Answer:
[tex]{ \tt{ log_{3}(x + 9) = 5 }} \\ { \tt{x + 9 = {3}^{5} }} \\ { \tt{x + {3}^{2} = {3}^{5} }} \\ { \tt{x = {3}^{5} - {3}^{2} }} \\ { \tt{x = 234}}[/tex]
Write in factored form
m^2 - n^4
The answer is : [tex]\left(m+n^2\right)\left(m-n^2\right)[/tex]
Here are the steps below to help you! ^^
A diesel generator produced 1,800 kilowatt hours of
electrical energy in 4 hours and consumed 36 gallons
of diesel per hour in the process. How many kilowatt
hours of electrical energy are produced by the
combustion of 1 gallon of diesel?
A) 12.5
B) 45
C) 50
D) 80
The Vertices of a quadrilateral are A(4,-3),B(7,10),C(-8,2)and D(-1,-5).Find the length of each diagonal.Show me with the steps Please!
Answer:
13 and 17 units
Step-by-step explanation:
explaination is in pic.
The length of the diagonals of the quadrilateral AC and BD are 13 units and 17 units respectively, as per length between two points.
What is the length between two points in a plane?The length between two given points (x₁, y₁) and (x₂, y₂) will be:
√[(x₂ - x₁)² + (y₂ - y₁)²] units
Given, the vertices of a quadrilateral are A(4,-3),B(7,10),C(-8,2)and D(-1,-5).
Therefore, the diagonals of the quadrilateral will be AC and BD.
The coordinates of the diagonal AC are (4, - 3) and (- 8, 2).
Now, the length of the diagonal AC will be:
= √[(-8 - 4)² + (2 - (- 3))²] units
= √[(- 12)² + (5)²] units
= √[144 + 25] units
= √(169) units
= 13 units (length can't be negative)
Similarly, the coordinates of the diagonal BD are (7, 10) and (- 1, - 5).
Now, the length of the diagonal BD will be:
= √[(-1 - 7)² + (- 5 - 10)²] units
= √[(- 8)² + (- 15)²] units
= √[64 + 225] units
= √(289) units
= 17 units (length can't be negative)
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Here are two fractions 3/10 and 5/7 work out which one is closer to a 1/2
Answer:
Therefore 3/10 is closer to ½
Step-by-step explanation:
We've to get the difference:
» with 3/10 :
[tex] \frac{1}{2} - \frac{3}{10} = { \boxed{\frac{1}{5} }}[/tex]
» with 5/7
[tex] | \frac{1}{2} - \frac{5}{7} | = { \boxed{ \frac{3}{14} }}[/tex]
but:
[tex] \frac{3}{14} > \frac{1}{5} [/tex]
Among both the given fractions, the one that is closer to a ½ is 3/10.
What is a fraction?A number that is stated as a quotient in mathematics, when the numerator and denominator are split in half. Both are integers in a straightforward fraction. In the numerator or denominator of a complex fraction is a fraction.
An element of a whole or, more broadly, any number of equal pieces, is represented by a fraction. When used in conversational English, a fraction indicates the number of components of a particular size, as in one-half, eight-fifths, and three-quarters.
A fraction is a number that represents a portion of a whole. In order to evaluate it, a whole is divided into a number of components. A correct fraction has a numerator that is lower than its denominator.
Required calculations are done with both the fractions,
1/2 - 3/10 = 1/5
1/2 - 5/7 = 3/14
3/14 ≥ 1/5
Therefore, among both the given fractions, the one that is closer to a ½ is 3/10.
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find the surface area of the cylinder and round to the nearest tenth
Answer: A = 833.66 in^2
Step-by-step explanation:
Area of the base = (7^2)(pi) = 49 pi = 153.9 in^2
Height of the cylinder = 12 in
Circumference of the base = (2)(pi)(r) = 44in
Surface area = (2)(pi)(7)(12) + (2)(pi)(7) = 833.66 in^2
Please help me I’m confused
A midpoint is a point that divides a given line into two equal halves.The answers to the questions are:
1. BC = 89
b. AB = 45
c. AC = 44
2. The coordinate of I is 2.5
3. J = 19
4. MQ = 32
5. NO = 13
6. NO = 23
b. MN = 25
A line segment can be divided into different fractions. Where the point that divides the line segment into equal parts is the midpoint. however, number line is a system that shows the location or positions of all directed numbers.
The given questions can be solved as follows:
1. Given that point A is between BC and AB = 4x -3, BC = 7x + 5, AC = 5x - 16
But,
BC = AB + AC
7x + 5 = (4x -3) + (5x - 16)
= 9x - 19
7x + 5 = 9x - 19
19 + 5 = 9x - 7x
24 = 2x
x = [tex]\frac{24}{2}[/tex]
x = 12
So that;
a. BC = 7x + 5
= 7(12) + 5
BC = 89
The value of BC is 89.
b. AB = 4x -3
= 4(12) - 3
AB = 45
Thus AB has a value of 45.
c. AC = 5x - 16
= 5(12) -16
AC = 44
The value of AC is 44.
2. Given that H is the mid point of GI, and G = 8, I = -3.
Then;
I = 2.5
The coordinate of I is 2.5
3. A midpoint is a point that divides a line segment in to two equal halves. Given that J is the midpoint of KL. KL = 38
J = [tex]\frac{KL}{2}[/tex]
= [tex]\frac{38}{2}[/tex]
J = 19
The value of the midpoint J is 19.
4. It can be deduced from the conditions given in the question that:
MQ = MN + NO + OP + PQ
= 8 + 8 + 16 (NB: OP + PQ = 16)
MQ = 32
Thus, value of MQ is 32.
5. Since P is the mid point of NQ, and OP = 11, OQ = 35
Then;
PQ = OQ - OP
= 35 - 11
PQ = 24
Since, PQ = NP =24
Then;
NO = NP - OP
= 24 - 11
NO = 13
NO has a length of 13.
6. NO = 2y + 11, OP = 3y - 2, NP = 6y + 3 and MP = 64.
But,
NO + OP = NP
(2y + 11) + (3y - 2) = 6y + 3
5y + 9 = 6y + 3
9 - 3 = 6y - 5y
y = 6
So that;
a. NO = 2y + 11
= 2(6) + 11
NO = 23
Here, the value of NO is 23.
b. MN = MP - NP
But,
NP = 6y + 3
= 6(6) + 3
NP = 39
Then;
MN = 64 - 39
MN = 25
So that MN has a value of 25.
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Last week, Gina's art teacher mixed 9 pints of red paint with 6 pints of white
paint to make pink. Gina mixed 4 pints of red paint with 3 pints of white
paint to make pink.
Yesterday, Gina again mixed red and white paint and made the same
amount of paint, but she used one more pint of red paint than she
used last week. Predict how the new paint color will compare to the
paint she mixed last week.
Answer:
Step-by-step explanation:
First mix: 4 pints red and 3 pints white = 7 pints in 4:3 ratio.
Second mix: 5 pints red and 2 pints white = 7 pints in 5:2 ratio
Second music is redder than first mix.
Which table represents a function?
Answer:
The last one
Step-by-step explanation:
All the other tables have repeating x values
I hope this helps!
pls ❤ and give brainliest pls
which of the following is equal to square root ^3 square root 2
Answer:
[tex]2^{\frac{1}{6} }[/tex]
Step-by-step explanation:
(2^1/3)^1/2 = 2^(1/3 x 1/2) =2^1/6
of (3, -2) reflected across the line x = 1 is?
Answer: (-1, -2)
===========================================================
Explanation:
Plot (3,-2) on the xy grid. Then draw a vertical line through 1 on the x axis.
Note that the horizontal distance from the point to the line is exactly 2 units. We move 2 units to the left to go from (3,-2) to (1,-2). Then we move another 2 units to the left to arrive at the final destination of (-1, -2)
In short, (3,-2) reflects over the vertical line x = 1 to get to (-1, -2)
See the diagram below.
Need answers now. Not good with geometry or Algebra.
Answer:
x = 4.98
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
sin theta = opp / hyp
sin 50 = x/6.5
6.5 sin 50 =x
x=4.97928
x = 4.98
Simplify
1)a³b⁴/ ab³
2)2 (x³ )²
3)3x*2x³ y²
Answer:
1) a³b⁴/ ab³ = a²b
2)2 (x³ )² = 2x^6
3)3x*2x³ y² = 6x⁴y²
42°
Х
please help with this
Answer:
X=48degrees.
Step-by-step explanation:
Sum of all angle of traingle=180degrees.
So, 90+42+X=180
132+X=180
X=180-132=48degrees
Can i please get this answered
Answer:
0 is the answer . The explanation is in the attachment .
A storeowner orders 25 calculators that cost $38 each. The storeowner can sell each calculator for $42. The storeowner sold 22 calculators to customers. He had to return 3 calculators that were never sold and pay a $2 charge for each returned calculator (although the initial cost is refunded). What is the storeowner's profit?
Answer:
Step-by-step explanation:
25*-30= -$750
Second: He sells 22 of those calculators for $35 each, so he is making money.
22*35= $770
Third: With the remaining three calculators, he must pay $2 each for returned calculators, so he is losing money again.
3*-2= -6
Add all the costs and sales together, and you get 770-750-6= $14 profit
However, the problem does not say if he gets his money back for the 3 returned calculators. In that case if he did, you would add the cost of each of those calculators to his profit. 30*3= 90
$90+$14= $104 profit
here u go
Na
C
9
Which rule describes the transformation?
Parallelogram ABCD is rotated to create image
A'B'C'D'.
SEE
0 (x, y) - (y, -x)
O (x, y) + (-y, x)
O (x, y) + (-X, -y)
(x, y) - (x,-y)
5
VX
4
R
D
2
1
C
-5.-5.4.-3.-2.-
23
4
SIB
Х
2
D
A
C
B
no
Answer:
(x, y) → (y, -x)
Step-by-step explanation:
The coordinates of the vertices of parallelogram ABCD are; A(2, 5), B(5, 4), C(5, 2), and D(2, 3)
The coordinates of the vertices of parallelogram A'B'C'D' are; A'(5, -2), B'(4, -5), C'(2, -5), and D'(3, -2)
The rule that escribes the transformation of the rotation of parallelogram ABCD to create the image A'B'C'D' is presented, by observation, is therefore;
(x, y) → (y, -x)
The resulting transformation used will be (x, y) -> (y, -x)
Transformation of coordinatesTransformation are rules applied to an object to change its orientation
For the given parallelogram, in order to know the rule used, we need the coordinate of the image and preimage
The coordinate of A is (2, 5) while that of A' is (5, -2).
From both coordinates, you can see that the coordinate was switched and the resulting y coordinate negated.
Hence the resulting transformation used will be (x, y) -> (y, -x)
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The sum of two numbers is 83 if one of the number is 7 more than the other find the two numbers?
Answer:
48.5 and 34.5
Step-by-step explanation:
83 divided by 2 and then subtract 7
Answer:
45 and 38 equal 83 and 45 is 7 more than 38
PLS HELP. write as an expression. thank you:)
Answer:
[tex]x^{\frac{3}{2} } p^{6}[/tex]
Step-by-step explanation:
Find the value of a. A. 57 B. 104 C. 26 D. 52
Answer:
Option D, 52
Answered by GAUTHMATH
PLS HELP ME ON THIS QUESGTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER PLS GIVE ME A STEP BY STEP EXPLANATION!!
The difference between the largest and smallest values in a data set is the ______________.
A. mean
B. mode
C. median
D. range
Answer:
D. Range
Step-by-step explanation:
The definition of range is as the question says, and we can also use the process of elimination to make sure it's not the others.
A mean is the average of a data set.
A mode is the item that appears the most times.
And a median is the middle number.
As you can see, A, B, C all don't fit the given statement in the question, so it is D. Range.
I hope this helped! :D
A scientist started with a sample of 8 cells. The sample increased as shown in the table.
Assume that the pattern in the table continues. Which equation can be solved for t, the time in hours when the number of cells will reach 100,000?
A
8⋅t4=100,000
B
8⋅4t=100,000
C
4⋅t8=100,000
D
4⋅8t=100,000
Answer:
100000 = 8 (4) ^t
Step-by-step explanation:
We are multiplying by 4 each time
y = a (4)^t
The initial amount is 8
y = 8 (4)^t
We want to get to 100000
100000 = 8 (4) ^t
Answer:
B
8 ⋅ 4^t = 100,000
Step-by-step explanation:
Warren is on vacation and needs to arrange transportation. A rental car costs 40 dollars per day plus a one-time cost of 14 dollars for insurance. Construct a function C(x) that gives the total cost of renting a car for x days. C(x)=________.
If Warren has budgeted 254 dollars for the rental, how many days can he afford?
Answer:
C(x)=40x+14, 6 days
Step-by-step explanation:
C(x)= payment per day*x + initial payment. the payment per day is $40 while the initial payment is $14. so C(x)=40x+14.
C(x)=254=40x+14, 40x=240, x=6
I don't understand this one
Answer:
9/8 = n
Step-by-step explanation:
9 = 8n
Divide each side by 8
9/8 = 8n/8
9/8 = n
You move down 5 units and up 5 units. You end at (1,3). Where did you start?
Answer:
(1, 3)
Step-by-step explanation:
Since up and down are opposites, the point didn't move at all.
I hope this helps!
pls ❤ and mark brainliest pls!
I need help, please come answer this
Answer:
[tex]8 \times \frac{15}{5} - (5 + 9) \\8 \times 3 - (14) \\ 24 - 14 \\ = 10[/tex]
I hope I helped you^_^
The Line segments are translated 2 units to the left to form A’B’ and C’D’. Which statement describes A’B’ and C’D’?
Answer:
Line segments A'B' and C'D' do not intersect and are the same distance apart as AB and CD.
Step-by-step explanation:
ABCD is a rectangle. AB = 3x+5, AC = 7x-9, BC = 2y+5, BD = 2x+62. Solve for x. (Round your answer to one decimal place, if necessary.)
Answer:
x=14.2
Step-by-step explanation:
AC = BD
The diagonals of a rectangle are equal
7x-9 = 2x+62
Subtract 2x from each side
7x-9-2x = 2x+62-2x
5x-9 = 62
Add 9 to each side
5x-9+9 = 62+9
5x= 71
Divide by 5
5x/5 = 71/5
x=14.2
what is this please tell answer
Answer:
x=6, y=4, z=8
(c) 6I hope this is helpful!
Pleaseeeee help!!!!!
Answer:
.71
Step-by-step explanation:
We only need to look at the brown eyes row
2+2+10 =14
Brown hair is 10
P(brown hair) = brown hair / total
=10/14 =5/7 = .714285714
2x - y - 4 = 0
3x + y - 9 = 0
What is the solution set of the given system?
A. {(6, 5)}
B. {(5, 6)}
C. {(13/5, 6/5)}
D. {(6/5, 13/5)}
Step-by-step explanation:
+ Both equations
You will get : 5x=13 ; x=13/5
and put x to the first equation
2*13/5-y=4
y=6/5
(13/5;6/5)
Answer is C
