Answer: n= -8
Step-by-step explanation:
1. -2 = -1 + [tex]\frac{n}{8}[/tex]
2. -1 = [tex]\frac{n}{8}[/tex]
3. -8 = n
Which shows the expression below simplified?
0.0042 - (1.2 x 10-6)
A. 3 x 10^-3
B. 1.1958 x 10^-6
C. 4.1988 x 10^-6
D. 4.1988 x 10^-3
The shows the expression below simplified 0.0042 - (1.2 x 10-6) as D. 4.1988 x 10^-3.
How can the expression be simplified?The concept that is been used is subtraction of the first expression from second expression.
The given expression is 0.0042 - (1.2 x 10-6) and this can be expressed in standard form as ( 4.2 *10^-3) - (1.2 x 10-6)
Then then the subtraction can be done as [ ( 4.2 *10^-3) ] - [ (1.2 x 10^-6) ] = 4.1988 x 10^-3
In conclusion, iif we go through the options., then we can see that the forth option is the best option that match the expression.
Therefore, option D is correct.
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determine if two triangles are necessarily congruent. if so in a flowchart proof to prove the they are.
Yes the two triangles are necessarily congruent as they are right angled so both the angles are equal and having two sides equal by using SAS rule that is Side, Angle, Side rule by the property of congruency.
What is Congruency?Two figures are considered to be "congruent" if they can be positioned precisely over one another. Both of the bread slices are the same size and shape when stacked one on top of the other. Congruent refers to things that are exactly the same size and shape.
What are the rules of congruency?If two triangles meet all 5 requirements for congruence, then they are congruent. They are right angle-hypotenuse-side (RAHS), angle-side-angle (ASA), angle-angle-side (AAS), side-side-side (SSS), and side-angle-side (SAS) (RHS).
Here the ΔCED and ΔPOR,
∠CED=∠POR
Side PR=CD
Side ED=PO
by using SAS rule,
ΔCED≅ΔPOR
Yes, the two triangles are inherently congruent because they have right angles, which means that both of their angles are equal, and because their sides are equal according to the SAS rule, which stands for Side, Angle, Side.
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Marshall is going to make an apple pie. He buys x pounds of apples and a pie crust that costs $4.50. The total cost in dollars. y. can be found using the equation below. y = 2.57x +4.5 What is the cost per pound of the apples
1) Considering that x is for pounds of apples and y is a total cost of an apple let's find the cost per pound of the apples, given that the y=2.57x +4.5
Let's turn that function into an equation
0=2.57x +4.5 Subtract 2.57x from both sides
-2.57x=4.5 Divide both sides by -2.57
x=-1.75
2) So if no one pie crust is sold, there is going to be a loss of $-1.75, according to that equation.
Therefore, we can infer that the cost per pound of the apples is $1.75
Is this a function (3,2) (-2,6) (3,3)
Answer:
No, it is not.
Step-by-step explanation:
A function only has exactly one output for each input. In other words, for each X input, there is only one Y output. In the given set of coordinates, 3 is repeated as an input, which makes this set of coordinates not a function.
Write the factored form of the polynomial function with real coefficients, a lead coefficient of 1, and zeros of − 2 , − 4 , 3 , and 3 .
The equation of the polynomial equation is P(x) = (x + 2)(x + 4)(x - 3)(x + 3)
How to determine the polynomial equation?The given parameters are
Leading coefficient = 1
Zeros = − 2 , − 4 , 3 , and 3 .
Polynomial equations have their multiplicities to add up to their degree.
This means that the multiplicity of the zeros is 1
The equation of the polynomial is then calculated as
P(x) = (x - zero)^ multiplicity
So, we have
P(x) = (x + 2)(x + 4)(x - 3)(x + 3)
From the question, the polynomial is to be factored
This means that we represent it as
P(x) = (x + 2)(x + 4)(x - 3)(x + 3)
Hence, the polynomial equation is P(x) = (x + 2)(x + 4)(x - 3)(x + 3)
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Polynomial is an expression consisting of indeterminates and coefficients the factored form of polynomial function is (x+2)(x+4)(x-3)(x-3)
What is Polynomial?Polynomial is an expression consisting of indeterminates and coefficients, which involves the operations like addition, subtraction, multiplication, and positive-integer powers of variables
Factors are the numbers which divide the expression or number with a remainder zero.
We need to write the factored form of the polynomial functions with real; coefficients and zeros minus two comma minus four comma three and 3.
The leading coefficient of the polynomial is 1. Leading coefficient means coefficient of leading term.
Zeros = − 2 , − 4 , 3 , and 3 .
Let the polynomial is of variable x.
The equation of the polynomial is then calculated as
P(x) = (x - zero)^ multiplicity
(x-(-2))=x+2
(x-(-4))=x+4
(x-3)=x-3
So the factored form is (x+2)(x+4)(x-3)(x-3)
the polynomial is P(x)=(x+2)(x+4)(x-3)(x-3)
Hence the factored form of polynomial function is (x+2)(x+4)(x-3)(x-3).
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given the figure, find the value of y for which the quadrilateral must be a parallelogram
For the figure to be a parallelogram, then y must be equal to 12
Here, we want to get the value of y for which the the quadilateral must be a parallelogarm
Mathematically, the diagonals of a parallelogarm bisects each other
That means the lengths on either sides are equal
Mathematically, we can get two equations as follows;
[tex]\begin{gathered} 3x\text{ = y} \\ 2x\text{ + 2y = 32} \\ \text{From the second equation;} \\ 2(x+y)\text{ = 2(16)} \\ x\text{ + y = 16} \\ \text{From this, we have that;} \\ x\text{ = 16-y} \\ we\text{ can put this in the first equation;} \\ 3(16-y)\text{ = y} \\ 48\text{ - 3y = y} \\ y\text{ + 3y = 48} \\ 4y\text{ = 48} \\ y\text{ = }\frac{48}{4} \\ y\text{ = 12} \end{gathered}[/tex]The ratio of people to animals is 40 to 15. There are 27 animals. How many people are there?
Answer: is 72 people to 27 animals
Step-by-step explanation:
I can find the ratio by cross multiplying
40/15 to x/27
15x = 1080
x = 72
you can also divide 40/15 for a ratio percent = 8/3
multiply 27 animals x 8/3 = 72
two ways to solve for ratios
ABCD - FECG B 5 E 6 100° 5 A 60° С 4 120° G w D W = ? 1°
From the figure, draw from D parallel to AB.
Calculate angle D from triangle DWC = 180 - (90+60) = 180 - 150 = 30
Angle D = 30
Angle W = 90 + 30 = 120
Final answer W = 120
Can Some one help PLEASEE
The variable x is 9 and the two adjacent angles have measures of 117° and 63°, respectively.
How to find the variable associated to the measure of two angles in a parallelogram
Parallelograms are quadrilaterals with two pairs of parallel sides of equal length. According to Euclidean geometry, the measures of two adjacent angles in a parallelogram are supplementary. Thus,
13 · x + 7 · x = 180°
Now we clear the variable x:
20 · x = 180°
x = 9
And the missing angles are:
13 · 9 = 117°
7 · 9 = 63°
The value of the variable x is 9 and the measures of the two adjacent angles are 117° and 63°, respectively.
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f(x)=-2x-3 find f(6)
Explain how you could build on know the decimal form of 1/5, to find the decimal form of 3/6. Then, write the decimal.
Answer in Atleast two complete sentences.
The decimal figure that would be added to 1/5 to give 3/6 = 0.3
What is decimal form?A decimal form is defined as the expression of figures that are more than a whole number with the use of decimal point.
Examples of figures that are in decimal form include the following: 0.2, 0.3, 0.4, 0.5, 1.2, 2.2,3.3 and 4.4.
To represent the given fractions in decimal form;
1/5 = 0.2
3/6 = 0.5
Therefore, X + 0.2 = 0.5
make X the subject of formula,
X = 0.5 - 0.2
X= 0.3
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Is (x-3) a factor of 2x^3 -4x^2-6?
1) (Type yes or no in the first blank)
2) What is the remainder?
(Type the answer in the second blank)
1. x - 3 is not a factor
2. The remainder is 32.
1. How to determine if x - 3 is a factor of 2x³ - 4x² - 6?Using the remainder theorem, which states that for a polynomial p(x), if x - a is a factor, then p(a) = 0.
So, p(x) = 2x³ - 4x² - 6 If x - 3 is a factor, then
p(3) = 0
So, substituting x = 3 into the equation, we have
p(3) = 2x³ - 4x² - 6
= 2(3)³ - 4(2)² - 6
= 2(27) - 4(4) - 6
= 54 - 16 - 6
= 54 - 22
= 32
Since p(3) ≠ 0.
x - 3 is not a factor
2. What is the remainder?Since p(3) = 32,
The remainder is 32.
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270 bottles are packed in 10 boxes. how many bottles are there in each box?
Answer:
27
Step-by-step explanation:
Divide 270 by 10
3 points
Simplify the following expression
I WILL USE THE LAWS OF EXPONENTS
[tex] {x}^{n} \times {x}^{m} \\ = {x}^{n + m} [/tex]
AND
[tex] \frac{{x}^{n}}{ {x}^{m} } \\ = {x}^{n - m} [/tex]
[tex] \frac{3 {x}^{ - 2 + 5} }{ {x}^{8} } \\ = \frac{3 {x}^{3} }{ {x}^{8} } \\ = 3 {x}^{3 - 8} \\ = 3 {x}^{ - 5} [/tex]
ATTACHED IS THE SOLUTION.
Answer:
i hope this one is good for you
If there are 20 cookies and 40 carrot each number are the same number of one whole cookies how many cost members might have been at the party,explain
2, 4, 5, 10 and 20 cast members were possible attendees at the celebration.
The acting teacher provided 20 biscuits and 40 carrot sticks as refreshments in light of this.
What are the factors?
A factor in mathematics is an integer that evenly divides another number by itself, leaving no residue.
2, 4, 5, 10, and 20 make up the factors of 20 and 40.
Additionally, the number of cast members must be greater than one and a divisor of 20 and 40.
Therefore, there could be 2, 4, 5, 10, or 20 cast members.
Therefore, 2, 4, 5, 10 and 20 cast members may have attended the celebration.
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is the ordered pair (-8 1) a solution to the equation y=1/2x-3
No, the ordered pair (-8,1) is not a solution to the equation y=(1/2)x-3.
In the question ,
an equation y=(1/2)x-3 is given ,
if the ordered pair (-8,1) is a solution of the equation , then it should satisfy the equation .
Substituting x=-8 and y=1 in the equation y=(1/2)x-3 , we get
y=(1/2)x-3
1 = (1/2)(-8) -3
1 = -8/2 -3
1 = -4-3
1 ≠ -7
Since 1≠7 , the ordered pair (-8,1) is not a solution to the equation y=(1/2)x-3 .
Therefore , No , the ordered pair (-8,1) is not a solution to the equation y=(1/2)x-3.
The given question is incomplete , the complete question is
Is the ordered pair (-8,1) a solution to the equation y=1/2x-3 ?
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If angles of the triangle are In 2:3:7 then find all the angles
Answer:
Since all triangle angles sum to 180 then we can say
2x + 3x + 7x = 180
12x = 180
x = 15
There fore the angles are
2 * 15 3 * 15 and 7 * 15 or
30 45 and 105
Those 3 total 180 degrees
Step-by-step explanation:
11. Find m/Q. The diagram is not to scale.
Q/ R
77°
47°
During two games, the number of points scored by a basketball team increased from 5 to 3 by what did the number of points scored increase?
EXPLANATION
Let's see the facts:
The increasing rate is:
[tex]Increa\sin g\text{ rate=}\frac{5}{3}=1.67[/tex]The increasing rate is 1.67
In percentage this is:
[tex]Increa\sin g=\frac{3}{5}\cdot100=\frac{3}{5}\cdot100=60[/tex]The percentage of increasing is of 60%.
This is following statement, true or false
The lines aren't parallel since they intersect at point B.
Parallel lines never intersect.
Find the area of the region that is inside the square and outside the circle. The circle has a diameter of 8 inches. Round to the nearest tenth.
The area of the region within the square and without the circle is equal to 13.7 square inches.
What is the area of a region generated by a square and a circle?In this problem we find the case of figure generated by a square and an inscribed circle. Then, the area of the region is found by subtracting the area of the circle from the area of the square. Then, the area is:
A = L² - 0.25π · D²
Where:
L - Side length, in inches.D - Diameter, in inches.A - Areas, in square inches.If we know that D = L = 8 in, then the area of the region is:
A = (8 in)² - 0.25π · (8 in)²
A = 64 in² - 50.265 in²
A = 13.735 in²
The area of the region is equal to 13.7 square inches.
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Solve for x -3x-9=-15
Answer:
[tex]x = 2[/tex]
Step-by-step explanation:
Let's solve your equation step-by-step.
−3x−9=−15
Step 1: Add 9 to both sides.
−3x−9+9=−15+9
−3x=−6
Step 2: Divide both sides by -3.
−3x/−3 = −6/−3
x=2
The hypotenuse of a right triangle measures 18 cm and one of its legs measures 7 cm.
Find the measure of the other leg. If necessary, round to the nearest tenth.
The hypotenuse of a right triangle = 19.31cm
What is Hypotenuse?
The longest side of a right-angled triangle, or the side across from the right angle, is called the hypotenuse. The Pythagorean theorem, which asserts that the square of the length of the hypotenuse equals the sum of the squares of the lengths of the other two sides, can be used to determine the length of the hypotenuse.
Let the measure be,
Perpendicular = 18cm
Base = 7cm
Hypotenuse = ?
To find the Hypotenuse we can Pythagoras Theorem:
Hypotenuse² = Perpendicular²+ Base²
H² = (18)² + (7)²
H² = 324 + 49
H² = 373
H = [tex]\sqrt{373}[/tex]
H = 19.31cm
Hence, The measure of the other leg is²
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Help me answer this what’s wrong with this problem
Answer:
See below
Step-by-step explanation:
The equation is
y = [tex]x^{2}[/tex] + x
x equals the step
We see steps: 1, 2,3 and 4
y equals the number of squares that you see in each step.
If you look at step 1, you see [tex]1^{2}[/tex] + 1 = 2
Step 2: [tex]2^{2}[/tex] + 2 = 6
Step 3: [tex]3^{2}[/tex] + 3 = 12
Step 4: [tex]4^{2}[/tex] + 4 = 20
Can you see at each step there is a square of the number and then a little extra? That little extra equals the number of the stop.
In the equation
y = 4x -2
Step 1
y = 4(1) -2
y = 2 It works!
Step 2:
y = 4x -2
y = 4(2) - 2
y = 8 - 2
y = 6 It works!
Step 3:
y = 4x -2
y = 4(3) - 2
y = 12 - 2
y = 10 It does not work!
Step 4:
y = 4x -2
y = 4(4) - 2
y = 16 - 2
y = 14 It does not work!
The equation y= 4x -2 only worked for the first 2 steps.
Find the smallest whole number bu which 512 must be multiplied in order to give a perfect square
Answer:
2
Step-by-step explanation:
512÷2=256
256÷2=128
128÷2=64
64÷2=32
32÷2=16
16÷2=8
8÷2=4
4÷2=2
2÷2=1
=(2^2)+(2^2)+(2^2)+(2^2)+2
When 2 is multiplied it will make it a perfect square.
512×2=1024
√1024
=32
suppose that the lifetime of a transistor is a gamma random variable x with mean of 24 weeks and standard deviation of 12 weeks. what is the probability that the transistor will last between 12 and 24 weeks?
The probability that the transistor will last between 12 and 24 weeks is 0.424
X= lifetime of the transistor in weeks E(X)= 24 weeks
O,= 12 weeks
The anticipated value, variance, and distribution of the random variable X were all provided to us. Finding the parameters alpha and beta is necessary before we can discover the solutions to the difficulties.
X~gamma([tex]\alpha ,\beta[/tex])
E(X)= [tex]\alpha \beta[/tex] [tex]\beta[/tex]= [tex]12^{2}/24[/tex]=6 weeks
V(x)= [tex]\alpha \beta ^{2}[/tex] [tex]\alpha[/tex]=24/6= 4
Now we can find the solutions:
The excel formula used to create Figure one is as follows:
=gammadist(X, [tex]\alpha[/tex], [tex]\beta[/tex], False)
P([tex]12\leq X\leq 24[/tex])
P([tex]12/6\leq G\leq 24/6[/tex])
P([tex]2\leq G\leq 4[/tex])
P= 0.424
Therefore, probability that the transistor will last between 12 and 24 weeks is 0.424
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Answer:
Step-by-step explanation:
0.424 is the probability that the transistor will last between 12 and 24 weeks.
X= lifetime of the transistor in weeks E(X)= 24 weeks
Standard deviation= 12 weeks
Finding the parameters alpha and beta X~gamma(αβ)
E(X)= αβ β =6 weeks
V(x)=αβ^2 α =24/6= 4
Now we can find the solutions:
The excel formula used to create Figure one is as follows:
=gammadist(X,α,β,False)
P(12≤X≤24)
P(12/6≤G≤24/6)
P= 0.424
Therefore, probability that the transistor will last between 12 and 24 weeks is 0.424
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Simplify (10y - 5g)(3s + 6g) using foil method
Solve 4h = 92 for h.h = ___
Answer:
23
Step-by-step explanation:
4h = 92
Divide both sides by 4 to get h by itself
h = 23
An oatmeal cookie calls for 1/2 cup of butter to make 6 dozen cookies. Hilda needs to make 15 dozen cookies for the bake sale. How many cups of butter will she need
1) Given that an oatmeal cookie has these proportions, let's set a pair of ratios to get that:
[tex]undefined[/tex]6. Write the equation for the line: (Hint: there are two points given to you!) 1 (3-1) 4 Homework Packet 3,1-3143.pdf hit ng
. Write the equation for the line: (Hint: there are two points given to you!)
________________________
y= mx + b
the slope is m
or
(y - y1) = m (x - x1)
___________________
points (x,y)
point 1 (4, 4) x1 = 4; y1 = 4
point 2 (3 , -1) x2= 3; y2 = -1
The slope m = (y2- y1) / (x2 -x1)
m=(-1 - 4 )/( 3 - 4)
m= -5/-1 = 5
(In this case, you choose which point you want to put as point one and point two, you will always get the same answer)
____________________
(y - 4) = 5 (x - 4)
y= 5x -20 +4
y= 5x - 16
The equation for the line is y= 5x - 16
__________________
Do you have any questions regarding the solution?