Answer:
[tex]k=14[/tex]
Step-by-step explanation:
Completing the square gives
[tex]x^4 + kx^2 + 49\\= (x^2+7)^2 - 14x^2 + kx^2[/tex]
So we have to cancel the latter two terms out for the expression to always become a square (otherwise we are dealing with a square plus something else, which doesn't always result in a square), giving us our answer directly.
Answer:
k=± 14
Step-by-step explanation:
[tex]x^4+kx^2+49\\Disc.=b^2-4ac=k^2-4*1*49\\it ~ is ~a ~ perfect ~ square.\\k^2-196=0\\k^2=196\\k= \pm 14[/tex]
what is the third quartile of the following data set 18 20 21 23 24 26 29 30 35 39 40
a. 30
b. 26
c, 35
d. 29
Answer:
c. 35
Step-by-step explanation:
... ......................
Answer:
35
Step-by-step explanation:
Just did test
in a sequence 25,22,19,16 what's the formula for the nth term
Answer:
x minus 3
is the formula to this question
Answer:
Step-by-step explanation:
Nth term of the given A.P is
here a=25 and d=-3
so Tn=a+(n-1) d
=25+(n-1)-3
=25-3n+3
=28-3n
THIS IS THE Nth TERM
turn 12,14 into a decimal pls thanks ASAP
Answer:
0.857142857
Step-by-step explanation:
Answer: 0.85714285714286
Step-by-step explanation:
how do I solve y=9(1+0.03) to the 4th power
Answer:
7384.46330241 or 7384.5
Step-by-step explanation:
first to find the Y you had to use distributive property
1. 9(1+0.03) = 9+0.27
2. 9+0.27= 9.27
3. 9.27 to the 4th power will be 7384.46330241 or 7384.5
Answer:
10.13
Step-by-step explanation:
Remark
The correct way to do this is to add what is inside the brackets (the terms are alike so you can do that) and raise the result to the forth power. Then you multiply by 9.
Solution
1 + 0.03 = 1.03
1.03 ^4 = 1.1255
1.1255 * 9 = 10.13
PLEASE HELP ME QUICK I WILL CROWN BRAINLIEST
Answer:400
x-85=315
Step-by-step explanation:
x-85=315 so then you add 85 to both sides and get x=400
If 2d + 10 = 50, what does d equal?
Answer:
d = 20
Step-by-step explanation:
2d + 10 = 50 ( subtract 10 from both sides )
2d = 40 ( divide both sides by 2 )
d = 20
Answer:d=20
Step-by-step explanation:
Step 1: Subtract 10 from both sides.
2d+10−10=50−10
2d=40
Step 2: Divide both sides by 2.
2/d=40/2
d=20
I need help! It's due in one hour.
Given: R(-2, 0), S(-3, 1), T(0, 1), U(-5, 3) and V(4, 3).
Prove: ΔRST ~ ΔRUV
This is a simple transformation, DILATION.
Upon graphing this out, or finding the side lengths of the triangle, you will find that side length RU is triple of that of RS. This is the same for RV and RT. Dilation transformations don't change angles, only side lengths, and for the whole triangle, which means that this transformation will still equate the triangles to each other.
Brianna is going to invest in an account paying an interest rate of 5.2% compounded daily. How much would Brianna need to invest, to the nearest ten dollars, for the value of the account to reach $6,600 in 11 years?
Answer:
3398.1761
Step-by-step explanation:
Using compound interest relation:
A = P(1 + r/n)^nt
5.2 / 100 = 0.052
n = 365 * 12 = 4380
6000 = P(1 + 0.052/4380)^4380*11
6000 = P(1.0000118)^48180
6000 = 1.7656530P
P = 6000/ 1.7656530
P = 3398.1761
Answer:
98086
Step-by-step explanation:
Can someone help please
Answer:
YES
Step-by-step explanation:
What is the slope of the function?
Answer:
-4
Step-by-step explanation:
as x goes up one y goes down 4
slope is change in y over change in x
-4/1=-4
The slope of the linear function represented by the table is -6.
To find the slope of the linear function represented by the table, we can use the formula for slope:
Slope (m) = (change in y) / (change in x)
Let's calculate the slope using two points from the table. We'll choose the points (-1, 2) and (2, -16):
(change in y) = -16 - 2 = -18
(change in x) = 2 - (-1) = 3
Slope (m) = (-18) / (3) = -6
Therefore, the slope of the linear function represented by the table is -6.
To know more about linear function:
https://brainly.com/question/29205018
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Malik starts a job at which his starting salary is
$25,500 per year. He expects that his salary will
increase by a constant dollar amount annually. In
12 years, his salary will be double his starting salary.
Assuming salary increases take place only at the
end of a full year, how many years must Malik wait
until his salary is at least $40,000 annually?
9514 1404 393
Answer:
7 years
Step-by-step explanation:
Malik's salary grows 25,500 in 12 years, so at the rate of ...
$25,500/(12 yr) = $2125/yr
To get his salary up to 40,000, it must grow by ...
40,000 -25,500 = 14,500
To grow that much will take ...
$14,500/($2125/yr) ≈ 6.82 yr
Malik must wait 7 years until his salary is at least $40,000.
_____
At the end of the 7th year, Malik's salary will be raised to ...
$25,500 + 7·2,125 = $40,375
(05.01)
Which equation can be used to calculate the area of the shaded triangle below? (5 points)
(Answers in photo)
Answer:
answer of the above given question is (c) 1/2(10*6)=30,as we know the area of the triangle is 1/2*base*height.So,we can directly find the area of the triangle.
Which line represents the direct variation equation y= 1/2x?
line a
line d
line c
line b
Answer:
Answer Expert Verified y = (slope) x + (y-intercept) . Right away, you know that this line goes through the origin ...
Help me with this thxx
Answer:
7
Step-by-step explanation:
those
1. Caroline ran 15 miles in 5 days. She ran the same distance each day. Write and solve an equation to determine the number of miles she ran each day. (Explore Activity) a. Let x represent the Number of Number of Draw algebra tiles to model the equation. Caroline ran miles each day.
Answer:
3 miles per day
Step-by-step explanation:
15=5X
15÷5=3
The solution to -2(1 - 4x) = 3x + 8 is
(1)
-
11
10
(3)
7
(4) - 2
(2) 2.
Please pleaseeee help!
Im so lost this is the last question i have and I’ve been working on it forever. Even asked my mom and she had no idea! Helpp please!!
Answer:
Remember that the roots are the values of the variable when the expression equals 0.
a: 4 + 3 = 7 and 4*3 = 12 so we have (x + 3)(x + 4) with roots -3, -4
b: -4 + -2 = -6 and -4*-2=8 so we have (t-2)(t-4) with roots 2, 4
c: 2*-4 + 6 = -2 and -4*6=24 so we have (2n+6)(n-4) with roots -3, 4
d: -7+-4 = -11 and -7*-4=28 so we have (y-4)(y-7) with roots 4, 7
Can someone explain how to do this worksheet? when graphing the lines they don't seem to intersect with a UFO.
Answer:
There are 2 equations together in each box, so what you need to do is graph them both. Then see where they intersect, that will be where the ufo they shot is. For example On the first two set of equations (y=x+6 & y=-x-4) when graphed together they intersect at (-5,1) which is where ufo 6 is. Meaning they shot Ufo 6
(-2x²- 4x + 2) - (-6x + 2)
Answer:
(-2x²- 4x + 2) - (-6x + 2) = -2x²+ 2x
Step-by-step explanation:
(-2x²- 4x + 2) - (-6x + 2)=
= -2x²- 4x + 2 + 6x - 2 =
= -2x²+ 2x
0.5(24x - 10) what is the expression
Answer:
12x-5
Step-by-step explanation:
Find the total amount due on a simple-interest loan if the principal is $5,000 with a rate of 4% for 12 years
Answer:
$7400
Step-by-step explanation:
First, converting R percent to r a decimal
r = R/100 = 4%/100 = 0.04 per year,
then, solving our equation
I = 5000 × 0.04 × 12 = 2400
I = $ 2,400.00
The simple interest accumulated
on a principal of $ 5,000.00
at a rate of 4% per year
for 12 years is $ 2,400.00.
The total amount due on a simple-interest loan if the principal is $5,000 with a rate of 4% for 12 years is $2400 and this can be determined by using the simple interest formula.
Given :
The total amount due on a simple-interest loan if the principal is $5,000 with a rate of 4% for 12 years.
The total amount due on a simple interest loan can be determined by using the simple interest formula which is given by the equation:
[tex]\rm I = PRT[/tex]
Given that time, T = 12 years
Rate, R = 4% = 0.04
Principal amount, P = $5000
Now, put the value of P, R, and T in the equation (1).
[tex]\rm I = 5000\times 0.04 \times 12[/tex]
I = $2400
The total amount due on a simple-interest loan if the principal is $5,000 with a rate of 4% for 12 years is $2400.
For more information, refer to the link given below:
https://brainly.com/question/13381098
The answer it’s from acellus
Answer and Step-by-step explanation:
4 goes into 17 four times.
4x4= 16
giving you
16 R1
Answer:
quotient-----4
Remainder---1
Step-by-step explanation:
This is basic division am I right?
Opposite of division is Multiplication
Multiplication is repeated addition
4+4+4+4=16
16+4=20 but that is greater than 17.
so quotient is 4 and remainder is 1
Find the determinant of the matrix. Expand by cofactors on the row or column that appears to make the computations easiest.
Answer:
-44
Step-by-step explanation:
[tex]A=-2*11*2=-44[/tex]
An artist frames his rectangular artwork. The length of his art is 3 times the width, w. How can he represent the perimeter of the art? Match each reason on the left to the expression it describes.
Answer:
Perimeter = 8w
Step-by-step explanation:
Let the width of the rectangular framework be w.
Length = 3w
We know that the perimeter of a rectangular shaped object is given by :
P = 2(l+w)
Substitute all the values in the above formula,
Perimeter = 2(3w+w)
= 2(4w)
= 8w
So, the perimeter of the art be 8w.
I need help quick please
Answer:
(-6,3) (0,-1) (-1,-3)
11) What is the measure of an exterior angle of a regular 12-gon? (Hint: plug 1 point
in the number of sides into the following formula to find the measure of an
exterior angle of a regular polygon) *
360
n
A) 150°
B) 30°
C) 1800
bolat many
1 noint
Answer:
30
Step-by-step explanation:
According to the formula: 360/n
Here in 12-gon, n is 12
so,
=360/12
=30 degrees
Hope this helps
Round 275,198 to the nearest hundred thousand.
Answer:
300,000
Step-by-step explanation:
You and your friend are saving money to buy bicycles that cost $175 each. You have $45 to start and save an additional $5 each week. The graph shows the amount y (in dollars) that your friend has after x weeks. Who can buy a bicycle first?
(NEED A JUSTIFIED ANSWER)
Step-by-step explanation:
we need the graph to answer!!
2/4 times 1/4 = m
IN SIMPLEST FORM
Answer:
Step-by-step explanation:
2/4 × 1/4 = (2×1)/(4×4) = 2/16 = 1/8
Answer:
1/8
Step-by-step explanation:
2/4 times 1/4 is 0.125, which as a fraction is 1/8
17. If a triangle has sides of 21 and 36, what is the range for the shortest side?