Let's set up the variables for the two numbers --> 'a' , 'b'
Now let's set up some equations based on the given information:
sum of two numbers is 6 --> a + b = 6sum of their squares is 90 --> a^2 + b^2 = 90Equations:
a + b = 6 -- equation 1a^2 + b^2 = 90 -- equation 2Solve (equation 1) for b in terms of a
b = a - 6 -- equation 3
(equation 3) into (equation 2)
a^2 + (a - 6)^2 = 90
a^2 + a^2 - 12a + 36 = 90
2a^2 - 12a - 54 = 0
(2a + 6)(a - 9) = 0
a = -3 -- equation 4
a = 9 -- equation 5
(equation 4) into (equation 1)
-3 + b = 6
b = 9 - --- a = -3, b= 9
(equation 5) into ( equation 1)
9 + b = 6
b = -3 - --- a = 9, b= -3
Since the numbers are interchangeable, the two numbers are -3 and 9.
Hope it helps!
Pls answer i will mark u brainlist
Answer:
0%
Step-by-step explanation:
125/100x375
=468.75
75/100x375
= 281.25
gain= 468.75-375
=93.75
loss=375-281.25
=93.75
375x2=750
468.75+281.25
=750
750/750x100
=100%
100%-100%
=0%
its neither a gain nor a loss
Select the correct statements
∠G , ∠H , ∠K
∠G and ∠H are congruent as they have same shape and size. Their angle measure and length is same. Either of the shape is reflected over the x-axis. ∠K is congruent with the shape, due to same angle measure and is enlarged over the y-axis.
∠M is not congruent, it does not have similar shape. Their angle differs.
Answer:
H, G, K
Step-by-step explanation:
G and H are congruent. Their angle measure and length is same. K is congruent with the shape.
M is not similar it does not have the same shape. It's angle differs.
Find the area of the triangle.
14 m
24 m
The area of the triangle is
(Type a whole number.)
а
m3.
m.
m?
Which shows the expression below simplified? 0.000024 ÷ (4 × 10-3)
6 × 10-1
B.
6 × 10-2
C.
6 × 10-4
D.
6 × 10-3
Answer:
D. 6×10^-3
Step-by-step explanation:
When powers of the same base are divided, the power of the denominator is subtracted from the power of the numerator.
[tex]\dfrac{0.000024}{4\times10^{-3}}=\dfrac{24\times10^{-6}}{4\times10^{-3}}=\dfrac{24}{4}\times10^{-6-(-3)}=\boxed{6\times10^{-3}}[/tex]
__
A calculator or spreadsheet can help you with these.
algebra tile grid (x+2)(x-3)
Help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
$300
Step-by-step explanation:
multiply that 6000 in 0.05
h31p m3 pl3as3 1 d0nt know th!s
Answer:B
5x-8/12y
Step-by-step explanation:
Choose the net for the figure.
The required net figure is shown in A. Option A is correct.
What is 3d geometry?3D geometry is the study of shapes in 3D space using three coordinates: x-coordinate, y-coordinate, and z-coordinate. To discover the exact location of a point in 3D space, three criteria are required.
What is simplification?The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
here,
As the given figure is shaded on the square faces,
When it unfolds there will be three shaded squares, 2 unshaded pentagons, and two unshaded squares.
Thus, The required net figure is shown in A. Option A is correct.
Learn more about 3d -geometry here:
https://brainly.com/question/15451289
#SPJ2
In 153.72, which digit is in the hundredths place?
Answer:
2 is in the hundredths place
What is the area of the flag shown below? 2 3/4. 1 3/4
Answer:
the answer must be 7/4
I hope it helps you
The diameter of a circle is 22 millimeters. What is the circle's area?
Use 3.14 for PI
please answer i will give brainliest
Solution:
We know that:
Radius: Diameter/2Area of circle: (π)(r²)Step-1: Find the radius:
Diameter = 22 mm=> Radius: 22 mm/2=> Radius: 11 mmStep-2: Find the area of the circle:
Area of circle = (π)(r²)=> Area of circle = (3.14)(11²)=> Area of circle = (3.14)(121)=> Area of circle = 3.14 x 121 = 379.94 mm²[tex]\\ \rm\Rrightarrow Area=\pi r^2[/tex]
[tex]\\ \rm\Rrightarrow Area=(3.14)11^2[/tex]
[tex]\\ \rm\Rrightarrow Area=121(3.14)[/tex]
[tex]\\ \rm\Rrightarrow Area=379.9mm^2[/tex]
1) Which BEST describes the arrangement of the categories on the Pareto graph?
es
A) The categories are arranged in order of their frequencies from the least frequent to the most frequent on the Pareto graph.
B) The categories are arranged in order of their frequencies from the most frequent to the least frequent on the Pareto graph.
The categories are arranged in alphabetical order on the Pareto graph.
