Which of the following is equivalent to the expression (3ab)(-5ab)?

Triangle ABC is translated by the rule (x + 1, y + 1) and then dilated by a scale factor of 2 centered at the origin. Which stat

Andrew [12]

Answer:

A

Step-by-step explanation:

A. angle measure is preserved after translation and dilation

7 0

3 years ago

Find the Area & Circumference of a circular pizza with a diameter of 22.0cm.

nirvana33 [79]

Answer:

Circumference = 69.14cm
Area = 380.29cm²

Step-by-step explanation:

Circumference.

Circumference of a circle is calculated by the formula:

= Pie * diameter

= π * diameter

= 22/7 * 22

= 69.14 cm

Area

Area of circle:

= Pie * radius ²

Radius = diameter/2

= 22/2

= 11 cm

Area = 22/7 * 11²

= 22/7 * 121

= 380.29 cm²

6 0

3 years ago

What is the ratio of people who prefer oranges to bananas?

Vikki [24]

I saw the pie chart that should have accompanied this word problem.

Favorite fruit:
Grapes = 150
Apple = 220
Orange = 185
Banana = 235

Choices:
A) 37/47
B) 185/790
C) 790/275
D) 235/185

Oranges = 185 ; Bananas = 235

Ratio of oranges to Bananas = 185/235
Simplify 185/235
185 ÷ 5 = 37
235 ÷ 5 = 47

Ratio of oranges to Bananas = 37/47 Choice A.

5 0

3 years ago

Determine which values of p the following integrals converge. Give your answer in each case by selecting the appropriate inequal

sashaice [31]

Answer:

Step-by-step explanation:

a)

$\int\limits^2_1 {\frac{1}{x(lnx)^p} } \, dx$

this can be done by substitute lnx = u

dx/x = du

When x =1, u =0 and when x =2, u = ln 2

So integral = $\int\limits^{ln2} _0 {du/u^p} \\\=\frac{u^{-p+1} }{-p+1}$

We find that this integral value is not definid for p =1

Hence for values of p other than 1, this converges.

When we substitute limits

$\frac{1}{1-p} ((ln2)^{1-p} -1)$

and converges for p ≠1

b) $\int\limits^1_0 {lnx}/x^p \, dx \\\int \frac{\ln \left(x\right)}{x^p}dx=\frac{1}{-p+1}x^{-p+1}\ln \left(x\right)-\frac{x^{-p+1}}{\left(-p+1\right)^2}+C$

So not converging for p =1

But ln x is defined only for x >0

So integral 0 to 1 makes this integral not valid and hence not convergent.

7 0

4 years ago

I forgot how to do this

Mamont248 [21]

To find the area of the rectangle, do A=lw which is 4x13=52. to find the area of the triangle, first find the height. this is 13-6=7. now do A=bh/2 which is (5x7)/2=17.5. 17.5+52=69.5 which is your answer. DONT OPEN ANY LINKS ON HERE, ITS A VIRUS

7 0

3 years ago

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