which expressions are equivalent to this exponential expression?
6-10/6-4
A. 6-^6
B. 6^6
C. 1/6^6
D. 1/36
Step-by-step explanation:
Hi There! Let me help you :)
Known
[tex] = \frac{ {6}^{ - 10} }{ {6}^{ - 4} } [/tex]
[tex] \: [/tex]
Asked
Simplify form.
[tex] \: [/tex]
Answer
[tex] = \frac{ {6}^{ - 10} }{ {6}^{ - 4} } [/tex]
[tex] = {6}^{ - 10 - ( - 4)} [/tex]
[tex] = {6}^{ - 6} [/tex]
[tex] = {6}^{ - 6} \: \text{or} \: \frac{1}{ {6}^{6} } [/tex]
There are 2 answers, it's A and C.
Solve for y.
Enter your answer in the box.
Answer:
y=10
Step-by-step explanation:
Since this triangle has equal length sides, it is equilateral and also has equal measured angles. This means that each angle is 180/3=60 degrees.
To solve for y, we can do 5y+10=60. Simplifying, we get
5y=50
y=10.
Answer:
4
Step-by-step explanation:
So all the angles will have the same value. In a triangle all the angles will add up to 180, so each angle would have to be 60 degrees. So to know Y we need 6x+6=5y+10. So subtract 10 from each side, then subtract 6x from each side to get 4=x
Assume that y varies inversely as x. if y=8 when x=-2 find y when x=4
The value of y will be -4 when the value of x is 4.
What is an equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
The equation of the given condition will be given as:-
y = [tex]\dfrac{k }{x}[/tex]
At y = 8 when x = -2 so
8 = [tex]\dfrac{k}{-2}[/tex]
k = -16
The value of y at x = 4 will be calculated as:-
y = [tex]\dfrac{-16}{4}=-4[/tex]
Therefore the value of y will be -4 when the value of x is 4.
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A rectangular prism has a length of 8 in., a width of 4 in., and a height of 2 1/4 in.
The prism is filled with cubes that have edge lengths of 14 in.
How many cubes are needed to fill the rectangular prism?
Enter your answer in the box.
To fill the rectangular prism,
cubes are needed.
The number of cubes needed to fill the rectangular prism 4608 cubes.
How to find volume of rectangular prism and cube?volume of rectangular prism = lwh
where
l =lengthw = widthh = heightTherefore,
volume of the rectangular prism = 8 × 4 × 9 / 4 = 72 inches³
volume of the cube = l³
where
l = lengthTherefore,
volume = (1 / 4)³
volume of the cube = 1 / 64 inches³
Therefore,
The number of cubes needed to fill the rectangular prism = 72 ÷ 1 / 64
The number of cubes needed to fill the rectangular prism = 72 × 64 = 4608
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helppppp will give brainliest
Determine whether the relationship is an inverse variation or not. Explain.
a The product xy is not constant, so the relationship is an inverse variation.
b The product xy is constant, so the relationship is not an inverse variation.
c The product xy is constant, so the relationship is an inverse variation.
d The product xy is not constant, so the relationship is not an inverse variation
Answer:
The product xy is constant, so the relationship is an inverse variation.
Step-by-step explanation:
Inverse variation is the mathematical relationship between two variables which can be expressed by an equation in which the product of two variables is equal to a constant.
inverse variation is the relationships between variables that are represented in the form of y = k/x, where x and y are two variables and k is the constant value. It states if the value of one quantity increases, then the value of the other quantity decreases.
Here, the product xy is constant and gives the product as 960.
The relationship is inverse relationship.
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Lilly is a pizza driver. Lilly has to make 4 deliveries.
Delivery 1: 35 Minutes
Delivery 2: 14 Minutes
Delivery 3: 18 Minutes
Delivery 4: 27 Minutes
What is the average amount of time it takes to deliver pizza?
Answer:
23 min 30 sec
Step-by-step explanation:
First, you add 35 + 14 + 18 + 27 which is 94.
Next, you divide 94 by the number of deliveries there were. Which is 4.
94/4 = 23.5.
So your answer would be 23 minutes and 30 seconds.
I Hope This Helped :D
Answer:
23.5 minutes or 23 minutes and 30 seconds
Step-by-step explanation:
1. add all the minutes
35 minutes + 14 minutes + 18 minutes+ 27 minutes = 94 minutes
2. Divide the total amount of minutes by the number of deliveries
94 minutes = 23.5 minutes or 23 minutes and 30 seconds
4 deliveries
The quadrilateral below is formed from a parallelogram and an
isosceles triangle.
Calculate the size of angle VQU.
Answer:
VQU =58°
Step-by-step explanation:
angle QUV is 61 because of F angles (I don't know what they call them in ur country)
triangle QUV is an isosceles triangles so base angles are the same
61+61=122
180-122=58
I need help for solving y in this problem 2x -y =1
Answer:
y = 2x - 1
Step-by-step explanation:
Given equation: 2x - y = 1
We're being asked to solve for y. This is also known as the Slope-Intercept Form. It is represented by the following formula:
y = mx + b
where:
m is the slopeb is the y-intercept (when x = 0)Steps:
1. Subtract 2x from both sides:
[tex]\sf 2x-2x - y = 1-2x\\\\\implies-y=-2x+1[/tex]
2. Divide both sides by -1:
[tex]\sf \dfrac{-y}{-1}=\dfrac{-2x+1}{-1}\\\\\implies y=2x-1[/tex]
This equation has a slope of 2, and a y-intercept of -1.
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Dr. Silas studies a culture of bacteria under a microscope. The function b1t=500(1.6)t represents the number of bacteria t hours after Dr. Silas begins her study. Is this an exponential growth or decay? Explain how you know. What does the value 500 represent in this situation? The number of bacteria in a second study is modeled by the function b2t=800(1.6)t. What is the growth rate, r, for this equation? What does the difference of 500 and 800 mean between the two studies?
Answer:
b is your answer
Step-by-step explanation:
The data set represents the number of minutes dan spent on his homework each night. 30, 35, 35, 45, 46, 46, 52, 55, 57 which box plot correctly represents the data?
The box plot that represents the data is the first option.
What box plot correctly represents the data?A box plot is used to study the distribution and level of a set of scores. The box plot consists of two lines and a box. The end of the first whisker represents the minimum number and the end of the second whisker represents the maximum number.
On the box, the first line to the left represents the lower (first) quartile. The next line on the box represents the median. The third line on the box represents the upper (third) quartile.
Minimum value = 30
Maximum value = 57
1st quartile = 1/4 (n + 1)
1/4 x 10 = 2.5th term = 35
Third quartile = 3/4 x (n + 1 )
3/4 x 10 = 7.5 term = 53
Median = 46
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Shape x is translated by 4 units to the right and 1 unit down, what are the coordinates of c'
A coordinate system in geometry is a system that employs one or more integers, or coordinates, to define the position of objects. The coordinates of c' are (a+4, b-1).
What are coordinates?A coordinate system in geometry is a system that employs one or more integers, or coordinates, to define the position of points or other geometric components on a manifold such as Euclidean space.
Let the coordinates of c be represented by (a,b). Now, if the shape x is translated by 4 units to the right and 1 unit down. Then, the coordinates of c' are:
c = (a, b)
c' = (a+4, b-1)
Hence, the coordinates of c' are (a+4, b-1).
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Help please due in a couple minutes:,)
Answer:
The amount of air in a leaky tire.
Step-by-step explanation:
The plot shows a decrease with time (I'll assume the x axis is time).
Which of the answer options would one expect a decrease over time.
A leaky tire? YES
Hair length with soda? NO
Cost of a meal when adding appetizers? NO
Answer:
a. the amount of air in a leaky bicycle tire as time increases.
Step-by-step explanation:
since the scatter plot is descending(y), then we can infer whatever is being recorded is decreasing as time goes on (x)
a. is a great example, as you have a leak in a bicycle tire the air will decrease.
b. does not make any rational sense, since soda does not affect an individual's hair length.
c. does not make sense since the plot is getting smaller over time, therefore adding prices (of said appetisers) makes the cost go up not down.
therefore your answer is a. the amount of air in a leaky bicycle tire as time increases.
hope this helps:)
Help me solve please with in depth explanation
3. The table shows information about the times for 100 people to complete a task.
Answer:
kuch bhi hai one kutiya kamini sour hii byyHow do u solve 3/8+1/8-2/7+1/4
Answer:
13/28
Step-by-step explanation:
using pemdas we can determine that the equation is directly solves from left to right
so
first
we have
3/8 + 1/8
which is 4/8
you can simplify this to 1/2
then you have 1/2 - 2/7
you must make them have the same numerator
you can multiple 1/2 by 7/7 and 2/7 by 2/2
7/14 - 4/14 = 3/14
now you must add 3/14 and 1/4
but you to make them have the same numerator
so you multiply 3/14 by 2/2 and 1/4 by 7/7
6/28 + 7/28 = 13/28
that is your final answer
An aerospace company's stock closes Tuesday at $144.12. The next day, it gains $5.92. What is the new stock price?
Answer:
150.04
Step-by-step explanation:
144.12
5.92
+ 150.04
Which of the following is the quadratic parent function?
A. F(x) = x + 1
B. F(x) = Ixl
C. F(x)=x²
D. F(x) = 2x
Answer:
C
Step-by-step explanation:
A quadratic has to have an exponent of 2 somewhere. The only one of these functions that does is C
The quadratic parent function is f ( x ) = x²
What is Quadratic Equation?A quadratic equation is a second-order polynomial equation in a single variable x , ax² + bx + c=0. with a ≠ 0. Because it is a second-order polynomial equation, the fundamental theorem of algebra guarantees that it has at least one solution. The solution may be real or complex.
The roots of the quadratic equations are
x = [ -b ± √ ( b² - 4ac ) ] / ( 2a )
where ( b² - 4ac ) is the discriminant
when ( b² - 4ac ) is positive, we get two real solutions
when discriminant is zero we get just one real solution (both answers are the same)
when discriminant is negative we get a pair of complex solutions
Given data ,
Let the quadratic equation be represented as A
Now , the value of A is
f ( x ) = x²
The graph of the function f(x) = x² is a parabola that opens upward, symmetric with respect to the y-axis, and its vertex is at the origin (0, 0)
Now , the value of y is the square of x
Hence , the parent function is f ( x ) = x² and graph is plotted
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2,753 people go to a concert and tickets cost $5 each. If it costs $8,000 to put on the concert, how much money was made?
Answer:
Money made by tickets=
2753 x $5 = $13765
We have to subtract the cost of the concert from the money made by tickets to get our profit. Therefore,
$13765 - $8000 = $5765
the cost of kg of apples is $262.50. find the cost of 25 kg of apples
Answer:
Step-by-step explanation:
cost of 25 kg =262.50x25
=6562.5
Amanda think of a number, a. She subtract 4 then multiples the result by 2. Write an expression for her number?
Mariana runs a farm stand that sells bananas and grapes. Each pound of bananas sells for $1 and each pound of grapes sells for $2.25. Mariana made $72 from selling a total of 52 pounds of bananas and grapes. Graphically solve a system of equations in order to determine the number of pounds of bananas sold, x, and the number of pounds of grapes sold, y.
Answer:
jackson sold 27 pounds of bananas and 12 pounds of grapes :D
Step-by-step explanation:
Taking into account the definition of a system of linear equations, the number of pounds of bananas and grapes sold are 36 and 16 respectively.
System of linear equationsA set of two or more first-degree equations with two or more connected unknowns is referred to as a system of linear equations.
Finding the value of each unknown in order to satisfy all of the system's equations constitutes the process of solving an system of equations. To put it another way, it is necessary to find the values of the unknowns, as they must be replaced with values that, when used to solve the equations, is the process of solving a system of equations
This caseIn this case, a system of linear equations must be proposed taking into account that:
"x" is the number of pounds of bananas sold."y" is the number of pounds of grapes sold.You know:
Each pound of bananas sells for $1 and each pound of grapes sells for $2.25. Mariana made $72 from selling a total of 52 pounds of bananas and grapes.The system of equations to be solved is
x +y= 52
x + 2.25y= 72
There are several methods to solve a system of equations, it is decided to solve it using the graphical method. The system's equations are graphically represented by graphs in the graphical method. The solution of the system is the point of intersection between the graphs, since the coordinates of said point satisfy both equations.
Graphically, it can be seen that the intersection point is (36; 16). That is, the value of x is 36 and the value of y is 16.
Finally, the number of pounds of bananas sold are 36 and the number of pounds of grapes sold are 16.
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Find the equation of the line which:
passes through (3, 4) and is perpendicular to y=x+2
Answer:
y = -x + 7.
Step-by-step explanation:
General form:-
y = mx + c where m = slope. So:
y = x + 2 has a slope of 1.
The line perpendicular to it has slope -1/1 = -1
To find the required line we use the point-slope form with m = -1, x1 = 3 and y1 = 4.
y - y1 = m(x - x1)
y - 4 = -1(x - 3)
y - 4 = -x + 3
y = -x + 7.
James can hike f(n) miles after building up n days of stamina subject to a maximum of 10 days. Identify the domain that makes sense in this context.
The domain that makes sense in this context will be (0, 10].
What are domain and range?The domain means all the possible values of x and the range means all the possible values of y.
James can hike f(n) miles after building up n days of stamina, subject to a maximum of 10 days.
Then the domain that makes sense in this context will be (0, 10].
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A biologist is studying the effects of using a type of bacteria to clear drain pipes. She creates a simulation of a typical kitchen drain system and
uses it regularly for three days before introducing the bacteria. She then carries out her simulation for another 15 days.
The population of bacteria can be approximated using function b, where dis the number of days since she started the experiment and (d) is the
bacteria population in hundreds.
b(d) = √5.2d-15.6 +2
Use this information to complete the statement.
The domain over which the bacteria population Increases is
The domain over which the bacteria population Increases is [tex]d \ge 3[/tex]
How to determine the domain?The function is given as;
[tex]d = \sqrt{5.2d - 15.6} + 2[/tex]
Set the radicand greater than or equal to 0
[tex]5.2d - 15.6 \ge 0[/tex]
Add 15.6 to both sides
[tex]5.2d \ge 15.6[/tex]
Divide both sides by 5.2
[tex]d \ge 3[/tex]
Hence, the domain over which the bacteria population Increases is [tex]d \ge 3[/tex]
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What is the length of leg s of the triangle below?
45°
√32
45⁰
4
A. 4
B. 16
C. √32
D. 1.5
E. 2.2
F. √4
An isosceles right angled triangle has two equal sides, and those two equal sides make 90 degrees (right angle) internally. The correct option is A.
What is an isosceles right angled triangle?An isosceles right angled triangle has two equal sides, and those two equal sides make 90 degrees (right angle) internally.
Since the two of the angles of the triangle are equal, therefore, the length on the opposite sides of this angle will be equal to each other. Hence, we can write that the length of the side s will be equal to 4.
Hence, the correct option is A.
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Identify a pair of overlapping congruent triangles in the
diagram. Then use the given information to write a proof
to show that the triangles are congruent.
Proof
Given: AC = BC, LA = LB
Answer:
overlapping congruent triangles:
ΔACE ≅ ΔBCD
Proof:
given: AC ≅ BC, angle A ≅ angle B
angle ACB ≅ angle BCA by the reflexive property
ΔACE ≅ ΔBCD by the ASA triangle congruence property
Which table can be generated from the equation y = 2x + 17
Step-by-step explanation:
x | y
-2.| 13
-1. | 15
0. | 17
1. | 19
2. | 21
just start with the y-intercept and then add 2 or subtract two depending on whether your increasing x or decreasing x. as x increases 1 y increases 2.
Juniors and seniors were surveyed about whether they plan to attend a school dance.
94 out of 130 juniors plan to attend.
12 out of 140 seniors do not plan to attend.
The following table shows the results.
(see attachment for table)
What mistake was made in the table?
A. The total for the number of seniors is incorrect
B. The responses for the juniors are reversed
C. The number of juniors attending is incorrect
D. The responses for the seniors is incorrect
Answer:
The responses for the seniors are reversed.
Hope this helped!
Please help!!!!!!!!!!!
Let's take this problem step by step:
To find the ordered pair of the system:
⇒ must set both equations equal to each other
⇒ and solve for 'x'
Let's solve:
[tex]x^2-2x+3=-2x+19\\x^2-2x+2x+3-19=0\\x^2-16=0\\(x+4)(x-4)=0[/tex]
Let's find the x-values:
[tex](x-4)=0\\x=4\\\\(x+4)=0\\x=-4[/tex]
Let's find f(x)'s value for each 'x':
[tex]x=4\\f(4)=-2(4)+19=-8+19=11\\\\x=-4\\f(-4)=-2(-4)+19=8+19=27[/tex]
Answer: (4, 11), (-4,27)
Hope that helps!
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Question 1 of 25
Which estimate at a 95% confidence level most likely comes from a small
sample?
It is possible that a small sample size contributed to the 82% (±24%) estimate at a 95% confidence level.
A proportional confidence interval is provided by
[tex]\pi \pm z \sqrt{\frac{\pi (1-\pi )}{n} }[/tex]
Where π is the sample proportion, z is the critical value and n is the sample size.
The margin of error is represented by
[tex]z \sqrt{\frac{\pi (1-\pi )}{n} }[/tex]
As a result, smaller sample sizes result in wider margins of error. Option A has the greater margin of error in this scenario, so it most likely employed the smallest sample size.
Therefore we can conclude It is possible that a small sample size contributed to the 82% (±24%) estimate at a 95% confidence level. Option A is correct.
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-Find the y-intercept of the line with the equation 2x+y=5.
A. -5
B.
-2
C. 1/2
D. 0
E. 5
Answer:
E. 5
Step-by-step explanation:
Let's rewrite the equation in the form of y=mx+b, where m is the slope and b is the y-intercept (the value of y when x = 0).
2x + y = 5
y = -2x+5
M, the slope, is -2
5, b, is the y-intercept
See attached graph.
