Answer:
The expression is [tex]y = 64 + x^{3}[/tex].
Step-by-step explanation:
Let be [tex]\log y = 3\cdot (\log 4 + \log x)[/tex], the "log" component is refered to logarithms with base 10. By definition of logarithm and its properties, we derive an expression of [tex]y[/tex] in terms of [tex]x[/tex]:
[tex]\log y = 3\cdot (\log 4 + \log x)[/tex]
[tex]10^{\log y} = 10^{3\cdot (\log 4 + \log x)}[/tex]
[tex]y = 10^{3\cdot \log 4}+10^{3\cdot \log x}[/tex]
[tex]y = 10^{\log 4^{3}}+10^{\log x^{3}}[/tex]
[tex]y = 64 + x^{3}[/tex]
The expression is [tex]y = 64 + x^{3}[/tex].
Determine the length of the hypotenuse. Round your answer to the nearest tenth, if necessary.
Answer:
12.7
Step-by-step explanation:
[tex]9^{2}+9^{2}= 162\\\\\sqrt{162}= 12.7[/tex]
Andrew has a monthly cell phone bill. He pays a
monthly fee and a cost per minute. The graph to the
right shows his
cost per month depending on the
minutes used. What is the monthly fee for Andrew's
phone bill?
A. $49
B. $120
C. $60
D. $72
Answer:
C, $60
Step-by-step explanation:
It is where the graph starts even with 0 minutes.
y=6x+4
y=-3-5
how would you find the x and y values?
Step-by-step explanation:
Substitution
substitute -3-5 into y
it becomes -3-5=6x+4
solve the equation to find the answer for X
then substitute the value of X you found again into the equation to find Y
Select the correct answer.
Consider the first four terms of the sequence below.
-3, -12, -48, -192, . . .
What is the 8th term of this sequence?
A.
-196,608
B.
-49,152
C.
-12,288
D.
-768
Answer:
D
Step-by-step explanation:
The value of 8th term of this sequence is,
⇒ a (8) = - 49,152
What is Geometric sequence?An sequence has the ratio of every two successive terms is a constant, is called a Geometric sequence.
Given that;
Consider the first four terms of the sequence are,
⇒ -3, -12, -48, -192, . . .
Here, Common ratio is,
⇒ - 12 / - 3
⇒ 4
Thus, The sequence are in Geometric sequence.
Hence, The value of 8th term of this sequence is,
⇒ a (8) = - 3 × (4)⁸⁻¹
⇒ a (8) = - 3 × 4⁷
⇒ a (8) = - 3 × 16,384
⇒ a (8) = - 49,152
Thus, The value of 8th term of this sequence is,
⇒ a (8) = - 49,152
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In ΔFGH, the measure of ∠H=90°, FG = 94 feet, and HF = 73 feet. Find the measure of ∠G to the nearest degree.
Answer:
51
Step-by-step explanation:
Topografía. La superficie de una montaña se modela mediante la ecuación ℎ(, ) = 5000 − 0.001 2 − 0.004 2 . Un montañista se encuentra en el punto (500, 300, 4390). ¿En qué dirección debe moverse para ascender con la mayor rapidez?
Respuesta:
(-1, - 2,4)
Explicación paso a paso:
Dada la función:
ℎ (x, y) = 5000 - 0,001x2 - 0,004y2
Tomando la derivada parcial con respecto a ambas direcciones (xey) se obtiene la dirección del vector de gradiente, donde es posible el movimiento más rápido
H '(x, y) = (dh / dx, dh / dy)
dh / dx = 2 (-0.001x) = - 0.002x
dh / dy = 2 (-0.004y) = - 0.008y
H '(500, 300) = (- 0,002 (500); - 0,008 (300))
H '(500, 300) = (- 1; - 2,4)
Por lo tanto, el montañista ascenderá con la mayor velocidad en el punto (-1, - 2.4)
Shannon graphed the system of equations.
7x – 4y= –8
y = y equals StartFraction 3 over 4 EndFraction x minus 3.x – 3
A coordinate grid with 2 lines. The first line passes through (0, negative 3) and (negative 4, negative 6). The second line passes through (0, negative 2) and (negative 4, negative 6). The lines appear to cross at about negative 5 and between negative 6 and negative 8.
What is the closest approximate solution to the system of equations?
(–5, –7.2)
(–5, –6.8)
(–5, –6.2)
(–5, –5.9)
Answer:
b
Step-by-step explanation:
Answer:
b
Step-by-step explanation:
what is 8 030 070 in words
Answer:
eigth million thirty thousand seventy
Rebecca wants to prove that if the diagonals in parallelogram are perpendicular, then it is a rhombus. Select the appropriate rephrased statement for Rebecca's proof
Answer:
The answer is C
Step-by-step explanation:
Khan Academy
Answer:
C
Step-by-step explanation:
If there was only one government class, and Wes and Maureen were in that class of 38 students, what would be the probability that both Wes and Maureen would be selected as the two students to go to Washington? Is this still an example of independent events
The probability of an event is 1/19. Therefore, the given situation is not an independent event.
Given that, Wes and Maureen were in the government class of 38 students.
What is the probability?Probability can be defined as the ratio of the number of favourable outcomes to the total number of outcomes of an event.
We know that, probability of an event = Number of favourable outcomes/Total number of outcomes
Total number of outcomes =38
Number of favourable outcomes = 2
So, probability =2/38
= 1/19
Two events are independent if the occurrence of one event does not affect the chances of the occurrence of the other event.
The probability of an event is 1/19. Therefore, the given situation is not an independent event.
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Marcus ate one-half of a pizza with a radius
of 7 inches. If the pizza has 8 calories per square
inch, how many calories did he eat?
Answer:
175.929
Step-by-step explanation:
7pi = area of half of pizza
21.99x8 = calories in half of pizza
At the craft store, Maureen bought a bag of yellow and red marbles. She received 30 marbles in all. 24 of the marbles were yellow. What percentage of the marbles were yellow?
At Johnny's Swimwear, 75% of the 100 swimsuit styles are bikinis. How many bikini styles are there?
Answer:
75 swimsuits are bikinis
Step-by-step explanation:
75% as a fraction is 75/100, so 75 of the 100 swimsuits are bikinis.
Answer:
There are 75 bikini styles
Step-by-step explanation:
This is because 75% of 100 is 75 and if there are 100 different styles of swinsuits and 75% of them are bikinis then there are 75 different bikini styles
how many ounces are equal to 1 1/2 pounds
Find the radius of a circle with an area of 1017.36 in?, Use 3.14 for pi
area of a circle = πr², where r = the radius of the circle
We can rearrange the formula to solve for r:
[tex]r=\sqrt{\frac{\mathrm{area}}{\pi}}.[/tex]
Given an area of 1017.36 in² and using 3.14 for our value for π, the radius of our circle would be:
[tex]r=\sqrt{\frac{\mathrm{area}}{\pi}} = \sqrt{\frac{\textrm{1017.36 }\mathrm{in^2}}{3.14}} \\ r = 18 \text{ } \mathrm{in^2}.[/tex]
x+y=-9. I need help asap! Thank you!
Answer: -5 and -4
Step-by-step explanation:
Answer:
-6, -3
-9, 0
20, -29
-5,-4
etc.
Step-by-step explanation:
There are many. Did they give you any other info???
What is the center and radius of the circle?
(x-1)^2 + y^2= 36
Answer:
Center = ( 1, 0)
Radius = 6 units
Step-by-step explanation:
[tex] {(x - 1)}^{2} + {y}^{2} = 36 \\ \\ {(x - 1)}^{2} + {(y - 0)}^{2} = {6}^{2} \\ \\ equating \: it \: with \\ \\ {(x - h)}^{2} + {(y - k)}^{2} = {r}^{2} \\ \\ h = 1 \\ k = 0 \\ r = 6 \\ \\ Center = (h, \: k) = (1, \: 0) \\ Radius \: = 6 \: units[/tex]
The school buses at a middle school each hold 38 students. The school has, b, buses.
Write an equation that shows the total number of students, s, that can be carried by all of its buses.
Answer:
38b = s
Step-by-step explanation:
38 students multiplied by the number of buses = the total number of students that can be carried by bus.
Please lmk if you have questions
Tiffany used to live 15 kilometers away from the school, but after she moved she now lives 9.9 kilometers away. Is this an increase or decrease?
Answer:
it is a decrease
Step-by-step explanation:
hope that this helps
also why is this question so easy for a high schooler im in middle school and was able to figure it out
i need help can someone help me
the mode is $6.00
thats the number there is the most of
Evaluate the expression for v = 8
V = 8, because it can’t be simplified any further.
The temperature was less than -15°C. Write an equality and three possible solution.
Answer:
x < -15*C (I can’t make the degrees sign on my iPad, so I put * instead).
3 Possible Answers:
-38*C
-26*C
-57*C
Step-by-step explanation:
Inequality:
x = temperature
< = less than
-15*C = the amount the temperature was less than
3 Possible Outcomes:
Because the temperature is less than -15*C, it can literally be any number that is farther down the number line. Because it’s a negative number, anything like -14, -13, -12, and so on would actually have a greater value (think of it as in being less in debtm or in this case, less below zero). Instead, you’ll do any number like -16, -17, -18, and so on. You can even do a decimal number, like -19.5. I hope this makes sense to you!
Pleas help! this is very hard!
Answer:
190
72
36
Step-by-step explanation:
Answer:
190
72
36
hope that helps
answer 2x + 5 = 4x - 5
Answer:
QUESTION:
answer 2x + 5 = 4x - 5
ANSWER:
Isolate the variable by dividing each side by factors that don't contain the variable.
x = 5
Step-by-step explanation:
Hope that this helps! :)
Have a great rest of your day/night!
Answer:
x = 5
Step-by-step explanation:
2x + 5 = 4x - 5First you will need to add 5 to each side.
2x + 10 = 4xThen you need to subtract 2x to each side.
10 = 2xLastly, you will need to divide each side by 2.
5 = xHave a nice day!A manager at a factory finds that in a random sample of 250 watches, 3 are defective. Of the 7,500 watches from which the sample was chosen, about how many watches are not defective?
Answer: 7410 watches
Step-by-step explanation:
From the random sample of 250 watches, 3 are defective. The percentage that's defective will be:
= 3/250 × 100
= 1.2%
Percentage that's not defective = 100 - 1.2 = 98.8%
Therefore, from the sample of 7500 watches, the number that's not defective will be:
= 98.8% of 7500
= 98.8/100 × 7500
= 7410
Therefore, 7410 watches aren't defective
Write a number y divided by 6 as an expression.
Answer:
y ÷ 6.
Step-by-step explanation:
An expression is a combination of a number(s) and a variable.
Here, we simply need to write the expression from the word problem in mathematical form.
"Number" is unknown.
Variables are used to represent an unknown value.
(The variable in this expression is y).
The word problem says a number y divided by 6.
This simply means: y ÷ 6.
Pls help What is the volume of the following pyramid?
Answer:
It is c) 18 cm^3
Step-by-step explanation:
[tex]v = 3 \times 3 \times 2 \\ v = 18 \: {cm}^{3} [/tex]
I hope that is useful for you :)
Look at the figures. How can you prove the triangles are congruent?
1 Kembangkan setiap yang berikut.
(a) 3x(2 - xy)
(b) (4p + 9(-2)
Answer:
6x*2-3x*2y
4p-18
Step-by-step explanation:
Tell whether the side lengths 18, 24, and 30 would form a right triangle?*
O Yes
O No
O Not enough information
Answer:
yes 18 24 and 30 does form a right triangle