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
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Answer:
B
Step-by-step explanation:
sorry if I'm late<3
Which expression is equivalent to 10x2 + (6x − 8x2) + 3 − (9x +4)?
You are missing expression..
But if you simplify you can find the answer (given below)
Answer:
[tex]2x^2-3x-1[/tex]
Step-by-step explanation:
[tex]10x^2+\left(6x-8x^2\right)+3-\left(9x+4\right)[/tex]
[tex]\mathrm{Apply\:rule}:\quad \:a+\left(b+c\right)=a+b+c[/tex]
[tex]10x^2+\left(6x-8x^2\right)=10x^2+6x-8x^2[/tex]
[tex]=10x^2+6x-8x^2+3-\left(9x+4\right)[/tex]
[tex]\mathrm{Group\:like\:terms}[/tex]
[tex]=-\left(9x+4\right)+10x^2-8x^2+6x+3[/tex]
[tex]\mathrm{Add\:similar\:elements:}\:10x^2-8x^2=2x^2[/tex]
[tex]=-\left(9x+4\right)+2x^2+6x+3[/tex]
[tex]\mathrm{Apply\:the\:distributive\:law}:\quad \:-\left(a+b\right)=-a-b[/tex]
[tex]-\left(9x+4\right)=-9x-4[/tex]
[tex]=-9x-4+2x^2+6x+3[/tex]
[tex]\mathrm{Group\:like\:terms}[/tex]
[tex]=2x^2-9x+6x-4+3[/tex]
[tex]\mathrm{Add\:the\:numbers:}\:-4+3=-1[/tex]
[tex]=2x^2-9x+6x-1[/tex]
[tex]\mathrm{Add\:similar\:elements:}\:-9x+6x=-3x[/tex]
[tex]=2x^2-3x-1[/tex]
Answer = [tex]2x^2-3x-1[/tex]
~Learn with Lenvy~
Tina is planning to fence in an area for her dog. She wants to create a rectangular area of 1,600 square feet for her pet and can afford to purchase 160 feet of fence. In two or more complete sentences, explain the algebraic model, calculations and reasoning necessary to determine the dimensions of the rectangular area.
The dimensions of the rectangular area of Tina's fence is 40 ft by 40 ft
Area of a rectangle:area = lwwhere
l = length
w = width
She wants to create a rectangular area of 1,600 square feet for her pet . Therefore,
area = 1600 ft²lw = 1600
Therefore,
perimeter = 160 ft
Then,
perimeter of rectangle = 2(l + w)
160 = 2(l + w)
l + w = 80
Let's combine the equations
lw = 1600
l + w = 80
l = 80 - w
Therefore,
w(80 - w) = 1600
80w - w² = 1600
Therefore,
w² - 80w + 1600 = 0
w² - 40w - 40w + 1600 = 0
w(w - 40) - 40(w - 40) = 0
(w - 40)(w - 40) = 0
w = 40 or 40
Therefore, the dimensions can be calculated as follows:
lw = 1600
40l = 1600
l = 1600 / 40
l = 40 ft
Therefore, the dimensions are 40ft by 40 ft
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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.
The cafeteria sold 200 grilled cheese sandwiches, 100 tacos, and 150 grilled chicken salads. What is the ratio of grilled chicken salads to the total number of lunches sold?
Answer:
3:2:1
Step-by-step explanation:
2 is the grilled chicken
Hope this helps.
(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
$74 dollars for 6 hours. what is hourly payrate of dollars per hour
Answer:
$12.33
Step-by-step explanation:
74/6 = 12.33
Answer:
12.3
Step-by-step explanation:
I hope this is right!
Find the area of the triangle.
14 m
24 m
The area of the triangle is
(Type a whole number.)
а
m3.
m.
m?
How would u model 3(2x - 4)?
3(2x-4)
= 3*2x-3*4
= 6x-12
geometric mean between 2 and 2/9
Answer:
2/3.
Step-by-step explanation:
Geometric mean = √(2 * 2/9)
= √(4/9)
= 2/3.
The geometric mean between 2 and 2/9 is 2/3.
What is mean?We can define the mean of the given data set as the average of all the
numbers. Mathematically, we can write mean as -
M = ∑x{i}/n
Given is to find the geometric mean between 2 and 2/9.
The general formula used to calculate the geometric mean is -
[tex]$\left(\prod _{i=1}^{n}x_{i}\right)^{\frac {1}{n}}={\sqrt[{n}]{x_{1}x_{2}\cdots x_{n}}}[/tex]
We can write the geometric mean between 2 and 2/9 as -
GM = √(2 x 2/9)
GM = √(4/9)
GM = √4/√9
GM = 2/3
Therefore, the geometric mean between 2 and 2/9 is 2/3.
To solve more questions on Mean, visit the link below-
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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]
Given sec A = - squareroot 85/6 and that angle A is in Quadrant II, find the exact value of
cot A in simplest radical form using a rational denominator.
Answer: -6/7
Step-by-step explanation:
169 as sum of odd numbers
Answer:
3 odd numbers can make 169, for an example,
33 + 63 + 73
If my answer helped, then kindly mark me as the brainliest!!
Thank You!!
Answer:
Step-by-step explanation:
Sum of first n odd numbers=n²
13²=169
Therefore sum of 13 odd numbers is 13²
1+3+5+7+9+11+13+15+17+19+21+23+25=169=13²
Suppose a certain traffic light shows a red light for 50 seconds, a green light for 50 seconds, and a yellow light for 5 seconds. If you look at this light at some randomly selected instant, what is the probability you will see a yellow or green light?
Answer:
[tex]P(Yellow\ or\ Green) = 0.524[/tex]
Step-by-step explanation:
Given
[tex]Yellow = 5\ seconds[/tex]
[tex]Green = 50\ seconds[/tex]
[tex]Red = 50\ seconds[/tex]
Required
Determine the probability of Green or Yellow
First, we need to determine the total time
[tex]Total = 50 + 50 + 5[/tex]
[tex]Total = 105\ seconds[/tex]
Next, is to determine the required probability
This is calculated as follows:
[tex]P(Yellow\ or\ Green) = P(Yellow) + P(Green)[/tex]
[tex]P(Yellow\ or\ Green) = \frac{n(Yellow)}{Total} + \frac{n(Green)}{Total}[/tex]
[tex]P(Yellow\ or\ Green) = \frac{5}{105} + \frac{50}{105}[/tex]
[tex]P(Yellow\ or\ Green) = \frac{5 + 50}{105}[/tex]
[tex]P(Yellow\ or\ Green) = \frac{55}{105}[/tex]
[tex]P(Yellow\ or\ Green) = 0.52380952381[/tex]
[tex]P(Yellow\ or\ Green) = 0.524[/tex] -- Approximated
Multiply –2(x + 6)(3x – 5). Choose the simplified expression.
Answer:
−6x^2 −26x +60
Step-by-step explanation:
Simplify the equation.
-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
What is the value of n for: n - 10 = 20
Answer:30
Step-by-step explanation: 20+10
Answer:
30
Step-by-step explanation:
n-10 = 20 add 10 to both sides
+10 +10
n=30
Hope this helps :)
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]
What is the simplified form of the following expression? Assume x greater-than 0 RootIndex 4 StartRoot StartFraction 3 Over 2 x EndRoot EndFraction.
By simplifying we got that x greater-than 0 RootIndex 4 StartRoot StartFraction 3 Over 2 x EndRoot EndFraction. can be written as : [tex]2x^4-3 > 0[/tex]
What is root index ?In [tex]y=a^{1/n}[/tex] n is root index of a.
Here given equation
x greater-than RootIndex 4 StartRoot Start Fraction 3 Over 2 x EndRoot EndFraction.
It can be written as:
[tex]x > (\frac{3}{2} )^{1/4}\\\\x^4 > \frac{3}{2}\\ \\2x^4 > 3\\\\2x^4-3 > 0\\\\[/tex]
By simplifying we got that x greater-than 0 RootIndex 4 StartRoot StartFraction 3 Over 2 x EndRoot EndFraction. can be written as : [tex]2x^4-3 > 0[/tex]
To learn more about root index visit : https://brainly.com/question/8952483
A football coach is planning on purchasing training videos
for each player who misses his summer camp. He randomly asks 15 players, and 4 of them say they will miss the camp. How many players out of 75 can the coach expect to miss the summer camp?
What is 4.75 as a mixed number and improper fraction
Answer:
improper fraction- 475/100
mixed fraction- 4 75/ 100
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
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]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.
If sine theta almost-equals negative 0.7660, which of the following represents an approximate value of tangent theta, for 180 degrees less-than-theta less-than 270 degrees? 0.7660 0.8392 1.1916 1.4198
The value of the tangent when the angle is from 180 to 270 is 0.9392. Then the correct option is B.
What is trigonometry?Trigonometry deals with the relationship between the sides and angles of a right-angle triangle.
If sine Θ almost equals negative 0.7660.
Then the angle will be
[tex]\theta = sin ^{-1} (-0.7660)\\\\\theta = -49.996^o[/tex]
The interval of the angle is from 180 degrees to 270 degrees. Then we have to add 270 degrees in the angle. Then the angle will be
[tex]\theta = -49.996^o + 270^o\\\\\theta = 220.0039^o[/tex]
Then the tangent of Θ will be given as
[tex]tan \theta = tan \ (220.0039^o) = 0.8392[/tex]
More about the trigonometry link is given below.
https://brainly.com/question/22698523
Answer:
C. 1.1916
Step-by-step explanation:
Have a great day
Find the equation of the line that passes through (3,1) and is parallel to y=3−2x. Leave your answer in the form y=mx+c
How do I find the equation of the line y=mx + C, passing through the points M (-2, -3) and T (3, 7)?
How do I find the equation of the line y=mx + C, passing through the points M (-2, -3) and T (3, 7)?
A2A
y = mx + C is often called slope-intercept form.
There are two pieces of information you will need to solve for. #1: The slope, which is m, and #2: the y-intercept, which is C (incidentally I learned this as y = mx + b, instead of y = mx + C, but that is a trivial detail)
Step #1 Find the slope. use the formula slope = (y₂ - y₁)/(x₂ - x₁) => (7 - -3)/3 - -2) = 10/5 = 2. m=2
Step #2 Find the y-intercept. Solve for y = mx + C when x is 2 and x = -2 and y = -3 -3 = 2(-2) + C => -3 = -4 + C add 4 to both sides, 1 = C
Equation: y = 2x + 1.
Check: x = 3 => y = 2(3) + 1 => y = 6 + 1 => y = 7 => (3, 7)
Check: x = -2 => y = 2(-2) + 1 => y = -4 + 1 => y = -3 => (-2, -3)
help me please thank you
Answer:
Step-by-step explanation:
6) The diagonals of an isosceles trapezoid are congruent.
7) D) A diagonal of a kite bisects each of the non congruent angles and the other diagonal.
8) C) The diagonals of an isosceles trapezoid are congruent.
Hint:
Properties of isosceles trapezoid:
1. Only one pair of opposite sides are parallel.
2. The diagonals are congruent.
3. The base angles are congruent.
4. The opposite angles are supplementary.
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
h31p m3 pl3as3 1 d0nt know th!s
Answer:B
5x-8/12y
Step-by-step explanation:
The plane is equipped with an orthogonal frame (0, i, j).
Let (d) be the line with cartesian equation:
(d) : 2x-3y+1=0 and A(-4,3)
Find the coordinates of the orthogonal projection of A on the (d).
Answer:
what
Step-by-step explanation:
you know you should drink some water. 75% of americans are dehydrated and don't know it. being hydrated will fix your problems. because being dehydrated will make you not able to do simple math :)