Since the difference between consecutive terms is the same, the sequence is an arithmetic sequence, hence Mai is correct.
What is the missing information?The sequence is missing, and has these following information:
The first term is of 2.The second term is of 6.The fifth term is of 18.We also have that:
Jada says that the sequence is geometric.Mai says that the sequence is not geometric.What is an arithmetic sequence?In an arithmetic sequence, the difference between consecutive terms is always the same, called common difference d.
The nth term of an arithmetic sequence is given by:
[tex]a_n = a_1 + (n - 1)d[/tex]
From the values os the function, we have that:
d = a2 - a1 = 4.4d = a5 - a1 -> 4d = 16 -> d = 4.3d = a5 - a2 -> 3d = 18 - 6 -> 3d = 12 -> d = 4.The rate of change is the same, hence sequence is an arithmetic sequence, and Mai is correct.
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DUE TONIGHTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTT
The estimate for the side length of the square = the width of the rectangle (w) = √44.
What is the Area of a Rectangle?Area of Rectangle = (length)(width)
Given the parameters below:
Width of the rectangle = wLength of the rectangle = 2wArea of the rectangle = 88 square unitsIf this rectangle is divided to form two squares with equal areas, then the side length of each square would be equal to the length of the original rectangle = w.
(2w)(w) = 88
2w² = 88
w² = 88/2
w² = 44
√w² = √44
w = √44
Thus, an estimate of the side length of the square = the width of the rectangle (w) = √44.
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HELPPPPPPPPPPPPP ILL MARK BRAINLIEST
Answer:
-9.2 or -9 1/5
Step-by-step explanation:
Hope it helps!
Answer:
m = -40
Step-by-step explanation:
Solve for m by simplifying both sides of the equation, then isolating the variable.
Steve had the option to buy a new computer at the $4250.00 cash price or to rent it for $595.00 per month for 10 months. after which he will own the computer. What percentage more than the cash price would the rent option cost him?
Answer:
I believe it's 25% .............
Answer:
40%
Step-by-step explanation:
The cash price = $4,250
If Steve rents the computer for $595 for 10 months he would have to spend $595 x 10 = $5,950
The difference in money = 5950 - 4250 =$1700
As a percentage of the cash price this would be
1700/4250 x 100 = 40%
Answer:
Rent option is 40% more than the cash price 40%
We can verify this by noting that if there is an increase of r% in the price of an item then
Increased price = Old price + Increase
= Old price + Old price x r/100
In this case, Old price = 4250
r = 40%, r/100 = 0.04
New price = 4250 + 4250 x 0.04 = 4250(1 + 0.04) = 4250(1.04) = 5950 which tallies with given figures
What is the sum of the 3rd square number and the 3rd cube number?
Answer:
36
Step-by-step explanation:
[tex]3^{2}[/tex] = 9 (3x3)
[tex]3^{3}[/tex] = 27 (3x3x3)
9 + 27 = 36
a conical frustum has bases with radii of $9$ and $12,$ and a height of $4.$ the total surface area of the frustum is $a$, in square units, and the volume of the frustum is $v$, in cubic units. find $a v.$
Slant height of the conical frustum, l = 5 units.
Total surface area of the conical frustum, a = 329.87 square units.
Volume of the conical frustum, v = 1394.87 cubic units.
Given,
Radii of bases of a conical frustum,
r₁= 9
r₂ = 12
Height = 4
We have to find the total surface area of the frustum and volume of the frustum.
Formula for total surface area, a = [tex]\pi l(r_{1} +r_{2}[/tex][tex])[/tex]
Volume of the frustum, v = [tex]\frac{1}{3} \pi h(r_{1} ^{2} +r_{2} ^{2} +(r_{1} r_{2} )} )[/tex]
Here l is the slant height.
Slant height, l = [tex]\sqrt{(r_{1} -r_{2} )^{2} +h^{2} }[/tex]
First we have to find the slant height.
l = [tex]\sqrt{(r_{1} -r_{2} )^{2} +h^{2} }[/tex]
l = [tex]\sqrt{(9-12)^{2}+4^{2} }[/tex]
l = [tex]\sqrt{(-3)^{2} +16}[/tex]
l = [tex]\sqrt{9+16}[/tex]
l = [tex]\sqrt{25}[/tex]
Slant height, l = 5 units
Now,
Total surface area, a = [tex]\pi l(r_{1} +r_{2}[/tex][tex])[/tex]
a = [tex]\pi[/tex] × 5 × ( 9 + 12)
a = [tex]\pi[/tex] × 5 × 21
a = 329.87 square units.
