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ANEK [815]
3 years ago
6

What is the value of 4a3 – 2b2 + 5 when a = 3 and b = −2?   Which is equal to 33 • 35?   A. 3^−2   B. 3^2   C. 3^8   D. 3^15   

  (I think its C( above number 2) ( The first picture wants to know what the blank is: 11^what) Which is equal to (second pic)  ?   A. 10−36   B. 10−4   C. 109   D. 1015

Mathematics
1 answer:
xz_007 [3.2K]3 years ago
3 0
1)4a^3-2b^2+5= 4* 3^3 - 2*(-2)^2+5= \\ \\ =4*27-2*4+5= \\ \\ =108-8+5= \\ \\ =100+5 \\ \\ =\boxed{105}

2) 33*35=1155

A= 3⁻²= 1/3²= 1/9

B=3²=9

C=3⁸= 6561

D=3¹⁵=  14.348.907

3)11^{24} \\ \\ 4) \frac{10^{12}}{10^{-3}}=10^{12}* 10^{3}=10^{15}
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The diagram shows the entrance to a tunnel.
gladu [14]

Step-by-step explanation:

it filled up half the circle (up to the center point) - if we had a full circle. but a little bit is cut off (below AB).

what we see is that the shaded area is the sum of the area of the triangle AOB and 2 equally sized circle segment areas left and right of AOB.

since we are dealing with a half-circle, we have 180° in total. 120° are taken by AOB, so, that leaves us with 180-120 = 60° for both circle segments (so, one has an angle of 30°).

and 2×30° = 1×60°, so we can calculate the area of one 60° segment instead of two 30° segments.

AOB is an isoceles triangle (the legs are equally long, and therefore also the 2 side angles are equal).

the area of this triangle AOB is

1/2 × a × b × sin(C) = 1/2 × 3 × 3 × sin(120) =

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a circle segment area of 60° is 60/360 = 1/6 of the full circle area (as a full circle = 360°).

so, it's area is

pi×r² × 1/6 = pi×3²/6 = pi×3/2 = 4.71238898... m²

so, the total area of the shaded area is

3.897114317... m² + 4.71238898... m² =

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5 0
2 years ago
On a coordinate plane, an exponential function approaches y = 0 in quadrant 2 and increases into quadrant 1. It crosses the y-ax
KIM [24]

Answer:

3

Step-by-step explanation:

f(x)=a*b^x - is a formula of exponential function

As we know the point (x=0; y=3) lies at the function's  graph.

So we have to put in formula f(x)=a*b^x   x=0  f(x)=y=3

3=a*b^0   (b^0=1) => 3=a*1 => 3=a  

6 0
3 years ago
Read 2 more answers
Can someone please please please help.?
Luden [163]

Answer:

<h2>43°</h2>

Step-by-step explanation:

In a cyclic quadrilateral, the sum of two opposite angles are equal.

m<R + m<P = 180°

plugging the values:

3y + 8 + y = 180°

Combine the like terms:

4y + 8 = 180°

Subtract 8 on both sides

4y + 8 - 8 = 180 - 8

Calculate the difference

4y = 172

divide both sides of the equation by 4

4y/4 = 172/4

calculate

y = 43°

Hope this helps...

5 0
3 years ago
Read 2 more answers
The lengths of the sides of a right triangle are a and b, and the hypotenuse is
mamaluj [8]
A^2+b^2=c^2
(2sqrt3)^2+b^2=16
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solve for b
b=2
Now triangle area is A=1/2 bh
so
A=(1/2)(2)(2sqrt3)
A=2sqrt3
5 0
3 years ago
Read 2 more answers
Please help 22 points
disa [49]

Answer:

8/15

Step-by-step explanation:

4/5 x 2/3 = 8/15

or

4/5 x 2/3 = 0.5333

hope this helps ^w^

3 0
2 years ago
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