Answer:
0 = 0Step-by-step explanation:
-3(x - 14) + 9x = 6x + 42
solve for x from the equation above;
-3(x - 14) + 9x = 6x + 42 distribute-3x + 42 + 9x = 6x + 42 combine like terms42 - 42 = 6x + 3x - 9x simplify0 = 0therefore, the result to the statement is 0 = 0
How can you evaluate the quotient of powers?
Usually you subtract the exponents...like this
x^8
x^5
the solution would be x^3
hope this helped :D
A certain computer can perform a maximum number of operations per second. If this computer is running at 65%
of the maximum and is performing 30 operations per second, what is the maximum number of operations the
computer can perform per second? Round your answer to the nearest whole number.
1. 20 operations per second
2. 46 operations per second
3. 1,950 operations per second
4. 95 operations per second
Answer:
Let the maximum number of operations the computer can perform per second be x.
According to the problem, the computer is running at 65% of the maximum, so it is performing 0.65x operations per second. We also know that it is performing 30 operations per second. So we can write the equation:
0.65x = 30
Solving for x, we get:
x = 30/0.65
x ≈ 46.1538
Rounding to the nearest whole number, we get:
x ≈ 46
Therefore, the maximum number of operations the computer can perform per second is 46, which is option 2.
help will mark brainliest, 100 points
Answer:
Slope: − 4
y-intercept: ( 0 , 0 )
x y 0/ 0
1 /− 4
Step-by-step explanation:
Give brainliest :)
Answer:
Slope: − 4
y-intercept: ( 0 , 0 )
x y 0/ 0
1 /− 4
Step-by-step explanation:
A sequence of translations maps GHI to G’H’I’. GHI has vertices at G(-8, 2), H(13, 2), I(-2, 10) The coordinates of G’ are (-1, -3). What are the coordinates for H’? What are the coordinates for I’?
The coordinates for H are,
(20,-3)
The coordinates for I are,
(5,5)
Just completed the quiz and got this correct. Hope this helps! :)
The coordinate for H' and I' will be (20, -3) and (5, 5), respectively.
What is a transformation of a point?A spatial transformation is each mapping of feature space to itself and it maintains some spatial correlation between figures.
A sequence of translations maps GHI to G’H’I’. GHI has vertices at G(-8, 2), H(13, 2), I(-2, 10) The coordinates of G’ are (-1, -3).
Let the point is shifted by (x, y). Then the value of (x, y) will be given as,
G' ⇒ G
(-1, -3) ⇒ (-8 + x, 2 + y)
Compare the terms, then we have
-1 = -8 + x
x = 7
-3 = 2 + y
y = -5
Then the coordinate for H' will be given as,
H' ⇒ (13 + 7, 2 - 5)
H' ⇒ (20, -3)
Then the coordinate for I' will be given as,
I' ⇒ (-2 + 7, 10 - 5)
I' ⇒ (5, 5)
The coordinate for H' and I' will be (20, -3) and (5, 5), respectively.
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A. MODELING REAL LIFE In the diagram of the parking lot, m/JKL = 60°, JK=LM=21 feet, and KL =JM=9 feet.
m
m
m
Therefore , the solution of the given problem of angles comes out to be
∠m = 140° for the given question.
What does an angle mean?An angle in Euclidean geometry is a form comprised of two rays, known as the flank of the hooking, that converged at the summit of both angles, which is situated in the middle. In the plane where they are positioned, two rays may come together to make an angle. An angle is also produced when two planes collide. They are referred to as dihedral angles. There are many different ways to arrange line segment ray with dismissals in order to make an angle in two dimensions.
Here,
Given : ∠m/∠JKL = 60° , JK=LM=21 feet and KL =JM=9 feet.
Thus ,
to find the value of m :
From the given information we can say that
=> JKL = 21/9
=> JKL = 7/3
So,
=> 3∠m/7 = 60
=> 3∠m = 60 * 7
=> ∠m = 140°
Therefore , the solution of the given problem of angle comes out to be
∠m = 140° for the given question.
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identify the domain of the graphed function
[-3,6)
(-3,-1)U(-1,2)U(2,6)
(-3,2)U(2,6]
[-3,-1)U(-1,6)
Answer: \([-3,-1) \cup (-1, 6)\)
Step-by-step explanation:
The domain of a function is the set of \(x\)-values.
A hole means that the value is not included in the domain, whereas a filled circle means the value is included in the domain.
Thus, the domain is \([-3,-1) \cup (-1, 6)\).
Write the slope intercept form of the equation of the line that passes through the point (4, 8) and has a slope of -2.
The equation of the line is y = -2x + 16 which passes through the point (4, 8) and has a slope of -2.
What is a linear equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
It is given that:
The line that passes through the point (4, 8) and has a slope of -2.
On comparing the standard equation:
y = mx + c
Here m is the slope of the line and c is the y-intercept.
m = -2
y = -2x + c
Plug x = 4 and y = 8
8 = -2(4) + c
c = 16
y = -2x + 16
Thus, the equation of the line is y = -2x + 16 which passes through the point (4, 8) and has a slope of -2.
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AC is a diameter of OE, the area of the
circle is 289 units2, and AB = 16 units.
Find BC and mBC.
B
A
C
E. plssss hurry !!
The measure of arc BC is 720 times the measure of angle BAC.
Given that AC is the diameter of the circle and AB is a chord with a length of 16 units, we need to find BC (the length of the other chord) and mBC (the measure of angle BAC).
To find BC, we can use the property of chords in a circle. If two chords intersect within a circle, the products of their segments are equal. In this case, since AB = BC = 16 units, the product of their segments will be:
AB * BC = AC * CE
16 * BC = 2 * r * CE (AC is the diameter, so its length is twice the radius)
Since the area of the circle is given as 289 square units, we can find the radius (r) using the formula for the area of a circle:
Area = π * r^2
289 = π * r^2
r^2 = 289 / π
r = √(289 / π)
Now, we can substitute the known values into the equation for the product of the segments:
16 * BC = 2 * √(289 / π) * CEBC = (√(289 / π) * CE) / 8
To find mBC, we can use the properties of angles in a circle. The angle subtended by an arc at the center of a circle is double the angle subtended by the same arc at any point on the circumference. Since AC is a diameter, angle BAC is a right angle. Therefore, mBC will be half the measure of the arc BC.
mBC = 0.5 * m(arc BC)
To find the measure of the arc BC, we need to find its length. The length of an arc is determined by the ratio of the arc angle to the total angle of the circle (360 degrees). Since mBC is half the arc angle, we can write:
arc BC = (mBC / 0.5) * 360
arc BC = 720 * mBC
Therefore, the length of the arc BC equals 720 times the length of the angle BAC.
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Answer B for me please!!! I need help. What assumption would you need to make to make about the diagram in order to assume that the measure of angle 1 is congruent to the measure of angle 3?
I believe its because they are corresponding angles
What is the name and formula for the most common natural ore for copper? which country produces and refines the largest volume of copper?.
Copper oxide, often known as CuO, is the most typical natural ore of copper.
An estimated 5.6 million metric tons of copper were produced in 2021 in Chile, the world's largest copper producer.
What is copper?
A ductile, malleable, and highly efficient conductor of heat and electricity, copper is a reddish-gold colored metal. Since it was the first metal that humans worked with, copper is one of the metals that is used the most frequently today.
The two primary copper ores are copper oxide ore and copper sulfide ore. Both forms of ore may be profitably mined, although chalcopyrite, a sulfide ore mineral, is the most prevalent source of copper ore and represents nearly half of the metal's output.
The most significant and significant source of copper metal is chalcopyrite. The hue is often brassy to golden-yellow, frequently tarnished, and has a submetallic shine along with greenish-black streaks.
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If the Canadian dollar buys 82¢ in US currency, what would it cost, in Canadian dollars to buy a scooter advertised for $164. 00 in the USA?
HELP ME PLEASE
Answer: 200
Step-by-step explanation:
1 Canadian dollar buys 82c in US
1 dollar = 100c
=> 100 c Canadian = 82c in US
=> 100 Canadian dollar buys 82 dollar in US
Canadian dollar required to buy 82 dollar in US = 100
=> Canadian dollar required to buy 1 dollar in US = 100/82
=> Canadian dollar required to buy 164 dollar in US = 164 x 100/ 82
= 2 x 100
= 200 $
cost 200 in Canadian dollars to buy a Walkman advertised for $164.00 in the USA
In order for the parallelogram to be a square, x=?
Answer:
x=7 Thx pls mark as brainliest
Step-by-step explanation:
In order for a polygon to be a parallelogram, the polygon needs to be a four-sided rectangle type shape, with two sets of parallel sides.
For this square to be a parallelogram, all
4
angles need to be
90
º
. This will give us to the two sets of parallel sides.
Knowing this, and the fact that on of the angles is being bisected, we need only multiply the defined angle by two and set it equal to
90
.
I need some help please ASAP
Answer:
sjsjwhwyegehbddwhshshshhshehsh
What value of s makes the equation true?
Answer:
-17 =s
Step-by-step explanation:
-8s +4 = -7s +21
Add 8s to each side
-8s+8s +4 = -7s+8s +21
4 = s+21
Subtract 21 from each side
4-21 = s+21-21
-17 =s
Answer:
s = -17
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityAlgebra I
Terms/CoefficientsStep-by-step explanation:
Step 1: Define
Identify
-8s + 4 = -7s + 21
Step 2: Solve for s
[Addition Property of Equality] Add 7s on both sides: -s + 4 = 21[Subtraction Property of Equality] Subtract 4 on both sides: -s = 17[Division Property of Equality] Divide -1 on both sides: s = -17A shopkeeper sold a pen for Rs.13.20 to make a profit of 10 percent. In order to earn a profit
of 15 percent, he should have sold it for.
a. Rs.13.53
b. Rs.13.73
c. Rs.13.80
d. Rs.13.86
The selling price of the pen would be Rs. 13.80 to obtain a 15% profit
How to determine the valueLet the cost price of the pen be Rs. x.
The profit noted in Case 1 = 10% of CP, i.e., 10/100 x
The SP of the pen = 13.20
The CP of the pen is calculated as:
SP = CP + Profit
X + 10/100 x = 13.20
110/100 x = 13.20
x = 1320/ 110
x = 12
The Cost price of the pen is Rs 12.
If he wanted to acquire a profit of 15%, the selling price of the pen would be calculated as:
SP = CP + P
= 12 + (15 x 12)/100
= 12 + 180/100
SP = 13.80
Thus, the Selling price of the pen would be Rs. 13.80 to obtain a 15% profit
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A traditional unit of length in japan is the ken (1 ken = 1.97 m). what are the ratios of (a) square kens to square meters?
The ratios of (a) square kens to square meters (1 ken² / 1 m²) is 3.88
For given question,
We have been given the unit conversion.
A traditional unit of length in Japan is the ken
and 1 ken = 1.97 m
We need to find the the ratios of (a) square kens to square meters.
First we find the square of 1 ken.
⇒ 1 square kens = (1.97 m)²
⇒ 1 square kens = 1.97 × 1.97 m²
⇒ 1 square kens = 3.88 m² ..................(1)
And 1 square meters = 1 m² ................. (2)
Now we take the ratio of square kens to square meters.
From (1) and (2),
⇒ 1 ken² / 1 m² = 3.88 / 1
⇒ 1 ken² / 1 m² = 3.88
Therefore, the ratios of (a) square kens to square meters (1 ken² / 1 m²) is 3.88
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Variability between groups is due to ______. Group of answer choices the level of the dependent variable the F ratio the grouping factor chance Flag question: Question 4
Variability between groups is due to the grouping factor.
The F ratio is a measure of the variability between groups relative to the variability within groups, but it is not the cause of the variability between groups.
In an experimental design, researchers often manipulate an independent variable to observe its effects on a dependent variable.
The independent variable is often a grouping factor, which means that participants are assigned to different groups based on some characteristic or condition.
Participants may be assigned to a treatment group or a control group, or they may be grouped based on age, gender, or some other factor.
The experiment is conducted, the dependent variable is measured in each group, and the researcher is interested in whether there are significant differences between the groups.
Variability between groups refers to the differences in the mean scores of the dependent variable between the different groups.
The grouping factor is the reason for the variability between groups.
This is because the different groups are defined by the levels of the grouping factor, and the participants within each group are assumed to be similar with respect to the dependent variable.
Any differences between the groups must be due to the effect of the grouping factor.
The F ratio, which is calculated by dividing the variability between groups by the variability within groups, is used to test whether the differences between the groups are statistically significant.
The F ratio is a measure of the extent to which the grouping factor explains the variability in the dependent variable, and a significant F ratio indicates that there are significant differences between the groups.
Variability between groups is due to the grouping factor, and the F ratio is used to test whether the differences between the groups are statistically significant.
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how do I save this?
Answer:
First just screen shot that and you go to the gallery/photos and look you have a picture like that
What is the simplified expression for the expression below? Negative one-fifth (5 x + 20) minus one-fourth (4 x minus 28) –2x + 3 –2x – 3 –2x – 8 –2x + 8
Answer:
Hello, the answer to this question is A the other person is wrong
Step-by-step explanation:
Answer:
A) –2x + 3
Step-by-step explanation:
Please help me with this question!!!!!
h = 11.9 cm
cos = adjacent/ hypotenuse
therefore:
cos(24) = h/ 13
rearrange:
h = 13cos(24)
put into calculator:
h = 11.8760...
rounded to one decimal point:
h = 11.9cm
Consider a circle with radius r = 2. Give only exact answers, and type pi for π if needed. 4π (a) Find the arc length subtended by a central angle of 3 (b) Find the area of the sector cut out by a c
The arc length subtended by a central angle of 3π/4 is 3π/2. The area of the sector cut out by a central angle of π/3 is (2π)/3
The given circle with radius r = 2. Let's calculate the arc length subtended by a central angle of 3π/4, and the area of the sector cut out by a central angle of π/3.
(a) To calculate the arc length subtended by a central angle of 3π/4: For the given central angle and radius of the circle, we can use the following formula to calculate the arc length: L = rθ,where L is the arc length, r is the radius, and θ is the central angle in radians. So, by substituting r = 2 and θ = 3π/4 in the above formula, we get: L = (2)(3π/4) = 3π/2.
The arc length subtended by a central angle of 3π/4 is 3π/2.
(b) To calculate the area of the sector cut out by a central angle of π/3: For the given central angle and radius of the circle, we can use the following formula to calculate the area of the sector: A = (1/2)r²θ,where A is the area of the sector, r is the radius, and θ is the central angle in radians. So, by substituting r = 2 and θ = π/3 in the above formula, we get: A = (1/2)(2)²(π/3) = (2π)/3.
The area of the sector cut out by a central angle of π/3 is (2π)/3.
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To find the whole value of X, you should
I will mark you :)
Isolate the variable x and bring it on one side
then solve the equation
Hope this helps
3 raise to the power 0 + 2 raised to the power negative 2 . find this value leaving your answer in standard form.
Answer:
5
Step-by-step explanation:
3 to the power of 0 is 1
Why? n to the power of 0 is 1 independent of n
2 to the power of 2 is 4
Why? 2 × 2 = 4
So it's 1 + 4 = 5
I hope this helps you :)
Xavier buys a dog collar that costs $6.79. He pays for the dog collar
with a $10 bill.
How much change does Xavier receive?
Answer: Xavier will receive $3.21 in change.
Step-by-step explanation:
To find the change Xavier receives, we need to subtract the cost of the dog collar from the amount he paid with his $10 bill:
Change = $10 - $6.79 = $3.21
Therefore, Xavier will receive $3.21 in change.
Jackie surveyed the first 20 students in the lunch line.
Is this a random sample of the students in the school?
Yes or No
Answer:
Yes
Step-by-step explanation:
It is a random sample of students because they are just random people that Jackie is asking, its not only people in on grade, or only people on the basketball team.
A right rectangular prism is sliced in a way such that the plane passes through the prism at a slant. what is the resulting cross section?
The resulting cross section of the prism will be a parallelogram.
When a right rectangular prism is sliced in a way such that the plane passes through the prism at a slant, the resulting cross section is a parallelogram. This is because the intersection of a plane and a rectangular prism that is not parallel to any of its faces is always a parallelogram.
The shape and size of the parallelogram will depend on the orientation of the plane and the dimensions of the prism. Since the prism is a right rectangular prism, the opposite faces are parallel and congruent, and so are the opposite edges of the parallelogram cross section.
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through: (-1,0), parallel to y = 4x
Answer:
Find the slope of the original line and use the point-slope formula y−y1=m(x−x1)to find the line parallel to y=4x.
y=4x+4
Step-by-step explanation:
Type the correct answer in each box. Use numerals instead of words.
Consider the given circle with the shaded sector XY and central angle, 225°. The circumference of the circle is 30
units.
A circle with center C has two lines C X, and C Y drawn from the center of the circle to the circle wall such that the exterior angle of X C Y is 225 degrees.
Use the given information to complete the statements. Round any non-integer answers to the hundredths place.
The correct answer is Length of arc XY: 15.03 units.Area of shaded sector XY: 15.73 square units.
To complete the statements, we can use the properties of circles and the given information.
The length of the arc XY, denoted as "s," can be found using the formula:
s = (θ/360) * 2πr
where θ is the central angle in degrees and r is the radius of the circle.
Given that the central angle is 225° and the circumference of the circle is 30 units, we can solve for the radius (r):
Circumference = 2πr
30 = 2πr
r = 30 / (2π) ≈ 4.77 units (rounded to the hundredths place)
Now we can calculate the length of the arc XY:
s = (225/360) * 2π * 4.77 ≈ 15.03 units (rounded to the hundredths place)
Therefore, the length of the arc XY is approximately 15.03 units.
The area of the shaded sector XY, denoted as "A," can be found using the formula:
A = (θ/360) * πr²
Using the same values for θ and r as above, we can calculate the area:
A = (225/360) * π * (4.77)² ≈ 15.73 square units (rounded to the hundredths place)
Therefore, the area of the shaded sector XY is approximately 15.73 square units.
Note: Please double-check the formulas and calculations with the provided information to ensure accuracy.
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The cost of cloth is directly proportional to the length. A 3.2-metre length of cloth costs $38
Work out the cost of a 2.4-metre length of cloth.
Answer:
\(x = \$28.5\)
Step-by-step explanation:
Given
Variation: Direct Proportion
\(3.2m = \$38\)
Required
Determine the cost of 2.4m length
Represent the cost of 2.4m length with x
So, we have:
\(3.2m = \$38\)
and
\(2.4m = x\)
Cross Multiply:
\(3.2m * x = \$38 * 2.4m\)
\(3.2 * x = \$38 * 2.4\)
Solve for x
\(x = \frac{\$38 * 2.4}{3.2}\)
\(x = \frac{\$91.2}{3.2}\)
\(x = \$28.5\)
Hence, the cost of 2.4m length is $28.5
Could someone help me pls
Answer:
8
Step-by-step explanation:
You know that 65+9x-1+5x+4=180
Simplify
68+14x=180
14x=112
x=8