The value of b is b=p-a.
Given the equation is p=a+b.
A pair of inverse operations is defined as two operations to be performed on a number or. variable, always returns the original number or variable And inverse means opposite.
equation means a mathematical statement with the symbol "equal" between two expressions of equal value. This is represented by '='.
The given equation is p=a+b.
Now, we will apply the inverse operations on both sides.
Subtract a from both sides, we get
p-a=a+b-a
Now, we will simplify the above equation, we get
p-a=b
Hence, the value of b from the given equation p=a+b is b=p-a.
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The sum of a and 10 is twice as large as b, where both a and b are integers. If the sum of a and b is divisible by 4, which of the following CANNOT be the value of b?
A) 6
B) 8
C) 10
D) 14
The speed of an average garden snail is estimated to be 8.056 x 10 miles per second. Write the speed in standard fo miles per second
The speed written in standard form is 0.000008056 miles per second.
How to write the speed in standard miles per second?
Here we know that the average speed of a garden snail is:
8.056 x 10⁻⁶ miles per second.
Notice that it is written in scientific notation and we want to write this in standard form, so we just need to expand the product.
Notice that the exponent is -6, this means that we need to "move" the decimal point 6 times to the left, so we will get:
S = 8.056 x 10⁻⁶ miles per second.
S = 0.000008056 miles per second.
That is the speed written in standard form.
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State whether the sentence is true or false. If false, replace the underlined term to make a true sentence.
Geometric probability involves a geometric measure such as length or area.
True, Geometric probability involves a geometric measure such as length or area.
In statistics, what does a probability mean?
The probability serves as a gauge for how likely an event is to occur. It gauges how likely an event is. P(E) = Number of Favorable Outcomes/Number of Total Outcomes is the formula for probability.Mathematics' study of random events is known as probability, and there are four primary types of probability: axiomatic, classical, empirical, and subjective. Since probability is the same as possibility, you could say that it is the likelihood that a specific event will occur.True, Geometric probability involves a geometric measure such as length or area.
Also, genuineness of the second statement does not give any information whether the first statement is true or not.
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Which digit is in the hundred-thousands place in the
(12) number 987,654,32
6 millimeters into miles
I WILL MARK BRAINLIST!!!! PLEASE HELP ITS A MATH QUESTION IM NOT SURE IF ITS OPTION A ?
THANK YOU SO MUCH !!! thankful for the help!
Answer:
44 °
Step-by-step explanation:
In a right triangle such as this
sin B = opposite leg / hypotenuse
sin B = 20 / 29
B = arcsin (20/29) = 44 degrees
Solve for x 2(5 − 10x) + 8x = −19x + 52
Answer:
x= 6
Step-by-step explanation:
10-20x+8x = -19x + 52
10 -12x= -19x +52
10 - 12x +19x =-19x +19x +52
10 + 7x= +52
10 -10 +7x= 52-10
+7x=42
7x= 42/7
x= 6
2(5- 10(6))+8(6)=-19(6)+52
2(5-60)+48=-114+52
10-120+48=-114+52
-110+48=-114+52
-62=-62✅
Jacob rides his bike up a large hill. If he is moving at 15 mph at the bottom and slows to 3 mph 2.75 minutes later when he gets to the top, what is the acceleration?
Please show work! Also please answer quick, I have other work to do. Thank you!
The acceleration when he gets to the top is -0.0325 m/s²
Calculating accelerationFrom the question, we are to determine the acceleration when Jacob gets to the top
Using one of the equations of motion, we have that
v = u + at
Where v is the final velocity
u is the initial velocity
a is the acceleration
and t is the time
From the given information,
u = 15 mph = 6.7 m/s
v = 3 mph = 1.34 m/s
t = 2.75 minutes = 165 seconds
Then,
1.34 = 6.7 + a×165
1.34 - 6.7 = 165a
-5.36 = 165a
a = -5.36/165
a = -0.0325 m/s²
NOTE: Negative sign indicates deceleration
Hence, the acceleration when he gets to the top is -0.0325 m/s².
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(-5,-1)(-4,-2)(-2,-2)(-10,-1) Translate the trapezoid 3 units down. Then reflect on the x-axis.
Answer:
(-5, 4)
(-4, 5)
(-2, 5)
(-10, 4)
Step-by-step explanation:
Given points:
(-5, -1)(-4, -2)(-2, -2)(-10, -1)To translate a point 3 units down, subtract 3 from its y-coordinate.
To reflect a point across the x-axis, the y-coordinate becomes its additive inverse.
Therefore, the mapping rule is:
[tex](x,y) \rightarrow (x, -(y-3))[/tex]
Translated points:
(-5, -1) → (-5, -(-1-3)) = (-5, 4)(-4, -2) → (-4, -(-2-3)) = (-4, 5)(-2, -2) → (-2, -(-2-3)) = (-2, 5)(-10, -1) → (-10, -(-1-3)) = (-10, 4)Learn more about translations here:
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Show work please and please help
Bounce 2 is 2
Bounce 4 is 1/2
Bounce 5 is 1/4
Bounce 6 is 1/8
all of your equivalent heights are correct.
What are the solutions of the following systems? Explain.
a. -x + y= -2 2x - 2y = 0
The system of equations, -x + y = -2 and 2x - 2y = 0, has no solution.
A system of linear equations is a set of two or more equations which includes common variables. To solve system of equations, we must find the value of the unknown variables used in the equations that must satisfy both equations.
Given two equations in x and y,
-x + y = -2 (equation 1)
2x - 2y = 0 (equation 2)
Rewrite equation 1 as an equation of y and substitute to equation 2.
(equation 1) -x + y = -2 ⇒ y = x - 2
2x - 2y = 0 (equation 2)
2x - 2(x - 2) = 0
2x - 2x + 4 = 0
4 = 0
Since we do not have a definite value for x, and neither will be for y, the system of equation has no solution.
Checking the slope,
(equation 1) -x + y = -2 ⇒ y = x - 2
m = 1
(equation 2) 2x - 2y = 0 ⇒ y = x
m = 1
Since the two equations has the same slopes but different y-intercepts, then these two equations must be parallel with each other.
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Determine whether Δ T J D ≅ΔS E K given T(-4,-2) , J(0,5), D(1,-1), S(-1,3), E(3,10) , and K(4,4) Explain.
By SSS (Side, side, side) congruency;
⇒ Δ T J D ≅ ΔS E K
Given that;
The vertices of ΔT J D are;
T (-4, -2) , J (0, 5), and D (1, -1),
The vertices of ΔS E K are;
S (-1, 3), E (3, 10) , and K (4, 4)
We have to prove that Δ T J D ≅ΔS E K.
What is congruency in triangle?
If all three corresponding sides are equal and all the three corresponding angles are equal in measure, then Two triangles are said to be congruent.
Now,
The vertices of ΔT J D are;
T (-4, -2) , J (0, 5), and D (1, -1),
The vertices of ΔS E K are;
S (-1, 3), E (3, 10) , and K (4, 4)
To prove Δ T J D ≅ΔS E K we use distance formula and prove all sides are equal.
In ΔT J D;
Distance between T and J;
[tex]D_{TJ} = \sqrt{(0-(-4))^2 + (5 -(-2))^2} = \sqrt{65}[/tex]
Distance between J and D;
[tex]D_{JD} = \sqrt{(1-0)^2 + (-1 -5)^2} = \sqrt{37}[/tex]
Distance between D and T;
[tex]D_{DT} = \sqrt{(1-(-4))^2 + (-1 -(-2))^2} = \sqrt{26}[/tex]
In ΔS E K;
Distance between S and E;
[tex]D_{SE} = \sqrt{(3-(-1))^2 + (10-3)^2} = \sqrt{65}[/tex]
Distance between E and K;
[tex]D_{EK} = \sqrt{(4-3)^2 + (4 -10)^2} = \sqrt{37}[/tex]
Distance between K and S;
[tex]D_{KS} = \sqrt{(4-(-1))^2 + (4 -3)^2} = \sqrt{26}[/tex]Clearly, Distance between sides of Δ T J D and ΔS E K are equal as;
[tex]D_{SE} = D_{TJ} \\\\D_{EK} = D_{JD}\\\\D_{KS} = D_{DT}[/tex]
Hence, By SSS congruency;
⇒ Δ T J D ≅ ΔS E K
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Solve each inequality and describe the steps
|1.3x + 7.8| > 0
The value of the inequality is x > 6
What are inequalities?Inequalities are defined as mathematical relations that makes a non-equal comparison between two numbers , elements or expressions.
They are also used to compare two numbers on the number line by their size.
It is an order relationship showing —greater than, greater than or equal to, less than, or less than or equal to
Given the expression;
|1.3x + 7.8| > 0
collect like terms
1. 3x > 0 + 7. 8
1.3x > 7. 8
Make 'x' the subject
Divide both sides by 1. 3
1. x/ 1. 3 > 7. 8/ 1. 3
x > 6
Thus, the value of the inequality is x > 6
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Approximate 14 plus cube root of 81 to the nearest tenth.
15.8
17.9
18.0
18.3
The nearest tenth value of the given expression is a 18.3. the option D is a correct option.
According to the statement
We have to find that the value of the tenth digit.
So, For this purpose, we know that the
Tenth digit is the first digit to the right of the decimal point; one out of 10 equal parts of a whole.
From the given information:
14 plus cube root of 81 to the nearest tenth.
Then
the statement become is
[tex]14+(81)^\frac{1}{3}[/tex]
Firstly we have to find the cube root of the number 8 and then have to add 14 number in the out coming answer.
Then
14+ Cube root of 81
Then
14+ 4.32
Then after adding it
18.32
In the nearest tenth value it will become 18.3.
So, The nearest tenth value of the given expression is a 18.3. the option D is a correct option.
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At a store a carton of eggs costs $2.25 and a package of bacon costs $4.25. At another store eggs cost $2.75 and bacon costs $4.00. If you were to buy one carton of eggs, how many packages of bacon would you have to buy for both stores to cost the same?
2 packages of bacon would have to buy for both stores to cost the same.
Given that,
At a store, a carton of eggs costs $2.25 and a package of bacon costs $4.25. At another store, eggs cost $2.75, and bacon costs $4.00. If you were to buy one carton of eggs, how many packages of bacon would you have to buy for both stores to cost the same is to be determined.
In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,
Here,
According to question
WIth the help of arithmetic operators
2.25 + 4.25y = 2.75 + 4.00y
0.25y = 0.50
y = 2
Thus, 2 packages of bacon would have to buy for both stores to cost the same.
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Perform the indicated operation.
2 3/8 x 5 3/4
Answer:
1st convert mixed numbers
19/18 x 23/4
2nd multiply fractions
437/32
Answer: 437/32
Find the measures of numbered angle.
b. ∠3
Measure of angle 3 i.e. m∠3 = 130°
What is measurement of an angle ?The measurement of angle is the degree of that angle or we can also say that the angles are always measured in degree. In geometry, the complete one revolution of four quadrants is of 360 degrees (360°) and divided into total of 360 parts where each part of this represents a degree.
How to find angle measurement ?As stated above there are total 360 parts in one revolution thus thus we can find value of particular angle by subtracting the angle from 360 or 180 for a straight line.
In the question,
Let given angle is ∠8.
Given, ∠8 = 50°
Now, according to supplementary angle property
∠8 + ∠6 = 180
50° + ∠6 = 180
∠6 = 130°
As, ∠6 and ∠2 are corresponding angles,
therefore, ∠6 = ∠2 = 130°
Also, ∠2 and ∠3 are vertical opposite angles,
thus, ∠2 = ∠3 = 130°
therefore, ∠3 = 130°
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The complete question is :
Find measures of numbered angle.
a. ∠2
b. ∠3
c. ∠4
Find each product or quotient.
-2.1 . (-3.5)
The product of -2.1. (-3.5) is 7.35
The product of (-2.1 ) and (-3.5) = [tex]-2.1\times-3.5[/tex]
= 7.35
So, the product of (-2.1) and (-3.5) is 7.35.
What is the quotient?The quotient is the number which is produced when we perform division operations on two numbers. Fundamentally, it is the result of the division method. There are four primary wordings utilized within the arithmetic division such as divisor, dividend, quotient and remainder.
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Rachel lives in state without income tax. Each month, she pays $307 in federal income tax
and $206 in other taxes. Her pay after taxes is $2,040. What are Rachel's monthly earnings?
Step-by-step explanation:
u simply add 307 and 206 to 2,040 giving u 2553
Find the sum of each finite arithmetic series. 1+4+7+ . . . . . .+31
The sum of finite arithmetic series 1+4+7+ . . . . . .+31 is S(11) = 176
The given arithmetic series is:
1+4+7+ . . . . . .+31
From the above series, we know that:
The first term, a(1) = 1
The last term, a(n) = 31
The common difference, d = 4 - 1 = 3
Recall the formula to find the nth term of an arithmetic sequence:
a(n) = a(1) + (n-1) . d
Substitute a(1) = 1, a(n) = 31, and d = 3:
31 = 1 + (n-1) . 3
31 = 3n - 2
3n = 33
n = 11
In an arithmetic series, the sum of the first n terms is given by:
S(n) = n/2 [ a(1) + a(n) ]
Substitute n = 11, a(1) = 1, and a(n) = 31:
S(n) = 11/2 (1 + 31)
S(11) = 11. 16 = 176
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What’s the inverse??
Answer: The inverse is b.
Step-by-step explanation:
Show your work given the rule of (x,y)—->(x-7.5,y+6.8)
Original coordinate (5,3)
Show your work given the rule of (x, y)—->(x-7.5,y+6.8)
Original coordinate (5,3)
The output coordinate is if the input coordinate is (5,3) is (-2.5,9.8).
Given that,
(x, y)—->(x-7.5,y+6.8)
Given original coordinate are (5,3).
We substitute the original coordinate in the given point (x, y).
A location on a grid, also known as a coordinate plane, is identified by coordinates, a pair of numbers (also known as Cartesian coordinates), or sometimes a letter and a number. The two axes that make up a coordinate plane are the horizontal x axis and the vertical y axis (vertical).
Put x=5 and y=3 in (x, y)
We get
[tex]=(5-7.5, 3+6.8)\\=(-2.5, 9.8)\\[/tex]
Therefore, The output coordinate is if the input coordinate (5,3) is (-2.5,9.8).
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Type the correct answer in the box.
The formula for the volume, V, of a cone having the radius, r, and the height, h, is shown below.
V = ²h
Write the formula to calculate the height, h.
(0) 101
√O
h =
Vo 4
+
X
11
v
V
IV
TL
α β εθ
λμ ρ
8
sin cos tan sin costan.
csc sec cot log log In
||
0
I
to m
N2
The formula for calculating the Hight of the cone as follows h = 3(V/(πr²))
Is a cone's volume one-third that of a cylinder?Thus, the volume of a cone is one-third that of a cylinder with the same base radius and height.
Is a cone three times the size of a cylinder?Cone and cylinder volumes are related in exactly the same manner as pyramid and prism volumes are related. If the heights of a cone and then a cylinder are the same, the volume of the cylinder equals three times that of the cone.
According to the given data:The volume, V, formula of a cone with radius, r, and height, h.
The volume of the cone using the formula:
V = 1/2πr²h
h = 3(V/(πr²))
The formula for calculating the Hight of the cone as follows h = 3(V/(πr²)).
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What is 0.00000008 in scientific notation?
OA) 8×10-⁹
O B) 8×10¯³
OC) 8×10^7
OD) 8×10^6
8 × 10⁻⁷ is 0.00000008 in scientific notation .
What does a scientific symbol mean?
A frequently used floating-point system where values are expressed as the product of a number between 1 and 10 with the appropriate power of 10 (for example, 1.591 1020).
Example: 700. Why is 700 written as 7 × 102 in Scientific Notation
Example: 4,900,000,000. 1,000,000,000 = 109
Example: 0.0055 is written 5.5 × 10-3
Example: 3.2 is written 3.2 × 100
Why is it employed in scientific notation?
The main benefit of scientific notation is that it enables us to scale down extremely large or extremely small numbers into sizes that are much easier to handle. These numbers are significantly simpler to work with when they are written in scientific notation.scientific notation of 0.00000008 = 8 × 10⁻⁷
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Find the product of (1 3/4-2.4).[0.5.(2/5 plus 2.6)
The product of (1 3/4-2.4).[0.5.(2/5 plus 2.6) is 2.75.
How to calculate the product?It should be noted that we are to find the product of (1 3/4-2.4).[0.5.(2/5 plus 2.6).
This will be:
= (1 3/4-2.4).[0.5.(2/5 plus 2.6)
= (1.75 - 0.5) × [0.5(0.4 + 2.6)]
= 1.25 × 0.5(3)
= 1.25 + 1.5
= 2.75
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Find the mean of the data set: 9, 4, 7, 3, 10, 9
Answer: 7
Step-by-step explanation: You can find the mean, or average, of a data set in two simple steps: Find the sum of the values by adding them all up. Divide the sum by the number of values in the data set.
A box of packaged snacks contains 6 individual bags and costs $5.40. Each individual bag contains 18 crackers. What is the cost per cracker?
Answer:
$0.05
Step-by-step explanation:
First, find the total amount of crackers and the total cost.
Crackers: 6*18=108 crackers
$5.40/108=0.05
$0.05
A quadratic function is shown on the graph.
a downward opening parabola beginning with open circle at negative 3 comma negative 7 increasing to a vertex at 0 comma 2 and then decreasing to a closed circle at 2 comma negative 2
What is the range of the function?
{y | −7 < y ≤ 2}
{y | −7 ≤ y ≤ 2}
{x | −3 ≤ x ≤ 2}
{x | −3 < x ≤ 2}
The range of the quadratic function represented with the given parameters is {y | −7 < y ≤ 2}
What is the range of a function?The range of a function is the set of output values of the graph. This in other words mean the range of a function is the set of y values of the graph.
What are quadratic equations?Quadratic equations are second-order polynomial equations and they have the form y = ax^2 + bx + c or y = a(x - h)^2 + k
How to determine the range of the function?From the question, we have the following parameters:
The parabola opens downwardVertex = (0, 2)Open circle points = (-3, -7) and (2, -2)Write out the vertex
So, we have
Vertex = (0, 2)
Remove the x value
y = 2
From the question, we have
The parabola opens downward
This means that the vertex is a maximum
So, the range is
y ≤ 2
Rewrite properly as
{y | −7 < y ≤ 2}
Hence, the range of the quadratic function is {y | −7 < y ≤ 2}
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Answer:
Answer is A :)
Step-by-step explanation:
let f (x) = 5x - 6. write a function g whose graph is a horizontal shrink of the graph of f by a factor of 1/4
The function g(x) whose graph is the horizontal shrink of the given graph of f(x) =5x-6 by a factor (horizontal shrink factor) of 1/4 is g(x)=5/4 x-6.
As per the question statement, we are supposed to find a function g(x) whose graph is a horizontal shrink of the given graph of f(x) =5x-6 by a factor of 1/4.
Before solving it lets assume f(x)=y
so y =5x-6
Comparing with y= mx+c where m is the slope
so in y =5x-6 slope is m=5
For applying horizontal shrink by a factor of 1/4 we need to multiply the slope by a factor of 1/4
so new slope [tex]m_{1} =5*\frac{1}{4} =\frac{5}{4}[/tex]
Therefore [tex]g(x) = \frac{5}{4} x -6[/tex]
Therefore the function [tex]g(x)[/tex] whose graph is a horizontal shrink of the given graph of [tex]f(x) = 5x-6[/tex] by a horizontal shrink factor of 1/4 is [tex]g(x) = \frac{5}{4} x -6[/tex]
Horizontal Shrink : The point (x, y) on the graph of f(x) is changed to the point (x/k, y) on the graph of g when the graph is stretched or contracted horizontally by a factor of 1/k (x).To learn more about such questions, click on the link given below:
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Select the words that best describe the given
equation y=x²-1
The x-value squared is 1 less than the y-value.
The x-value minus 1 is the square of the y-value.
The y-value is 1 less than the square of the x-value.
The y-value is 1 minus the square of the x-value.
Answer:
The y-value is 1 less than the square of the x-value,
Step-by-step explanation:
if we follow the letters and convert them into numbers we will get:
y-value=y
1 less than=-1
square of x value=x^2
so
we put the number in order according to the words:
y value=1 less than the square of x
so
y=x^2-1
hope this helps!
