Answer:
660
Step-by-step explanation:
First I found principal and then I added Interest and principal.At last I got sum as 660
Find the value of x. Then tell whether the side lengths form a Pythagorean triple.
10, 6
To Find :
The value of x.
Solution :
Applying Pythagoras's theorem by assuming 10 is the biggest side, we get :
[tex]6^2 + x^2 = 10^2\\\\x = \sqrt{100 - 36}\\\\x = \sqrt{64}\\\\x = 8[/tex]
Therefore, the value of x is 8 .
3 x+1
------- + ---------------
92−64 152−7−40
Answer:
1
Step-by-step explanation:
[tex] \frac{3x + 1}{28} + \frac{}{105} \\ \frac{105(3x + 1)}{2940} + \frac{28}{2940} \\ \frac{3x + 1}{28} + \frac{1}{105} [/tex]
-1
W
Which is the correct graph of y = x2?
a.
c.
5
4.
2
3
1-
2
+
1
-S
4
-2
1
--
2
3
4
S
1
3
X
-3
tor
-S
b.
5
d.
Ty
4
3
Answer:
Step-by-step explanation:
In the graph of y = x2, the point (0, 0) is called the vertex. The vertex is the minimum point in a parabola that opens upward. In a parabola that opens downward, the vertex is the maximum point. We can graph a parabola with a different vertex.
What is (+8) – (-3)?
Find the value of x.
Answer:
[tex]\boxed {\boxed {\sf x=28}}[/tex]
Step-by-step explanation:
This is a right triangle. The small square in the corner represents a 90 degree angle. We can use trigonometry. The three major ratios are:
sin(θ)=opposite/hypotenuse cos(θ)=adjacent/hypotenuse tan(θ)= opposite/adjacentThe angle, or θ, is 60 degrees. The side measuring 14 is adjacent to this angle. x is the hypotenuse because it is opposite the right angle. Since we have the adjacent side and the hypotenuse, we use cosine.
[tex]cos (\theta) = \frac {adjacent}{hypotenuse}[/tex]
[tex]cos(60)= \frac{14}{x}[/tex]
Since we are solving x, we must isolate the variable. First, cross multiply.
[tex]\frac {cos(60)}{1}= \frac{14}{x}[/tex]
Multiply the first numerator (cos60) by the second denominator (x).
Then, multiply the first denominator (1) by the second numerator (14)
[tex]cos (60)*x= 14*1[/tex]
[tex]cos(60)*x= 14[/tex]
The cosine of 60 is equal to 1/2,
[tex]\frac{1}{2} x= 14[/tex]
x is being multiplied by 1/2. The inverse of multiplication is division. Divide both sides of the equation by 1/2. Since this is a fraction, you can also multiply by the reciprocal: 2.
[tex]2* \frac{1}{2} x= 14 *2[/tex]
[tex]x=14 *2\\ x=28[/tex]
The hypotenuse, x, is equal to 28.
Which of the following shows the inverse of {(0, 4), (5, -2), (-1, 8), (2, 5)}?
A:{(0, -4), (5, 2), (-1, -8), (2, -5)}
B:{(4, 0), (-2, 5), (8, -1), (5, 2)}
C:{(0, -4), (-5, 2), (1, -8), (-2, -5)}
D:{(0, 4), (-5, -2), (1, 8), (-2, 5)}
9514 1404 393
Answer:
B: {(4, 0), (-2, 5), (8, -1), (5, 2)}
Step-by-step explanation:
The inverse relation has the input and output swapped:
relation: (0, 4)
inverse relation: (4, 0)
You can identify the correct answer choice using just the first ordered pair. The inverse relation is ...
{(4, 0), (-2, 5), (8, -1), (5, 2)}
Mrs. Tabachy is selecting 2 individuals to read their poems in the poetry slam. She is selecting from Jill, Tom, Peter, Chrissie, and Lisa by drawing names from a hat. What is the probability that Lisa and another girl are chosen to read? Write your answer as a fraction in the simplest form.
Answer:
n[total]=5
now
probability to Lisa and another girl are chosen to read=n[Lisa]/5×n[another girl]/4=1/5×1/5=1/25=0.04 is your answer
Step-by-step explanation:
Solution :
here ,
n= 5
then,
The probability that Lisa and another girl are chosen to read = n(Lisa)/5×n ( another girl ) /4
=1/5×1/5
=1/25
=0.04 answer
hope it is helpful to you ☺️
What is the measure of arc AB
Answer:
AB should be 142
Step-by-step explanation:
the circle whole is 360 half is 180. Line segment BD is half so you need to subtract the 38 from 180 to get your answer of 142
This is an isosceles trapezoid.
R.
s
75
X
Y У
T
U
Answer:
S=R
75+75=150
360-150=210
210/2=105
y=105
Answer:
y = 105°
Step-by-step explanation:
In an isosceles trapezoid.
Any lower base angle is supplementary to any upper base angle, that is
y = 180° - 75° = 105°
divide Rs.74,000 in the ratio 2:3:4
Answer:
Solution given;
let ratio be 2x ,3x and 4x
now
2x +3x+ 4x=74000
9x=74000
x=74000/9
x=8222.22
2x=8222.2*2=Rs 16444.44
3x=8222.2*3=Rs 24666.66
4x=8222.2*4=Rs 32888.88
what the answer please help marking brainliest if it's correct and explain¡
Answer:
median
Step-by-step explanation:
because you have the smallest to the largest number and its one to five so once it counts from one to five its median
Answer:
Its Either B or C.
Step-by-step explanation:
So, the median and the interquartile range are the most appropriate measures to describe the center and the variation.The range is a measure of variability because it indicates the size of the interval over which the data points are distributed. A smaller range indicates less variability (less dispersion) among the data, whereas a larger range indicates the opposite.
Hope this helped!!!!
One number is five more than three times a second number. The sum of the numbers is 37. What are the numbers?
Answer:
11
Step-by-step explanation:
Answer:
29, 8
Step-by-step explanation:
1. let x = 1st number and y = 2nd number.
2. The 1st sentence translates into: x = 3y+5
3. 2nd sentence translates into: x + y = 37.
4. x+y = 37 --> y = 37-x
5. x = 3(37-x)+5
x = 111-3x +5
4x = 116
x = 29
y = 37-x = 37-29 = 8
6. x = 29, y = 8
CAN SOMEONE PLEASE HELP ME WITH THIS PROBLEMS I would really appreciate it
Answer:
I would love to help but can you zoom in on the question I can't really read it
Step-by-step explanation:
Please math , help
You are given the results of measurement of resistors. We are testing the
measurement tool. It will pass the technical control if the mean value will be
in the range [198-202] with standard deviation less than 3 Ohms. Will the tool
pass the technical control?
Answer:
As both the mean and standard deviation are in the desired ranges, the tool passes the technical control.
Step-by-step explanation:
Mean of the batch:
The mean of the batch is the sum of all values divided by the number of items. So
[tex]M = \frac{199+204+201+197+195+204+200}{7} = 200[/tex]
Mean in the desired interval.
Standard deviation:
Square root of the sum of the difference squared between each term and the mean, divided by the number of items. So
[tex]S = \sqrt{\frac{(199-200)^2+(204-200)^2+(201-200)^2+(197-200)^2+(195-200)^2+(204-200)^2+(200-200)^2}{7}} = 1.18[/tex]
As both the mean and standard deviation are in the desired ranges, the tool passes the technical control.
Adriyana wants to determine the difference quotient
of p(x) = x3 + x.
She writes the following first few steps.
p(x + h)
= (x + h)3 + (x + h)
= x3 + 3x2h + 3xh2 + h3 + x + h
StartFraction p (x + h) minus p (x) Over h EndFraction = StartFraction (x cubed + 3 x squared h + 3 x h squared + h cubed + x + h) minus (x cubed + x) Over h EndFraction
What is the simplified expression for the difference quotient for all nonzero values of h?
3x2 + 3xh + h2
3x2 + 3xh + h2 + 1
3x2 + 3xh + h2 + h
3x2 + 3xh + h2 + 2x + 1
Answer:
The answer is B
Step-by-step explanation:
The simplified expression for the difference quotient for all nonzero values of h is 3x² + 3xh + h² + 1 option (B) is correct.
What is a function?It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
It is given that:
The function is:
p(x) = x³ + x
The difference quotient of the function:
p(x + h) = (x + h)³ + (x + h)
The difference quotient of the function:
= [((x + h)³ + (x + h)) - (x³ + x)]/h
= [x³ + 3x²h + 3xh² + h³ + x + h - x³ - x]/h
= [3x²h + 2xh² + h³ + h]/h
= 3x² + 3xh + h² + 1
Thus, the simplified expression for the difference quotient for all nonzero values of h is 3x² + 3xh + h² + 1 option (B) is correct.
Learn more about the function here:
brainly.com/question/5245372
#SPJ2
can you please answer this?
Answer:
all real numbers i think
Step-by-step explanation:
PSYCHOLOGY/SOCIOLOGY
Does anybody know the answer to any of these? Will mark BRAINIEST
Answer:
1. A
2. B
3. C
Step-by-step explanation:
......................
please help explain this
Answer:
8
Step-by-step explanation:
So, the small red circles are the baskets.
Each 1 represents 1 basket.
We know that the two baskets on 4 wont be counted, as well as the two baskets on 4 1/2, since thats smaller than or equal to 4 1/2
We also know that the two baskets on 6 wont be counted either, since thats equal to 6.
So now lets count the baskets in between these values, which would be:
5 - 4 baskets
5 1/2 - 4 baskets
Lets add those up:
4+4
=
8
So your answer is 8!
Hope this helps! :)
Answer:
8
Step-by-step explanation:
Hello! I am just here to confirm that it is 8! The kind person before me is correct! Hope my confirmatiom helps you though! Have an amazing day and remember your worth it!
