The solution of the system of equations:
( -16.7, 19.28)
How to solve the system of equations?
Here we have the system:
4x+3y=9
3x +4y = 36
First, we need to isolate one of the variables in one of the equations, let's isolate x on the second one:
x = 36/3 - (4/3)y = 9 - (4/3)y
Now we can replace this in the other equation:
4*(9 - (4/3)y) + 3y = 9
36 - (16/3)y + (9/3)y = 9
- (7/3)y = -36 - 9 = -45
y = (3/7)*45 = 19.28
To get the value of x, we get:
x = 9 - (4/3)*19.28 = -16.7
Then the solution of the system is ( -16.7, 19.28)
If you want to learn about systems of equations:
https://brainly.com/question/13729904
#SPJ1
A cylinder has a base radius of 4m and a height of 6m. What is its volume in cubic m, to the nearest tenths place?
301.6 cubic meters
Step-by-step explanation:A cylinder is a shape with straight sides with circular or oval cross-sections. We know that the cylinder in the question must be a circular cylinder due to its radius description.
Volume Formula
A circular cylinder has a volume of [tex]V=\pi r^2h[/tex]. In this equation, V is the volume, r is the radius, and h is the height. The question tells us that r=4m and h=6m. So, we can plug these values into the formula.
Solving for Volume
To solve plug the values into the formula and rewrite the equation.
[tex]V=\pi *4^2*6[/tex]Next, apply the exponents.
[tex]V=\pi *16*6[/tex]Then, multiply the constants.
[tex]V=\pi *96[/tex]Finally, multiply the remaining terms. Remember to use the pi button on the calculator and not an estimation to get a more exact value.
[tex]V=301.6[/tex]Make sure your answer is rounded to the correct digit. This means that the volume must be 301.6 cubic meters.
PLS ANSWER I'M GIVING 40 POINTS!!!!!!
Answer:
[tex]19 sq.\ units[/tex]
Step-by-step explanation:
The best way to approach this is to figure out the area of the overall square, then remove any gaps.
The overall square is 5 by 5 so the area is:
[tex]A_t = s * s = 5 * 5 = 25\ sq.\ units[/tex]
There are 5 gaps in the shape of triangles, we will use the formula: [tex]A = \frac{bh}{2}[/tex], and subtract from the total.
1. (Top left)
[tex]A_1 = \frac{bh}{2} = \frac{2 * 1}{2} = 1[/tex]
2. (Top right)
[tex]A_2 = \frac{bh}{2} = \frac{2 * 1}{2} = 1[/tex]
3. (Bottom left)
[tex]A_3 = \frac{bh}{2} = \frac{2 * 1}{2} = 1[/tex]
4. (Bottom center)
[tex]A_4 = \frac{bh}{2} = \frac{2 * 1}{2} = 1[/tex]
5. (Bottom right)
[tex]A_3 = \frac{bh}{2} = \frac{2 * 2}{2} = 2[/tex]
The total triangle area is:
[tex]A = 1 + 1 + 1 + 1 + 2 = 6[/tex]
Subtract from total area to actual area:
[tex]A_s = A_t - A = 25 - 6 = 19 sq.\ units[/tex]
Multiply 0.35 times a power of ten so that the product is greater than 1, but less than 1000. Write the expression.
Answer:
See belowStep-by-step explanation:
Let the power is x, then we have the following inequality
1 < 0.35*10ˣ < 1000Solving we get
1/0.35 < 10ˣ < 1000/0.352.857 < 10ˣ < 2857.142log 2.857 < log 10ˣ < log 2857.1420.456 < x < 3.456Answer:
An answer is twenty.
Step-by-step explanation:
0.35^20 is the expression the equation would be 0.35^20=7.609
or: 0.35 times 0.35 times 0.35 times 0.35 times 0.35 times 0.35 times 0.35 times 0.35 times... until you multiply 0.35 times 0.35 twenty times. Not 0.35 times 20, 0.35 times 0.35 twenty times, don't forget to move the decimal! An exponent is 20.
hope this helps!
heyyyyyy suuuupppp....can someone please help me with this? thank you! :)))
Answer:
A: Second option
B: 18%
Step-by-step explanation:
PART A
The second option
0.40c(0.15) + 0.60c(0.20)
If we have 40% men, and 15% of them are advanced
we can say 40% x 15% x c which is the same as 0.40 x 0.15 x c
Same thing for the women
0.60 x 0.20 x c
PART B
0.40c(0.15) + 0.60c(0.20)
= 0.06c + 0.12c
= 0.18c which is the same as 18% of c
please help
A coin is flipped three times, and the following list shows the possible outcomes.
HHH, HHT, HTH, HTT, THH, THT, TTH, TTT
What is the probability of getting exactly one head?
Enter your answer as a reduced fraction, like this: 3/14
Answer:
1/2
Step-by-step explanation:
A coin has 2 sides, and it is flipped 3 times. 3 x 2 = 6. Each flip only has a head, so 3 flips would have 3 heads.
3/6 = 1/2
Solve for x: x/3= 7
x= 21
x= 12
x= 7/3
x= 11
NEXT QUESTION
Answer:
x= 21
Step-by-step explanation:
[tex] \frac{x}{3} = 7 \\ \\ multiply \: both \: sides \: by \: 3 \\ \\ 3 \times \frac{x}{3} = 3 \times 7 \\ \\ \implies \cancel 3 \times \frac{x}{\cancel 3} = 21 \\ \\ \implies \: x = 21[/tex]
Four friends each flipped a coin different numbers of times. Alice got heads 75% of time.Mary got heads 8 out of 10 times. Sarah got heads 17 out of 20 times. Ellen got heads 3 5 of the time.
who had the greatest percentage of heads?
I FARTED HEHE
Step-by-step explanation:
IM 54
what is the best deal on flour .a .b .c .d
Answer:
2.5 is the best deal
Step-by-step explanation:
hope this helps
Dr. Orchid has 9 paintings she wants to hang side by side on her walls.
a) in how many ways can she arrange all 9 paintings?
b) if she wants to display 4 of the paintings, in how many ways can she choose the paintings she wishes to display?
The number of ways Dr. Orchid can arrange all 9 paintings is 362880 and the number of ways she can choose the paintings she wishes to display is 126.
What is combination?Combination is the way of arrangement or the collection of items in the particular order. The order of this group of items does not matter in the combination type of arrangement.
Dr. Orchid has 9 paintings she wants to hang side by side on her walls.
a)Number of ways she can arrange all 9 paintings-Total number of paintings is 9. She wants to arrange them side by side. Thus, the number of ways, she can arrange all 9 paintings is,
[tex]9!=9\times8\times7\times6\times5\times4\times3\times2\times1\\9!=362880[/tex]
b) Number of ways she can choose the paintings she wishes to display.She wants to display 4 of the paintings. The number of arrangement of 4 painting from 9 paintings is,
[tex]^9C_4=\dfrac{9!}{(9-4)!4!}\\^9C_4=\dfrac{9\times8\times7\times6\times5!}{5!\times4\times3\times2\times1}\\^9C_4=126[/tex]
Thus, the number of ways Dr. Orchid can arrange all 9 paintings is 362880 and the number of ways she can choose the paintings she wishes to display is 126.
Learn more about the combination here;
https://brainly.com/question/17139330
#SPJ1
find the median number of pumpkins
52,24,41,61,89,36,56
Rewrite the expression using only positive exponents. Show your work.
[tex]5^{-12} \cdot 32^{-3} \cdot 9^{-15}\\\\\\=\dfrac 1{5^{12}} \cdot \dfrac 1{32^3} \cdot \dfrac 1{9^{15}}\\\\\\=\dfrac 1{5^{12}} \cdot \dfrac 1{(2^5)^3}\cdot \dfrac 1{9^{15}}\\\\\\=\dfrac 1{5^{12} \cdot 2^{15} \cdot 9^{15} }\\\\\\=\dfrac 1{5^{12}\cdot 18^{15}}[/tex]
Answer:
[tex]\boxed{ \dfrac{1}{5^{12}} \times \dfrac{1}{32^{3}} \times \dfrac{1}{9^{15}}}[/tex]
Step-by-step explanation:
In this case, all the exponents are negative. To make them positive, take the term's reciprocal and change the exponents sign.
[tex]\implies 5^{-12} \times 32^{-3} \times 9^{-15}[/tex]
Changing the terms into it's reciprocal form:
[tex]\implies \dfrac{1}{5^{-12}} \times \dfrac{1}{32^{-3}} \times \dfrac{1}{9^{-15}}[/tex]
Changing the signs of the exponent:
[tex]\implies\boxed{ \dfrac{1}{5^{12}} \times \dfrac{1}{32^{3}} \times \dfrac{1}{9^{15}}}[/tex]
What type of error occurs if you fail to reject h0 when, in fact, it is not true?.
The type of error that occurs if you fail to reject h0 when, in fact, it is not true is a type 2 error.
What is a type 2 error?Type 2 error is when the null hypothesis is not rejected even though it is not false. Type 1 error is when the null hypothesis is rejected when it is true. A type 2 error leads to a false negative which is also known as an error of omission.
To learn more about type 2 error, please check: https://brainly.com/question/20914617
#SPJ1
Melanie is making a piece of jewelry that is in the shape of a right triangle. The two shorter sides of the piece of jewelry are 6 mm and 8 mm. Find the perimeter of the piece of jewelry. 18 mm 24 mm 22 mm 20 mm
4. The circumference of a circle is 117 inches.
What is the area, in square inches, of the circle? Express your answer in terms of it.
Answer:
1089.34in²
Step-by-step explanation:
A=πr2
C=2πr
Solving for A
A=Csquared/4π = 117 squared / 4 * π = 1089.33601in²
Hope it helps
The cumulative frequency diagram shows information about the ages of employees in two companies.
Work out the IQR for both companies and compare them.
Explain your answer in the comment box.
Answer:
Company A = 35 Company B = 45
Step-by-step explanation:
70x3/4 = 52.5
70x1/4 = 17.5
52.5 - 17.5 = 35
90x1/4 = 22.5
90x3/4 = 67.5
67.5 - 22.5 = 45
Hence, Company A = [tex]35[/tex] and Company B = [tex]45[/tex].
What is the equation?
The definition of an equation is a mathematical statement that shows that two mathematical expressions are equal.
Here given that,
The cumulative frequency diagram shows information about the ages of employees in two companies. Work out the IQR for both companies and compare them.
So, For the Company A
[tex]70[/tex]×[tex](\frac{3}{4})\\[/tex]
[tex]=70[/tex]×[tex](0.75)\\[/tex]
[tex]=52.5[/tex]
[tex]70[/tex]×[tex]\frac{1}{4}\\[/tex]
[tex]= 70[/tex]×[tex](0.25)\\[/tex]
[tex]=17.5[/tex]
So,
[tex]52.5- 17.5 = 35[/tex]
So, Company A is [tex]35[/tex].
For Company B,
[tex]90[/tex]×[tex]0.25 = 22.5[/tex]
[tex]90[/tex]×[tex]\frac{3}{4} = 67.5[/tex]
Then,
[tex]67.5 - 22.5 = 45[/tex]
So Company B is [tex]45[/tex].
Hence, Company A = [tex]35[/tex] and Company B = [tex]45[/tex].
To know more about the equation
https://brainly.com/question/12788590
#SPJ2
What is the y-intercept of the equation y = 1.5x – 4.5?
Answer:
The y-intercept is (0,-3
Step-by-step explanation:
Y=mx+bY= 1.5x-4.5So (0,-3) is the y-intercept.Step-by-step explanation:
to find the y intercept you simply equate x to 0. therefore, the y intercept is -4.5
and its coordinate is:
(0, -4.5)
When the clock breed 6 o’clock what type of angle is shown
Answer:
a straight angle
Step-by-step explanation:
the minute and hour hand are straight lined up the hour being on the six and the minute being on the twelve
Why is this equation: [tex]\frac{(x-2)^{2}}{24} + \frac{(y+5)^{2}}{29}=1[/tex] an ellipse and not a circle?
Usually, you can tell if it's an ellipse because the coefficients of x and y are different. Here, though, they're the same, yet every website is telling me it's an ellipse and not a circle. Why is that?
THANKS!
well, your observation is correct, for the form
Ax² + Bx + Cy² + Dy + E = 0if the coefficients are the of x² and y² are different and the same sign then we have an ellipse, hmmm I usually see a circle as an ellipse with equal major and minor axes, because is basically just that.
However, the rational form you have is that of an ellipse indeed, we can change it about to the form above and you'll see it so.
Just bear in mind that for the rational form for conics
if both fractions are positive and their denominator different, is an ellipse
if both fractions are positive and their denominator equal, is a circle
if one of the fractions is negative, then we have a hyperbola, and on a hyperbola the traverse axis is always the denominator with the positive fraction, so if the denominator is under the "x" fraction, then the traverse axis is horizontal, if under the "y" fraction, then vertical.
based on that fraction, is an ellipse with a center at (2 , -5).
now, the larger denominator is 29 and it's under the "y" variable, that means the major axis is in the direction of the y-axis, so is a vertical ellipse if you wish. Check the picture below.
Molly is studying two number patterns. Pattern A starts at 0 and has the rule "add 3." Pattern B starts at 0 and has the rule "add 6." What is the relationship between corresponding terms in the two patterns?
The relationship between corresponding terms in the two patterns is B(n) = 2A(n) where the A(n) and B(n) is the nth terms of the pattern A and pattern B.
What is a sequence?It is defined as the systematic way of representing the data that follows a certain rule of arithmetic.
We have Pattern A starts at 0 and has the rule "add 3"
Pattern A:
0, 3, 6, 9, 12.....and so on
Pattern B starts at 0 and has the rule "add 6."
Pattern B:
0, 6, 12, 18, 24, 30.... and so one
In the pattern A we can find the nth term:
First term = 0, common difference = 3
A(n) = 0 + (n-1)3 = 3(n-1)
Similarly in the pattern B we can find the nth term
First term = 0, common difference = 6
B(n) = 0 + (n-1)6 = 6(n-1)
The relation can be derived between the nth term of pattern A and pattern B as follows:
B(n) = 2A(n)
Thus, the relationship between corresponding terms in the two patterns is B(n) = 2A(n) where the A(n) and B(n) is the nth terms of the pattern A and pattern B.
Learn more about the sequence here:
brainly.com/question/21961097
#SPJ1
Find the 12th term of the geometric sequence 5, 15, 45, ...5,15,45,...
Answer:
885735
Step-by-step explanation:
5
x 3
15
x 3
45
x 3
135
x 3
405
x 3
1215
x 3
3645
x 3
10935
x 3
32805
x 3
98415
x 3
295245
x 3
885735
Answer:
885735
Step-by-step explanation:
A parabola opening up or down has vertex (0,5) and passes through (4,1). Write its equation in vertex form.
Answer:
see below
Step-by-step explanation:
y = a ( x-0)^2 + 5 sub in the point given to calculate 'a'
1 = a (4)^2 + 5
-4 = 16a
a = - 1/4
y = -1/4 x^2 + 5
Help its 7th grade math
Answer:
Slope: 1
Y-Intercept: 3
Equation of the line: y=x+3
Step-by-step explanation:
1. Slope
Get two random points (eg. 0,3; -3,0)
x1-x2/y1-y2
0-(-3)/3-0
0+3/3
3/3=1
2. Y-intercept
The value of x when y=0
3. Equation of the line
y= mx+b
m= slope
b= y-intercept
y=1x+3
y=x+3
Find the median of the data. 1, 8, 9, 2, –7, –5
Answer:
5.5
Step-by-step explanation:
firrst arrange them from least to greatest:
1,8,9,2,-5,-7
then cross out each side one by one until its in the middle
which leaves with 9 and 2
add both together
and get 11
divide by 2 which is 5.5
Find the mean of the following numbers:
12
1
10
9
3
4
9
7
9
Answer:
7.11
Step-by-step explanation:
You will add all of those numbers and divide them by the amount of numbers you added. And I rounded the answer to 2 decimal places, seeing that it is a recurring decimal.
What is the perimeter of triangle ron? 10.0 units 15.0 units 18.7 units 23.7 units
The perimeter of the triangle RON is the sum of the side lengths
The perimeter of the triangle is 15 units
How to determine the perimeter of triangle?From the question, we have:
ON = 5 units
Side lengths ON and OR are radii of the circle O.
So, we have:
OR = ON = 5 units
The chord RN has a length of 5 units.
So, the perimeter of the triangle is:
P = OR + ON + RN
This gives
P = 5 + 5 + 5
Evaluate
P = 15 units
Hence, the perimeter of the triangle is 15 units
Read more about perimeter at:
https://brainly.com/question/17297081
Answer:
RON = 15.0
Step-by-step explanation:
Just did the test and got it right.
But question was I the only one who thought of Ron Weasley
Which expression is equivalent to 27/125?
Answer:
27/125
Step-by-step explanation:
Clearly, 27 and 125 are perfect cubes as:
27 = 3 × 3 × 3125 = 5 × 5 × 5Thus, this can be written as:
⇒ 27/125⇒ 3 × 3 × 3/5 × 5 × 5⇒ (3/5)³Given options:
a) (3/5)³b) 3/(5³)c) (3/4)²d) (3³/5⁵)Choice A
Which expression is equal to...
A plane left Chicago at 8:00 am. At 1:pm, the plane landed in Los Angeles, which is 1500 miles away. What was the average speed of the plane for the trip?
(average rate of change)
Answer:
it took the plane 5 hours to get there and now that you know the time it took for the plane to get there divide it by the miles which equals 300 miles per hour
Please please help!!!!!!!!!
Find the length of the segment indicated.
A. 26.3
B. 11.8
C. 21.1
Answer: C
Step-by-step explanation:
According to this box plot of test scores, the middle 50% of the class scored between what two scores?
options:
96-100
73-96
60-73
85-90
73-96
For box plots, the two edges of the box represent the 25% and 75% mark, meaning everything in between those two lines is the middle 50%. In this case the lines are at 73 and 96.