The diameter of the ball in real life given the scale of the drawing is 150cm.
What is the scale of the drawing?A scale drawing is a reduced form in terms of dimensions of an original image / building / object
Scale of the drawing = original dimensions / dimensions of the scale drawing
10cm x 15 cm - 150cm
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The area of a rectangular school yard is 3,195 square meters. The perimeter is 232 meters. What are the dimensions of the school yard?
Answer:
71 m x 45 m
Step-by-step explanation:
Length = x, Width = y
x * y = 3,195
2(x + y) = 232, so
x + y = 232/2 = 116, they y = 116 - x
x * (116 - x) = 3,195
116x - x² = 3,195
x² - 116x +[tex]x = \frac{116\pm\sqrt{116^2-4*3195}}{2}[/tex] = 71, 45
so x = 71, y = 45
The table shown lists random points found on a coordinate plane.
Using a minimum of three points, create two linear functions. Prove the line created works exclusively with the three points by justifying how the x-value and y-value fit into the equation for the line.
The two lines created from the points (0, 10), (2, 7) and (-3, -3) works
exclusively with the three points as presented in the the attached graph.
Which methods can be used to obtain linear functions?
The possible value in the table obtained from a similar question is presented as follows;
[tex]\begin{array}{|lcl|}(-1, \, 1)&&(2, \, 7)\\(-4, \, 8)&&(2, \, 11)\\(0, \, 10)&&(-3, \, -3)\end{array}\right][/tex]
A line is defined as the shortest distance between two points.
Taking the points (0, 10) and (-3, -3), we have;
[tex]Slope = \dfrac{10 - (-3)}{0 - (-3)} = \dfrac{13}{3}[/tex]
Which gives;
[tex]y -10 = \dfrac{13}{3} \times x[/tex]
[tex]y = \dfrac{13}{3} \cdot x + 10[/tex]
From the attached graph, the points (-1, 1), (2, 7), (2, 11), and (-4, 8) are not on the line.
The linear function, [tex]y = \dfrac{13}{3} \cdot x + 10[/tex] works exclusively for the points (0, 10) and (-3, -3), given that the coordinates of points on the line are; (-1, [tex]5\frac{2}{3}[/tex]), (2, [tex]18\frac{2}{3}[/tex]), (-4, [tex]-7\frac{1}{3}[/tex])
Second line
Taking the points (2, 11) and (-3, -3), we have;
[tex]Slope = \mathbf{\dfrac{11 - (-3)}{2 - (-3)}}= \dfrac{14}{5} = 2.8[/tex]
Which gives;
[tex]y - (-3) = 2.8\times (x - (-3)) = 2.8 \cdot x + 8.4[/tex]
y = 2.8·x + 8.4 - 3 = 2.8·x + 5.4
Which gives;
y = 2.8·x + 5.4
The line, y = 2.8·x + 5.4, works exclusively for the points (2, 11) and (-3, -3), given that the points (2, 7), (2, 11), (0, 10), and (-3, -3) are not on the line
The coordinates of points on the line are; (-1, 2.6), (-4, -5.8), and (0, 5.4).
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A(t) of a sample of uranium-240 remaining (in grams) after t hours is given by the following exponential function. At = 3200(1/2) t/14 Find the initial amount in the sample and the amount remaining after 60 hours. Round your answers to the nearest gram as necessary.
Just calculator work
Step-by-step explanation:
MARK ME AS A BRAINLISTConvert 3 days into minutes.
Answer:
4320
Step-by-step explanation:
We need to multiply the time value by 1440, so 3 x 1440 = 4320.
A single fair die is tossed twice in succession. Determine the probability of getting a three on the first toss and an even number on the second toss.
Star Wars is showing in two adjacent theaters. One
theater sells 80 adult tickets and 50 child tickets and
collects $1310. The other theater sells 98 adult tickets and
50 child tickets and collects $1526. What is the cost for
each adult ticket and each child ticket? Write and solve a
system of equations.
Answer:
700$
Step-by-step explanation:
if A and B are events with P(A) = 0.2, P(A OR B) = 0.61, and P(A AND B) = 0.19, find P(B).
Answer:
0.41
Step-by-step explanation:
p (A) = 0.2
P (B) =?
P (A or B) = 0.61
but P (A or B) = P (A) + P (B)
therefore P(B) = P (A or B) - P(B)
= 0.61 - 0.2
= 0.41
f(x) = 3x + 6. Find the inverse of f(x).
Answer:
[tex]\tt C) \:\tt f^{-1}(x)=\cfrac{x-6}{3}[/tex]
Step-by-step explanation:
We're given,
[tex]\tt f(x) = 3x + 6[/tex]
~
[tex]\tt y=3x+6[/tex]
[tex]\tt x=3y+6[/tex]
[tex]\tt x-6=3y[/tex]
[tex]\tt y=\cfrac{x-6}{3}[/tex]
[tex]\tt f^{-1}(x)=\cfrac{x-6}{3}[/tex]
~
which graph shows all the values that satisty ğ x+3545?
X+ 3
-10
10
+
-10
10
5
0
5
10
10
10
-5
Answer:
Which graph shows all the values that satisty ğ x+3545? X+ 3 -10 10 + -10 10 5 0 5 10 10 10 -5 - did not match any documents.
Suggestions:
Make sure all words are spelled correctly.
Try different keywords.
Try more general keywords.
Try fewer keywords.
Step-by-step explanation:
Move the numbers to the lines to order them from least to greatest.
least
greatest
4.8
3.95
3.41
4.02
Answer:
4.8 because it's a bigger than the other three numbers
4.02
3.95
3.41
Jim’s pay is £240 each week. Jim asks his boss for an increase of £40 a week. Jim’s boss offers him a 15% increase. Is the offer from Jim’s boss more than Jim asked for?
You must show your working.
40 / 240 is 1 / 6 which is 16.6666666667%, 15 is slightly less so the offer is NOT more than what jim asked for
A car enthusiast learns that a particular model of car, which costs $34,411 new, loses 25% of its value every year. How much will the car be worth in 6 years?
The worth of the car in 6 years would be $25,808.25.
What will be the worth of the car in 6 years?The car is depreciating with the passage of time. When an asset depreciates, it costs less and less as a result of decline in value.
The exponential equation that can be used to determine the value of the car is:
Value of the car in 6 years = value of the car today x (1 - loss in value)^number of years
= $34,411 x (1 - 25%/100)
$34,411 x (1 - 0.25)
$34,411 x 0.75 = $25,808.25
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Nadia is selling tickets for a school event. She has already sold 17 tickets. Her goal is to sell at least 100 tickets. Each day she is able to sell up to 10 tickets. What is the minimum number of days Nadia will need to sell tickets to reach her goal?
Answer:
9 days is neeeded for Nadia to reach her goal
(6.) The point A(-5,12) lies on the circle whose equation is x + y2 = 169. What is the secant of
an angle drawn in standard position whose terminal rays passes through A?
The secant of the angle through a point (-5, 3) is -13/5
Equation of a circleThe equation of a circle with center (0,0) is given by
x² + y² = r² where r = radius of circle
Now, comparing this to the equation of the given circle x² + y² = 169,
⇒ r² = 169
r = √169
r = 13
Secant of angle
The secant of the angle through a point (x, y) is secФ = r/x where
r = radius of circle and x = x-coordinate of pointNow for the point A(-5,12), x = -5.
Since r = 13
secФ = r/x
= 13/-5
= -13/5
So, The secant of the angle through a point (-5, 3) is -13/5
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Answer:
Step-by-step explanation:
Marcus is 48 inches tall. If Marcus is 2/3 of his
older brother's height, how tall is his older brother?
Answer:
48=2/3
48×3÷2= Marcus older brother height
72 inches
Joshua has 390 photos. He pasted 6 photos in each page. How many pages does
he need to paste all the photos?
Answer:
65
Step-by-step explanation:
Joshua has 390 photos, you need to divide that number by the each amount of photos in each page to figure out how many pages he needs to paste all them.
So you'd divide it like. 390 / 6
And that gives you 65.
Answer:
65
Step-by-step explanation:
It is 360 divided by 6 and you will get 65 (if you need help with long division contact me)
The diameter of a basketball rim is 45 centimeters. What is the measurements around the rim. Use 3.14 for π.
Answer: 141.3
Step-by-step explanation:
I got it correct
Two parallel lines were cut by a transversal. Which of the following scenarios is NOT a possible result?
Question 1 options:
A a pair of supplementary angles with measures of 105° and 75°
B a pair of alternate exterior angles with measures of 72° and 72°
C a pair of corresponding angles with measures of 30° and 30°
D a pair of same side interior angles with measures of 50° and 50°
Answer:
Option DStep-by-step explanation:
The first three options are correct.
The last option is incorrect as same side interior angles are supplementary, so they should sum to 180° but in the given option their sum is 100°.
Answer:
D
Step-by-step explanation:
Smae side interior angles are supplementary i.e they have sum 180°
If one is 50°
Then other one must be 180-50=130°
PLEAS GIVE THE APPROPRIATE ANSWERS
Answer:
Page 1 Answer: [tex]\frac{9}{5}[/tex]
Page 2 Answer: 175
Page 3 Answer: Alicia used 1.5 gallons to travel a distance of 37.5 miles.
Page 4 Answer: I think its 117 but I could be wrong...
Step-by-step explanation:
Page 1:
We just simplify [tex]\frac{36}{20}[/tex] by dividing and get 9/5
Page 2: Since they want to DOUBLE her amount in her savings, we double her current amount (125) and get 250 by adding.
Next, we subtract 125 from 300 in her checking and get 175.
Page 3:
We use the titles so solve the graph.
Answer:
Step-by-step explanation:
Expression 1:
b) [tex]\frac{36}{20} =\frac{36/4}{20/4}=\frac{9}{5}[/tex]
Gabrielle:
$125 * 2 = $250
300 - 125 = $175
c) $175 will be her new checking account balance.
Alicia:
d) Alicia used 1.5 gallons to travel a distance of 37.5 miles.
Kenneth:
Area of a triangle: A = 1/2*b*h (base = 6, height = 6)
A = 1/2 * 6 * 6
A = 1/2 * 36
A = 18 square inches
Since there are two triangles, it would be 18 * 2 = 36 square inches
Area of a rectangle: A = l*w (length = 9, width = 9)
A = 9 * 9
A = 81 square inches
Add the two areas together:
b) 36 + 81 = 117 square inches
Hope this helps!
Please help me solve this
Answer:
Step-by-step explanation:
[g . h[(x) = -8(2x + 3) = -16x - 24
[h . g](x) = 2(-8x) + 3 = -16x + 3
Option B: More accurate and efficient financial reporting (such as a reduction in human errors and increased productivity).
As the owner of a medium to a large company, new technologies such as AI can be used to support daily operations because of Option B. More accurate and efficient financial reporting (such as a reduction in human errors and increased productivity).
What is AI (Artificial Intelligence)?Artificial intelligence (AI) is an algorithm that gives a robot or computer the ability to undertake tasks normally done by human beings.
The tasks were previously required human intelligence and discernment but can now be handled by a robot or a computer.
Question Completion:Artificial Intelligence (AI) is not a new phenomenon, but it is still a growing concern for many industries. While the human element remains the most important factor in most businesses, the accounting industry is not exempt from the threat of new technologies. If you were the owner of a medium to a large company, how could you use new technologies such as AI to support your daily operations? Select and discuss one of the options below.
Answer Options:Option A: Cost savings associated with payroll and other personnel costs (i.e. training and development, employee hiring)
Option B: More accurate and efficient financial reporting (i.e. reduction in human errors, increased productivity)
Thus, AI enables accurate and efficient financial reporting with increased productivity.
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8
Find the mZYXZ.
Please help!!
Answer:
Step-by-step explanation:
SEE EXAMPLE p. 323 Find each measure. 3. NA 4. XZ. ... Find each measure. 3. NA 4. XZ 10.2 5. NZ 5.6 M M 7. mZYXZ 6. m LMN 8. mZXLM N 29° Z ...
Which of the following is the function rule for the function ((0,-2),(1,0),(-1,-4))?
y = x-1
y = 4x + 2
y= 2 x - 2
y=3 x-3
compare, using subtraction and division, the amount of sugar used in two recipes, if Recipe 1 used two and two thirds (2 2/3) cups and Recipe 2 used one and a half (1 1/2) cups. Show your calculations and then write your answers as sentences.
Answer:
Recipe 1 used [tex]1\frac{7}{9}[/tex] times as many cups and [tex]1\frac{1}{6}[/tex] more cups than Recipe 2.
Step-by-step explanation:
By subtraction:
2 [tex]\frac{2}{3}[/tex] - 1 [tex]\frac{1}{2}[/tex]
[tex]\frac{8}{3}[/tex] - [tex]\frac{3}{2}[/tex]
[tex]\frac{8*2}{3*2}[/tex] - [tex]\frac{3*3}{2*3}[/tex]
[tex]\frac{16}{6}-\frac{9}{6} = \frac{7}{6} =1\frac{1}{6}[/tex] cups more
By division:
2 [tex]\frac{2}{3}[/tex] / 1 [tex]\frac{1}{2}[/tex]
[tex]\frac{8}{3}[/tex] / [tex]\frac{3}{2}[/tex]
[tex]\frac{8}{3}[/tex] * [tex]\frac{2}{3}[/tex]
[tex]\frac{8*2}{3*3}=\frac{16}{9} =1\frac{7}{9}[/tex] times as many cups more
16÷(2+1/2)^2 PLS HELP ME! WORTH 100 POINTS NEED ANSWER AS MIXED FRACTION
[tex]\\ \rm\Rrightarrow 16\div (2+1/2)^2[/tex]
[tex]\\ \rm\Rrightarrow 16\div(5/2)^2[/tex]
[tex]\\ \rm\Rrightarrow 16\div 25/4[/tex]
[tex]\\ \rm\Rrightarrow 16\div 4/25[/tex]
[tex]\\ \rm\Rrightarrow 64/25[/tex]
[tex]\\ \rm\Rrightarrow 2\dfrac{14}{25}[/tex]
Answer:
Step-by-step explanation:
16÷(2+1/2)^2
= 4^2÷(2+1/2)^2
= (4÷(2+1/2))^2
= (4÷(5/2))^2
= (4*2÷5)^2
= 64÷25
= 2 14/25
find the value of x y and z in the rhombus below
Answer:
x = y = 13, z = 18
Step-by-step explanation:
6x + 8 = 86
6x = 86 - 8 = 78, so x = 78/6 = 13
7y + 3 + 86 = 180
7y = 180 - 86 - 3 = 91
y = 91/7 = 13
5z + 4 + 86 = 180
5z = 180 - 86 - 4 = 90
z = 90/5 = 18
please math help
graphing an integer function and finding its range for a given domain
Answer:
{-3, -1, 1, 3}
Step-by-step explanation:
The range is the set of function values corresponding to the values in the domain. They are generally sorted into numerical order.
range = {-3, -1, 1, 3}
__
Each value is found by evaluating the function at the domain value:
f(-1) = 1 -2(-1) = 3
f(0) = 1 -0 = 1
f(1) = 1 -2(1) = -1
f(2) = 1 -2(2) = -3
The value of y varies inversely with x, and y = 12 when x = -4. Find y when x = -2
Help fast I’ll give Brainlyest
Answer:
47 or 50 will be your answer, my apologies if it's wrong
Step-by-step explanation:
Measure 5 (property taxes) Ballot Measure 5, an initiative passed by Oregon voters in November 1990, fundamentally changed Oregon’s property tax and public school funding systems. Voter approval of Measure 5, and of Measure 47 in 1996 and Measure 50 in 1997, demonstrated the great force of anti-tax fervor in that decade.
Carmen's dog needs medication. She told the veterinarian that the dog weighs 50 lb. The medicine is measured as 14 mg for each kilogram
of the animal's mass. How much medicine should be given to Carmen's dog?
Use 1 lb=0.45 kg and do not round any computations.
Answer:
315mg
Step-by-step explanation:
So we calculate that 50Ib is the same as 22.5kg according to the given formula for converting.
14 multiplied by 22.5 is 315mg.
We should give Carmen's dog 315mg!