Then,
Volume of the frustum, v = [tex]\frac{1}{3} \pi h(r_{1} ^{2} +r_{2} ^{2} +(r_{1} r_{2} )} )[/tex]
v = [tex]\frac{1}{3}[/tex] × π × 4 × (9² + 12² + ( 9×12))
v = [tex]\frac{1}{3}[/tex] × π × 4 × (81 + 144 + 108)
v = [tex]\frac{1}{3}[/tex] × π × 4 × 333
v = 1394.87 cubic units.
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Read each question. Then write the letter of the correct answer on your paper.Use the sum of cubes formula to factor x³+64 .
(A) (x+4)(x²-4 x+4) (B) (x+4)(x²+4x+4) (C) (x+4)(x²-4 x+16) (D) (x+4)(x²+4 x+16)
The solution of factorization of x ³ + 64 is ( x + 4 )( x ² - 4 x + 16 ) [ Option C ].
The question asks to factorize the given polynomial, that is, x ³ + 64.
The question clearly states that we need to use the sum of cubes formula to factor the given polynomial x ³ + 64.
Sum of cube formula is given as
a ³ + b ³ = ( a + b ) ( a ² - a b + b ² ).
Substitute the values of variable a and b from the given polynomial x ³ + 64
x³ + 64 can be written as x ³ + 4 ³
=> a = x and b = 4
=> x ³ + 4 ³ = ( x + 4 ) ( x ² - 4 x + 4 ² )
=> x ³ + 4 ³ = ( x + 4 ) ( x ² - 4 x + 16 )
This matches with the option c among the multiple choices for this question.
Therefore, we get the solution of factorization of x ³ + 64 as ( x + 4 )( x ² - 4 x + 16 ).
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what is the midpoint of a line segment with the endpoints (8,-3) and (-5,-9)
Answer: (3/2,-6)
Step-by-step explanation:
Answer:
Formula for midpoint is given as [(x1+x2)÷2, (y1+y2)÷2] where x and y are the coordinates of the points.
Midpoint = [(8+(-5))÷2, (-3+(-9))÷2]
= (3/2, -12÷2)
= (3/2, -6)
if A= [2 6] prove that (A')' = A
3 7
4 9
Answer:if A= [2 6] prove that (A')' = A
3 7
4 9
Step-by-step explanation:
The number of bacteria in a bacterial culture increased by 149% in 110 hours. How many bacteria were there after 55 hours if there were 4850 pcs. from the beginning?
Round the answer to whole tens.
a. 8980 pcs
b. 7650 pcs
c. 7890 pcs
d. 7760 pcs
Multiply and simplify. 4√16 x⁸ . 4√x¹⁴
Solving the problem by multiplying and simplifying we have as a result 16x¹⁵
What is simplification?Simplification is a process of reducing terms to expressions, which do not generate changes or values.
What is multiplication?Multiplication is also known as product, and it is a mathematical operation of a successive sum, this operation consists of adding a number a certain number of times:
a x b the number "a" will be added "b" times.
The algebraic expression that we must simplify to its minimum expression is:
4√16 x⁸ . 4√x¹⁴
4×4x⁸ × 4x¹⁴/²
16x⁸× 4x⁷ ; multiply power of equal base
16x⁸⁺⁷
16x¹⁵
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A recipe says it produces the best summer drink the recipe calls for 1/2 cups of lemonade for every 1 1/2 cups of iced teas if 16 cups of the summer drink are made how many of those are cups of lemonade use the table to help you find your answer
The solving of fraction shows that there are 4 cups of lemonade use the table.
What is fraction?A fraction seems to be a part of a whole. The number is expressed in arithmetic as a quotient, which is the numerator divided by that of the denominator. Both are integers in a simple fraction. A complex fraction has a fraction in both the numerator and the denominator.
Why is it critical to understand fractions?Fractions help children know the nature of numbers but instead their interactions (e.g., the meaning of division) (e.g., the meaning of division). If a child does not grasp how fractions work, he will struggle to understand algebra later in life.
According to the given data:Based on the given conditions, formulate:
= [tex]16 \times \frac{1}{2} \div\left(\frac{1}{2}+1 \frac{1}{2}\right)[/tex]
Convert the expression into a fraction:
= [tex]\frac{16}{2 \times\left(\frac{1}{2}+\left(\frac{1}{1}+\frac{1}{2}\right)\right)}[/tex]
Expand the fraction to get the least common denominator:
= [tex]\frac{16}{2 \times\left(\frac{1}{2}+\left(\frac{2}{1 \times 2}+\frac{1}{2}\right)\right)}[/tex]
Calculate the product or quotient:
= [tex]\frac{16}{2 \times\left(\frac{1}{2}+\left(\frac{2}{2}+\frac{1}{2}\right)\right)}[/tex]
Write the numerators over common denominator:
= [tex]\frac{16}{2 \times \frac{1+2+1}{2}}[/tex]
Write the numerators over common denominator:
= [tex]\frac{16}{2 \times \frac{3+1}{2}}[/tex]
Calculate the sum or difference:
= [tex]\frac{16}{2 \times \frac{4}{2}}[/tex]
Calculate the sum or difference:
= 16 /2
Cross out the common factor:
= 4
This shows that there are 4 cups of lemonade use the table.
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Super pets charges $20 for the application fee to dog sit. after that, it charges $10 per hour.
fancy pets charges $60 for the application fee to dog sit. after that, it charges $2 per hour.
a) write a linear equation to model each company. make sure to label each one.
Answer:
Super = 20 + 10x
Fance = 60 + 2x
Step-by-step explanation:
→ Start with the set fee for both
Super = 20 +
Fancy = 60 +
→ Assign a new variable to denote hours
x
→ Complete
Super = 20 + 10x
Fance = 60 + 2x
Solve the following absolute value equation.
|4x - 12| = 16
The absolute value of the given modulus function are -1 and 7.
What is defined as the modulus function?A modulus function returns this same magnitude of a number regardless of its sign. It's also acknowledged as the absolute value function. This same modulus function, signified by |x| in mathematics, gives the modulus of such a real number x. It returns a non-negative value for x. The modulus but rather absolute value of a number too is known as the number's distance from the origin or zero.The given modulus function is;
|4x - 12| = 16
Removing modulus sign will provide two values;
4x - 12 = ±16
Solve for positive value of modulus function;
4x - 12 = 16
Add 12 on both side;
4x - 12 + 12 = 16 + 12
4x = 28
Dive both side by 4.
x = 7
Now, solve for negative value of modulus function.
4x - 12 = -16
Add 12 on both side;
4x - 12 + 12 = -16 + 12
4x = -4
Divide both side by 4;
x = -1
Thus, the two value of the given modulus function are -1 and 7.
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a. Name a pair of vertical angles.
b. Name an angle supplementary to RPS
c. Name a pair of complementary angles.
d. Name an angle adjacent to TPU.
1) The vertical angle will be
∠RPQ= ∠TPU
Vertical angles are angles opposite each other where two lines cross.
Vertical angles are pair angles formed when two lines intersect. Vertical angles are sometimes referred to as vertically opposite angles because the angles are opposite to each other. Real-life settings where vertical angles are used include; railroad crossing sign, letter “X'', open scissors pliers etc.
2) angle ∠QPR and angle ∠TPS are supplementary to ∠RPS
Supplementary angles are two angles whose measures add up to 180° . The two angles of a linear pair
Supplementary angles are those angles that sum up to 180 degrees. For example, angle 130° and angle 50° are supplementary angles because sum of 130° and 50° is equal to 180°. Similarly,
3) complementary angle will be
∠QPR and ∠RPS
When the sum of two angles is equal to 90 degrees, they are called complementary angles. For example, 30 degrees and 60 degrees are complementary angles.
4) The adjacent angle will be ∠TPS
The two angles are said to be adjacent angles when they share the common vertex and side. The endpoint of the rays, forming the sides of an angle, is called the vertex of an angle. Adjacent angles can be a complementary angle or supplementary angle when they share the common vertex and side.
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A/an is calculated by dividing the difference between a data value and the mean by the standard deviation.
Answer:
z score
Step-by-step explanation:
(2x+5)(2x+9) Express as a trinomial
Answer:
Step-by-step explanation:(2x+5)(2x+9)
use foil method ([tex]4x^{2}[/tex]+18x+10x+45)
[tex]4x^{2}[/tex]+28x+45
An experiment will be conducted in which 20 pepper plants are randomly assigned to two groups. The plants in group 1 will receive the current fertilizer, fertilizer a, and the plants in group 2 will receive a new fertilizer, fertilizer b. All other growing conditions, including amount of sunlight and water, will be kept the same for the two groups. The growth of the pepper plants will be compared for the two groups. What are the experimental units in this experiment?.
Answer: E. The 20 plants in the two groups
Step-by-step explanation: experimental units are individuals on which the experiment is being performed. In this case the pepper plants are being used to test the effectiveness of the new fertilizer.
Help quick pls
Question two:
ABC is rotated ____ degrees ____ around point ____ to create abc
Triangle ABC is rotated 85° around the point D to create A'B'C'.
What is rotation?Rotation is a transformation in which a figure is turned around a point . This point is fixed and is called the center of rotation.
From the given diagram we can see that the triangle is rotated about the fixed point D with an angle of 85° such that A' is new location of A and B' and C' are new locations of B and C respectively.
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Identify each function for which f ( 2 ) = 3
The function which f(2) = 3 is the function with the equation f(x) = x + 1
How to identify the function?The function value is given as
f(2) = 3
The above means that the value of the function is 3 when x = 2
i.e., f(x) = 3 when x = 2 or we substitute 2 for x in f(x)
Next, we test the above function in the list of given options
So, we have
f(x) = x^2 + 1
Substitute 2 for x in f(x)
f(2) = 2^2 + 1
Evaluate the exponent in the above equation
So, we have
f(2) = 4 + 1
Evaluate the sum in the above equation
So, we have
f(2) = 5
f(x) = 2x + 1
Substitute 2 for x in f(x)
f(2) = 2 x 2 + 1
Evaluate the product in the above equation
So, we have
f(2) = 4 + 1
Evaluate the sum in the above equation
So, we have
f(2) = 5
f(x) = x + 1
Substitute 2 for x in f(x)
f(2) = 1 x 2 + 1
Evaluate the product in the above equation
So, we have
f(2) = 2 + 1
Evaluate the sum in the above equation
So, we have
f(2) = 3
Hence, the function which f(2) = 3 is the function with the equation f(x) = x + 1
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Possible question
Identify each function for which f (2) = 3
f(x) = x^2 + 1
f(x) = 2x + 1
f(x) = x + 1
f(x) = 2x^3 + 1
Put together the whole solution.
694÷41 is equal to 10+3+2+1 with a remainder.
694 divided by 41 is
remainder
.
694 divided by 41 goes into 16 times with remainder 38.
What is Division method?
Division method is used to distributing a group of things into equal parts.
Now, We can use long division in finding the remainder.
Place the divisor which is 41, outside the long division sign, and 694 under the long division sign as;
41 ) 694 ( 16
- 41
---------
284
- 246
----------
38
Hence, 694 divided by 41 goes into 16 times with remainder 38.
Since, 10 + 3 + 2 + 1 = 16
Therefore, 694 divided by 41 is 16 with remainder 38.
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Type the correct answer in the box. Use numerals instead of words. Use / for the fraction bar.
A cooler contains 14 bottles of water and 10 bottles of lemonade.
Colleen randomly selects 2 bottles from the cooler without replacement.
The probability, as a fraction in simplest terms, that Colleen selected a bottle of water and then a bottle of lemonade is
The probability that Colleen selected a bottle of water and then a bottle of lemonade without replacement is 35/138
What is probability and multiplication rule of probability?Probability is the measure of that how likely is an event can occur.
Probability of an event = Favorable outcomes of the event / total outcomes
Multiplication rule of probability states that probability of two events happening at the same time = (probability of one event )*(probability of another event )
Given that A cooler contains 14 bottles of water and 10 bottles of lemonade. Colleen randomly selects 2 bottles from the cooler
Total bottle = 14 +10 = 24
Let E be the event that Colleen selects a bottle of water first
Probability of E = 14/24
Let F be an event that Colleen selects bottle of lemonade when at the same time a bottle of lemonade is already taken out
Probability of F = 10/23
Therefore , The probability that Colleen selected a bottle of water and then a bottle of lemonade without replacement is
= Probability of E * Probability of F = (14/24)*(10/23) =35/138.
