Answer:
y=-7x+19
Step-by-step explanation:
y-y1=m(x-x1)
y-5=-7(x-2)
y=-7x+14+5
y=-7x+19
The equation of the line with slope - 7 which goes through the point (2, 5) is
y = - 7x - 19.
What are lines and their slopes?We know lines have various types of equations, the general type is
Ax + By + c = 0, and the equation of a line in slope-intercept form is
y = mx + b.
Where slope = m and b = y-intercept.
the slope is the rate of change of the y-axis with respect to the x-axis and the y-intercept is the (0,b) where the line intersects the y-axis at x = 0.
Given, A line passes through points (2, 5) with a slope of - 7.
∴ 5 = -7(2) + b in slope-intercept form.
5 = - 14 + b.
b = - 19.
y = - 7x - 19.
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how to solve an equation using quadratic formula
Answer:
[tex]{ \rm{x = \frac{ - b \pm \sqrt{ {b}^{2} - 4ac } }{2a} }} \\ [/tex]
If one plane is flying 40 mph and another plane is flying 100 mph, and they
are 200 miles apart and flying directly toward each other, in how long will the planes
meet2
Answer:
i think 60 miles
Step-by-step explanation:
I just added the 100+40 then
200-140
Answer:
1 3/7 hours
Step-by-step explanation:
The planes are closing the 200 mile separation distance at a rate of (40 +100) = 140 miles per hour. The time it takes for that distance to be closed is ...
time = distance/speed
time = (200 mi)/(140 mi/h) = 200/140 h = 10/7 h = 1 3/7 h
The planes will meet after 1 3/7 hours, about 1 hour 25 minutes 43 seconds.
2 x 3 2 x 7 = what Prime Factorization ?
A. 42
B. 84
C. 126
D. 252
Answer:
It's B
And Prime Factorization is when 2 numbers have the same answer.
Example: 3x8=24 and 4x6=24
Step-by-step explanation:
[tex]\huge \dag \sf{Answer \: it}[/tex]
See the question below
Find n, if n is an integer.
[tex] \sqrt[3]{n + \sqrt{ {n}^{2} + 8 } }+ \sqrt[3]{n - \sqrt{ {n}^{2} + 8 } } = 8 \: [/tex]
Note: Don't spam and Don't copy from web
Need genuine answers
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The value of [tex]n[/tex] such that [tex]\sqrt[3]{n+\sqrt{n^{2}+8}}+ \sqrt[3]{n-\sqrt{n^{2}+8}} = 8 [/tex] is [tex]280[/tex].
Procedure - Determination of the root of radical functionIn this question we need to find the root of the radical function [tex]\sqrt[3]{n+\sqrt{n^{2}+8}}+ \sqrt[3]{n-\sqrt{n^{2}+8}} = 8 [/tex], which must be simplified by algebraic means.
First, we need to elevate each side of the expression by third power:
[tex]\left(\sqrt[3]{n+\sqrt{n^{2}+8}} + \sqrt[3]{n+\sqrt{n^{2}+8}} \right)^{3} = 512[/tex]
[tex]2\cdot n + 3\cdot \sqrt[3]{(n+\sqrt{n^{2}+8})^{2}\cdot (n-\sqrt{n^{2}+8})} + 3\cdot \sqrt[3]{(n-\sqrt{n^{2}+8})^{2}\cdot (n+\sqrt{n^{2}+8})} = 512[/tex]
[tex]2\cdot n -6\cdot (\sqrt[3]{n+\sqrt{n^{2}+8}} + \sqrt[3]{n-\sqrt{n^{2}+8}}) = 512[/tex]
[tex]2\cdot n - 6\cdot (8) = 512[/tex]
[tex]n = 280[/tex]
The value of [tex]n[/tex] such that [tex]\sqrt[3]{n+\sqrt{n^{2}+8}}+ \sqrt[3]{n-\sqrt{n^{2}+8}} = 8 [/tex] is [tex]280[/tex]. [tex]\blacksquare[/tex]
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1085/7 show your work
Answer:
155
Step-by-step explanation:
Elena’s Hair Salon uses an average of 5.4 quarts of shampoo per month. If Elena
wants to order for the year, how many quarts of shampoo does she need to order?
The number of quarts of shampoo does Elena need to order, When she wants to order for the year, is 64.8.
What is an unknown variable?Unknown variables are used to find the unknown values of the problem using the algebraic expressions.
To find the values of unknown quantity, the statements of a problem is converted in the algebraic equation form using the variable in place of unknown numbers.
Elena’s Hair Salon uses an average of 5.4 quarts of shampoo per month. Let suppose that she needs to order n quarts of shampoo in a year.
As it is known that there are total 12 months in a year and Elena’s Hair Salon uses an average of 5.4 quarts of shampoo per month. Thus, the number of quarts of shampoo does she need to order is,
[tex]n=5.4\times12\\n=64.8\\[/tex]
Thus, the number of quarts of shampoo does Elena need to order, When she wants to order for the year, is 64.8.
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A sporting event held at a high school had 135
attendees. The event earned a total of $930.
Admission to the event was $10 for adults and
$4 for students. How many adults (a) and how
many students (s) attended?
a + s = 135
10a + 4s = $930
[?] adults [ ] students
Answer:
65 adults and 70 students
The number of adults and students attendant the sporting event held at a high school are 65 and 70 respectively .
What is elimination method?In the elimination method, we eliminate any one of the variables by using basic arithmetic operations and then simplify the equation to find the value of the other variable. Then we can put that value in any of the equations to find the value of the variable eliminated.
According to the question
A sporting event held at a high school had 135 attendees.
In which adults and students are there .
Let adults be a
and students be s
Therefore,
The equation is
a + s = 135 ---------------------------(1)
Now,
The event earned a total of $930.
Admission to the event was $10 for adults and $4 for students.
i,e
10a + 4s = 930 ---------------------------(2)
Now , Using elimination method to solve both equations
a + s = 135 ---------------------------(1)
10a + 4s = $930 -------------------(2)
Step1: Multiplying equation 1 by 10
i,e
10a + 10s = 1350 -------------------(3)
Step2: Subtract equation (2) from (3)
10a + 10s = 1350 -------------------(3)
-10a - 4s = -930 -------------------(2)
6s = 420
s = 70
Now , Substituting the value of s in equation (1)
a + s = 135 ---------------------------(1)
a + 70 = 135
a = 65
Hence, The number of adults and students attendant the sporting event held at a high school are 65 and 70 respectively .
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In the number 5.3779, how does the value of 7 in the hundredths place compare to the value of the 7 in the thousandth place?
Options are in the picture:
*Show work*
Answer:
(b)
Step-by-step explanation:
The hundredths place is immediately to the left of the thousandths place. In our base-10 number system, moving a digit to the left one place increases its value by a factor of 10.
The value of 7 in the hundredths place is 10 times the value of 7 in the thousandths place.
Answer:
The value of the 7 in the hundredth place is 10 times the value of the 7 in the thousandth place.
Step-by-step explanation:
What is the perimeter of the inside of the track?
Answer:
Well add up the sides you can make the curving part into a full circle and calculate for the circumference.
So if the half of the circle straight part is 62 you times it by π. But π (pi) can be a fraction and a decimal: 22/7 or 3.14 although (pi) is 3.14 that is because after .14 there is ton of number so it constantly continues.
Method:
C = 2πr
or
C = πr
I hope this gives you a hint.
Answer:
394.68 m
Step-by-step explanation:
The 2 ends are half circles, so together they make a circle.
The diameter is 62 m, so the circumference is pi x diameter, or 3.14 x 62 = 194.68.
The top and bottom parts of the track are each 100 m, so add 2 of them = 200 m.
Add all 3 parts 194.68 + 200 = 394.68 m.
3x^4 + 9x^3 - 5x^2 - 14x - 7 divided by x + 3 using synthetic division
Answer:
[tex]3x^3 - 5x + 1 - \frac{10}{x + 3}[/tex]
or
3x^3 - 5x + 1
Remainder: -10
Step-by-step explanation:
Please see attached image for full explanation!
1.) Write the coefficient of each term.
2.) Beginning with 3, multiply by -3, or x + 3 = 0 (the divisor.)
3.) Add the product to the next coefficient and repeat until you get to the last number, -7.
4.) You should have the numbers 3, 0, -5, 1, and -10.
5.) Rewrite this quotient as an equation:
3x^3 - 5x + 1
Note that the highest power is 3, one less than that of the highest power in the original equation.
6.) Don't forget the remainder!
You can include this in the equation or not, depending on the instructions.
Therefore, the final answer is 3x^3 - 5x + 1 - 10/x+3 or 3x^3 - 5x + 1 R: -10.
Please help me with this it’s is urgent
Answer:
the nominator could be any number here
Step-by-step explanation:
what do you need ? the equation itself is true, if you put the same number in both places above 21.
any number is possible there, it will not change the equation.
so, again, I am not sure, what you need here.
let's write it with a variable to make my statements clearer :
9 + 1 x/21 = 10 x/21
that is true, because we can combine the whole numbers first giving us 9 + 1 = 10.
and then we add the fraction again (x/21).
again, you can put any number instead of x, and it will always be true.
example
9 + 1 4/21 = 10 4/21
5. (27:21) Harry says there are 5 families gone on
one block alone. If there are 12 families on that
block, how many families might you expect to be
gone on a street with 60 families?
Based on the number of families that left and the number in total on that block, the expected number of families gone on the other block is 25 families.
On the first block, the proportion of families that is gone is:
= Number of families gone / Total number of families on block
= 5 / 12
If there are 60 families on a block, the number gone would be:
= Proportion of families gone x Total number of families
= 5/12 x 60
= 25 families
In conclusion, 25 families would be gone
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Steph makes 90 % 90%90, percent of the free throws she attempts. She is going to shoot 3 33 free throws. Assume that the results of free throws are independent from each other. Let X XX represent the number of free throws she makes. Find the probability that Steph makes exactly 1 11 of the 3 33 free throws. You may round your answer to the nearest hundredth. P ( X = 1 ) =
Using the binomial distribution, it is found that there is a 0.027 = 2.7% probability that he makes exactly 1 of the 3 free throws.
For each free throw, there are only two possible outcomes, either he makes it, or he misses it. The results of free throws are independent from each other, hence, the binomial distribution is used to solve this question.
Binomial probability distribution
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
The parameters are:
x is the number of successes. n is the number of trials. p is the probability of a success on a single trial.In this problem:
He makes 90% of the free throws, hence [tex]p = 0.9[/tex].He is going to shoot 3 free throws, hence [tex]n = 3[/tex].The probability that he makes exactly 1 is P(X = 1), hence:
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 1) = C_{3,1}.(0.9)^{1}.(0.1)^{2} = 0.027[/tex]
0.027 = 2.7% probability that he makes exactly 1 of the 3 free throws.
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Answer:
0.03
Step-by-step explanation:
I just did it on Khan
when the angle of elevation of the sun is 78 degrees, an Statue casts a shadow that is 6m long. How far is the top of the statue to the end of it's shadow?
Answer:
28.9 m
Step-by-step explanation:
First, we can draw a picture. The statue is on the right, with the top of the statue representing the top right corner of the triangle. The angle of elevation to the sun is 78 degrees, so the angle between the shadow and the top of the statue must be 78 degrees as well. Assuming there is no angle of elevation between the shadow and the statue, we can say that the shadow and statue form a 90 degree angle because the shadow is perfectly horizontal and the statue is perfectly vertical.
We are trying to find the hypotenuse of the triangle, or the length from the top of the statue to the end of the shadow. To do this, we can utilize the fact that
cos(x) = adjacent / hypotenuse
cos(78°) = 6 / hypotenuse
divide both sides by cos(78°) and multiply both sides by hypotenuse to solve for the hypotenuse
hypotenuse = 6/cos(78°) ≈ 28.9 m
Dwayne plans to add a railing parallel to a flight of stairs that goes down to the basement in his house. The stairs have the dimensions shown in the sketch. Landing 7.5 in 9.5 in 7.5 95 9.5 What will be the length of the railing from Point A to Point B? Show or explain how you got your answer.
Answer:
121 inches
Step-by-step explanation:
See the attached diagram. We can form a right triangle as shown. The base and sides of the right triangle can be computed by adding the 10 steps of horizonal distance 9.5" (95" for the base) and the 10 vertical distances of 7.5" (75" total) for the height. Use the Pythagorean Theorem to calculate the hypotenuse, which will be the same as the railing length.
help please anybody which too are correct
the 1st and 2nd ones r correct
Step-by-step explanation:
hope this helps
Rewrite the expression 3a^2b^3c^5 / 8x^4y^3z so that it has no denominator
Which inequality is graphed on the number line?
What is the measure of angle B?
Answer:
m∡B = 120°
Step-by-step explanation:
base angles are equal
adjacent angles are supplementary so:
4x+20 + 3x-15 = 180
7x + 5 = 180
7x = 175
x = 25
∡B = 4(25) + 20
∡B = 120°
Answer:
39.6
Step-by-step explanation:
(3x-15)+(4x+20)+2x=360
9x+5=360
9x=355
*Divide each side by 9*
X=39.4
*SUBSTITUTE X*
3(39.4)-15=103.2
4(39.4)+20=177.6
*ADD THE TOTALS FROM ABOVE*
103.2+177.6= 280.8
360-280.8=79.2
*DIVIDE THE TOTAL BY 2*
79.2/2=39.6
*CHECK*
3(39.4)-15=103.2
4(39.4)+20=177.6
103.2+177.6+39.6+39.6=360 IS CORRECT.
Hope this helps! :)
1. An expressions equated to another expression is called _______.
2. If a = 5, the value of 2a + 5 is _______.
3. The sum of twice and four times of the variable x is ______.
need help ~
thx for answering~
Answer:
1:Cubic
2:5a and the value in the 2a is a exp.
3:Quintic
Step-by-step explanation:
Im sure this answer is correct
An expressions equated to another expression is called an equation
An equation is an expression that is used to show the relationship between two or more variables and numbers.
Given that a = 5, hence:
2a + 5
substituting values:
2(5) + 5 = 10 + 5 = 15
2a + 5 = 15
The sum of twice and four times of the variable x is 2x + 4x = 6x
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Write an expression for the volume of the figure as a polynomial in standard form. (multiple choice)
Answer:
3.
2x^3+10x^2+14x+6
Step-by-step explanation:
according to figure,
v=w•l•h
(2x+2)(x+1)(x+3)
=(2x+2)x(x+1)+3(X+1)
=(2x+2)(x^2+4x+3)
=2x(x^2+4x+3)+2(x^2+4x+3)
=2x^3+10x^2+14x+6
The volume of the figure as a polynomial in standard form is
V = 2x³ + 10x² + 14x + 6.
What is a cuboid?A closed three-dimensional geometric shape called a cuboid is surrounded by six rectangular plane sections.
The given figure is a cuboid with dimensions (2x + 2), (x + 1), and (x + 3).
The volume of the cuboid is the multiplication of its dimension, therefore, the volume of the cuboid is:
V = (2x +2)(x + 1)(x + 3)
V = (2x² + 2x +2x + 2)(x + 3)
V = (2x² + 4x + 2)(x + 3)
V = 2x³ + 6x² + 4x² + 12x + 2x + 6
V = 2x³ + 10x² + 14x + 6
Hence, the volume of the figure as a polynomial in standard form is
V = 2x³ + 10x² + 14x + 6.
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Which correlation coefficient best matches the graph?
Answer:
Which graph?
Step-by-step explanation:
Answer:
where is the graph
Step-by-step explanation:
umm i dont know how to answer
Find the value of f(7).
y = f(x)
Let a and b stand for two different rational numbers. If |a|>|b|, then what else must be true?
its for imagine math
Answer:
dont now
Step-by-step explanation:
help pls!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
Name:
Grade & Section:
Date Submitted: 12/14/2021
Advent: Use it
Christmas: Open gifts under the tree left by Santa
Ordinary Time:
Lent: Celebrate Jesus.
Paschal Triduum: The Proper day to Celebrate Jesus
Easter: It is a Holiday where you celebrate a bunny and get candy.
Step-by-step explanation:
So is what you do here is you enter your Name, Grade & Section, and Date which i've already given you. So your assignment is about how you will participate in the seasonal activity. So Advent looks like it would be a Advent Calendar.
Christmas You wanna open gifts
Now I left Ordinary Time blank because you need to put what time you would regularly open gifts or if you do not celebrate Christmas put what time you'd like to open gifts at.
Lent: is where you celebrate Jesus and what he did on his time being on Earth.
Paschal Triduum is basically the same as Lent but it is the proper day you celebrate Jesus Which starts April 13 & Ends Saturday, April 16
Easter: Is where you usually get candy but it is in a hunt form
-0.5 (bar over 5) as a fraction simplified
Answer:
5/9
step by step follow up
What another number is divider to pi 3.14
The another number is divider to pi 22/7
The another number is divider to pi 22/7
I need to know if they are simular or not, i also need an explanation
Answer:
Step-by-step explanation:
11
Electroboy has been charged up to +96 C which of course causes an electric field to emanate around him. An electroball charged to 2,8 C is thrown at him and gets close enough to experience an electric field of 20 N/C. What is the electric force on the electroball from electroboy's electric field at this moment?
Answer:
static electricty
Step-by-step explanation:
it is preserved charge
Answer:
its electroboom not boy
Step-by-step explanation:
lol its static
Can someone please help me with this one I would appreciate it very much!! :D
Answer:
Abby will earn $510 if she works 60 hours.
Step-by-step explanation:
8 hrs --> $68
1 hr --> 68 × 1/8 = $8.5
So, 60 hrs
= 8.5 × 60
= $510