The information that June says that there should be a decimal point in the quotient below after the 4 is incorrect.
How to illustrate the information?From the information given, it should be noted that it's important to find the division. This will be:
= 43.94 / 5.2
= 8.4.5
Based on the information, June says that there should be a decimal point. It should be noted that from the question, the decimal wasn't illustrated.
Therefore, June is incorrect. This is because the decimal is before 4.
The complete question is written below.
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Given that June says that there should be a decimal point in the quotient below after the 4. The number given is 43.94/5.2 = 845 is she correct?
Find the equation of the line that goes through the points (-15,70) and (5,10).
[tex](\stackrel{x_1}{-15}~,~\stackrel{y_1}{70})\qquad (\stackrel{x_2}{5}~,~\stackrel{y_2}{10}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{10}-\stackrel{y1}{70}}}{\underset{run} {\underset{x_2}{5}-\underset{x_1}{(-15)}}} \implies \cfrac{-60}{5 +15} \implies \cfrac{ -60 }{ 20 } \implies - 3[/tex]
[tex]\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{70}=\stackrel{m}{- 3}(x-\stackrel{x_1}{(-15)}) \implies y -70= -3 (x +15) \\\\\\ y - 70 = -3x - 45\implies {\Large \begin{array}{llll} y = -3x+25 \end{array}}[/tex]
Points A and B are on a circle with centre O and radius n so that AOB = (360/n). Sector AOB is cut out of the circle. Determine all positive integers n for which the perimeter of sector AOB is greater than 20 and less than 30
The integer n = 25 is the only value so that the sector AOB is greater than 20 and less than 30.
How to find the positive integers associated to the diameter of a circle
In this problem we find the sector generated by line segments OA and OB, where O is the center of the circle and the points A and B are on the circle:
20 < 360 / n < 30
20 · n < 360 < 30 · n
First, we determine the factorial decomposition of 360:
360 = 2³ × 3² × 5
Second, find the value of n associated to each limit of the inequality:
Lower limit
360 = (2² × 5) × (2 × 3²)
360 = 20 × 18
n = 18
Upper limit
360 = (2 × 3 × 5) × (2² × 3)
360 = 30 × 12
n = 12
Third, find the values that are between 12 and 18:
x = 2³ × 3
x = 24
n = 360 / 24
n = 15
The only integer that satisfies the inequality is 15.
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please please answer
1: which measure represents the SA (surface area) in square inches, of the right square pyramid.
a:196
b:217
c:322
d:385
- — - — - - - - - - — — - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -—
The total surface area of the prism is 217 square inches.
In geometry, a prism is a polyhedron with n sides made of polygons, a second base that is a translation of the first base, and n additional faces that must all be parallelograms and connect the effective distribution of the two bases.
The bases are translated into all cross-sections that are parallel to them.A solid object's surface area is a measurement of the overall space that the object's surface takes up.The base is a square with area = 49 square inches
Length of 1 side = √49 = 7 inches
Area of the triangular sides is given by the formula (1/2) × base × height
Area of each side
= (1/2) × base × height
= (1/2) × 7 × 12
= 42 square inches.
Total surface area
= 42 × 4 + 49
=217 square inches
Therefore the total surface area is 217 square inches
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Solve the equation b over 24 equals negative 6 for b.
Answer:
b=-144
Step-by-step explanation:
b/24=-6
cross multiplication
b=24×-6
=-144
←
The formulas below are the cost and revenue functions for a company that manufactures and sells small radios.
C(x)=90,000 +42x and R(x) = 47x
a. Use the formulas shown to write the company's profit function, P, from producing and selling x radios.
b. Find the company's profit if 23,000 radios are produced and sold.
***
Answer:
(a) The profit function is P(x) = 89x - 90,000.
(b) The company's profit at x=23,000 is 1,957,000.
Step-by-step explanation:
Given,
The cost function of the company is C(x)=90,000 +42x and
The revenue function is R(x) = 47x
where x is the number of radios.
(a)
The company's profit function, P, is from producing and selling x radios is
The formula for profit:
Profit (P) = Revenue (R) - Cost (C)
P = R - C
P = 47x - 90,000 + 42x
P = (47x + 42x) - 90,000
P = 89x - 90,000
For (a), The company's profit function, P, from producing and selling x radios is P = 89x - 90,000
(b)
The radios produced and sold are 23,000
So, x = 23,000
putting x value in the profit function, P
P = 89x - 90,000
P = 89 x 23,000 - 90,000
P = 2,047,000- 90,000
P = 1,957,000
For (b), the company's profit at x = 23,000 is 1,957,000.
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At their going out business sale, Bill’s Bikes sold 36 bikes and had 58 left. Which equation could be used to find x, the number of bikes the store had originally.
The equation that could be used to find x, the number of bikes the store had originally, is (x-94) = 0.
According to the question,
We have the following details:
Bill has sold 36 bikes and is left with 58 bikes more.
Now, the number of bikes the store had originally is given to be x.
So, we have:
x = Number of bikes sold + Number of bikes left
x = 36+58
x = 94
x-94 = 0 (94 was positive on the right hand side. So, it is negative on the left hand side.)
Hence, the equation that could be used to find number of original bikes in Bill's store is x-94 = 0.
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Find the values of the variables and the measure of the angles.
Since ∠GFE is a right triangle, we can conclude:
[tex]\begin{gathered} b+32=90 \\ b=90-32 \\ b=58 \end{gathered}[/tex]the sum of the internal angles of a triangle is 180, therefore, for the triangle GHF:
[tex]\begin{gathered} 55+a+b=180 \\ \text{ Since b=58} \\ 55+a+58=180 \\ a+113=180 \\ a=67 \end{gathered}[/tex]Finally, for the triangle GEF:
[tex]\begin{gathered} a+90+d=180 \\ 67+90+d=180 \\ 157+d=180 \\ d=180-157 \\ d=23 \end{gathered}[/tex]
Tell whether x and y show direct variation. Explain your reasoning if so, find k
y+3=x+6
yes; The equation can be written as y=kx, k = 1
yes; The equation can be written as y = kx, k = 3
No The equation can be written as y
kx, k = 9
no; The equation cannot be written as y = kx.
Answer:
A
Step-by-step explanation:
I just need points bro, Bob bob bob bob bob bob bob bob bob
The information is in the photo. Please help. Goodnight .
The ratio of hexagons to triangles is 2/1.
What are Ratios?The ratio is the relationship or comparison between two amounts of the same unit to determine how much larger one number is than the other. A ratio is a mathematical term that compares two comparable or dissimilar numbers by division. If you want to compare one data point (A) to another data point (B), your formula would be A/B.Given:
In the figure,
Number of hexagons = 4
Number of triangles = 2
We have to determine the ratio of hexagons to triangles.
Ratio = Number of hexagons/Number of triangles
Ratio = 4/2
Reducing it we get,
Ratio = 2/1
Therefore, the required ratio is 2/1.
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Determine the slope of a line passing through the given points. If the slope is undefined, write undefined. Enter your answer as a decimal if necessary. a. ( 5 , − 4 ) and ( 0 , 1 ) b. ( − 1 , 8 ) and ( 7 , 10 ) c. ( − 4 , 12 ) and ( − 4 , 5 ) Tools are not currently accessible
The slope of the given line that runs through the points are:
1. Defined
2. Defined
3. undefined.
What is an Undefined Slope of a Line?An undefined slope of a line can be described as the slope of a vertical line that has no run but only rise. That is, the x-coordinates do not change even though the y-coordinates of the line are changing.
Thus, the change in x-coordinates is always 0.
Slope = change in y / change in x.
a. (5 , − 4) and (0 , 1):
Slope = (-4 - 1)/(5 - 0)
Slope = -5/5 = -1 [the slope is defined]
b. (−1 , 8) and (7 , 10):
Slope = (10 - 8)/(7 -(-1))
Slope = 2/8
Slope = 1/4
c. (-4, 12) and (-4, 5)
Slope = (12 - 5)/(-4 -(-4))
Slope = 7/0 [cannot divide, therefore, the slope is undefined]
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The profit for a certain commodity, n, where n is in units, is given by the functionP(n) =25n^2 + 300n + 1125At the break-even point, the profit is zero, i.e., P(n) = 0. Find the number of units where the break-even point is located, i.e., find n when P(n) = 0.The number of units, n, where the break-even point is located, isHint: Did you factor the GCF? Then reduce your equation to smaller coefficients?
Given the function:
[tex]P\mleft(n\mright)=-25n^2+300n+1125[/tex]You know that "P" is the profit for a certain "n" commodity (in units).
You need to find the value of "n" when:
[tex]P(n)=0[/tex]In order to find it, you can follow these steps:
1. Substitute this value into the function:
[tex]P(n)=0[/tex]Then:
[tex]\begin{gathered} 0=-25n^2+300n+1125 \\ \\ -25n^2+300n+1125=0 \end{gathered}[/tex]2. Divide both sides of the equation by -25:
[tex]\begin{gathered} \frac{-25n^2}{(-25)}+\frac{300n}{(-25)}+\frac{1125}{(-25)}=\frac{0}{(-25)} \\ \\ n^2-12n-45=0 \end{gathered}[/tex]3. Factor the equation by finding two numbers whose Sum is -12 and whose Product is -45. These are 3 and -15, because:
[tex]\begin{gathered} 3-15=-12 \\ \\ (3)(-15)=-45 \end{gathered}[/tex]Then:
[tex](n+3)(n-15)=0[/tex]4. Set up these two equations:
[tex]\begin{gathered} n+3=0\text{ (Equation 1)} \\ \\ n-15=0\text{ (Equation 2)} \end{gathered}[/tex]5. Solving form "n" from each equation, you get:
[tex]\begin{gathered} n+3=0\text{ }\Rightarrow n_1=-3 \\ \\ n-15=0\Rightarrow n_2=15 \end{gathered}[/tex]Since the number of units cannot be negative, the answer is:
[tex]n=15[/tex]given f(x) = -x -4 find f (-2)
Answer:
-2
Step-by-step explanation:
f(-2) = -(-2) - 4
= 2-4
= -2
Find the volume of a cone with a base radius of 5 ft and a height of 10 ft.
Write the exact volume in terms of it, and be sure to include the correct unit in your answer.
The volume of cone is 261.79 ft³
Solution:
To solve Volume of cone we need radius and height of cone,
Base Radius of cone = 5 ft
Height of cone = 10 ft
Formula for Volume of cone V = π r² h/3
So,
The radius of cone is 5ft and
height of cone is 10ft ,
Volume V= π × 5ft² × 10ft/3
= 261.79939 ft³
Equation :
V = π r² h/3V= volume , π= 3.14 , r= radius , h= heightTo learn more about Volume of cone refer:
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Write an inequality that represents the velocity of an object that has a mass of 30 kilograms and creates a momentum of at least 15 kg(m/s)
The inequality that represents the velocity of an object that has mass of 30 Kg and creates a momentum of at least 15 Kg(m/s) is 15 ≥ 30×v .
The relation between the mass(m) of an object with momentum(p) and velocity(v) is given by the equation
p=m × v .
In the question,
it is given that
the mass of the object = 30 Kg
the momentum required is at least 15 Kg(m/s).
let the velocity of the object " v " .
Substituting values in the formula ,
we get ,
15 = 30×v
the word at least in inequality is represented by " ≥ " .
So , the inequality becomes
15 ≥ 30×v
Therefore , the inequality that represents the velocity of an object that has mass of 30 Kg and creates a momentum of at least 15 Kg(m/s) is 15 ≥ 30×v .
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Solve the word problem below. Enter your answer, using the slash (/) as the
fraction bar.
Students were asked to choose their favorite season and 3/10 chose either spring or summer. If 1/10 chose spring, what fraction chose summer? (Please show a solution)
When asked which season they preferred, just 3/10 of the students selected either spring or summer. 2/5 fraction went with summer if 1/10 chose spring.
Given that,
When asked which season they preferred, just 3/10 of the students selected either spring or summer.
We have to find what fraction went with summer if 1/10 chose spring.
To find the fraction we have to add the students selected in spring or summer.
3/10+1/10
Denominator are equal numerator can add
(3+1)/10
By adding
4/10
By doing the division
2/5
Therefore, the fraction is 2/5.
2/5 fraction went with summer if 1/10 chose spring.
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Solve the following Radical Equation (Square root). Show all work.
the lenght of a flower is 529 cm covet it to m
If f(x)=5x^2-x-4 and g(x)=x-6What (f+g)(x)=And(f+g)(9)=
Explanation
given
[tex]\begin{gathered} f(x)=5x^2-x-4 \\ g(x)=x-6 \end{gathered}[/tex]Step 1
a) (f+g) (x)
here we need to find a new function ( f+g) (x), this is the sum of the functions f and g, so to find it just add g(x) to f(x)
hence
[tex]\begin{gathered} (f+g)(x)=5x^2-x-4+x-6 \\ add\text{ like terms} \\ (f+g)(x)=5x^2-10 \end{gathered}[/tex]so
[tex](f+g)(x)=5x^{2}-10[/tex]Step 2
now, we have to evaluate that function for x= 9
so
[tex]\begin{gathered} (f+g)(x)=5x^{2}-10 \\ evaluate\text{ for x=9} \\ replace\text{ and calculate} \\ (f+g)(9)=5(9)^2-10 \\ (f+g)(9)=5(81)-10=405-10 \\ (f+g)(9)=395 \end{gathered}[/tex]so
[tex](f+g)(9)=395[/tex]I hope this helps you
What is AC?
A √162 = 12.7
B√98 = 9.9
C√117 ≈ 10.8
D√72 = 8.5
The most appropriate choice for distance formula will be given by Length of AC = [tex]\sqrt{72} = 8.5 units[/tex]
What is distance?
Distance is a measurement of how far apart two objects or points are, either numerically or occasionally qualitatively. Distance can refer to a physical length in physics or to an estimate based on other factors in everyday language (e.g. "two counties over").
What is distance formula?
Distance formula is used to find the distance between two points.
Let A and B be two points with coordinate [tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex] respectively
Distance between A and B = [tex]\sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2[/tex]
Here,
Coordinate of A = (1, 1)
Coordinate of E = (4, 4)
Coordinate of C = (7, 7)
Length of AE =
[tex]\sqrt{(4-1)^2 + (4-1)^2}\\\sqrt{9 + 9}\\\sqrt{18}\\3\sqrt{2} units[/tex]
Length of EC =
[tex]\sqrt{(7-4)^2 + (7-4)^2}\\\sqrt{9 + 9}\\\sqrt{18}\\3\sqrt{2} units[/tex]
Length of AC = Length of AE + Length of EC
= [tex]3\sqrt{2} + 3\sqrt{2} = 6\sqrt{2} units[/tex] =[tex]\sqrt{72} units = 8.5 units[/tex]
Fourth option is correct
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HELP ASAP Arrange the dot plots in descending order based on standard deviation
Answer:
its true because standard deviation is the only way out to find any solution
what is 3 (6+99) - 45
Given:
[tex]3(6+99)-45[/tex]H(-1, 3), X(7, -1) midpoint
Answer: (3,1)
Step-by-step explanation:
In triangle XYZ, angle Y is right and sin X =5/13. Which of the following trig. Ratios are correct?
In triangle XYZ, angle Y is right and sin X =5/13 the correct trigonometry ratios are
tan Z = 12/5cos Z = 5 / 13How to determine the correct trigonometry ratioInformation given in the question include
In triangle XYZ
angle Y
sin X = 5 / 13
A right angle triangle has three sides namely Adjacent, Opposite and Hypotenuse
from Sin X = opposite = Hypotenuse = 5 / 13
we have that
opposite = 5
Hypotenuse = 13
Using Pythagoras theorem
Hypotenuse^2 = opposite^2 + Adjacent^2
13^2 = 5^2 + Adjacent62
Adjacent = √(169 - 25)
Adjacent = 12
The correct options are tan Z = 12/5 and cos Z = 5 / 13
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Use the remainder theorem to find the remainder when 3x^4 - 5x^2 - 20x + 8 is divided by x - 1.-414-140
SOLUTION
The given equatiion is:
[tex]3x^4-5x^2-20x+8[/tex]To be divided by x-1
set the expression to zero:
[tex]\begin{gathered} x-1=0 \\ x=1 \end{gathered}[/tex]Substitute x=1 into the polynomial:
[tex]3(1)^4-5(1)^2-20(1)+8[/tex]This gives:
[tex]3-5-20+8=-14[/tex]Therefore the remainder is -14.
8% turned into a fraction
Answer: 0.8
Step-by-step explanation: 0.8 as a fraction is expressed as 4/5
hope this helps
Answer: 2/25 or 8/100.
Step-by-step explanation:
Which angle pairs include the named angle?
Ashley saved money every month last year. The table below shows how much money she saved each month.
Dollars Saved
Month Money Saved (in dollars)
January
96
February
38
March
162
April
65
May
178
June
112
July
57
August
143
September
135
October
104
88
22
November
December
What is the mean absolute deviation of amounts she saved?
A.18
B.39
C.23
D.156
The mean absolute deviation of the amount $39
What is Mean Absolute Deviation?
The average distance between each data value and the mean is known as the mean absolute deviation (MAD) of a data set. A measure of variance in a data set is the mean absolute deviation. We may determine how "spread out" the values in a data collection are by looking at the mean absolute deviation.
Given,
The amount she saved throughout the year
January 96
February 38
March 162
April 65
May 178
June 112
July 57
August 143
September 135
October 104
November 88
December 22
The mean of the data will be = 96+38+162+65+178+112+57+143+135+104+88+22/12
= 1200/12
=100
The mean would be 100
|data - mean value| = 96-100 = 4
38-100 = 62
162-100 = 62
65-100 = 35
178-100 = 78
112-100 = 12
57-100 = 43
143-100 = 43
135-100= 35
104-100 = 4
88-100 = 12
22-100 = 78
Now, sum of |data - mean values| = 468
The mean absolute deviation:
= sum of |data - mean values| / number of values
= 468 / 12
= 39
Hence, the mean absolute deviation of amounts she saved is $39
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Rewrite as a simplified fraction.3.16
The decimal number 3.16 in the form of the simplest fraction is 79/25.
The portion or part of the complete item is represented by a fraction. It stands for the equal components of the whole. The denominator and numerator are the two components of a fraction. The top number is referred to as the numerator, and the bottom number is referred to as the denominator.
Consider the decimal number,
Let x = 3.16
Then,
x = 3.16 = 316/100
The fraction then can be simplified as,
x = ( 158 × 2)/ (50 × 2)
x = 158/50
x = ( 79 × 2)/ ( 25 × 2 )
x = 79/25
Hence, the number 3.16 in the simplest fraction is 79/25.
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y+3 = 2(x+3) how do i solve it
Answer 2xy3
Step-by-step explanation: you basic combine 2(x+3) to get 2x + 6
Thaddeus wants to attend a sports camp this spring that costs $180.00 for the week. He rakes leaves during the fall and earns
$58.35. He shovels snow during the winter and earns $82.80. How much more money does Thaddeus need to earn to pay for
the sports camp? Write your answer as a decimal.
Thaddeus needs to earn $
Answer:
$38.35
Step-by-step explanation:
take $180 subtract $58.35 that will leave you with $125.65 then subtract $82.80 then that will leave you with $38.35
