Answer:
D. Jenae keeps the same amount of sugar and artificial sweetener at each location.
Step-by-step explanation:
Experimental studies are those studies that are based upon the experiments in this the group could be controlled and testable also so according to the given situation, the option D is correct as Jenae have the similar maount of sugar and sweetener at each and every location
Therefore the last option is correct
Answer:
Jenae keeps the same amount of sugar and artificial sweetener at each location.
Step-by-step explanation:
what is the H.C.F of 2³×3²
Determine the volume and the total surface area of the square pyramid.if its perpendicular height is 12cm and square length is 5cm
Answer:
Volume = 100 cm³
Surface area of the square pyramid = 145 cm²
Step-by-step explanation:
Given:
Perpendicular height = 12cm
Square length = 5cm
Find:
Volume
Surface area of the square pyramid
Computation:
Area of base = side²
Area of base = 5²
Area of base = 25 cm²
Volume = (1/3)(A)(h)
Volume = (1/3)(25)(12)
Volume = 100 cm³
Surface area of the square pyramid = A + 1/2(P)(h)
Perimeter square pyramid = 4(s)
Perimeter square pyramid = 4(5)
Perimeter square pyramid = 20 cm
Surface area of the square pyramid = 25 + 1/2(20)(12)
Surface area of the square pyramid = 145 cm²
y - X=-5
y = 2x2-3x-5
PLEASE HELP
(use substitution)
Answer:
x=1 y=-4
Step-by-step explanation:
The 1st flat-bar, or cross, or other operator means:
-9-(-7)
-9-(-7)
-9--7
-9+7
7-9
-2
---
hope it helps
Solve a0 = 0, a1 = 1 and an = an−1 + an−2 + 2n , for n ≥ 2. Hints: This one involves a lot more algebra than the problems above. Solving the homogeneous problem will involve using the quadratic formula. The characteristic roots turn out to be 1 ± √ 5 2 (but show the work!). For a particular solution, try an = A2 n . You should find A = 4 (but show the work!). Put those two pieces together to write down the general solution an = A( (1 + √ 5 )/2 )^n + B( (1 − √ 5)/ 2 )^n + 4(2^n ) and the determine the values for A and B by using the two initial conditions, a0 = 0 and a1 = 1. The necessary arithmetic will be somewhat complicated, but not impossible.
Answer:
Hi yes ik I'm not that good at math but wouldn't it be
a n=1∗1 n =1
Help me with this
Please
Answer:
146.96 [tex]m^2[/tex]
Step-by-step explanation:
1. Approach
Divide this figure into two smaller shapes. Calculate the area of these smaller shapes, and then add the results. One can divide this shape into a semi-circle, and a triangle.
2. Area of the triangle
The formula to find the area of a triangle is;
[tex]\frac{base*height}{2}[/tex]
It is given that the base of the triangle is (14m) and the height is (10m). Substitute in these values, and solve for the area,
[tex]\frac{14*10}{2}\\= \frac{140}{2}\\= 70[/tex]
2. Area of the semi-circle
The area of the semi-circle can be found by finding the area of the larger circle, and then divide it by 2, since a semi-circle is half of a circle. The formula for the area of a semi-circle is;
[tex]\frac{(pi)(r^2)}{2}[/tex]
Where (pi) is the constant (3.1415...), (r) represents the radius of the circle, which by definition is half of the diameter. Substitute in the values and solve;
[tex]\frac{(pi)(7)^2}{2}\\= \frac{3.14*49}{2}\\=76.96[/tex]
3. Find the total area;
Now add up the two values for the area of the figures;
Triangle + Semi-circle
= 70 + 76.96
= 146.96
Answer: about 147 m²
Step-by-step explanation:
Cos Milky said it. Trust Milky. Milky Smart.
You inherit $25,000 and deposit it into an account that earns 4.5% compounded continuously. How much money would be in the account after 10 years?
Answer:
sf
Step-by-step explanation:
In the figure below, solve for the value of a. a = ______ in. (round to the nearest tenth and do NOT include units in your answer)
Answer:
6.9
Step-by-step explanation:
sinX=opposite/hypotenuse
sin35=a/12
a=12*0.57357643635
a=6.88291723621≈6.9
HELPPPPPPP plsss i rlly need help
Answer:
6. unbiased because there is no opinion involed
7. biased because favortie is an opinionated word
8. representative because she is not interviewing everyone but only a small number of people to come up with representative data for the whole workplace
Help me please.......
Ok I dont know how to do this im so sorry
Factorise the following expressions.
Answer:
Q.1 a²+10a+24
splitting the middle.
a²+6a+4a+24
=a(a+6)+4(a+6)
(a+6)(a+4)
Q.2 x²+9x+18
splitting the middle
x²+6x+3x+18
x(x+6)+3(x+6)
(x+6)(x+3)
In a newspaper, it was reported that yearly robberies in Springfield were up 40% to 154 in 2012 from 2011. How many robberies were there in Springfield in 2011?
