Answer:
8^4
Step-by-step explanation:
Here we have:
8^6 · 8³
-------------
8^5
That's multiplication in the numerator. The appropriate rule of exponents states that:
8^a·8^b = 8^(a+b), so the numerator is equivalent to 8^(6 + 3) = 8^9.
Now we have
8^9
------
8^5
and the appropriate rule for division here is
8^a / 8^b = 8^(a - b)
So our:
8^9
--------- 8^(9-5) = 8^4
8^5
In the figure, lines m and n are parallel to each other. Lines p and q are also parallel to each other.
The value of x is ????? degrees, and the value of y is ??????? degrees.
The value of X is 112° and The value of Y is 68°
Answer:
Angle y: 68°
Angle x: 112°
Step-by-step explanation:
When you are dealing with two sets of parallel lines where one set intercepts the other, angles are always the same as the parallel line's angle. In this example
∡PM = 68° = ∡y°
Seeing that we now know that y is 68° and q is a straight line (Straight Lines have an angle of 180°) we can subtract 68° from 180° in order to get the degree of the angle x.
180° - 68° = 112°
Now we know that angle y is 68° and angle x is 112°
I hope this answered your question. If you have any more questions feel free to ask away at Brainly.
Please help. I would really appreciate it.
[tex]f(x) = 3 {x}^{2} + 5x + 1 \\ \\ \frac{f(x + h) - f(x)}{h} \\ \\ \frac{(3(x + h)^{2} + 5(x + h) + 1) - (3 {x}^{2} + 5x + 1 }{h} \\ \\ \frac{(3( {x}^{2} + 2xh + {h}^{2}) + 5x + 5h + 1) - 3 {x}^{2} - 5x - 1}{h} \\ \\ \frac{3 {x}^{2} + 6xh + 3 {h}^{2} + 5x + 5h + 1 - 3 {x}^{2} - 5x - 1 }{h} \\ \\ \frac{6xh + 3 {h}^{2} + 5h}{h} \\ \\ \frac{h(6x + 3h + 5)}{h} \\ \\ = 6x + 3h + 5[/tex]
A solid is composed of squares and equilateral triangles. It’s net is shown below:
The area of each triangle is 4 square units. The surface area of the triangular prism is __ square units. (Input whole number only)
PLEASE ANSWER QUICKLY!
Answer:
35 square units
Step-by-step explanation:
The surface area of the given solid will be the sum of areas of all of its sides. From the given figure we can see that the sides(faces) of the solid are:
2 Equilateral Triangles3 SquaresThe Area of each triangle is 4 square units. So we need to calculate the area of the squares.
Side length of square = 3 units
Area of square = Length² = 3² = 9
Surface Area of Given Solid = Area of 2 Triangles + Area of 3 Squares
= 2(4) + 3(9)
= 8 + 27
= 35 square units
Surface Area of Given Solid = 35 square units
Answer:
The surface area of the triangular prism is 35 square units
Step-by-step explanation:
It is given that,A solid is composed of squares and equilateral triangles
The area of each triangle is 4 square units
To find the surface area of solid
From the figure we get,
Surface area = Area of 2 triangle + area of 3 squares
There are 2 triangles with area = 4 square units
Area of 2 triangle = 2 * 4 = 8 square units
There are 3 squares with side = 3 units
Area of 1 square = 3 * 3 = 9 square units
Area of 3 squares = 3 * 9 = 27 square units
Surface area = 8 + 27 = 35 square units
The surface area of the triangular prism is 35 square units
Your mission is to dilate the rectangle shown below by a scale factor of 2.
Answer:
The dimensions of the dilated rectangle are 30 cm x 16 cm
Step-by-step explanation:
we know that
To find the dimensions of the dilated rectangle, multiply the original dimensions by the scale factor
so
Let
A'B'C'D'------> the dilated rectangle
z-------> the scale factor
we have
z=2
A'B'=AB*z=15*2=30 cm
B'D'=BD*z=8*2=16 cm
The dimensions of the dilated rectangle are 30 cm x 16 cm
Math , pls helppp ASAP
The tangent line AC forms a right angle with the radius line OC, so the angle at C is 90 degrees.
Angle O is given as 45 degrees, so angle A needs to equal:
180 - 90 - 45 = 45 degrees.
A person has body fat percentage of 17.2% and weighs 171 pound how many pounds of her weight is made up of fat
Answer: 29.41 pounds
Step-by-step explanation:
You have the following information given in the problem:
- The fat percentage that the person has is 17.2%
- The person weighs 171 pounds.
Therefore, to calculate the amount of pounds of her weight is made up of fat (which you can call x), you must multiply the weight of the person by the fat percentage.
Therefore, you obtain the following result:
[tex]x=171lb*0.172\\x=29.41lb[/tex]
If a day of the week is chosen at random, what is the probability of choosing Wednesday?
The probability of choosing Wednesday is 1/7
How to determine the probabilityThere are 7 days in a week, and one of the days is Wednesday.
So, we have:
Days = 7
Wednesday = 1
The probability of choosing Wednesday is calculated as:
P(Wednesday) =Wednesday/Days
This gives
P(Wednesday) = 1/7
Hence, the probability of choosing Wednesday is 1/7
Read more about probability at:
https://brainly.com/question/25870256
For the function F(x) = 1/x, whose graph is shown below, what is the relative value of F(x) when the value of x is close to zero?
A - Either a very large positive or very large negative number
B.A very small positive number
C. Only a very large positive number
D.Only a very large negative number
E.Either a very small positive or very small negative number
A school sold small and large boxes of fruit for a fundraiser. One student sold 5 small boxes and 13 large boxes for $232. Another student sold 12 small boxes and 7 large boxes for $218. Their sales can be represented in two equations where x represents the price of the small boxes and y represents the price of the large boxes. Which constants can be multiplied by the equations so one variable will be eliminated when the systems are added together? Check all that apply.
The first equation can be multiplied by –12 and the second equation by 5 to eliminate x.
The first equation can be multiplied by 5 and the second equation by 12 to eliminate x.
The first equation can be multiplied by –7 and the second equation by 13 to eliminate y.
The first equation can be multiplied by 7 and the second equation by –13 to eliminate y.
The first equation can be multiplied by 12 and the second equation by –5 to eliminate x.
The first equation can be multiplied by 7 and the second equation by 13 to eliminate y.
Answer:
A,C,D,E
Step-by-step explanation:
Answer:
A,C,D,E are correct.
Step-by-step explanation:
What is the value of k?
Please answer ASAP, Thank you :)
Answer:
k = 10
Step-by-step explanation:
The external angle of a triangle is equal to the sum of the 2 opposite interior angles.
∠ZYM is an exterior angle of the triangle and
∠'s YZX and ZXY are the 2 opposite interior angles, hence
4k + 5 + 6k + 10 = 115
10k + 15 = 115 ( subtract 15 from both sides )
10k = 100 ( divide both sides by 10 )
k = 10
Answer:
k=10
Step-by-step explanation:
∠ZYX= 180-115= 65 these are supplementary angles adding up to 180°.
The interior angles in the triangle should add up to 180°
Adding the values and then equating to 180° we get the following equation.
65+(4k+5)+(6k+10)=180°
simplifying we get: 80+10k=180
10k=180-80
10k=100
k=10
After removing the outlier, what does the mean absolute deviation of this data set represent?
Correct answer gets brainliest
Answer:
3.2 inches
Step-by-step explanation:
1. The outlier is 23 inches, it is very big compared to the other numbers.
2. The average is 6 inches.
3. The deviations are: 4, 3, 5, 3, 1, 4, 4, 4, 3, and 1.
4. The mean of those numbers is 3.2 inches.
Answer:
THE ANSWER IS 3.2 INCHES
Step-by-step explanation:
Miranda spent 1/5 of her time cooking pasta. If she spent 2 hours cooking, did Miranda spend more than, less than, or equal to 2 hours cooking pasta? Explain.
Step-by-step explanation:
Less than 2 hours. Since 100 percent of her time is 2 hours and she only spent 20 percent of 2 hours, which is less than 100 percent, it is less than
Answer:
more
Step-by-step explanation:
1/5 times 2 is equal to 3
write an integer to represent 30 meters below sea level. explain the meaning of 0 in this situation
1.32 repeating as a fraction
Answer:
[tex]\frac{131}{99}[/tex]
Step-by-step explanation:
Let
[tex]x=1.323232...[/tex]
Multiply x by a power of [tex]10[/tex], one that keeps the decimal part of the number the same:
[tex]100x=132.3232..[/tex]
Subtract [tex]x[/tex] from [tex]\\100x[/tex]
[tex]100x-x=132.3232...-1.3232...=131[/tex]
The repeating decimals should cancel out
[tex]\\99x=131[/tex]
solve for x
Divide by [tex]99[/tex] both sides
[tex]x=\frac{131}{99}[/tex]
Help I’ll rate you brainliest
Answer:
5 strides because 6-1=5
Step-by-step explanation:
➷ You just need to count the number of squares. It would be 5 strides.
The mathematical way is using the y values:
6 - 1 = 5
It is 5 strides.
✽➶ Hope This Helps You!
➶ Good Luck (:
➶ Have A Great Day ^-^
↬ ʜᴀɴɴᴀʜ ♡
a rectangular metallic block is 16 cm long . 8 cm broad and 4 cm thick . If it is melted and converted into a cube , find the surface area of the cube
r u ccfqrh 3tg14yhq4u51uh5qubqtjbtqjb
Answer:
384 cm²
Step-by-step explanation:
Calculate the volume of metal in the block
V = 16 × 8 × 4 = 512 cm³
Then the volume of the cube = 512 cm³
That is
s³ = 512 ← s is length of side of cube, hence
s = [tex]\sqrt[3]{512}[/tex] = 8 cm
The cube has 6 square faces, hence
surface area = 6 × 8² = 6 × 64 = 384 cm²
Does the rule y=-3*2^x represent a linear or an exponential function?
Answer:
its exponential because the parent function is y=(a)(b)^x
Step-by-step explanation:
Final answer:
The rule y = -3 ∙ 2ˣ defines an exponential function due to the term 2ˣ, where the base 2 is a constant raised to the variable power x, leading to a rapid change in y values as x changes.
Explanation:
The rule y = -3 ∙ 2ˣ represents an exponential function, not a linear function. In a linear function, the variable x is raised to the first power and appears in the form y = mx + b, where m and b are constants, and the graph is a straight line. In contrast, an exponential function is of the form y = a ∙ bˣ, where a and b are constants, and b is the base raised to the power of x.
The presence of the term 2ˣ indicates that as x increases, the value of y changes at an exponential rate. This is characterized by a curve that shows a rapid increase or decrease in value rather than a constant rate of change. Additionally, since the base b (which is 2 in this case) is a positive number other than 1, and it is raised to the power of x, this confirms the exponential nature of the function.
what are the new coordinates of the figure aboge if it is reflected over the y axis?
The new coordinates of the figure is :
A=( 1,5) B= (-4,5) C= (-4,8)
Transformations on a Plane:A point on a plane can be subject to transformations. Examples of transformations that can be done on points are translations, reflections, or rotations about a point. These transformations are also observed algebraically, in which functions on the coordinates are applied.
Recall that if (x, y) is a point on the plane, reflecting it across the y-axis means that the x-coordinate is negated:
(x, y) => (-x, y)
The coordinates of the figure is
A = (-1,5)
B = (4, 5)
C = (4, 8)
The new coordinates of the figure is :
A=( 1,5) B= (-4,5) C= (-4,8)
This means that the first coordinate is changed, and the y-coordinate is left as is.
Therefore, it is the y-coordinate that stays the same when reflected across the y-axis.
Learn more about Reflected y axis at:
https://brainly.com/question/35148651
#SPJ3
A (1, 5), B (-4, 5), C (-4, 8) are the new coordinates of the figure aboge if it is reflected over the y axis.
In the realm of plane geometry, various transformations can be applied to points, facilitating a means of altering their positions or orientations. These transformations include translations, reflections, and rotations, all of which have algebraic representations.
When reflecting a point across the y-axis, as denoted by the transformation (x, y) => (-x, y), the x-coordinate is negated while the y-coordinate remains unaffected.
This can be observed in the coordinates of the figure:
A (-1, 5)
B (4, 5)
C (4, 8)
After the reflection, the new coordinates become:
A (1, 5)
B (-4, 5)
C (-4, 8)
It is evident that the reflection operation results in the change of the sign of the x-coordinate while leaving the y-coordinate unaltered. Consequently, the y-coordinate remains the same when a point is reflected across the y-axis, illustrating a fundamental property of this geometric transformation.
For similar question on coordinates
https://brainly.com/question/29660530
#SPJ2
Find the center, vertices, and foci of the ellipse with equation 2x2 + 8y2 = 16.
A) Center: (0, 0); Vertices: the point zero comma negative two square root two and the point zero comma 2 square root two ; Foci: Ordered pair 0 comma negative square root 6 and ordered pair 0 comma square root 6
B) Center: (0, 0); Vertices: (-8, 0), (8, 0); Foci: Ordered pair negative 2 square root 15 comma 0 and ordered pair 2 square root 15 comma 0
C) Center: (0, 0); Vertices: (0, -8), (0, 8); Foci: Ordered pair 0 comma negative 2 square root 15 and ordered pair 0 comma 2 square root 15
D) Center: (0, 0); Vertices: the point negative square root six comma zero and the point square root six comma zero ; Foci: Ordered pair negative square root 6 comma 0 and ordered pair square root 6 comma 0
Step-by-step explanation:
i think its B I'm not really sure
In an experiment, the one variable that is changed by the person doing the experiment is called the Question 2 options: controlled variable testing variable independent variable dependent variable
Answer: Independent Variable
Step-by-step explanation:
The independent (or manipulated) variable is something that the experimenter purposely changes or varies over the course of the investigation. The dependent (or responding) variable is the one that is observed and likely changes in response to the independent variable.
f(x)=1/x-5, g(x)=5x-1/x A. Use composition to prove whether or not the functions are inverses of each other. B. Express the domain of the compositions using interval notation.
Answer:
Not inverse of each other
Domain : [-∞,0) U (0,5) U (5,∞]
Step-by-step explanation:
Given in the question two functions
f(x)=1/x-5
g(x)=5x-1/x
To find that each of them are inverse of each other we will use composition
f(g(x))[tex]\frac{1}{\frac{5x-1}{x}-5 }[/tex]
take LCM
[tex]\frac{1}{\frac{5x-1-5x}{x}}[/tex]
5x will be cancel
[tex]\frac{1}{\frac{-1}{x}}[/tex]
1 ÷ (-1/x)
1 × (-x/1)
-x
Now,
g(f(x))[tex]\frac{5\frac{1}{x-5} -1}{\frac{1}{x-5}}[/tex]
[tex]\frac{5}{x-5} -1}[/tex] × [tex]5-x[/tex]
[tex]\frac{5-x+5}{x-5} * (x-5)[/tex]
10-x
As it ended up with different answers, so f(x) and g(x) are not inverse of each other
The domain are all the possible x-values of function except x ≠ 0 and x ≠ 5
We can conclude that the domain of the composition function is
Domain : [-∞,0) U (0,5) U (5,∞]
To prove whether or not the functions f(x) = 1/(x-5) and g(x) = (5x-1)/x are inverses of each other, we need to show that their compositions result in the identity function. We also need to find the domain of the compositions f(g(x)) and g(f(x)).
Explanation:To prove whether or not the functions f(x) = 1/(x-5) and g(x) = (5x-1)/x are inverses of each other, we need to show that their compositions result in the identity function. Let's start by finding the composition f(g(x)):
Plug in g(x) into f(x): f(g(x)) = f((5x-1)/x)Simplify f(g(x)) by substituting (5x-1)/x into the expression for f(x)Simplify further to obtain the composition f(g(x)) as a function of xNow, we need to find the composition g(f(x)): g(f(x)) = g(1/(x-5))
Follow the same steps as above to simplify g(f(x)) as a function of x. If the compositions f(g(x)) and g(f(x)) both result in the identity function, then the functions f(x) and g(x) are inverses of each other.
To express the domain of the compositions f(g(x)) and g(f(x)), we need to consider the restrictions on the domains of the individual functions. The domain of f(g(x)) will be the values of x for which (5x-1)/x is defined, and the domain of g(f(x)) will be the values of x for which 1/(x-5) is defined.
Learn more about Composition of Functions here:https://brainly.com/question/30143914
#SPJ3
Which equation would best help solve the following problem?
Brett kicks a field goal with an initial vertical velocity of 42m/s.how long will it take the football to hit the ground?
Answer:
C
Step-by-step explanation:
You are making a couple of assumptions. The first is that since the given has units of m/s that requires an acceleration based in m/s^2. That eliminates choices A and B. 16 is usually associated with f/s^2
Second, you are assuming 42m/s is positive and the acceleration due to gravity is negative. It doesn't matter as long as they are opposite.
Third, you are assuming that 42 m/s is the vertical acceleration. If it is not then some sort of trigonometry is needed. Since your choices don't offer trig then this assumption must be taken care of.
So the correct answer is C.
The vertex form of the equation of
a parabola is y = 2(x +4)^2 - 7.What is the standard form of the equation?
Answer:
The standard form of the equation is y = 2x^2 + 16x + 25
Step-by-step explanation:
To find the standard form, first square the parenthesis.
y = 2(x + 4)^2 - 7
y = 2(x^2 + -8x + 16) - 7
Now distribute the 2
y = 2(x^2 + 8x + 16) - 7
y = 2x^2 + 16x + 32 - 7
Now combine like terms
y = 2x^2 + 16x + 32 - 7
y = 2x^2 + 16x + 25
8+2(1+12÷2)^2
Please explain
Answer:
The best thing to do here is PEMDAS which is parenthesis, exponents, then eith multiply, divide, add, subtract which will help you figure out the answer and when you plug it all in you get 106 as ur answer
Step-by-step explanation:
Find the value of x°
25°
85°
75°
105°
Answer:
x = 75 degrees
Step-by-step explanation:
155 and the angle next to it makes 180 degrees
To find the missing angle take 180 and subtract 155
180 - 155 = 25
All the angles in the upper triangle are 25, 80 and x
To find x add 80 and 25
80 + 25 = 105
A triangle equals 180 degrees so subtract 105 from 180 to get x
180 - 105 = 75
Hope this helps.
Answer: The angle is 75°
Step-by-step explanation:
Please give the other person brainliest, they deserve it :3
A landscape architect wishes to enclose a rectangular garden on one side by a brick wall costing $24 per foot and on the other three sides by a metal fence costing $8 per foot. If the area of the garden is 800 ft, find the dimensions of the garden minimizing the cost. (Let x be the length of the brick wall and y be the length of an adjacent side in feet.)
Answer:
x = 20 feet, y = 40 feet
Step-by-step explanation:
See attached photo for solution
The length of the brick wall is 20 ft and the length of an adjacent side is 40 ft and this can be determined by forming the linear equation in two variables.
Given :
A brick wall costs $24 per foot and on the other three sides by a metal fence costs $8 per foot.The area of the garden is 800 [tex]\rm ft^2[/tex].Let 'x' be the length of the brick wall and 'y' be the length of an adjacent side in feet. Then the area of the garden is:
xy = 800 --- (1)
The perimeter of the rectangular garden will be:
Perimeter = 24x + 8x +2(8)y ---- (2)
Now, solve equation (1) for y.
[tex]y = \dfrac{800}{x}[/tex] --- (3)
Now, put the value of 'y' in equation (2).
[tex]\rm P=32x+16\times \dfrac{800}{x}[/tex]
Now, for minimizing cost differentiate the perimeter with respect to 'x'.
[tex]\rm P'=32-16\times \dfrac{800}{x^2}[/tex]
Now, equate the above equation to zero.
[tex]0=32-16\times \dfrac{800}{x^2}[/tex]
[tex]\dfrac{800}{2}={x^2}[/tex]
x = 20
Now, put the value of 'x' in the equation (3).
[tex]y = \dfrac{800}{20}[/tex]
y = 40
For more information, refer to the link given below:
https://brainly.com/question/22122594
True or False. You have to flip the inequality symbol in this problem:
-3x < 15
True
False
You can multiply both sides of an inequality by the same, nonzero number, but if this number is negative, you have to flip the sign.
In this case, in order to solve for x, you have to divide by -3 (i.e. multiply by -1/3), so yes, you must switch the sign:
[tex]-3x<15 \implies x>-5[/tex]
Alternatively, you may add 3x to both sides:
[tex]0<3x+15[/tex]
Subtract 15 from both sides:
[tex]3x>15[/tex]
And divide both sides by 3:
[tex]x>5[/tex]
The sign switch here was hidden behind the fact that we switched the two sides of the inequality
find the values of a and b
Answer:
a = 115, b = 71
Step-by-step explanation:
The figure has one pair of parallel sides and is a trapezium.
Using a property of trapeziums
• each lower base angle is supplementary to the upper base angle on the same side.
a = 180 - 65 = 115
b = 180 - 109 = 71
Given a cone with a volume of 56.52 in^3 and height 7 in., find the base radius of the cone.Use 3.14 for pi. Round your answer to the tenths place. a. 2.1 in c. 4.9 in b. 2.8 in d. 4.3 in
Answer:
B
Step-by-step explanation:
Volume of Cone formula is given by : [tex]V=\frac{1}{3}\pi r^2 h[/tex]
Given V = 56.52 and h = 7, we plug them in and solve for r:
[tex]V=\frac{1}{3}\pi r^2 h\\56.52=\frac{1}{3}(3.14) r^2 (7)\\56.52=7.33r^2\\\frac{56.52}{7.33}=r^2\\7.71=r^2\\r=\sqrt{7.71}\\ r=2.77[/tex]
rounding to tenths place, r = 2.8 inches
Answer choice B is right
Answer: c. [tex]4.9\ in.[/tex]
Step-by-step explanation:
The volume of cone is given by :-
[tex]V=\dfrac{1}{3}\pi r^2 h[/tex], where r is radius and h is height of the cone.
Given: Height : 7 in.
Volume : [tex]56.52\ in^3[/tex]
Then the volume of the cone will be :-
[tex]56.52=\dfrac{1}{3}(3.14) r^2(7)\\\\\Rightarrow\ r^2=\dfrac{56.52\times3}{7\cdot3.14}\\\\\Rightarrow\ r^2=24.22285714\\\\\Rightarrow\ r=4.921672189\approx4.9\ in.[/tex]
Hence, the radius of the cone = [tex]4.9\ in.[/tex]
Betsy spent 26 days traveling in Europe. How many hours did she spend traveling in Europe.