Answer:
comparing (x+2) with (x-a) we get a=-2
Using factor theorem
p(x)=0
p(-2)=0
(-2)⁴-(-2)³+c×(-2)²+3×-2-2=0
-16+8+4c+12=0
4+4c=0
4c=-4
c=-4/4
c=-1
5. In the circle, arc AD = 79, and
Answer:34
Step-by-step explanation:
ad divided by 79=34
Estimate a 15% tip on a dinner bill of $39.62 by first rounding the bill amount to the nearest ten dollars.
Answer:50.00
Step-by-step explanation:
First you need to find what 15% of 39.62 is 5.94 or 6 so you would add 6 to 39.62 and get 34.62 then you round it all and get 35 and it is closer to 50 than 40.
Is an example of distributive law *?.
Yes, 3 * ( 5 - 2 ) = ( 3 * 5 ) - ( 3 * 2 ) is an example of distributive law.
The distributive property is also known as the distributive law of multiplication over addition and subtraction. The name itself implies that the operation involves dividing or distributing something. The distributive law applies to addition and subtraction. The formula for the distributive property is expressed as:
Over addition : a( b + c ) = ab + ac
and subtraction : a( b - c) = ab - ac
Example: Solve the expression 7(20 + 3)
Multiplication of 7(20) and 7(3) is done before addition. This leads to 7(20) + 7(3) = 140 + 21 = 161.We have, an expression 3×(5 - 2) =(3 × 5 ) - (3× 2 ).
Consider the left hand side, 3×(5 - 2)
=> 3× 5 - 3× 2 = 15 - 6 = 9
Now, the right hand side, (3 × 5 ) - (3× 2 ) => 15 - 6 = 9 = LHS
Hence, it is an example of distributive law.
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Complete question:
Is 3 * ( 5 - 2 ) = ( 3 * 5 ) - ( 3 * 2 ) an example of distributive law *?.
The question is in the photo for you to answer.
Answer:
Answer in attached photo.
Step-by-step explanation:
SolutionSteps are in the attached photo, this question is testing on the concept of Similar Triangles.
Formula:
[tex]\frac{Shorter \ Length \ of \ line \ segment \ A}{Longer \ Length \ of \ line \ segment \ A} = \frac{Shorter \ Length \ of \ line \ segment \ B}{Longer \ Length \ of \ line \ segment \ B}[/tex]
What is a 1/10 gradient?.
The 1/10 gradient means 6 degrees is the angle of 1 in 10 slopes.
The gradient is the inclination of a line. The gradient is often referred to as the slope (m) of the line. The gradient or slope of a line inclined at an angle θ is equal to the tangent of the angle θ.
In geometry, 1 in 10 means for every ten units of horizontal distance crosses there is 1 unit of vertical drop or rise. The angle of tan is used to measure this value of the slope. Let x be the angle to be used for tan.
[tex]tanx=\frac{horixontal distance}{vertical distance}[/tex]
[tex]tanx= \frac{1}{10}=0.1[/tex]
[tex]x=tan^{-1}(0.1)\\x=5.71'[/tex]
By rounding to the nearest digit, the degree value will be 6.
Hence, 6 degrees is the angle of 1 in 10 slopes.
Hence, the 1/10 gradient means 6 degrees is the angle of 1 in 10 slopes.
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2(3b+6) =78 : Answer is 11
-2(6c-3) = -72 : Answer is 6.5
Check Right Side of both equations
Answer: The right side of the first equation is 78, and the right side of the second equation is -72. Both equations are correct.
In the first equation, 2(3b+6) = 78, if we solve for b we get b= 11.
In the second equation, -2(6c-3) = -72, if we solve for c we get c = 6.5.
Step-by-step explanation:
factorise
3x^2+22x+7
Answer:
(3x + 1)(x + 7)
Step-by-step explanation:
3x² + 22x + 7 =
3x² must factor into 3x and x.
= (3x + )(x + )
7 factors into 7 and 1. We can place 7 and 1, or 1 and 7.
= (3x + 7)(x + 1)
or
= (3x + 1)(x + 7)
Now we multiply both possibilities out to see which one produces the middle term 22x that we need.
= (3x + 7)(x + 1) = 3x² + 10x + 7 No what we need
or
= (3x + 1)(x + 7) = 3x² + 2x + 7 Exactly what we need
Answer: (3x + 1)(x + 7)
please help me i dont know this
When the coin is tossed and then dice is rolled, the possible outcomes are 12.
Define the term sample space/possible outcome?All potential results make up as sample space of such a random experiment.A subset of such sample space is an event connected to a random experiment.Any outcome's probability is a value between 0 and 1. The sum of all the outcomes' probabilities is one.The total likelihood of all outcomes in an event A is the probability of that event.For the stated question.
Sample space for tossing coin. { H, T}.
Sample space for rolling dice. { 1, 2, 3, 4, 5, 6 }
Then,
Total sample = { H1, H2, H3,H4, H5, H6, T1, T2, T3, T4, T5, T6}
Thus, the total possible outcomes for tossing coin and rolling dice is 12.
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The model is 3.1 feet tall. The actual building is 41.65 feet tall. This means that each foot in Matt’s scale model represents how many actual feet for the building?
Answer:
13.43
Step-by-step explanation:
Can a graphing calculator be used as a scientific calculator?.
Yes , the graphing calculator can be used as a scientific calculator.
As given in the question,
Scientific calculator can not be used as a graphing calculator.
But graphing calculator can be used as a scientific calculator.
Calculators help us to make our calculation easy and save time.Scientific calculator help us to do the calculation of mathematics based on algebra and Engineering mathematics.Scientific calculator also help us to do statistics calculation.Graphing calculator have all the functions of scientific calculator with more addition of plotting coordinates of the given graph function.Therefore, yes the graphing calculator can be used in place of scientific calculator.
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Are 1 3 and 2 7 equivalent fractions?.
No, 1/3 and 2/7 are not the equivalent fractions.
In mathematics, equivalent fractions are those with the same denominator and differing numerators. For instance, because 2/4 and 3/6 are both equal to 1, they are both comparable fractions. Part of a whole is a fraction. Identical portions of the whole are represented by equivalent fractions.
Every fraction has an equivalent fraction, which can be found by multiplying the numerator and denominator by the same integer. In spite of their visual differences, equivalent fractions are those that indicate the same value. For instance, if you take a piece of cake, divide it into two equal pieces, then eat one of them, you will have consumed half of the cake.
let us consider,
1/3 = 2/7
0.33 = 0.29
so, it is not equals.
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Correct Question:
Are 1/3 and 2/7 equivalent fractions?.
Write each calculation as a single power. 8 to the power of 5 Multiply by 8 to the power of 4 REMEMBER TO WRITE THE ANSWER AS A SINGLE POWER PLS HELP
Answer:
[tex]8^{9}[/tex]
Step-by-step explanation:
[tex]8^{5}[/tex] x [tex]8^{4}[/tex]
In expanded form this would be
8·8·8·8·8·8·8·8·8
The product of power principle tells us that when we are multiplying powers with the same bases, we add the exponents.
One rule of thumb for estimating crowds is that each person occupies 360 square inchesUse this rule to estimate the crowd size of a section that is 20 feet deep by 20 feet wide of a parade route. HINTthere are 12 inches in one foot
Therefore , the solution of the given problem of surface area comes out to be 160 peoples can be fit in that region.
Surface area is definedIts surface area is a good indicator of how much space it takes up overall. When estimating the surface area of a three-dimensional shape, the entire environment is taken into consideration. Its surface area determines how big something is overall. The sum of the faces on any and all six of a cuboid's rectangular sides yields the amount of water contained within.
Here,
Given : one person occupies 360 square inches
is 2.5 square foot.
So,
The given dimension of region are :
length = 20 feet and width 20 feet.
Thus,
=> Area = 20*20
=> Area = 400 square foot.
So , number of people in that area will be :
=> 400/2.5
=> 160 peoples.
Therefore , the solution of the given problem of surface area comes out to be 160 peoples can be fit in that region.
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Solve for x.
z = 6 π x y
This is to help others and myself who are stuck here!
Reward: Brainiest
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
What is 1 more than 99?.
The Number which is more than 99 is 100.
Number:
Numbers are mathematical objects used for counting, measuring, and labeling. The original example is the natural numbers 1, 2, 3, 4, etc. [1] Numbers can be linguistically represented by numerals. More generally, individual numbers can be represented by symbols called digits. For example, "5" is the number representing the number five. Since only a relatively small number of symbols can be remembered, basic numbers are usually organized into number systems, which are systematic ways of representing each number. The most common number system is the Hindu-Arabic number system, which can represent any number using combinations of 10 basic numeral symbols called digits.
Greater than Number:
Greater than or equal to in mathematics is an inequality used to compare two or more numbers, quantities, or values. Used when one quantity or number is greater than or greater than the second or remaining quantity or number. This indicates that one value is greater than or greater than or greater than the other. The above symbol is ">". This is also called greater than. For example, Bella has a red pencil that is 5 cm long and a blue pencil that is 3 cm long.
According to the Question:
1 more than 99 is:
adding 1 +99 = 100.
Therefore,
1 more than 99 is 100.
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x² × 7x²- x² × 5x - x² × 5 + 9 × 7x² - 9×5x - 9×5
You have to distribute it. To do this, multiply x^2 to (7x^2-5x-5) and do the same to 9 times (7x^2-5x-5). Add like variables. The attached image is your answer.
I hope this was able to help you :D
The measure of an angle is 166.7°. What is the measure of its supplementary angle?
i need help plsss
An angle has a length of 166.7°. The extra degree at 166.7 is 13.3
How Do I Find Additional Angles?We are aware that two angles are supplementary if their sum is 180 degrees. It is claimed that each angle is a supplement to another angle. In order to obtain an angle's complement, we can subtract an angle from 180 degrees. A typical circumstance is when they are on the same side of a straight line.In geometry, two angles are referred to as supplementary angles if their sum is 180 degrees. For instance, if A + B = 180°, then A and B are considered supplementary angles.Complementary angles always result in a straight angle when combined (180 degrees).Given,
The measure of an angle is 166.7°.
The supplement of 166.7 degrees is 180 - 166.7 = 13.3
Therefore the answer is 13.3°
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What is the product of 2x2x2?.
The product of 2x2x2 is 8.
A product is the outcome of multiplication in mathematics, or an expression that specifies the factors (numbers or variables) to be multiplied. For instance, the sum of 6 and 5 is 30. (the result of multiplication).
So 2x2x2 = 4x2= 8
Integers, natural numbers, fractions, real numbers, complex numbers, and quaternions are examples of typical special instances where it is possible to define the product of two numbers or the multiplication of two numbers.
In linear algebra, there are numerous different types of products. Some of them have names that sound confusingly close but have very distinct meanings (outside product, external product), while others have names that sound completely different but basically imply the same thing (outer product, tensor product, Kronecker product). These are briefly discussed in the sections that follow.
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PLSSS HELP IF YOU TURLY KNOW THISSSS
The next operation that should be done when evaluating this expression is -12
Which are the 6 steps of order of operation?The rules that specify the order in which we should perform several operations to solve an expression are known as the order of operations. Parentheses, Exponents, Multiplication, Division (from left to right), Addition, and Subtraction are the sequence in which the operations are performed (from left to right).
The next operation that should be done when evaluating this expression is
9-12+6/-3+3(-3)
Addition or Subtraction (from left to right)
9-12=-5
Multiplication or Division (from left to right)
6 /-3 = -2
-5 + -2+3(-3) = -12
The next operation that should be done when evaluating this expression is -12
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How do you find the first term?.
To find the first term can be calculated an = a1 + d(n - 1).
The difference between every two successive terms in a sequence is the same; this is known as an arithmetic progression (AP). It is possible to obtain a formula for the nth term of the AP using this kind of development. A good example of an arithmetic progression (AP) is the series 2, 6, 10, 14,..., which follows a pattern in which each number is created by adding 4 to the previous term. The nth term in this series equals 4n-2. You may get the terms of the series by changing the nth term to n=1,2,3,... i.e.,
first term = 4n-2 = 4 when n = 1 (1)
-2 = 4-2=2
Second term for n = 2 is 4n-2 = 4. (2)
-2 = 8-2=6
When n is 3, the third term is 4n-2 (3)
-2 = 12-2=10
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The Stock Market Alexander is a stockbroker. He earns 14% commission each week. Last week, he sold $7,100 worth of stocks. How much did he make last week in commission? If he averages that same amount each week, how much did he make in commission in 2011?
The amount he earned last week in commission is $994.
The commission he earned in 2011 is $51,688
What is the commission?The commission earned is a fraction of the total sales of stocks.
Commission earned = amount of sales x percentage commission
14% x $7,100
= 14/100 x $7,100
= 0.14 x $7,100
= $994
Amount she earned in commission in a year = number of weeks in a year x commission earned per week
= $994 x 52 = $51,688
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The mass is 500
grams and the
volume is 40 cubic
centimeters
The mass is 125
grams and the
volume is v cubic
centimeters
The volume is 1.4
cubic centimeters
and the density is 80
grams per cubic
centimeter (et m
equal mass in
grams)
The mass is m
grams and the
volume is v cubic
centimeters.
Equation
The density of an object can be found by taking its mass
and dividing by its volume.
Write an equation to represent the relationship between
the three quantities (density, mass, and volume) in each
situation.
Let the density, D, be measured in grams/cubic
centimeters (or g/cm3).
The density is 12.5 grams per cubic centimeter and 80 grams per cubic centimeter.
What is the density?
Density is a measure of how much mass is contained in a given volume. It is defined as the ratio of mass to volume and is typically measured in units of grams per cubic centimeter (g/cm^3) or kilograms per liter (kg/L).
The mass is 500 grams and the volume is 40 cubic centimeters, therefore the density is:
density = mass / volume = 500 grams / 40 cubic centimeters = 12.5 grams per cubic centimeter
The mass is 125 grams and the volume is v cubic centimeters. To find the value of v, you can use the equation:
density = mass / volume = 125 grams / v cubic centimeters
so v = mass / density = 125 grams / 12.5 grams per cubic centimeter = 10 cubic centimeters
The volume is 1.4 cubic centimeters and the density is 80 grams per cubic centimeter. To find the mass you can use the equation:
mass = density x volume = 80 grams per cubic centimeter x 1.4 cubic centimeters = 112 grams
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What are the three graphs of linear equation?.
The graphing of linear functions can be done in three basic ways. Plotting points and then drawing a line through them is the first method. The second method makes use of the slope and y-intercept.
Transformations of the identity function f(x)=x f (x) = x are the third option.
There is a single solution, an infinite number of solutions, and there is no solution in an equational system. The number of solutions to a system can be determined algebraically and graphically.
Which three kinds of linear equations exist?Linear equations can take one of three main forms: the standard form, the point-slope form, and the slope-intercept form.
What exactly are linear equation graphs?The term "linear" refers to the graph of a linear equation with two variables. Plotting these two points and drawing the line that connects them are (x1,y1) and (x2,y2).
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PLS HELP ASAP!!! (40 POINTS)
Answer:
the answer is option A
Step-by-step explanation:
Distance between two points
/XY/ = √((X2-X1)²+(Y2-Y1)²)
Therefore
/XY/= √((7-(-5)²+(15-4)²)
Answer:
First a farl we should know,
Distance (d) = √(x2-x1)^2+ (y2-y1)^2
x(-5,4) = (x1, y1)
y(7,15) = (x2, y2)
Now,
Distance (d) = √(x2-x1) + (y2-y1)
Ans = √(7-5)^2 + (15-4)^2
Answred by : - ||Ziddiboy||
Raul crosses Main Street when he walks home from school. The graph of the function d(t)=4|t-0.75) shows Raul's distance, in miles, from Main Street after thours. The domain of the function is 0 <= x <= 1.5 The graph shows his entire trip
Raul's distance from Main street decreases in the interval,
0 ≤ t ≤ 0.75. And Raul walks 6 miles to get to school.
What is the distance between two points?The length of the line segment bridging two points on a plane is known as the distance between the points.
The formula to find the distance between the two points is usually given by d=√{(x₂-x₁)² + (y₂-y₁)²}.
Given:
Raul crosses Main Street when he walks home from school.
The graph of the function d(t)=4I(t-0.75)I shows Raul's distance, in miles, from Main Street after t hours.
The domain of the function is 0 ≤ x ≤ 1.5.
The graph shows his entire trip.
From the graph;
Raul's distance from Main street decreases in the interval,
0 ≤ t ≤ 0.75.
And to get to school,
Raul walks,
distance = (distance when t = 1.5) - (distance when t = 0)
Distance = (4 x 0.75) - (4 x -0.75)
Distance = 3 -(-3)
Raul walks = 6 miles.
Therefore, Raul walks 6 miles to get to school.
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The complete question is given on the attached image,
If 8% is 1400 what would be 100%
What is the ratio of all 30 60 90 triangles?.
Answer:
see attachement
Step-by-step explanation:
How do you plot a graph given an equation?.
To plot a graph an equation starts by determining the equation's variables. Select the variables' possible ranges of values.
Plot the equation using a graphing calculator or graphing software.
Enter the equation into the graphing calculator if you're using one. Enter the equation in the graphing software if you're using one. Modify the scale and labels of the graph to your specifications.
Draw the points on the graph by inputting the variables' values. Join the points together to create a graph.
All you have to do is change the variables in this formula to graph a linear equation. A linear equation is the simplest form of graph to create because no computations are required before drawing the graph. Draw a simple Cartesian coordinate plane.
Start at the y-intercept to plot the slope. The fraction's numerator is the rise (the number of spaces up), and its denominator is the run (the number of spaces to the side).
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Given the relation, B = { (4,2), (5,-3), (12,4), (-3,6), (x, 7)), which of the numbered choices represents a value for x which will make B a function? 1) -3 2) 4 3) 5 4) 7
The numbered choice 7 represents a value for x which will make B a function.
What is a function?A relation between a collection of inputs and outputs is known as a function. A function is a connection between inputs in which each input is connected to precisely one output. Each function has a range, co-domain, and domain.
Given:
A relation B = {(4,2), (5,-3), (12,4), (-3,6), (x, 7)}.
To prove that the relation is a function:
Each input value gives only one output value.
Input → output
4 → 2
5 → -3
12 → 4
-3 → 6
x → 7.
So, the value of x can not be 4, 5, 12, -3.
From the options, the value of x is 7.
Therefore, the value of x is 7.
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If the bae of the ail i 12 feet long and the height i 16 feet, what i the value of x?
The value of X will be 96 [tex]ft^{2}[/tex].
From the question, we can conclude that the shape is Triangle.
What is Triangle?
A triangle is a polygon with three vertices and three sides. The angles of the triangle are formed by the connection of the three sides end to end at a point. The triangle's three angles add up to 180 degrees in total.
Hence we will use the formula of the area of a triangle.
Area of Triangle = bh/2.
In question, it's given that our Base is 12 ft and our Height is 16 ft.
Area = (12*16)/2
Area = 96 [tex]ft^{2}[/tex]
Therefore our value of area i.e. X will be 96 [tex]ft^{2}[/tex].
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