Answer:
-1
Step-by-step explanation:
-3(2) = -6 + 5 = -1
Answer:
-1
Step-by-step explanation:
-3u + 5 =?
when u=2
= -3(2) + 5
= -6 + 5
= -1
Santa visits 57 houses in 40 seconds. At that rate how many houses can he visit in 160 seconds.
Uh numbers the answer is numbers
Answer:
x = 228
Step-by-step explanation:
Set up a proportion
57 houses / 40 seconds = x houses / 160 seconds
Cross multiply
9120 = 40x
Divide both sides by 40 to isolate x
x = 228
I hope this helped and please mark me as brainliest!
Solve x2 + 5x – 3 = 0 using the quadratic formula.
Solve (2x – 1)2 = 8 using the quadratic formula.
A) x = –1∕2 + , x = –1∕2 –
B) x = 1∕2 + , x = 1∕2 –
C) x = 1∕2
D) x = –1∕2
Answer:
d
Step-by-step explanation:
distribute two through the parentheses
=4x-2
move the constant to the right side and change its sign
=4x=8+2
=4x=10
divide both sides by 4
x=5/2
Mara is playing a game. There are two marbles in a bag. Ifshe chooses the purple marble, she will win $10. If she chooses the orange marble, she will win $200. What is the expected value of Mara's winnings from the game?
Answer:
Step-by-step explanation:
Mara has a 50% chance of getting the purple marble and 50% of getting an orange marble, since there's 2 marble; 1 purple and one orange; 1/2 = 50%
So she has a 50% chance of receiving $10 and a 50% chance of receiving the $200.
Standard form question
Answer:
1.64×10^7 km
Step-by-step explanation:
The Pythagorean theorem can be used to find the hypotenuse of this right triangle.
QR² = PQ² +PR²
Expressing the given distances as multiples of 10^7 km, we have ...
QR² = 0.36² +1.6² = 0.1296 +2.5600 = 2.6896
QR = √2.6896 = 1.64
The shortest distance between planets Q and R is 1.64×10^7 km.
The equation y = 1/4x represents a proportional relationship. What is the constant of proportionality?
Answer:
The constant of proportionality is k=1/4
Step-by-step explanation:
For the equation y=kx, y varies directly with x with the constant of proportionality k. Therefore, k=1/4 is the answer.
72.18 into like fraction
Write 72.18 as=
[tex]Write 72.18 as = \frac {72.18}{1} [/tex]
Multiply both numerator and denominator by 10 for every number after the decimal point[tex] \frac{78.18 \times 100}{1 \times 100} = \frac{7218}{100} [/tex]
Reducing the fraction gives[tex] \frac{3609}{50} [/tex]
2y = - 3x - 6
For the function provided below, you need to solve for slope intercept form, the x intercept and the y intercept. You must show all work for credit.
The x intercept of the equation is (-2,0) , the y intercept of the equation is (0,-3) and The slope intercept form of the equation is [tex]y = -1.5x -3[/tex] .
What is slope intercept form?The slope intercept form in math is one of the forms used to calculate the equation of a straight line, given the slope of the line and intercept it forms with the y-axis. The slope intercept form is given as, y = mx + b, where 'm' is the slope of the straight line and 'b' is the y-intercept.
What are intercepts?Using the common convention that the horizontal axis represents a variable x and the vertical axis represents a variable y, a y-intercept or vertical intercept is a point where the graph of a function or relation intersects the y-axis of the coordinate system. As such, these points satisfy x = 0and a x-intercept or horizontal intercept is a point where the graph of a function or relation intersects the x-axis of the coordinate system. As such, these points satisfy y = 0
According to the question
The equation : [tex]2y = - 3x - 6[/tex]
The x intercept of the equation :
as a x-intercept or horizontal intercept is a point where the graph of a function or relation intersects the x-axis of the coordinate system. As such, these points satisfy y = 0 .
Therefore,
at y= 0
[tex]0 = -3x -6[/tex]
[tex]6 = -3x[/tex]
[tex]x = -2[/tex]
So,
x intercept of the equation is (-2,0)
The y intercept of the equation :
As a y-intercept or vertical intercept is a point where the graph of a function or relation intersects the y-axis of the coordinate system. As such, these points satisfy x = 0.
Therefore
at x= 0
[tex]2y = -3*0 - 6[/tex]
[tex]2y = -6 \\ y = -3[/tex]
y intercept of the equation is (0,-3)
Now, The slope intercept form of the equation [tex]2y = - 3x - 6[/tex]
As slope intercept form is given as
y = mx + b
We will convert equation to standard slope intercept form
i.e
Dividing equation by 2 both side
[tex]y = -1.5x -3[/tex]
So,
m = -1.5
Hence, The x intercept of the equation is (-2,0) , the y intercept of the equation is (0,-3) and The slope intercept form of the equation is [tex]y = -1.5x -3[/tex] .
To know more about slope intercept form and intercepts here:
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If a car averages 22 miles per gallon, how many kilometers per liter is this?
We have to convert the units. 1 mile = 1.60934km, 1 gallon = 3.78541km
Since it's mile per gallon, we divide the units mentioned above.
1 mile / 1 gallon = 1 km / 1 gallon = 1.60934 / 3.78541 = 0.4251
Now multiply this result as a factor to 22
That is 22 * 0.4251 = 9.3522
So the answer is 9.3522
find n. (n!)²- 4n! - 12 = 0
Answer:
n=6 , n=-2
Step-by-step explanation:
[tex]n^{2}-4n-12=0[/tex]
Factorise to give:
[tex](n-6)(n+2)[/tex]
Set first one to equal 0:
[tex]n-6=0[/tex]
[tex]n=6[/tex]
Set second one to equal 0:
[tex]n+2=0[/tex]
[tex]n=-2[/tex]
Reason for 2 solutions:
All quadratics can have a maximum of 2 solutions like this one or a minimum of 0.
The solution(s) is the point where the graph crosses the x-axis
The image below shows the graph of the equation:
[tex]n^{2}-4n-12[/tex]
When y=0:
It intercepts the x-axis at 6 and -2 giving why n has 2 solutions
The sum of the angles of a triangle is 180°. If one angle of a triangle measures x and the second
angle measures (4x + 7)º, express the measure of the third angle in terms of x. Simplify the
expression.
.....
Answer:
-5x+173
Step-by-step explanation:
x+4x+7 (sum of the 2 angles that you know)
5x+7
180-5x+7
-5x+173
PLEASE HELP I WILL MARK BRAINLIST
What is the polynomial function in standard form with zeros -10,0,2?
a) x^3 + 8x^2 + 20x
b) x^3 + 8x^2 - 20x
c) x^2 +8x -20
d) x^2 + 8x + 20
Answer:
x³ - 8x² - 20x
Step-by-step explanation:
Zeroes: 10, 0, -2
Factors are: (x - 10), (x - 0), (x + 2)
Multiply all factors to get expression:
(x - 10)x(x + 2) = x(x - 10)(x + 2)
= x(x² - 10x + 2x - 20)
= x(x² - 8x - 20)
= x³ - 8x² - 20x
s=ut +1/2at
u=10 a= -2 t=1/2
what is the value of s
Answer: 4.5
Step-by-step explanation:
S= ut + 1/2(at)
S= 10(1/2) + 1/2(-2x1/2)
S= 5 + 1/2(-1)
S= 5 + (-.5)
S= 4.5
3 to the power of -2 as a fraction
From the power rules, the power [tex]3^{-2}[/tex] is equal to the fraction [tex](\frac{1}{3})^{-2}[/tex].
Power RulesThere are different power rules one of them is the negative exponent. For this rule when you have a negative exponent, you need to invert the number, i.e, the power base is converted to the denominator. After that, you should solve the power with a positive exponent. See the examples:
[tex]5^{-3}=(\frac{1}{5})^3=\frac{1}{125} \\ \\ \\ {\frac{4}{6} }^{-2}={\frac{6}{4} }^2=\frac{36}{16}[/tex]
Then, the question gives:
[tex]3^{-2}=({\frac{1}{3}})^2[/tex]
Read more about power rules here:
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A linear function that represents the number of video games purchased at an electronics store is compared to a different linear function that represents the amount of money the store made that day. Describe the key features of the functions that are needed to determine if these lines intersect.
Answer:
See there y-intersept and if slope is negative or positive to see if they intersect
10(11a) what is the answer need help ASAP
[tex]10(11a) \\ multiply \: \: \: 10 \: \: \: by \: \: \: 11a \\ = 10 \times 11a \\ 110a[/tex]
Answer:
110a
Hope you could get an idea from here.
Doubt clarification - use comment section.
Solve the inequality and graph the solution.
j/4>2
Answer:
J=8
Step-by-step explanation:
Multiply 4 by 2 and then you get 8 and 8/4 is 2 so J = 8
sorry if im incorect
HELP 40 POINTS!!!!!!
Answer:
x = -2
Step-by-step explanation:
the y value in slope intercept form, which is the slope, is undefined. there is no y intercept, so the only known value (the x in y=mx+b) is -2, meaning the equation is x=-2
Slope:-
[tex]\\ \sf\longmapsto m=\dfrac{-3-2}{-2+2}[/tex]
[tex]\\ \sf\longmapsto m=\dfrac{-5}{0}[/tex]
[tex]\\ \sf\longmapsto m=\infty[/tex]
Equation of line in point slope form
[tex]\\ \sf\longmapsto y-y_1=m(x-x_1)[/tex]
[tex]\\ \sf\longmapsto y-2/\infty=x+2[/tex]
[tex]\\ \sf\longmapsto x+2=0[/tex]
[tex]\\ \sf\longmapsto x=-2[/tex]
Practice using angle relationships.
Assignment
J
What is the measure of JKL?
* 60°
96°
O 80°
O 110°
O 120°
240
H
K L
Answer:
120
Step-by-step explanation:
24 + 96 = 120
Hope this helps!
Find the area of the figure. Round to the nearest tenth if necessary.
Answer:
what is the figure i can kindly help if the figure was there i will edit this message and give the answer after i see the figure
Please help!! markup and markdown word problems.
1. A boat is marked up 20% on the original price. The original price was $50. What is the sale price of the boat before sales tax?
2. Fred buys a video game disk for $4. There was a discount of 20%. What is the sales price?
3. A painting is on sale at 50% off. The sale price is $320. What was the original price?
Answer:
Step-by-step explanation:
1. A boat is marked up 20% on the original price. The original price was $50. What is the sale price of the boat before sales tax?
$50(1+0.20) = $60
2. Fred buys a video game disk for $4. There was a discount of 20%. What is the sales price?
$4(1-0.2) = $3.20
3. A painting is on sale at 50% off. The sale price is $320. What was the original price?
X*(1-0.5) = $320
X = $320/0.5
X = $640
I just need help shouldn't be too hard if you understand it
Answer:
x =|y| x right = negative x left=+ y up = + y down = -
Determine if the sequence below is arithmetic or geometric and determine the common difference/ratio in simplest form.
64,16,4,…
This is a (geometric/arithmetic) sequence and the (common ratio/common difference) is equal to ____.
Step-by-step explanation:
this is clearly not a linear sequence (the terms don't have the same difference).
so, it has to be a geometric sequence.
the common ratio is r.
s2 = s1 × r
16 = 64 × r
r = 16/64 = 1/4
control :
s3 = s2×r
4 = 16 × 1/4 = 4
correct.
Common ratio is 1/4
What is geometric progression ?A geometric progression or a geometric sequence is the sequence, in which each term is varied by another by a common ratio. The next term of the sequence is produced when we multiply a constant (which is non-zero) to the preceding term. It is represented by:
a, ar, ar2, ar3, ar4, and so on.
Where a is the first term and r is the common ratio.
This is a geometric sequence since there is a common ratio between each term. In this case, multiplying the previous term in the sequence by 1/4
gives the next term. In other words, [tex]a_n=a_1r^n^-^1[/tex]
Hence, common ratio r = 1/4
To learn more about the geometric progression here:
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HELP PLSSSS ILL GIVE 5 STARS JUST ANSWER
Answer:
-1 (color bow red)
Step-by-step explanation:
first plug x=7
-12/2(7) - 2
-12/14-2
-12/12
-1
The sum of n terms of the AP √3, √8, √18, √32,.... is
S = √2+√8+√18+√32+……………… n terms.
or, S = √2 + 2√2 +3√2 +4√2.+………………….+ n terms.
This is an A.P. in which a = √2. , d = √2.
Sn = n/2.[2.a +(n-1).d].
or, Sn = n/2.[ 2√2 +(n-1).√2].
or, Sn = (n/2).√2.[ 2 +n-1].
or, Sn = n.(n+1)/√2. Answer.
Given AP :√2,√8,√18,√32,...
First term = √2
Common difference = √8-√2
⇛ √(2×2×2)-√2
⇛ 2√2-√2
⇛√2
We know that
Sum of first n terms of an AP
⇛ Sn = (n/2)[2a+(n-1)d]
⇛ Sn = (n/2)[2√2+(n-1)(√2)]
⇛ Sn = (n/2)[2√2+√2 n -√2]
⇛ Sn = (n/2)[√2 n +√2)
⇛ Sn = (n/2)×(√2)(n+1)
⇛Sn = (n/√2)(n+1)
⇛ Sn = n(n+1)/√2
Additional comment:
nth term of an AP = a+(n-1)d
Sum of first n terms of an AP
Sn = (n/2)[2a+(n-1)d]
Sum of the first n terms = Sn =
(n/2)(a+an)
If a,b,c are the three consecutive terms in an AP then b = (a+c)/2
also read similar questions: Find the sum of last ten terms of the AP : 8, 10, 12,...., 126.
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The sum of the 8th & 4th of an Ap is 24 and sum of and sum of 6th & 10th term is 44 Find the Ap
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45% of the members in a council are female
there are 72 female council
(a) the total number of council members
(b) the number of male council members
Answer:
45% are female -> 72
100% are total -> x
x= 72• 100/45
x= 7200/45
x= 160
total= male+female
160= male + 72
male= 88
help me i really need it
Answer:
A (0, -4)
Step-by-step explanation:
How do I divide using "partial remainders"?
Step-by-step explanation:
When the modulus is ∞, the result is equal to the value in ST(0). Otherwise, C2 is set, and the result in ST(0) is called the partial remainder. The exponent of the partial remainder will be less than the exponent of the original dividend by at least 32. Using partial remainders, dividing multiples of 4 from 46 until you can't divide anymore. You can't divide anymore because 2 is less than 4. So, 2 is the remainder.
0.5 + (-1.5) - (-5.5) =
Answer:
4.5
Step-by-step explanation:
Answer:
4.5
Step-by-step explanation:
0.5 + ( -1.5 ) = -1
-1 - (-5.5) = 4.5
Hopefully this helped you. :)
The perimeter of a square is 252 feet how long is each side
I’m not sure how to set up this problem
Answer:
63 feet
Step-by-step explanation:
perimeter is the sum of all four sides and, since it's a square then all sides are equal
to find how long each side is divide 252 by 4
252÷4 = 63
Answer:
It seems like you want to solve the question, so I'll not include the answer
Square has 4 sides and each sides are identical length so.
And Perimeter is just the total length of the sides of the shape. So...
Mathematically
Perimeter of square = 4s
where s is length of one side of square
A tree that stands 75 feet tall, casts a
shadow of 30 feet at 11:00 am. What is
the ratio of the length of the shadow to the
height of the tree?
Answer:
30 to 75, 30/75, 30:75
Step-by-step explanation:
