We want to find a number that multiplied three times by itself equals 125 in order to find
\(\sqrt[3]{125}\)We know that
25 · 5 = 125
and
5 · 5 = 25
Then
\(\begin{gathered} 5\cdot5\cdot5=125 \\ 5^3=125 \\ \end{gathered}\)Then
\(\begin{gathered} \sqrt[3]{125}=\sqrt[3]{5^3} \\ \sqrt[3]{125}=5 \end{gathered}\)Answer: D. 57. Solve for x. x/7=7
Answer:
49
Step-by-step explanation:
7x7=49
help please ..:/ don’t get it
Question 2(Multiple Choice Worth 2 points)
(Slope-Intercept Form MC)
The table shown represents a linear relationship.
x 0 1 3 4
y −8 −6 −2 0
Based on the table, what is the equation of the linear relationship in slope-intercept form?
y = 2x − 8
y = 2x + 8
y = −2x + 4
y = −2x − 4
The equation of the linear relationship in slope-intercept form is y = 2x - 8. Option A is the correct answer.
To determine the equation of the linear relationship in slope-intercept form based on the table, we need to find the slope and y-intercept.
By observing the table, we can calculate the slope by selecting any two points. Let's choose the points (0, -8) and (4, 0).
Slope (m) = (change in y) / (change in x)
= (0 - (-8)) / (4 - 0)
= 8 / 4
= 2
Now that we have the slope, we can find the y-intercept by substituting the values of one point and the slope into the equation y = mx + b and solving for b.
Using the point (0, -8):
-8 = 2(0) + b
b = -8
Therefore, the equation of the linear relationship in slope-intercept form is: y = 2x - 8. Option A is the correct answer.
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What is y=-6x-8 in standard form
Answer:
Standard Form y=-6x-38. y=−6x−38 y = - 6 x - 38. The standard form of a linear equation is Ax+By=C A x + B y = C .
Step-by-step explanation:
A snail going full speed was taking of a minute to move
centimeter. At this rate, how long would it take the snail to travel a
centimeter?
Answer:
Step-by-step explanation:
if the snail moves 1 cm / 1 min
the snail will need 1 minute, maybe you didn't posted correct?
Select the expressions that are equivalent to 12n - 8 sellect all that apply .
Answer:
B,D,and E
Step-by-step explanation:
Its not A bc A is 10n+8
Its not C bc C is 36n-12
Find the measure of angle A.
60x
O 60°
O 30°
O 23°
O 37°
30x
A
Answer:
Step-by-step explanation:
sum of angles in a triangle=180º
90+60x+30x=180
90+90x=180
90(1+x)=180
1+x=2
x=1
angle A=30º
I need help with question #17. This a homework question!
Answer:
Explanation:
Here, we want to get the amount of money it costs each of the friends to bowl
Let us call this cost x
For the 9, the cost will be:
\(9\text{ }\times\text{ x = \$9x}\)To rent a bowling shoe, it costs $3, the cost for all will be :
\(3\text{ }\times\text{ 9 = \$27}\)The sum of the bowling cost and the shoe rental cost is a total $162
Mathematically, we have it that:
\(\begin{gathered} 9x\text{ + 27 = 162} \\ 9x\text{ = 162-27} \\ 9x=\text{ 135} \\ x\text{ = }\frac{135}{9} \\ \text{ x= 15} \end{gathered}\)It costs each of the friends $15 to bowl excluding the shoe rental cost
Simplify 3y-(2y-3)÷4
The solution to the algebraic expression 3y - (2y - 3) ÷ 4 is; (10y + 3)/4
How to simplify algebraic expressions?The algebraic expression is given as;
3y - (2y - 3) ÷ 4
With the aid of order of operations named PEMDAS which is an acronym for Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction. Thus, we can rewrite the expression as;
3y - (2y - 3)/4
The common denominator is 4 and when we distribute we will have;
(4(3y) - 2y + 3)/4
= (12y - 2y + 3)/4
= (10y + 3)/4
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Find the value of x.
Answer:
x = 106 degrees
Step-by-step explanation:
x + 104 + 40 + 110 = 360
x + 254 (No more 254)
- 254 (Again no more 254)
x = 106
Nehe 20 xyjsjsjqjqoowksjsj
In this triangle what is the value of x
Answer:
Step-by-step explanation:
error
Answer:
x ≈ 75.2
Step-by-step explanation:
using the tangent ratio in the right triangle
tan62° = \(\frac{opposite}{adjacent}\) = \(\frac{x}{40}\) ( multiply both sides by 40 )
40 × tan62° = x , then
x ≈ 75.2 ( to the nearest tenth )
The diagram shows a square.
(6x - 1) cm
Find the length of the side of the square.
Your final answer must say, side = . . . cm
(4x + 6) cm
Cm=?
+
The length of the side of the square is given as follows:
20 cm.
How to obtain the side length of the square?In the figure, there are two expressions used to give the side length to each square, as follows:
6x - 1.4x + 6.In a square, all the four side lengths have the same length, hence the value of x is obtained as follows:
6x - 1 = 4x + 6
2x = 7
x = 3.5 cm.
Then the side length of the square is obtained as follows:
6(3.5) - 1 = 20 cm.
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What is the domain of the function?
The domain of a function is all of the possible x-values.
In the case of this function, we can see that the x-values begin at negative infinity, continue/change between -1 and 1, and pick up again to continue through positive infinity.
Therefore, the domain of the function is negative infinity to infinity, option D/#4.
Hope this helps!
The cost, c(x), for a taxi ride is given by c(x) = 3x + 2.00, where x is the
number of minutes.
On a piece of paper, graph c(x) = 3x + 2.00. Then determine which answer matches the graph you drew, including the correct axis labels,
Answer:
Graph D is the correct answer
Step-by-step explanation:
The graph of is attached.
The y-axis of the graph represents the cost, and the x-axis represents the number of minutes.
Also, the slope of is 2, and the y-intercept is 2.
Now let us look at the choices given and determine which graph represents the function .
The first graph has the slope of 2, and a y-intercept of 2, but the y-axis represents minutes, and the x-axis represents cost—this does not match our graph.
The second graph has y-intercept of 3—also not our graph.
The third graph also has a y-intercept of 3—this does match our graph either.
The fourth graph has a y-intercept of 2 and a slope of 2, and its y-axis represents the cost and x-axis represents the minutes—this perfectly matches our graph.
Therefore, the graph that matches our graph is D.
The deck of a bridge is suspended 225 feet above a river. If a pebble falls off the side of the bridge, the height, in feet, of the pebble above the water surface after t seconds is given by y = 225 – 16t2. (a) Find the average velocity (in ft/s) of the pebble for the time period beginning when t = 3 and lasting the following amount of time. (i) 0.1 seconds ______ ft/s (ii) 0.05 seconds ______ft/s (iii) 0.01 seconds _______ ft/s (b) Estimate the instantaneous velocity (in ft/s) of the pebble after 3 seconds._______ ft/s
a) (i) Average velocity = -96.8 ft/s
(ii) Average velocity = -95.2 ft/s
(iii) Average velocity = -92.8 ft/s
b) The instantaneous velocity of the pebble after 3 seconds is approximately -96 ft/s.
What is average velocity?
The change in position or displacement (x) divided by the time intervals (t) in which the displacement happens yields the average velocity. Depending on the sign of the displacement, the average velocity can be positive or negative.
(a)
(i) The time period from t = 3 to t = 3.1 is 0.1 seconds. The average velocity of the pebble during this time period can be found by taking the difference in position (y) divided by the difference in time (t).
Average velocity = (y(3.1) - y(3)) / (3.1 - 3)
Substituting \(y = 225 - 16t^2\), we get:
\(Average\ velocity = [(225 - 16(3.1)^2) - (225 - 16(3)^2)] / (0.1)\)
Average velocity = -96.8 ft/s (rounded to one decimal place)
(ii) The time period from t = 3 to t = 3.05 is 0.05 seconds. The average velocity of the pebble during this time period can be found using the same formula as above:
\(Average\ velocity = (y(3.05) - y(3)) / (3.05 - 3)\)
Substituting \(y = 225 - 16t^2\), we get:
\(Average\ velocity = [(225 - 16(3.05)^2) - (225 - 16(3)^2)] / (0.05)\)
Average velocity = -95.2 ft/s (rounded to one decimal place)
(iii) The time period from t = 3 to t = 3.01 is 0.01 seconds. The average velocity of the pebble during this time period can be found using the same formula as above:
Average velocity = (y(3.01) - y(3)) / (3.01 - 3)
Substituting \(y = 225 - 16t^2\), we get:
\(Average \ velocity = [(225 - 16(3.01)^2) - (225 - 16(3)^2)] / (0.01)\)
Average velocity = -92.8 ft/s (rounded to one decimal place)
(b)
The instantaneous velocity of the pebble at any given time t can be found by taking the derivative of the position function y(t) with respect to time:
\(\frac{dy}{dt} =-32t\\\)
Substituting t = 3, we get:
\(\frac{dy}{dt} =-96ft/s\\\)
Therefore, the instantaneous velocity of the pebble after 3 seconds is approximately -96 ft/s.
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How many such cubes are required to completely pack the prism without any gap or overlap?2885761,1521,636
Given:
Cuboid:
\(\begin{gathered} Length,l=4\text{ inches} \\ Breadth,b=\frac{3}{4}\text{ inch} \\ Height,h=1\frac{2}{4}inches \end{gathered}\)Cube:
\(\text{Side, a}=\frac{1}{4}inch\)To find: The number of cubes required to pack the prism completely.
Explanation:
The formula is,
\(\begin{gathered} n=\frac{\text{Volume of cuboid}}{\text{Volume of cube}} \\ n=\frac{l\times b\times h}{a^3} \end{gathered}\)Substituting the given values in the above formula, we get,
\(\begin{gathered} n=\frac{4\times\frac{3}{4}\times1\frac{2}{4}}{(\frac{1}{4})^3} \\ =\frac{4\times\frac{3}{4}\times\frac{6}{4}}{\frac{1}{64}} \\ =\frac{\frac{9}{2}}{\frac{1}{64}} \\ =\frac{9}{2}\times\frac{64}{1} \\ =9\times32 \\ n=288 \end{gathered}\)Thus, the number of cubs required to pack the prism is 288 cubes.
Final answer: 288 cubes
What are the TERMS in the expression: 7x − 5y − x + 6
A: 7, 5 and 6
B: 7x, 5y, x, and 6
C: x, and y
Answer: B i think
Step-by-step explanation:
A term can be a number, a variable, product of two or more variables or product of a number and a variable. An algebraic expression is formed by a single term or by a group of terms.
Please help i need it!!!!!
A 6 N crate is lifted 2 meters. How much work is done?
A) 12 N/m
B) 4 N/m
C) 8 N/m
D) 3 N/m
The amount of work done is Option A) 12 N/m
What is work done?Work done is simply defined as the product of the magnitude of displacement, (d) and the component of the force that in the direction of displacement.
It measures energy transfer that occurs when an object is moved to a distance by an external force which is applied in the direction of the displacement.
Work done on a body is equivalent to the increase in the energy of the body, because it transfers energy to the body.
The formula for work done is;
W = fd
Where, 'f' is the applied force and d is the distance
Substitute the values
Work done = 6(2)
Work done = 12 N/m
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sequence three missing terms to comple 7444> →→19-
To complete the sequence "7444> →→19-", we need to find the missing terms that fit the pattern established by the given numbers. Let's analyze the sequence and identify any discernible pattern or rule.
Looking at the sequence, we can observe that each number is decreasing by a certain value. In this case, the first number is 7444, and the second number is 19, indicating a decrease of 7425. Now, we need to continue this pattern.
To find the third missing term, we subtract 7425 from 19, resulting in -7406. Therefore, the third missing term is -7406
To find the fourth missing term, we subtract 7425 from -7406, resulting in -14831. Therefore, the fourth missing term is -14831.
To find the fifth missing term, we subtract 7425 from -14831, resulting in -22256. Therefore, the fifth missing term is -22256.
Therefore, the completed sequence is:
7444> →→19- → -7406 → -14831 → -22256
Each term in the sequence is obtained by subtracting 7425 from the previous term.
It's important to note that this solution assumes a linear pattern in which the same subtraction value is applied to each term. However, without additional context or information about the sequence, there could be alternative patterns or interpretations.
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how many significant figures are in each of these problems
-2000+20.5
-106.2+54.07
Answer:
3 significant figuresStep-by-step explanation:
Problems given:
- 2000 + 20.5 = - 1979.5 ≈ -1980.0 ⇒ 3 significant figures - 106.2 + 54.07 = - 52.13 ≈ -52.1 ⇒ 3 significant figuresZeros at the end are not counted as significant figures
4. Mrs. James bought a tv for $999, but she
received a discount of 20%. What is the price
of the tv?
A. $1798.20
B. $1198.80
C. $199.80
D. $799.20
Answer:
BStep-by-step explanation:
She bought the tv for 80% of the original price. Therefore the original price is higher than $999. Now you can cancel options C and D because they are smaller than $999.
so the original price of the tv is 120% of $999 is $ 1198.80
Therefore the correct option is option B
Marsha deposited $5,500 into a savings account 3 years ago. The simple interest rate is 2%. How
much money did Marsha earn in interest?
Substitute the values into the equation.
Interest = $• • years
Help please hurry
Answer:
the answer is 5,500,0.03,3,495 you’re welcome give me brainliest
Step-by-step explanation:
Marsha earned $330 as interest for depositing $5500 at 2% for 3 years.
What is simple interest?We know simple interest (SI) is given by SI = (p×r×t)/100, where
p = principle, r = rate in percentage, and t = time in years.
Simple interest is often a predetermined percentage of the principle amount borrowed or lent paid or received over a specific time period.
Given, p = $5500, r = 2% and t = 3 years.
So, The amount Marsha earned in simple interest is,
= (5500×2×3)/100.
= 55×2×3.
= $330
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Nathaniel had $40 to spend on 9 beakers for his science class. After buying them, Nathaniel had $4 left. How much did each of the beakers cost?
Answer:
each baker cost $4
Step-by-step explanation:
4 times 9 is 36, and that leaves 4
Find the value of a in the equation below
2sin(1÷4a+20)=√3
Step-by-step explanation:
\(sin(1 \div 4a + 20) = \sqrt{3} \div 2 \\ sin(1 \div 4a + 20) =sin 60\)
1÷4a+20=60
1÷4a=4
a=1/160
how can you use pythagora's theorem to solve problems involving right-angled triangles
Using Pythagorean theorem, the length of the ladder is 10ft
What is Pythagorean Theorem?In mathematical terms, if y and z are the lengths of the two shorter sides (also known as the legs) of a right triangle, and x is the length of the hypotenuse, the Pythagorean theorem can be expressed as:
x² = y² + z²
In the questions given, the only one we can use Pythagorean theorem to solve is the one with ladder since it's forms a right-angle triangle.
To calculate the length of the ladder, we can write the formula as;
x² = 8² + 6²
x² = 64 + 36
x² = 100
x = √100
x = 10
The length of the ladder is 10 feet
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Help me I will give extra points
Answer: g(x) = -4x + 5
Please mark me brainliest instead of points
Consider the following functions round your answer to two decimal places if necessary
Solution
Step 1:
\(\begin{gathered} f(x)\text{ = }\sqrt{x\text{ + 2}} \\ \\ g(x)\text{ = }\frac{x-2}{2} \end{gathered}\)Step 2
\(\begin{gathered} (\text{ f . g\rparen\lparen x\rparen = }\sqrt{\frac{x-2}{2}+2} \\ \\ (\text{ f . g\rparen\lparen x\rparen }=\text{ }\sqrt{\frac{x\text{ +2}}{2}} \end{gathered}\)Step 3
Domain definition
\(\begin{gathered} The\:domain\:of\:a\:function\:is\:the\:set\:of\:input\:or\:argument\:values \\ \:for\:which\:the\:function\:is\:real\:and\:defined. \\ \mathrm{The\:function\:domain} \\ x\ge \:-2 \\ \\ \:\mathrm{Interval\:Notation:}\text{ \lbrack-2, }\infty) \end{gathered}\)Final answer
The components of vectors A and B are given below: A (5.1,0) B (-2.6, -4.3) What is the magnitude of vector sum (A+B)?
The magnitude of the vector sum (A + B) is approximately 4.974.
To find the magnitude of the vector sum (A + B), we need to add the corresponding components of vectors A and B and then calculate the magnitude of the resulting vector.
Given:
Vector A: (5.1, 0)
Vector B: (-2.6, -4.3)
To find the vector sum (A + B), we add the corresponding components:
(A + B) = (5.1 + (-2.6), 0 + (-4.3))
= (2.5, -4.3)
Now, let's calculate the magnitude of the vector (2.5, -4.3):
Magnitude = sqrt((2.5)^2 + (-4.3)^2)
= sqrt(6.25 + 18.49)
= sqrt(24.74)
≈ 4.974
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solve for
3-5(x + 4) = 8 (2x - 3)
Answer:
x = 1/3
Step-by-step explanation:
3-5(x+4)=8(2x-3)
3−5x−20=8(2x−3)
−17−5x=8(2x−3)
−5x−17=8(2x−3)
−5x−17=16x−24
−5x−17+17=16x−24+17
−5x=16x−7
−5x−16x=16x−7−16x
−21x=−7
/-21 /-21
x = 1/3