Answer:
110
Step-by-step explanation:
The inverse of 7/5 is 5/7
5/7 times 154 equals 110
A piece of rope 6.54 metres long is cut
into two pieces. One piece is twice as
long as the other. What is the length of
the longest piece?
Find the measure of 67.
81
96
90
47 = [?]
Entor
Answer
Correct option is
A
68
Answer:
96 is the answer because vertically opposite angles are always equal
the sum of the three sisters' ages is 51. If ava is 6 years older than
Camila, and Camila is twice as old as Luna, what are the ages of the
three sisters?
Create an equation with only one variable.
9514 1404 393
Answer:
Luna is 9Camila is 18Ava is 24Step-by-step explanation:
We can express all of the ages in terms of Luna's age. Letting L represent Luna's age, we have ...
Luna's age: LCamila's age: 2LAva's age: 2L +6The total of their ages is then ...
L +2L +(2L+6) = 51 . . . . an equation with one variable
5L = 45
L = 9
Luna is 9, Camila is 18, and Ava is 24.
The cashier determines that the customer's groceries total $156.75. If the sales tax is four percent, how much will the customer have to pay for their groceries, including tax?
which statement regarding the number of solutions for the linear equation shown below is true?
1/4x - 13 = 1/4(x + 13)
Answer: There is no solution.
Answer:
There is no solution
Step-by-step explanation:
Can someone show me how to do this? I’m not sure how to do this
Directions: The points in the table lie on a line. Find the slope of the line. Then draw its graph.
Answer: Slope means the gradient. So find the equation of the line first then graph the points on the graph.
Step-by-step explanation:
y=mx+c *We want m*
m=(y2-y1)/(x2-x1)
m=(0-1)/(6-3)
m=-1/3
y=-1/3x+2 *(0,2) co-ordinate means it's the y-intercept=c*
I think the slope is -1/3 and then just plt the points on the graph manually.
Pls answer correctly I’ll give you brainliest
Answer:
1=2(4)+b
Step-by-step explanation:
slope intercept looks like this y=mx(or y=#x+#
if the slope is 2 the equation will be y=2x+b
to find b so x=4 and y=1 we can plug those numbers into the equation to find b
giving brainliest !! *easy*
Answer:
To convert an angle measure to radians, multiply it by pi/180.
Step-by-step explanation:
310 * pi/180 = 31pi/18 = 5.41 rad
The price of an item yesterday was $130. Today, the price fell to $39. Find the percentage decrease.
Answer:
30% decrease
Step-by-step explanation:
We have to divide 39 by 130 and then find the percentage of it. 39/130 is equal to 3/10, and 3/10 is equal to 30%. That means that it was a 30% decrease.
Answer:
35%
Step-by-step explanation:
Solve for the length of a leg
I will give brainless
The numbers are
A-24
C- 25
Answer:
7
Step-by-step explanation:
To solve for B, you have to use the Pythagorean Theorem and work it to solve for B. If b^2+24^2 is equal to 25^2, you can take those numbers (for 24^2, it's 576, and 25^2 is 625) and subtract them for the squared number that B will be equal to, 49. You then take the square root of 49 and that answer will be your side B, 7.
A family wants to rent a car to go on vacation. Company A charges $ and . Company B charges $ and . How much more does charge for x miles than ?
Answer:
Not enough information to give answer
Answer:
yeah not enough info to answer
If Sam's present age is x years, what will be his age in years after 20 years from now?
31 x + 20
x - 20
20x
x/20
QUICK does anyone know this? if so please answer i need to turn this in asap!
Answer:
10, 8, -5. Pls tell me if wrong i will retry. Im doing this mentally to be fast.
Step-by-step explanation:
A. 12 - |1 + -3 | = 12 - 2 = 10
B. 6 - -2 = 8
C. 18 -3/-3 = 15/-3 = -5
Answer:
14,8,-5
Step-by-step explanation:
1. 12-{1+(-3)}
12-{1(-3)} 1-3=-2
12-(-2) -×-=+
12+2
14
2. 6-{1+(-3)}
6-(1-3)
6-(-2)
6+2
8
3. 3×6+(-3)
________
-3
18-3
______
-3
15
_____
-3
=-5
Marking brainliest!!
What should I put for the second question? I am confused. HELPP
Give me the correct answer
Answer:
[tex]71a(5a^{6} - 2b^{2} )[/tex]
Step-by-step explanation:
355 a3 a4 - 142 ab2
71a( 5a^6-2b^2)
I hope im right !!
GIVING 25 PTS URGENT
Answer:
D) 76 sq in
Step-by-step explanation:
It’s 4 triangles. A=1/2bh
1/2(8)(5)=20 (two of these)
1/2(8)(6)=24
1/2(4)(6)=12
20+20+24+12=76
What is the area of the shaded region?
Answer:
12 cm^2
Step-by-step explanation:
Recall that the Fibonacci Sequence is defined by the recurrence relation, a0 = a1 = 1 and for n ≥ 2, an = an−1 + an−2 . a. Show that f(x) = 1 1−x−x 2 is the generating function of the Fibonacci Sequence. b. Find ???? and β such that 1 − x − x 2 = (1 − ????x)(1 − βx). c. Find A and B in terms of ???? and β, such that 1 1−x−x 2 = A 1−????x + B 1−βx. d. Use the results of the previous parts to obtain a formula for an.
Answer:
Step-by-step explanation:
From the given information:
[tex]a_n = a_{n-1} + a_{n-2}; \ \ \ n \ge 2 \\ \\ a_o = 1 \\ \\ a_1 =1 \ \ \ \ \ since \ \ a_o = a_1 = 1[/tex]
A)
[tex]a_n - a_{n-1} - a_{n-2} = 0 \\ \\ \implies \sum \limits ^{\infty}_{n=2}(a_n -a_{n-1}-a_{n-2} ) x^n = 0 \\ \\ \implies \sum \limits ^{\infty}_{n=2} a_nx^n - \sum \limits ^{\infty}_{n=2} a_{n-1}x^n - \sum \limits ^{\infty}_{n=2}a_{n-2} x^n = 0 \\ \\ \implies (a(x) -a_o-a_1x) - (x(a(x) -a_o)) -x^2a(x) = 0 \\ \\ \implies a(x) (1 -x-x^2) -a_o-a_1x+a_ox = 0 \\ \\ \implies a(x)(1-x-x^2)-1-x+x=0 \\ \\ \implies a(x) (1-x-x^2) = 1[/tex]
[tex]\mathbf{Generating \ Function: a(x) = \dfrac{1}{1-x-x^2}=f(x)}[/tex]
B)
[tex]If \ \ 1 -x-x^2 = (1 - \alpha x) ( 1- \beta x) \\ \\ \implies 1 -x - ^2 = 1 + \alpha \beta x^2 - ( \alpha + \beta )x \\ \\ \text{It implies that:} \\ \\ \alpha \beta = -1 \\ \\ \alpha + \beta = 1 \\ \\ \implies \alpha = ( 1-\beta) \\ \\ ( 1- \beta) \beta = -1 \\ \\ \implies \beta - \beta^2 = -1 \implies \beta - \beta^2 -1 = 0\\ \\ \beta = \dfrac{-(-1) \pm \sqrt{(-1)^2 -4(1)(-1)}}{2(1)}[/tex]
[tex]\beta = \dfrac{1\pm \sqrt{5}}{2} \\ \\ \beta = \dfrac{1 + \sqrt{5}}{2} \ \ and \ \ \alpha = \dfrac{1 - \sqrt{5}}{2}[/tex]
C)
[tex]\dfrac{1}{1-x-x^2}= \dfrac{A}{1-\alpha x}+ \dfrac{\beta}{1-\beta x} \\ \\ = \dfrac{A(1-\beta x) + B(1-\alpha x)}{(1-\alpha x) (1 - \beta x)} \\ \\ = \dfrac{(A+B)-(A\beta+B\alpha)x}{(1-\alpha x) (1-\beta x)}[/tex]
[tex]\text{It means:} \\ \\ A+B=1 \\ \\ B = (1-A) \\ \\ A\beta+ B \alpha =0 \\ \\ A\beta ( 1 -A) \alpha = 0 \\ \\ A( \beta - \alpha ) = -\alpha \\ \\ A = \dfrac{\alpha}{\alpha - \beta } \\ \\ \\ \\ B = 1 - \dfrac{\alpha }{\alpha - \beta} \implies \dfrac{\alpha - \beta - \alpha }{\alpha - \beta } \\ \\ =\dfrac{-\beta }{\alpha - \beta} \\ \\ \mathbf{B = \dfrac{\beta }{\beta - \alpha }}[/tex]
D)
[tex]\text{The formula for} a_n: \\ \\ a(x) = \dfrac{\alpha }{\alpha - \beta }\sum \limits ^{\infty}_{n=0} \alpha ^n x^n - \dfrac{\beta}{\beta - \alpha }\sum \limits ^{\infty}_{n=0} \beta x^n \\ \\ \implies \sum \limits ^{\infty}_{n =0} \dfrac{\alpha ^{n+1}- \beta ^{n+1}}{\alpha - \beta}x^n \\ \\ a_n = \dfrac{\alpha ^{n+1}- \beta ^{n+1}}{\alpha - \beta } \\ \\ \\ a_n = \dfrac{1}{\sqrt{5}} \Big (\Big( \dfrac{\sqrt{5}+1}{2}\Big)^{n+1}- \Big ( \dfrac{1-\sqrt{5}}{2}\Big) ^{n+1}\Big)[/tex]