Answer:
Y=8
Step-by-step explanation:
If it's a line that is parallel to the x-axis, and you know the equation of a line is y=mx+b, the slope(m) is 0 because the line is not a positive or negative slope (since it's parallel to the x-axis).
So, we now have y=b, where b is the y-intercept. Now, since we know one of its coordinates are (5,8), we know that this line will always stay on y=8 since 8 is the y coordinate of (5,8)
An easy shortcut is if you see the question say parallel to the x-axis, the equation of the line will be y=___; if it says the line is parallel to the y-axis, the equation will be x=___
Find an equation for the surface obtained by rotating the line x = 6y about the x-axis.
Answer:
[tex]\frac{x^2}{36}=y^2+z^2[/tex]
Step-by-step explanation:
If we loo at the xy plane and consider the point (6y, y, 0), it looks like a circular path that is a cone as the curve is rotated about the x axis. The equation of the cone has the form:
[tex]\frac{x^2}{c^2}=\frac{y^2}{a^2}+\frac{z^2}{b^2}[/tex]
Given that x = 6y, to make the equation to be in the form as seen above, we square x = 6y, hence:
x² = (6y)²
x² = 36y²
The path parallel to yz axis are circles, so the equation should be as that of a circle. We need to add 36z², hence:
x² = 36y² + 36z²
[tex]\frac{x^2}{36}=y^2+z^2[/tex]
[tex](\frac{x}{6})^2=y^2+z^2[/tex]
This equation is that of a circle with radius of r = y = x/6, the resulting surface is that of a cone
The measures of two supplementary angles are 8w + 58 and 16w + 14. Find the measures of the angles
Answer:
34
Step-by-step explanation
What's the difference between 2x+2 and 2x+2=10?
Answer:
10Step-by-step explanation:
Given both expression
2x+2 and
2x+2=10
the difference inlvosves basically the subtraction of one expression from the other expression.
now before we perform the subtraction operation, let us do some preprocessing.
let us equate the first and second expression to zero
2x+2=0 and
2x+2-10=0
we can now subtract
(2x+2)-(2x+2-10)=0
open bracket
2x+2-2x-2+10=0
collect like terms
2x-2x+2-2+10=0
0+0+10=0
the answer is 10
Simplify. 1/3(1−1/4)^2 please
Answer:
3/16
Step-by-step explanation:
1/3(1-1/4)^2
1/3(3/4)^2
1/3(9/16)
3/16
Answer:
[tex]\huge \boxed{\frac{3 }{16}}[/tex]
[tex]\rule[225]{225}{2}[/tex]
Step-by-step explanation:
[tex]\displaystyle \frac{1}{3} (1-\frac{1}{4} )^2[/tex]
Solving for brackets:
[tex]\displaystyle \frac{1}{3} (\frac{4}{4} -\frac{1}{4} )^2[/tex]
[tex]\displaystyle \frac{1}{3} (\frac{3}{4} )^2[/tex]
Squaring the fraction:
[tex]\displaystyle \frac{1}{3} (\frac{3^2 }{4^2 } )[/tex]
[tex]\displaystyle \frac{1}{3} (\frac{9 }{16} )[/tex]
Multiplying the fractions:
[tex]\displaystyle \frac{1 \times 9 }{3 \times 16}[/tex]
[tex]\displaystyle \frac{9 }{48}[/tex]
Simplifying the fraction:
[tex]\displaystyle \frac{3 }{16}[/tex]
[tex]\rule[225]{225}{2}[/tex]
3(n+1)=5.4 Solve for n
Answer:
n =0.8Step-by-step explanation:
[tex]3(n+1)=5.4[/tex]
Expand ; 3(n+1)
[tex]3(n+1) =3n +3\\\\3n+3 =5.4[/tex]
Collect like terms and simplify
[tex]3n =5.4-3\\3n=2.4[/tex]
Divide both sides of the equation by 3
[tex]\frac{3n}{3} = \frac{2.4}{3} \\\\n = 0.8[/tex]
Answer:
The value of n is 0.8 .
Step-by-step explanation:
First, you have to expand to get rid of brackets :
[tex]3(n + 1) = 5.4[/tex]
[tex]3n + 3 = 5.4[/tex]
Next, you have to subtract 3 on both sides to remove 3 at the left side :
[tex]3n + 3 - 3 = 5.4 - 3[/tex]
[tex]3n = 2.4[/tex]
Lastly, you have to divide 3 on both sides :
[tex]3n \div 3 = 2.4 \div 3[/tex]
[tex]n = 0.8[/tex]
train A arrives at the station at 11:50 Am and leaves the station at 1:50 PM.how long does it stay in the station?
Answer:
2 hrs.
Step-by-step explanation:
11:50am ----> 12:50pm (1 hr.)
+
12:50pm ---> 1:50pm (1 hr.)
= 2 hrs
3. While trick or treating with his buddies, Albert noticed he received 7 Kit Kat bars after
visiting 10 houses. If they plan on visiting 65 houses, how many Kit Kat bars might he receive
by the end of the night?
I'm thinking of a number.My number is a whole number.My number is larger than 100.My number mod 17 = 9.My number is smaller than 200.What could be number be? (Give one possible answer. There are several correct answers.)
Answer:
the number could be any of these numbers (111, 128, 145, 162, 179, 196)
Step-by-step explanation:
From the given information, let the number that I'm thinking of to be p
p is > 100
p is < 200
and p = 9 (mod 17)
This implies that 17 ÷ p -9
p - 9 = 17q
here;
q is an integer
p = 9 + 17q
However,
100 < p < 200
= 100 < 9+17q < 200
= 100 - 9 < 17q < 200 -9
= 91 < 17q < 191
Dividing both sides by 17; we have:
= [tex]\dfrac{91}{17}< q < \dfrac{191}{17}[/tex]
= 5.45 < q < 11.24
thus the possible values of q are between 6,7,8,9,10 and 11
The possible values of p can now be:
p = 9 +17(q)
p = 9+17(6), 9+17(7), 9+17(8), 9+17(9), 9+17(10), 9+17(11)
p = 111, 128, 145, 162, 179, 196
Therefore, the number could be any of these numbers (111, 128, 145, 162, 179, 196)
Triangle ABC has coordinates A(2, -5), B(1, -3), and C(6, 1). If the triangle is
rotated 180° clockwise about the origin, what are the coordinates of A'?
Answer:(2,5)
Step-by-step explanation:
25×3/5×1/12 Multiply and simplify
[tex]25 \times \frac{3}{5} \times \frac{1}{12} = [/tex]
[tex]5 \times \frac{3}{1} \times \frac{1}{12} = [/tex]
[tex]5 \times \frac{1}{1} \times \frac{1}{4} = [/tex]
[tex]5 \times 1 \times \frac{1}{4} = [/tex]
[tex]5 \times \frac{1}{4} = [/tex]
[tex] \frac{5}{4} = 1 \frac{1}{4} [/tex]
Thank you.
Answer:
1.25
Step-by-step explanation:
We can start by multiplying the top part of the fraction. On the top, we have 25, 3, and 1. 25x3x1=75
Now we do the bottom. We have 5 and 12. 5x12=60
Now that we have both parts, we put it back into the fraction.
75/60
75/60=1.25
Find f(-7) if f(x) = 2x+8.
-6
03
02
22
Which graph shows the solution of the following system of inequalities :
F
G
H
J
ANSWER FAST!!!!!! 25 POINTS!!!!!!!!
Answer:
X,Z,Y
Step-by-step explanation:
9π=28.27
√3/2=0.866
z=27.5
remember all are in cm^2 so no conversion is needed
Answer:
Circles X, Z, Y.
If m<TUV = (9x + 1), m<TUW = (7x-9), and m<WUV = (5x - 11), find the value of x.
Answer: x = 7
Step-by-step explanation:
Suppose ray UW divides ∠TUV into two angles ∠ TUW and ∠ WUV.
Then, m∠TUV = m∠ TUW + m ∠ WUV (i)
Given, m∠TUV = (9x + 1) , m∠ TUW = (7x-9) and m ∠ WUV = (5x - 11)
Substitute these values in (i), we get
[tex]9x+1=7x-9+5x-11\\\\\Rightarrow\ 9x+1= 7x+5x-9-11\\\\\Rightarrow\ 9x+1=12x-20\\\\\Rightarrow\ 12x-9x= 1+20\\\\\Rightarrow\ 3x= 21\\\\\Rightarrow\ x=\dfrac{21}{3}\\\\\Rightarrow\ x=7[/tex]
Hence, the value of x = 7.
Answer:
x=7
Step-by-step explanation:
That’s a Meanie Genie. On an archeological dig near the highlands of Tibet, Alley discovered an ancient oil lamp. Just for laughs she rubbed the lamp. She quickly stopped laughing when a huge puff of magenta smoke spouted from the lamp and an ornery genie Murray appeared. Murray gave her two balance scales and nine identical stones as per her three wishes. Alley may use each of the scales exactly once. Choose a possible way for Alley to select the slightly heavier stone containing Ramanujan from among the nine identical-looking stones.
Answer:
Step-by-step explanation:
Arrange the stones into 3groups of 3and place one group on one side of the first balance scale and another group on the other side.
If both sides weigh the same, then she knows that the (heavier) jewel must be in the third group of three. However, if one side is heavier than the other, then she knows that the jewel is one of the three that weighed more. In either case, after only one weighing, Alley is able to identify a group of only three stones among which is the Rama Nujan.
Then take 2 of the 3 stones and place one on each side of the second scale. If one weighs more than the other, then she knows that this stone is the one containing the jewel. If they both weigh the same, then she knows that the third stone must contain the jewel.
A Meanie Genie.
An archeological dig was performed by a team of researchers near the highlands of the Tibet and alley found an ancient oil lamp. She rubbed the lamp and saw a huge puff of magenta smoke coming from it. Later in the genie appeared. She gave him a balance scale and nine identical stones.
Hence answer is the third stone contains jew.
After the arrangement, of the 3 types of stones one side of the first balance scale and another on the group of the other side. Both balances scale to weight the same the heavier consists of the jew than the others.Taking two and three on the scale she knows that the third is having the jewel.Thus alley choose a slightly heavier stone which continued the Ramanujan from the 9 identical ones.Learn more about the Meanie Genie.
brainly.com/question/12420511.
A small apple weighs 4.5 ounces. If it is divided into 4 equal pieces, how much does each piece weigh?
The graph of the function f is shown. The domain of f is [0, 50]. What is the range of g(x) = 4f(x)? PLEASE HELP!
Answer: the range of g(x) is [0, 7]
Step-by-step explanation:
The domain is the set of the possible values of y.
We can see that, for y = f(x) in the domain [0, 50]
The smallest possible value of y is 0, and the largest possible value of y is 1.75 (at x = 25).
Then the range of f(x) is [0, 1.75]
Now, if we have the function g(x) = f(x)*4
Let's analyze the possible values of g(x) in these extremes of the range of f(x).
when f(x) is in the minimum, f(x) = 0, we have that g(x) is:
g(x) = f(x)*4 = 0*4 = 0.
So 0 is the minimum in the range of g(x).
Now, for the maximum of f(x) (f(x) = 1.75) we have:
g(x) = f(x)*4 = 1.75*4 = 7
Then the range of g(x) is [0, 7]
Drag each equation to the correct to the correct location on the table
Answer:
x=3
2(2x-3)=65x - (3x-1)=75x-2x-4=5x=2
5(x+3)=254x-(2x+1)=3x+2x+3=9
Answer:
x=3
2(2x-3)=6
5x - (3x-1)=7
5x-2x-4=5
x=2
5(x+3)=25
4x-(2x+1)=3
x+2x+3=9
Ben works at a mobile phone store, where he earns a flat $80 for each 8-hour shift. He also earns a commission of $20 for each phone that he sells. If e stands for Ben's earnings and m is the number of mobile phones he sells, which of the following equations describes the amount of money that he earns in one shift? Question 6 options: A) e = m + 100 B) e = 20m + 80 C) e = –20m + 80 D) e = m + 80
Answer:
b
Step-by-step explanation:
he makes 80 dollars for a normal shift
20 dollars for every phone he sells 20m
and e is the total amount
e=20m+80
A political scientist surveys 38 of the current 153 representatives in a state's congress.
Answer:
What is the question? Is this a true or false question ?
Step-by-step explanation:
The percentage of surveys done if, A political scientist surveys 38 of the current 153 representatives in a state's congress is 25%.
What is percentage?As it is clear from the term, percent means measuring anything per hundred. For example, you get marks per 100 marks, so you get the percentage.
Given:
The number of surveys done = 38,
The representatives in a state's congress = 153,
Calculate the percentage as shown below,
Percentage of survey = The number of surveys done / total representative × 100,
Percentage of survey = 38 / 153 ×100
Percentage of survey = 0.25 × 100
Percentage of survey = 25 %
To know more about percentages:
https://brainly.com/question/26080842
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The complete question is: A political scientist surveys 38 of the current 153 representatives in a state's congress. Calculate the percentage of the survey.
The base of 14-foot ladder is 6 feet from a building. If the ladder reaches the flat roof, how tall is the building?
Answer:
Approximatly 12.65
Step-by-step explanation:
You would use the pythagorean Theoram for this.
[tex]a^{2}+6^{2}=14^{2}[/tex]
[tex]a^{2}+36=196[/tex]
Subtract 36 from both sides:
[tex]a^{2}=160[/tex]
Square 160 to remove the exponent on "a":
[tex]a=\sqrt{160}[/tex]
[tex]a≈ 12.65[/tex]
If the ladder reaches the flat roof, then the height of the building will be 12.65 feet.
What is a right-angle triangle?It's a form of a triangle with one 90-degree angle that follows Pythagoras' theorem and can be solved using the trigonometry function.
The Pythagoras theorem states that the sum of two squares equals the squared of the longest side.
The Pythagoras theorem formula is given as
H² = P² + B²
The base of 14 feet ladder is 6 feet from a building. Then the length of the hypotenuse is 14 feet and the base is 6 feet. Then the height of the building will be given by the Pythagoras theorem.
If the ladder reaches the flat roof, then the height of the building will be
H² = P² + B²
14² = P² + 6²
196 = P² + 36
P² = 196 - 36
P² = 160
P = 12.65 feet
If the ladder reaches the flat roof, then the height of the building will be 12.65 feet.
More about the right-angle triangle link is given below.
https://brainly.com/question/3770177
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write the interval in set builder notation (-2,3)
Answer:
helium,nitrogen
Step-by-step explanation:
A set-builder notation describes or defines the elements of a set instead of listing the elements. For example, the set { 1, 2, 3, 4, 5, 6, 7, 8, 9 } list the elements. The same set could be described as { x/x is a counting number less than 10 } in set-builder notation.
Give a geometric description of the following system of equations.a. 2x−4y=12 −3x+6y=−15.b. 2x−4y=12 −5x+3y=10.a. 2x−4y=12 −3x+6y=−18.
Answer:
a. No solution, parallel lines.
b. One solution.
Step-by-step explanation:
Given the system of equations:
a. [tex]2x-4y=12[/tex]
[tex]-3x+6y=-15[/tex]
b. [tex]2x-4y=12[/tex]
[tex]-5x+3y=10[/tex]
To give a geometric description of the given system of equations.
The geometric description of a system of equations in 2 variables mean the system of equations will represent the number of lines equal to the number of equations in the system given.
i.e.
Number of planes = Number of variables
Number of lines = Number of equations in the system.
Here, we are given 2 variables and 2 equation in each system.
So, they can be represented in the xy-coordinates plane.
And the number of solutions to the system depends on the following condition.
Let the system of equations be:
[tex]A_1x+B_1y+C_1=0\\A_2x+B_2y+C_2=0[/tex]
1. One solution:
There will be one solution to the system of equations, If we have:
[tex]\dfrac{A_1}{A_2}\neq\dfrac{B_1}{B_2}[/tex]
2. Infinitely Many Solutions: (Identical lines in the system)
[tex]\dfrac{A_1}{A_2}=\dfrac{B_1}{B_2}= \dfrac{C_1}{C_2}[/tex]
3. No Solution:(Parallel lines)
[tex]\dfrac{A_1}{A_2}=\dfrac{B_1}{B_2}\neq\dfrac{C_1}{C_2}[/tex]
Now, let us discuss the system of equations one by one:
a. [tex]2x-4y=12[/tex] OR [tex]2x-4y-12=0[/tex]
[tex]-3x+6y=-15[/tex] OR [tex]-3x+6y+15=0[/tex]
[tex]A_1 = 2, B_1 = -4, C_1 = -12\\A_2 = -3, B_2 = 6, C_2= 15[/tex]
Here, the ratio:
[tex]\dfrac{A_1}{A_2}=\dfrac{B_1}{B_2} = -\dfrac{2}{3}\\\dfrac{C_1}{C_2} = -\dfrac{4}{5}[/tex]
[tex]\dfrac{A_1}{A_2}=\dfrac{B_1}{B_2}\neq\dfrac{C_1}{C_2}[/tex]
Therefore, no solution i.e. parallel lines.
b. [tex]2x-4y=12[/tex] OR [tex]2x-4y-12=0[/tex]
[tex]-5x+3y=10[/tex] OR [tex]-5x+3y-10=0[/tex]
[tex]A_1 = 2, B_1 = -4, C_1 = -12\\A_2 = -5, B_2 = 3, C_2 = -10[/tex]
[tex]\dfrac{A_1}{A_2}= -\dfrac{2}{5}\\\dfrac{B_1}{B_2} = -\dfrac{4}{3}\\\dfrac{C_1}{C_2} = -\dfrac{6}{5}[/tex]
[tex]\dfrac{A_1}{A_2}\neq\dfrac{B_1}{B_2}[/tex]
So, one solution.
Kindly refer to the images attached for the graphical representation of the given system of equations.
What is the profit percentage if the selling price is Rs 3000 and the cost price is RS 2000? * 5% 15% 50% 100%
Answer:
100% 50% 5% RS2000 Rs 3000
the low temperature in Anchorage, Alaska today was -4°F. The low
temperature in Los Angeles, California was 63°F. What is the difference in
the two low temperatures?
Answer:
67°F
Step-by-step explanation:
-4-63 = - 67°F
Therefore temperature difference=67
Sandy and Steve share some prize money in the ratio 4:3. The prize money totaled $1400 How much
does Sandy receive ?
Answer:
Sandy will receive $800
Steve will receive $600
Step-by-step explanation:
Sandy : Steve = 4 : 3
Sandy = 4
Steve = 3
Total ratio = 4 + 3 = 7
Total prize money = $1400
How much does Sandy receive ?
Sandy's share = Sandy's ratio / total ratio × Total prize money
= 4 / 7 × 1400
= 4 × 200
= $800
Sandy will receive $800 out of $1400
Steve's share = Steve's ratio / total ratio × Total prize money
= 3 / 7 × $1400
= 3 × $200
= $600
Steve will receive $600 out of $1400
Check:
Sandy's share + Steve's share
= $800 + $600
= $1400
HELP ASAP PLS pls help with all the questions thank you!
answer 2. min= 30.5
max=31.5
answer 3. 5 s.f
answer 4. False
Answer:not an answer but do you go to Cwcs because I go there too
Step-by-step explanation:
9 200 711 to the nearst ten
Answer:
9,200,711 rounded would be 9,200,710
Hope this helps!! - Maddy
(if this helps please make brainliest, rate, and thank so I know how I did!)
╰(*°▽°*)╯
Square root 50 as a decimal
Answer:
I got 7.0 try that.
A football field is 120 yards by 53.333 yards. What is the area of the football field in acres if 1 acre
Answer:
Area in acres = 1.322 acre (Approx)
Step-by-step explanation:
Given:
Length of field = 120 yards
Width of field = 53.333 yards
Finds:
Area in acres
Computation:
1 acre = 4840 square yard
Area = 120 × 53.333
Area = 6,399.96 yard² = 6,400 yard²
Area in acres = 6,400 yard² / 4840
Area in acres = 1.322 acre (Approx)