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mr Goodwill [35]
3 years ago
10

Identify the terms,like terms,coefficients, and constants in each expression 4b+7b+5

Mathematics
2 answers:
Lunna [17]3 years ago
8 0
Terms are separated by plus and minus signs, meaning 4b, 7b, and 5 are all separate terms.

Like terms are pretty self explanatory, and they are 4b and 7b, both multiples of b.

The coefficients can be thought of as the number that a variable is multiplied by, and the only variable we see here is b. The coefficients are 4 and 7.

The constant is 5; its value stays at 5, because its value doesn't depend on a variable (the value is constant).
expeople1 [14]3 years ago
4 0
Terms: 4b, 7b, and 5
Like Terms: 4b and 7b
Coefficient: 4 and 7
Constant: 5
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Someone please help with this!!!!
choli [55]

Answer:

18. h = 14.4

19. h = 4.23

20. h = 15.28

21. h = 11.46

All answers are rounded to two decimal places.

Step-by-step explanation:

18. To find the height if you know all 3 sides. Multiply sides a & b, and divide the product by c.

x = (a * b)/c

x = (18 * 24)/30

x = 432/30

x = 72/5

x = 14.4

19. We know that the entire length of the hypotenuse is 27. However, 24 is needed here. That's 8/9 of 27, so 80 degrees is one of the angles. So we need to find the hypotenuse first. That can be done like this: b/sin(β)

24/sin(80)

24/0.98480775

24/1 * 4000000/3939231

8/1 * 4000000/1313077

32000000/1313077

24.3702388

Now to find the first leg, which will be the height of the entire triangle.

x = √c² - b²

x = √24.3702388² - 24²

x = √593.908539 - 576

x = √17.908539

x = 4.23184818

x = 4.23

20. This one requires similar work to #19, but the hypotenuse of the smaller triangle is x.

20/sin(60)

20/0.8660254

20/1 * 5000000/4330127

100000000/4330127

23.0940109

√23.0940109² - 20²

√533.333339 - 400

√133.333339

11.5470056

î The answer above is leg 2 of the smaller triangle.

x = √10² + 133.333339

x = √100 + 133.333339

x = √233.33339

x = 15.2752525

x = 15.28

21. There is no need to figure out what the height is. The entire triangle is 45-45-90.

x = (√18² + 18²) - 15

x = (√324 + 324) - 15

x = (√648) - 15

x = 25.46 - 15

x = 11.46

7 0
3 years ago
I dont really understand it HELP :/
Butoxors [25]

Answer:

help

/hɛlp/

Learn to pronounce

verb

1.

make it easier or possible for (someone) to do something by offering one's services or resources.

"they helped her with domestic chores"

Similar:

assist

aid

help out

lend a hand to

lend a helping hand to

give assistance to

come to the aid of

succour

aid and abet

be of service to

be of use to

be useful to

do someone a favour

do someone a service

do someone a good turn

bail/bale someone out

come to someone's rescue

give someone a leg up

cooperate with

do one's bit for

rally round

pitch in

chip in

save someone's bacon

save someone's skin

muck in with

get stuck in with

Opposite:

hinder

2.

serve someone with (food or drink).

"may I help you to some more meat?"

noun

the action of helping someone to do something.

"I asked for help from my neighbours"

Similar:

assistance

aid

a helping hand

support

succour

advice

guidance

solution

benefit

use

advantage

service

comfort

avail

cooperation

collaboration

backing

encouragement

a shot in the arm

Opposite:

hindrance

exclamation

used as an appeal for urgent assistance.

"Help! I'm drowning!"

Definitions from Oxford Languages

Feedback

Translations and more definitions

People also ask

What is a fancy word for help?

Step-by-step explanation:

3 0
3 years ago
Which of the descriptions is true for the graph
Flura [38]

Let's check every choices until one choices satisfy the graph :

Choice A is just a translation of -5 units or 5 units to the left

If we look at the graph between A"B"C" and A'B'C'

A"B"C" is 5 units to the left of A'B'C'

Therefore Choice A is True!

The correct answer is A.

No need to check for the other choices since you got a true statement at the first Choice.

IF in case that A is False, then you need to check the other choices.

5 0
2 years ago
Rewrite the expression 3a^2b^3c^5 / 8x^4y^3z so that it has no denominator
Trava [24]
There are no like terms, so you cannot simplify it any farther
5 0
3 years ago
The amount of time that people spend at Grover Hot Springs Spa is normally distributed with a mean of 63 minutes and a standard
PtichkaEL [24]

Answer:

a)X \sim N(63,18)  

Where \mu=63 and \sigma=18

b) P(X>90)=P(\frac{X-\mu}{\sigma}>\frac{90-\mu}{\sigma})=P(Z>\frac{90-63}{18})=P(Z>1.5)

And we can find this probability using the complement rule and with the normal standard table or excel:

P(Z>1.5)=1-P(Z

c) P(X

P(Z

d) P(60

P(-0.167

P(-0.167

e)  IQR = 75.13-50.87=24.26

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  

Part a

Let X the random variable that represent the amount of time that people spend at Grover Hot Springs of a population, and for this case we know the distribution for X is given by:

X \sim N(63,18)  

Where \mu=63 and \sigma=18

Part b

We are interested on this probability

P(X>90)

And the best way to solve this problem is using the normal standard distribution and the z score given by:

z=\frac{x-\mu}{\sigma}

If we apply this formula to our probability we got this:

P(X>90)=P(\frac{X-\mu}{\sigma}>\frac{90-\mu}{\sigma})=P(Z>\frac{90-63}{18})=P(Z>1.5)

And we can find this probability using the complement rule and with the normal standard table or excel:

P(Z>1.5)=1-P(Z

Part c

We are interested on this probability

P(X

And the best way to solve this problem is using the normal standard distribution and the z score given by:

z=\frac{x-\mu}{\sigma}

If we apply this formula to our probability we got this:

P(X

And we can find this probability using the normal standard table or excel:

P(Z

Part d

If we apply this formula to our probability we got this:

P(60

And we can find this probability with this difference:

P(-0.167

And in order to find these probabilities we can find tables for the normal standard distribution, excel or a calculator.  

P(-0.167

Part e

Q1

For this part we want to find a value a, such that we satisfy this condition:

P(X>a)=0.75   (a)

P(X   (b)

Both conditions are equivalent on this case. We can use the z score again in order to find the value a.  

As we can see on the figure attached the z value that satisfy the condition with 0.25 of the area on the left and 0.75 of the area on the right it's z=-0.674. On this case P(Z<-0.674)=0.25 and P(z>-0.674)=0.75

If we use condition (b) from previous we have this:

P(X  

P(z

But we know which value of z satisfy the previous equation so then we can do this:

z=-0.674

And if we solve for a we got

a=63 -0.674*18=50.87

So the value of height that separates the bottom 25% of data from the top 75% is 50.87.  

Q3

Since the distribution is symmetrical we repaeat the procedure for Q1 but now with z= 0.674

z=0.674

And if we solve for a we got

a=63 +0.674*18=75.13

And then the IQR = 75.13-50.87=24.26

3 0
3 years ago
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