Distance between the pair of points A(5,1) and C(-3 ,-3) is equal to
8.9 units (nearest tenth).
As given in the question,
Given points are A (5, 1) and C( -3,-3)
Distance between the pairs of points = [tex]\sqrt{(y_{2}-y_{1})^{2} + (x_{2}-x_{1})^{2} }[/tex]
=[tex]\sqrt{(-3-1)^{2} + (-3-5)^{2} }[/tex]
= [tex]\sqrt{16 + 64}[/tex]
= [tex]\sqrt{80}[/tex]
= 8.9 units (nearest tenth)
Therefore, distance between the pair of points A(5,1) and C(-3 ,-3) is equal to 8.9 units (nearest tenth).
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6(8f+10g) + 9g - 4(3g+9f)
Answer: 12j+7g
Step-by-step explanation:
not sure
Help it is due tonight
The three inequalities are y ≤ 18 - x, x + y ≤ 1.50, and x > 4.
What is inequality?Inequality is the relationship between two expressions that are not equal, employing a sign such as ≠ “not equal to,” > “greater than,” or < “less than.”.
Given that Rashaad has x dimes and y nickels having no less than 18 coins. The total amount is $1.50. The number of dimes is at least 4.
The inequalities formed by the given data are:-
y ≤ 18 - x,
x + y ≤ 1.50,
x > 4.
The graphical representation of the inequalities is shown in the attached graph below with the answer.
Therefore, the three inequalities are y ≤ 18 - x, x + y ≤ 1.50, and x > 4.
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how do i solve this math problem 5x+2=3(x-1)
8. The spherical cover of a lamp has a mass of 780 g and a diameter of 25 cm. If you were to use it to carry water, what would its mass be when it is full of water? Express your answer in kilograms.
The mass when it is full of water will be 8,961 grams.
What is Algebra?The analysis of mathematical representations is algebra, and the handling of those symbols is logic.
PEMDAS rule means for the Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to solve the equation in a proper and correct manner.
The spherical cover of a lamp has a mass of 780 g and a diameter of 25 cm. If you were to use it to carry water.
We know that the density of the water is 1 g / cm³. Then the mass of the water will be given as,
Density = mass / volume
1 = m / [(4/3)πr³]
m = (1/6) πd³
m = 8181 grams
The mass when it is full of water will be
⇒ 780 + 8181
⇒ 8,961 grams
The mass when it is full of water will be 8,961 grams.
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Solve the inequality.
7(x − 3) > −7\
Step-by-step explanation:
7(× - 3) > - 7
7× - 21 > - 7
7× > -7 + 21
7× > 14
______
7 7
× = 2
In this problem, you will explore changing dimensions in circles.
e. The scale factor from ®A to ®B is b/a . Write an equation relating the circumference (CA) of ®A to the circumference (CB) of ®B .
The equation relating the circumference (CA) of ®A to the circumference (CB) of ®B is a(CA) - b(CB) = 0.
What is scale factor?A scale factor in math is the ratio between corresponding measurements of an object and a representation of that object.
Now it is given that,
scale factor from ®A to ®B = b/a
⇒Ks = b/a
∵ Ks = A/B
By comparison we get,
A = b
and B = a
Thus, circumference (CA) of ®A = 2πr = 2πb
and, circumference (CB) of ®B = 2πr = 2πa
Dividing both we get,
circumference (CA) of ®A/circumference (CB) of ®B = b/a
by cross multiplication we get,
a * circumference (CA) of ®A = b * circumference (CB) of ®B
or, a * circumference (CA) of ®A - b * circumference (CB) of ®B = 0
or, a(CA) - b(CB) = 0
this is the required equation.
Thus, the equation relating the circumference (CA) of ®A to the circumference (CB) of ®B is a(CA) - b(CB) = 0.
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MARKING BRAINLIEST!!!!
Answer:
Step-by-step explanation:
Use the distributive property to remove the parentheses. Then use the addition property of equality to move the variables to the left and the constants to the right. Then simplify both sides of equation. Divide -1.76 to both sides of equation to solve for d.
1.8(6.4d + 4) = 1.6(8.3d + 6.7)
11.52d + 7.2 = 13.28d + 10.72
11.52d -13.28d = 10.72 -7.2
-1.76d/-1.76 = 3.52/-1.76
d = -2
A cyclist rode 3.75 miles in 0.3 hours.
How fast was she going in miles per hour? ___ miles per hour
At that rate, how many minutes will it take her to go 4.5 miles? ___ minutes
Answer:
12.5
Step-by-step explanation:
3.75 divided by 0.3 is equal to 12.5
so 4.5 divided by 0.3 is equal to 15
Answer:
12.5
Step-by-step explanation:
Which of the following represents the solution to the inequality -(4)x - 4 ≥ 8?
Answer:
Step-by-step explanation:
-4x ≥ 12 (Add 4 to both sides)
x ≥ -3 (Divide each side by -4)
Answer: x≤-3
Step-by-step explanation:
[tex]-(4)x-4\geq 8\\-(4)x-(1)(4)\geq (4)(2)[/tex]
Divide both parts of the equation by 4:
[tex]-x-1\geq 2\\-x-1+x\geq 2+x\\-1\geq 2+x\\-1-2\geq 2+x-2\\-3\geq x[/tex]
The mass of a paperclip is 8.0 × 10^−4 mg. If a box of paperclips has 7.68 × 10^4 paperclips, determine the total mass of the paperclips in the box. Write the final answer in scientific notation with the correct number of significant digits.
6.1 × 10^1mg
6 × 10^1 mg
6.144 × 10^1 mg
9.6 × 10^0 mg
The required mass of the paper clips in the box is = 61.44 mg.
Given that,
mass of a paperclip = 8.0 × 10⁻⁴
Number of paperclip in the box = 7.68 × 10⁴
The total mass of the paper clips 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,
Mass of paperclips = 8.0 × 10⁻⁴ x 7.68 × 10⁴
Mass of paperclips = 61.44 * 10 ⁻⁴⁺⁴
Mass of paperclips = 61.44 * 10 ⁰
Mass of paperclips = 61.44 * 1
Thus, the required mass of the paper clips in the box is = 61.44 mg.
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In 2004,8 million Americans over the age of 7 participated in mountain biking, and in 2006,8.5 million participated.
c. If participation continues at the same rate, what will be the participation in 2013 to the nearest 10,000 ?
If participation continues at the same rate, the participation in 2013 will be 5.75million i.e. 5750000 .
Slope(m) for given two points (x₁,y₁) and (x₂,y₂) is calculated using the formula
m=(y₂-y₁)/(x₂-x₁)
In the given question ,we will take year as x coordinate and the participation as y coordinate.
Given " The participation in 2004 was 8milllion" , So
The point becomes (2004,8)
and "the attendance in 2006 was 8.5 million" So
the point becomes (2006,8.5)
Now as we have the two points (2004,8) & (2006,8.5) ,
x₁=2004 , y₁=8 , x₂=2006 , y₂=8.5
slope can be calculated as
m=(8.5-8)/(2004-2006)
m=0.5/2
m=0.25
Hence , the rate of change is 0.25 million participants per year.
It is given in the question that rate of change remains constant.
To predict the attendance for the year 2013.
Let the attendance for the year 2013 be x.
we have (2004,8) and (2013,x)
let m=0.25, x₁=2004 , y₁=8 , x₂=2013 , y₂=x
m=(y₂-y₁)/(x₂-x₁)
Substituting the values above we get
[tex]0.25=\frac{8-y}{2013-2004} \\ \\ 0.25=\frac{8-y}{9}[/tex]
By cross multiplying we get
[tex]0.25*9=8-y\\ \\ 2.25=8-y\\ \\ y=8-2.25[/tex]
[tex]y=5.75[/tex]
Therefore , If participation continues at the same rate, the participation in 2013 will be 5.75million i.e. 5750000.
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How do the mean and median compare in a normal distribution?
Step-by-step explanation:
Normal distributions are symmetric around their mean. The mean, median, and mode of a normal distribution are equal. The area under the normal curve is equal to 1.0. Normal distributions are denser in the center and less dense in the tails.
i'll give brainliest
Answer:
its d
Step-by-step explanation:
Next week, there will be 63 campers. How many adults should the camp have next week? Show your work.
Answer: Campers: 7, 14, 28, 42
Adults: 1,2,5,30
Step-by-step explanation:
Find the 10 th term of each geometric sequence. a₉ =8, r= 1/2
The 10th term of the geometric sequence as described in the task content is; 4.
What is the 10tg term of the geometric sequence as given in the task content?It follows from the task content that the 10th term of the sequence is to.be determined.
On this note, since the 10th term differs from the 9th term by a factor of r, common ratio.
Hence; a(10) = a(9) × r
= 8 × (1/2)
a(10) = 4.
Ultimately, the 10th term is; 4.
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Record your answers on the answer sheet provided by your teacher or on a sheet of paper.
Quadrilateral W X Y Z is a rhombus. If m∠ X Y Z=110° , find m∠ Z W Y .
If quadrilateral WXYZ is a rhombus and ∠XYZ = 110°, then ∠ZWY is equal to 110°.
Rhombus is a quadrilateral that is similar to a parallelogram since its opposite sides are parallel with each other and its opposite angles are equal. All four sides of a rhombus are of equal length and the diagonals bisect each other at 90°.
Rhombus has 4 interior angles whose sum is 360°. The opposite angles of a rhombus are equal to each other while the adjacent angles are supplementary.
∠XYZ is the opposite angle of ∠ZWY and opposite angles of a rhombus are equal to each other.
If the measure of ∠XYZ is 110°,
∠XYZ = ∠ZWY
110° = ∠ZWY
then the measure of ∠ZWY is also equal to 110°.
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What does the slope of a line mean, and how can you find it?
PLS Give Me Brainliest!?
Answer:the slope of a line it the angle/slope that that line is at
Step-by-step explanation: slope times width
Amanda spent $56 on seven colored markers.
How much did each marker cost?
Answer:
$56/7 = 8 She spent $8 on each marker, (that's a lot).
Step-by-step explanation:
Hope it helps
Answer:
So per $8 per marker
Step-by-step explanation:
$56 ÷ 7 =$8
Need help with this problem please
Answer:
-16
4
9
19
29
Step-by-step explanation:
Whenever one of these questions comes up, just plug in whatever number is in the x column into the x in the problem above. Ex) for 3, you would want to turn 5x+4 into 5(3)+4, which is 19.
W + 14 = -8
What’s the value of w
W is equal to -22
W=22
Answer:
-22
Step-by-step explanation:
First, lets flip the equation so That we can find W
-8 - 14 = W
The rules of math state that a negative minus a positive can be equal to that negative turned positive plus that positive, the answer turned negative
For example
8+14 = 22
-8-14 =-22
So this means W is -22
Lets check our work
-22+ 14 =-8
So the answer is true
Hope this helps!^^
Rewrite the expression using the
distributive property: 15(5-2)
Answer: 75-30
Step-by-step explanation:
15(5-2)=
(15 * 5) - (15 * 2)= ==> multiply 15 by 5 and 2
75-30
Write each subtraction equation as an
addition equation.
a) - 9 = 6
p) - 20 =-30
z) - (-12) = 15
x) - (-7) = -10
WILL REWARD WITH BRAINLIEST + THANKS
Answer:
a) 6+9=15
p) -30+20= -10
m) 15-12=3
X) -10-7= -17
Evaluate:
1.62 +3.5 =
The answer is 5.12 easy as pie
Help!!! Limited time
You want to buy some clothing from an online retailer. The shirts cost $9 each and the pants cost $12 a pair. They also charge $4 shipping and handling for each order. Write a variable expression to represent the situation and determine what your total would be if you ordered 5 shirts and 2 pairs of pants.
Please show variable expression
For the given shirts and pants the cost of the 5 shirts and 2 pairs of pants will be $73.
What is an expression?
The mathematical expression is the combination of numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also be used to denote the logical syntax's operation order and other properties.
Given that the shirts cost $9 each and the pants cost $12 a pair. They also charge $4 shipping and handling for each order. the cost of 5 shirts and 2 pairs of pants will be calculated as below:-
Cost = 9s + 12 p + 4
Cost = 9 ( 5 ) + 12 ( 2 ) + 4
Cost = 45 + 24 + 4
Cost = $73
Therefore, the cost of the 5 shirts and 2 pairs of pants will be $73.
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Charlie's phone number is 555-3703. If he places each of the digits in a bowl and randomly selects one number at a time without replacement, what is the probability that lie will choose his phone number?
The probability that he will choose his phone number is 1/420.
we are given the phone number 555- 3703, which contains 7 digits : 3 5s, 2 3s, 1 0s, and 1 7s,
The formula for the probability of an event is:
no.of possible cases / total number of cases.
For the final result, we need to find the individual digits' probabilities and multiply them.
So, the probability of first digits: 3/7
the probability of Second digits: 2/6
the probability of third digits: 1/5
the probability of fourth digits: 2/4
the probability of fifth digits: 1/3
the probability of Sixth digits: 1/2
Therefore the probability of picking up his phone number is
= 3/7 * 2/6 *1/5 * 2/4 * 1/3 *1/2
= 1/420
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The number of chirps per minute, c, that the tree cricket makes is linearly dependent on the temperature, t, in fahrenheit. the crickets do not chirp at all at 34 degrees and at 56 degrees they chirp about 77 times per minute. a) express the number of chirps, c, in terms of the temperature, t. c = b) how many chirps per minute will crickets make at 62 degrees? select an answer
According to the question, the crickets don't chirp at all at [tex]34[/tex] degrees or below [tex]40[/tex] degrees and at [tex]56[/tex] degrees they chirp about [tex]140[/tex] times per minute. And [tex]55[/tex] chirps per minute when crickets make at [tex]62[/tex] degrees.
What is the calculation rule?
The calculation rule is to consider chirp rate as input and temperature as output. Then count the number of chirps, divide it by four and add forty to it. Therefore, the standard formula can be written as:
Estimated temperature = [tex](\frac{1}{4} )[/tex] chirp rate+[tex]40[/tex]
This formula is a mathematical model, it predicts the chirp rate with different temperatures. In mathematics, the temperature depends on the chirp rate that means once the chirp rate value is known then the temperature calculation becomes easy.
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What is the equation of the line that passes through the point (8,3) and has a slope of -1/4
equation of the line that passes through the point (8,3) is
3 = -2 + c
WHAT IS THE EQUATION OF LINE ?The equation for a straight line is y=mx + c, where c is the height at which the line intersects the y-axis, also known as the y-intercept, and m is the gradient.
CALCULATIONSince the equation of line is
y = mx + c
where m represents the slope
m = -1/4 (given)
and point for which we have to find the equation is (8,3)
plugging each and every value in the equation
we get the equation of the line ,
3 = -1/4 (8) + c
3 = -2 + c
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me positive
If M is the midpoint of AB, AM = 6x-4, and MB=8x-10, then find AB. (Hint: solve for x first!)
If M is the midpoint of AB , Value of AB = 28
What is mid points of line?
A location in the middle of a line connecting two points is referred to as the midpoint. The midpoint of a line is located between the two reference points, which are its endpoints. The line that connects these two places is split in half equally at the halfway.If M is the midpoint of AB it means AM is equal to MB
AM = 3x + 8 and MB = 6x-4
and AB = AM + MB
first find the value of x by using AM = MB
6x-4 = 8x-10
-4 + 10 = 8x - 6x
6 = 2x
x = 3
AB = 6( 3 ) - 4
= 18 - 4 = 14 = MB
AB = AM + MB
= 14 + 14
= 28
so, the value of AB is 28
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Two lines perpendicular to the same line are ___ to each other.
Answer: well they are parallel to each other
Answer:
parallelStep-by-step explanation:
Two lines perpendicular to the same line are ___ to each other.
Two lines perpendicular to the same line are parallel to each other.
what mathematical property is this: 2(1/2)=1
Answer: reciprocal property
Step-by-step explanation:
2 = 2/1 so flipped would be 1/2