How to solve this problem
Answer:
Solving the radical [tex]\pm\sqrt{-81}[/tex] we get [tex]\mathbf{\pm9 \ i}[/tex]
Step-by-step explanation:
We need to express the radical [tex]\pm\sqrt{-81}[/tex] using the imaginary unit i
Prime factors of 81 are: 3x3x3x3
and [tex]\sqrt{-1}=i[/tex]
Solving:
[tex]\pm\sqrt{-81}\\=\pm\sqrt{81}\sqrt{-1}\\=\pm\sqrt{3\times3\times3\times3}i\\ =\pm\sqrt{3^2\times3^2}i\\=\pm3\times3\ i\\=\pm9 \ i[/tex]
So, Solving the radical [tex]\pm\sqrt{-81}[/tex] we get [tex]\mathbf{\pm9 \ i}[/tex]
Jill paid a sales tax of $1.40 when she bought a vest.What was the price of the vest not including the tax?
Answer:
Price of tne Vest + $40 - 1.40 = $38.6
Step-by-step explanation:
3.5% * n = $1.40
0.035 * n = $1.40
0.035/0.035 * n = $1.40/0.035
n = $40
The price of the vest not including the tax is, $40
What is mean by Percentage?
A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.
Since, Tax is a sum levied by the government or an agency of the government on goods and services. taxes increases the price of products
Now,
Let p = price of a vest
Hence, from the question, this equation can be formed,
⇒ 35% of p = $1.40
⇒ 0.035 x p = $1.4
divide both sides of the equation by 0.035;
⇒ p = $40
Thus, The price of the vest not including the tax is, $40
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Complete question is this;
Jill paid a sales tax of $1.40 when she bought a vest. What was price of vest not including tax? Sales tax = 3.5%
Solve for x.
2(3x – 4) + x – 1= –16
Answer:
x=-1
Step-by-step explanation:
it easy fhfhfhrbf
Answer:
-1
Step-by-step explanation:
6x-8+x-1=-16
7x-9=-16
7x=-7
x=-1
The data set shows the numbers of flowers that students on a field trip correctly identified. What is the mode of the data set? 0 7 3 9 5 0 10 5 8 6
Answer:
The mode is the value that appears most frequently in a data set
Step-by-step explanation:
so it will be 0 and 5
Answer:
0 and 5
explanation:
In their first year, The English Patient earned $342,600,000 while Star Wars earned $670,900,000. National Treasure earned $334,100,000 its first year. How much more did Star Wars earn than The English Patient?
A. $1,430,699,010
B. $1,420,699,010
C. $1,330,699,010
D. $328,300,000
$143,699,010
use the calculator
A company that makes cola drinks states that the mean caffeine content per 12-ounce bottle of cola 40 milligrams. You want to test this claim. During your tests, you find that a random sample of thirty 12-ounce bottles of cola has a mean caffeine content of 39.2 milligrams. Assume the population is normally distributed with a standard deviation of 7.5 milligrams. At α=0.01, can you reject the company’s claim
Answer:
Claim cannot be rejected
Step-by-step explanation:
We solve this by using hypothesis testing
H0: mean = 40
H1: mean ≠ 40
We have samples of 30, but we were not gives the population standard deviation. We used the t distribution
T score = 39.2-40/(7.5/√30)
= -0.5842
Degree of freedom = 30-1 = 29
Then p value = 0.5636
In conclusion, we fail to reject the null hypothesis since 0.5636 > 0.01 significance level.
So company's claim cannot be rejected
Nisha did the work below to solve an equation.
Step 1 7b+3.2b-5=18.92
Step 2 10.2b-5=18.92
Step 3 5.2b= 18.92
Step 4 b=3.64.
In which step did Nisha make her first error?
Step 1
Step 2
Step 3
Step 4
Answer:
Step 3.
Step-by-step explanation:
When 10.2b - 5 = 18.92, you cannot combine the unlike terms together on the left side to get 5.2b. Instead, add 5 to both sides:
10.2b = 18.92 + 5 = 23.92.
Answer: step 3
Step-by-step explanation:
Rosy has 16 pencils and 24 erasers. She is putting together packets that will have an equal number of pencils and erasers in each packet. If Rosy uses all of the pencils and erasers, what is the maximum number of packets she can make?
A.
2
B.
4
C.
8
D.
48
Answer: It's A. 2.
Step-by-step explanation:
Answer:
its not a
Step-by-step explanation:
What do I do?????????
Answer:
7
Step-by-step explanation:
So its three girls and each of them get the same amount. All you really have to do is divide 21 by 3 which is 7.
They each get to spend $7.
Help Please, im stuck on this question.
Answer:
irrational
Step-by-step explanation:
3/4 + sqrt(2)
3/4 is rational
sqrt(2) is irrational
The sum of a rational and an irrational number is irrational
Lines a, b, c, and d are distinct lines in the same plane. Decide if lines a and d are parallel, perpendicular, or if there is not enough information
Answer:
A. Parrellel
Step-by-step explanation:
it is parrellel because if you look between b and c you can
see that it is a parrellel line
Which product is positive?
Answer:
we need to see the product to be able to help you!
I’ll mark brainliest please help with all and leave a small explanation! :)
Answer:
A y=6 x= 3
B y=4 x= 2
C y=6 x= 2
D x= 4 y= -2
Step-by-step explanation:
you need to add the numbers on and look how many once u do thag u can see the pattern it makes
The weighted mean of the variables 2,5,8,10 with weights 1,3,1,2 is...
6.2
O 6.4
O 1.4
which one ?
Drag the item from them item bank to its corresponding match
Will mark brainless
Answers, in order:
1. Acute
2. Congruent
3. Supplementary angles
4. Vertical angles
5. Adjacent angles
6. Adjacent supplementary angles
7. Alternate interior angles
8. Alternate exterior angles
9. Consecutive interior angles
10. Corresponding angles
11. Straight angle
11) It takes you 15 minutes to frost a 2 layer cake. You and a friend have 100 1 point
cakes to frost for the church bake sale. How many hours will it take the two
of you to frost all of the cakes if you work at the same time rate? Hint: It
takes you 15 minutes to frost one cake, you can frost 4 cakes in 1 hr. *
B. 8 hours
O c. 12.5 hours
Answer:
12.5 hours
Step-by-step explanation:
100/4=25
25/2=12.5
Find the distance across the bridge
Answer:
32.5 ft
Step-by-step explanation:
Answer:160
Step-by-step explanation:
I think because it shows 160 feet all the way down as the 32 and 20 are only the height of the bridge
What is the effect on the graph of f(x) = x2 when it is transformed to h(x) = 2 x2 + 15?
Answer:
B
Step-by-step explanation:
The effect on the graph of f(x)=x² when it is transformed to h(x)=2x²+15 is the graph of f(x) is vertically streched by 2 and moved up by 15 unit.
How does the transformation of a function happen?The transformation of a function may involve any change.
Usually, these can be shifted horizontally (by transforming inputs) or vertically (by transforming output), stretched (multiplying outputs or inputs) etc.
If the original function is y = f(x), assuming the horizontal axis is the input axis and the vertical is for outputs, then:
Horizontal shift (also called phase shift):
Left shift by c units, y=f(x+c) (same output, but c units earlier)
Right shift by c units, y=f(x-c)(same output, but c units late)
Vertical shift
Up by d units: y = f(x) + d
Down by d units: y = f(x) - d
Stretching:
Vertical stretch by a factor k: y = k × f(x)
Horizontal stretch by a factor k: y = f(x/k)
Given two functions, f(x) and h(x). Also, the function f(x) = x² is transformed to form h(x) = 2x² + 15. Therefore, we can write the transformation as,
f(x) vertically streched by a factor of2 first, Therefore,
g(x) = 2f(x)
= 2x²
Now, the function g(x) is moved up by 15 units, therefore,
h(x) = g(x) + 15
= 2x² + 15
Hence, the effect on the graph of f(x)=x² when it is transformed to h(x)=2x²+15 is the graph of f(x) is vertically streched by 2 and moved up by 15 unit.
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please help me<3
i will give brainliest to the right answer
Answer:
26.5
Step-by-step explanation:
Because the sales is $530 and the commission rate is 5%, the commission would be 5% of the sales, which would be $26.5
what's the area of the quadillateral
Answer:
The area of the quadillateral is 360 degree.
Step-by-step explanation:
Hope this helped!
Have an amazing day!
Look at this table:
х
у
-19
2
2
11
8
16
Is this relation a function?
yes
no
Answer:
The answer is No
Step-by-step explanation:
Answer:
no because it has two of the same x values
1 On average, Shawnte drinks 2 of a 6-ounce glass of water in hour. How much water 3 does she drink in an hour?
Answer:
3/4 of a 6-ounce glass
Step-by-step explanation:
Given time = 2/3 of hour
As hour = 60 min
= 120/3
= 40 mins
So,
40 mins: water in take is 3 ounce
1 minute: water in take is 3/40
60 mins: water in take is (3/40) x 60 = 4.5 ounce
A random Gaussian process x has a mean of 2.5 and variance of 0.36. Calculate the probability of the random variable having a value less than 3.
Answer: 0.79758
Step-by-step explanation:
Given that :
Mean (m) = 2.5
Variance = 0.36
Thw standard deviation = sqrt(variance) = sqrt(0.36) = 0.6
The probability of the random variable having a value less than 3 is obtained by:
P(x < 3)
Using the relation to obtain the standardized Zscore :
Z = (x - m) / s
Z = (3 - 2.5) / 0.6
Zscore = 0.8333333
p(Z < 0.833) = 0.79758 ( Z probability calculator)
7.) Caleb ran 240 yards. Which answer choices are equivalent to the distance
he ran?
A. 20 inches
B. 2,880 inches
C. 8,640 inches
D 80 feet
E 720 feet
Answer:
720 feet
Step-by-step explanation:
If you convert 240 yards to feet you get 720 feet. You're welcome! :)
Find does angles
Help pls I have 15 min only .
Answer:
22 for x 45 for 4x+3 36 for 3x+2
Step-by-step explanation:
Trust me this is easy
Answer:
4x+2 =90°
3x+2=68°
x=22
Step-by-step explanation:
The interior angles of a triangle always add up to 180° so you will add the angles together and set them equal to 180° to solve for x. You will find that x should be equal to 22. Plug 22 into each equation to find the angle measure.
What is the vertex of the following: y=1/4x^2+2x+6
Answer:
Yea i definitly just lost brain cells
Step-by-step explanation:
HELP PLEASE I REALLY NEED IT
Answer:
1.5
Step-by-step explanation:
de acuerdo con la siguiente figura calcula el ancho del río y la distancia del árbol a la lancha.
Solve the equation using the distributive property and properties of equality. 1/2x(X+6)= 18
What is the value of x?
Answer:
x equals to 4
Step-by-step explanation:
because x is a coefficient of the bracket
8 is what percent of 24?
What is 63% of 130?
36 is 15% of what number?
A farmer decides to sell 32 pounds of his small 96 pound potato crop. What percent of the crop did he sell?
A university has 480 female students. This represents 64% of the student body. How many students are enrolled in the university?
Answer:
1, 33.3
2, 81.9
3, 240
4, the farmer sold 33.3 of his crops
5, 750 students are enrolled.
Answer:
1. 8 is 33.3333333% of 24. 2. 63% of 130 is 81.9. 3. 36 is 15% of 240. 4. 30.72% of crops. 5. 750 students
Step-by-step explanation:
Hope this helped you!! Give brainliest.