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Do the ratios 5:3 and 50:30 form a proportion?
Please help with problem 10
Answer:
A. 0
Step-by-step explanation:
Slope tells you steepness or flatness of your line.
If you know two points on a line find slope by subtracting the y's and put that on top of a fraction. And subtract the x's and put that on the bottom of the fraction.
Subtract y's: 3 - 3
Put it on top: 0/...
Subtract x's: 5 - -4
same as 5+4
Put that on the bottom: 0/9
slope, usually called m, is 0/9, which is 0.
Notice if you graph these two points its a hOrizOntal line. HOrizOntal lines have zerO slope.
Let f(x)=4 x, g(x)=1/2x+7 , and h(x)=-2 x+4 . Perform each function operation. (f⁰g)(x)
The value of the composite function (h⁰ g)(x) calculated by function operation is 2x+28 .
A function is described as the relationship between a set's domain and range and its elements. f, g, or h are frequently used to denote functions.
Each element of an algebraic function, denoted by the formula y=g(x), is connected to a single value of x.
(h ∘ g)(x) can also be expressed as h[g(x)] , which signifies that the value of x=g(x) will be replaced in the function h, is referred to as a composite function.
A composite function is produced by combining two existing functions to produce a third, distinct function.
In h of g of x, the output of one function becomes the input of another.
Given functions are:
f(x)=4 x and g(x)=1/2x+7
Therefore (f ∘ g)(x)=f[g(x)]
=f(1/2x+7)
=4×(1/2x+7)
=2x+28
Therefore the value of the function operation (f⁰ g)(x) is 2x+28
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What is the value of x in the figure shown below?
11 People fit comfortably in a 6 feet by 6 feet area. Use this value to estimate the size of a crowd that is 18 feet by 30 feet
Suppose a student picks 3 points at random from A, B, C, and D shown below. Find the probability that these randomly chosen points are collinear.
B
The probability that 3 randomly selected points from A, B, C, and D are collinear is
(Type an integer or a simplified fraction.)
The probability that 3 randomly selected points from A, B, C, and D are collinear is; 3/4
How to Identify Collinear Points?
Collinear points are the points that lie on the same straight line or in a single line. If two or more than two points lie on a line close to or far from each other, then they are said to be collinear.
Now, from the given image, there are 4 points but only three of them namely A, B and C are collinear. Thus, the 4 possible points picked could be; ABC, ABD, ACD, BCD
Thus, there are only three that can be collinear and so the probability is; 3/4
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Evaluate each expression for the given value of x
4ˣ+1 for x=1
The correct answer for the given expression is 5.
A formula is a statement containing at least two numbers/variables and at least one mathematical operation. An expression is a combination of terms combined by mathematical operations such as subtraction, addition, multiplication, and division. The terms that appear in the formula are:Constant: A constant is a fixed number.Variables: Variables are symbols that do not have fixed values.Term: A term can be a single constant, a single variable, or a combination of variables and constants combined with multiplication or division.Coefficient: A coefficient is a number that is multiplied by a variable in an expression.Given,
evaluate the expression 4ˣ + 1
By putting x= 1,
we get 4¹ + 1
= 4+ 1
= 5
So, the the answer for the question, evaluate 4ˣ + 1 is 5.
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Two cyclists, 30 miles apart, start riding toward each other at the same time. one cycles 2 times as fast as the other. if they meet 2 hours later, what is the speed (in mi/h) of the faster cyclist?
If two cyclists, 30 miles apart, start riding toward each other at the same time. one cycles 2 times as fast as the other. if they meet 2 hours later, The speed (in mi/h) of the faster cyclist is: 5 mph and 10 mph.
SpeedLet r represent the speed of one
Let 2r represent thee speed of the other
Total distance traveled by both the sisters = 30 miles
Time ×rate = Distance
Hence,
2(2r+r) = 30
2(3r)=30
6r=30
r=30/6
r=5 mph
Speed=5 mph and (5 mph×2)
Speed=5 mph and 10 mph
Therefore If two cyclists, 30 miles apart, start riding toward each other at the same time. one cycles 2 times as fast as the other. if they meet 2 hours later, The speed (in mi/h) of the faster cyclist is: 5 mph and 10 mph.
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Need help with this question image attached