Answer:
a(45) =-209
Step-by-step explanation:
a(n) = a +(n-1)d
d=-6
we have to get a1
By using:
a(10) = a1 +(10-1)-6=1
a(10) = a1 +(9)-6 =1
a1 =1+54=55
So:a(45) = 55 +(45-1)-6=-209
hope this helps
write 3.9 x 10 exponent -4 in standard form
Answer:
0.00039
Step-by-step explanation:
Solve x2 + 10x = 24 by completing the square. Which is the solution set of the equation?
O {-5 - 134,-5 + 34)
O {-5 -29, -5 + 29)
O {-12, 2)
O {-2, 12}
Plsss
The value of x from the quadratic equation is x = { 2 , -12 }
What is Quadratic Equation?A quadratic equation is a second-order polynomial equation in a single variable x , ax² + bx + c=0. with a ≠ 0. Because it is a second-order polynomial equation, the fundamental theorem of algebra guarantees that it has at least one solution. The solution may be real or complex.
The roots of the quadratic equations are
x = [ -b ± √ ( b² - 4ac ) ] / ( 2a )
where ( b² - 4ac ) is the discriminant
when ( b² - 4ac ) is positive, we get two real solutions
when discriminant is zero we get just one real solution (both answers are the same)
when discriminant is negative we get a pair of complex solutions
Given data ,
Let the quadratic equation be represented as A
Now , the value of A is
x² + 10x = 24 be equation (1)
Adding 5² on both sides of the equation , we get
x² + 10x + 25 = 24 + 25
( x + 5 )² = 49
Taking square roots on both sides , we get
x + 5 = ±7
Subtracting 5 on both sides , we get
x = 2
And , x = -12
Hence , the quadratic equation is solved and value of x is x = -12 or x = 2
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jerry started doing sit ups everyday. the first day he did 19 sit-ups. everyday after he did 4 more sit-ups than he had than the previous day. Today jerry did 81 sit-ups. write an equation that could be solved to find the number of days jerry has been doing sit-ups, not counting the first day. let n represent number of days.
Answer:
157
Step-by-step explanation:
Answer:
can you explain what two number you added to get that number "157"
Step-by-step explanation:
Order these lengths in order from least to greatest.
0.65 m
0.6 m
0.52 m
0.55 m
0.545 m
Answer:0.52, 0.545, 0.55, 0.6, 0.65
Source:trust me bro
Answer:
O.52 m, 0.545 m, 0.55 m, 0.6 m, 0.65m. :)
Step-by-step explanation:
how do i solve this?
Answer:
add up ??
Step-by-step explanation:
What's the difference between weather vanes and anemometers?
Answer:
The second one
Step-by-step explanation:
In the city of Carmen, there is a drawbridge that is opened twice per hour over the summer. The graph below shows the number of feet that the top of the bridge was above the water versus the amount of minutes that the
drawbridge was open
Answer:
1) Between 0 and 1 minute the rate of change is 25 ft./min
2) Between 1 and 2 minute the rate of change is 0 ft./min
3) Between 2 and 4 minute the rate of change is -12.5 ft./min
Step-by-step explanation:
1) Between 0, and 1 feet, we have;
The rate of change = (Final height - Initial height)/(Final time - Initial time)
The rate of change = (40 - 15)/(1 - 0) = 25 ft/min
Between 0 and 1 minute the rate of change = 25 ft./min
2) Between 1, and 2 feet, we have;
The rate of change = (40 - 40)/(2 - 1) = 0 ft/min
Between 1 and 2 minute the rate of change = 0 ft./min
3) Between 2, and 4 feet, we have;
The rate of change = (15 - 40)/(4 - 2) = -12.5 ft/min
Between 2 and 4 minute the rate of change = -12.5 ft./min
Which set of integers is listed from least to greatest.
O 2,-1,-3
0 -3, 2,5
O 0,-1, 2
0 -3,-9,-12
Answer:
B
Step-by-step explanation:
plz, answer the question in the photo.
Answer:
H
Step-by-step explanation:
Step 1 of 2: Subtract, sub-step b: Convert mixed number to improper fraction.
