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3 years ago

Evaluate 1 5y+ 1 10 when y= 1 2.

Mathematics

2 answers:

pychu [463]3 years ago

8 0

Answer:

290

Step-by-step explanation:

15(12)+110

290

just olya [345]3 years ago

5 0

Answer:

170

Step-by-step explanation:

1. y=12 is given so we should put this value in the equation 5y+110

2. then the equation will be 5x12+110

3. 5x12=60

4. 60+110= 170

You might be interested in

Of 900 centimeters. The table shows the height of each bounce.

Mars2501 [29]

Answer:

Rounding to nearest tenth of centimeter, the ball bounces 192.1 cm high on the 5th bounce.

Explanation:

The ball is dropped from a height of 900 centimeters.

Since the heights form a geometric sequence, you can find a common ratio between consecutive terms. This is:

Height bounce 2 / height bounce 1 = 560 / 800 = 0.7

Height bound 3 / height bounce 2 = 392 / 560 = 0.7

Hence, the ratio of the geometric sequence is 0.7, and taking bounce 1 as the start of the sequence, the general term of the sequence is:

$a_n=800(0.7)^{n-1}$

With that formula you can find any term:

$n=1,a_1=800(0.7)^{(1-1)}=800(0.7)^0=800\\ \\ n=2,a_{2}=800(0.7)^{(2-1)}=800(0.7)=560\\ \\n=5,a_{5}=800(0.7)^{(5-1)}=800(0.4)^4=192.08$

Rounding to nearest tenth of centimeter, the ball bounces 192.1 cm high on the 5th bounce.

4 0

4 years ago

Omar knows that his friend Chris lives 3/5 mile away. How far is the school from his house?

Naddik [55]

Answer:

$1\dfrac{3}{5}$ miles

Step-by-step explanation:

The diagram shows,

distance between Omar's house and Chris's house = 3/4 inch that is actually 3/5 mile;
distance between Omar's house and school = 2 inches that is actually x miles.

So,

$\dfrac{3}{4}\ in\ - \ \dfrac{3}{5}\ mi\\ \\2\ in\ - \ x\ mi$

Write a proportion:

$\dfrac{\frac{3}{4}}{2}=\dfrac{\frac{3}{5}}{x}$

Cross multiply:

$\dfrac{3}{4}x=\dfrac{3}{5}\cdot 2\\ \\\dfrac{3}{4}x=\dfrac{6}{5}\\ \\x=\dfrac{6}{5}\div \dfrac{3}{4}=\dfrac{6}{5}\times \dfrac{4}{3}=\dfrac{8}{5}=1\dfrac{3}{5}\ miles$

4 0

4 years ago

Assume the random variable x has a binomial distribution with the given probability of obtaining a success. Find the following.

borishaifa [10]

Answer:

P(x > 10) = 0.6981.

Step-by-step explanation:

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

In this question:

$n = 14, p = 0.8$

P(x>10)

$P(x > 10) = P(X = 11) + P(X = 12) + P(X = 13) + P(X = 14)$

In which

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 11) = C_{14,11}.(0.8)^{11}.(0.2)^{3} = 0.2501$

$P(X = 12) = C_{14,12}.(0.8)^{12}.(0.2)^{2} = 0.2501$

$P(X = 13) = C_{14,13}.(0.8)^{13}.(0.2)^{1} = 0.1539$

$P(X = 14) = C_{14,14}.(0.8)^{14}.(0.2)^{0} = 0.0440$

$P(x > 10) = P(X = 11) + P(X = 12) + P(X = 13) + P(X = 14) = 0.2501 + 0.2501 + 0.1539 + 0.0440 = 0.6981$

So P(x > 10) = 0.6981.

8 0

3 years ago

Convert the decimals to fractions in the simplest fractions. Show your work 10.6= 5.05=

professor190 [17]

Answer: 53/5, 101/20

Step-by-step explanation:

10.6 is = 106/10. Then divide both numerator and denominator by 2. Then it equals 53/5.

5.05 = 505/100. Then divide both numerator and denominator by 5. This will equal 101/20.

5 0

3 years ago

An arrow is shot vertically upward from a platform 35 ft high at a rate of 166 ft/sec. When will the arrow hit the ground? Ignor

Komok [63]

Answer:

The arrow will hit the ground approximately 10.5 seconds after launch.

Step-by-step explanation:

The arrow experiments a free fall motion, which is a particular form of uniform accelerated motion due to gravity and in which air friction and effects from Earth's rotation can be neglected. Then, the height as a function of time ( $h(t)$ ), measured in feet, is obtained by the following kinematic formula:

$h(t) = h_{o}+v_{o}\cdot t + \frac{1}{2}\cdot g \cdot t^{2}$ (1)

Where:

$h_{o}$ - Initial height of the arrow, measured in feet.

$v_{o}$ - Initial velocity of the arrow, measured in feet per second.

$t$ - Time, measured in seconds.

$g$ - Gravitational acceleration, measured in feet per square second.

If we know that $h(t) = 0\,ft$ , $h_{o} = 35\,ft$ , $v_{o} = 166\,\frac{ft}{s}$ and $g = -32.174\,\frac{m}{s^{2}}$ , then the following polynomial is obtained:

$35+166\cdot t -16.087\cdot t^{2}=0$ (2)

Lastly, we find the roots of the given expression by the Quadratic Formula:

$t_{1}\approx 10.526\,s$ and $t_{2} \approx -0.207\,s$

Time is a positive variable and then we conclude that the only solution that is physically reasonable is approximately 10.526 seconds.

The arrow will hit the ground approximately 10.5 seconds after launch.

6 0

3 years ago