Answer:
586
to find surface area you have to add the areas of each surface
2(13 × 8) + 2(13 × 9) + 2( 8×9)
586 inches squared
Solving Logarithmic Equations
不
Identify the solution set of 3 In 4 = 2 In x.
o {6}
O {-8, 8}
o {8}
DONE
(8)
Answer:
Step-by-step explanation:
3ln(4) = 2ln(x)
ln(4³) = ln(x²)
4³ = x²
(2²)³ = x²
2⁶ = x²
x = ±√2⁶ = ±2³ = ±8
However, the argument of a logarithm must be positive, so x=8.
The solution set of the equation is {8, -8}, but we can discard the negative solution as it is not physically meaningful in this context. So, the final solution set is {8}. Option D is correct.
To solve the equation, we can use the logarithmic identity that states:
n * log(a) = log(aⁿ)
Using this identity, we can rewrite the equation as:
In(4³) = In(x²)
Simplifying both sides using the natural logarithm properties, we get:
In(64) = In(x²)
Taking the exponential of both sides, we have:
[tex]e^{In 64} = e^{In x^2}\\64 = x^2[/tex]
Taking the square root of both sides, we get:
x = ±8
However, we must check if either of these solutions makes the argument of the natural logarithm negative, which is not allowed. Since the argument of the natural logarithm is positive for both x = 8 and x = -8, both solutions are valid.
Therefore, the solution set of the equation is {8, -8}, but we can discard the negative solution as it is not physically meaningful in this context. So, the final solution set is {8}.
Learn more about logarithmic function here:
https://brainly.com/question/3181916
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In ABCD, BC = DB and m B = 62°. Find m D.
Answer:
59 degrees
Step-by-step explanation:
180-62=118
118/2=59
What is the area of rectangle CDEF?ILL GIVE BRAINLIEST
Answer:
180 is the answer
Step-by-step explanation:
To find out areas of rectangles, you have to count the left side of the rectangle which is (12) and then count the bottom of the rectangle which is (15)
Then multiply 12 times 15 to find out the area
15 x 12= 180
what do you mean CDEF
and can I get brainliest?
. Shawn gets an allowance of $18 each week and his sister Natasha gets an allowance of $9 each week. Shawn saves 1/2 of his allowance, and Natasha saves 2/3 of her allowance. Suppose Shawn started with $0 savings, and Natasha started with $30. How many weeks will it take until they have the same amount in savings?
Answer:
Shawn and Natasha have same amount in savings after [tex]10[/tex] weeks.
Step-by-step explanation:
Shawn gets an allowance of $18 each week.
Amount saved by Shawn = [tex]\frac{1}{2}(\$18)=\$9[/tex]
Natasha gets an allowance of $9 each week.
Amount saved by Natasha = [tex]\frac{2}{3}(\$9)=\$6[/tex]
Suppose that Shawn and Natasha have same amount in savings after [tex]x[/tex] weeks.
Also, Shawn started with $0 savings, and Natasha started with $30.
So,
[tex]9x=30+6x\\9x-6x=30\\3x=30\\x=10[/tex]
Therefore,
Shawn and Natasha have same amount in savings after [tex]10[/tex] weeks.
HIII !! I NEED HELPPP LIKE NOWW !! :)
(just #19)
Kim was sitting in row 5, seat 8 at a soccer game when she discovered her ticket was for row 2, seat 3. Write a rule to describe the translation needed to put her in the proper seat.
Answer:
Step-by-step explanation:
We can assume we are seeing these seats as points on a graph with her current position being (8, 5) and her destination being (3, 2). Using these values Kim would need to follow the following rules...
Move 3 positions down to point/seat (8, 2)
Move 5 positions to the left to point/seat (3,2)
Following these instructions, she would correctly transition to the correct seat.
Ruben adds some water to a glass of juice. The ratio of water to juice in his glass in now 4:6. Which fraction below represents this ratio? A 3/5 C 2/3 B 3/2 D 2/5
Answer:
C
Step-by-step explanation:
since we're being told to convert the ratio to fraction then it is C. note that 4 ratio is also the same as dividing 4 by 6
please help me with this and explain. It’s due in a bit :/
Answer:
choice D
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
they have similar angles and similar sides, and the description choice D gives is also correct
Ted and Carlos are selling cookie dough for a school fundraiser. Customers can buy packages of sugar cookie dough and packages of gingerbread cookie dough. Ted sold 13 packages of sugar
cookie dough and 7 packages of gingerbread cookie dough for a total of $135. Carlos sold 13 packages of sugar cookie dough and 11 packages of gingerbread cookie dough for a total of $175. Find the cost each of one package of sugar cookie dough and one package of gingerbread cookie
dough.
Answer:
the sugar cookie dough is $5 each and the gingerbread is $10 each.
Answer:
1 sugar cookie pack=$ 5
1ginger cookie pack=$10
Step-by-step explanation:
13x+ 7y=135
13x+ 11y= 175
by subtraction
4y=40
y=10
substituting the value of y in any of the above equation
13x+7×10= 135
13x+70=135
13x=135-70
13x=65
x=65/13
x=5
A sports tournament has d teams. Each team has 15 players. Using d, write an expression for the total number of players in the tournament.
Answer:
d x 15=total players.
Step-by-step explanation:
dx15=total number of players in the tournament.
Answer:
15d
Step-by-step explanation:
If there are d teams and 15 people in each team d x 15 = 15d
complete the square to solve 3x^2+12x=9
A. x=3+√6
B. x=2+√7
C. x=-2+√7
D. x=-2+√13
Step-by-step explanation:
3 {x}^{2} + 12x - 9 = 0
[tex] \frac{ - (12) \binom{ + }{ - } \sqrt{ {12}^{2} - 4(3)( - 9)} }{2(3)} [/tex]
a 50 cm tall object is 3.0 m from a place mirror. the image will be _ not real
!Help Please!
Find the volume of this cylinder
Answer:
V~1911
Step-by-step explanation:
7^2=49
3*49=147
147=1911
V~1911
Enter an algebraic expression for the word expression.
twice a number x, minus 11
The expression is
Answer:
2x - 11
Explanation:
We multiply x by 2 which gives us 2x, then subtract it by 11 which gives us 2x - 11.
I hope this helps!! ^-^
Answer:
2x-11
Step-by-step explanation:
twice a number x= 2x
minus 11= (-11) after 2x
evaluate 5 using logarithms
Answer:
log(5)= 0.699
Answer:
Step-by-step explanation:
0.7925
In ΔMNO, \overline{MO} MO is extended through point O to point P, \text{m}\angle NOP = (7x-17)^{\circ}m∠NOP=(7x−17) ∘ , \text{m}\angle MNO = (x+20)^{\circ}m∠MNO=(x+20) ∘ , and \text{m}\angle OMN = (3x-7)^{\circ}m∠OMN=(3x−7) ∘ . Find \text{m}\angle NOP.M∠NOP
Answer:
∠NOP = 53°
Step-by-step explanation:
According to exterior angle theorem,
In a triangle, an exterior angle is equal to the sum of the two opposite interior angles.
∠NOP = ∠MNO + ∠OMN
Put ∠NOP = ( 7x - 17)°, ∠MNO = (x + 20)° and ∠OMN = (3x - 7)°
[tex]7x-17=x+20+3x-7\\7x-17=4x+13\\7x-4x=13+17\\3x=30\\x=10[/tex]
Therefore,
∠NOP = ( 7(10) - 17)° = (70 - 17)° = 53°
Geometry, please help
Answer:
Answer below.
Step-by-step explanation:
CDEF = MSKX
FCD = XMS
ED = XS
CFE = MXK
XK = FE
The table summarizes data about the median debt for
graduating students from a sample of universities in two
states, California and New York
median debt less than
$9.000
median debt at least
$9.000
total
California
universities
130
445
575
shoe preference
New York
universities
271
343
total
202
716
918
concludes that
so possible
ation between
d shoe
ence is Jada's
sion reasonable?
n your reasoning
Is there an association between the state and the amount
of median debt for graduates? Explain your reasoning.
Answer:
No
Step-by-step explanation:
There is no association between the state and the debt level for graduates because when all put into precentages they are all about the same.
4 points
4.) How could we determine who has the greater total change in the
amount of juice in their carton?
Felicia pours juice from a carton into a glass. Every time she fills the glass, the
amount of juice in the carton changes by -0.44 L. She fills her glass 2 times in
all. Bernadette has a different carton of juice that is the same size. Every time she
fills her glass, the amount of juice in her carton changes by -0.42 L. She fills her
glass 2 times in all. Who has
the greater total change in the amount of juice in
their carton?
A. 2 3/4 multiplied by (-0.44) and 2 2/3 multiplied by (-0.42)
B. 2 3/4 divided by -0.44 and 2 2/3 divided by -0.42
Answer:
A is the answer you sent on the question on carton
Roland bought 6 tickets for him and his family to attend the high school basketball game. He bought a combination of student tickets for $3 each and adult tickets for $5 each. If he spent a total of $24 on the tickets, which system of equations could be used to find the number of student tickets, x, and the number of adult tickets, y, he bought?
Answer:
RM 21 for student and for adults
Find the area of the polygon.
2cm 2cm 3m
Answer:
If its a specific shape then probably the formula would be different.
If it were to be a parallelogram then multiply all given lengths
2 x 2 x 3 = 12cm
hey I'm chloe can you help me, i will give Brainlest, Thank you :)
Cylender A has a radius of 4 inches and height of 2 inches. Cylinder B has a radius of 2 inches. What is the height of cylinder B if both cylinders have the same volume?
Answer:
Cylinder B: The height would be 8 inches.
Step-by-step explanation:
Answer:
8
Step-by-step explanation:
V = A * h
CA = 4² = 16 * 2 = 32π
CB = 2² = 4 * 8 = 32π
PLEASE HELP WILL GIVE BRAINLIEST!!!
Answer:
angle U ( the third option down)
Step-by-step explanation:
Of the last 6 trains to arrive at Norwood Station, 3 were on
time. What is the experimental probability that the next train
to arrive will be on time?
write the answer as a decimal rounded to the nearest tenth
Answer:
5/6 chance
Step-by-step explanation:
can someone please Solve this equation for me 2x – 3 = 9
Answer:
x=6
Step-by-step explanation:
Hello There!
Our whole objective is to isolate the variable (x) by using inverse operations
2x-3=9
to get rid of the -3 we add 3
Remember whatever we do to one side we have to do to the other side so we add 3 to each side
-3+3 cancels out
9+3=12
now we have
12=2x
now to get rid of the 2 we divide by 2
so we divide each side by 2
2x/2=x
12/2=6
we´re left with
x=6
An art teacher is buying clay by the pound. The teacher buys pounds of clay for $7.50.
How much will pounds of clay cost?
Answer:$1.23
Step-by-step explanation:
hi what’s the answer to this question
Answer:
yes, x and y are in a proportional relationship
Step-by-step explanation:
The relationship is proportional if the graph is a straight line through the origin. This graph is, so the relationship is proportional.
A rectangle has a length of 7 cm and a width of (3x+4)cm. Which expression represents the perimeter?
Answer:
2{7 + (3x + 4)} represents the perimeter of the rectangle
Ted has the following triangle dimensions.
side length of 8
side length of 14
side length of 23
How many triangles can he construct?
He can construct only one triangle.
He can construct two triangles.
He can construct three triangles.
He cannot construct a triangle.
Answer:
He cannot construct a triangle
Step-by-step explanation:
In order to construct a triangle the two shorter sides added together have to be greater than the longest side if that makes sense
So basically 8+14 has to be greater than 23 in order for it to be side lengths of a triangle
8+14=22
22 is not greater than 23 therefore he cannot create a triangle
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Step-by-step explanation:
its D :)
find the mean of the given data. 147 141 120 124 128