Answer:
(a) Step 2. 9x -12 = 13 +2x
Step-by-step explanation:
The distributive property says a factor outside parentheses multiplies each term inside parentheses. It is an error to do addition of the factor, or to miss multiplying a term.
In Step 2 of this "solution", the factor of 3 is erroneously added to each coefficent inside parentheses. It should be multiplied.
Correct Step 2: 9x -12 = 13 +2x
__
The rest of the solution should be ...
Step 3: 9x -2x = 13 +12
Step 4: 7x = 25
Step 5: x = 25/7
___
Check
3(3(25/7) -4) = 8 + 2(25/7) +5
3((75 -28)/7) = 13 +50/7
141/7 = 141/7 . . . . . answer checks OK
Algebraic terms are separated by
Choose all that apply.
=
+
x
\
-
An art gallery sales 1400 paintings catalog states that 70% of the paintings by local painters how many of these paintings are by local painters
Answer:
the answer is 980 hope this helps
A triangular prism has a volume of 360 in.³ the area of the base of the prism is 24 in.² what is the height of the prism?
Answer:
15 in
Step-by-step explanation:
Volume / Area = missing length
360 / 24 = 15 in
The parabola in the image has its focus at (4,3).Its directrix is the line y=1.The point (8,6) is on the parabola.
The statements that are true for this parabola are:
C. The point (8, 6) is the same distance from the point (4, 3) as it is from the line y = 1.
Option D.
Given the following data:
Vertex (h, k) = (4, 3).Point (x, y) = (8, 6).How to determine the equation of the directrix?Mathematically, the standard equation of the directrix line for a parabola is given by: y = a(x - h)² + 2.
Next, we would determine the distance where point (8, 6) lie on the parabola as follows:
y = a(x - h)² + 2
6 = a(8 - 4)² + 2
6 = a(4)² + 2
6 = 16a + 2
16a = 6 - 2
16a = 4
a = 4/16
a = 1/4.
Therefore, the parabolic equation becomes:
y = 1/4(x - 4)² + 2
When x = 2, we have:
y = 1/4(2 - 4)² + 2
y = 1/4(-2)² + 2
y = 1/4(4) + 2
y = 1 + 2
y = 3.
In conlusion, the statements that are true for this parabola in the image above include:
The point (8, 6) is the same distance from the point (4, 3) as it is from line (y = 1).The point (2, 3) is on the parabola.Read more on directrix here: https://brainly.com/question/2346582
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Can I have help on this? I will award brainliest to whoever gives me the correct answer.
I think it is the last one
The greatest common factors of the expressions 48ab² and 32a²bare,
⇒ 2⁴ ab
What is Greatest common factors?The highest number that divides exactly into two more numbers, is called Greatest common factors.
Given that;
The expressions are,
⇒ 48ab²
⇒ 32a²b
Now,
GCD of 32, 48 = 16
And, GCD of (ab²) and (a²b) = ab
Thus, The greatest common factors of the expressions 48ab² and 32a²b are,
⇒ 16 ab
⇒ 2⁴ ab
Hence, The greatest common factors of the expressions 48ab² and 32a²bare,
⇒ 2⁴ ab
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Please help!! Will mark brainlyest.
What is the equation, in slope-intercept form, of the line that is perpendicular to the line y – 4 = –two-thirds(x – 6) and passes through the point (−2, −2)? y = –two-thirdsx – ten-thirds y = –two-thirdsx ten-thirds y = three-halvesx – 1 y = three-halvesx 1
The equation, in slope-intercept form, of the line that is perpendicular to the line y – 4 = –two-thirds(x – 6) is y = 3/2x - 1
Equation of a line in slope-intecept form?The equation of a lins is a linear equation and expressed as:
y = mx + b
m is the slope
b is the y-intercept
Determine the equation in point slope form
y - y1 = -1/m(x - x1)
y -(-2) = 3/2(x + 2)
y + 2 = 3/2(x+2)
Write in slope-intercept form
2(y+2) = 3(x+2)
2y + 4 = 3x + 6
2y = 3x - 2
y = 3/2x - 1
Hence the equation, in slope-intercept form, of the line that is perpendicular to the line y – 4 = –two-thirds(x – 6) is y = 3/2x - 1
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Consider the equation 3(x – 5)2
+ 6 = 54.
What value(s) of x makes the equation true? Enter one solution in each space
provided on your answer document. If there is only one solution, leave one space
blank
Answer:
if im not mistaken, x = 13!!
Everyone I really need the answers now I know that the points I offer are not much but I need I really need someone to answer this. Thank you to whoever answers
Volume = 6³ dm³
Volume = 216 dm³
Volume of rectangular prism = L × W × HVolume = 10 × 8 × 6 cm³
Volume = 480 cm³
Volume of pyramid = 1/3 base area × hVolume = 1/3 × 14 × 17 × 12.86 cm³
Volume = 1020.226 cm³
Volume of Cylinder = πr²hVolume = 3.14 ×6.5² × 5 m³
Volume = 663.325 m³
Volume of Cone = 1/3 πr²hvolume = 1/3 × 18.5² × 16 cm³
Volume = 1825.3 cm³
Volume of Sphere = 4/3 πr³Volume = 4/3 ×3.14 × 7³ m³
Volume = 1436.026 m³
120 90 x= i need help with thiss!!!
Answer:
60°
Step-by-step explanation:
Angles around a point sum to 360°360 - 90 - 120 - 90 = 240 - 180 = 60°Find the area of the semicircle. Round your answer to the nearest hundredth.
Answer:
452.39
Step-by-step explanation:
area of circle = [tex]\pi r^{2}[/tex]
area of semi circle is [tex]\pi r^{2}[/tex] divided by 2 (because a semi circle is half of a circle)
diameter = 2 x radius, and radius = half of diameter
so
radius = 24 / 2 = 12
[tex]12^{2}[/tex] x π = 452.389342
to nearest hundredth = 452.39
Hope this helps. If you need any further explanation, let me know!
- profparis
if i helped you, i would appreciate a brainliest :D
Answer:
266.19 in²
Step-by-step explanation:
[tex]\sf Area\:of\:a\:circle=\pi r^2[/tex] (where r is the radius of the circle)
As a semicircle is half a circle
[tex]\implies \sf Area\:of\:a\:semicircle=\dfrac12\pi r^2[/tex]
From inspection of the diagram, we can see that the diameter (the widest part of a circle) is 24 in.
[tex]\sf Radius\:of\:a\:circle\:(r)=\dfrac12diameter[/tex]
Therefore, the radius of the circle = 24 ÷ 2 = 12 in
Substitute r = 12 into the equation for the area of a semicircle:
[tex]\begin{aligned}\implies \sf Area\:of\:a\:semicircle & =\dfrac12\pi 12^2\\ & =\dfrac12 \cdot \pi \cdot 144\\ & = 72\pi \\ & = 266.19\: \sf in^2 \:(nearest\:hundredth)\end{aligned}[/tex]
Plot the image of point A under a dilation about the origin (0,0) with a scale factor of 1/3
Answer:
Step-by-step explanation:
If the coordinates of A are (3,-6) then the coordinates if A after dilation by a factor 1/3 then the coordinates will be (9,-18).
What is dilation?The dilation is the action or condition of becoming or being made wider, larger,or more open, point or figure. The area of shape will be area/ factor after dilation.
How to plot image?We have been given point A whose coordinates are (3,-6). We have to plot the point A after dilation with factor 1/3,
The x value after dilation will be 3/1/3=9
The y value after dilation will be -6/1/3=-18.
Hence the coordinates of A after dilation are (9,-18).
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Find the image of the given point
under the given translation.
P(-9, -2)
T(x, y) = (x + 6, y − 4)
P' = ([?], [])
Explanation:
The notation [tex]T(x, y) = (x+6, y-4)[/tex] tells us to add 6 to the x coordinate and subtract 4 from the y coordinate.
An equivalent notation would be to write [tex](x,y) \to (x+6, y-4)[/tex]
Point P has the x coordinate of -9. Adding on 6 gets us the new x coordinate of -9+6 = -3
It also has the y coordinate of -2. Subtract off 4 to get -2-4 = -6
So,
[tex](x,y) \to (x+6, y-4)\\\\(-9, -2) \to (-9+6, -2-4)\\\\(-9, -2) \to (-3, -6)[/tex]
Answer:
P' (- 3, - 6 )
Step-by-step explanation:
the translation
(x, y ) → (x + 6, y - 4 )
means add 6 to the x- coordinate and subtract 4 from the y- coordinate , so
P (- 9, - 2 ) → P' (- 9 + 6, - 2 - 4 ) → P' (- 3, - 6 )
Marina has $145 to spend. She spends $68. 50 on jeans. T-shirts cost $12. 75. Write and solve an inequality to find the greatest number of t-shirts she can buy
Answer:
6
Step-by-step explanation:
145-68.50 = 76.50
76.20/12.75 = no of t-shirts she can buy
ans= 6
Bob is thinking about leasing a car. the lease comes with an interest rate of 8%. determine the money factor that will be used to calculate bob’s payment. a. 0.00033 b. 0.00192 c. 0.00333 d. 0.01920
The money factor that will be used to calculate Bob's payment is 0.00333 if the annual percentage rate is 8% option (c) is correct.
