All categories

3 years ago

How do you round 3y+4-6=-21 to the nearest hundredth

Mathematics

1 answer:

NARA [144]3 years ago

6 0

Answer:

-19

Step-by-step explanation:

3y+4-6=-21

3y+4-4-6=-21-4

3y-6=-25

3y-6+6=-25+6

3y=-19

-19 rounded to the nearest hundredth is still -19

You might be interested in

Please help me out! I have only 1 hour left! I will give brainlist to correct answers. 5 stars and thanks for ALL answers, even

IrinaK [193]

Answer:

The small tire would make about 127 rotations.

The large tire would make about 38 rotations.

b. Would you rather ride a bicycle made with two large wheels or two small wheels? Explain.

Two large wheels. Because the larger wheel makes a smoother ride and you spend less energy in order to move, compared to smaller wheels. Also, the larger the diameter, the further it can travel over one revolution.

A bicycle with would allow you to travel farther with each rotation of the pedal.

The larger one. Because in one rotation the larger wheel moves 188.49 inches and the smaller one 56.55 inches.

$C= 188.49\text{inches}$

$C= 56.55\text{inches}$

Step-by-step explanation:

- Big wheel 60 inches

- Small wheel 18 inches.

a. How many rotations does each tire make after traveling 600 feet? Round your answers to the nearest whole number.

Considering: $C=\pi d$

Large tire:

$C=60\pi$

$C= 188.49\text{inches}$

$C=\frac{188.49}{12} = 15.7 \text{feet}$

$\frac{600 }{15.7} = 38 \text{rotations}$

Small tire:

$C=18\pi$

$C= 56.55\text{inches}$

$C=\frac{56.55}{12} = 4.71 \text{feet}$

$\frac{600 }{4.71} = 127 \text{rotations}$

8 0

3 years ago

H(x) = x4+ 2x3- 10x2 -18x+9

vichka [17]

Let's group the cubic function: $h(x)=x^4+2x^3-10x^2-18x+9=(x-3)(x+3)(x^2+2x-1)$ .

The first two roots are $\pm3$ however to find the last two roots we need to solve the square equation:

$x^2+2x-1=0
\\D=b^2-4ac=2^2-4\cdot1\cdot(-1)=8$ . Now we know the discriminator, using the discriminator we're able to find the roots of the equation: $x_{1,2}=\frac{-b\pm\sqrt{D}}{2a}=\frac{-2\pm\sqrt{8}}{2}=\frac{-2\pm2\sqrt{2}}{2}=\frac{2(\sqrt{2}\pm1)}{2}$ . The roots of the square equation are $x_{1}=-1-\sqrt{2}$ and $x_{2}=\sqrt{2}-1$ .

The roots of the cubic function are $\pm3$ , $-1-\sqrt{2}$ and $\sqrt{2}-1$ .

5 0

3 years ago

Read 2 more answers

involving the selection of two apples from a bag of red and yellow apples without replacement. Assume that the bag has a total o

ivolga24 [154]

Answer:

1) The probability that the second apple is red is 0.7143 (71.43%).

2) The probability that at least one red apple is picked 0.9341 (93.41%).

Step-by-step explanation:

We can make a probability tree as the attached picture.

1) There are 2 ways in the probability tree when the second apple is red:

Both apples are red:

P(R∩R)= $\frac{10}{14}\frac{9}{13}$ =0.4945

Only the second apple is red:

P(Y∩R)= $\frac{4}{14}\frac{10}{13}$ =0.2198

The probability that the second apple is red is the sum of the previous probabilities.

P(2nd R)=P(R∩R)+P(Y∩R)=0.4945+0.2198=0.7143

2) To find the probability that at least one apple is red, we can get the probability of none of the apples is red and then it will be subtracted from 1.

The way in the probability tree is Y∩Y:

P(Y∩Y)= $\frac{4}{14} \frac{3}{13}$ =0.0659

P(at least 1 R)= 1-P(Y∩Y)=1-0.0659=0.9341

8 0

4 years ago

Read 2 more answers

Yesterday the temperature at noon was 11.4*f, by midnight decreased by 15.7 degrees. What was the temperature at midnight?

Svetllana [295]

The answer is 27.1 degrees. because 11.4+15.7 = 27.1.

6 0

3 years ago

Read 2 more answers

Replacement times for CD players are normally distributed

slavikrds [6]

Answer:

0.04

Step-by-step explanation:

X~N(μ=14.2; σ=0.9), a=7

$P(X>7)=1-P(X\leq 7)$

$P(0\leq X\leq a)=P(\frac{0-\mu}{\sigma} \leq \frac{X-\mu}{\sigma}\leq \frac{a-\mu}{\sigma}), Z= \frac{X-\mu}{\sigma}=P(0\leq X\leq a)=P(\frac{0-\mu}{\sigma} \leq \frac{X-\mu}{\sigma}\leq \frac{a-\mu}{\sigma}), Z= \frac{X-\mu}{\sigma}$

$P(0\leq X\leq 7) = P(\frac{0-5.5}{1.5} \leq Z\leq \frac{7-5.5}{1.5}) = \Phi(1.66)-\Phi(-3.66) = \Phi(1.66) -(1-\Phi(3.66)) = 0.95-(1-0.99)=0.96$

P(X>7)=1-0.96=0.04

3 0

3 years ago