Answer:
{(-8,-8), (9, 9),(4,5), (4,0)}
Step-by-step explanation:
A relation that is a function does not have any repeating x-values.
A function has one input assigned to exactly one output.
The x-value of 4 repeats in the top set:
{(-8,-8), (9, 9),(4,5), (4,0)}
Therefore, the set is not a function.
Brainilest Appreciated.
The diagram shows an irregular octagon. Work out the sum of the interior angles.
Answer:
1080°
Step-by-step explanation:
Sum of interior angles = 180°(n-2)
Where n is the number of sides of the polygon
Therefore,
Sum of interior angles of an octagon =180°(8-2)
=1080°
A polygon is a geometrical shape that has between 1 to an infinite number of sides. A polygon can come in two forms:
Regular polygonIrregular polygonThe sum of the interior angles of the irregular octagon is 1080°
The formula to solve for the sum of the interior angles of an irregular polygon is given as:
(n - 2) x 180°
Where n = number of sides.
An octagon is a polygon that has 8 sides. Hence, n = 8
So: (8 - 2) x 180°
= 6 x 180°
= 1080°
Therefore, the sum of the interior angles of the irregular octagon is 1080°
To learn more, visit the link below:
https://brainly.com/question/23425100
The perimeter of the original rectangle is 16 feet. A small rectangle has a length of 6.2 feet and width of 1.8 feet. A larger rectangle has a length of 12.4 feet and width of blank. Not drawn to scale What is the perimeter of the enlarged rectangle? Round to the nearest tenth if necessary. 22.3 feet 31 feet 32 feet 42.7 feet
Answer:
32 feet
Step-by-step explanation:
looking at the length of the bigger rectangle, we can see that it is twice the length of the small one.
Mathematically meaning 12.4 = 2(6.2)
So in the real sense of it, we can conclude that the smaller rectangle was dilated to give the bigger.
So using that, we can see that the width of the larger triangle would be 1.8 * 2 = 3.6 feet
Mathematically, we can calculate the perimeter of a rectangle using the formula;
P =2 (l + b)
Thus P = 2(12.4 + 3.6) = 2(16) = 32 feet
Answer: 32
Step-by-step explanation: looking at the length of the bigger rectangle, we can see that it is twice the length of the small one.
Mathematically meaning 12.4 = 2(6.2)
So in the real sense of it, we can conclude that the smaller rectangle was dilated to give the bigger.
So using that, we can see that the width of the larger triangle would be 1.8 * 2 = 3.6 feet
Mathematically, we can calculate the perimeter of a rectangle using the formula;
P =2 (l + b)
Thus P = 2(12.4 + 3.6) = 2(16) = 32 feet
If 94 people attend a concert and tickets for adults cost $2.5 while tickets for children cost $1.75 and total receipts for the concert was $203.5, how many of each went to the concert?
Answer:
52 adults and 42 children attended the concert
Step-by-step explanation:
Given:
Total attendees=94 people
Adults tickets=$2.5
Children tickets=$1.75
Total receipts=$203.5
Let adults=a
Children=c
a+c=94 (1)
2.5a + 1.75c=203.5 (2)
From (1)
a+c=94
a=94-c
Substitute a=94-c into (2)
2.5a + 1.75c=203.5
2.5(94-c) + 1.75c=203.5
235-2.5c+1.75c=203.5
-0.75c=203.5-235
-0.75c=-31.5
Divide both sides by -0.75
-0.75c/-0.75=-31.5/-0.75
c=42
Substitute c=42 into (1)
a+c=94
a+42=94
a=94-42
=52
a=52
Therefore,
52 adults and 42 children attended the concert
HHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHEEEEEEEEEEEEEEEEEEEEEEELLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!...............................................................please?
Answer:
Hey!
Your answer should be
Step-by-step explanation:
To find the BASE: 8 x 4 = 32cm^2
To find the angled TOP FACE: 10 x 4 = 40 cm^2
To find the TRIANGLES: (6x8)/2 x 2 = 48 cm^2
To find the REAR FACE: 6 x 4 = 24 cm^2
TOTAL: 32 + 40 + 48 + 24
SUFACE AREA: 144cm^2
Hope this helps!
Answer:
192 cm ^3
Step-by-step explanation:
find area of cross section x depth
6 times 8 is 48
depth is 4
48 x 4 is 192
Can you answer this question for me and help me by explaining it?
Answer:
(3, 1250 )
Step-by-step explanation:
Given x = 3, then
y = 10 × 5³ = 10 × 125 = 1250
An arch bridge crosses a river. The bridge is supported at each end and has seven additional supports in the water. The span of each arch is 86 meters, and the width of each support at the base is 2 meters. What is the distance across the river?
Answer:
Step-by-step explanation:
We have 8 upside U's in the water, and the width of each one is 86 meters, and 86 * 8 = 688 meters.
There are also 9 supports total, each one having a width of 2 meters, and 9 * 2 = 18.
If we add 18 to 688 we get 706 m, assuming that the outer edges of each end support is right where the water begins at one end and right where it ends at the other.
Find the solution to the system of equation select all that apply y=x^2-4 y=2x-5
23. A 340 million square mile forest is how many hectares?
Answer:
88059595400 hectares
Step-by-step explanation:
Convert 340 million square miles into hectares.
1 square mile = 258.99881 hectares
340,000,000 square miles = 88059595400 hectares
The forest is 88059595400 hectares.
Answer:
[tex]8.80597(10^{10})[/tex] hectares
Step-by-step explanation:
This is unit conversion:
[tex]340,000,000miles(\frac{258.999 hectares}{1 mile} )[/tex]
We then multiply, with our units miles canceling out and leaving us with hectares:
[tex]8.80597(10^{10})[/tex] hectares
or
88059700000 hectares
the mean weight of a group of 15 boys is 65 kg . one boy joins the group and his weight is 45 kg . what is the average weight of all the boys
Step-by-step explanation:
let the total weight of 15 boys is x
x/15=65
x=975
now one more boy joins the group whose weight is 45 kg
975+45/16=1020/16
the average weight of all boys is 63.75
Answer:
63.75 kg
Step-by-step explanation:
First of all, find the total weight of the 15 boys. you then add the weight of the new boy and divide by 16
Let the total weight of the 15 boys be x
x / 15 = 65 kg
To find the total, multiply 65 kg by 15 which is equal to 975kg
The total weight of the sixteen boys = 975 + 45 = 1020 kg
Average weight of all the boys = 1020 ÷ 16 = 63.75 kg
What are the coordinates of the vertex of the parabola described by the equation below? y=-2(x+7)^2+22
Answer:
(-7,22)
Step-by-step explanation:
x+7 moves the graph left 7 (-7)
+22 moves it up 22
the 2 at the beginning is a shrink and it doesn't matter when finding the vertex
Patricia recorded the different types of pizza her friends like in the table below: Pizza Type Number of Friends Cheese 3 Mushroom 1 Pepperoni 4 Supreme 2 Which of the following plots represents the data in the table?
Answer:
The second picture
Step-by-step explanation:
It shows that the data is accurately displayed on the chart
Answer:
It's the second picture.
Step-by-step explanation:
I've done the test. I got it right.
if C is the midpoint of EF, C has coordinate -8, F has coordinate 4, then find the coordinate of E
Answer:
AB=14x-14
Step-by-step explanation:
to find the length of AB:
AB=AM+MB
AB= 6x-4+8x-10
AB=14x-14
Find the inequality represented by the graph.
Answer:
y>-2/3x+3
Step-by-step explanation:
Looking at the line, we notice that the y-intercept is 3, and the slope is -2/3, so using that information, we find the slope intercept form of the inequality, which is y(?)-2/3x+3 (the question mark is where the inequality symbol will be).
Looking at the line again, we see that it is shaded above (not below), so y is greater than the other side of the inequality.
Looking at the line AGAIN, we see the graph has a dashed line (not solid), so we are not dealing with an "or equal to" inequality.
Therefore, we should use the greater than symbol, creating the answer y>-2/3x+3.
Answer:
the answer above is correct believe me
Step-by-step explanation:
A standard fair dice is rolled twice. What is the probability of getting an odd number on the first roll and any number except 4 on the other?
Answer:
Let,O and P be the events of getting odd number and any other number except 4 respectively.
n(S)=6
O=(1,3,5) so, n(O)=3
P=(1,2,3,5,6) so, n(P)=5
So,probability of getting an odd number and any other number except 4 will be
n(O)/n(S) × n(P)/n(S)
=3/6 × 5/6
=5/12
May be it's the answer I guess. Hope you're clear with it:-)
Help me please I need some help with math
Answer:
sorry i dont understand
Step-by-step explanation:
Type the missing number in the sequence
Answer:
10
Step-by-step explanation:
Take the third term and divide by the second term
1000/100 = 10 which is the common ratio
To find the first term divide by the common ratio
100/10 = 10
The first term is 10
Answer: 10
Step-by-step explanation:
1, 10, 100, 1,000, etc.
The formula is 1/10 if you’re going left or 10/1 if you are going right.
The fourth term is 10,000, the third term is 1,000, the second term is 100, so the first term has to be 10
100 / 10 = 10
A micrometer is capable of measuring the thickness of an object to units of one hundredth of a millimeter. Suppose an analog micrometer is used to measure the diameter of a ball bearing that is roughly 1.5 cm across. Select a reasonable value and error for the measurement of the bearing’s diameter. How did you choose the amount of error?
Answer:
Check Explanation
Step-by-step explanation:
The options for the question aren't available. But it is given that the micrometer screw gauge in question can measure up to a hundredth of a millimeter.
We now want to measure a ball with diameter that is roughly 1.5 cm.
1.5 cm = 15.00 mm
Since our micrometer screw gauge can measure up to a hundredth of a millimeter, the possible true diameter of the ball will range between 14.995 mm and 15.004 mm
The error in measurement can range from -0.004 mm to +0.005 mm.
The amount of error was picked based on the approximate measurements on the analogy micrometer screw gauge that the equipment will still classify as roughly 15 mm (1.5 cm)
Hope this Helps!!!
Answer:
1.715 cm ± 0.005 cm; The standard error was chosen as +(-) 1/2 the smallest unit that can be precisely measured on the device, or 0.01 cm.
Step-by-step explanation:
HELP ASAP LINEAR EQUATIONS!!
Answer:
y = 4/3x - 10.
Step-by-step explanation:
3x + 4y = 12
4y = -3x + 12
y = -3/4x + 3
If a line is perpendicular to another, the line has a slope that is the negative reciprocal of the other line. Since the given line has a slope of -3/4, the line perpendicular to that line will have a slope of 4/3.
So far, for the equation of the line, we have an equation of y = 4/3x + b.
To find b, simply substitute the coordinates (6, -2) for x and y.
-2 = 4/3(6) + b
b + 4/3(6) = -2
b + 8 = -2
b = -10
So, the equation of the line will be y = 4/3x - 10.
Check your work...
-2 = (4/3)(6) - 10
-2 = 8 - 10
-2 = -2
Hope this helps!
Answer: C) [tex]y = \frac{4}{3} x-10[/tex]
Step-by-step explanation:
First change this equation into slope-intercept form(y = mx + b). y = -3/4x + 3.
For a line to be perpendicular to another line, it must have an opposite reciprocal slope. The opposite reciprocal of -3/4 is 4/3. Thus, the answer is NOT B. Then, attempt to plug in 6, -2 into each equation. The only one where it works is C.
Hope it helps <3
please help and explain, will give BRAINLIEST! (also, use things like sin, cos, tan, pythagorean theorem, etc to solve please)
Answer:
The triangle's altitude is 15
Step-by-step explanation:
Notice that triangle ABD is a right angle triangle, and therefore its sides should verify the Pythagorean theorem:
[tex]hyp^2=side_1^2+side_2^2[/tex]
for this triangle the hypotenuse (b) is 47.43; side (a) is 45, and the last side (the segment BD) is our unknown (the triangle's ABC altitude). Then the Pythagorean theorem becomes:
[tex]hyp^2=side_1^2+side_2^2\\47.43^2=45^2+BD^2\\BD^2=47.43^2-45^2\\BD^2=224.6049\\BD=\sqrt{224.6049} \\\\BD=14.9868[/tex]
which rounded will give 15
Please help this question.
The temperature of a type of metal decreases from 100°C to T°C according to T = 100(0.9)*
after x second. Calculate
(a) the temperature of the metal after 5 seconds,
(b) the time taken, x, in seconds for the temperature of the metal to decrease from 100°C to
80°C.
Answer:
a). 59.049°C
b). 2.1179 seconds
Step-by-step explanation:
Expression representing the final temperature after decrease in temperature of the metal from 100°C to T°C is,
T = [tex]100(0.9)^{x}[/tex]
where x = duration of cooling
a). Temperature when x = 5 seconds
T = 100(0.9)⁵
= 59.049
≈ 59.049°C
b). If the temperature of the metal decreases from 100°C to 80°C
Which means for T = 80°C we have to calculate the duration of cooling 'x' seconds
80 = [tex]100(0.9)^{x}[/tex]
0.8 = [tex](0.9)^{x}[/tex]
By taking log on both the sides
log(0.8) =log[[tex](0.9)^{x}[/tex]]
-0.09691 = x[log(0.9)]
-0.09691 = -0.045757x
x = [tex]\frac{0.09691}{0.045757}[/tex]
x = 2.1179
x ≈ 2.1179 seconds
help !!
Evaluate 8 - 50g + 2h when g = 10 and h = 5
Answer:
The evaluated answer to this equation is -482
Step-by-step explanation:
h = 5
g = 10
Plug in your numbers for the equation.
8 - 50(10) + 2(5)
Multiply -50 by 10 and multiply 2 by 5.
8 - 500 + 10
Subtract 8 by -500.
-492 + 10
Add 10 to -492.
-482
If a person's score on a questionnaire has been found to predict observed social skills, and the linear prediction rule uses a regression constant of 16 and a regression coefficient of 3, the predicted level of social skills for a person with a score of 10 on the questionnaire is
Answer: Predicted level of social skill will be 46
Step-by-step explanation:
For a linear regression; the general equation is in the form;
y = mx + c
Where is the predicted value or variable
m = slope or gradient (regression coefficient )
c = intercept which is constant (this is where the line of best for crosses the y-axis.
y = predicted value
x = independent variable
Given the following:
Regression coefficient (m)= 3
Regression constant (c)= 16
Score(x) = 10 (independent variable)
From:
y = mx + c
y = 3(10) + 16
y = 30 + 16
y = 46
Predicted level of social skill will be 46
The table shows how the average cost of gasoline at one gas station changed over the past four months. Which graph might a magazine use to show the data?
Answer:
B/2
Step-by-step explanation:
The table mentions that the time actually starts from the end of the first month, so it cannot be graph one, which starts from 0.
Also, we can see that the values are decreasing over time, meaning it cannot be graph 3, which shows an increase.
thus, we settle the Answer as Graph 2, which satisfies all the needs.
Hope this helps.
Rai compares two cable plans from different companies. Which equation gives the correct value of m, the number of months for which Plans A and B cost the same?
Answer:
D. 75m = 50(12)+125(m-12)
Step-by-step explanation:
m = months.
Equation for which Plans A and B cost the same.
In Plan A:
No initial fees.
$75 per month
1 month = $ 75
then;
for m month =$75 m
Total cost for plan A = 75m
In Plan B:
$50 per month for first 12 month.
1 month = $50
12 months = 50(12)
Similarly,
$125 per month for each additional month after that.
additional month= (m-12)
Plan B additional month
= 125(m-12)
Total cost for plan B = 50(12)+ 125(m-12)
Since, Plans A and B cost the same.
75m = 50(12)+125(m-12)
Last week, Lindsay earned $10 per hour plus a $60 bonus for good job performance. She spends of her paycheck on dinner with friends. If she had not earned the bonus, the amount she spent on dinner would have been of her paycheck. Which equation can be used to find h, the number of hours Lindsay worked last week?
Answer:
Equation that can be used to find h is 1/15*(10h+60)=1/10*(10h)
Lindsay worked for 12 hours last week
Step-by-step explanation:
Complete question below:
last week, Lindsay earned $10 per hour plus a $60 bonus for good job performance. She spends 1/15 of her paycheck on dinner with friends. If she had not earned the bonus, the amount she spent on dinner would have been 1/10 of her paycheck. Which equation can be used to find h, the number of hours Lindsay worked last week?
Let
y= cost of the dinner with friends
h=the number of hours Lindsay worked last week
y=1/15*(10h+60) (1)
y=1/10*(10h) (2)
Equate (1) and (2)
1/15*(10h+60)=1/10*(10h)..........equation used to find h
10h+60/15=10h/10
Cross product
(10h+60)10=15(10h)
100h+600=150h
600=150h-100h
600=50h
Divide both sides by 50
600/50=50h/50
12=h
Therefore, Lindsay worked for 12 hours last week
[tex](125)^{-1/3\\[/tex] plzz help fast
Answer:
0,000000512
Step-by-step explanation:
So it's 1/(125)^1/3 =1/125*125*125=1/1.953.125=0,000000512
What is 3/5 of £85? PLEASE HELPPP
Answer:
51
Step-by-step explanation:
85/5x3=51
Answer:
Hey!
3/5 of 85 = 51!
Step-by-step explanation:
3/5 = 0.6
So 0.6 x 85 = 51!
HOPE THIS HELPS!!
HELP SOON PLEASE!!!!!!!
Answer:
Right triangles:
5) 0.75, 1, 1.25
6) 18, 80,82
Not right triangles:
1) 5,5,√50
2) 6.5, 3.2, 7.8
3) √2, √3, 4
4) 12, 13, 20
Step-by-step explanation:
Right triangles: (for right triangles the Pythagorean theorem is true)
6) 18² + 80² = 82²
6724=6724
5) 0.75² + 1² = 1.25²
1.5625 =1.5625
Not right triangles:
1) 5² + 5² ≠(√50)²
1250≠ 50
2) 6.5² + 3.2² ≠ 7.8²
52.49≠60.84
3) (√2)² +(√3)² ≠ 4²
5≠ 16
4) 12² + 13² ≠ 20²
313 ≠ 400
Answer:
5, √50, 5
18, 80, 82
0.75, 1, 1.25
Step-by-step explanation:
5, √50, 5 ⇒ √5²+5²= √50
18, 80, 82 ⇒ √18²+80²=82
0.75, 1, 1.25 ⇒ √0.75² + 1² = 1.25
All the others are not satisfying √a²+b²=c condition
Solve for x 5 x − 9 = 3 x + 3
5x-9 = 3x+3
2x-9 = 3
2x = 12
x= 6
plz mark branliest, hopoe this helps :)
The temperature of a piece of Metal X with a mass of 95.4g increases from 25.0°C to 48.0°C as the metal absorbs 849 J of heat. What is the specific heat of Metal X?
Answer:
c = 0.38 J/g °C
Step-by-step explanation:
We have,
Mass of metal X is 95.4 g
Initial temperature was 25°C and final temperature is 48°C.
The metal absorbs 849 J of heat
The heat absorbed due to change in temperature is given by :
[tex]Q=mc\Delta T\\\\c=\dfrac{Q}{m\Delta T}\\\\c=\dfrac{849}{95.4\times (48-25)}\\\\c= 0.38\ J/g^{\circ} C[/tex]
So, the specific heat of metal X is 0.38 J/g °C.