Bye! Hasta luego :)
the height of a house having three rooms of the dimensional 9 feet into 12 feet 14 feet into 16 feet and 12 feet into 14 feet respectively is 90 Feet what will be the amount required to paint on all was from inside at the rate of 160 per square feet
Answer:
Amount required = 2,217,600
Step-by-step explanation:
Dimensions of the rooms are as follows;
Room 1; 9 feet × 12 feet
Room 2; 14 ft × 16 ft
Room 3; 12 ft × 14 ft
Perimeter of rooms;
P1 = 2(9 + 12) = 42 ft
P2 = 2(14 + 16) = 60 ft
P3 = 2(12 + 14) = 52 ft
Total perimeter; P = 42 + 60 + 52 = 154 ft
Height is 90 ft.
Thus, total area is;
A = 154 × 90
A = 13860 ft²
Rate of painting is 160 per Sq.ft.
Thus amount to paint entire area = 160 × 13860 = 2217600
what is the greatest 2 decimal place number using 4, 0, 7 , 1
Answer: 74.10
Step-by-step explanation:
There are in total 4 numbers, so if we want 2 decimal number, then there will be 2 integer part and 2 decimal part.
The largest possible tens place will be: 70 (7)
The largest possible ones place will be :4 (4)
The largest possible tenths place will be: 0.1 (1)
The largest possible hundredths place will be: 0.00 (0)
Hope this helps!! :)
Please let me know if you have any questions
It has been claimed that, for a penny minted in 1999 or earlier, the probability of observing heads upon spinning the penny is p = 0.3. Three students got together, and they would each spin a penny and record the number X of heads out of the three spins. They repeated this experiment 200 times, observing 0, 1, 2, and 3 heads 57, 95, 38, and 10 times, respectively. Use these data to test the hypotheses that X is b(3, 0.3) that is binomial with n = 3 and p = 0.3 using
Answer:
accept Null hypothesis at ∝ = 0.05
Step-by-step explanation:
To test the hypothesis that: X is b( 3, 0.3 ) ( Null hypothesis )
Let X = number of heads out of three spins
In three spins there were 4 outcomes
Ao = 0 , A1 = 1 , A2 = 2 , A2 = 3 { 0,1,2,3 } outcomes in three spins
next: lets determine the probability of each result
attached below is the detailed solution
H0 : pi = pio
where i = 0,1,2,3
What is the measure of the missing angle? Please answer fast!
Answer:
42
hope this helps
have a good day :)
Step-by-step explanation:
Hope this helps :)
Answer:
48 degrees
Subtract 132 from both sides, and you get the other interior angle has a measure of 48 degrees. Now, to take that and figure out the missing angle.
you're having a bbq this weekend, and you're in charge of hamburger meat. right now there is a sale where you can buy 5 pounds of meat for $10. At this rate how much meat could you buy for $30
Answer:
15 pounds
Step-by-step explanation:
we can set up a proportion:
5/10=x/30
solve for x:
5/10=x/30
10x=150
x=15
(or you could've done 5*3=15 since $30/$10=3)
Does anyone know this
Answer:
The scale factor is greater than 1
Step-by-step explanation:
A class consists of 23 women and 83 mean. If a student is random selected, what is the probability that the student is a woman?
Answer:
[tex]P(Woman) = \frac{23}{106}[/tex]
Step-by-step explanation:
Given
[tex]Women = 23[/tex]
[tex]Men = 83[/tex]
Required
[tex]P(Woman)[/tex]
This is calculated as the number of women divided by the population of the class
i.e.
[tex]P(Woman) = \frac{Women}{Women + Men}[/tex]
So, we have:
[tex]P(Woman) = \frac{23}{23+83}[/tex]
[tex]P(Woman) = \frac{23}{106}[/tex]
how many zeros does the polynomial function y=(x+4)(x-2)^2(x+7)
List the temperatures in order from hottest to
coldest. (6.2D)
( 6°F , 8°F, -10°F, 30F, 0°F, -13°F)
Match the type of graph with its description.
Answer:
1) Compares data that are in categories
2) Organises data into 4 groups of equal sizes and is often used to compare two sets of data.
3) Used to see trends in data.
4) Shows changes over time.
5) Shows the frequency of data using equal intervals with no space between the bars.
Step-by-step explanation:
1) Bar graph is used to compare data that are in categories
2) Box and whisker plot is used to organise data into 4 groups of equal size.
3) Line graph is basically used to see different trends.
4) Scatter plot is used to show changes that have occurred over time
5) Histogram is used to show the frequency of data using equal intervals with no space between the bars.
If there are 4 Democrats and 3 Republicans on a committee, what is the probability that a Democrat will be the chair
of the committee and a Republican will be the alternate? Assume that the chair and the alternate are chosen
randomly. Round the answer to the nearest hundredth.
A.0.10 B.0.20 c.0.29 d.0.58
Answer:
C. 0.29
Step-by-step explanation:
Answer:
C.
Step-by-step explanation:
A 12-foot-long support board is attached to thecenterof a 16-foot-high vertical display board.What is the width (w) of the horizontal supportboard, rounded to the nearest foot?
Answer:
4 ....,..........................................