What is money factor?It is defined as the ratio of the annual percentage rate to 2400. Usually, it can be used to calculating the financing costs of a lease with monthly installments.
Bob is thinking about leasing a car, the lease comes with an interest rate of 8%.
The annual percentage rate(APR) = 8%
We know the formula for finding the money factor is given by:
[tex]\rm Money \ factor = \frac{APR}{2400}[/tex]
[tex]\rm Money \ factor = \frac{8}{2400}[/tex]
Money factor = 0.00333
Thus, the money factor that will be used to calculate Bob's payment is 0.00333 if the annual percentage rate is 8% option (c) is correct.
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Julie invested $148,000 in a simple interest account. After 12 years and no additional deposits or withdrawals, the account balance was $210,160. Find the interest rate for the account.
If the invested price is $ 148,000 for 12 years with a return of $210,160. Then the rate of interest will be 11.83%.
What is simple interest?Simple interest is the concept that is used in many companies such as banking, finance, automobile, and so on.
Julie invested $148,000 in a simple interest account.
After 12 years and no additional deposits or withdrawals, the account balance was $210,160.
Then the interest rate will be
[tex]\rm A = \dfrac{PRT}{100}\\[/tex]
We have
A = $ 210,160
P = $148,000
T = 12 years
Then the interest rate will be
[tex]\begin{aligned} 210,160 &= \dfrac{148000 \times R \times 12}{100}\\\\R &= 11.83 \% \end{aligned}[/tex]
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Answer: 3.5%
Step-by-step explanation:
What is the total number of atoms in ammonium hydroxide, nh4oh ? 2 4 7 8
Answer:
7 total atoms.
Step-by-step explanation:
There's nothing written for N, so we assume there is one atom. There is 4 written for H, plus the other H at the end, making 5 hydrogen atoms. There is nothing written for O, so we assume there is one atom. 1+5+1=7 total
Answer:
7
Step-by-step explanation:
BABA BOI
Which one does it simplify to? please
Answer:
[tex]1 + { \sin} \theta[/tex]
Step-by-step explanation:
[tex] \frac{ { \cos}^{2} \theta}{1 - \sin \theta} \\ \\ = \frac{ { \cos}^{2} \theta}{(1 - \sin \theta)} \times \frac{(1 + \sin \theta)}{(1 + \sin \theta)} \\ \\ = \frac{{ \cos}^{2} \theta(1 + { \sin} \theta)}{(1 - { \sin}^{2} \theta)} \\ \\ = \frac{{ \cancel{ \cos}^{2} \theta}(1 + { \sin} \theta)}{ \cancel{{ \cos}^{2} \theta}} \\ \\ = 1 + { \sin} \theta[/tex]
Let's see
[tex]\\ \rm\Rrightarrow \dfrac{cos^2\theta}{1-sin\theta}[/tex]
[tex]\\ \rm\Rrightarrow \dfrac{1-sin^2\theta}{1-sin\theta}[/tex]
(a+b)(a-b)=a²-b²[tex]\\ \rm\Rrightarrow \dfrac{(1-sin\theta)(1+sin\theta)}{1-sin\theta}[/tex][/tex]
[tex]\\ \rm\Rrightarrow 1+sin\theta[/tex]
Option A
angles of circles
find x and y
Answer:
no. 1
Step-by-step explanation:
visual brain cuz im on the moon
Open with
2 At Mount Rushmore, the sculpture of George Washington's head is approximately 60 feet in
height.
60 feet
Il George Washington's head was approximately foot in height and his nose was 2 inches
long, how long is the nose on the sculpture at Mount Rushmore?
A
22-feet
B
13 feet
C, 1
75 feet
6 feet
D.
og
Page 2 | 13
a +
Darin wants to put a fence around his garden how much fencing should he buy.
Answer:
I don't know. How much he wants I guess.
Step-by-step explanation:
how many sides does a quadrillateral have
Answer: 4
Step-by-step explanation:In geometry a quadrilateral is a four-sided polygon, having four edges and four corners. The word is derived from the Latin words quadri, a variant of four, and latus, meaning side
How am I supposed to do question 4???
Answer:
PQ= XY
QR=YZ
RP=ZX
/_P= /_X
/_Q= /_Y
/_R= /_Z
please help me I will give BRAINLY , 5 STARS and a THANKS
Answer:
12+y
Step-by-step explanation:
Given,
a=6
b=6
c=y
Perimeter of triangle= sum of all sides of triangle
= 6+6+y
= 12+y
Answer:
Step-by-step explanation:
Perimeter is the length of any closed figure. So for a triangle, the Perimeter is equal to P = a + b + c.
You are told that the triangle is isosceles which means it has 2 equal. You are to presume that the third side is not equal to the other 2.
a= 6
b = 6
c = y
Perimeter = a + b + y
Perimeter = 6 + 6 + y
Perimeter = 12 + y
You cannot go any further. There is no way to reduce it any further.
Mary had a 3-inch piece of ribbon. She cut it in half. How long were the new pieces?.
3 inch.
to find:the length of the new pieces.
solution:to find the length of the new piece's you'll have to divide 3 by 2.
3/2
= 1.5 inch
so, the length of the new pieces is 1.5 inch.
bro some one helpp lol
17 - q = 6
n-31/4 = 2
1 + 2r = 35
42 + 5t = 8t
4p - 3 = 17
Answer:
11
9.75
17
14
5
Step-by-step explanation:
q=17-6=11
4n-31=8
4n=31+8=39
n=9.75
2r=35-1=34
r=17
42=8t-5t=3t
t=14
4p=17+3=20
p=5
which expression is equivalent to 16 + 2 x 36?
Hey there!
16 + 2 * 36
= 16 + 36 * 2
= 16 + 36 + 36
= 16 + 2 * 6^2
= 16 + 72
= 88
Thus, your answers could possibly be:
• 16 + 36 * 2
• 16 + 72
• 16 + 2 * 6^2
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
Dr. Banner monitored the decay of a new type of recyclable material he developed for his
gamma radiation study. He noted that the decay of the material could be modeled by the
function f(x) = 100(0.98). What is the rate of decay of Dr. Banner's material?
Answer:
The rate of decay is: [tex]2\%[/tex]
Step-by-step explanation:
Exponential functions are modeled by:
[tex]f(x) = a(b)^x[/tex]
Where [tex]a[/tex] is the y-intercept and b is the growth or decay constant. If [tex]b[/tex] is less than one, the function decays. If [tex]b[/tex] is greater than 1, the function grows.
To calculate the percentage, subtract [tex]b[/tex] from 1:
[tex]\% = 1 - b\\\% = 1 - 0.98\\\% = 0.02[/tex]
Multiply the result by 100 to get the percentage.
[tex]0.02 * 100 = 2\%[/tex]
solve for x : -17 = -x - 7
Answer:
10
Step-by-step explanation:
-(-17)=17-7=10
Answer:
x = -119/16
Step-by-step explanation:
x/-17 = -x-7
x/-17 + x = -x-7+x
SIMPLIFY
16x/17 = -7
so x= -119/16
(I TRIED TO SOLVE THIS HOPE THIS HELPS).
Calculate the length below labeled x
Image above
Please help me with this ill give you brainlist answer
Answer:
2√30
Step-by-step explanation:
Since we have a right triangle, we first need to find the base of the big triangle, which is also the hypo of the smaller triangle.
We apply A²+B²=C²
We plug values in that we have
15²+B²=19²
Simplify
B²=136
B=√136=√2x2x2x2x17=4√17
Now that we have the hypo for the small triangle we apply the same formula to get X
4²+X²=√136
16+X²=136
X²=120
X=√120=√2x2x2x3x5=2√30
Answer:
11.0 mm (3sf)
Step-by-step explanation:
Let length of hypotenuse of smaller triangle be H mm. (this is referring to the only unlabelled length in the picture)
by the Pythagorean theorem (larger triangle),
19² = 15² + H²
H² = 361 - 225
H² = 136
by the Pythagorean theorem (smaller triangle),
H² = 4² + x²
136 = 16 + x²
x² = 120
x = 11.0 mm (3sf)
hope this helps!