Answer:
option d
Step-by-step explanation:
7:3 is the same as 28:12 which means that m is 28
Solve the quadratic equation shown below using the completing the square method. x2+6x=−17 Use the drop-down menus to choose the words or numbers to correctly complete each statement below. To solve the equation by completing the square, a first step is to add 17 to both sides of the equation. The resulting equation will be a perfect square trinomial on the left side, which can be factored into the quantity x + 3 squared, and the right side will have a value of . A next step is to take the square root of both sides to isolate the variable . will be a complex number since
Answer:
7
Step-by-step explanation:
because you just take the quadratic number and divide it by x2 and you get 7!!!
Answer:
x = - 3 ± 2i[tex]\sqrt{2}[/tex]
Step-by-step explanation:
x² + 6x = - 17
To complete the square
add ( half the coefficient of the x- term)² to both sides
x² + 2(3)x + 9 = - 17 + 9
(x + 3)² = - 8 ( take square root of both sides )
x + 3 = ± [tex]\sqrt{-8}[/tex] = ± 2i[tex]\sqrt{2}[/tex] ( subtract 3 from both sides )
x = - 3 ± 2i[tex]\sqrt{2}[/tex]
Express the given in terms of the logarithms of prime numbers:
[tex]log_{4} 405[/tex]
[tex]log_{7}(\frac{8}{81} )[/tex]
The required expression in terms of logarithm of prim numbers are;
[tex]log_4405=log_4(3^4\times 5)=log_43^3+log_45[/tex]
[tex]log_7(\frac{8}{81} )=log_7(\frac{2^3}{3^4} )=log_72^3-log_73^4[/tex]
Prime numbers are numbers that can only be divisible by 1 and itself.
From the given logarithmic expression, we will need to write 405, 8, and 81 as the product of prime numbers
405 = 3 * 3 * 3 * 3 * 5
405 = 3^4 * 5
8= 2* 2 * 2
8 = 2^3
81 = 3 * 3 * 3 * 3
81 = 3^4
The logarithm expression [tex]log_4405 \ and \ log_7(\frac{8}{81} )[/tex] can be expressed in terms of prime numbers as;
[tex]log_4405=log_4(3^4\times 5)=log_43^3+log_45[/tex]
Similarly;
[tex]log_7(\frac{8}{81} )=log_7(\frac{2^3}{3^4} )=log_72^3-log_73^4[/tex]
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Painted Pots lets customers choose and paint their own pottery. The store has teapots in
multiple sizes. Rebecca chose to paint the largest teapot offered, which cost $18. She also
painted 4 small teacups to go with her teapot. Rebecca spent a total of $42 on pottery.
3
Which equation can you use to find c, the cost of each teacup?
Time
elapse
00
09
18(C + 4) = 42
40 + 18 = 42
SmartSco
Out of 100
18C + 4 = 42
4(0 + 18) = 42
What was the cost of each teacup?
Using a linear equation, we find c using:
[tex]42 = 18 + 4c[/tex]
A linear function has the following format:
[tex]A(n) = A(0) + cn[/tex]
In which:
c is the slope, which is the price per unit.A(0) is the y-intercept, which is the fixed price.In this problem, fixed price of $18, hence [tex]A(0) = 18[/tex]
She bough 4 units, and it cost $42, hence: [tex]n = 4, A(n) = 42[/tex]
Then
[tex]A(n) = A(0) + cn[/tex]
[tex]42 = 18 + 4c[/tex]
Hence, the equation to find c is:
[tex]42 = 18 + 4c[/tex]
A similar problem is given at https://brainly.com/question/16302622
im very confused on the question attached below....can someone pls explain it with an answer?
Answer:
There doesnt seem to be a mode
Step-by-step explanation:
The mode is the number that ocurs most in the sequence
EDIT : NEVER MIND IT MIGHT BE LENGTH 8 AS THE FREQURNCY IS THE HIGHEST
solve pls brainliest
Answer:
1) No it repeating
2)No it doesn't terminate nor repeat
3) yes this terminates
4) no its repeating
Step-by-step explanation:
The function P(h) = 21h represents the total salary at a rate of $21 per
hour, P. as a function of the number of hours worked, h.
Find the total salary, when the number of hours worked is 34.
Replace h with 34:
p(h) = 21(34)
Multiply :
21x 34 = 714
Answer: $714
i asked this already but please solve this NO LINKS
Answer:
-4x^3+12x^2-1
Step-by-step explanation:
let r(t) be the rate in gallons per hour at which water enters a tank. what are the units of r'(t)?
The units of [tex]r'(t)[/tex] are gallons per square hour.
Dimensionally speaking, [tex]r(t)[/tex], expressed in gallons per hour, is length raised to third power divided by time. Capacity units are volume units.
As rate of change represents the instantaneous change of [tex]r(t)[/tex] in time, then we find that units are length raised to third power divided by time raised to second power.
Hence, the units of [tex]r'(t)[/tex] are gallons per square hour.
To learn more on dimensional analysis, we kindly invite to check this verified question: https://brainly.com/question/10874167
I really need help again any boady that can help that would be awsome I just need to know. Which goes to which Thankyou for the help
Answer:
1.A
2.D
3.B
4.C
5.D
6.A
7.C
8.C
9.D
Step-by-step explanation:
6-4x=7x-9x+2 whats the value
Answer:
x=2
Hope it's help
Brainliest plz
Answer:
x=2
Step-by-step explanation:
first collect the like term that is
6-2=7x-9x+4x
4=2x divide bothe sides by 2
X=2
POSSIBLE POINTS: 11.76
Which two equations have infinitely many solutions?
A }(6x – 12) = 2(x - 2)
B { (4x + 8) = 2x + 8
C 3(2x - 7) = 6(x – 4) - 3
D 4(x + 6) = x + 3(x + 5) +9
E 5(x + 1) = 3x + 2(x + 1) + 4
Answer:
B and D.
Brainliest please. :)
convert
b) 25 m³ to ft³
c) 11 ft² to in²
Answer:
conversions are below
Step-by-step explanation:
b) 25 m³ = 882.867 ft³
c) 11 ft² = 1584 in²
What is slope ? Help me please
Answer:
[tex]\frac{1}{3}[/tex]
Step-by-step explanation:
First, let's pick two points on the line.
I am going to pick (10, 10) and (40, 20) as they are easier to read.
Slope is rise over run, or in other words, change in y over change in x.
Let's do the math:
[tex]\frac{change.in.y}{change.in.x} =\frac{20-10}{40-10} =\frac{10}{30} =\frac{1}{3}[/tex]
So, the slope is [tex]\frac{1}{3}[/tex] which we can also check by looking at the graph, find a point then move up and over three!
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather
the reciprocal of 4 is
the answer of ur question is 0.25
[tex]\frac{7}{10} - \frac{2}{5}[/tex]
Answer:
[tex]\frac{3}{10}[/tex]
Step-by-step explanation:
First, we need to make the denominators the same.
[tex]\frac{7}{10} -\frac{2}{5} =\frac{7}{10} -\frac{2*2}{5*2}=\frac{7}{10} -\frac{4}{10}[/tex]
Then, we subtract the numerator.
[tex]\frac{7}{10} -\frac{4}{10} =\frac{3}{10}[/tex]
(Subtract): √125-√45
Answer:
2√5
Step-by-step explanation:
√125-√45
5√5 - 3√5........simplify
2√5....................combine like terms
125 √45
125 √45= √25 x /9 × 5 = 5√√5 - 3√5=2
125 √45= √25 x /9 × 5 = 5√√5 - 3√5=2hope it helps u
Please help due today
Answer:
Step-by-step explanation:
Each boundary line equation is of the form ...
y = mx + b
the value of m is the coefficient of x. The value of b is the constant. You find their values by matching the given relation to the form above, and identifying the matching parts.
y ≤ 1/2x +2 ⇒ m = 1/2, b = 2
y < -2x -3 ⇒ m = -2, b = -3
_____
The slope (m) in each case tells you how many units up (m>0) or down (m<0) the line will go for each unit to the right. The y-intercept (b) in each case gives you a starting point on the y-axis, making it easier to draw the line.
The < part of each inequality symbol tells you the graph will be shaded below the boundary line. (Y-values in the solution set are less than those on the line.) The "or equal to" part of the first inequality symbol tells you the boundary line will be solid. (Y-values on that line are part of the solution set.) The lack of that in the second inequality tells you the boundary line will be dashed.
The graph is shown in the attachment.
Solve the system by substitution. x=-y-9 6x-5y=1
Answer:
x= -64, y= 55
Step-by-step explanation:
x=-y-9
6(y-9)-5y=1
6y-54-5y=1
y=55
x=-55-9
x=-64
Answer:
{x=-4
{x= -5
Step-by-step explanation:
Substitute into one of the equations:6(- y -9) - 5y=1
Apply Multiplicative Distribution Law:- 6y-54-5y=1
Rearrange unknown terms to the left side of the equation:-6y -5y = 1+54
Combine like terms:- 11y= 1+54
Calculate the sum or difference:-11y=55
Divide both sides of the equation by the coefficient of variable:y= 55÷(-11)
Remove the parentheses:y = -55÷11
Calculate the product or quotient:y=-5
Substitute into one of the equations:x=-(-5)-9
Remove the parentheses:x=5-9
Calculate the sum or difference:x=-4
The solution of the system is:{x=-4
{x=-5.
a series of 1125 consecutive integers has a sum which is a perfect cube find the smallest possible positive sum for this series?
please show your work :)
If zero is considered to be positive, the answer is zero (0).
otherwise
562 negative consecutive integers, then 0, then 562 positive consecutive integers has a sum of zero (0).
Moving the start, the smallest integer up 1 adds 1125 to the sum.
1125 = 9 * 125
1125 = 9 * 5³
= 9³ * 5³ is the smallest sum
= 45³
= 91125
Therefore the smallest possible sum is 91125
for more questions like this see, https://brainly.com/question/19261165
A rectangle has an area of 24cm Function f gives the length of the rectangle, in centimeters when the width is w cm. Determine if each value,
in centimeters, is a possible input of the function
3 0.5 42 60
Answer:
Yes
Step-by-step explanation:
f = 24/w
Just plug in each one, would only be an error if denominator would = 0
22.45=x+5y,
27.45=x+7y
Answer
7
Step-by-step explanation:
What is the slope of the line passing through (1, 2) and (3.8)?
Answer:
The slope = 3
Step-by-step explanation:
The points are:
( 1, 2 ) = x₁ , y₁
( 3, 8 ) = x₂ , y₂
The slope is calculates as follows:
slope = [tex]\frac{y_{2} -y_{1} }{x_{2}-x_{1} }[/tex]
= [tex]=\frac{8 - 2}{3-1} \\=\frac{6}{2} \\=3[/tex]
Answer: The slope of the line is 3
Step-by-step explanation: first you take the points (1,2) and (3,8) then you put then in to the slope formula y2-y1 over x2-x1 which would be 8-2 over 3-1 which 8-2 is 6 and 3-1 is 2 therefore it would be 6/2 which simplified is 3 so the slope is three I hope this helps
74.88 is what percent of 72?
Answer:
104%
Step-by-step explanation:
what is the calculation for 70 increased by 9%
Use the diagram to complete the statement.
Given ΔJKL, cos(60°) equals sin(?)
Answer:
cos(60) = sin(30)
Step-by-step explanation:
cosine is adjacent over hypotenuse, or [tex]\frac{21}{42}[/tex] from ∠60°
sine is opposite over hypotenuse, or [tex]\frac{21}{42}[/tex] from ∠30°
Please help! please find the answer!
Answer:
I’m pretty sure it’s the bottom one
Step-by-step explanation:
30 POINTS:
Function f satisfies f(0) = 2 and f ′(0) = −2. Use this information to compute f^−1′(2).
Answer:
-1/2
Step-by-step explanation:
The relevant relationship is ...
f^-1'(x) = 1/f'(f^-1(x))
f^-1'(2) = 1/f'(f^-1(2)) = 1/f'(0) = 1/-2
f^-1'(2) = -1/2
_____
The attached graph shows the tangent lines at the relevant points. The red line is the tangent to f(0); the blue line is the tangent to f^-1(2).
The inverse function is the function reflected across the line y=x. So, too, for the tangent lines to the function. Each is a reflection of the other across the line y=x. For the purpose here, the tangent line is a suitable representation of the function at the point(s) of interest.
50 points!!! help fast! 50 points!!!
Answer:
∠PQC = 26.25°
Step-by-step explanation:
∠B and ∠C = 75°∠PCD = 1/2∠C = 37.5°∠DPC = 180 - 90 - 37.5∠DPC = 90 - 37.5∠DPC = 52.5°∠QPC = 180° - 52.5° = 127.5°Finding ∠PQC
1/2 × (180° - 127.5°)1/2 × 52.5°∠PQC = 26.25°Answer:
This calculator is helpful for deciding how many tablets/capsules to dispense and/or how many days the dispensed quantity will last. It will calculate quantity of tablets/capsules needed
Step-by-step explanation:
Pleaseeee help please
Answer:
109 degrees
Step-by-step explanation:
Since AB is a straight line, we know the line is 180 degrees in total. So, with this information, subtract 180 with 29 and 42.
I think it might be 109°. AB is a straight line so it would have a degrees of 180, so I think all you have to do is add the two other degrees (42+29) which would give you 71, and then subtract 71 from 180.
Hopefully this answer is right but sorry if it isn't.
Simplify the expression.
(6/7c)^2
A.) 12/14c^2
B.) 42c^2
C.) 36/7c D.) 36/49c^2
we have (6/7c)^2 = (6^2)/(7c)^2 = 36/49c^2
so the answer is D
ok done. Thank to me :>