Convert mixed number to improper fraction
2 and 1 over 32
1
3
= ( 2 × 3 ) over 3
2 × 3
3
+ 1 over 3
1
3
= ( 6 + 1 ) over 3
6 + 1
3
= 7 over 3
7
3
Step 1 of 2: Subtract, sub-step c: Find common denominator.
Find common denominator
32 over 9
32
9
− 7 over 3
7
3
= ( 32 × 1 ) over ( 9 × 1 )
32 × 1
9 × 1
− ( 7 × 3 ) over ( 3 × 3 )
7 × 3
3 × 3
= 32 over 9
32
9
− 21 over 9
21
9
9 is the least common multiple of denominators 9 and 3. Use it to convert to equivalent fractions with this common denominator.
Step 1 of 2: Subtract, sub-step d: Subtract.
Subtract
32 over 9
32
9
− 21 over 9
21
9
= ( 32 − 21 ) over 9
32 − 21
9
= 11 over 9
11
9
Step 1 of 2: Subtract.
Step 2 of 2: Simplify.
Simplify
11 over 9
11
9
= 1 and 2 over 91
2
9
given vectors u=(-2,3) and v=(-6,9) what is the measure of the angle between u and v?
a. 0
b. 86
c. 91
d. 180
Answer: 91
Step-by-step explanation:
Angle between the two vectors u and v is option (a) 0 degree
What is Vector?Vector, in mathematics, a quantity that has both magnitude and direction
Given,
u=(-2,3)
v=(-6,9)
Angle between the two vectors θ =[tex]cos^{-1} \frac{u.v}{|u| |v|}[/tex]
[tex]u.v=(-2)(-6)+(3)(9)\\u.v=12+27\\u.v=39[/tex]
[tex]|u|=\sqrt{-2^{2}+3^{2} } \\|u|=\sqrt{13}[/tex]
[tex]|v|=\sqrt{-6^{2}+9^{2} } \\|v|=\sqrt{117}[/tex]
Angle between two vectors θ =[tex]cos^{-1} \frac{u.v}{|u| |v|}[/tex]
θ=[tex]cos^{-1} \frac{39}{\sqrt{13}.\sqrt{117} } \\cos^{-1}\frac{39}{39}\\ cos^{-1}1=0[/tex]
Hence, the angle between the vectors u and v is 0 degree
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A clothing bought a shirt from a manufacturer for $85 and marked up the price by 10% . A month later the store reduced the shirts price by 10% . What was the shirts price after that reduction
Answer: The shirt's price after reduction = $ 84.15
Step-by-step explanation:
Given: Price of shirt= $ 85
Marked up percent = 10%
Reduced percent = 10%
Price after mark up = (Price of shirt) + 10% of (Price of shirt)
= $ (85+10% x 85)
= $ (85+(0.1) x (85))
= $ (85+8.5)
= $ 93.5
Price after 10% reduction = (Price after mark up)- 10% of (Price after mark up)
= $ (93.5-0.1 x 93.5)
= $ (93.5-9.35)
= $ 84.15
Hence, the shirt's price after reduction = $ 84.15
find the midpoint rounded to the nearest hundreth a (-2,1) b (-1,1)
Answer:
[tex](-1.5, 1)[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Midpoint Formula: [tex](\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})[/tex]Step-by-step explanation:
Step 1: Define
Endpoint A (-2, 1)
Endpoint B (-1, 1)
Step 2: Find Midpoint
Simply plug in your coordinates into the midpoint formula to find midpoint
Substitute [MF]: [tex](\frac{-2-1}{2},\frac{1+1}{2})[/tex]Subtract/Add: [tex](\frac{-3}{2},\frac{2}{2})[/tex]Divide: [tex](-1.5, 1)[/tex]Order each set of integers froin least to greatest.
9. -7,-9, -19,-8
10. 1, -5, 6, 8, -2
11. 5,-31, -4, -10
12. -2, -22, 10, -7
some one help first answer gets brainliest
Answer:
Y=3 is a horizontal line. So, a line perpendicular to y=3 must be vertical. The only vertical line among the choices is x=-3, so C must be the answer.
Step-by-step explanation:
Which graphs form a function? (Choose all that apply)
Write an equation of the line that passes through (1.2) and is parallel to the line y = -5r + 4.
Which expression can be simplified to find the slope of the trend line in the scatter plot?
D is 8-2
78-87
(B) [tex]\frac{78-87}{8-2}[/tex]
The slope of the trend line:A linear relationship is depicted by a trend line. [tex]Y=mx+b[/tex], where [tex]x[/tex] is the independent variable, [tex]y[/tex] is the dependent variable, m is the slope of the line and [tex]b[/tex] is the y-intercept, is the equation for a linear relationship.Scatter plot -Data visualization that depicts the relationship between two numerical variables is known as a scatterplot. The values for the two variables are used to depict each member of the dataset as a point with [tex]x-y[/tex] coordinates that correspond to those values.Therefore, (B) [tex]\frac{78-87}{8-2}[/tex] can be simplified to find the slope of the trend line in the scatter plot.
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State if each triangle is a right triangle:
13 ft
5 ft
10 ft
Answer:
Step-by-step explanation:
the longest length is always the hypotenuse
Use Pythagorean theorem
a^2+b^2=c^2
5^2+10^2=c^2
c=11.18
Note: if c=13 than it is a right triangle
since 11.18 not=13
not right triangle
Answer:
It is not a right triangle
Step-by-step explanation:
a(squared) + b(squared) = c(sqaured)
a = 13, b = 5, c = 10
13 times 13 is 169
5 times 5 is 25
169 + 25 = 194
but that's not all.
10 times 10 is 100.
the problem is 169 + 25 is 194, not 100. for the triange to be a right triangle, all the numbers have to make sense. i don't know if this helps but again, it is not a right triangle.
Hi please help :D it says 'toO sHorT' so just ignore this next part jhdvwbfyugbwcqiugbn
In a lighting, green light glows after every 12 seconds, red light glows after every 30 seconds, blue light glows after every 34 seconds and yellow light glows after every 56 seconds. Find the least time in minutes after which they all glow together.
Answer:
238 minutes
Step-by-step explanation:
We are told:
In a lighting, green light glows after every 12 seconds, red light glows after every 30 seconds, blue light glows after every 34 seconds and yellow light glows after every 56 seconds.
We solve this question by using LCM Method
We find the Least Common Multiple of 12, 30, 36 and 56
= 14,280 seconds.
Hence, the least time in seconds after which they glow together is 14,280 seconds.
To find the least time in minutes after which they all glow together.
We convert from seconds to minutes
60 seconds = 1 minute
14280 seconds = x
Cross Multiply
60 × x = 14280 × 1
x = 14280/60
x = 238 minutes
The least time in minutes after which they all glow together.
238 minutes
Answer:
238 minutes
Step-by-step explanation:
LCM OF 12,30,34,56
= 14280
THEN, 14280 seconds convert to minutes
= 238 minutes
472 students are going on a field trip. 120 students will be returning home and the rest will be spending the night in cabins. If 8 people can sleep in one cabin, how many cabins need to be rented for the students?
470 kids went on the trip, and 120 students returned home, the total of kids staying is 350.
One cabin= 8 students
The equation i came up with is 350/8 = 43.75
They need 44 cabins to fit all the kids
How have date a f boy?And the experience you had learned from the relationship?
Step-by-step explanation:
seriously I haven't been in a relationship with any guy I hope I will find him soon
Actually I haven't dated anyone
I think 1 time I talked with one boy in online then we started to call then due to cast our relationship ended
eventually I did not broke up he stop talking with me then I asked he told due to cast I can't sit in a relationship with you
fromw that they onwards I have never tex guy in online
so hopee u like my story
One of my cats, Apollo, drives a cat car. He used 6/8 of a tank of gas to visit his friends for the weekend, and another 1 half of a tank to commute to work the next week. He then took another weekend trip and used a 1/4 tank of gas. How many tanks of gas did Apollo use altogether? Tanks of gas
Answer:
Total gas used = 3/2 of a tank of gas
Step-by-step explanation:
Visit to friend = 6/8 of a tank of gas
Commute to work = 1/2 of a tank of gas
Weekend trip = 1/4 of a tank of gas
Total gas used = Visit to friend + Commute to work + Weekend trip
= 6/8 + 1/2 + 1/4
= 6+4+2/8
= 12/8
= 3/2
Total gas used = 3/2 of a tank of gas
Evaluate 5x - 8.35y when x=12 and y=4
Answer:
26.6
Step-by-step explanation:
(12*5)-(8.35*4)
60-33.4
26.6
The length of a rectangle is 3 meters longer than its width. If
the area of the rectangle is 40 square meters, what are the
dimensions?
Answer:
Length=8 Width=5
Step-by-step explanation:
Set this up as a system of equations with l standing for length and w standing for width.
w+3=l
l×w=40
Substitute rhe first equation into the 2nd one.
w(w+3)=40 --------> w^2+3w=40
Move all the terms to the left side
w^2+3w-40=0
Factor
(w+8) (w-5)
Set both factors equal to 0.
w+8=0 -----> w=-8
w-5=0 ------> w=5
Since distance cannot be negative we can eliminate -8. So w=5
Plug it back into any one of the equations and solve for l.
5+3=l -----> 8=l
So the answer is the length is 8 and the width is 5.
The dimensions of the rectangle are:
Length = 8 meters.
width = 5meters.
We are given that the length of a rectangle is 3 meters longer than its width and the area of a rectangle is 40 square meters.
We need to find the length and width of the rectangle.
What is a rectangle?A rectangle is a closed 2-dimensional shape that has two dimensions, the length, and the width. Length is the longer side and width is the shorter side of the rectangle.
The area of a rectangle is given by :
A = Length x Width.
Let the area, length, and width of the rectangle be A, L, and W.
The length of a rectangle is 3 meters longer than its width.
We can write it as,
L = 3 + W
The area of a rectangle is 40 square meters.
We can write it as,
A = 40 square meters
We can write it as,
L x W = 40
Substituting L = 3 + W.
(3 + W) W = 40
[tex]3W + W^2 = 40\\W^2 + 3W = 40 \\W^2 + 3W - 40 = 0[/tex]
This is a quadratic equation and we will apply middle-term factorization.
[tex]W^2 + 3W - 40=0\\W^2 + (8-5)W - 40=0\\W^2 + 8W - 5W - 40=0\\W(W + 8) - 5 ( W + 8)=0\\(W+8)(W - 5)=0\\W+8 = 0~~and~~W-5=0\\W = -8~~and~~W=5[/tex]
The distance can not be negative so W = -8 is eliminated.
We have, W = 5
Substituting W = 5 in L = 3 + W.
We get,
L = 3 + 5 = 8
L = 8.
The dimensions of the given rectangle are:
Length = L = 8 meters.
Width = W = 5 meters.
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What’s the answer plzzz hurry
Answer:
dude i can't even see that sorry
Step-by-step explanation:
I like your cut G
Please help I don’t know how to do this
Answer:
∠A=∠W
∠Z=∠D
AB=WX
ZY=DC
AD=WZ
Step-by-step explanation:
When y varies directly with x,
slope = _______ = _______ = ________ = ________ = ________
Answer:
As you can see, these are all set up in slope intercept form (with a y-intercept of 0). These equations are called "direct variation" because y varies directly with x. If x increases, then y increases as well. If x decreases, then y decreases.
Step-by-step explanation:
As you can see, these are all set up in slope intercept form (with a y-intercept of 0). These equations are called "direct variation" because y varies directly with x. If x increases, then y increases as well. If x decreases, then y decreases.
consider these functions
9514 1404 393
Answer:
C. 3x² +24
Step-by-step explanation:
Use the given function definitions and simplify.
[tex]g(f(x))=g\left(\dfrac{1}{3}x^2+4\right)\\\\=9\left(\dfrac{1}{3}x^2+4\right)-12\\\\=3x^2+36-12\\\\\boxed{g(f(x))=3x^2+24}\qquad\textbf{matches C}[/tex]
Plz, answer the question in the photo below.
Answer:
B
Step-by-step explanation:
I hope this helps you out!
Answer:
yes it is b
Step-by-step explanation: