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Elena L [17]
2 years ago
8

10t+50=100

Mathematics
1 answer:
monitta2 years ago
3 0
10t+50=100
-50 -50
10t=50
10t/10=50/10
t=5
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T j bought fire insurance for his pizza shop for 220,000 at an annual rate per $100 of .49 at the end of 10 months TJ cancelled
Nezavi [6.7K]

Step-by-step explanation:

220000/100=2200*0.49=789

4 0
3 years ago
Suppose r(t)=costi+sintj+3tk represents the position of a particle on a helix, where z is the height of the particle above the g
Ilia_Sergeevich [38]

a. The \vec k component tells you the particle's height:

3t=16\implies t=\dfrac{16}3

b. The particle's velocity is obtained by differentiating its position function:

\vec v(t)=\dfrac{\mathrm d\vec r(t)}{\mathrm dt}=-\sin t\,\vec\imath+\cos t\,\vec\jmath+3\,\vec k

so that its velocity at time t=\frac{16}3 is

\vec v\left(\dfrac{16}3\right)=-\sin\dfrac{16}3\,\vec\imath+\cos\dfrac{16}3\,\vec\jmath+3\,\vec k

c. The tangent to \vec r(t) at t=\frac{16}3 is

\vec T(t)=\vec r\left(\dfrac{16}3\right)+\vec v\left(\dfrac{16}3\right)t

4 0
2 years ago
Marcus randomly draws tokens from a bag containing 10 blue tokens, 8 green tokens, and 12 red tokens. The first draw is a green
IrinaVladis [17]

Answer: 1. D) 30

2. A) 8

3. B) 4/15

4. A)  2/9

5.D) 64%

Step-by-step explanation:    

1. Since, here the tokens from a bag containing 10 blue tokens, 8 green tokens, and 12 red tokens. The first draw is a green token.

Thus, the total token = 10 blue tokens+ 8 green tokens+ 12 red tokens = 30 token

Therefore, If the first draw is a green token, Then total outcomes that will possible = 30.

2. Since, getting green is an event with 8 favorable outcomes.

Therefore,  If the first draw is a green token, Then total favorable outcomes that will possible = 8.

3. The possibility of getting green in first drawn, P(G) = \frac{8_C_1}{30_C_1}

P(G) =  \frac{8}{30} = \frac{4}{15}

4. Here, Number of red socks= 5

Number of white socks = 2 and Number of  blue socks=3

Therefore total socks = 10

⇒ Probability of picking a pair of red socks,

P(R)= \frac{5_C_2}{10_C_2} = \frac{10}{45}

⇒ P(R)= 2/9

5. Since, here coin is flipped 50 times and lands on heads 32 times.

Therefore, experimental probability that coin will land on heads on the next flip = (total times in which head appears/ total number of experiments) × 100 = (32/50)×100=64%


3 0
3 years ago
: Emily’s family ordered a pizza for dinner. The radius of the pizza is 8 inches. How many square inches of pizza did Emily’s fa
denpristay [2]

Answer:

A = 201.06  square inches

Step-by-step explanation:

Radius of the pizza is 8 inches.

It is required to find the area of the pizza get by Emily's family.

Pizza is in the shape of circle. Area of a circular figure is given by :

A=\pi r^2\\\\A=\pi (8)^2\\\\A=201.06\ in^2

So, the Emily's family will get 201.06 square inches of pizza.

5 0
3 years ago
Katie and her brother are both writing a report. Katie write 7/8 of her report and her brother wrote 3/7 of his report. What is
skad [1K]

Answer:

Answer is 25/56

Step-by-step explanation:

Given that

Katie and her brother are both writing a report. Katie write 7/8 of her report and her brother wrote 3/7 of his report

TO compare these two fractions we have to make both of them have the same denominator.

We find that as such the two fractions have denominators as 7 and 8 and hence Least common multiple is 56

LEt us make equivalent fractions

7/8 = 49/56

3/7=24/56

Difference i.e. Katie wrote more than her brother = 49/56-24/56

=25/56

4 0
2 years ago
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