Answer:
x = 3Step-by-step explanation:
-3(-3x - 7) = 48=> 9x + 21 = 48=> 9x = 48 - 21=> 9x = 27=> x = 3Conclusion:
Therefore, the answer is 'x = 3'.
Hoped this helped
[tex]BrainiacUser1357[/tex]
Answer:
−3(−3x−7)=48
Divide both sides by −3.
−3x−7= 48
Divide 48 by −3 to get −16.
−3x−7=−16
Add 7 to both sides.
−3x=−16+7
Add −16 and 7 to get −9.
−3x=−9
Divide both sides by −3.
x= −3 −9
Divide −9 by −3 to get 3.
x=3
Step-by-step explanation:
bobby and his brother had 3/4 of a pizza leftover after dinner.their father came home and ate 1/2 of the leftover pizza.how much pizza did their father eat
An ant looks up at an angle of elevation of 30degrees to the top of a tree. If the ant is 40 feet from the base of the tree, what is the height of the tree, to the nearest tenth?
a.
23.1 feet
b.
25.2 feet
c.
32.8 feet
d.
34.6 feet
Anaswer Let the height of the tree be
y
ft. By condition;
tan
38
=
y
43
or
y
=
43
tan
38
or
y
=
33.6
ft [Ans]
Step-by-step explanation:
Answer:
Step-by-step explanation:
The CORRECT answer is
C. 32.8 feet Got it correct
h(x)=3x−3, find h(3)h(3)
h(x)=3x−3, find h(3)
h(3)= 3(3)−3
= 9-3
= 6
Suppose that grade point averages of undergraduate students at one university have a bell-shaped distribution with a mean of 2.62 and a standard deviation of 0.4. Using the empirical rule, what percentage of the students have grade point averages that are no more than 1.82? Please do not round your answer.
Answer:
The percentage of the students who have grade point averages that are no more than 1.82 is 2.5%
Step-by-step explanation:
The empirical rule states that for a normal distribution, 68% of the distribution are within one standard deviation from the mean, 95% are within two standard deviations from the mean and 99.7% are within three standard deviations from the mean.
Given that:
Mean (μ) = 2.62, Standard deviation (σ) = 0.4
68% are within one standard deviation = μ ± σ = 2.62 ± 0.4 = (2.22, 3.02)
95% are within two standard deviations = μ ± 2σ = 2.62 ± 2(0.4) = (1.82, 3.42)
The percentage of the students have grade point averages that are no more than 1.82 is 100% - [95% + (100% - 95%)/2] = 100% - 97.5% = 2.5%
triangle ABC rotated 90 degress clockwise about point P to create triangle DEF. Determine the correct orientation and location of triangle DEF
When a triangle is rotated, it must be rotated through a center.
The location of the triangle would be above point P, and the orientation is triangle DEF (the first triangle)
The triangle is given as: triangle ABC.
And the degree of rotation is 90 degrees clockwise.
Given that the triangle is rotated about point P, then the new location after 90 degrees rotation would be above point P.
And the orientation would point to the right of point P.
Hence, the location of the triangle would be above point P, and the orientation is triangle DEF (the first triangle).
Read more about rotation at:
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which angles are correspoding angles
Answer:
When two lines are crossed by another line (which is called the Transversal), the angles in matching corners are called corresponding angles. Example: a and e are corresponding angles. When the two lines are parallel Corresponding Angles are equal.
Pls help on #7 I will give brainiest ! 7th grade level
Answer:
50
Step-by-step explanation:
To solve this problem you multiply 6 by 100 and then divide the total by 12 as follows: (6 x 100) / 12
Can someone solve this?
HURRRYYY PLEASEEEE ANSWERRRR
Answer:
27*10⁵ is basically 270000.
8. What is the linear term in the quotient of 8x" - 6x + 9x - 5x + 12 divided by 2x + 3x + 5?
Answer:
Step-by-step explanation:
Please help me on question 32!!!
Divide. Write the answer in simplest form. 14/27÷7=
Answer:
[tex]\frac{2}{27}[/tex]
Step-by-step explanation:
hope this helps! :D
have a MIRACULOUS day!! <3
Answer:
2/27
Step-by-step explanation:
14/27÷7
Convert The element to fraction: 7=7/1
=14/27 ÷ 7/1
Apply the fraction rule:
=14/27 x 1/7
Cross- cancel common factor: 7
2/27
A recent study revealed the typical American coffee drinker consumes an average of 3.1 cups per day. A sample of 12 senior citizens revealed they consumed the following amounts of coffee, reported in cups, yesterday.
3.1, 3.3 ,3.5 ,2.6, 2.6, 4.3, 4.4 ,3.8 ,3.1 ,4.1 ,3.1, 3.2
(a) State the null hypothesis and the alternate hypothesis. (Round your answers to 1 decimal place.)
(b) State the decision rule for 0.05 significance level. (Negative amounts should be indicated by a minus sign. Round your answers to 3 decimal places.)
(c) Compute the value of the test statistic. (Round your answer to 3 decimal places.)
(d) Do these sample data suggest there is a difference between the national average and the sample mean of the senior citizens?
Using the t-distribution, it is found that:
a)
The null hypothesis is [tex]H_0: \mu = 3.1[/tex]
The alternative hypothesis is [tex]H_1: \mu \neq 3.1[/tex]
b)
|t| < 2.201: Do not reject the null hypothesis.|t| > 2.201: Reject the null hypothesis.c) t = 1.853
d) Since |t| = 1.853 < 2.2, we do not reject the null hypothesis, that is, the sample data does not suggest that there is a difference between the national average and the sample mean of the senior citizens.
Item a:
At the null hypothesis, it is tested if the estimate of 3.1 cups per day is correct, that is:
[tex]H_0: \mu = 3.1[/tex]
At the alternative hypothesis, it is tested if the estimate is not correct, that is:
[tex]H_1: \mu \neq 3.1[/tex]
Item b:
This is a two-tailed test, as we are testing if the mean is different of a value, with 12 - 1 = 11 df and a significance level of 0.05, hence, the critical value is [tex]t^{\ast} = 2.2[/tex].
Then, the decision rule is:
|t| < 2.201: Do not reject the null hypothesis.|t| > 2.201: Reject the null hypothesis.Item c:
We can find the standard deviation for the sample, hence, the t-distribution is used.
The test statistic is given by:
[tex]t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}[/tex]
The parameters are:
[tex]\overline{x}[/tex] is the sample mean. [tex]\mu[/tex] is the value tested at the null hypothesis. s is the standard deviation of the sample. n is the sample size.The values of the parameters, with the help of a calculator for the sample mean and standard deviation, are given by: [tex]\overline{x} = 3.425, \mu = 3.1, s = 0.6077, n = 12[/tex]
Hence, the value of the test statistic is:
[tex]t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}[/tex]
[tex]t = \frac{3.425 - 3.1}{\frac{0.6077}{\sqrt{12}}}[/tex]
[tex]t = 1.853[/tex]
Item d:
Since |t| = 1.853 < 2.2, we do not reject the null hypothesis, that is, the sample data does not suggest that there is a difference between the national average and the sample mean of the senior citizens.
A similar problem is given at https://brainly.com/question/24826023
Find the 63rd term of the arithmetic sequence 17, 26, 35
Answer:
a₆₃ = 575
Step-by-step explanation:
The nth term of an arithmetic sequence is
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = 17 and d = a₂ - a₁ = 26 - 17 = 9 , then
a₆₃ = 17 + (62 × 9) = 17 + 558 = 575
Algebra problem is in the picture attached. PLEASE HELP!
Answer:
Step-by-step explanation:
The _________ setting in the option profile automatically closes any open vulnerabilities on ports that are no longer targeted in your scan job.
The name which is given to the setting in the option profile which automatically closes any open vulnerabilities on ports that are no longer targeted in your scan job is:
Vulnerability DetectionBased on the given question, we can see that in network security, there are certain protocols which has to be followed to ensure that there is security and that unauthorised access does not occur.
As a result of this, the Vulnerability Detection is used to set in the option profile to help to close the open vulnerability on the ports which are not targeted in the scan job.
Therefore, the correct answer is Vulnerability Detection
Read more about vulnerabilities here:
https://brainly.com/question/18088367
1cm
1
6 cm
Diagram NOT
accurately drawn
Scm
11 cm
9 cm
| 6cm
18 cm
The diagram shows a shape.
All of its corners are right angles.
Work out the area of the shape.
Answer:
110cm²
Step-by-step explanation:
*Diagram is ALSO not accurately drawn
18cm-6cm-5cm=7cm
11cm-9cm=2cm
Area:
11cm×6cm=66cm²
7cm×2cm=14cm²
6cm×5cm=30cm²
Area of the shape:
66cm²+14cm²+30cm²=110cm²
The temperature of a pot of hot water is 200.5. The temperature of the water decreases 3.5 per minute. What is the temperature of the water after 15 minutes?
Answer:
The temperature of the liquid 15 minutes later is [tex]151.5[/tex]
Step-by-step explanation:
This is an example of arithmetic progression
We need to find 15 th term
Here
[tex]a=200.5\\\\d=-3.5\\\\t_{15}=200.5+(15-1)\times-3.5\\\\=151.5[/tex]
Describe fully the single transformation which takes shape A to shape B
Answer:
Translation down by 1 then reflection over Y axis.
Step-by-step explanation:
Two weeks ago,a bookstore sold 120 books Last,week,it sold 138 books.find the percent of increase in sales?
Answer:
15%
Step-by-step explanation:
[tex]\frac{138}{120}[/tex]×100=
1.15
115%
Increase in 15%
Under his cell phone plan, Nathaniel pays a flat cost of $41 per month and $4 per gigabyte. He wants to keep his bill at $45.80 per month. Write and solve an equation which can be used to determine 2, the number of gigabytes of data Nathaniel can use while staying within his budget.
Answer:
equation: 41+4x=45.80
answer: x=1.20
Step-by-step explanation:
The equation is $45.80 = $41 + ($4 × x) which can be used to determine the number of gigabytes of data Nathaniel can use while staying within his budget. And Nathaniel can use up to 1.2 gigabytes of data while staying within his budget of $45.80 per month.
Let's denote the number of gigabytes of data Nathaniel can use as x.
Then the equation representing his cell phone bill can be set up as:
Total cost = Flat cost + (Cost per gigabyte × Number of gigabytes)
$45.80 = $41 + ($4 × x)
Now, we can solve for x:
$4 × x = $45.80 - $41
$4 × x = $4.80
x = $4.80 / $4
x = 1.2
So, Nathaniel can use up to 1.2 gigabytes of data while staying within his budget of $45.80 per month.
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Tell whether the ordered pair is a solution to the equation. Please show how you solved it.
(4, 4); y = -x + 8
Answer:
The ordered pair is a solution to the equation
Step-by-step explanation:
Plug the ordered pair into the equation as (x,y):
y = -x + 8
4 = -4 + 8
4 = 4
Since both sides are equal to each other, then the ordered pair is a solution to the equation.
Yes, it is a solution to the equation.
Plug in the values 4, for y, and 4, for x. Since there is a negative sign next to x, it turns 4 into -4. So, the equation will look like this: 4 = -4 + 8, add 8 to -4, and you get 4. 4 = 4. 4 = 4 is a true statement, so the pair IS a solution to the equation. Hope this helps!
Geet sells televisions. He earns a fixed amount for each television and an additional $25 if the buyer gets an extended warranty. If Geet sells 19 televisions with extended warranties, he earns $1,425. How much is the fixed amount Geet earns for each television?
Answer:
50 dollars.
Step-by-step explanation:
19 x 25= 475
1,425 - 475= 950
950 divided by 19 is 50.
Write the equation of the line that passes through the points (-7,7) and (-6,-5)
Answer:
y= -12x - 77
Step-by-step explanation:
HOPE THIS HELPS
Supply the missing reasons to complete the proof.
Answer:
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if there is 26.5 g of sugar in 250ml, how much in 200 ml
Solve for x.
z=(x-8)k
Answer:
z/k + 8 = x
Step-by-step explanation:
z=(x-8)k
Divide both sides by k
z/k = x - 8
Add 8 to both sides
z/k + 8 = x
Find the solution(s) of the system of equations:
y = –x2 + 4x + 5
y = x2 + 2x + 1
a. (–1,2) and (2,17)
b. (1,0) and (–2,9)
c. (1,4) and (2,9)
d. (–1,0) and (2,9)
The solution to the equation are (2, 9) and (-1, 0)
Given the functions as shown below:
y = –x2 + 4x + 5 y = x2 + 2x + 1Equating both equations will give;
–x^2 + 4x + 5 = x^2 + 2x + 1
Collect the like terms to have:
–x^2 + 4x + 5 –x^2 - 2x - 1 = 0
-2x^2 + 2x + 4= 0\
2x^2 - 2x - 4 = 0
x^2 - x - 2 =0
Factorize to have:
x^2 - x - 2 =0
x^2 - 2x + x - 2 = 0
x(x-2)+1(x-2) = 0
x = 2 and -1
If x = 2
y = 2^2 + 2(2) + 1
y = 9
If x = -1
y = (-1)^2 + 2(-1) + 1
y = 1 - 2 + 1
y = 0
Hence the solution to the equation are (2, 9) and (-1, 0)
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There are 120 people in a sport centre.
78 people use the gym.
46 people use the swimming pool.
45 people use the track.
21 people use the gym and the pool.
16 people use the pool and the track.
24 people use the gym and the track.
9 people use all three facilities.
Given that a randomly selected person uses the gym and the track, what is the probability they do not use the swimming pool?
Answer:
62%
Step-by-step explanation:
120-46=74
74/120 don't use
simplify 37/60
to percent; 62%
Question 1(Multiple Choice Worth 2 points)
Convert 0.00001 to a power of 10.
104
10−4
105
10−5
Answer:
Hello! Your answer here is 10−5.
Step-by-step explanation:
To convert 0.00001 to a power of 10, we use scientific notation. Scientific notation is a way of expressing numbers that are too large or too small to be conveniently written in decimal form.
In this problem, the given decimal number is 0.00001. We must move the decimal 5 places to the right, which gives us 1.0.
Then, we multiply 1.0 by 10 raised to the negative of the number of places we have moved the decimal point - so we multiply 1.0 by 10−5, which gives us our answer:
10−5