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adelina 88 [10]
4 years ago
7

Plz help I'm just having a brain fart right now​

Mathematics
1 answer:
Wittaler [7]4 years ago
4 0

Answer:

x=11

Step-by-step explanation:

For extra help the second answer is: 7a(3-a)

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The square root of 5 less than twice a number is 7. find the number
Sati [7]

Answer:

27

Step-by-step explanation:

Let the number to find out be 'x'

Therefore,

according to the condition given question, we get the equation as

\sqrt{2x-5}=7

Now,

squaring both the sides, we get

2x - 5 = 49

on adding 5 both sides, we get

2x - 5 + 5 = 49 + 5

or

2x = 54

or

x = \frac{\textup{54}}{\textup{2}}

or

x = 27

Hence, the number is 27

8 0
3 years ago
Two ropes, AD and BD, are tied to a peg on the ground at point D. The other ends of the ropes are tied to points A and B on a fl
Salsk061 [2.6K]
So to find the answer you need to use SOHCAHTOA 
Sine= Opposite/ Adjacent
Cosine= Adjacent/Hypotenuse
Tan = opposite/adjacent

angle ADC is 60 so to find the length of line ABC we would use the angle and the line DC. 
We would use Tan with opposite over adjacent
Tan 60 = opp. / 5 root 3 
opp. = 15 
so that is the length of the entire thing, all you need to do now is find the length of the single line of BC which we can use the same equation with just Tan 30 now.
Tan 30 = opp. / 5 root 3 
opp. = 5 
next you need to take the entire ABC length and subtract the length of BC to get AB
15-5 = 10 
so the answer would be C
8 0
3 years ago
The first term and the common ratio of a G.P are respectively 3 and 1/2.write down the first five terms​
PSYCHO15rus [73]

Answer:

Step-by-step explanation:

a =3 ;r  = 1/2

first term = 3

second term = 3*1/2 = 3/2

third term = 3/2 * 1/2 = 3/4

Fourth term = 3/4*1/2 = 3/8

Fifth term = 3/8 * 1/2 = 3/16

GP is: 3,3/2,3/4,3/8,3/16......

8 0
4 years ago
What number is 40% of 30? Will Upvote
diamong [38]
\displaystyle x \ is \ 40\% of 30 \\ ------------- \\ x= \frac{40}{10\not0} \cdot 3\not0  \\ \\ x= \frac{40}{10} \cdot 3\\\\ \\x= \frac{120}{10}  \\ \\ x=12
3 0
3 years ago
In the last mayoral election in a large city, 47% of the adults over the age of 65 voted Republican. A researcher wishes to dete
Yuliya22 [10]

Answer:

Null Hypothesis, H_0 : p = 47%  

Alternate Hypothesis, H_A : p \neq 47%

Step-by-step explanation:

We are given that in the last mayoral election in a large city, 47% of the adults over the age of 65 voted Republican.

A researcher wishes to determine if the proportion of adults over the age of 65 in the city who plan to vote Republican in the next mayoral election has changed.

<u><em>Let p = proportion of the population of all adults over the age of 65 in the city that plan to vote Republican in the next mayoral election.</em></u>

So, Null Hypothesis, H_0 : p = 47%  

Alternate Hypothesis, H_A : p \neq 47%

Here, <u>null hypothesis states that</u> the proportion of adults over the age of 65 in the city who plan to vote Republican in the next mayoral election is equal to 47%.

On the other hand, <u>alternate hypothesis states that</u> the proportion of adults over the age of 65 in the city who plan to vote Republican in the next mayoral election is different from 47%.

Also, The test statistics that will be used here is <u>One-sample z proportion</u> <u>statistics;</u>

                               T.S.  = \frac{\hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } }  ~ N(0,1)

Hence, the researcher should test the above null and alternative hypotheses.

6 0
3 years ago
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