The correct answer for the given expression is 99.22.
What is an expression?Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication and division
The expression will be solved as:-
E = [tex]({5 -\dfrac{10}{27}})^3[/tex]
E = [tex](\dfrac{135-10}{27})^3[/tex]
E =[tex]\dfrac{125}{27}^3[/tex]
E = 99.22
Therefore the correct answer for the given expression is 99.22.
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What is the length of the hypotenuse? If necessary, round to the nearest tenth.
Answer:
c = 37 mi
Step-by-step explanation:
Pythagorean theorem:To find 'c' use Pythagorean theorem.
[tex]\sf \boxed{\bf hypotenuse^2 = base^2 + altitude^2}[/tex]
c² = 35² + 12²
=1225 + 144
= 1369
[tex]\sf c = \sqrt{1369}\\\\ c = \sqrt{37*37}\\\\ \boxed{\bf c = 37 \ mi}[/tex]
Write down seven multiplications with an answer of -20
Answer:
-10 x 2
10 x -2
5 x -4
4 x -5
20 x -1
-20 x 1
2 x 2 x -5
Step-by-step explanation:
Answer:
-1 x 20= -20
-20 x 1 = -20
-5 x 4= -20
-4 x 5= -20
-2 x 10= -20
-10 x 2= -20
-2 x 2 x 5 = -20
Step-by-step explanation:
use factors of 20
hope this hepled :)
Select the correct answer.
Which expression is equivalent to √48x5, if x > 0?
OA. 12x³√3x
B. 4x³√3
OC. 4x²√3x
OD. 12x²√
Answer: C
Step-by-step explanation:
[tex]\sqrt{48x^{5}}=\sqrt{16x^{4}} \sqrt{3x}=\boxed{4x^{2}\sqrt{3x}}[/tex]
Complete the flow chart to prove 3 is congruent to 4
The flow chart is complete and the answers are given below.
What is meaning of Congruent Figures ?Those figures that have same shape and size are called Congruent Figures.
The flow diagram will be completed as follows
∠2 ≅ ∠4 ( vertical angle theorem )
∠1 ≅ ∠2 ( Given )
∠1 ≅ ∠ 3 ( Vertical Angle Theorem)
∠3 ≅ ∠4 ( Transitive Property of congruence)
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after 1 year, 80% of the initial amount of a radioactive substance remains. what is the half-life of the substance? half-life is
If a radioactive substance remains 80% of the initial amount then the half life of the radioactive substance is 2.5 years.
Given 80% of the initial amount of a radioactive substance remains.
If after 1 year the value or weight of the radioactive substance remains 80% means the rate of disappearing is 20% per annum.
If we clearly observe then it is forming a geometric progression and the rate is 80%.
Geometric progression will be if we assume the initial quantity be 100
is:
100,80,64,.........
we have to calculate the value of years in the value of term is 0.
the value of nth term of a geometric progression is [tex]ar^{n-1}[/tex]
so,
r is 0.8
100*[tex]0.8^{n-1}[/tex]=0
[tex]0.8^{n-1}[/tex]=0
if we calculate this we will find n-1=11
n=12
So the full life of radioactive substance is 12 and the half life will be 6 years.
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PLS HELP QUICKLY
f(x)= 3x² + 4x - 6
g(x) = 6x³5x² - 2
Find (f+g)(x).
A. (f+g)(x) = -6x³ +8x² + 4x - 4
B. (f+g)(x) = 6x³ - 2x² + 4x-8
c. (f+g)(x) = 6x³ + 3x²-x-8
D. (f+g)(x) = 9x³-x-8
Answer:
(A) 6x³+8x² + 4x - 4, but only if my change is correct to 6x³5x² - 2 is correct.
Step-by-step explanation:
Is "g(x) = 6x³5x² - 2" meant to be g(x) = 6x³-5x² - 2?
If so, (f+g)(x) = 3x² + 4x - 6 - (6x³-5x² - 2)
(f+g)(x) = 3x² + 4x - 6 - 6x³+5x² + 2
(f+g)(x) = 6x³+8x² + 4x - 4
(A)
Is (−1, −1) a solution to the following system of inequalities? Show work to verify algebraically. Then, provide an explanation below.
Explain what the result of your proof tells you about angles a and b. Specifically, if you measured one angle, what would you know about the other? (2 points)
If the measure of one of the angles ∠a or ∠b is known, then the other angle is given by subtracting the known angle from 180°
What are supplementary angles?Two angles whose sum is 180° are called supplementary angles. If a straight line is intersected by a line, then there are two angles form on each of the sides of the considered straight line.
The required two-column proof is presented as follows;
Statement Reason
∠1 and ∠a are linear pair angles Given
∠1 + ∠a = 180° Linear pair ∠s are supplementary
∠2 and ∠b are linear pair angles Given
∠2 + ∠b = 180° Linear pair ∠s are supplementary
∠a and ∠b are consecutive interior ∠s Definition
x║y Given
∠1 and ∠b are corresponding angles Definition
∠1 ≅ ∠b Corr. ∠s formed between║ lines
∠1 = ∠b Definition of congruency
∠a + ∠b = 180° Substitution property
∠a and ∠b are supplementary Definition
We can conclude from the proof that given ∠1 and ∠b are located in corresponding locations relative to the common transversal of the parallel lines, they (∠1 and ∠b) are equal.
Therefore, the sum of ∠a and ∠b is 180°, given that the sum of ∠1 and ∠a is 180° by substitution property of equality. So, ∠a and ∠b are supplementary angles.
Therefore, If the measure of one of the angles ∠a or ∠b is known, then the other angle is given by subtracting the known angle from 180°
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Use a Maclaurin series derived in this section to obtain the Maclaurin series for the given functions. Enter the first 3 non-zero terms only.
f(x) = cos(5x2) =______+...
f(x) = sin(-pix) =______+...
f(x) = xtan-1(5x) =_____+...
f(x) = x2e-x/2 =______+...
Determine if the given statement is sometimes, always, or never true:
Alternate interior angles ______ congruent.
A.always
B.sometimes
C.never
if the area of an isosceles triangle 56 units squared and the base is one third of the height what is the perimeter
The perimeter of the given isosceles triangle is; 725.77 units
How to find the area of a Triangle?We are given;
Area of Isosceles Triangle = 56 units squared
Base of Isosceles Triangle = ¹/₃h where h is height
Formula for area of triangle is;
A = ¹/₂bh
A = ¹/₂ * ¹/₃h * h
A = ¹/₆h²
Thus;
¹/₆h² = 56
h² = 56 * 6
h = √336 = 18.33
Thus, base = ¹/₃√336
Length of hypotenuse = √((√336)² + (¹/₃√336)²)
Length of hypotenuse = √(336 + (336/9))
Length of hypotenuse = 373.33
Thus, Perimeter of Triangle = 2(373.33) + ¹/₃(√336)
Perimeter = 725.77 units
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What IS the slope of a line that is perpendicular to the line y= --x + 5?
• -2
-1/2
1/2
• 2
Let k: y = a₁x + b₁ and l: y = a₂x + b₂. Then
k ║ l ⇔ a₁ = a₂k ⊥ l ⇔ a₁ · a₂ = -1We have the line y = -x + 5 ⇒ a₁ = -1.
Therefore
a₂ · (-1) = -1
-a₂ = -1 Ichange the signs
a₂ = 1In the Fig., if ABCD is a parallelogram, then the value of x is
Answer:
Value of x is 20.
Step-by-step explanation:
The angle opposite to 4x is also 4x.
Similarly, the angle opposite to 5x is also 5x.
So, 4x+4x+5x+5x=360
18x=360
x=360/18
x=20
Please give me brainlist.
The longest side of an isosceles obtuse triangle measures 20 centimeters. The other two side lengths are congruent but unknown.
What is the greatest possible whole-number value of the congruent side lengths?
The unknown side length will be 14 cm if the longest side of an isosceles obtuse triangle measures 20 centimeters option third 14 is correct.
What is the triangle?The triangle can be defined as a three-sided polygon in geometry, and it consists of three vertices and three edges. The sum of all the angles inside the triangle is 180°.
The question is incomplete.
The complete question is:
The longest side of an isosceles obtuse triangle measures 20 centimeters. The other two side lengths are congruent but unknown. What is the greatest possible whole-number value of the congruent side lengths?
9 cm
10 cm
14 cm
15 cm
We have:
The longest side of an isosceles obtuse triangle measures 20 centimeters.
Let's assume the unknown side length is x:
In the isosceles obtuse triangle, two sides are congruent.
As we know the sum of the two sides in a triangle is greater than the third side length:
x + x > 20
2x > 20
x > 10
a² + b² < c²
14 will satisfy the above two inequaility.
Thus, the unknown side length will be 14 cm if the longest side of an isosceles obtuse triangle measures 20 centimeters option third 14 is correct.
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What is the value of cos theta in the diagram below
O 3/5
O3/4
O 4/5
O4/3
The value of cos θ is 3/5.
What is Trigonometry?Trigonometric ratios can be used to determine the ratios of any two sides out of a total of three sides of a right-angled triangle in terms of the respective angles.
Here, given point on circle is (0.6, 0.8) or (3/5 , 4/5)
x - axis (base) = 3/5
y - axis (Perpendicular) = 4/5
Radius (Hypotenuse) = 1
Now, we know
cos θ = Base / Hypotenuse
cos θ = 3/5
Thus, the value of cos θ is 3/5.
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Which phrase best describes the relationship indicated by the scatter plot?
OA constant correlation
B. negative correlation
C. positive correlation
D. no correlation
Phrase D best describes the relationship indicated by the scatter plot. There is no correlation.
What is a scatter plot?In an effort to demonstrate how much one variable is influenced by another, scatter plots are used to depict data points on a horizontal and vertical axis.
When there is no connection between two variables, it is called a zero correlation. For instance, there is no correlation between IQ level and the quantity of tea consumed.
Phrase D best describes the relationship indicated by the scatter plot. There is no correlation.
Hence option D is correct.
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Answer:
no correlation
Step-by-step explanation:
if point (4, 5) is on the graph of a function, which equation must be true?
f(5)=4
f(5,4)=9
f(4)=5
f(5,4)=1
Answer:
f(4) = 5
Step-by-step explanation:
The notation used for a point is (x,y). The first number is the x and the second number is the y.
In function notation, you have f(x) = y.
The input number, x, is in the parenthesis beside the f. The output, y is all by itself on the other side of the equal sign.
For the point (4,5), 4 is the x so it goes by the f. 5 is the y so it goes by itself on the other side of the equal sign.
f(4) = 5
The solution is : f(4) = 5, the equation must be true.
What is equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign. In its simplest form in algebra, the definition of an equation is a mathematical statement that shows that two mathematical expressions are equal.
here, we have,
The notation used for a point is (x,y).
The first number is the x and the second number is the y.
In function notation, you have f(x) = y.
The input number, x, is in the parenthesis beside the f. The output, y is all by itself on the other side of the equal sign.
For the point (4,5), 4 is the x so it goes by the f.
5 is the y so it goes by itself on the other side of the equal sign.
f(4) = 5
Hence, The solution is : f(4) = 5, the equation must be true.
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Use the scatter plot to answer the question. The points in the scatter plot generally increase upward to the right. © 2018 StrongMind. Created using GeoGebra.
Which type of linear correlation is present in the scatter plot?
positive
neutral
negative
strong
The positive linear correlation is present in the scatter plot option first “positive” is correct.
What is the line of best fit?A mathematical notion called the line of the best fit connects points spread throughout a graph. It's a type of linear regression that uses scatter data to figure out the best way to define the dots' relationship.
[tex]\rm m = \dfrac{n\sum xy-\sum x \sum y}{n\sum x^2 - (\sum x)^2}\\[/tex]
[tex]\rm c = \dfrac{\sum y -m \sum x}{n}[/tex]
We have given a scatter plot in the picture.
As we can see in the scatter plot the dots are not so close that the correlation between x and y will be weak.
If we draw a line of best fit the slope of the line will be positive, the correlation will be positive.
Thus, the positive linear correlation is present in the scatter plot option first “positive” is correct.
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A right angle measures 90 degrees
Step-by-step explanation:
yes right angle measure 90 degrees
mark me brainliest
The hollow sphere, in which the circus motorcyclist performs his stunts, has a diameter of 7 m. Find the area available to the motorcyclist for riding.
[tex]\huge\color{red} {\boxed{\tt{A}}} \color{blue} {\boxed{\tt{N}}} \color{hotpink}{\boxed{\tt{S}}} \color{blueviolet}{\boxed{\tt{W}}} \color{fuchsia}{\boxed{\tt{E}}}\color{lavender}{\boxed{\tt{R}}}[/tex]
[tex] \red{ \star} \pmb{Diameter \: of \: the \: sphere = 7 m}[/tex]
[tex] \red{ \star} \pmb{Radius =\frac{7}{2} = 3.5 m}[/tex]
[tex] \pink{\underline{ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: }}[/tex]
[tex] \sf{Area \: available \: to \: motorcyclist \: for \: riding = Area \: of \: sphere}[/tex]
[tex] \: \: \: \: \: \: \: \: \: \: \: \: \: \: \sf{= 4πr^2}[/tex]
[tex] \: \: \: \: \: \: \: \: \: \: \: \: \: \: \sf{= 4*\frac{22}{7}*3.5*3.5}[/tex]
[tex] \: \: \: \: \: \: \: \: \: \: \: \: \: \: \sf{= 154}[/tex]
The area available to the motorcyclist for riding is 154 m²
Diameter of the sphere = 7m
[tex]{Radius =\frac{7}{2} = 3.5 m}[/tex]
Area available to motorcyclist for riding = Area of sphere
[tex]{= 4πr^2} \\ \\ {= 4*\frac{22}{7}*3.5*3.5} \\ \\ {= 154}.[/tex]
The area available to the motorcyclist for riding is 154 m²
to collect data about the amont of time spent
Answer:
Probably the first one because the other two questions would be un-reliable
Step-by-step explanation:
Given: AC and BD are parallel. BX and CY are parallel. AX = DY.
Prove: AYC is congruent to DXB
A triangle is a three-edged polygon with three vertices. It is a fundamental form in geometry. Using the ASA congruency the triangles are congruent.
What is a triangle?A triangle is a three-edged polygon with three vertices. It is a fundamental form in geometry. The sum of all the angles of a triangle is always equal to 180°.
For the two of the given triangles ΔACY and ΔDXB,
∠A = ∠D {Alternate Interior Angles}∠DXB = ∠ACY {Alternate Interior Angles}AY = YD ⇒ (AX + XY) = (DY + XY) {Given AX=DY}Since the measure of the two angles and one side of the two triangles are equal, therefore, using the ASA congruency the triangles are congruent.
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Split 120 into the ratio
2:3
Answer:
48 : 72
Step-by-step explanation:
1. Due Now: Brittany's Builders has 20 leftover bricks. Some are red and some are white. For
each white brick, Brittany has 3 red bricks. How many of the bricks are red and how
many are white?
88
Not sure how to explain
its 5 white and 15 red
Please help me asap 5/11
By applying concepts related to matrices and their dimensions, the element of the matrix that belongs to the 2nd row and 3rd column is 6.
How to determine the content associated to the index of a matrix
Matrices are constructions studied by linear algebra, are a particular case of tensors. This kind of constructions are characterized by two dimensions: (i) Number of rows - Horizontal rows, (ii) Number of columns - Vertical rows.
Each element of an matrix A has an associated index with the following form:
[tex]a_{i,j}[/tex]
Whose meaning is "element of the matrix A that belongs to the i-th row and j-th column".
In this case, we find that the element of the matrix that belongs to the 2nd row and 3rd column is 6.
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© On Wednesday, Simran walked from home to the train station.
On Thursday, Simran took the bus from home to the train station.
The distance-time graphs show Simran's journey on Wednesday and Thursday.
How many minutes less was her total journey time on Thursday than on Wednesday? Need answer ASAP!
Simran's Journey was 35 minutes less on Thursday as compared to Wednesday
What is a Distance - Time Graph ?Distance Time graph is the relationship between the distance travelled in the respective time on the x axis.
Two distance time graph is given
The Wednesday graph shows the time taken by Simran is
Total Time = 40 minutes
and
The Thursday graph shows the time taken by Simran is
Total Time = 5 minutes
Therefore Simran's Journey was 40-5 , 35 minutes less on Thursday as compared to Wednesday
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If x+y=4 and x-y=k, what does x equal?
If x+y-z=8 and x-y+z=12 then x=
If x=3b and y=2/6b+4, what is x in terms of y?
The values of x are (4+k)/2 and 10. The value of the variable x in terms of y is x = y -4
System of equationsThese are equations that contains several equations and unknowns.
Given the following system of equation
x+y=4
x-y=k
Add both equation
x + x = 4 + k
2x = 4+k
x = (4+k)/2
For the equation
x+y-z=8
x-y+z=12
Add both equations
2x = 8 + 12
2x = 20
x = 10
The value of x from the equation is 10
Given the equations
x=3b
y = 2/6b+4,
______________
b = x/3
Substitute
y = 2/6(x/3)+4
y = x + 4
x = y - 4
Hence the value of the variable x in terms of y is x = y -4
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What is the volume in cubic inches of the cylinder, rounded to the nearest cubic inch? Do not use units or commas in your answer.
Answer: You didn't give any data about the cylinder
Step-by-step explanation:
The cylinder is just an extruded circle. To calculate the cylinder's volume you need to multiply its base circle by the cylinder's height.
To do that, get the circle's radius and square it. Multiply the squared radius by 3.14.
After that, multiply the result by the cylinder's height
what is the product of (3a^2b^7)(5a^3b^8)
Answer:
when multiply with exponents you add so
(3a^2b^7)(5a^3b^8)=15a^5b^13
Hope This Helps!!!
f(x) = 2x2 + 3x + 5,
Answer:
...
Step-by-step explanation:
