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3 years ago

Create an equation to solve for x, then solve to find its value.

Mathematics

2 answers:

Amanda [17]3 years ago

8 0

Answer:

Equation: x + 16 + 13 + x = 21 ; x = -4

Step-by-step explanation:

x + 16 + 13 + x = 21 (Given)

2x + 29 = 21 (Added like terms)

2x = -8 (Subtracted 29 on both sides)

x = -4 (Divided 2 on both sides)

MAXImum [283]3 years ago

3 0

Answer:

Step-by-step explanation:

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HELP PLEASE! Thank you!

Nataly [62]

Answer:

See attached graph for the first part

Answer to second part: The end part of the graph show the slowest increase

Step-by-step explanation:

The attached picture represents the number of infected people, starting with a relatively small number at the origin of the horizontal axis (x=0, or time=0) then increasing abruptly in the center of the graph with steep slope. and then infection slowing down (although still slowly increasing) in the region highlighted in yellow to the right of the graph.

8 0

3 years ago

A jar of peanut butter contains 454 g with a standard deviation of 10.2 g. Find the probability that a jar contains more than 46

Fofino [41]

Answer:

The probability that a jar contains more than 466 g is 0.119.

Step-by-step explanation:

We are given that a jar of peanut butter contains a mean of 454 g with a standard deviation of 10.2 g.

Let X = Amount of peanut butter in a jar

The z-score probability distribution for the normal distribution is given by;

Z = $\frac{X-\mu}{\sigma}$ ~ N(0,1)

where, $\mu$ = population mean = 454 g

$\sigma$ = standard deviation = 10.2 g

So, X ~ Normal( $\mu=454 , \sigma^{2} = 10.2^{2}$ )

Now, the probability that a jar contains more than 466 g is given by = P(X > 466 g)

P(X > 466 g) = P( $\frac{X-\mu}{\sigma}$ > $\frac{466-454}{10.2}$ ) = P(Z > 1.18) = 1 - P(Z $\leq$ 1.18)

= 1 - 0.881 = 0.119

The above probability is calculated by looking at the value of x = 1.18 in the z table which has an area of 0.881.

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

3 years ago

What's the reciprocal of 6⁄5

Alik [6]

Answer:

5/6

Step-by-step explanation:

the reciprocal of any fraction is the fraction flipped

8 0

3 years ago

Read 2 more answers

Pls help soon:)

Tanzania [10]

Correct answers are:
(1) 28, 141 known cases
(2) 79913.71 known cases after six weeks (round off according to the options given)
(3) After approx. 9 weeks (9.0142 in decimal)

Explanations:
(1) Put x = 0 in given equation
y= 28, 141 (1.19)^x
y= 28, 141 (1.19)^(0)
y= 28, 141

(2) Put x = 6 in the given equation:
y= 28, 141 (1.19)^x
y= 28, 141 (1.19)^(6)
y= 79913.71

(3) Since
y= 28, 141 (1.19)^x
And y = 135,000

135,000 = 28, 141 (1.19)^x
135,000/28, 141 = (1.19)^x

taking "ln" on both sides:
ln(4.797) = ln(1.19)^x

ln(4.797) = xln(1.19)
x = 9.0142 (in weeks)

5 0

3 years ago