Answer:
the mid point of (-3,4) and (-6,0) is (4.5,2)
Answer:
[tex]=(-4.5, 2)[/tex]
Step-by-step explanation:
Midpoint formula is:
[tex](x_m, y_m) = (\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2})[/tex]
where
x1=-3, x2=-6
y1=4, y2=0
Now just plug into formula
[tex]=( \frac{-3+-6}{2}, \frac{4+0}{2})[/tex]
[tex]= ( \frac{-9}{2}, \frac{4}{2})[/tex]
[tex]=(-4.5, 2)[/tex]
Find the first five terms of each sequence. a n =-n²+2 n
The first five terms of the sequence. an=n2 +2 are 3, 6, 11, 18 and 27.
The sequence is given as n² + 2.
The first term will be:
= n² + 2 = 1² + 2 = 1 + 2 = 3
The second term will be:
= n² + 2 = 2² + 2 = 4 + 2 = 6
The third term will be:
= n² + 2 = 3² + 2 = 9 + 2 = 11
The fourth term will be:
= n² + 2 = 4² + 2 = 16 + 2 = 18
The fifth term will be:
= n² + 2 = 5² + 2 = 25 + 2 = 27
Therefore, the first five terms of the sequence. an=n2 +2 are 3, 6, 11, 18 and 27.
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sustitucion de 18-3x=9
Answer: x=+9
Step-by-step explanation:
18=3x-9 18-(3x-9)=0 3x+9+18=0 -3x+27=0
-3x=-27
x=-27/-3
x=+9
Hope this helps! :) Have a great day! ^-^
Answer:
x=3
Step-by-step explanation:
18-3x=9
-18 -18 Subtract 18 from both sides of the equation to leave 3x by itself.
3x=9
/ /
3 3 Divide both sides by 3 to isolate x.
x=3 Final answer.
2. Amirah, Huixian and Priya make a total of 1530 toys in the ratio 12: 16:17.
(ii) the amount of money Priya earns if she is paid $1.65 for each toy.
Answer:
$953.70
Step-by-step explanation:
sum the parts of the ratio, 12 + 16 + 17 = 45 parts
divide the total number of toys by 45 to find the value of one part of the ratio.
1530 ÷ 45 = 34 , then
Priya makes 17 × 34 = 578 toys
she is paid $1.65 per toy, so is paid
578 × $1.65 = $953.70
An archer aims at a target that is 122 centimeters in diameter with 10 concentric circles whose diameters decrease by 12.2 centimeters as they get closer to the center. Find the probability that the archer will hit the center.
The probability that the archer will hit the center which is 122 centimeters in diameter with 10 concentric circles whose diameters decrease by 12.2 centimeters as they get closer to the center is 1/100.
As given in the question,
Total number of concentric circle=10
Outer circle diameter=122centimeters
Diameter decrease by 12.2 centimeters as they get closer to the center
Diameter of inner most circle= 122-9(12.2)
= 12.2centimeter
Probability that archer hit the center
= (Area of inner most circle)/ (Area of target)
= π(6.1)²/π(61)²
= {π(61)²/π(61)²}× 1/100
= 1/100
Therefore, probability that the archer will hit the center is 1/100.
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3-4 The prime factorizations of 30 and 42 are shown. (D) 30 = 2 × 3 × 5 42 = 2 × 3 × 7 Which product is the greatest common factor of 30 and 42? A. 2 × 3 × 5×7 C. 5 × 7 TOSHIBA B. 2×2×3×3×5×7 D. 2 × 3
Answer:
D. 2 × 3
Step-by-step explanation:
Let's take the prime factorization of 30 and 42
30: 2*15=2*3*5
42: 2*21=2*3*7
Notice any common factors?
GCF: 2*3=6
GCF: 6
The radius, diameter, or circumference of a circle is given. Find the missing measure to the nearest hundredth.
r = 11 2/5ft, d=?, C =?
A circle is a curve sketched out by a point moving in a plane. The radius, diameter, and circumference of the circle are 11.4 ft, 22.8 ft, and 71.6283 ft, respectively.
What is a circle?A circle is a curve sketched out by a point moving in a plane so that its distance from a given point is constant; alternatively, it is the shape formed by all points in a plane that are at a set distance from a given point, the center.
Given that radius of the circle is 11 2/5 ft. Therefore, the radius of the circle in a simplified way can be written as,
The radius of the circle = 11 2/5 ft
= (11×5 + 2)/5 ft
= (55 + 2)/5 ft
= 57/5 ft
Now, the diameter and the circumference of the circle can be written as,
Diameter of circle = 2 × (Radius of the circle)
= 2 × 57/5 ft
= 114/5 ft
Circumference of circle = 2 × π × (Radius of the circle)
= 2 × π × 57/5 ft
= (114/5)π ft
Hence, the radius, diameter, and circumference of the circle are 57/5 ft, 114/5 ft, and (114/5)π ft, respectively.
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Find the volume of the candle in Exercise 4 . Round to the nearest tenth if necessary.
The volume of the candle is 36.9 cubic inches.
Given that the candle is in a circular pillar shape. That is it is in cylindrical shape.
Height of the candle, h = 6 inches
Width of the candle = Diameter of the base circle = 2.8 inches
Radius of the circle, r = 2.8/2 = 1.4 inches
We need to calculate the volume of the cylindrical candle.
Volume of a cylinder = Area of the base circle x height of the cylinder
Therefore, volume of the candle, V = [tex]\pi r^2 h[/tex]
= 3.14 x 1.4 x 1.4 x 6
= 36.9264
= 36.9 cubic inches
The question is incomplete. Find the complete question below:
A circular pillar candle is 2.8 inches wide and 6 inches tall. Find the volume of the candle. Round to the nearest tenth if necessary.
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53(2x−6)+18=23(x+3)−4.
Answer:
365/83
Step-by-step explanation:
Distribute where we can
106x - 318 + 18 =23x + 69 - 4
Get variables on one side and constants on the other
106x - 23x = 65 + 300
Do the math
83x = 365
Divide both sides by 83
365/83
Answer:
x = 365/83
Step-by-step explanation:
53(2x−6)+18=23(x+3)−4
106x-318+18=23x+69-4
106x-23x=69-4+318-18
83x = 365
x = 365/83
There is a number such that for times the number plus 3 is equal to 19. Find the number
Answer:
4
Step-by-step explanation:
let the number be n then four times the number is 4n and
4n + 3 = 19 ( subtract 3 from both sides )
4n = 16 ( divide both sides by 4 )
n = 4
then the number n is 4
Why is the slope of a vertical line undefined.
The slope of a line can be positive, negative, zero, or undefined. The horizontal line does not rise vertically (y1 − y2 = 0), so the slope is zero, but the vertical line does not extend horizontally (that is, x1 − x2 = 0), so the slope is undefined. As mentioned above, the horizontal line has zero slopes. This does not mean that the horizon has no slope. Since the horizontal line is m=0, it is represented symbolically by the expression y=b. Functions defined by horizontal lines are often called constant functions. The slope of the vertical line is undefined. Any two points on the vertical line have the same x-coordinate, so the gradient cannot be computed as a finite number according to the equation
M=(y2-y1)/(x2-x1)
This is because division by zero is an undefined operation.
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Determine the slope of the line that contains the given points.
C(3,1), D(-2,1)
The slope of the line containing (3,1) and (-2,1) is Zero(0).
The slope of a straight line can be written as follows,
m = [tex](y_{2} - y_{1} )/(x_{2} - x_{1} )[/tex] equation1
The line is containing the points (-3,3) and (4,3). So, we can write
[tex]y_{2}[/tex] = 1 , [tex]y_{1}[/tex] = 1 , [tex]x_{2}[/tex] = -2 , and [tex]x_{1}[/tex] = 3 .
On substituting the values of variables in equation1, we will get
m = ( (1)-(1) ) / ( (-2)-(3) ) = (0/(-5)) = 0.
As the slope of a line is Zero(0), so we can conclude that the given line is a straight line.
Here:
m = the slope of the line
( [tex]x_{1}[/tex] , [tex]y_{1}[/tex] ) are the first coordinates.
( [tex]x_{2}[/tex] , [tex]y_{2}[/tex] )are the second coordinates.
The slope of the line containing (7,-3) and (-8,-3) is Zero(0).
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rewrite each fraction
A. 5/20
B. 9/25
C. 6/7 - 2/5
What is the value of 4x² + 2x - 1 when x = 3/4 ? Express the answer as a decimal.
The answer is an decimal form is 2.75
In the given Statement is:
What is the value of 4x² + 2x - 1 when x = 3/4 ?
Express the answer as a decimal.
Let's Come to the solution:
4x² + 2x - 1 __(1)
Now put the value of x = 3/4 in above equation:
4 (3/4)² + 2 (3/4) - 1
Solve the equation, and get the answer
4 x (9/16) + 3/2 - 1
9/4 + 3/2 - 1
Taking the L.C.M
= [tex]\frac{9+6-4}{4}[/tex]
= 11/4
= 2.75 is the answer
Hence, The answer is an decimal form is 2.75
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Multiple the question bellow
Answer:
1
Step-by-step explanation:
We have to convert the whole number into an improper fraction :
4 = 4/1
Now we multiply the numerators together and the denominators together :
4 × 1 = 4
1 × 4 = 4
Our new fraction is 4/4 = 1
Hope this helped and have a good day
5b = .1
solve the equation
b = 0.02
divide both side by 5
Answer:
I think that B equals 0.02
deas from earlier grades
5.
On a recent test, Mark got 6 questions out of 40
wrong. Which answer best describes the percent of
questions he got correct?
a. Less than 50%
b. More than 50%
c. Less than 25%
d. More than 75%
Explain or support your choice:
Answer:
D (he got 85% right which is more than 75%)
Step-by-step explanation:
because if you half 6/40 you get 3/20, now if you x by 5 you get 100 so do the same to the top (3x5 = 15)
Now you know that he got 15/100 = 15% wrong
so if you do 100 - 15 you get 85, so he got 85% right
85% is greater than 75% so therefore it is option D
hope this helps :)
Write a flow proof.
Given: ΔQ R S /RT is isosceles with QR ≅ SR.
RT bisects QS at point T .
Prove: QRT ≅ ΔS R T
We came to the conclusion that ΔQRT ≅ ΔSRT is under the side-side-side (SSS) condition.
What accurately does "triangle congruency" mean?If all three corresponding sides are equal and all three corresponding angles are equal in measure, two triangles are said to be congruent.These triangles can be moved, rotated, flipped, and turned to look exactly the same.They will coincide if they are repositioned.Two triangles are congruent if they satisfy the five congruence conditions.They are the side-side-side (SSS), the side-angle-side (SAS), the angle-side-angle (ASA), the angle-angle-side (AAS), and the right angle-hypotenuse-side (RHS).So,
Given: ΔQRS/SRT is isosceles with QR ≅ SR; RT bisects QS at point T.
To prove: ΔQRT ≅ ΔSRT
QR = SR = GivenQT = QS = Given: (RT bisects QS at point T)RT = RT = Common baseSo, we can say that ΔQRT ≅ ΔSRT under SSS condition.
Therefore, ΔQRT ≅ ΔSRT is congruent under SSS condition.
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Solve each equation for y .
(3/4)y=15 x
After solving the equation, y = 20x is the value of y in (3/4)y=15 x
⇒ (3/4)y=15 x
⇒ y = 15x/(3/4)
⇒ y = 20x
How to solve an equation?To solve Linear equations, utilize the steps that are provided below.
Remove parentheses from each side of the equation and combine similar terms to make it simpler.To separate the variable term on one side of the equation, use addition or subtraction.To find the variable, use division or multiplication.The common denominator can be multiplied by each side of the equation to eliminate fractions.Lets take an example of solve z for 7z – (3z – 4) = 12
Here is no multiplication or division, so this will be easy to solve
⇒ 7z – (3z – 4) = 12
⇒ 7z – 3z + 4 = 12
⇒ 4z = 12 – 4
⇒ 4z = 8
⇒ z = 8/4
⇒ z = 2
See, that was so simple, using the mentioned methods, every linear equation can be solved easily.
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If w = 22, what is the value of 4w − 12?
Answer: 76
Step-by-step explanation:
4 * 22 = 88
88-12 = 76
Evaluate each expression. Determine if the final simplified form of the expression is positive or negative.
HELP PLEASE!!
The values of the square numbers are:
a. -16
b. 16
c. 16
How to evaluate the valuesFrom the information given, we have the following expressions;
-4²(-4)²4²Let's write the squares in simpler form
-4² = - (4 × 4)
This is so because the square was only assigned to 4 and not the negative sign
(-4)² = - 4 × - 4
This is so because the square was assigned to both the negative sign and 4
4² = 4 × 4
This is so because the square was assigned to 4
Now, we have
- (4 × 4) = -16
- 4 × - 4 = 16
4 × 4 = 16
Thus, the values are - 16, 16 and 16 respectively.
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A certain species of fish costs $5.49 each. You can spend no more than $30. How many of this type of fish can you buy for your aquarium?
Suppose f(x)=2 x-5 and g(x)=|-3 x-1| Find the value. g(2)-f(0)
Suppose f(x)=2 x-5 and g(x)=|-3 x-1| Find the value. g(2)-f(0)
g(2)- f(0) = 12
Given:
f(x)=2 x- 5
g(x)=|-3 x-1|
To find g(2), substitute x=2 in g(x).
g(x)=|-3 x-1|
g(2)=|-3 (2)-1|
=|-6-1|
=|-7|
g(2) = 7
To find f(0), substitute x=0 in f(x).
f(x)=2 x- 5
f(0)=2(0)- 5
f(0) = -5
Now, g(2)-f(0) =7-(-5)
=7+5
=12
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Please help if you can
A professor expects the education and health service industries to increase total employees by 14.8% from 2009 to 2016. Based on the employment graph below, approximately how many new jobs will the education and health service industries gain between 1/2009 and 1/2016?
Education and Health Services - All Employees, 2000-2009
A line graph titled Education and Health Services, All Employees, 2000 to 2009, where the x-axis shows years and the y-axis shows all employees, in thousands. Line starts at 15,000 on January 2000, and increases gradually to 16,000 on January 2002, 17,200 on January 2005, 18,100 on January 2007, and 19,200 on January 2009.
The number of new jobs gained is 2,842.
How many new jobs are gained?A graph can be described as a pictorial representation of data. A graph is made up of a x-axis and a y-axis.
Percentage can be described as a fraction of an amount expressed as a number out of hundred. The sign used to represent percentage is %.
Percentage increase from 2009 to 2016 = percentage increase x number of employees in 2009
14.8% x 19,200
0.148 x 19,200 = 2,842
Here is the complete question:
A professor expects the education and health service industries to increase total employees by 14.8% from 2009 to 2016. Based on the employment graph below, approximately how many new jobs will the education and health service industries gain between 1/2009 and 1/2016?
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Answer:
c. 16,273,200
Step-by-step explanation:
Edge 2022
Evaluate each logarithm. log₃ 1/27
In mathematics, the logarithm is the reciprocal of a power. This means that the logarithm of a given number x is the exponent by which another fixed number (the base b) must be increased to get that number x. The simplest logarithm counts the number of times the same element occurs when multiplying repeatedly. The logarithm of x to base b is denoted by log b (x), or log b x without parentheses. Also, if confusion is impossible or the base doesn't matter, log x shows that even without an explicit base: B. In big O notation.
Solution:
Your problem → log (3,1/27)
log (3, (127)) =-3
Solution steps:
=log (3,127)
=log (3,0.037037)
=log3(0.037037)
=-3
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4. A conveyor belt moves at a constant rate
of 12 feet in 3 seconds. A second conveyor
belt moves 16 feet in 4 seconds. guys help !!!!
Solution :
Yes, the conveyors are in a proportional relationship.
Given,
A conveyor belt moves at a constant rate of 12 feet in 3 seconds.
A second conveyor belt moves 16 feet in 4 seconds.
There is a proportional relationship if the ratios of each pair of values are the same.
- First conveyor belt
12 feet in 3 seconds.
Ratio = 12 / 3 = 4
- Second conveyor belt
16 feet in 4 seconds.
Ratio = 16 / 4 = 4
Ratios are the same.
4 = 4
Thus the conveyors are in a proportional relationship.
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The age of a woman is four times the age of her daughter. Five years h:t 1ce, the age of the woman wili be three times the age of her daughter. What is the present age of the daughter
The present age of the daughter is 10 years old.
How to find the age of the daughter?The age of a woman is four times the age of her daughter.
let
x = age of the daughter
Therefore,
age of the woman = 4x
Five years later, the age of the woman will be three times the age of her daughter.
Therefore,
4x + 5 = 3(x + 5)
4x + 5 = 3x + 15
4x - 3x = 15 - 5
x = 10
Therefore, the present age of the daughter is 10 years old.
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the product of two consecutive number is 18 more than 8 times a number
Using algebra, The product of two consecutive numbers is 18 more then 8 times a number
What is Algebra ?Roughly speaking, algebra is the study of mathematical symbols and the rules for manipulating these symbols in formulas; it is a unifying thread of almost all of mathematics
The two consecutive numbers are :
x and x+1
x(x+1) = 8(x+1) + 18
x^2 + x = 8x + 8 + 18
x^2 + x = 8x + 26
x^2 + x - 8x - 26 = 0
x^2 - 7x - 26 = 0
Substitute a=1,b=−7 and c=−26 into the quadratic formula
- B ± √ B2-4AC
x = ————————
2A
Accordingly, B^2 - 4AC = 49 - (-104) = 153
Applying the quadratic formula :
7 ± √ 153
x = —————
2
x = ( 7 ± 3 × 4.123 ) / 2
Two real solutions:
x =(7+√153)/2=(7+3√ 17 )/2= 9.685
or:
x =(7-√153)/2=(7-3√ 17 )/2= -2.685
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This can be represented by the equation y = 30(0.92)d, where y is the number of phone calls after d days. how many phone calls should she expect after a week?
From the given equation y = 30(0.92)d, she should expect 193 phone calls after a week.
An algebraic expression is a number, variable, or the combination of both and operational symbols. On the other hand, an equation is the equality of two expressions separated by "="..
If the number of phone calls she should expect can be represented by the equation y = 30(0.92)d, where y is the number of phone calls after d days, then we can calculate the expected amount phone calls after a week.
To determine how much phone calls she should expect after a week, substitute the value of d.
y = 30(0.92)d
where d = 1 week = 7 days
y = 30(0.92)(7)
y = 193.2
Rounding off to the nearest whole number,
y = 193
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The difference between the product of eight and 47 the quotient of seven and five
Answer:
268.571429
Step-by-step explanation:
