Answer:
y = -1/6x - 1/2
Step-by-step explanation:
y = -1/6x + b
-1 = -1/6(3) + b
-1 = -1/2 + b
-1/2 = b
Let a and b be real numbers where a 0. Which of the following functions could represent the graph below?
f(x) = x(x – a)3(x – b)3
f(x) = (x – a)2(x – b)4
f(x) = x(x – a)6(x – b)2
f(x) = (x – a)5(x – b)
Answer:
D
Step-by-step explanation:
D on edg
Which are the solutions of the quadratic equation?
x² = 7x + 4
Answer:
[tex]x = \frac{7 + \sqrt{65}}{2} \ , \ x = \frac{7 - \sqrt{65}}{2}[/tex]
Step-by-step explanation:
[tex]x^2 = 7x + 4 \\\\x^2 - 7x - 4 = 0\\\\ a = 1 \ , \ b = - 7 , \ c \ = \ - 4 \\\\x = \frac{-b \pm \sqt{b^2 - 4ac }}{2a}\\\\Substitute \ the \ values : \\\\x = \frac{7 \pm \sqrt{7^2 - (4 \times 1 \times -4)}}{2 \times 1}\\\\x = \frac{7 \pm \sqrt{49 + 16}}{2 }\\\\x = \frac{7 \pm \sqrt{65}}{2 }\\\\x = \frac{7 + \sqrt{65}}{2}\ , \ x = \frac{7 - \sqrt{65}}{2}[/tex]
Can someone
Please
Help
Me
Find the surface area of this sphere.
Round to the nearest tenth.
16 ft
Formulas for Spheres
S.A. = 4nr?
V = rer
[?] ft?
[tex]804.2\:ft^{2}[/tex]
Step-by-step explanation:
[tex]A=4 \pi r^{2}[/tex]
We are given D = 16 ft, which means that r = (1/2)D = 8 ft. Therefore, the surface area of the sphere is
[tex]A=4 \pi (8 ft)^{2} = 804.2\:ft^{2}[/tex]
The surface area of the sphere is approximately 804.2 square feet.
What is a sphere?It is a three-dimensional figure where the volume is given as:
The volume of a sphere = 4/3 πr³
We have,
The surface area of a sphere with diameter d is given by the formula:
SA = 4πr²
where r is the radius of the sphere, which is half the diameter. In this case, the diameter is 16 feet, so the radius is 8 feet.
Plugging in the value of r, we get:
SA = 4π(8²)
SA = 4π(64)
SA = 256π
Rounding to the nearest tenth gives:
SA ≈ 804.2 square feet
Therefore,
The surface area of the sphere is approximately 804.2 square feet.
Learn more about sphere here:
https://brainly.com/question/12390313
#SPJ7
(4p _ 2k)(3)
in distributive property
Answer:
12 p - 6k
Step-by-step explanation:
Let us assume that _ is meant to be minus sign.
( 4 p - 2k ) ( 3)
use the distributive property
3 × 4p - 3 × 2k
12 p - 6 k
give your answer in detail plzz
Answer:
60% did not germinate.
Step-by-step explanation:
100% = 5
how many percent are 2 of of these 5 ?
2 = 2/5 × 5 = 2/5 × 100% = 40%
all the other seeds are then the rest of 100%.
100% - 40% = 60%
=>
60% of the seeds did not germinate.
but 40% did.
Line p is parallel to line q
Which set of statements about the angles is true ?
Which fraction converts to a repeating decimal number?
CA.
1
12
B.
718
C.
127
27
D.
E.
6
10
Reset
Answer: A.
Step-by-step explanation:
Data: Fraction that turning into a repeating decimal number=x
Only step: Divide all the fractions, 1/12, 7/8, 14/25, 17/20, 6/10
Explanation: The only way to find which fraction turns into a repeating decimal is by dividing all the fractions, this can be done in any order but for this problem, lets start with 1/12 which, when divided, turns into 0.083... which is a repeating decimal
With that being said, the answer would be A.(1/12)
I hope this helps(Mark brainliest if you'd like to)
Ava works at a florist shop and earns $7.50 an hour plus a fixed bonus for each bouquet she arranges. Write a formula that will help her determine how much she will make in a week. Let's Let a= total amount earned, h= hours worked in one week, n= number of bouquets she arranged, and b= bonus amount for bouquets
Answer: a = 7.5h + bn
Step-by-step explanation:
Since Ava works at a florist shop and earns $7.50 an hour plus a fixed bonus for each bouquet she arranges.
where,
a = total amount earned,
h= hours worked in one week,
n = number of bouquets she arranged
b= bonus amount for bouquets
Then, the formula that will help her determine how much she will make in a week will be:
a = (7.5 × h) + (b × n)
a = 7.5h + bn
The formula is a = 7.5h + bn.
(a+b)(a-b)=? Đây là hằng đẳng thức nào?
Answer:
không
Step-by-step explanation:
Answer:
(a + b)(a - b) = a² - b²
Step-by-step explanation:
(a + b)(a - b) = a (a - b ) + b (a - b )
= a² - ab + ba - b² [ ab = ba ]
= a² - ab + ab - b² [ ab - ab = 0 ]
= a² - b²
The distance between the parallel lines x – 2y = 3 and 2x – 4y = 12 is
Answer:
???????????????????????
Step-by-step explanation:
sorry di ko po alam yung sagot pasensiya na po
Given :
Parallel lines are
x – 2y = 3 and 2x – 4y = 12
Step-by-step explanation:
Lets write the given lines in slope intercept form y=mx+b
[tex]x -2y = 3 \\-2y=-x+3\\Divide \; both \; sides \; by -2\\y=\frac{x}{2} -\frac{3}{2}[/tex]
From the above equation , y intercept of first line is [tex]\frac{-3}{2}[/tex]
Solve the second equation for y and find out y intercept
[tex]2x-4y=12\\-4y=-2x+12\\Divide \; by \; -4\\y=\frac{1}{2} x-3[/tex]
y intercept of second line is -3
To find the distance between parallel lines, we subtract the y intercepts
[tex]\frac{-3}{2} -(-3)=\frac{-3}{2} +\frac{6}{2} =\frac{3}{2} =1.5[/tex]
Answer:
The distance between the parallel lines = 1.5
Reference:
https://brainly.com/question/24145911
The Jenkins family's monthly budget is
shown in the circle graph. The family has a
monthly income of $4,800. How much
money do they spend on transportation
each month?
Emergency fund
5%
Transportation
5%
Housing
30%
Medical
22%
Food
15%
Clothing
6%
Entertainment
7%
Savings
10%
Answer:
$240
Step-by-step explanation:
They spend 5% of their monthly income on transportation, so you want to work out 5% of 4800.
An easy trick with 5% is to divide by 10 (drop the ending 0) and then divide by 2. This would be 4800/10/2, or 480/2, which gives 240.
**This content involves using percentages which you may wish to revise.
Which is the Value if this expression when m = 3 and n = -5
find the volume of this cone. round to the nearest tenth. l=10 r-6
Answer:
376.8
Step-by-step explanation:
Formula Volume Cone = πr² * h/3
Volume = 3.14 * 36 * 3 1/3
Volume ≈ 376.8
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Answer: 301.6
-------------------
answer above isn't right this is, trust me.
Which has a larger area, a 4:3 aspect ratio 32 inch TV or a 16:9 aspect ratio 32 inch
TV? Find the side lengths of each of the TV's and the area of each TV to compare.
Explain your reasoning and show all mathematical calculations.
Answers:
The 4:3 tv has the larger areaThe 4:3 tv has width = 25.6 inches and height = 19.2 inches. The area is exactly 491.52 square inchesThe 16:9 tv has width = 27.8904 inches (approximate) and height = 15.68835 inches (approximate). The area is approximately 437.55 square inches.================================================
Explanation:
Let x be some positive real number
The 4:3 aspect ratio means the width (horizontal) portion of the tv is 4x inches while the height (vertical) portion is 3x inches
The ratio 4x:3x reduces to 4:3 after dividing both parts by x.
The 4x by 3x rectangle has the diagonal 32 inches as the instructions state. The tv size is always measured along the diagonal.
So effectively, we have two identical right triangles with legs 4x and 3x, and hypotenuse 32.
Apply the pythagorean theorem to find x
a^2+b^2 = c^2
(4x)^2+(3x)^2 = 32^2
16x^2+9x^2 = 1024
25x^2 = 1024
x^2 = 1024/25
x = sqrt(1024/25)
x = 32/5
x = 6.4
Recall that x is positive, so we ignore the negative square root here.
This 4x by 3x tv then has dimensions of
horizontal width = 4x = 4*6.4 = 25.6 inchesvertical height = 3x = 3*6.4 = 19.2 inchesThese values are exact.
The area is therefore base*height = 25.6*19.2 = 491.52 square inches
This of course only applies to the 4:3 tv that's 32 inches in diagonal.
-------------------------------
Now onto the 16:9 tv.
We'll follow the same steps as the last section. We'll use y this time
The 16:9 ratio becomes 16y:9y
a^2+b^2 = c^2
(16y)^2 + (9y)^2 = 32^2
256y^2 + 81y^2 = 1024
337y^2 = 1024
y^2 = 1024/337
y = sqrt(1024/337)
y = 1.7431510742491 which is approximate
y = 1.74315
So,
horizontal width = 16y = 16*1.74315 = 27.8904vertical height = 9y = 9*1.74315 = 15.68835area = base*height = 27.8904*15.68835 = 437.55435684the area is approximate since the width and height are approximate. It rounds to about 437.55 square inches
-------------------------------
To recap, we found the following:
The 4:3 tv has width and height of 25.6 inches and 19.2 inches respectively. Those values are exact. The area is exactly 491.52 square inches.The 16:9 tv has width and height of approximately 27.8904 inches and 15.68835 inches respectively. The area is approximately 437.55 square inches.The 4:3 tv has larger area.What is the x value of the solution to the system of equations
4y=2x+8
Y=-x+2
Answer:
x=0;y=2
Step-by-step explanation:
4(-x+2)=2x+8 -4x+8=2x+8 -4x-2x=8-8 -6x=0 x=0 y=-x+2 y=0+2 y=2
f(x) = 4x2 – 10x + 2
Find f(-7)
Answer:
f(-7) = 268
Step-by-step explanation:
f(x) = 4x^2 – 10x + 2
Let x = -7
f(-7) = 4(-7)^2 – 10(-7) + 2
Exponents first
f(-7) = 4(49) – 10(-7) + 2
Multiply
f(-7) = 196 + 70 + 2
f(-7) = 268
a little bit of help here??
Answer:
balanced
Step-by-step explanation:
The upward force is 75+ 160 =235
The downward force is 235
The force is balanced since the upward force equals the downward force
An object is experiencing an acceleration of 30 m/s2 while traveling in a
circle at a velocity of 3.7 m/s. What is the RADIUS of its motion?
Answer:
[tex]{ \tt{formular :}} \\ { \boxed{ \bf{centripental \: acceleration = \frac{ {v}^{2} }{r} }}} \\ \\ { \tt{30= \frac{ {3.7}^{2} }{r} }} \\ \\ { \tt{r = \frac{ {3.7}^{2} }{30} }} \\ \\ { \tt{radius = 0.456 \: meters}}[/tex]
Please help I’ll give brainliest
Answer:
2 is the base
Step-by-step explanation:
2^3
2 is the base and 3 is the exponent
Helppp and explain please and ty ;)
Answer:
Does this seem right to you?
The row-echelon form of the augmented matrix of a system of equations is given. Find the solution of the system.
Answer:
x = -5; y = 4, z = 1
Step-by-step explanation:
Given the row echelon form as:
[tex]\left[\begin{array}{cccc}1&0&\ \ 4|&-1\\0&1&-1|&3\\0&0&\ \ 1|&1\end{array}\right][/tex]
This matrix can be represented as:
[tex]\left[\begin{array}{ccc}1&0&4\\0&1&-1\\0&0&1\end{array}\right]\left[\begin{array}{c}x\\y\\z\end{array}\right] =\left[\begin{array}{c}-1\\3\\1\end{array}\right] \\\\Performing\ matrix\ multiplication\ gives:\\\\\left[\begin{array}{c}x+4z\\y-z\\z\end{array}\right] =\left[\begin{array}{c}-1\\3\\1\end{array}\right][/tex]
Therefore:
z = 1
y - z = 3;
y = 3 + z = 3 + 1 = 4.
Hence, y = 4
x + 4z = - 1;
x = -1 - 4z = -1 - 4(1) = -5
x = -5
if the radius is 91cm what would be the diameter and circumference?
Answer:
C=3.14*91
D=91*2
C=285.74
D=182
Hope This Helps!!!
Please Help. Thank you
Answer:
7/5 is the scale factor
Step-by-step explanation:
if 2x + 3y = 12 and xy = 6, find the value of 8x^3 + 27y^3
Answer:
The value of [tex]8\cdot x^{3} + 27\cdot y^{3}[/tex] is 432.
Step-by-step explanation:
Let be the following system of equations:
[tex]2\cdot x + 3\cdot y = 12[/tex] (1)
[tex]x\cdot y = 6[/tex] (2)
Then, we solve both for [tex]x[/tex] and [tex]y[/tex]:
From (1):
[tex]2\cdot x + 3\cdot y = 12[/tex]
[tex]2\cdot x = 12- 3\cdot y[/tex]
[tex]x = 6 - \frac{3}{2}\cdot y[/tex]
(1) in (2):
[tex]\left(6-\frac{3}{2}\cdot y \right)\cdot y = 6[/tex]
[tex]6\cdot y-\frac{3}{2}\cdot y^{2} = 6[/tex]
[tex]\frac{3}{2}\cdot y^{2}-6\cdot y + 6 = 0[/tex]
The roots of the polynomial are determined by the Quadratic Formula:
[tex]y_{1} = y_{2} = 2[/tex]
By (1):
[tex]x = 6 - \frac{3}{2}\cdot (2)[/tex]
[tex]x = 3[/tex]
If we know that [tex]x = 3[/tex] and [tex]y = 2[/tex], then the final value is:
[tex]z = 8\cdot x^{3}+27\cdot y^{3}[/tex]
[tex]z = 8\cdot 3^{3}+27\cdot 2^{3}[/tex]
[tex]z = 432[/tex]
The value of [tex]8\cdot x^{3} + 27\cdot y^{3}[/tex] is 432.
What type of angel is 107 degrees
Answer:
[tex]\huge\boxed{\boxed{\underline{\textsf{\textbf{Answer}}}}}[/tex]
⏩ 107° angle will be an obtuse angle because its measurement is more than 90° but less than 180°.
⁺˚*･༓☾✧.* ☽༓･*˚⁺‧
ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ
꧁❣ ʀᴀɪɴʙᴏᴡˢᵃˡᵗ2²2² ࿐
Answer:
An obtuse angle
Step-by-step explanation:
Angles are classified by how large their degree measure is. Here is a list of the basic classifications of an angle,
acute: degree measure between (0) and (90) degrees
right: exactly (90) degrees,
obtuse: degree measure between (90) and (180) degrees
reflex: degree measure between (180) and (360) degrees
Help Please!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
4/8 = 1/2
Step-by-step explanation:
hope it thepled u
Solve the inequality: 3x - 3 < 9
Answer:
[tex]x<4[/tex]
Step-by-step explanation:
Given:
[tex]3x-3<9[/tex]
Add 3 to both sides
[tex]3x<12[/tex]
Divide both sides by 3 to get x alone
[tex]x<4[/tex]
Hope this is helpful
Neil is buying steak for a cookout on Saturday. Steak is on sale for $9.62 per pound. If he buys 7.5 pounds of steak, how much money does he spend?
Answer:
$72.15
Step-by-step explanation:
x= pounds of steak
$[tex]9.62x[/tex] = money spent on steaks
If Neil buys 7.5 pounds of steak then x =7.5
$9.62(7.5) = $72.15
Answer:
$72.15
Step-by-step explanation:
1 pound = $9.62
7.5 pounds = $9.62 × 7.5
= $72.15
joey is going shopping for a new pair of sneakers. He finds a pair that have an original price of $155. They are on sale today for 30% off. How much does Joey pay for the sneakers including 8% sales tax?
Answer:, Joey will pay $117.18 for sneakers.
Step-by-step explanation:
Given: original price = $155
Discount rate = 30%
Tax rate = 8%
Price after discount = Original price - (Discount) x (original price)
[tex]= 155-0.30\times 155\\\\=155-46.5\\\\=\$\ 108.5[/tex]
Tax = Tax rate x (Price after discount)
[tex]= 0.08 \times 108.5[/tex]
= $ 8.68
Final price for sneakers = Price after discount + Tax
= $ (108.5+8.68)
= $ 117.18
Hence
If Greg is hosting a BBQ and he needs 50 corn on the cobs. A package of 5 costs $3.25. How much money does he need to get the 50 corn on the cobs?
Answer: $32.5
Step-by-step explanation:
Given
Greg needs 50 corns on the cobs
A package of 5 costs $3.25
For 50 corns, he needed 10 package
So, cost of 10 packages is
[tex]\Rightarrow 10\times 3.25\\\Rightarrow \$32.5[/tex]
