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3 years ago

Using this figure A’ is the______Of A.

Mathematics

1 answer:

givi [52]3 years ago

8 0

Answer:

Reflection

Step-by-step explanation:

Figure A' is the reflection of A as it is reflected from A'

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Lena will use 7 cups of apples to make 4 batches of applesauc. Which expression shows the number of cups of apples in each batch

astraxan [27]

Answer: 1 3/4 cups of apples in each batch

Step-by-step explanation:

STEP 1

Writing out the equation to represent if 7 cups of apples make 4 batches One batch is as a result of how many cups of apples

LET x be number of cups of apples to make each batch

7 cups of apples = 4 Batches

x cups of apples = 1 Batch

STEP 2 Solving by cross multiplication

1 batch x 7 cups of apples = 4 batches X x cups of apples

x cups of apples=1 batch x 7 cups of apples / 4batches

x = 7 / 4 = 1 3/4

number of cups of apples to make each batch= 1 3/4

8 0

3 years ago

Which definite integral approximation formula is this: the integral from a to b of f(x)dx ≈ (b-a)/n * [<img src="https://tex.z-d

Stella [2.4K]

The answer is most likely A.

The integration interval [a, b] is split up into n subintervals of equal length (so each subinterval has width (b - a)/n, same as the coefficient of the sum of y terms) and approximated by the area of n rectangles with base (b - a)/n and height y.

n subintervals require n + 1 points, with

x₀ = a

x₁ = a + (b - a)/n

x₂ = a + 2(b - a)/n

and so on up to the last point x = b. The right endpoints are x₁, x₂, … etc. and the height of each rectangle are the corresponding y 's at these endpoints. Then you get the formula as given in the photo.

• "Average rate of change" isn't really relevant here. The AROC of a function G(x) continuous* over an interval [a, b] is equal to the slope of the secant line through x = a and x = b, i.e. the value of the difference quotient

(G(b) - G(a) ) / (b - a)

If G(x) happens to be the antiderivative of a function g(x), then this is the same as the average value of g(x) on the same interval,

$g_{\rm ave}=\dfrac{G(b)-G(a)}{b-a}=\dfrac1{b-a}\displaystyle\int_a^b g(x)\,\mathrm dx$

(* I'm actually not totally sure that continuity is necessary for the AROC to exist; I've asked this question before without getting a particularly satisfying answer.)

• "Trapezoidal rule" doesn't apply here. Split up [a, b] into n subintervals of equal width (b - a)/n. Over the first subinterval, the area of a trapezoid with "bases" y₀ and y₁ and "height" (b - a)/n is

(y₀ + y₁) (b - a)/n

but y₀ is clearly missing in the sum, and also the next term in the sum would be

(y₁ + y₂) (b - a)/n

the sum of these two areas would reduce to

(b - a)/n = (y₀ + 2 y₁ + y₂)

which would mean all the terms in-between would need to be doubled as well to get

$\displaystyle\int_a^b f(x)\,\mathrm dx\approx\frac{b-a}n\left(y_0+2y_1+2y_2+\cdots+2y_{n-1}+y_n\right)$

7 0

3 years ago

How many solutions does 2(x-3)=10x-6-8x

Step2247 [10]

Answer: Infinitely many

Step-by-step explanation: 2(x-3)=10x-6-8x

2x-6=10x-6-8x

2x-6=2x-6

4 0

3 years ago

48:PLEASE HELP Find the x-intercept of -x+2y=22

ella [17]

Answer:

-22

Step-by-step explanation:

set y equal to zero and solve like a regular singular variable equation

3 0

3 years ago

the lowest point in the Pacific Ocean is about - 11,000 meters. The lowest point in the Atlantic Ocean is about - 8,000 meters.

Ugo [173]

The Pacific Ocean has the lowest point, by 3000 meters

3 0

3 years ago