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Sidana [21]
3 years ago
8

. 5.8x10 to the power of 7​

Mathematics
1 answer:
Delvig [45]3 years ago
4 0

PEMDAS means we do exponents before we multiply.

10 ^ 7 = 10,000,000

(10 * 10 * 10 * 10 * 10 * 10 * 10)

5.8 * 10,000,000

= 58,000,000

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A bird flies up and then down again, approximately following the
BaLLatris [955]

Answer:

  • 112.5 ft

Step-by-step explanation:

The maximum is achieved at vertex of parabola.

The x- coordinate of the vertex is determined by x = - b/(2a).

  • x = - 15/(-0.5*2) = 15

The maximum height is the corresponding y- coordinate

  • y = - 0.5(15²) + 15(15) = 112.5 ft
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2 years ago
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So for 1 hour you pay 10 dolars then for 3 you pay 30 then for 11 you pay 110 then for 20 you pay 200.

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4 0
3 years ago
Help me asap! I will give you marks
Law Incorporation [45]

Recall the binomial theorem.

(a+b)^n = \displaystyle \sum_{k=0}^n \binom nk a^{n-k} b^k

1. The binomial expansion of \left(1+\frac x3\right)^7 is

\left(1 + \dfrac x3\right)^7 = \displaystyle\sum_{k=0}^7 \binom 7k 1^{7-k} \left(\frac x3\right)^k = \sum_{k=0}^7 \binom 7k \frac{x^k}{3^k}

Observe that

k = 1 \implies \dbinom 71 \left(\dfrac x3\right)^1 = \dfrac73 x

k = 2 \implies \dbinom 72 \left(\dfrac x3\right)^2 = \dfrac73 x^2

When we multiply these by 8-9x,

• 8 and \frac73 x^2 combine to make \frac{56}3 x^2

• -9x and \frac73 x combine to make -\frac{63}3 x^2 = -21x^2

and the sum of these terms is

\dfrac{56}3 x^2 - 21x^2 = \boxed{-\dfrac73 x^2}

2. The binomial expansion is

\left(2a - \dfrac b2\right)^8 = \displaystyle \sum_{k=0}^8 \binom 8k (2a)^{8-k} \left(-\frac b2\right)^k = \sum_{k=0}^8 \binom 8k 2^{8-2k} a^{8-k} b^k

We get the a^6b^2 term when k=2 :

k=2 \implies \dbinom 82 2^{8-2\cdot2} a^{8-2} b^2 = 28 \cdot2^4 a^6 b^2 = \boxed{448} \, a^6b^2

6 0
1 year ago
How do you solve this?
slavikrds [6]

Answer: To solve these types of questions what I always do is get a protractor if you have one and put it up against to where the dot is in the middle of the empty hole and then get a ruler or a pencil and make the line keep going to see what angle. In this case your answer is 65% I think.

4 0
3 years ago
Can someone help me with these questions? i’m so lost
spayn [35]

Answer:

Q.5 ab=cd

Q.6 ad=bc

Q.7 ce=ae

Q.8 eb=ed

Q.9 angle D=angle B (opposite angle of parallelogram are equal)

let other angle of parallelogram be x.

angle A+angle B +angle C + angle D= 360° (sum of quadrilateral is 360°)

x+130°+x+130°=360°

2x+260°=360°

2x=360°-260°

2x=100°

x=100/2

x=50°

Q.10 similarly, angle b= angle d

let other angle be x.

x+61°+ x+61°=360°

2x+122°=360°

2x=360°+122°

2x=238°

x=238°/2

x=119°

Q.11 in quadrilateral opposite angles are equal and opposite angle of parallelogram are equal.

Q.12 in quadrilateral opposite angle are equal and opposite angle of parallelogram are equal.

Q.13 in quadrilateral opposite sides are equal and opposite sides are parellel and this property is also present in parallelogram.

q.14 in quadrilateral diagonal bisected each other and diagonal of parallelogram also bisect each other.

8 0
3 years ago
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