO SORRY I AM NOT GOOD AT MATH
Answer:
C.
Step-by-step explanation:
-3 7/8 rounds down to -4
4.63 rounds up to 5
-4 x 6 + 5
-24 + 5
-19
her answer (-19.14) also rounds to -19
So yes, it is reasonable and the correct response is C.
Fill in the blank
…………………..
Answer:
See below ~
Step-by-step explanation:
Q2
x - 7 > 10x - 7 + 7 > 10 + 7x > 17Q3
3x ≤ 213x/3 ≤ 21/3x ≤ 7Q4
5a - 2 < 185a - 2 + 2 < 18 + 25a < 205a/5 < 20/5a < 4Q5
2t + 8 ≥ -4(t + 1)2t + 8 ≥ -4t - 46t ≥ 126t/6 ≥ 12/6t ≥ 2I need help with number 11
Answer:
It would be C.
Step-by-step explanation:
Hope this helps! :)
00
Select the correct answer.
Using synthetic division, find (2x +4x3³ + 2x+8x+8) + (x+2).
OA 213 + 2x + 4
OB. 214 +21² +41
OC 213 +21+4+=+2
OD. 213 +21² + 4
Reset
Next
Type in your answer:
X = ?
Angle KPN =?
Angle NPO =?
Answer:
x=31
KPN =62
NPO=28
Step-by-step explanation:
KPO = 90(right angle) =2x + (x-3)
3X=90+3
X= 31
NPO = 31-3
NPO=28
KPN = 2*31
KPN =62