Answers
Answer:
Question 1: [tex]x=4[/tex]
Question 2: [tex]x= \pm7[/tex]
Question 5: The dimensions of one face of the container are 6 by 6 inches.
Step-by-step explanation:
Hi there!
Question 1
[tex]x^3=64[/tex]
Rewrite 64 as a power of 3:
[tex]x^3=4^3[/tex]
(We could find that 4³ = 64 through trial and error)
This above equation makes it true that x=4. If aⁿ = bⁿ, then a=b:
[tex]x=4[/tex]
Question 2
[tex]x^2=49[/tex]
Rewrite 49 as a power of 2:
[tex]x^2=7^2[/tex]
Again, we could have found this through trial and error, or by looking at our multiplication tables.
[tex]x=7[/tex]
However, remember that positive and negative numbers will all square to be a positive number. So, therefore, x can be -7 OR 7 (since both, when squared, equal 49):
[tex]x= \pm7[/tex]
Question 5
Let x be equal to the length of one edge of the cube.
Volume of a cube formula: [tex]V=x^3[/tex]
Plug in the given information, when V is the volume:
[tex]216=x^3[/tex]
Rewrite 216 as a power of 3:
[tex]6^3=x^3[/tex]
^ We could have found this through trial and error.
[tex]x=6[/tex]
Therefore, the dimensions of one face of the container are 6 by 6 inches.
I hope this helps!
Related Questions
CAN ANYONE PLZ HELP ME WITH THIS WORKSHEET .. I’ll mark as brainliest
Answers
Answer:
Step-by-step explanation:
1)
We know that if [tex]x^2=9[/tex], then [tex]x=\pm \sqrt{9}[/tex], so [tex]\boxed{x=3,-3}[/tex]
2)
We know that if [tex]x^3=8[/tex], then [tex]x=\sqrt[3]{8}[/tex], so [tex]\boxed{x=2}[/tex]
3)
[tex]x^3=\frac{1}{8}[/tex] means that [tex]x=\sqrt[3]{\frac{1}{8}}=\frac{\sqrt[3]{1}}{\sqrt[3]{8}}=\frac{1}{2}[/tex].
So, [tex]\boxed{x=\frac{1}{2}}[/tex].
4)
[tex]x^3=27[/tex] means that [tex]x=\sqrt[3]{27}=\sqrt[3]{3^3}=3[/tex].
So, [tex]\boxed{x=3}[/tex].
5)
[tex]x^2=25[/tex] means that [tex]x=\pm \sqrt{25}=\pm \sqrt{5^2}=\pm 5[/tex].
So, [tex]x=5,-5[/tex].
6)
We know that the side length of the square will be [tex]\sqrt{\frac{9}{16}}=\frac{\sqrt{9}}{\sqrt{16}}=\boxed{\frac{3}{4}}[/tex].
7)
[tex]6x^2=54[/tex] means that [tex]x^2=9[/tex], which means that [tex]\boxed{x=3,-3}[/tex].
8)
[tex]2x^2+25=75[/tex] means that [tex]2x^2=50[/tex], which means that [tex]x^2=25[/tex], which means that [tex]\boxed{x=5,-5}[/tex]
What is the function?
A. Ax) = 2(2.54)
B. f(x) = 5(24)
C. 8(x) = 2.5(24)
O D. f(x) = 2.5(54)
Answers
Answer:
c
Step-by-step explanation:
In the equation 3x - 5 = 22,
where "x is the cost of a sandwich"
Diana said that "the sandwich cost $9."
Victor's answer is $5.
Who is right? Support your claim with math evidence or reasoning.
Answers
Answer:
Diana said that "the sandwich cost $9
Step-by-step explanation:
3x - 5 = 22
3x = 22 + 5
3x = 27
x = 27 / 3
x = 9
Help with question four please :)
Answers
Answer:
if you have an equation already C. if you don't have a equation you should make one B.
100 POINTS AND BRAINLIEST!!
Answers
Explanation:
15% of $2,200 = $330
7.65% of $2,200 = $168.3
3% of $2,200 = $66
$330 + $168.3 + $66 = $564.3
$564.3 + $50 (healthcare cost) = $6.14.3
$2,200 - $614.3 = $1585.70
Answer:
$1,585.70
Step-by-step explanation:
15% of $2,200 = $330
7.65% of $2,200 = $168.3
3% of $2,200 = $66
$330 + $168.3 + $66 = $564.3
$564.3 + $50 (healthcare cost) = $6.14.3
$2,200 $614.3 = $1585.70
|3 - 5 + 7|.
O 15
O 5
O -15
O -5
Answers
Answer:
5
Step-by-step explanation:
The answer is 5
because 3 - 5 = -2
and -2 + 7 = 5
so the answer is 5
please help me
Plot graph also
Answers
Here's the solution in attachment :
PLEASE HELP ME !!!!!! EASY!!!!
Answers
Answer:
JL = √38.
a = 1 and b = 38.
Step-by-step explanation:
Using Pythagoras:
(JL)^2 = (√8)^2 + (√30)^2
(JL)^2 = 8 + 30 = 38.
JL = √38.
A parking lot has 27 spaces total. if 9 of the spaces have cars in them, what is the ratio empty spaces to filled spaces?
Answers
Answer:
2 : 1
Step-by-step explanation:
27 total
9 filled
27 - 9 = 18 empty
18 : 9
2 : 1
answerrrrrrrrrrrrr plzzzzzzzzzzzzz
Answers
Answer:
65°
Step-by-step explanation:
2x= 130° (vertically opposite angles)
x= 130/2
x= 65°
Answer:
x = 65
Step-by-step explanation:
18m + (-13m) = 25 m=
Answers
Answer:
m=0
Step-by-step explanation:
i think?
PLs HElp Will give brainiest
k 12 test
1. Multiply.
(−6.8)(−0.06)
2. Multiply.
11.54⋅(−2.6)
3.Multiply.
(−2.07)(4.6)
4.The area of a garden is 12.9 square feet. Each square foot of the garden needs to have 2.6 pounds of soil.
How many pounds of soil are needed for the garden?
5. Multiply.
2.3⋅(−1.2)
a. −27.6
b. −2.76
c. 2.76
d. 27.6
Answers
Answer:
Step-by-step explanation:
1 =0.408
2=−30.004
3=−9.522
4= 33.54 pounds of soil are needed
5= b -2.76
1. Multiply (-6.8) * (-0.06) = 0.408
2. Multiply 11.54 * (-2.6) = -30.004
3. Multiply (-2.07) * (4.6) = -9.502
4. The garden needs 33.54 pounds of soil.
5. Multiply a). -27.6
When we multiply two numbers, we are essentially adding one of them multiple times based on the value of the other number. Let's go through each problem step by step.
1. To multiply -6.8 and -0.06, multiply their absolute values
(ignoring signs): 6.8 * 0.06 = 0.408.
Since both numbers are negative, the product is positive:
(-6.8) * (-0.06) = 0.408.
2. For 11.54 * (-2.6), multiply their absolute values:
11.54 * 2.6 = 30.004.
One number is negative, so the product is negative:
11.54 * (-2.6) = -30.004.
3. Multiply the absolute values of -2.07 and 4.6: 2.07 * 4.6 = 9.502.
The numbers have different signs, so the product is negative: (-2.07) * (4.6) = -9.502.
4. The area of the garden is 12.9 square feet, and each square foot requires 2.6 pounds of soil.
To find the total soil needed, multiply: 12.9 * 2.6 = 33.54. Therefore, the garden needs 33.54 pounds of soil.
5. To multiply 2.3 and -1.2, multiply their absolute values: 2.3 * 1.2 = 2.76. Since one number is negative, the product is negative: 2.3 * (-1.2) = -2.76, which matches option a.)
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Claire has 15 green beads eight blue beads and four yellow beads if she puts them onto three strings equally how many beats are on each string
Answers
Answer:
9 beads on each string
Step-by-step explanation:
Can anyone help with this algebra graphing problem???
Answers
what is 5.000 grames rounded to the nearst whole grame
Answers
Answer:
5 g
Step-by-step explanation:
it's really that easy
Answer:
5g
Step-by-step explanation:
Its so easy
PLS DO NOT PUT A LINK IT DOES NOT WORK
The statement below describes a situation in which opposite quantities combine to make zero:
A cup with a hole in it loses 2 ounces of water in the first minute and then loses 2 ounces of water in the second minute.
True
False
Answers
Answer: False
Step-by-step explanation:
A cup with a hole in it loses 2 ounces of water in the first minute. This mathematically means
Add -2 (loses ⇒ means getting less)
Then the cup loses 2 ounces of water in the second minute. This mathematically means
Add -2 (loses ⇒ means getting less)
In total, and means loses 4 ounces in two minutes.
Thus, the statement below does not describe a situation in which opposite quantities combine to make zero, so this statement is false
Find the length of the missing leg of a right triangle whose hypotenuse measures 15 cm and whose other leg measures 13 cm. geometry
Answers
Answer:
you can always use sin or cos or tan in these situations
Help me please I don’t understand this and it is due tonight
Answers
Answer:
y = 5/3x + 31/3
=
5
3
x
+
31
3
Step-by-step explanation:
128 ounces = ____?____ pounds
Answers
Answer:
8
Step-by-step explanation:
given f(x)=-x-1 find (6)
Answers
Answer:
[tex]{ \rm{f(x) = - x - 1}} \\ \\{ \rm{f(6) = - 6 - 1}} \\ \\ { \rm{f(6) = - 7}}[/tex]
Answer:
f(6) = -7
Step-by-step explanation:
It is given that x = 6. Plug in 6 for x in the given equation:
f(x) = -x - 1
f(6) = -(6) - 1
Note that when you are subtracting two negative numbers, you are really adding the two numbers:
f(6) = -(6) - 1
f(6) = -7
When x = 6, f(x) = -7
~
The money used in Jordan is called the dinar. The exchange rate is $3 to 2 dinars. Find how many dollars you would recieve if you exchanged 22 dinars
Answers
Answer:
He would have received $33 if he exchanged 22 dinars
Step-by-step explanation:
At a super market broccoli and celery are sold at $0.59 per 100 g and $0.26 pee 100g.how much do 1.2 kg of broccoli and 950 g of celery costs
Answers
1.2 kg of broccoli costs $7.08.
950 g of celery costs $2.47.
In order to determine the cost of 1.2 kg of broccoli, the first step is to determine the cost of 1kg of broccoli
1 kg = 1000 g
100g = 0.1 kg
Cost of one kg of broccoli = $0.59 / 0.1 = $5.90
The second step is to determine the cost of 1.2kg of broccoli.
$5.9 x 1.2 = $7.08
In order to determine the cost of 950g of celery, the cost of 1g of celery.
$0.26 / 100 = $0.0026
The second step is to determine the cost of 950g of celery.
950 x 0.0026 = $2.47
A similar question was answered here: https://brainly.com/question/8138090?referrer=searchResults
Donna sells beaded necklaces. Each large necklace sells for $4.90 and each small necklace sells for $4.40 . How much will she earn from selling 1 large necklace and small necklaces?
Answers
Answer:
9.3$
Step-by-step explanation:
add 4.90 and 4.40 it gives 9.3$
What is the distance, d, between the points (2, 3) and (,1)?
Enter your answer in the box. Enter your answer in simplest radical form.
d=0
=
Answers
Answer:
[tex] \sqrt{97} \div 6[/tex]
Write the sentence as an inequality -7/8 is at most the difference of twice a number m and 5/4
Answers
Answer:
2m - 5/4 ≤ -7/8
The given inequality can be written as 2m - 5/4 ≤ -7/8.
What is an inequality ?Inequality is of four types they are
a<b ⇒ a is less than b.
a≤b ⇒ a is less than or equal to b.
a>b ⇒ a is greater than b.
a≥b ⇒ a is greater than or equal to b.
According to the given question
An inequality -7/8 is at most the difference of twice a number m and 5/4 which is 2m - 5/4 ≤ -7/8.
Difference of twice a number 'm' and 5/4 is 2m - 5/4 and this is at most -7/8 means less than or equal to.
∴ The given statement can be written as 2m - 5/4 ≤ -7/8
Learn more abut inequalities here :
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PRACTICE
Compare each pair of radical expressions.
SEE EXAMPLE 1
26. 6/3 and 108
27. 2121 and 4/5
28. 40/42 and 42/40
11:59 PM
29. 2/120 and 130
30. 168 and 2/18
31. 196 and 3/15
Write each expression so the radicand has no
perfect squares other than 1. SEE EXAMPLES 2 AND 1
32. 1210
33. V250
34. (108
35. 2/21
36. 198x8
37. 1200x
vork PNG
dical E...
38. 132x4 y2
39. 4xl ***
Answers
Answer:
which one do u need help on... or all of them
Step-by-step explanation:
Solve the system of equations
3x – 2y + 4z = -14
-4x + y + 4z = -16
-3x - y - 4z = 2
Answers
Answer:
x,y,x = 2,4, -3
Step-by-step explanation:
How does the perimeter and area change
if each dimension is doubled? Explain!
Answers
Answer:
By doubling the dimension R, we'll actually change the area by a factor of 4 (it will become four times as large). Notice that this same change to the radius would only change the original circle's perimeter (2πR) by a factor of 2.
Step-by-step explanation:
Write the expression as a single logarithm.
log₄ 2x - log₄ 6y
Answers
Answer:
[tex]log_{4}(\frac{2x}{6y})[/tex]
Step-by-step explanation:
According to the Quotient Rule (Logarithmic Property):
[tex]log_{a}x - log_{a}y = log_{a}(\frac{x}{y})[/tex]
Therefore, you could combine the logarithmic expressions as:
[tex]log_{4}2x - log_{4}6y = log_{4}(\frac{2x}{6y})[/tex]
Optional:
If ever you're required to simplify it further, [tex]log_{4}(\frac{2x}{6y})[/tex] will be:
[tex]log_{4}(\frac{2x}{6y}) = log_{4}(\frac{x}{3y})[/tex]
1. Please Determine the equation of the line from the tables and the graphs.
Answers
1. find equation of line with given data :
b) from the given table, we get y - intercept (c) = -4
now let's find slope (m) :
[tex] \dfrac{y_2-y_1}{ x_2 - x_1}[/tex][tex] \dfrac{0 - ( - 2)}{10 - 5} [/tex][tex] \dfrac{2}{5} [/tex]so, the required equation will be :
[tex]y = \dfrac{2}{5} x - 4[/tex]c) from the given graph we can see that y - intercept (c) = 3
now, let's find the slope (m) :
[tex] \dfrac{3 - 0}{0 - 7} [/tex][tex] - \dfrac{3}{7} [/tex]the equation will be :
[tex]y = - \dfrac{3}{7} x + 3[/tex]d) From this graph we get y - intercept (c) = -4
slope :
[tex] \dfrac{4 - 0}{4 - 2} [/tex][tex] \dfrac{4}{2} [/tex][tex]2[/tex]so, required equation will be :
[tex]y = 2x - 4[/tex]