D) The categories are arranged in no specific order on the Pareto graph.
The arrangement of categories on the Pareto graph is such that B) The categories are arranged in order of their frequencies from the most frequent to the least frequent.
How is data organized on the Pareto graph?A pareto graph is such that the category which has the highest frequency will be shown first. The next highest is second and this goes on till the least.
The attached pareto graph does this by showing traffic as the first because it has the highest frequency.
In conclusion, option B is correct.
Find out more on pareto graphs at https://brainly.com/textbook-solutions/q-22-state-graph-pareto-chart-time-series-6#q-22-state-graph-pareto-chart-time-series-2.
good evening! Can someone please answer this, ill give you brainliest and your earning 50 points. Would be very appreciated.
Answer:
[tex]P=236000(1+0.04)^t[/tex]
Step-by-step explanation:
Exponential equation: [tex]y=a(1+r)^x[/tex]
where:
[tex]a[/tex] is the initial value[tex]r[/tex] is the growth rate (in decimal form)[tex]x[/tex] is the independent variable[tex]y[/tex] is the dependent variableGiven:
Population is increasing at a rate of 4% each yearPopulation in 2000 was 236000Let t = number of years since 2000Let P = populationTherefore,
[tex]a[/tex] = 236000[tex]r[/tex] = 4% = 4/100 = 0.04[tex]t[/tex] is the independent variable[tex]P[/tex] is the dependent variable[tex]\implies P=236000(1+0.04)^t[/tex]
Note the rule
[tex]\\ \rm\rightarrowtail y=P(1+\dfrac{r}{100})^t[/tex]
Now
P=236000Rate of change=r=4%Put it
[tex]\\ \rm\rightarrowtail y=236000(1+4/100)^t[/tex]
[tex]\\ \rm\rightarrowtail y=236000(1+0.04)^t[/tex]
State the period, midline, amplitude, and range of the given graph. (I will mark brainliest, my answers were wrong!)
Answer:
Period: [tex]4\pi[/tex]
Midline: y = 2
Amplitude: 3
Range: [-1, 5]
Step-by-step explanation:
Period - from one peak to the next (or from one trough to the next)
⇒ Period: [tex]2\pi - (-2\pi )=4\pi[/tex]
Midline - center line
Range = -1 ≤ f(x) ≤ 5
[tex]\implies \sf midline =\dfrac{5-(-1)}{2}+(-1)=2[/tex]
⇒ Midline: y = 2
Amplitude - height from the center line to the peak (or to the trough)
Maximum height: y = 5
center line: y = 2
Therefore, amplitude = 5 - 2 = 3
Range - the set of all values that the function takes
-1 ≤ f(x) ≤ 5 → [-1, 5]
Period:-
Only one peak is shown so we take distance between troughs
Period=2π+2π=4π#Midline
The mean of pitch
[-1,5]Midline::
[tex]\\ \tt\Rrightarrow \dfrac{5+1}{2}-1=3-1=2[/tex]
y=2#Amplitude
Distance between trough and midline
2-(-1)=2+1=3#Range:
The pitch
[-1,5]The speed that a tsunami can travel is modeled by the equation s = 356 StartRoot d EndRoot , where S is the speed in kilometers per hour and d is the average depth of the water in kilometers. What is the approximate depth of water for a tsunami traveling at 200 kilometers per hour?
Answer:
0.32km
Step-by-step explanation:
The speed that a tsunami can travel is modeled by the equation s = 356 StartRoot d EndRoot , where S is the speed in kilometers per hour and d is the average depth of the water in kilometers.
This is written mathematically as:
S = 356√d
What is the approximate depth of water for a tsunami traveling at 200 kilometers per hour?
S = 200km/hr
Hence:
200km/hr = 356√d
Divide both sides by 356
200/356 = 356√d/356
√d = 200/356
Square both sides
(√d)² = (200/356)²
d =(0.5617977528)²
d = 0.3156167151km
Approximately = 0.32km
Answer:
0.32 kilometers
Step-by-step explanation:
edge 2020
hope this helps!
you get an 4% commission on a $300 T.V.How much commission you earned?
Answer:
I'm pretty sure it's 12. hope it helps.
p is inversely proportional to v when v=8 p=5 given that p=40/v calculate the value of p when v is 2
Answer:
p = 20
Step-by-step explanation:
Given that the equation of variation is
p = [tex]\frac{40}{v}[/tex]
When v = 2 , then
p = [tex]\frac{40}{2}[/tex] = 20
What is the value of B in terms of π?
____π in.2
Answer:
Step-by-step explanation:
B is base area of cone and h is the height.
[tex]V =\dfrac{1}{3}Bh\\\\\\96\pi =\dfrac{1}{3}B*18\\\\\\96\pi =B *6\\\\\\Now, \ divide \ the \ entire \ equation \ by \ 6 \\\\\dfrac{96\pi }{6}=\dfrac{B*6}{6}\\\\\\16\pi = B[/tex]
Answer: B = 16 π in²
Ty is right inches taller than his brother Reece if ty is 42 inches tall how tall is Reece. Write an equation using a variable r?
Somebody help please ASAP!
Answer: 4th box
Step-by-step explanation:
What is the potential energy of a 3 kg ball that is on a shelf 2 meters high?
Step-by-step explanation:
mass(m)= 3kg
height(h)= 2m
gravity(g)= 9.8 m/s^2
P.E.= mgh
=3*2*9.8
=58.8 Joule
Answer:
58.84 Joules
Step-by-step explanation:
3(Mass)*2(Height)*9.8=58.84J
-650 ÷ (-26)
with solutions
Answer:
The answer is 25
Step-by-step explanation:
I used a calculator. if this is for a quiz for other people do
A. 25
B. 34
C. -5
D. -65
How would u model 3(2x - 4)?
3(2x-4)
= 3*2x-3*4
= 6x-12
What is 4.75 as a mixed number and improper fraction
Answer:
improper fraction- 475/100
mixed fraction- 4 75/ 100
Which student correctly translated the phrase ""twice the sum of a number cubed and nine"" and evaluated it for r = 3? Antonio's work. 2 (r cubed 9) = 2 (3 cubed 9) = 2 (9 9) = 2 (18) = 36. Jessica's work. 2 (r cubed 9) = 2 (3 cubed 9) = 2 (27 9) = 2 (36) = 72. Maria's work. 2 r cubed 9 = 2 3 cubed 9 = 2 27 9 = 29 9 = 38. Mark's work. 2 3 r 9 = 2 3 (3) 9 = 2 9 9 = 11 9 = 20.
By simplifying given phrase "twice the sum of a number cubed and nine" and evaluating it for r = 3 we got that Jessica done it correctly
What is cube of any number ?Cube of any number means multiplying that number with itself 3 times.
For example [tex]3^3=3\times3\times3=27[/tex]
Here given phrase is
twice the sum of a number cubed and nine
let number be r
We can write it as
[tex]2(r^3+9)[/tex]
Now evaluating it for r=3
[tex]2(3^3+9)[/tex]
Now we can simplify it as
[tex]2(27+9)\\\\=(36)\\\\=72[/tex]
By simplifying given phrase "twice the sum of a number cubed and nine" and evaluating it for r = 3 we got that Jessica done it correctly
To learn more about cube visit : https://brainly.com/question/107100
Answer:
B
Step-by-step explanation:
sorry if I'm late<3
Calculate the amount of property tax Alice Brown owes on her home, which has an assessed value of $90,000. The tax rate in her community is $31. 00 per $1,000 of assessed value.
Answer:
$2,790
Step-by-step explanation:
This is the concept of commercial arithmetic, the amount of tax calculated from $90,000 will be:
Rate*value
=31/1000*90000
=$2,790
the answer is $2,790
A oil company has a large tank that holds the oil before it is distributed. Which of the following amounts of oil would fit in the tank properly?
A: 21,000
B: 30,000
C: 20,000
D: 22,000
(5x + k)2 = mx2 + 70x + 49
Find m
Find k
Answer:
10x+2k=(2m+70) x + 49
10= 2m+70
2m=-60
m = -30
2k=49
k= 49/2
I NEED HELP ASAP Im not understanding and its due
Answer:
y = x/2 means that it's whatever x is and that divided by 2
Step-by-step explanation:
For example for 8 it would be y=8/2 which is 4
14 would be 7
3 would be y= 3 x 2 your multiplying because the value is y so it's 6
Answers (from top to bottom)
y = 4y = 7x = 6Reasoning:
The rule says if you know what x is, divide by 2 to get y
In the first row, if x = 8, then y = x/2 = 8/2 = 4.
In the second row, x = 14 leads to y = 7 since 14/2 = 7.
The third row has us go in reverse. We multiply the y value by 2 to find x
This is because y = x/2 solves to x = 2y. So if y = 3, then x = 2y = 2*3 = 6.
We can then check this to get y = x/2 = 6/2 = 3.
The parabola y=x^2 is shifted down by 6 units and to the right by 5 units. What is the equation of the new parabola
Answer:
y = (x - 5)^2 - 6
Step-by-step explanation:
If you slide a parabola up or down, that translation will show up in the equation just tacked on to the end of the equation. Down 6 will be a MINUS 6.
A horizontal shift will show up in the equation tucked in close to the x in a set of parenthesis. BUT it will look less intuitive...a right shift will be a MINUS.
Untransformed:
y = x^2
Shift down 6:
y = x^2 - 6
Shift right 5:
y = (x - 5)^2
Down6 AND Right5:
y = (x - 5)^2 - 6