Answer:
PQ = 11
Step-by-step explanation:
Area of trapezium = ½(a + b)h
Where,
Area (A) = 196 m²
a = RS = 17 m
b = PQ
h = PT = 14 m
Let's find PQ. Substitute the known values into the formula:
196 = ½(17 + PQ)*14
196 = (17 + PQ)*7
196 = 119 + 7PQ
196 - 119 = 7PQ
77 = 7PQ
77/7 = 7PQ/7
11 = PQ
PQ = 11
Ms. Parvin pays a tax every year because she owns a house.
Which term best describes this tax?
Answer:
it's called property tax
Step-by-step explanation:
when you have to pay taxes on property you have its property tax
A) Find the average value of the function over the given interval. (Round your answer to four decimal places.)
f(x) = 16 - x^2 , [-4, 4]
Answer: ???
B) Find all values of x in the interval for which the function equals its average value. (Enter your answers as a comma-separated list. Round your answers to four decimal places.)
Answer: x = ???
Answer:
(a) The average rate of change is 0
(b) The values of x are: [tex]x =4\ or\ x = -4[/tex]
Step-by-step explanation:
Given
[tex]f(x) = 16 - x^2; [-4,4][/tex]
Solving (a): The average rate of change (m)
This is calculated using:
[tex]m = \frac{f(b) - f(a)}{b - a}[/tex]
Where
[tex][a,b] = [-4,4][/tex]
So:
[tex]m = \frac{f(4) - f(-4)}{4 - -4}[/tex]
[tex]m = \frac{f(4) - f(-4)}{8}[/tex]
Solve f(4) and f(-4)
[tex]f(4) = 16 - (4^2) = 16 - 16 = 0[/tex]
[tex]f(-4) = 16 - (-4^2) = 16 - 16 = 0[/tex]
So:
[tex]m = \frac{f(4) - f(-4)}{8}[/tex]
[tex]m = \frac{0 - 0}{8}[/tex]
[tex]m = \frac{0}{8}[/tex]
[tex]m = 0[/tex]
Solving (b): All values of x where [tex]f(x) = m[/tex]
In (a), we have:
[tex]m = 0[/tex]
So:
[tex]f(x) = 0[/tex]
So, we have:
[tex]f(x) = 16 - x^2[/tex]
[tex]16 - x^2=0[/tex]
Express 16 as [tex]4^2[/tex]
[tex]4^2 - x^2=0[/tex]
Apply difference of two squares
[tex](4 - x)(4 + x) = 0[/tex]
Split
[tex]4 - x =0; 4 + x = 0[/tex]
Solve for x
[tex]x =4\ or\ x = -4[/tex]
We will find that the average of the function over the given interval is 0, and the two values of x such that the function is equal to the average are x = -4 and x = 4.
How to find the average of a function over an interval?
To find the average of a function f(x) over an interval [a, b] we need to compute:
[tex]\frac{f(b) - f(a)}{b -a}[/tex]
In this case we have:
f(x) = 16 - x^2
And the interval is:
[-4, 4]
We will get:
[tex]\frac{(16 - (4)^2) - (16 - (-4))^2}{4 - (-4)} = \frac{0}{8} = 0[/tex]
So the function has an average of 0 over that interval.
B) Here we just need to solve:
f(x) = 16 - x^2 = 0
We will get:
16 - x^2 = 0
16 = x^2
±√16 = x
±4 = x
So the solutions are x = 4 and x = -4.
If you want to learn more about averages of functions, you can read:
https://brainly.com/question/16033358
1. A middle school conducted a survey of students to determine if they spent more of their time
playing games or watching videos their tablets. The results are shown in the table below.
Boys
Girls
Total
Playing Watching Total
Games Videos
138 46 184
54 142 196
192 188 380
Of the students who spent more time playing games on their tablets, approximately what percent
were boys?
Answer:
[tex]Students = 192[/tex]
[tex]\%Boys = 72\%[/tex]
Step-by-step explanation:
Given
See attachment for proper table
Solving (a): Students who spend more time playing games on tablets
To do this, we simply consider the playing games column.
The student are:
[tex]Students = 192[/tex]
Solving (b): The percentage of boys.
From the same columns, the numbe of boys are:
[tex]Boys = 138[/tex]
So, the percentage is:
[tex]\%Boys = \frac{Boys}{Students}* 100\%[/tex]
[tex]\%Boys = \frac{138}{192}* 100\%[/tex]
[tex]\%Boys = 0.71875* 100\%[/tex]
[tex]\%Boys = 71.875\%[/tex]
Approximate
[tex]\%Boys = 72\%[/tex]
PLZ ANSWER NEED IT ASAP
Answer:
80 square units
Step-by-step explanation:
beep
Number 26 (PlSss Help I really need help on this) I’ll give 15 points!!!!!!
[tex]\mathcal\pink{The \: answer \: is }[/tex]
only one window has height that is a whole number of centimeters
[tex]\mathcal{HOPE \: IT \: HELPS}[/tex]
[tex]\huge\pink{mark \: as \: brainliest}[/tex]
The 8 red markers in a package account for 4% of all markers in the package. How many markers are in the package?
Answer:
192 markers
Step-by-step explanation:
if 8 = 4% then 2=1%
so we can assume there are 200markers in the package.
8-200= 192 markers
Find the area of the shaded region of the trapezoid.
M 찌
18
9
A. 12 sq. units
B. 48 sq. units
C. 60 sq. units
D. 36 sq. units
Write a rule of the nth term of the sequence: 2,20,50,92,...
9514 1404 393
Answer:
d an = 6n^2 -4
Step-by-step explanation:
You only need to look at the values of the expressions for n=1 to determine the correct formula.
For n=1, the formula values are ...
a: 4 +6 = 10b: 4 -6 = -2c: 6 +4 = 10d: 6 -4 = 2 . . . . . . the correct first termThe rule for the sequence is ...
[tex]a_n=6n^2-4[/tex]
To make dough, Reba needs 2 cups of
flour. How much flour does she need to
make 5 batches of dough?
Answer:
The answer would be D.
Step-by-step explanation:
D. 10 1/2
Answer:
B. 12 1/2 CUPSStep-by-step explanation:
[tex]1 \:dough = 2\frac{1}{2} \:cups\:of\:flour\\5 \:batches=x[/tex]
Cross multiply
[tex]x = 5\times 2\frac{1}{2} \\\\2\frac{1}{2}=\frac{2\times 2+1}{2}\\\\x=5\times \frac{5}{2}\\\\x=\frac{5\times \:5}{1\times \:2}\\\\x=\frac{25}{2}\\\\x=12\frac{1}{2}\:cups[/tex]
I need help with What’s the missing measure G bahah
Answer:
x = 33°
Step-by-step explanation:
57 + 90 + x = 180
147 + x = 180
x = 33
divide then write in simplest form 5 divided by 5/6, 3 divided by 5/6, 10 dived 5/6 4 divided 5/9, 6 divided by 2/3
Answer:
Step-by-step explanation:
y= -1/4x
What is the rate of change of the function y
- 2 x – 52
Answer:
The rate of change is -2
Step-by-step explanation:
Given
[tex]y = -2x - 52[/tex]
Required
The rate of change
The slope intercept of a fuction is:
[tex]y =mx + b[/tex]
Where
[tex]m \to[/tex] rate of change
So, by comparison; [tex]y = -2x - 52[/tex] and [tex]y =mx + b[/tex]
[tex]m = -2[/tex]
find the mean and median of these data: 2, 7, 13, 15, 17, 19
Pls Pls answer and HURRY
Answer:
Mean: 12.166
Median: 14
Step-by-step explanation:
Answer:
mean: 73 ÷ 6 (amount of numbers in the list) = 12.166
median (middle number): 14
Step-by-step explanation:
to find the mean (average) you add all the numbers in the list and divide by the numbers there are (6 in the above problem)
2+7+13+15+17+18 = 73÷6 = 12.16
Write an inequality for the graph below.
How much INTEREST would you earn investing $5000 that earns 7% simple annual interest for 3 years?
Answer:
$1,125.26
Step-by-step explanation:
Start of Year 1 5000.00
Start of Year 2 5350.00
Start of Year 3 5724.50
Start of Year 4 6125.26
1.
What is the equation of a circle with center (-5, 8) and radius 9?
Answer:
Your equation is:
(x−5)2+(y+8)2=92
Expanding from general form you can write this as:
x2−10x+y2+14y+−8=0
Step-by-step explanation:
i think its correct ig don't know sry but i tried hope it helps you ✨
Answer:
[tex](x+5)^2+(y-8)^2=81[/tex]
Step-by-step explanation:
General equation of a circle is [tex](x-a)^2+(y-b)^2=r^2[/tex].
Center coordinates = (-5, 8)
a = -5 b = 8 r = 9
[tex]\\(x+5)^2+(y-8)^2=9^2[/tex]
[tex](x+5)^2+(y-8)^2=81[/tex]
Please do mark as brainliest. Hope this helps! :)
What is the probability that a dart will hit a spot in the shaded circle?
Answer:
did you find out the answer
Step-by-step explanation:
The Probability that a dart will hit a spot in the shaded circle is 25%.
What is Probability?
Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one. Probability has been introduced in Maths to predict how likely events are to happen. The meaning of probability is basically the extent to which something is likely to happen.
Here,
Area of Circle = πr²
radius of bigger circle = 6 cm
Area of bigger Circle = π X 6²
= 36π sq. cm
radius of smaller circle = 3 cm
Area of small circle = π X 3²
= 9π sq. cm
Probability = Small circle / bigger circle
= 9π / 36π
= 1/4
= 0.25 or 25%
Thus, the Probability that a dart will hit a spot in the shaded circle is 25%.
Learn more about Probability from:
https://brainly.com/question/11234923
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sundip and emma have some money
the ratio of sundips money to emmas money is 3:5
emma spends £450 of her money
the ratio of sundips money to emmas money is now 2:3
found how much money sundip has
Answer:
Step-by-step explanation:
Can you please answer the Sundip Ratio question?
£180.00
The amount of money Sundip have £ 2700.
What is Ratio?A ratio is a comparison between two amounts that is calculated by dividing one amount by the other. The quotient a/b is referred to as the ratio between a and b if a and b are two values of the same kind and with the same units, such that b is not equal to 0. Ratios are represented by the colon symbol (:). As a result, the ratio a/b has no units and is represented by the notation a: b.
Given:
ratio of sundips money : emmas money = 3:5
emma spends £450
ratio of sundips money : emmas money = 2:3
So, Sundip have money = 3x and Emma have money = 5x.
Now, Emma spends £450.
then she is left = (5x-450).
Now, the ratio of Sundip's money to Emma's money is given as 2:3 = 2/3.
2/3 = 3x/(5x-450).
2(5x-450) = 3*3x
10x - 900 = 9x
x = 900.
Thus, Sundip have 3x = 3 x 900 = 2700.
Learn more about Ratio here:
brainly.com/question/2784798
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29 minebvfbtynuixxmiwqwnnnfbrfbrttghtbbnuqeien
Answer:
ok? pulls out really rare pokemon card ;)
Step-by-step explanation:
Which of the following key characteristics is NOT true of a quadratic function?
A: Range is all real numbers.
B: Shape is a parabola.
C: Rate of Change is not constant.
D: It has only one vertex.
How do I answer this? I'm so confused
Answer:
Draw a graph of f(x) and q(x) also find x-intercept and y
Use the distributive property to match equivalent expressions.
74-4 - x)
28 - 7x
-28 - 7x
-7(4-x)
28 + 7x
7(4 + x)
-28 + 7x
-7(4+x)
Answer:
7(-4 - x) = -28 - 7x
-7(4 - x) = -28 + 7x
7(4 + x) = 28 + 7x
-7(-4 + x) = 28 - 7x
Step-by-step explanation:
To apply the distributive property, use the term outside the bracket to multiply each of the term you have inside the bracket.
Thus:
✔️7(-4 - x) = 7(-4) +7(-x)
= -28 - 7x
✔️-7(4 - x) = -7(4) -7(-x)
= -28 + 7x
✔️7(4 + x) = 7(4) + 7(+x)
28 + 7x
✔️-7(-4 + x) = -7(-4) -7(+x)
= 28 - 7x
Deann saved y dollars last month. She saved more than 3 times as much as the amount of money her brother saved, x. Which inequality
represents the relationship between the amounts of money Deann and her brother saved?
-100 POINTS-
Answer:
Yx3 > X
Step-by-step explanation:
Hope this helps! Owa Owa!
Answer: i dont know
Step-by-step explanation:
5 friends split 1/2 of a chocolate bar. How
much does each friend eat?
Draw a model.
Answer:
1/10
Step-by-step explanation:
the friends eat 1/10 of the whole bar or 1/5 of half a bar
select the three fractions that are less than 1/2
Answer:
A,D,F are less then 1/2
Step-by-step explanation:
Answer:
1/8
1/16
1/6
Step-by-step explanation:
1. 1/2 = 0.5 2. 1/2 = 0.5
1/6 = 0.167 1/8 = 0.125
I need this fast. PLSS Help.
Answer:
C
Step-by-step explanation:
Basically, ignore Cleveland bc it is just there to throw you off. Next, I recommend making a number line and plot these numbers.
-15 F -13 F -12 F -10 F -9 F
______________l______l_______l_________l________l__________l_________
Now go through the different options based on if they are warmer (or a bigger number): A (the first one) is not true because -15 is less than -13. B is not true bc is says on the left when it's on the right. D is incorrect because 12 is to the right, not the left :)
The answer is C by order of elimination and by logicccc :)
Hope this helped!!! (psstttt! there's a brainiest button that will really help me :)
For questions 7- 10, given that each shape is a rhombus, find the missing information.
HELP ASAP !!!!
Answer:
the answer is b
Step-by-step explanation:
/////////////////////////////
Answer:
I think it's B
Step-by-step explanation:
So sorry if I'm wrong. Have a nice day!
What is the volume of the rectangular prism shown below?
in.
in
3 in.
63 in
in.
Volume = length x width x height
Volume = 6 1/2 x 3 x 4/5 = 15 3/5 cubic in.
Answer:
15 3/5.
Step by Step Explanation:
4/5 * 3 = 2 2/5
2 2/5*6 1/2 = 15 3/5.
What are the values of x and y in the diagram? Use an equation to solve the problem. (the diagram
has 2 different y's, so you need the TOTAL of the y's)
Answer:
x =35
y=72.5 and the 2nd y also equals 72.5
Step-by-step explanation:
x=35- it is a vertical angle
both ys + 35 makes a straight line (180)
2y+35=180
2y=145 (subtract 35 from both sides)
y=72.5 (divide by 2)
In how many ways can a committee of 8 sit in a row if the chairman occupies the middle seat??