Answer:
hello : x = - 4 or x = - 8
Step-by-step explanation:
x²+12x+32=0
(x² +2(6)(x) +6²) - 6² +32 = 0....by completing the square
(x + 6 )²- 2² = 0
(x+6-2)(x+6+2)=0 by idetity : a² - b² = (a - b ) ( a + b )
(x+4)(x+8) =0
x+4=0 or x+8= 0
x = - 4 or x = - 8
Answer:
x = - 8, x = - 4
Step-by-step explanation:
Given
x² + 12x + 32 = 0 ( subtract 32 from both sides )
x² + 12x = - 32
To complete the square
add (half the coefficient of the x- term)² to both sides
x² + 2(6)x + 6² = - 32 + 6²
(x + 6)² = - 32 + 36 = 4
Take the square root of both sides
x + 6 = ± 2 ( subtract 6 from both sides )
x = - 6 ± 2
Hence
x = - 6 - 2 = - 8
x = - 6 + 2 = - 4
B- 7/4= -2/3 What is the B?
Answer:
13/12
Step-by-step explanation:
B - 7/4 = -2/3
B = -2/3 + 7/4
B = 13/12
In a hexagon, all but one of the angles have a measure of 110. What is the measure of the remaining angle?
Answer:
Part 1) The measure of the remaining angle is [tex]60\°[/tex]
Part 2) Is a 10 sided polygon (decagon)
Part 3) Yes, is possible for a triangle to have angles measures of 1°, 2° and 177°
Step-by-step explanation:
Part 1)
we know that
The sum of the measures of the interior angles of a polygon is equal to the formula
[tex]S=(n-2)180\°[/tex]
where
n is the number of sides of polygon
In this problem we have a hexagon
so
n=6 sides
Substitute
[tex]S=(6-2)180\°=720\°[/tex]
Let
x-----> the measure of remaining angle of the hexagon
[tex]6*(110\°)+x\°=720\°[/tex]
[tex]x=720\°-660\°=60\°[/tex]
Part 2) The sum of the measures of the interior angles of a polygon is [tex]1440\°[/tex]. What kind of polygon is it?
we know that
The sum of the measures of the interior angles of a polygon is equal to the formula
[tex]S=(n-2)180\°[/tex]
where
n is the number of sides of polygon
In this problem we have
[tex]S=1440\°[/tex]
substitute in the formula and solve for n
[tex]1440\°=(n-2)180\°[/tex]
[tex]n=(1440\°/180\°)+2=10\ sides[/tex]
therefore
Is a 10 sided polygon (decagon)
Part 3) Is it possible for a triangle to have angles measures of 1°, 2° and 177° ?
we know that
In any triangle the sum of the measures of the interior angles must be equal to 180 degrees
In this problem we have
1°+ 2°+ 177°=180°
therefore
Yes, is possible for a triangle to have angles measures of 1°, 2° and 177°
522/5=
Jana bowled 5 games for 522 points how many points did she a Etsy per game
104.4...............................:::::::
Answer:
a lot
Step-by-step explanation:
Write an algebraic expression for the
phrase below.
12 less than twice a number n
Answer:
2n-12 ( n is the unknown number)
Answer:
12-2n
Step-by-step explanation:
12 less which means you have to subtract 12 from twice a number n so 2 times n
so 12-2n
Find the measure of ∠DFG.
A) 24°
B) 34°
C) 58°
D) 62°
It’s C or 34+24=58 so the answer is C
It is c 58 your welcome
What does N equal help me please
for (A^x)^y = A^xy
Thus for (3^-5)^-2 = 3^n
n = -5×-2 =10
Answer:
n=10
Step-by-step explanation:
We know that a^b^c = a^(b*c)
3 ^-5^-2 = 3^(-5*-2)
= 3^(10)
3^n = 3^10
n = 10
Options
A. 7
B. 9
C. 21
D. 24
Answer: The answer is 9 i am 100% sure
Step-by-step explanation:
It would be
B.9 I hope this helps
Which subset(s) of numbers does 8 2/3
belong to?
Answer:
Rational number/integer
If f(x) = x+7 and g(x)=1/x what is (f o g)(x)?
For this case we have the following functions:
[tex]f (x) = x + 7\\g (x) = \frac {1} {x}[/tex]
We must find [tex](f_ {0} g) (x):[/tex]
By definition:
[tex](f_ {0} g) (x) = f (g (x))[/tex]
So, evaluating g(x) in f(x) we have:
[tex](f_ {0} g) (x) = f (g (x)) = \frac {1} {x} +7[/tex]
ANswer:
[tex]\frac {1} {x} +7[/tex]
Option D
When buying a candy bar, there is a 20% chance that it will also include a coupon for a second candy bar. A student
wants to determine the probability that, if she buys 7 candy bars, more than 2 will include a coupon.
To do this, she uses a random number table to pick 7 numbers from 1 to 5. She lets 1 represent a candy bar with a
coupon and numbers 2 through 5 represent a candy bar without a coupon.. She repeats this for a total of 16 trials. Theresults are shown in the table.
5144543 2114445 2113415 4341112
3423143 3435251 1324353 3223233
2155545 4222542 4443352 5222235
1455141 4554414 5154443 3153242
Select from the drop-down menus to correctly complete each statement
To estimate the probability that more than 2 out of 7 candy bars will include a coupon, the student must count the numberof trials with Choose ________ and divide by the number of trials.
This gives an estimated probability of about Choose _________.
Answer:
Step-by-step explanation:
1 represent a candy bar with a coupon and numbers 2 through 5 represent a candy bar without a coupon.
Now we are asked to find the probability that, if she buys 7 candy bars, more than 2 will include a coupon.
Total number of outcomes=16
Number of favorable outcomes(i.e. the outcome which have more than 2 one) = 3
( Since the outcomes are: 2113415 4341112 1455141 )
Hence, the probability is the ratio of Number of favorable outcomes to the total number of outcomes.
i.e. [tex]Probability=\dfrac{3}{16}\\\\\\Probability=0.1875[/tex]
The volume of a rectangular prism is represented by the function x3 + 9x2 + 6x − 16. The length of the box is x + 2, while the height is x + 8. Find the expression representing the width of the box.
Answer:
width = (x-1)
Step-by-step explanation:
The volume of the prisms is defined in the problem as
Volume = x^3 + 9x^2 + 6x − 16
Volume = width*height* length
And we know that,
length = (x+2)
height = (x+8)
We can find the roots of the equation, which happen to be
x = -8
x = -2
x = 1
(See image below)
This means that the volume can be represented as
Volume = x^3 + 9x^2 + 6x − 16 = (x+8)(x+2)*(x-1)
Therefore,
The width = (x-1)
Simplify the expression (5k^2)^3
(5k^2)^3 simplifies to 125k^6.
To simplify the expression (5k^2)^3, we can apply the exponent rule. The rule states that when raising a power to another power, we multiply the exponents together.
In this case, we have (5k^2)^3. To simplify, we raise both the base, 5, and the exponent, k^2, to the third power.
First, let's raise the base, 5, to the third power:
5^3 = 5 x 5 x 5 = 125
Next, let's raise the exponent, k^2, to the third power:
(k^2)^3 = k^(2 x 3) = k^6
Therefore, (5k^2)^3 simplifies to 125k^6.
daily high temperatures recorded in certain areas 65 degrees Fahrenheit 66 degrees Fahrenheit 70 degrees Fahrenheit is 58° Fahrenheit and 61 degrees Fahrenheit what is the mean absolute deviation for the data
Answer:
3.64
Step-by-step explanation:
65 + 66 + 70 + 58 + 61 = 319
319/5 = 63.8
65 - 63.8 = |1.2|
66 - 63.8 = |2.2|
70 - 63.8 = |6.2|
58 - 63.8 = |-5.8| = 5.8
61 - 63.8 = |-2.8| = 2.8
1.2 + 2.2 + 6.2 + 5.8 + 2.8 = 18.2
18.2/5 = 3.64
Use the diagram to identify the special angle pairs.
ADC and BDC are .
A pair of complementary angles is angles .
Answer:
∠ADC and ∠BDC are supplementary
A pair of complementary angles is angles ACD and DCB.
<ADC and <BDC are supplementary angles
<ACD and <BCD are complementary angles)
What are complementary and supplementary angles?Complementary Angles: Two angles that add up to 90 degrees, complementing each other to form a right angle, e.g., 30 and 60 degrees.
Supplementary Angles: Two angles that add up to 180 degrees, forming a straight line, e.g., 120 and 60 degrees.
From the figure
ED is a ray that bisects AB and <ACB
<ACB is 90⁰(given)
<ADC + <BDC = 180( linear angles)
Linear angles are supplementary
Therefore
<ADC and <BDC are supplementary angles
Since <ACB = 90⁰
ED is a bisector
Therefore
<ACD + <BCD = 90⁰
<ACD and <BCD are complementary angles)
learn more about bisector here
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2. Find the number of permutations of the letters in the
word SMART.
Answer:
The number of permutations of the letters in the word SMART are 120
Step-by-step explanation:
Permutations are events of multiplicative type, where the number of possibilities decreases and if the order of a permutation is an arrangement of a set of objects in a defined order.
The number of possible permutations when taking objects from the set of elements will be, following the same reasoning: [tex]P_{n} =n![/tex]
The number of permutations of the letters in the word SMART is:
[tex]P_{5} =5!=5.4.3.2.1=120[/tex]
.
What is the constant of proportionality in the equation y=x/9?
Answer:
1/9
Step-by-step explanation:
Separate the fraction (1/9) from the variable x:
y = (1/9)x.
1/9 is the constant of proportionality.
The constant of proportionality in the equation y=x/9 is 1/9.
What is a constant of proportionality?A constant of proportionality is a constant that is multiplied by a variable to make two variables equal.
We can find the constant of proportionality as shown below:The equation is given as:
y=x/9
Observe the given equation. Here, we can see that x and y are variables.
This means that 1/9 is the constant of proportionality.
A constant of proportionality is a constant that is multiplied by a variable to make two variables equal.
Therefore, the constant of proportionality is found. The value of the constant of proportionality is 1/9.
Therefore, we have found the constant of proportionality in the equation y=x/9 is 1/9.
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HELP ASAP WILL MARK BRAINLIEST
Answer:
EF , HG , Parallel
Step-by-step explanation:
Here we are given a translated quadrilateral EFGH from Quadrilateral ABCD.
Also given that AB was parallel to DC.
Now we have to fill in the certain blanks.
Here EF is parallel to AB , As EFGH is a translated image of ABCD. And EF and AB are the corresponding sides.
Also HG is parallel to DC, EFGH is a translated image of ABCD.
Also we are given that AB is parallel to DC. Hence we have following results.
AB║DC
AB║EF
Hence CD║EF
also
CD ║HG
CD║EF
Hence we can come to conclusion that
EF║HG
Hence our answer will be
corresponding segments EF and HG are parallel to each other.
16 is 80% of what number
Answer:
20
Step-by-step explanation:
This reads mathematically exactly how it is stated in words. The word "is" means =, the word "of" means multiply, and "what number" is x. Therefore, the equation from that looks like this: 16 = .80x. Don't forget that you cannot use a percent in an equation without first changing it to its decimal equivalency. Solve that for x by dividing both sides by .80 to get that x = 20
The number that when 80 % is found of it, would give the result of 16 is the number 20.
What is 80 % of 20 ?To determine the number that 16 is 80% of, you can set up an equation using algebra.
Let's represent the unknown number with the variable "x." The equation can be written as:
16 = 80% of x
To solve for "x," we need to isolate it on one side of the equation.
Since 80% is equivalent to 0.8 as a decimal, we can rewrite the equation as:
16 = 0.8x
To solve for "x," divide both sides of the equation by 0.8:
16 / 0.8 = 0.8x / 0.8
Simplifying the equation:
20 = x
Therefore, the number that 16 is 80% of is 20.
Find out more on percentages at https://brainly.com/question/843074.
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2.
(07.04A)
Which of the tables represents a function? (4 points)
Table A Input Output
4 3
3 2
2 1
Table B Input Output
1 3
3 5
3 7
Table C Input Output
0 0
1 4
1 5
Table D Input Output
4 1
4 2
4 3
Table A
Table B
Table C
Table D
Answer: The table that represents a function is table A
Step-by-step explanation: This is because every time the input goes down once with a change of output, where as a nonlinear function doesn't do this
Find the surface area and volume of cone. A = rs + r2 V = 1/3r2 h A cone's slant height (s) is 14 cm and its radius is 4.5 cm. Surface area (to the nearest tenth) = cm2 Volume (to the nearest tenth) = cm3
Answer:
Surface area = [tex]261.6cm^2[/tex]
Volume = [tex]281.2cm^3[/tex]
Step-by-step explanation:
To find the surface area of our cone, we are using the formula for the surface area of a cone:
[tex]A=\pir(r+\sqrt{h^2+r^2} )[/tex]
where
[tex]A[/tex] is the surface area
[tex]r[/tex] is the radius
[tex]h[/tex] is the height
Notice that the height, radius, and slant height make a right triangle, so to find the height, [tex]h[/tex], we can use the Pythagorean theorem:
[tex]s^2=r^2+h^2[/tex]
[tex]14^2=4.5^2+h^2[/tex]
[tex]196=20.25+h^2[/tex]
[tex]h^2=196-20.25[/tex]
[tex]h^2=175.75[/tex]
[tex]h=\sqrt{175.75}[/tex]
[tex]h=13.26[/tex] cm
We have all we need now to find the surface area of our cone:
[tex]A=\pir(r+\sqrt{h^2+r^2} )[/tex]
[tex]A=\pi(4.5)(4.5+\sqrt{13.26^2+4.5^2} )[/tex]
[tex]A=261.6cm^2[/tex]
Now, to find the volume of our cone, we are using the formula for the volume of a cone:
[tex]V=\frac{\pi r^2h}{3}[/tex]
where
[tex]V[/tex] is the volume
[tex]r[/tex] is the radius
[tex]h[/tex] is the height
Replacing values
[tex]V=\frac{\pi (4.5^2)(13.26)}{3}[/tex]
[tex]V=281.2cm^3[/tex]
We can conclude that the surface area of our cone is 261.6 square centimeters and its volume is 281.2 cubic centimeters.
Answer:
Surface area [tex]= 261.405 cm^2\\[/tex]
Volume of the cone [tex]= 177.19 cm^3\\[/tex]
Step-by-step explanation:
Slant height of cone [tex]= (r + \sqrt{r^2 + h^2}) \\[/tex]
Height of the cone will be derived from this slant height
[tex]14 = 4.5 + \sqrt{4.5^2 + h^2} \\9.5 = \sqrt{4.5^2 + h^2}\\90.25 = 20.25 + h^2\\h = 8.36\\[/tex]
Surface Area of Cone
[tex]= \pi r (r + l)\\= (3.14) (4.5) (4.5 + 14)\\= 261.405[/tex]
Volume of the cone
[tex]= \frac{1}{3} \pi r^2h\\= \frac{1}{3} (3.14)(4.5^2) (8.36)\\= 177.19 cm^3\\[/tex]
The amount of money that high school students spend on fast food each month is usually between $50 and $200. However, there are a few students who do not eat fast food at all. What measure of spread would be most appropriate to measure the amount of money that high school students spend on fast food per month?
A. Mean
B. Interquartile Range
C. Range
D. Standard Deviation
B. Interquartile Range
Plz help me with this
Answer options: Quadratic, exponential, cubic and linear
f(x) is linear
g(x) is exponential
Answer: linear, exponential
Step-by-step explanation:
f(x) the blue line has a constant slope so is a line (linear).
g(x) the red line has an asymptote at x = 0 and has an exponential rate/slope so is exponential.
Wendy made two rectangular prism jewelry boxes, one small and one large. The dimensions of the large jewelry box are three
times the dimensions of the small jewelry box. If the surface area of the small jewelry box is 79 cm2, what is the surface area of the
large jewelry box?
A. 474 cm squares
B. 237 cm squared
C. 711 squared
D. 2,133 cm squared
Answer:
C
Step-by-step explanation:
The scale factor is a quantity that "scales" another quantity.
Since, the dimensions of large is "3 times" that of the smaller box, the scale factor is 3.
This means, that we can multiply any dimension (length, width, or height) of the small box by 3 to get respective dimension of large box.
Remember, to get area, we need to multiply by scale factor squared. To get volume, we need to multiply by scale factor cubed.
Since, surface area is given of smaller box, we need to multiply by scale factor squared (3^2 = 9) to get surface area of larger box.
Hence, 79 * 9 = 711 cm^2
C is the correct answer.
What is the expression and answer
Answer:
Step-by-step explanation:
L is 2* W so L=2W
perimeter= 2w+2l
plug in whats given to get
perimeter=2w+4w 4w is because L is *2 of W so that makes L=2w
36=6w
36/6=6
6w/6=w
w=6
6*2=12=L
now we have 6*12=72=Area
idk wat to do.....
........
Answer:
Mean : 95
Median : 85
Mode : 90
Part B : Impossible
Step-by-step explanation:
We can make an equation to find the mean using the first 5 history test scores.
[tex]85=\frac{80+75+90+75+95+n}{6} \\ \\ 85=\frac{415+n}{6} \\ \\ 510=415+n \\ \\ n=95[/tex]
So a 95 would be needed to have a mean of 85.
Next, the median.
First, we sort the first 5 history scores from least to greatest.
We get 75, 75, 80, 90, 95.
Since, 80 is the middle value, it will be used in the calculation of the median.
We can make an equation with this.
[tex]82.5=\frac{80+n}{2} \\ \\ 165=80+n \\ \\ n=85[/tex]
So a score a 85 would be needed to have a median of 82.5
Thirdly, the mode.
Since 90 is already in the set once, we can just have Maliah score another 90 to make 90 the mode (with the exception of 75 of course).
Finally, Part B.
We can use the equation we had for the first mean calculation but change 85 to 90.
[tex]90=\frac{80+75+90+75+95+n}{6} \\ \\ 90=\frac{415+n}{6} \\ \\ 540=415+n \\ \\ n=125[/tex]
So Maliah would need a score of 125 to make her mean score 90, but since the range is only from 0-100, it is impossible.
PLZ HELP 10 POINTSSSSSSSSSSSSSSSSSSSSS!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
b
Step-by-step explanation:
to find volume you have to multiply 12, 6 and 8.5
if it is right rate and thanks me so others know it is right
Answer:
[tex]v = \frac{i \: \times w \ \times h}{3} \\ \: \: \: \: = \frac{8.5 \times 6 \times 12}{3} \\ \: \: \: \: = 204 {in}^{3} [/tex]
Answer D is correct.
The graph above shows the cost of hay. Jethro bought 9 bales of hay. Based on the graph, what is the total cost that he paid for the hay?
A.
$22.50
B.
$31.50
C.
$36.00
D.
$27.00
Answer:
b
Step-by-step explanation:
Number 9 please?!?!?!?!
You would get paid $1.25 per hour, you divide 50 by 40 and get 1.25. Hope this helps ʅ（◞‿◟）ʃ
the answers is 1.25
enjoy good grades!!!!!
Help me please and thank you
Answer:
? = 5Step-by-step explanation:
Look at the picture.
ΔADC and ΔCDB are similar (AAA). Therefore corresponding sides are in proportion
[tex]\dfrac{15}{x}=\dfrac{x}{20-15}\\\\\dfrac{15}{x}=\dfrac{x}{5}[/tex]
cross multiply
[tex]x^2=(15)(5)\\\\x^2=75\to x=\sqrt{75}\\\\x=\sqrt{25\cdot5}\\\\x=\sqrt{25}\cdot\sqrt5\\\\x=5\sqrt5[/tex]
Find the volume please help
Answer:
204
Step-by-step explanation:
To find the volume of a rectanguar prism, you must multiply legnth x width x height to get the volume.
Before we multiply, first lets convert the fractions into improper fractions to make multiplying a little easier.
6 3/8 = 51/8
10 2/3 = 32/3
Now, we multiply.
[To multiply fractions, multiply the numerators and denominators.]
51/8 x 32/3
51 x 32 = 1632
8 x 3 = 24
1632/24 = 68
Now that we've multiplyed the length and height, multiply 68 by the width, 3.
68 x 3 = 204
Therefore, the volume of the rectangular prism is 204. I hope this helps!
About 204 inches.
Hope this helps!