write ____ as a single power of 5
Answer:
\(5^{14/5}\)
Step-by-step explanation:
\(\frac{5^3}{5^{1/5}} \\ \\ 5^{3-\frac{1}{5}} \\ \\ =5^{14/5}\)
Evaluate:
2-(16-14)² + (6-14)³ +8
Answer:
-506
Step-by-step explanation:
Answer:
-506
Step-by-step explanation:
2 - (\(2^{2}\)) + \((-8)^{3}\) + 8
2 - 4 -512 + 8
-2 - 512 + 8
-514 + 8
-506
Helping in the name of Jesus.
Violet made cookies for the bake sale. 7/10 of the cookies are chocolate chip. 3/4 of the remaining cookies are sugar. What fraction of cookies are sugar cookies?
The height of the right circular cylinder shown below is 10 feet and its base has a radius of 4 feet.
The surface area of cylinder whose height is 10 feet and its base of radius is 4 feet is 112π \(ft^{2}\)
What is volume of cylinder ?
volume of cylinder is product of pi and square of radius and height of the cylinder.
Given,
height of cylinder = 10 feet
base of radius of cylinder = 4 feet.
Surface area of cylinder is
A=2πrh+2πr2
A = π (2rh+2r2)
A = π (2*4*10 + 2* 4*4)
A =π(80+32)
A = 112 π \(ft^{2}\) .
Hence, the surface area of cylinder whose height is 10 feet and its base of radius is 4 feet is 112π \(ft^{2}\).
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456x5 is what I can’t figure this out please help!!
Answer:
2280
Step-by-step explanation:
Multiply 5 times 2325 it ain't that hard g just use google lol
-x+3y=11 pls sove by elimation and step by step
Answer:
Therefore, the solution to the equation -x + 3y = 11 is x = -34/11 and y = 29/11.
Step-by-step explanation:
The given equation is:
-x + 3y = 11
To solve this equation by elimination, we need to add or subtract one or both equations to eliminate one of the variables. In this case, we can eliminate the variable x by adding the equation with another equation that has x with the same coefficient, but opposite sign.
Let's suppose we have another equation with x, for example:
2x + 5y = 7
We can eliminate x by multiplying the first equation by 2 and the second equation by 1, so that the coefficients of x are opposite:
-2x + 6y = 22 (multiply the first equation by -2)
2x + 5y = 7 (the second equation)
Now we can add the two equations to eliminate x:
-2x + 2x + 6y + 5y = 22 + 7
Simplifying the equation, we get:
11y = 29
Dividing both sides by 11, we get:
y = 29/11
Now that we know the value of y, we can substitute it back into one of the original equations to find the value of x. Let's use the first equation:
-x + 3y = 11
Substituting y = 29/11, we get:
-x + 3(29/11) = 11
Simplifying the equation, we get:
-x + 87/11 = 11
Subtracting 87/11 from both sides, we get:
-x = 11 - 87/11
Multiplying both sides by -1, we get:
x = 87/11 - 11
Simplifying the equation, we get:
x = (87 - 121)/11
x = -34/11
The perimeter of a rectangle is 180 meters. If the length of the rectangle is 20 meters more than the width, what are the dimensions of the rectangle?
Answer:
you just need all your dimensions to equal 180
Step-by-step explanation:
180 = 20........
Find the slope of a line parallel
to 2y= 6x+8
The slope of a line parallel to 2y= 6x+8 is 3.
How to calculate or determine the slope of a line?In Mathematics and Geometry, the slope of any straight line can be determined by using the following mathematical equation;
Slope (m) = (Change in y-axis, Δy)/(Change in x-axis, Δx)
Slope (m) = rise/run
Slope (m) = (y₂ - y₁)/(x₂ - x₁)
In Mathematics and Geometry, parallel lines are two (2) lines that are always the same (equal) distance apart and never meet. Therefore, two (2) lines are parallel under the following conditions:
m₁ = m₂
By making y the subject of formula, we have:
2y = 6x + 8
y = 3x + 4
Therefore, the slope is 3.
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Simplify the expression. -2.8+0.3-15-6=
10/(x-2)=7/(x+2) what is the solution?
Answer:
-34/3
Step-by-step explanation:
I've provided the explanation from my e-board in a picture below
Find the slope of tangent line at (1,-1.5)
Answer:
The slope of the tangent m = -0.0833
Step-by-step explanation:
Step(i):-
Given that the curve
x y - 2y² + x² = -5 ...(i)
Differentiating equation (i) with respective to 'x', we get
\(x(\frac{dy}{dx} )+y (1) -2(2y)\frac{dy}{dx} + 2x=0\)
\(x(\frac{dy}{dx} ) -2(2y)\frac{dy}{dx} = -2x-y\)
\((x -4y)\frac{dy}{dx} = -2x-y\)
\(\frac{dy}{dx} = \frac{-2x-y}{x-4y}\)
Step(ii):-
The slope of the tangent
\((\frac{dy}{dx})_{1,-1.5} = \frac{-2x-y}{x-4y}\)
\((\frac{dy}{dx})_{1,-1.5} = \frac{-2(1)-(-1.5)}{1-4(-1.5)}\)
m = \(\frac{-2+1.5}{1+6}\)
\(m = \frac{-0.5}{6} = -0.083\)
The slope of the tangent m = -0.0833
A package contains 20 golf balls. The total
weight of the golf balls is 32 ounces. Use the
model to show the number of ounces per
golf ball and the number of golf balls per
ounce. Write your answers in the blanks.
Answer: 1.6
Step-by-step explanation:
each golf is 1.6 ounces and you 20 golf balls in order to reach 32 ounces
Answer:
shown below
Step-by-step explanation:
golf balls per ounce = 5/8 or 0.625
ounces per gold ball = 8/5 or 1.6
/3
9. At the bowling alley, Angela rented shoes for $3 and it cost her $2.50 to bowl each game.
a) State an equation that represents the cost of bowling in the form C = mx + b, where C is the total
cost and x is the number of games bowled.
b) How much did it cost her to bowl four games?
Answer:
$13
Step-by-step explanation:
For the equation, m will be 2.50 and b will be 3. This is because 2.50 will change as she plays more games. The 3 will stay the same no matter how many games she plays.
C = 2.5x + 3
To find the cost to bowl four games, plug 4 into x and solve for C.
C = 2.5x + 3
C = 2.5(4) + 3
C = 10 + 3
C = 13
Write the slope-intercept equation of the line that passes through the given point and is perpendicular to the given line.
(0, -4) and x = -3y - 2
Answer:
y=mx+c
Step-by-step explanation:
check if u get it or not
Please I need help I give brainliest!!
Answer:
x=x
Step-by-step explanation:
Please help me to do this i really need it.
First correct Answer gets Brainliest.
Answer:
Step-by-step explanation:
-3≤ x = graph 6
-3 > x = graph 3
x≥ 3 = graph 2
x ≤ 3 = graph 4
3 > x = graph 1
x > 3 = graph 5
the closed circles means greater/less than or equal to
the open circle means greater/less than
the direction of the arrow tells you if the number is greater than x or less than x
Can you please help me
no xdxdxdxdxdxxdxdxdxdxdxdxdxdxddxd
Jason has $8.69 to spend on beans. Write an equation to represent the situation and solve the equation to find the number of cans Jason can
buy.
An equation to represent the situation and solve the equation of the number of cans of beans Jason can buy is x = 8.69/0.61 and x = 14.
What is an equation?An equation is a statement in mathematical terms that show that two or more algebraic expressions are equal or equivalent.
Algebraic expressions are formed with variables, constants, values, and numbers, in addition to mathematical operands without the equal sign (=).
The total budget on beans = $8.69
The unit price for a can of beans = $0.61
Let the number of cans of beans = x
Equation:x = 8.69/0.61
x = 14.2
x = 14
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Question Completion:The price of a can of beans is $0.61
find the maximum value of c=6x+2y
Answer:
∞
Step-by-step explanation:
c can have any value you like.
There is no maximum. We say it can approach infinity.
__
Additional comment
There may be some maximum imposed by constraints not shown here. Since we don't know what those constraints are, we cannot tell you what the maximum is.
What basic algebraic technique is used to derive the quadratic formula?
graphing
finding the greatest common factor
writing the prime factorization of a number
completing the square
Answer:
Step-by-step explanation:
Completing the square....
In need of help!! Determine if the equation given in slope-intercept form represents the graph. If the equation is correct support your reasoning with why it is correct. If the equation is incorrect, give the correct slope-intercept form equation explaining how you determined it.
The equation is accurate. A line's slope and y-intercept are expressed in the form y is mx + c, where m is the slope and c is the y-intercept.
What does a line's slope-intercept form look like?A line's slope and y-intercept are expressed in the form y = mx + c, where m is the slope and c is the y-intercept.
y = (3/2)x + 1 is the given equation for the line.
Add x = 0 to the above equation, y = (3/2)(0) + 1 y = 1, to determine the line's y-intercept.
Take note that the line's graph's y-intercept is also 1.
The line's graph includes points (2,4).
Put the coordinates of the location into the above equation to see if it matches the coordinates of (2,4) or not:
4 = (3/2)(2) + 1
4 =4
The equation is accurate.
Consequently, it can be claimed that the following equation reflects the graph.
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f(x)=2x-1 if f(12)??
Answer:
23
Step-by-step explanation:
Answer:
f(12) = 23
Step-by-step explanation:
f(x) = 2x - 1
f(12) = 2(12) - 1
f(12) = 24 - 1
f(12) = 23
Solve for the rate (as a %). Round to the nearest tenth of a percent when necessary. What is the rate if the base is 366 and the portion is 50?
Answer:
\(\Huge \boxed{\text{13.66$\%$}}\)
Step-by-step explanation:
To find the rate, we need to use the following formula:
\(\LARGE \boxed{ \boxed{\text{Rate = $\frac{\text{Portion}}{\text{Base}}$$\times$100}}}\)
Where "Portion" is the part of the whole and "Base" is the whole.
Now, let's plug in the given values:
\(\large \text{Rate = $\frac{\text{50}}{\text{366}}$$\times$100 = 13.66 (Rounded to the nearest tenth of a percent)}\)
Therefore, the rate is 13.66% (rounded to the nearest tenth of a percent).
----------------------------------------------------------------------------------------------------------
Solve by completing the square.
j² + 14j + 5 = 0
Write your answers as integers, proper or improper fractions in simplest form, or decimals
rounded to the nearest hundredth.
Submit
or j =
=
Answer:
\(j = 7 \pm \sqrt{44}\)
Step-by-step explanation:
First, move the constant term to the other side of the equation.
\(j\² + 14j + 5 = 0\)
\(j\² + 14j = -5\)
Next, add the coefficient of the first degree j term divided by 2, then squared to both sides.
\(j^2 + 14j + (14/2)^2 = -5 + (14/2)^2\)
\(j^2 + 14j + (7)^2 = -5 + (7)^2\)
\(j^2 + 14j + 49 = -5 + 49\)
\(j^2 + 14j + 49 = 44\)
Now, we can factor the left side as a square.
\((j+7)(j+7) = 44\)
\((j+7)^2 = 44\)
Finally, we can take the square root of both sides to solve for j.
\(\sqrt{(j+7)^2} = \sqrt{44\)
\(j+7=\pm\sqrt{44}\)
\(\boxed{j = 7 \pm \sqrt{44}}\)
Note that there are two solutions, as \(\sqrt{44\) could be positive OR negative because of the even root property:
if \(x^2 = a^2\),
then \(x = \pm a\)
because both \((+a)^2\) and \((-a)^2\) equal \(a^2\).
You loan your brother $300 and charge him 2% simple annual interest. He promises to
repay you one year later. How much willyour brother have to pay you?
in 1 year
Also plz show the steps
Answer:
$306
Step-by-step explanation:
In one year, the 2% annual interest would have been applied once. Therefore, your brother would pay you 1.02 * 300 which is 306.
Hope this helps :)
Answer: 306 dollars
===========================================
Work Shown:
i = P*r*t ..... simple interest formula
i = 300*0.02*1
i = 6
Your brother pays $6 in simple interest on top of the $300 in principal loaned to him. The total amount he pays back is 300+6 = 306 dollars.
----------
Another way to calculate the answer is to do these steps
A = P*(1+r*t)
A = 300*(1+0.02*1)
A = 300*(1.02)
A = 306
The 1.02 represents a 2% increase when going from 300 to 306.
2.2 2.1.4 a Given that A and B are complementary angles and 7 cos A-3 = 0. Determine WITHOUT the use of a calculator, the value of: 7 cos B-3 tan A. (4)
Complete the table for the given rule.
Rule: y is 1 less than 2 times x
According to the rule, the table is:
x|y
2|3
3|5
4|7
The translation of the rule to a math expression is:
\(y = 2x - 1\)
Then, for x = 2:
\(y = 2(2) - 1 = 4 - 1 = 3\)
For x = 3:
\(y = 2(3) - 1 = 6 - 1 = 5\)
For x = 4:
\(y = 2(4) - 1 = 8 - 1 = 7\)
Thus, the table is:
x|y
2|3
3|5
4|7
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put the numbers in order from least to greatest.
5 * 10^6
4000000
5 * 10^5
0.6 * 10^7
75 * 10^5
Shelly is standing on a platform 100 feet above the ground. She fosses a baseball straight up into the air. The =-16t² +64 +100 models the ball's height h above the ground t seconds after it was thrown. How long will it take for the ball to reach its maximum height above the ground? seconds What is the maximum height the ball reaches? feet How many seconds does it take for the ball to finally hit the ground (rounded t the nearest tenth of a second)? seconds EITHER Type here to search 37°F
The maximum height the ball reaches is 132 feet.
What is the maximum height the ball reaches?A ball is tossed upward, and the height H is calculated as follows:
h(t)= 1/2 gt 2 +V 0 t +H 0.
t is the amount of time spent.
The equation in this instance is expressed as h(t)=16t 2 +64t +100.
The solution of the equation h=0 gives the time t at which the item strikes the ground if h(t) is zero, which implies that the ball is at the ground at h=100.
h=−16t 2 +64t+100
h=−16(t 2 + 2+ 2)+ 100−(−16×2 )
h=−16(t−2) 2 + -100 − (−32)
h=−16(t−2 ) 2 +132
The vertex is (2 ,132 ), therefore, the maximum height is 132 feet.
The maximum height the ball reaches is 132 feet.
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Let u = ⟨–2, –3⟩ and v = ⟨3, –1⟩. Which graph shows u – v?
A) The first graph
Correct on Edge