Answer:
[tex] {x}^{2} - 72 = 0[/tex]
Step-by-step explanation:
[tex]the \: standard \: form \: a \: quadratic \: equation \:\\ is \:a {x}^{2} + bx + c = 0 \\ \therefore \: {x}^{2} - 20 = 52 \\ {x}^{2} - 20 - 52 = 0 \\ {x}^{2} - 72 = 0[/tex]
This is a very important opinion question. Answer however you want to lol
1. Whats the best burger place, ice cream place, and groceery store you have ever been to?
2. Whats the best sugary treat and where can you buy it.
3. Your favorite word (ex. potato)
Answer:
1. In & Out, Jeremiah's Ice cream, and Costco
2. Circus Peanuts, at a local grocer (Publix, Winn-Dixie)
3. Irrationally
Step-by-step explanation:
solve 6n + 12 - 8n = 22
Answer:
n = -5
Explanation:
6n + 12 − 8n = 22
[ Simplify both sides of the equation ]
6n + 12 − 8n =22
6n + 12 + −8n = 22
(6n + −8n) + (12) = 22 [Combine Like Terms]
−2n + 12 = 22
−2n + 12 =22
[ Subtract 12 from both sides ]
−2n + 12 − 12 = 22 − 12
−2n = 10
[ Divide both sides by -2 ]
-2n / -2 = 10 / -2
n = -5
Answer:
n = -5
Step-by-step explanation:
6n + 12 - 8n = 22
Combine like terms
-2n +12 = 22
Subtract 12 from each side
-2n +12-12 = 22-12
-2n =10
Divide each side by -2
-2n/-2 = 10/-2
n = -5
FIND (-8/3)+(-1/4)+(-11/6)+3/8-3
PLEASE HELP ME......YOU WILL 15 POINTS FOR ANSWERING THIS QUESTION.....
Answer:
-7 3/8
Step-by-step explanation:
The least common denominator of 3, 4, 6, and 8 is 24; converting all of our fractions to that denominator and solving, we have
[tex]-\frac{8}{3}+\left(-\frac{1}{4}\right)+\left(-\frac{11}{6}\right)+\frac{3}{8}-3\\=-\frac{64}{24}+\left(-\frac{6}{24}\right)+\left(-\frac{44}{24}\right)+\frac{9}{24}-3\\\\=\frac{-64+(-6)+(-44)+9}{24} -3\\\\=\frac{-70+(-44)+9}{24} -3\\\\=\frac{-114+9}{24} -3\\\\=\frac{-105}{24}-3 \\\\=\frac{-35}{8}-3\\ \\=-4\frac{3}{8}-3\\\\=-7\frac{3}{8}[/tex]
So our solution is -7 3/8
can anybody spare dome time to help me?
Answer:
y = x² -8x + 16
Step-by-step explanation:
y = (x -4)^2
y = (x -4) * (x -4)
use the FOIL method
y = x*x -4x -4x +16
y = x² -8x + 16
SMART PEOPLE HELP ASAP
Answer:
Step-by-step explanation:
Area of this shape is L*W*H
All dimensions are given, now you just have to multiply it
turn all fractions into improper fractions
10 3/8 = 83/8
1 3/4 = 7/4
2 1/2 = 5/2
[tex]\frac{83}{8}[/tex] * [tex]\frac{7}{4}[/tex] * [tex]\frac{5}{2}[/tex] = ?
= 2905/64 =
app. 45.39
Question 28
Let be an angle in quadrant such that.
Find the exact values of and.
Answer:
see explanation
Step-by-step explanation:
Since Θ is an angle in the third quadrant, then secΘ < 0 and tanΘ > 0
Using the identity
sec x = [tex]\frac{1}{cosx}[/tex] , then
cos x = - [tex]\sqrt{1-sin^2x}[/tex]
= - [tex]\sqrt{1-(-3/5)^2}[/tex] = - [tex]\sqrt{1-\frac{9}{25} }[/tex] = - [tex]\sqrt{\frac{16}{25} }[/tex] = - [tex]\frac{4}{5}[/tex], thus
secΘ = [tex]\frac{1}{-\frac{4}{5} }[/tex] = - [tex]\frac{5}{4}[/tex]
---------------------------
Using the identity
tan x = [tex]\frac{sinx}{cosx}[/tex] , then
tanΘ = [tex]\frac{-\frac{3}{5} }{-\frac{4}{5} }[/tex] = - [tex]\frac{3}{5}[/tex] × - [tex]\frac{5}{4}[/tex] = [tex]\frac{3}{4}[/tex]
The value of sec(x) is (5/4) and tan(x) will be (-3)(4).
What is trigonometry?The branch of mathematics sets up a relationship between the sides and the angles of the right-angle triangle termed trigonometry.
Sine, cosine, tangent, cosecant, secant, and cotangent are some of their names. The adjacent side, opposite side, and hypotenuse side of the right triangle are used to define each of these trigonometric ratios.
The six trigonometric ratios are the source of all fundamental trigonometric identities.
The given value of sin (x) is ( -3 / 5 ). The values of sec(x) and tan(x) will be calculated as below:-
sec(x) = 1 / cos(x)
[tex]cosx = \sqrt{1-sin^2x}[/tex]
[tex]cosx = \sqrt{1-(\dfrac{-3}{5})^2}[/tex]
cos(x) = 4 / 5
sec(x) = 1 / ( 4 / 5 ) = ( 5/ 4)
The value of tan(x) will be calculated as:-
tan(x) = sin(x)/cos(x) = ( -3 / 5 ) / (4 / 5 )
tan(x) = (-3/4)
Therefore, the value of sec(x) is (5/4) and tan(x) will be (-3)(4).
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Dexter mows his law every 12 days and washes his windows every 30 days. He mowed his lawn and washed his windows today.How many days from now will it be until he mows his lawn and washes the windows on the same day
Answer:
60 days
Step-by-step explanation:
To find when the two actions will happen together again, we just need to find the least common multiple of 12 and 30.
To do this, first we factor them in prime numbers:
12 = 2 * 2 * 3
30 = 2 * 3 * 5
Now we choose one of them and add the prime factors that the number chosen does not have from the other.
If we choose 30, we should add a number 2, so 2 * 30 = 60
If we choose 12, we should add a number 5, so 12 * 5 = 60
So after 60 days Dexter will mow his lawn and wash the windows on the same day.
Francine has a piece of wood that is five 5 5/12 feet long she uses three 3 1/4 feet of the wood from a science project how much for just Francine have left.
Answer:
4/3 ft
Corrected question;
Francine has a piece of wood that is five 5/12 feet long she uses three 1/4 feet of the wood from a science project how much for just Francine have left.
Step-by-step explanation:
Given;
Francine has a piece of wood that is five 5/12 feet long.
Total amount of wood T = 5 × 5/12 ft = 25/12 ft
she uses three 1/4 feet of the wood from a science project.
Amount of wood Used U = 3 × 1/4 = 3/4 ft
The amount of wood left equals the total amount of wood minus the amount of wood used;
The amount of wood left L = T - U = 25/12 - 3/4
L = 25/12 - 9/12
L = 16/12
L = 4/3 ft
PLEASE HELP ASAP A group of 8th and 9th graders were surveyed about whether they use social media to communicate with their friends. The results are shown below in the conditional relative frequency table by row. A 4-column table with 3 rows. The first column has no label with entries 8th grade, 9th grade, total. The second column is labeled do not use with entries 0.06, 0.19, 0.38. The third column is labeled use with entries 0.84, 0.81, 0.62. The fourth column is labeled total with entries 1.00, 1.00, 1.00. Which conclusions can be drawn from the results of the survey? Check all that apply. There is no association between using social media and grade level. The probability a student uses social media, given that he or she is in 9th grade, is 81%. A student who is more likely to not use social media is in 8th grade. An 8th grader is more likely to use social media than not. Knowing a student’s grade level does not help determine if he or she uses social media.
Options A, B, D, and E are correct answers such that the probability of the usage of social media by 8th and 9th-grade students is given.
A. There is no association between using social media and grade level.
B. The probability a student uses social media, given that he or she is in 9th grade, is 81%.
D. An 8th grader is more likely to use social media than not.
E. Knowing a student’s grade level does not help determine if he or she uses social media.
What is Probability?Probability is the ratio of the favorable outcomes to the total outcomes.
Given that, a group of 8th and 9th graders were surveyed about whether they use social media to communicate with their friends.
We can see that, there is no relationship between the usage of social media and grade level so, we can say that there is no association between using social media and grade level.
Probability of using social media by a 9th grader is-
P(9) = 0.81 / 1 x 100 = 81%
Probability of using social media by a 8th grader is-
P(8) = 0.84 / 1 x 100 = 84%
We cannot define the usage of social media depending on the grade level.
Thus, Options A, B, D, and E are correct answers.
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The table is attached
Wouldn’t it be angle C?
Answer:
angle F
Step-by-step explanation:
so they want an angle that's on the SAME SIDE as angle D. angle C is on the opposite side of the transversal.
Angle E would be alternate interior, not same side interior.
angle B is supplementary to angle D
therefore, the answer is F
Slope and y-intercept of the function y= -5x+4.
Answer:Slope is -5. y-intercept is 4
Step-by-step explanation:
y=mx+c m=slope y-intercept=c
y=-5x+4
Comparing both equations we m=-5 and c=4 meaning slope =-5 y-intercept=4
Each point on the edge of a circle is equidistant from the center of the circle. The center of a circle is located at (6,3). Which point on the y-axis could be on the edge of the circle of the distance from the center of the circle to the edge is 10
Good evening
Answer:
(0 , 5) and (0 , 11)Step-by-step explanation:
Suppose M(x , y) is a point of the circle of center (6,3) and radius 10 and M is also a point of the y-axis then the coordonates of M should verify these two equations at the same time:
[tex]\left \{ {(x-6)^{2} +(y-3)^2=10^{2} } \atop {x=0}} \right.[/tex]
Then
(0-6)² + (y-3)² = 100
then
36 + (y-3)² = 100
then
(y-3)² = 100 - 36
= 64
then
|y-3| = 8
then
y - 3 = 8 or y - 3 = -8
then
y = 11 or y = 5
then the only points that are on the edge of the circle and on y-axis are:
(0 , 5) and (0 , 11).
:)
Answer:
(0, –5)
Step-by-step explanation:
If you don't see this option there is another option, (0 , 11) is also correct
please help me asap!!!!! 4x^{2} -144
Answer:
x=6
Step-by-step explanation:
First you square root the whole problem to get
2x-12=0
then you add 12 to both sides
2x=12
then you divide both sides by two to get
x=6
What’s the value of x in this equation? -4x=6
Answer: I believe it would be -1.5
Step-by-step explanation: You would divide both sides of the equation by -4 which would give you x = -1.5
Hope this helps!!!
what is the value of x in the equation 3-2x=-1.5
Answer:
3-2x=-1.5
add -3 on both sides
-3+3-2x=-1.5+3
-2x=1.5
x=1.5/-2
Answer:
x= 9/4
Step-by-step explanation:
3 - 2x = -1.5
-2x = -4.5
x = 4.5/2
Simplified x = 9/4
Do 3,4 for 5-8 points.
Answer:
45+46+47
-2+-3+-4
Step-by-step explanation:
The data on ages at which a sample of 35 fathers had their first child show a mean 25.43 and standard deviation 5.19. Define the population parameter of interest in this context.
Answer:
Step-by-step explanation:
A population parameter describes an entire population; a particular characteristic of an entire population. A value that describes the entire population. In this context, the population parameter is looking into the average ages of fathers when they had their first child, but this value is not given. The mean given here is the sample statistic.
Since, the population studied here is a very large population (all fathers), you have a statistic. But sometimes, if the population is very small and groups are small enough to measure, you have a parameter.
May someone please help me
hi buddy i can help you with this
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Answer:
A
Step-by-step explanation:
[tex]3x^2+5x+2=0[/tex]
[tex]x=\dfrac{-5\pm \sqrt{5^2-4(2)(3)}}{6}=\dfrac{-5\pm 1}{6}=-\dfrac{2}{3}, -1[/tex]
Therefore, the answer is choice A. Hope this helps!
Plz Help meee!!!
Factor the Trinomial
x^2+12x+27
Answer:
(x + 9)(x + 3)
Step-by-step explanation:
Factor 27 so that the factors, when combined, will equal 12:
x² + 12x + 27
x 9
x 3
(x + 9)(x + 3) is your answer.
Check: Use the FOIL method. Multiply the first two terms, the outside terms, the inside terms, and then the last two terms. Combine like terms:
(x + 9)(x + 3) = x² + 3x + 9x + 27 = x² + 12x + 27 (√)
~
Answer:
(x+9)(x+3)
Step-by-step explanation:
first of all, you should learn this properly, because you'll have to go back to this over and over again. anyways
you need to find two numbers so that it adds up to 12, but also multiplies to 27.
The numbers 9 and 3 fit the situation
So you add 9x and 3x because it's the same thing as 12x. you're just splitting up the term 12x into two other terms.
so now it looks like x^2 + 9x + 3x + 27. now you factor the first two terms and last two terms
x ( x + 9 ) <---factor of first two terms
3 ( x + 9) <---factor of last two terms
x(x+9)+3(x+9)
you notice that (x+9) is common in both factorized parts
so, you add x and 3 from the outside
and you get (x +3 ) (x+9)
Chris tried to rewrite the expression \left( 4^{-2} \cdot 4^{-3} \right)^{3}(4 −2 ⋅4 −3 ) 3 left parenthesis, 4, start superscript, minus, 2, end superscript, dot, 4, start superscript, minus, 3, end superscript, right parenthesis, cubed. \begin{aligned} &\phantom{=}\left( 4^{-2} \cdot 4^{-3} \right)^{3} \\\\ &=\left( 4^{-5} \right)^{3}&\text{Step } 1 \\\\ &=4^{-2}&\text{Step } 2 \\\\ &=\dfrac{1}{4^{2}}&\text{Step } 3 \end{aligned} =(4 −2 ⋅4 −3 ) 3 =(4 −5 ) 3 =4 −2 = 4 2 1 Step 1 Step 2 Step 3 Did Chris make a mistake? If so, in which step? Choose 1 answer: Choose 1 answer: (Choice A) A Chris did not make a mistake. (Choice B) B Chris made a mistake in Step 1. (Choice C) C Chris made a mistake in Step 2. (Choice D) D Chris made a mistake in Step 3.
Answer: Chris made a mistake in step 2
(It was in Khan Academy)
Answer:
Chris made a mistake in step 2.
Step-by-step explanation:
I was solving this problem just now and I searched it up here. Now I got the answer :)
the perimeter of a circle is 132 calculate its diameter
Answer:
42
Step-by-step explanation:
The perimeter of circle is same as it’s circumference.
Circumference = π * D
132 = 22/7 * D
22D = 7 * 132
22D = 924
D = 924/22
D = 42
Answer:
42.0
Step-by-step explanation:
For this question we are given the circumference of a circle which is 132 and we are asked to find diameter of the circle. We need to utilise one important formula which the circumference of a circle formula
⇒ Circumference of a circle = π × d
We need to make 132 equal to the circumference of a circle formula so then we can work out the diameter by forming an equation to solve for the diameter so,
⇒ Form the equation
→ π × d = 132
⇒ Divide both sides by π to isolate d
→ d = 42.0169049763
The diameter of the circle with a perimeter of 132 is 42.0 to 1 decimal place
Place parentheses around one operation and two numbers to make this equation true. Then solve it, showing all of your steps. 64 - 8 + 12 x 2 + 9 = 188
Answer:
64 - 8 + 12 x (2 + 9) = 188
Step-by-step explanation:
64 - 8 + 12 x 2 + 9 = 188
Putting parentheses around two numbers and one operation:
64 - 8 + 12 x (2 + 9) = 188
Following the BODMAS principle
Solving the bracket or parentheses first
(2 + 9) = 11
64 - 8 + 12 × 11
Then multiplication:
12 × 11 = 132
64 - 8 + 132
Then addition:
-8 + 132 = 124
64 + 124 = 188
Hence the proof
Find the volume of the figure. Use 3.14 for pi.
Answer:
10082.36cm²
Step-by-step explanation:
The formula for volume of a cone: V = [(3.14) r²](h/3)
Steps:
1. Find the value of the radius: 1/2 of the diameter (26/2) = 13cm
2. Find the value of the height: 31cm
3. Plugin: [(3.14) 13²] (31/3)
Solve for the volume of the cone:
a) 13² = 169
b) 169(pi) = 530.66
c) 530.66 (31/3) = 530.66 (10.3333)
Volume of cone: 5483.31
The formula for volume of hemisphere is 1/2[(4/3)3.14{r³}]
Steps:
1. Find the value of the radius: 13cm
2. Solve for the volume of the hemisphere
1. 13x13x13 = 2197
2. 2197 (3.14) = 6898.58
3. (4/3) 6896.58 = 9198.1067
4. (1/2) 9198.1067 = 4599.05
Add the two volumes together:
4599.05+5483.31 = 10082.36cm²
This took forever since I used the google calculator, but it got done after forever! Hope this helps!
The Volume of the figure is 10,082.53 cm³.
What is Volume?Volume is a three-dimensional quantity used to calculate a solid shape's capacity. That means that the volume of a closed form determines how much three-dimensional space it can fill.
Volume is a three-dimensional quantity used to calculate a solid shape's capacity.
We have a cone surmounted by Hemisphere.
So, Volume of Figure
= Volume of Cone + Volume of Hemisphere
= 1/3 πr²h + 2/3 πr³
= 1/3 x 3.14 x 13 x 13 x 31 + 2/3 x 3.14 x 13 x 13 x 13
= 5,483.48 + 4,599.05
= 10,082.53 cm³
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square root of 52 to the nearest 100th
Answer:
7.211
Step-by-step explanation:
Hong reads 18 chapters of a book in 6 hours. What is his rate in chapters per hour?
Answer:
3 chapters/hour
Step-by-step explanation:
18 chaps. / 6 hours =3
How do you write 7.01 in scientific notation?
Answer:
7.01×10'0
snap. Jona_Fl16
Answer: 7.01×10^0
Step-by-step explanation:
7.01×10^0=7.01
7.01*1
7.01
Solve the following system of equations using elimination (addition)
5x - 6y = - 32
3x + 6y = 48
Answer:
x = 2
y = 6 1/3
Step-by-step explanation:
5x - 6y = -32
3x + 6y = 48
-----------------
8x = 16
x = 2
5(2) - 6y = 48
10 - 6y = 48
-6y = 48 - 10
-6y = 38
y = 6 1/3
How long is Y Z?
Any help will be appreciated thank you
Answer:
This is a special triangle. It is a 30 60 90 degree triangle. I would google more about it. I don't have much more time to work it out. I hope this helps. Have a great rest of your day!
The student council sold 362 rolls of wrapping paper for a fundraiser. If they raised $4,706, what was the cost of one roll of wrapping paper
Answer:
13
Step-by-step explanation:
Answer:
13
Step-by-step explanation:
