Answer:
[tex]x1=\frac{49+\sqrt{2429}}{14} \\x2=\frac{49-\sqrt{2429}}{14} \\[/tex]
Step-by-step explanation:
[tex]x^2-7x-\frac{1}{7} =0\\7x^2-49x-1=0\\D=b^2-4ac=(-49)^2-4*7*(-1)=2429\\x1=\frac{49+\sqrt{2429} }{14} \\x2=\frac{49-\sqrt{2429} }{14} \\[/tex]
Steve is recording the temperature of an object on Celsius and Fahrenheit scales. Relationship between the two scales is given by F = 1.8 ⋅ C. Steve will plot the Celsius readings along the y-axis and the Fahrenheit readings along the x-axis.
True or false?
Answer: FALSE
Step-by-step explanation:
Mr. Josey is tasked with cutting the grass this weekend. He can cut 1/4 of the yard in 20 minutes. How long will it take to cut the entire yard?
9. Find the sum of the first 6 terms of the sequence: –3, 1, 5, 9, . . . options: A) 25 B) 48 C) 42
Answer:
C. 42.
Step-by-step explanation:
This is an arithmetic sequence with common difference d = 4 and first term a = -3.
Sum of n terms = (n/2)[2a + (n - 1)d]
Sum of six terms = (6/2)[2(-3) + (6 - 1)4]
= 3 * (-6 + 20)
= 42.
Answer:
C) 42
Step-by-step explanation:
Given is an Arithmetic Sequence, where
First term a = - 3
Common Difference d = 1-(-3)= 4
n = 6
[tex]S_6=? \\ \\ \because \: S_n = \frac{n}{2} \{2a + (n - 1)d \} \\ \\ \therefore \: S_6 = \frac{6}{2} \{2 \times ( - 3) + (6 - 1)4 \} \\ \\ \therefore \: S_6 = 3 \{ - 6 + 20\} \\ \\ \therefore \: S_6 = 3 \times 14 \\ \\ \huge \red{ \boxed{ \therefore \: S_6 = 42}}[/tex]
I NEED HELP ASAP
A square and a rectangle are modeled below. The perimeter of both shapes is equivalent. Create
the equation and solve for x.
Answer:
let side of square= x
breadth of rectangle= side if square= x
length of rectangle= y
perimeter of both are equal, so
4x= 2(y+x)
4x= 2y+2x
2x=2y
x=y
Help me plz It’s Algebra 1
Answer: Constant
Step-by-step explanation: It is a straight horizontal line with no dips or curves, so it is constant.
Hope this helps!
Please mark Brainliest!
Answer:
Constant
Step-by-step explanation:
It must be constant because the line is neither increasing or decreasing
Complete the sentences to make true statements 6 is 100 times 0.06 is 10 times 60 is 1/100 of
Answer:
6 is 100 times 0.06
0.06 is 10 times 0.006
60 is 1/100 of 6,000
Step-by-step explanation:
Since 6/100 is equal to 0.06, we can say that 6 is the result of multiplying 0.06 by one hundred (0.06 x 100 = 6).
On the other hand, since 0.06 / 10 is equal to 0.006, it is correct to say that 0.006 x 10 is equal to 0.06 (0.006 x 10 = 0.06).
Finally, 60 is one hundredth of 6000, since multiplying 60 x 100 the result is 6,000 (6,000 / 100 = 60).
6 2/3÷1/5 Express your answer as a mixed number in simplest form. Enter your answer in the box.
Answer:
33 1/3
Step-by-step explanation:
1. First, you want to make 6 into a fraction with a bottom/denominator of 3 to make adding 6 and 2/3 easier. So, to make 6 into a fraction with a denominator of 3 , you multiply 6 by 3 to get 18. The 18 is the numerator (top of the fraction) and 3 is the denominator (the bottom). So now you have 18/3+2/3 divided by 1/5.
