Answer:
[tex] {x} = - 4 \pm \: 2\sqrt{5} [/tex]
Step-by-step explanation:
[tex] {(x + 4)}^{2} - 4 = 16 \\ \\ \implies \: {(x + 4)}^{2} = 16 + 4 \\ \\ \implies \: {(x + 4)}^{2} = 20 \\ \\ \implies \: {(x + 4)} = \pm \: \sqrt{20} \\ \\ \implies \: {x + 4} = \pm \: 2\sqrt{5} \\ \\ \implies \: {x} = - 4 \pm \: 2\sqrt{5} [/tex]
if 10% of my number is 60 what is 100%
Answer:
600
Step-by-step explanation:
10x60=600
since its 10% you multiply by 10 to get 100%
find the mean of data set between 1-26?
Answer:
13
Step-by-step explanation:
13 is the number in the very middle of the set.
Another way to find this is to add up all numbers and divide by the total in the data set which in this case would be 26
The mean of the following data is 20.7. Find the value of p 15 25 25 D 3 10 25 7
Answer:
the answer to that question is 5.314
Need answer asap pls
Step-by-step explanation:
Check out the attached photo
what is the color of the sky
Answer:
Step-by-step explanation:
Reflection of the ocean, blue
Write the expanded notation for 2,846.079. State the letter of the correct answer.
Answer:
2000+800+40+6+0.07+0.009
Step-by-step explanation:
Maybe?
The expanded form of the given term 2,846.079 can be written as; (2000+800+40+6+0.07+0.009)
How does scientific notations work?The number is written in the form [tex]a \times 10^b[/tex] where we have[tex]1 \leq a < 10[/tex] The number b shows the order, which is the most important figure for which scientific notation is used. It tells us how much order large or small a value is in powers of 10.
We have to write the expanded notation for 2,846.079.
The expanded form of the given term is;
2,846.079 = 2000+800+40+6+0.07+0.009
Hence, The expanded form of the given term 2,846.079 can be written as; (2000+800+40+6+0.07+0.009)
Learn more about scientific notation here:
https://brainly.com/question/3112062
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The diameters of two circles are 12 and 9 what the difference in square centimeters between the areas of the two circles
Step-by-step explanation:
Area of circle= π(d/2)²For 1st Circle, A1= 36π
For 2nd Circle, A2= 81π/4
A1-A2 = 63π/4
π = 22/7
=49.5unit²
The differences in the areas of circles in square centimeters is 49.455
Formula for area of circle
[tex]A = \pi r^{2}[/tex]
Where,
A is the area of circle
r is the radius of circle
and π = 3.14
What is radius of a circle ?Radius of circle is the distance from the center of the circle to any point on it's circumference. It is calculated as :
[tex]Radius = \frac{diameter}{2}[/tex]
According to the given question
Diameter of one circle is 12cm and diameter of another circle 9cm.
Area of circle with diameter 12 cm = [tex]\pi (\frac{12}{2} )^{2}[/tex] = [tex](3.14)(6)^{2}[/tex] = 113.04 square cm
Area of circle with diameter 9 cm = [tex]\pi( \frac{9}{2} )^{2} =(3.14)(4.5)^{2} = 63.585[/tex] square cm
Therefore,
The difference between the areas of two circles = (113.04 -63.585) square centimeter = 49.455 square centimeter.
Learn more about the area of circle here:
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Help help help math math
Answer:
[tex]x > - 14[/tex]
Step-by-step explanation:
Since the dot in the illustration isn't filled in, that means that x can not be a part of -14, which means it is greater than 14
Jessica is working on a craft project for school. She is using 2 pieces of ribbon. She has 1/8 of a yard of blue ribbon and 3/4 of a yard of red ribbon. Plot the amount of each ribbon she has on a number line.
Please answer this question fast!! xx
Answer:
So, draw a number line on a piece of paper. Then, divide it into eight parts and graph the points (I did them in the colors of the ribbons)
1. The sum of Teresa's and Cathy's weight is
118 pounds. Teresa weighs 26 pounds more
than Cathy. If Teresa's weight is T and Cathy's
weight is C, which of these systems of
equations best represents this relationship?
A) T+C = 118
T= 26
B) T+C = 118
T +26=C
C) T+C=64
T-C= 26
D) T=C + 118
T=C+26
E) None of the above
Answer:
d
Step-by-step explanation:
E is ththe answer
the first equation should be T + C = 118 and the second equation should be C + 26 = T
none of these equations are correct
Simplify the expression 3x(x – 12x) + 3x2 – 2(x – 2)2. Which statements are true about the process and simplified product? Select three options.
simplify the expression.
3/[tex]\sqrt{7}-\sqrt{2}[/tex]
[tex]\dfrac{3}{\sqrt 7- \sqrt 2}\\\\\\=\dfrac{3 \left( \sqrt 7+ \sqrt 2\right)}{\left(\sqrt 7- \sqrt 2 \right)\left( \sqrt 7+\sqrt 2\right)}\\\\\\=\dfrac{3 \left( \sqrt 7+ \sqrt 2\right)}{\left(\sqrt 7 \right)^2 - \left(\sqrt 2 \right)^2 }\\\\\\= \dfrac{3 \left( \sqrt 7+ \sqrt 2\right)}{7-2}\\\\\\=\dfrac{3 \left( \sqrt 7+ \sqrt 2\right)}5[/tex]
the car is traveling at 80 kilometers per hour. what is the slope of the line?
Answer: y=80x
Step-by-step explanation:
It should be 80x ....try that
A student used the following steps to show that -3(x+4) - 5(x + 3) is equivalent to - 8x + 27:
Step 1: -3x + 12 -5x + 15 - -
Step 2: -3x + – 5x + 12 + 15
- Step 3: -8x + 27
The student made a mistake. In which step did the student first make a mistake, and what is a correct expression for that step?
Answer:
Step 1
-3x -12-5x-15 is the correct expression.
Put the following in order from least to greatest 0.8, 1/10, 3/100, 0.91
Answer:
[tex] \frac{ 3 }{100} < \frac{1}{10} < 0.8 < 0.91[/tex]
Step-by-step explanation:
0.8=0.8
1/10=0.1
3/100=0.03
0.91=0.91
Hence required arrangement
0.03,0.1,0.8,0.91
I hope it helped you
Answer:
I'm pretty sure its 0.03,0.1,0.8,0.91
Step-by-step explanation:
i did the assignment too :)
please help this is very important
4. sector angle = 120°
area of sector = 120/360* π*r^2
= 1/3 π *36 = 12π = 37.69 cm^2
area of isosceles ∆ = .5*36*sin 120 = 15.58cm^2
area of shaded portion = 37.69 - 15.58= 22.11 cm^2
5. sector area = 90/360 * π * 64 = 16π ft^2
area of right ∆ = 1/2*64= 32ft^2
shaded portion area = 16π-32 = 18.26ft^2
6. sector area = 60/360 π 36 = 6π m^2
triangle area = √3/4 * 36 = 9√3 m^2
shaded area = 18.84 - 9√3 = 3.26 m^2
7. sector area = 45/360*π*18^2 = 40.5 π yd^2
8. sector area = 90/360*π*16 = 64π cm^2
9. sector area = 60/360 * π * 169 = 28.16π m^2
10. sector area = 135/360*π*64 = 24π cm^2
1. circle area = π*5.5^2 = 30.25π cm^2
2. circle area = π*0.85*.85 = .7225π ft^2
3. circle area = π * 1/9 in^2
48
The two equations shown below represent different functions.
3
Function P: y = = +2
Function Q: y = x+2
1
: y
Identify each function as linear or nonlinear. State a reason why each function is
linear or nonlinear.
Function P
The function Q is a linear function because the function Q has a constant rate
How to identify the function types?The functions are given as:
Function P: y = 3/x + 2Function Q: y = 1/3x + 2A linear function is represented as:
y = mx + b
Where m represents the slope, and b represents the y-intercept
By comparing y = mx + b to the functions, we can see that the function Q is a linear function.
This is so because the function Q has a constant rate, while the function P does not have a constant rate
Read more about linear functions at:
https://brainly.com/question/4025726
Im having troubles with the last question, any help?
the x-intercepts are simply found by setting y = 0 and then solving for "x", now, this equation doesn't factor in nice integers, so let's plug it in the quadratic formula.
[tex]\stackrel{f(x)}{0}~~ = ~~4x^2+10x-7 \\\\[-0.35em] ~\dotfill\\\\ ~~~~~~~~~~~~\textit{quadratic formula} \\\\ 0=\stackrel{\stackrel{a}{\downarrow }}{4}x^2\stackrel{\stackrel{b}{\downarrow }}{+10}x\stackrel{\stackrel{c}{\downarrow }}{-7} \qquad \qquad x= \cfrac{ - b \pm \sqrt { b^2 -4 a c}}{2 a} \\\\\\ x= \cfrac{ - (10) \pm \sqrt { (10)^2 -4(4)(-7)}}{2(4)}\implies x=\cfrac{-10\pm\sqrt{100+112}}{8}[/tex]
[tex]x=\cfrac{-10\pm\sqrt{212}}{8}\implies x=\cfrac{-10\pm 2\sqrt{53}}{8}\implies x=\cfrac{-5\pm \sqrt{53}}{4} \\\\\\ x= \begin{cases} \frac{-5 + \sqrt{53}}{4}\\\\ \frac{-5 - \sqrt{53}}{4} \end{cases}\qquad \qquad x\approx \begin{cases} 0.57\\ -3.07 \end{cases}[/tex]
Angles and Parallel Lines
Answer:
a = 6
b = 25
Step-by-step explanation:
As alternative angles in a parallel line are equal to each other,
5a = 3a + 12
So, now we can find the value of a by making "a" the subject.
5a - 3a = 12
2a = 12
Divide both sides by 2.
a = 6°
And now let us find the value of b.
We know that interior angles in a triangle are added up to 180°.
So,
2b + 4b + 3a + 12 = 180
We can replace a with 6 and then we can make "b" the subject to find the value of b.
Let us solve it now.
2b + 4b + 3 × 6 + 12 = 180
6b + 18 + 12 = 180
6b + 30 = 180
6b = 180 - 30
6b = 150
Divide both sides by 6.
b = 25°
The cost of a mathematics textbook is 25 dollars.
A school gets a 15% discount because it buys 60 books
Calculate the total reduction in price.
Help help help math math math
Hi!
Slope Formula[tex]\cfrac{y2-y1}{x2-x1}[/tex]
Y2 and Y1 represent the y-coordinates, and X2 and X1 represent the x-coordinates.
We are given the points:
(4, 6) and (7, 12)
Using this formula, we plug in the given points like so:
[tex]\cfrac{12-6}{7-4}[/tex]
Now we can simplify:
[tex]\cfrac{12-6}{7-4}=\cfrac{6}{3} =2[/tex]
Therefore, your final answer is:
[tex]\cfrac{12-6}{7-4}=2[/tex]
For a similar problem, see:
https://brainly.com/question/16613294
https://brainly.com/question/26951413
Answer:
12 - 6
--------- =2
7 - 6
Step-by-step explanation:
I will give Brainliest!!!
A collenge student takes out a $7500 loan from a bank. Assuming the student has not started paying back the money, how much does the student owe after 2 years, if the bank charges 3.8% interest each year?
Answer:
$7897.5
Step-by-step explanation:
..............
A cylinder has a height of 15 inches. Its volume is 3,014.4 cubic inches. What is the radius of the cylinder?
Use ≈ 3.14 and round your answer to the nearest hundredth
Answer:
Radius = 8in
Step-by-step explanation:
[tex] \hookrightarrow \sf \: V = {\pi r}^{2} h[/tex]
Where,
v = 3014.4h = 15π = 3.14⇢ 3014.4 = (3.14)(r²)(15)
⇢ 3014.4 = (r²)(47.1)
⇢ 3014.4 = 47.1r²
⇢ 3014.4/47.1 = 47.1r²/47.1
⇢ 64 = r²
⇢ r = √64
⇢ r = 8
[tex] \therefore [/tex] The value of radius is 8 inches
Solve for X: Enter your answer in the box.
Answer: 6
Step-by-step explanation:
Enter the correct answer in the box.
Write the expression 12-2 in simplest form.
Answer:
12-2 is 10
Step-by-step explanation:
Does the point make the equation true ?
Answer:
(3, 4) does not make y = .5x + 1.5 true.
Step-by-step explanation:
y = .5x + 1.5
(3, 4)
Substitute 3 for x and 4 for y and see if the two sides of the equation are equal to each other.
4 = .5(3) + 1.54 = 1.5 + 1.54 = 3Since 4 ≠ 3, the point (3, 4) does not make the equation y = .5x + 1.5 true.
Kate did a survey to find the average hand span of the students in her class. She asked the following question:
What is the hand span of each student in the class?
Is Kate's question a statistical question, and why or why not?
Yes, because it asks a question that can be answered correctly
Yes, because it anticipates variability in students' hand spans
No, because it does not ask a question that can be answered correctly
No, because it does not anticipate variability in students' hand spans
. Paul bought 5 books for $30.85. About how much did each book cost? .
ESTIMATE UR ANSWER PLS AND SHOW UR WORKK!
Answer:
Each book cost about $6.20 per book, or in more general terms, $6 per book.
Step-by-step explanation:
If you round the $30.85 total of 5 books to $31 and divide that by 5, you get an average cost of $6.20 per book.
If you need a more general answer, you could round the $30.85 total of 5 books to $30 and divide that by 5, you get an average cost of $6 per book.
5 Lian put $3,500 into an investment
account that pays 2% interest compounded
annually. If she makes no additional
deposits or withdrawals, which amount is
closest to the total interest Lian will earn on
this investment at the end of 5 years?
[tex]~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$3500\\ r=rate\to 2\%\to \frac{2}{100}\dotfill &0.02\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{annually, thus once} \end{array}\dotfill &1\\ t=years\dotfill &5 \end{cases}[/tex]
[tex]A=3500\left(1+\frac{0.02}{1}\right)^{1\cdot 5}\implies A\approx 3864.28~\hfill \underset{earned~interest}{\stackrel{3864.28~~ - ~~3500}{\approx 364.28}}[/tex]
Solve for x.
Please help.
Answer: 4?
Step-by-step explanation: im prob wrong
Answer:
3.5
Step-by-step explanation: