The length of a rectangle is 6x 2 and the width of the rectangle is x + 1. The perimeter of
the rectangle is 236. Which answer choice shows an equation that can be used to find x
Answer:
12 + 1x = 236 maybe that
Step-by-step explanation:
HELP PLEASE ASAPPPPPPPP
Answer:
c
Step-by-step explanation:
2+3x-18
Answer: the last one
Step-by-step explanation:
If you select one card at random from a standard deck of 52 cards, what is the probability of that card being a 3, 4, OR 5?
Since we have four three cards, four four cards and four five cards, this means that we have 12 possibilities out of 52; that is the probability is:
\(P=\frac{12}{52}=\frac{3}{13}\)Therefore the probability is 3/13
Which of the following are two-dimensional shapes? Select three options.
circle
cube
cylinder
hexagon
oval
pyramid
Answer:
Circle, hexagon, and oval
Step-by-step explanation:
They are all 2d.
What is the set up cost for the company before any bottles ordered?
We have number of bottles on the x-axis and cost on the y-axis. To understadn the cost before any bottles are ordered, it is better to find the slope of the graph.
Which expression is equivalent to x2+7x+10
Answer:
(x+5) (x+2)
Step-by-step explanation:
please help me asap!!!!
I can't see them clearly....
which pair of fractions is not equivalent fractions? 1/9,2/187/8,5/63/16, 9/486/15, 4/10
Answer:
7/8,5/6
Step-by-step explanation:
Two fractions are equivalent when their division is equal to one.
When we are dividing fractions, we multiply the numerator by the inverse of the denominator.
1/9,2/18
\(\frac{\frac{1}{9}}{\frac{2}{18}}=\frac{1}{9}\ast\frac{18}{2}=\frac{1\ast18}{9\ast2}=\frac{18}{18}=1\)7/8,5/6
\(\frac{\frac{7}{8}}{\frac{5}{6}}=\frac{7}{8}\ast\frac{6}{5}=\frac{7\ast6}{8\ast5}=\frac{42}{40}\)The division is not 1, so this par of fractions is not equivalent.
3/16, 9/48
\(\frac{\frac{3}{16}}{\frac{9}{48}}=\frac{3}{16}\ast\frac{48}{9}=\frac{3\ast48}{16\ast9}=\frac{144}{144}=1\)6/15, 4/10
\(\frac{\frac{6}{15}}{\frac{4}{10}}=\frac{6}{15}\ast\frac{10}{4}=\frac{6\ast10}{15\ast4}=\frac{60}{60}=1\)two number cubes are rolled. Deterimine the number of ways that you could get a sum that is less than 5. The number cube is out of 6
Answer: six ways
Step-by-step explanation: The pairs when the cube is rolled that are less than five would be; (1,1), (1,2), (1,3), (2,1), (2,2), (3,1) since each cube is out of six.
which panda is growing faster?
Answer:
Mochi
Step-by-step explanation:
Mochi is growing at 4lb per week
Kappa is growing 3lb per week
The frequency of occurrence of something within a specifically defined area is the.
Density –The frequency with which something exists with a given unit of area.
Definition of density: A material's density is determined by how closely it is packed. As the mass per unit volume, it has that definition. Symbol for density: D or Formula for Density: Where is the density, m is the object's mass, and V is its volume, the equation is: = m/V.
How much "stuff" is contained in a specific quantity of space is determined by its density. For instance, a block of the harder, lighter element gold (Au) will be denser than a block of the heavier element lead (Pb) (Au). Styrofoam blocks are less dense than bricks. Mass per unit volume serves as its definition.
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Look for Relationships Does this system have one solution, no solutions,
or infinitely many solutions?
Write another system of equations with the
same number of solutions that uses the first equation only.
12x + 51y = 156
-8x - 34y = -104
simultaneous equations
The johnsons are driving 2,563 miles to the beach. they plan to drive 325 miles a day. how many days will it take the johnsons to drive to the beach?
Answer:
It will take them 7.89 days
1) Use Lagrange multipliers to find the maximum and minimum values of the function subject to the given constraint. f(x, y) = 5x2 + 5y2; xy = 1
2) Find the extreme values of f subject to both constraints. ,
f(x, y, z) = x + 2y; x + y + z = 6, y2 + z2 = 4
Using Lagrange multipliers, the maximum and minimum values of the function f(x, y) = 5x² + 5y² subject to the constraint xy = 1 are found to be f(min) = 10 and f(max) = ∞ (unbounded).
Finding the extreme values of f(x, y, z) = x + 2y subject to the constraints x + y + z = 6 and y² + z² = 4 involves using Lagrange multipliers to solve the system of equations. The extreme values are determined to be
f(min) = 0 and f(max) = 8.
To find the maximum and minimum values of f(x, y) = 5x² + 5y² subject to the constraint xy = 1 using Lagrange multipliers, we set up the Lagrangian function L(x, y, λ) = f(x, y) - λ(xy - 1).
We then take partial derivatives of L with respect to x, y, and λ, and set them equal to zero.
Solving the resulting system of equations, we find that the only critical point is at (x, y) = (±1, ±1).
However, plugging these points into f(x, y) shows that the function is unbounded and approaches infinity as x and y increase or decrease. Therefore, there is no maximum or minimum value for the given function subject to the constraint.
To find the extreme values of f(x, y, z) = x + 2y subject to the constraints x + y + z = 6 and y² + z² = 4, we set up the Lagrangian function L(x, y, z, λ, μ) = f(x, y, z) - λ(x + y + z - 6) - μ(y² + z² - 4).
Taking partial derivatives of L with respect to x, y, z, λ, and μ, and setting them equal to zero, we obtain a system of five equations.
Solving this system of equations, we find the critical points (2, 2, 2) and (2, -2, -2). Plugging these points into f(x, y, z) gives us f(2, 2, 2) = 8 and f(2, -2, -2) = 0.
Therefore, the extreme values of the function subject to the given constraints are f(min) = 0 and f(max) = 8.
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The cost of dinner at Panda Express is 14.40. The tax rate is 8.5%
Answer:
Tax: 1.23
Total: 15.63
Step-by-step explanation:
14.40 x .085 = 1.224
1.224 + 14.40 = 15.624
Round and you get about 15.63
Answer:
1.2
Step-by-step explanation:
Which expression is equivalent to the following complex fraction? 2 minus StartFraction 1 Over y EndFraction divided by 3 StartFraction 1 Over y EndFraction.
The equivalent fraction to the given complex fraction is \(\frac{2y-1}{3y+1}\).
Given expression,
\(\dfrac{2-\frac{1}{y} }{3+\frac{1}{y} } } \\\)
We have to find the equivalent fraction of \(\frac{2-\frac{1}{y} }{3+\frac{1}{y} } } \\\) .
On solving,
\(\dfrac{2-\frac{1}{y} }{3+\frac{1}{y} } } =\dfrac{\frac{2y-1}{y} }{\frac{3y+1}{y} }\)
Eliminating y from numerator and denominator we get,
\(\dfrac{2-\frac{1}{y} }{3+\frac{1}{y} } } =\dfrac{2y-1} {3y+1} }\)
Hence the required expression is \(\frac{2y-1}{3y+1}\).
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Answer:
The answer is D :)
Step-by-step explanation:
2y-1/3y+1
Find the circumference of the circle. Round your answer to the nearest hundredth. Use 3.14 or 22/7 for π.
Answer:
131.95
Step-by-step explanation:
C=2πr=2·π·21≈131.94689
42
42÷2=21
circumstances=2πr
circumstances=2×22/7×21cm
2×22/1×3cm
2×22=44
44×3cm=132
nearest hundredth=100
I hope im correct
prove that: tan[(π/4)+(x/2)] + tan[(π/4)-(x/2)]= 2secx
we will use the formula of tan(A+B)= (tanA+tanB)/(1-tanAtanB)
and tan(A-B)= (tanA-tanB)/(1+tanAtanB)
tan[(pie/4)+(x/2)]= [1+tan(x/2)]/[1-tan(x/2)] ......(1)
tan[(pie/4)-(x/2)]= [1-tan(x/2)]/[1+tan(x/2)]......(2)
now add the equation (1) and (2) which is LHS of question. So we get:
{[1+tan(x/2)]^2 + [1- tan(x/2)]^2}/1-tan^2(x/2)=2[1+tan^2(x/2)]/1-tan^2(x/2)= 2/cosx = 2secx =RHS
Hence proved.
Please help!!
I'll give brainlist!
Step-by-step explanation:
Perpendicular : means two lines meet at 90°
1) angle B = 90° - 50°
= 40°
2) Angle D = 90° - 30°
= 70°
6 3⁄4 meters to centimeters
Step-by-step explanation:
To convert 6 3/4 meters to centimeters, we need to multiply the value by 100.
First, convert the mixed number to an improper fraction:
6 3/4 = (6 * 4 + 3)/4 = 27/4
Now, multiply the fraction by 100:
(27/4) * 100 = 675/2 = 337.5
Therefore, 6 3/4 meters is equal to 337.5 centimeters.
Which of the following is equivalent to (5z − 6)(2z + 3)?
0 (5z - 6) (2z) - (5z − 6)(3)
0 (5z - 6)(2z) + (5z − 6)(3)
0 (6-0)(2) + (-60)
0 (6-)(2-) + (6)(3)
Answer:
13z-18
Step-by-step explanation:
(5z-6)(2z+3)?
5z(2z+3)-6(2z+3)
10z+15z-12z-18
25z-12z-18
13z-18
If an object travels for 10 seconds at a velocity of 50 feet per second, how far did it travel?
Answer:
500
Step-by-step explanation:
50x10 = 500
50 feet per second so we multiply 50 (the speed per second) by 10 (the time given). You can also use a formula like this:
S x T
S= Speed
T= Time
Please helpppp asap!!!
Find the greatest common factor of 9, 45, and 18.
PLEASE HELP ME PLS U WOULD BE A LIFE SAVER AND ILL GIVE U BRAINLY PLS
In a game of chance, players spin a pointer on the spinner with eight equal-sized sections.
The sample space is 1,1,2,3,3,4,5,5
What are the probabilities of each outcome in the sample space? ( write each answer in fraction form) p.s the answer is supposed to be more than one fraction.
Step-by-step explanation:
a) Since there are 2 #1 in the spinner, the probability of landing on a 1 is 2/8 or 1/4
b) Since there is only one #2, the probability is only 1/8.
c) Probability of landing on #3 is 2/8 or 1/4.
d) Probability of landing on a #4 is 1/8
e) Just like the case of #1 & #3, there are 2 chances out of eight that it will land on a #5 so the probability is 2/8 or 1/4
Select the values that make the inequality y < 4 true.
(Numbers written in order from least to greatest going across.) .
Answer:
-4 -1 1 3.9 3.99
Step-by-step explanation:
The number can be anything that is less than the number 4.
Hope this helps! :)
The values which satisfy the inequality y < 4 are - 4, - 1, 1, 3, 3.9. 3.99, 3.999.
What are inequalities and their types?Inequality is a relation that compares two numbers or other mathematical expressions in an unequal way.
The symbol a < b indicates that a is smaller than b.
When a > b is used, it indicates that a is bigger than b.
a is less than or equal to b when a notation like a ≤ b.
a is bigger or equal value of an is indicated by the notation a ≥ b.
An inequality y < 4 is given.
This states that the variable y is strictly less than 4 it could be 3.999999.. but not 4.
Then the value that makes the inequality true are,
- 4, - 1, 1, 3, 3.9. 3.99, 3.999,
If the inequality was y ≤ 4 then 4 could have included 4 only but not 4.001.
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8. The table is for a linear relation. Unfortunately, one error was made in copying the table. Find the error and copy the table with the correction.
Answer:
The error is at (-4, 0) where 0 should be changed to 1
Step-by-step explanation:
The error was made at (-4, 0). The point should be (-4, 1) instead, because the y values should be increasing by 3 each time.
Help me please ......
subtract: 4x/x^2-25 - 2/x^2+2x-15
a. 4x^2-14x+10/(x+5)(x-3)
b. 4x^2-14x-10/(x-5)(x+5)(x-3)
c. 4x^2-14x-10/(x-5)^2(x-3)
d. 4x^2-14x-10/(x-5)(x+5)(x-3)
Answer: \(\dfrac{4x^2-14x+10}{(x-5)(x+5)(x-3)}\)
Step-by-step explanation:
Given
Subtract the expression
\(\Rightarrow \dfrac{4x}{x^2-25}-\dfrac{2}{x^2+2x-15}\\\\\Rightarrow \dfrac{4x}{(x-5)(x+5)}-\dfrac{2}{x^2+5x-3x-15}\\\\\Rightarrow \dfrac{4x}{(x-5)(x+5)}-\dfrac{2}{(x+5)(x-3)}\\\\\text{Take the LCM and subtract}\\\\\Rightarrow \dfrac{4x(x-3)-2(x-5)}{(x-5)(x+5)(x-3)}\\\\\Rightarrow \dfrac{4x^2-12x-2x+10}{(x-5)(x+5)(x-3)}\\\\\Rightarrow \dfrac{4x^2-14x+10}{(x-5)(x+5)(x-3)}\)
the sum of two nonnegative numbers is 20. find the numbers if (a) the sum of their squares is as large as possible; as small as possible. (b) one number plus the square root of the other is as large as possible; as small as possible.
For both part (a), the two nonnegative numbers, x and y must be 0 and 20 for the sum of their squares to be as large as possible, and 10 and 10 for the sum of their squares to be as small as possible. For part (b), x must be 20 and y should be 0 for largest possible result, whereas for smallest possible result x must be 0 and y should be 20.
What are nonnegative numbers?Nonnegative numbers are numbers which are greater than or equal to zero.
How to calculate the largest and smallest values based on the conditions?For a much straightforward and easy way of solving such questions we can simply use the trial and error method.
For part (a), we can start off by taking both the numbers as 10. The sum of their squares will now be 100. If we take the numbers as 12 and 8, the sum of their squares will be 208. As we can see by increase one of the numbers we get a larger result. Thus, the largest possible values will be 20 and 0, which will give a result of 400. While carrying out this trial and error method we also found out that the minimum result was obtained when both the numbers were 10.
For part (b), a similar approach can be taken. Through trial and error method we observe that 20 + (0)^1/2 gives the largest possible result, whereas 0 + (20)^1/2 gives the smallest possible result.
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Ranny is buying presents for members of his family. He wants to spend $10 less on his brother than he spends on his sister, and six dollars more than twice the amount he spends on his sister on his mother. If Ranny has $100 to spend, how much does he intend to spend on his brother? Please answer with a numerical explanation. No other explanation required.
Answer:
8
Step-by-step explanation:
Answer:
Step-by-step explanation: ahshshhshdbd