2. Now, add the 18/3 and the 2/3 to get 20/3 divided by 1/5.
3. After this, you want to divide. To divide fractions, you use Keep, Change, Flip (KCF). To do this, keep the 20/3 the same, change the division sign to multiplication, and flip the 1/5 to 5/1. So, now you have 20/3 multiplied by 5/1.
4. Simplify this by multiplying 20 by 5 and 3 by 1 to get 100/3.
5. Now we have to create 100/3 into a mixed number. To do this, we know that 33 multiplied by 3 is 99, which is as close as we can get to 100 without going over. This means that we can make 100/3 into 33 and 1/3.
Hope this helps! :) If you could give me Brainliest that would be super helpful!
The mixed fraction is 33 1/3.
What is mixed fraction?A fraction represented with its quotient and remainder is a mixed fraction.
Given:
6 2/3÷1/5
On further solving the given expression
=20/3 ÷1/5
Now, division of fraction is not possible
so,
=20/3 * 5/1
=100/3
=33 /13
Hence, the mixed fraction is 33 1/3.
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The sick days of employees every two years in a company are normally distributed with a population standard deviation of 7 days and an unknown population mean. If a random sample of 20 employees is taken and results in a sample mean of 21 days, find a 95% confidence interval for the population mean.
Step-by-step explanation:
Let [tex]$X_1, X_2, X_3,$[/tex] . . . ,Xn be the random sample of n employee's sick days. It is given that the random samples follows the Normal distribution along with standard deviation of 7 days. Let
[tex]X_i\sim N(\mu ,7)[/tex]
[tex]\bar{X} =\frac{1}{n}\Sigma X_i\sim N(\mu,\frac{7}{\sqrt n})[/tex]
or [tex]Z=\frac{\bar{X}-\mu}{7 /\sqrt n} \sim N(0,1)[/tex]
So,
[tex]P(-Z_{\alpha /2} \leq Z\leq Z_{\alpha /2} ) = 1- \alpha[/tex]
[tex]P(-Z_{\alpha /2} \leq \frac{\bar{X}- \mu}{7 / \sqrt n}\leq Z_{\alpha /2} ) = 1- \alpha[/tex]
[tex]P(\bar{X}-\frac{7}{\sqrt n} Z_{\alpha / 2} \leq \mu \leq \bar{X}+\frac{7}{\sqrt n} Z_{\alpha / 2} ) = 1- \alpha[/tex]
Therefore, the confidence interval of the population mean for α = 0.05 is
= [tex]P(\bar{X}-\frac{7}{\sqrt n} Z_{\alpha / 2} , \bar{X}+\frac{7}{\sqrt n} Z_{\alpha / 2} )[/tex]
= [tex]P(21-\frac{7}{\sqrt 20} Z_{0.05 / 2} , 21+\frac{7}{\sqrt 20} Z_{0.05 / 2} )[/tex]
= (17.93, 24.07)
Solve for E.
h=E/mg
Answer:
hmg = E
Step-by-step explanation:
Step 1: Write equation
h = E/mg
Step 2: Multiply both sides by mg
hmg = E
Find the perimeter of the shape below. Show your work!! Use 3.14 as an approximation for pi. Round solution
to nearest hundreth.
12 cm
7 cm
Answer:
The perimeter of the shape below is 44.48cm
Step-by-step explanation:
To calculate the perimeter of this figure we have to add
7cm + 12cm + 7cm + ( perimeter of semicircle)
To calculate the perimeter of the semicircle we have to use the following equation
d = 12cm
r = d/2 = 12cm/2 = 6cm
c = perimeter of semicircle
r = radius = 6cm
π = 3.14
c = π * r
we replace with the known values
c = * 3.14 * 6cm
c = 18.84cm
The perimeter of the semicircle is 18.84cm
Now that we have this value we can calculate the perimeter of the figure
7cm + 12cm + 7cm + ( 18.84cm ) = 44.48cm
The perimeter of the figure is 56.84 cm
What is the area of the rectangle?The formula for area is equal to the product of the length and breadth of the rectangle. Whereas when we speak about the perimeter of a rectangle, it is equal to the sum of all its four sides.
Given here: A semicircle on top of the rectangle with dimensions 12, 7 cm respectively .
Thus perimeter of the figure = perimeter of semi circle+ perimeter of rectangle
∴ 3.14×6+2(12+7)=56.84 cm
Hence, The perimeter of the figure is 56.84 cm
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at home any hours of service do repair service s cost the same which equation could you use to solve
Answer:
how many hours times repair service
Step-by-step explanation:
what is 5 divided by 50
Answer:
50 divided by 5: 10.
5 divided by 50: 0.1
Step-by-step explanation:
Here we will show you step-by-step with detailed explanation how to calculate 50 divided by 5 using long division.
Before you continue, note that in the problem 50 divided by 5, the numbers are defined as follows:
50 = dividend
5 = divisor
Step 1:Start by setting it up with the divisor 5 on the left side and the dividend 50 on the right side.
Step 2:The divisor (5) goes into the first digit of the dividend (5), 1 time(s). Therefore, put 1 on top.
Step 3:Multiply the divisor by the result in the previous step (5 x 1 = 5) and write that answer below the dividend.
Step 4:Subtract the result in the previous step from the first digit of the dividend (5 - 5 = 0) and write the answer below.
Step 5:Move down the 2nd digit of the dividend (0)
Step 6:The divisor (5) goes into the bottom number (0), 0 time(s). Therefore, put 0 on top.
Step 7:Multiply the divisor by the result in the previous step (5 x 0 = 0) and write that answer at the bottom.
Step 8:Subtract the result in the previous step from the number written above it. (0 - 0 = 0) and write the answer at the bottom.
You are done, because there are no more digits to move down from the dividend.
The answer is the top number and the remainder is the bottom number.
Therefore, the answer to 50 divided by 5 OR 5 divided by 50 calculated using Long Division is:
50 divided by 5: 10.5 divided by 50: 0.1Hilda rented a canoe the rental rate is $20 flat fee and 12.50 per hour. She was charged a total of 67.50. Which equation could be used to find h, the number of hours she rented the canoe.
Answer:12.50×20
Step-by-step explanation:
12.50. ×20=67.50
(a) Reuben runs 12 miles in 96 minutes.
How many miles does he run per minute?
miles per minutes?
Answer:
0.125 miles per minute
A company was able to increase its staff from 127 employees to 204
employees. What was the percentage increase in staff? Round your
answer to the nearest tenth.
Which statement is true about this equation? y=-3x^2+4x-11 A. It represents a function only. B. It represents both a relation and a function. C. It represents a relation only. D. It represents neither a relation nor a function.
Answer:
For plato users, the answer would be letter C.
Step-by-step explanation:
A.
It represents neither a relation nor a function.
B.
It represents a relation only.
C.
It represents both a relation and a function.
D.
It represents a function only.
This equation represents both a relation and a function.
Took the test, hope this helps!
B. It represents both a relation and a function.
Is every relation also a function?Note that both functions and relations are defined as sets of lists. In fact, every function is a relation. However, not every relationship is a function. In a function, there cannot be two lists that disagree on only the last element.
Which graph of a relation is also a function?Given the graph of a relation, if you can draw a vertical line that crosses the graph in more than one place, then the relation is not a function. This is a function. Any vertical line will cross this graph at only one point.
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helpooo pleaseeee and thank youu
K is the midpt. of AB.
Its in the middle of AB so its the midpt.
Help Me Please!! The Chilly Fizz Root Beer can was 15.2 cm high. The new can is 0.5 cm shorter. The new can has a diameter of 5.4 cm. What is the volume of the new can? Use 3.14 for the value of π.
First find the height of the cylinder:
15.2 -0.5 = 14.7
The formula for a circle is : V= [tex]\pi r^{2}[/tex] h
V= [tex]\pi (5.4)^{2} (14.7)[/tex] (substitute pi for 3.14)
V= (3.14) (5.4)² (14.7) simplfy
V= 1345.96728
Solve the equation. Then determine whether the equation is an identity, a conditional equation, or an inconsistent equation. 2x+21=7(x+3)-5x
Step-by-step explanation:
this is your answer.........
The equation 2x + 21 = 7(x + 3) – 5x does not have solution that mean inconsistent equation.
What is the solution of the equation?The solution of the equation means the value of the unknown or variable.
The equation is given below.
2x + 21 = 7(x + 3) – 5x
Simplifying the equation, we have
2x + 21 = 7x + 21 – 5x
2x + 21 = 2x + 21
0 = 0
The equation 2x + 21 = 7(x + 3) – 5x does not have solution that mean inconsistent equation.
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The width of a rectangular swimming pool is 12 meters less than the length, and the perimeter is 72 meters. Find its dimensions in meters
Answer:
The dimensions are 24 and 12 meters.
Step-by-step explanation:
W + L + W + L = 72 perimeter
(L-12) + L + (L-12) + L = 72
4L - 24 = 72
4L = 72 + 24 = 96 ====> L = 96%2F4 = 24.
is the population of cats on another island whose cat population was originally 11,000 but is doubling every 14 months. (t is time in months.)
Answer:
P = 11,000(2)^t/11
Step-by-step explanation:
The formula is given as:
P = Po(2)^t/d
Where
Po = Initial population = 11,000
t = time in months
d = doubling time = 11 months
Hence,
P = 11,000(2)^t/11
Hence, the population of cats is given by the equation:
P = 11,000(2)^t/11
Help ASAP pllllllllllsssssssssssssssssss
Answer:
15
Step-by-step explanation:
multiply the 6 by 3 and get 18, so do the same for the top, so 5 x3 = 15
Use the given conditions to write an equation in slope-intercept form. passing through (-2, 0) & (0, 2)
Answer:
Step-by-step explanation:
(2 - 0)/(0 + 2)= 2/2= 1
y - 0 = x + 2
y = x + 2
Select the possible values
Answer:
all exept 1
Step-by-step explanation:
blah blah blah
I got this question wrong. So the 50% is not right. Please help.
Answer:
25%
Step-by-step explanation:
sorry if its wrong but im pretty sure its 25%
the answer is 3/8
give me a brainliest
33/(20-9)
33 divided by (20-9) I need help
Answer: 3
Step-by-step explanation:
To solve, we need to use algebraic properties.
[tex]\frac{33}{(20-9)}[/tex] [parenthesis]
[tex]\frac{33}{11}[/tex] [divide]
3
Find two consecutive even integers such that four times the first equals three times the second
Answer:
1st: 2x
2nd: 2x+2
--------
Equation:
4(2x) = 3(2x+2)
-------
8x = 6x + 6
2x = 6
x = 3
-----
1st 2x = 6
2nd: 2x+2 = 8
Step-by-step explanation:
The two consecutive even integers such that four times the first equals three times the second is 6 and 8.
What is an integer ?An integer is a number which has no decimal part.
According to the given question we have to find two consecutive even integers such that four times the first equals three times the second.
Let, the first even integer to be x.
∴ The second integer will be (x+2). [ As every consecutive even
integers comes after 2 digits]
Now, Four times the first equals three times the second which is
4x = 3(x+2)
4x = 3x + 6.
4x - 3x = 6
x = 6.
∴ The even integer is 6 and the second integer is 8.
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ILL MARK BRAINLIST !!! SHOW WORK
Answer:
8748
Step-by-step explanation:
a^5b^-6
when replacing the variables with their values :
3^5 -6^2
3^5 = 3*3*3*3*3 = 243
(-6)^ 2 = 36
243 * 36 =
8748
2 bracket 2x-2 bracket=12
3) Find the total cost of a $14.50 movie with a 30% markup.
Answer:
18.85
Step-by-step explanation: