Answer:
14*2
Step-by-step explanation:
8 x {22 x [15 + (14 x 2)]}
With multiple parentheses work from the inside out
The inner most parentheses are
14*2
Beth and Brianne had a yard sale to raise money. They donated 2 of their profits to their 10 school sports teams, 3 to the animal shelter, and 1 to the hospital. Which model can be 10 10 used to find the total fraction of their profits that they donated? Explain your thinking.
Answer:
Model 1
Step-by-step explanation:
Model 1 correctly displays the amount of money Beth and Brianne donated and raised at the yard sale. 2/10 + 3/10 + 1/10 = 6/10 (this would be the total amount donated.If 6/10 was donate, 4/10 of the total profit still remains. Model 2 does not represent the total profit that the girls have remaining.Hello, can someone help me with the working out to this problem
[tex]\text{If}~ \alpha ~\text{and}~ \beta~ \text{are the roots,}\\ \\x^2 -(\alpha + \beta)x +\alpha\beta = 0\\\\\text{For}~ x^2+3x-2=0\\\\\alpha +\beta=-\dfrac ba=-3\\ \\\alpha \beta = \dfrac ca = -2\\\\[/tex]
[tex]\text{So,~} \alpha^3+\beta^3 = (\alpha + \beta)(\alpha^2 + \beta^2 -\alpha \beta)\\ \\~~~~~~~~~~~~~~~~=(\alpha+\beta)\left[(\alpha +\beta)^2 -2\alpha \beta - \alpha \beta\right]\\\\~~~~~~~~~~~~~~~~=(\alpha+\beta)\left[(\alpha +\beta)^2 -3\alpha \beta \right]\\\\~~~~~~~~~~~~~~~~=-3\left[(-3)^2-3(-2)\right]\\\\~~~~~~~~~~~~~~~~=-3(15)\\\\~~~~~~~~~~~~~~~~=-45\\\\\text{And}~~~\alpha^3 \beta^3= (\alpha \beta )^3 = (-2)^3 = -8\\\\[/tex]
[tex]\text{Hence the equation whose roots are}~ \alpha^3 ~\text{and}~ \beta^3~ \text{is:}\\ \\ x^2-(\alpha^3 + \beta^3)x +\alpha^3 \beta^3 =0\\\\\implies x^2 -(-45)x+(-8)=0\\\\\implies x^2 +45x -8=0[/tex]
Beth Hazelton purchased a compact vehicle with an $18,240.00. MSRP including the delivery and title fee. She selected a leather interior which costs 5 times the upgraded stereo system. If the total cost of the vehicle, including a 7% sales tax, was $21,365.20 find the cost of the (a) stereo system and (b) leather interior. Use the example in the book to help you with solving this problem.
Answer:
price of leather thingy= $2906.62
price of stereo system = $581.33
Step-by-step explanation:
final cost minus cost of total before adding the leather.
21,365.20
- 18,240.00
= $3125.2
to find the exact price of the leather since the 7% tax was included in the price we mulitply by .93
3125.2 x .93 = 2906.62
we know the stereo is 1/5 of the price of the leather so we divide by 5 2906.63 ÷ 5 = 581.33
there u go! pls give brainliest :D
Find the surface area of the cube in square feet.
Answer:
The answer is 2/3 or 0.67 square foot.
Step-by-step explanation:
Given;Length (l) = 1/3 ftTo Find;Surface area of cubeFormula;Area = 6l²Now,
A = 6l²
A = 6 × (1/3)² ft
A = 6 × 1/9 ft
A = 6/9 ft
A = 2/3 square foot
Thus, The surface area of cube is 2/3 or 0.67 square foot.
A rare species of insect was discovered in the rain forest. In order to protect the species,
environmentalists declare the insect endangered and transplant the insects into a protected area.
The population of the insect t months after being transplanted is given by P(t).
P(t) =
60(1+0.4)
0.01t+3
a. How many insects were discovered? In other words, what was the population when t = 0?
b. What will the population be after 5 years? Round to the nearest whole insect.
Using the given function, it is found that:
a) 20 insects were discovered.
b) The population after 5 years will be of 417 insects.
What is the function for the number of insects after t months?As stated in the exercise, it is given by:
[tex]P(t) = \frac{60(1 + 0.4t)}{0.01t + 3}[/tex]
Item a:
[tex]P(0) = \frac{60[1 + 0.4(0)]}{0.01(0) + 3} = \frac{60}{3} = 20[/tex]
20 insects were discovered.
Item b:
5 years = 60 months, hence:
[tex]P(60) = \frac{60[1 + 0.4(60)]}{0.01(60) + 3} \approx 417[/tex]
The population after 5 years will be of 417 insects.
More can be learned about functions at https://brainly.com/question/25537936
What equation results from completing the square and then factoring?
x^2 + 4x = 5
A. (x + 2)^2 = 3
B. (x + 2)^2 = 7
C. (x + 2)^2 = 1
D. (x + 2)^2 = 9
Answer:
(x+2)^2 = 9
Step-by-step explanation:
To complete the square we need to add 4 to both sides of the equation,
Why we add 4 to both sides? Because if we add it to one side only, the equation will turn into an inequation
x^2 + 4x + 4 = 5 + 4
x^2 + 4x + 4 = 9 and the factor of the expression is (x+2)*(x+2) = 9
(x+2)^2 = 9
I typically give 12% of money I receive to my church. My uncle died recently and left me some money. I donated $408 to my church in his memory. How much did he leave to me in his will?
your uncle left you with "x" total, which is the 100%, now, we also know that 408 is 12% of that, so
[tex]\begin{array}{ccll} amount&\%\\ \cline{1-2} x & 100\\ 408& 12 \end{array} \implies \cfrac{x}{408}=\cfrac{100}{12}\implies \cfrac{x}{408}=\cfrac{25}{3} \\\\\\ 3x=10200\implies x=\cfrac{10200}{3}\implies x=3400[/tex]
What is 4/3 + 2/11? Simplest form but as a fraction
Answer:
50/33 is the answer that needs to written. Yes this is the simplest form.
Answer:
50/33
Here you go
Find the distance between Q and R
Answer:
Step-by-step explanation:
Find the length of the ramp. ?
35 ft
12 ft
The length of the ramp is_____ ft.
Answer:
37 Feet
Step-by-step explanation:
We can use Pythagoras Theorem to solve this:
[tex]a^{2} +b^{2} =c^{2}[/tex]
[tex]35^{2} +12^{2} =c^{2}[/tex]
[tex]1225+144=c^{2}[/tex]
[tex]1369=c^{2}[/tex]
[tex]\sqrt{1369} =c[/tex]
37 = c
Answer:
37 ft
Step-by-step explanation:
Use Pythagorean Theorem for right triangles to find the hypotenuse
35^2 + 12^2 = Ramp^2 ramp = 37 ft
An angle measure 29•, what is the measure of it compliments
Answer:
The complement of 29° is the angle that when added to 29° forms a right angle (90° ).
Step-by-step explanation:
Hope this helps you!
You spin the spinner, flip a coin, then spin the spinner again. Find the probability of the compound event. Write your answer as a fraction or percent rounded to the nearest hundredth. (the spinner is 1-9)
The probability of spinning a 4, flipping heads, then spinning a 7 is
Answer:
1/162
Step-by-step explanation:
first spin 1/9
land heads 50/50
second spin 1/9
so (9 x 2) x 9
= 162
1
Answer:
1/162 or 0.62 % to the nearest hundredth.
Step-by-step explanation:
Prob(spinning a 4) = 1/9
Prob(spinning a 7) = 1/9
Prob(flipping a head) = 1/2
Required Probability = 1/9 * 1/2 * 1/9
1/162.
10 1/5 • 4 1/4 • 2 not simplified please
51/5 × 17/4 ×2
=51/5 ×17/2
= 867/10
Find the measure of the following arc.
mJH = ____
Step-by-step explanation:
the inner angle of 2 crossing segment lines is half of the sum of the 2 arc angles.
55 = (arc angle IG + arc angle JH)/2 = (76 + JH)/2
110 = 76 + JH
arc angle JH = 34°
The required arc angle JH measures 34 degrees.
What is a chord?In geometry, a chord is a line segment that connects two points on the circumference of a circle. The two endpoints of the chord lie on the circle, and the chord divides the circle into two segments - the major segment and the minor segment.
Given the problem, we are given that the inner angle measures 55 degrees. Thus, we can set up an equation using the formula and solve for the unknown value.
The equation is given as follows:
55 = (arc angle IG + arc angle JH)/2
We know that the arc angle IG measures 76 degrees, so we can substitute this value into the equation:
55 = (76 + arc angle JH)/2
Multiplying both sides of the equation by 2 yields:
110 = 76 + arc angle JH
Subtracting 76 from both sides of the equation gives:
arc angle JH = 34°
Therefore, the arc angle JH measures 34 degrees.
Learn more about chords here:
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What is the perimeter of the pentagon below? 3.2 cm?
Answer:
You didn't attach a picture of the pentagon, but the perimiter can easily be found using one of the following formulae:
Step-by-step explanation:
P = 5s, where s is the length of a side
P = 2r × Sin(180/5), where r is the radius
4,5,6,6,7,7,8,8,8,8,8,9,9
What is the standard deviation and variance for these students' quiz scores?
PLSSS HEELPPP A line passes through (3, -2) and (6, 2).
a. Write an equation for the line in point-slope form.
b. Rewrite the equation in standard form using integers.
a. y+2= 4/3(x+3); -4x+ 3y= -18
b. y+2= 4/3(x-3); -4x+3y= -18
c. y-2= 4/3(x-3); -4x+3y= 18
d. y-3= 4/3(x+2); -4x+3y= 17
Answer:
b)
Step-by-step explanation:
Question (a)
[tex]\sf let \ (x_1,y_1)=(3,-2)\\\\\sf let \ (x_2,y_2)=(6,2)[/tex]
[tex]\sf slope \ (m)=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{2-(-2)}{6-3}=\dfrac43[/tex]
Point-slope formula: [tex]\sf y-y_1=m(x-x_1)[/tex]
Substituting m and point (3, -2) into the formula:
[tex]\sf y-(-2)=\dfrac43(x-3)[/tex]
[tex]\sf y+2=\dfrac43(x-3)[/tex]
Question (b)
Rewrite in standard form:
[tex]\sf y+2=\dfrac43x-4[/tex]
[tex]\sf \implies y=\dfrac43x-6[/tex]
[tex]\sf \implies 3y=4x-18[/tex]
[tex]\sf \implies -4x+3y=-18[/tex]
PLEASE HELP ME WILL GIVE BRAINLIEST
Answer:
1 3/4, 0
Step-by-step explanation:
You have to go 1 3/4 to the right and 0 up.
if A varies direct as a square of R. Find the % increase in A if R is increase by 20%.
Answer:
20%
Step-by-step explanation:
A=R^2
120/100
=1.2
1.2R= new value of R
original of R=R
A^1/2=R
change/origionalx100%
(1.2A^1/2-A^1/2)
-------------------- x 100%
A^1/2
A^1/2 (1.2-1)
--------------- x100%
A^1/2
0.2
---- x100
1
0.2x100
=20%
Solve the inequality for x and identify the graph of its solution.
3(x + 1) < 6
Choose the answer that gives both the correct solution and the correct graph.
Answer:
the answer is B
hope the answer may help you
What is the area of the parallelogram shown? A) 60in B) 120in C) 140in D) 180in. + What is the area of a parallelogram that has a base 5 inches longer and the height 5 inches taller than a parallelogram shown? A) 230in B) 260in C) 290in D) 310in.
Answer:
B and B
Step-by-step explanation:
A = bh
A = 15 × 8
A = 120 in²
A = bh
A = 20 × 13
A = 260 in²
The area of the parallelogram shown are 120 in² and 260 in².
What is the area of a parallelogram?The area of a parallelogram is the product of the base and the height of the figure.
The area of a parallelogram = Base x Height
We are given that parallelogram that has a base 5 inches longer and the height 5 inches taller than a parallelogram
A = bh
A = 15 × 8
A = 120 in²
Now,
A = bh
A = 20 × 13
A = 260 in²
Learn more about the area;
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A triangular garden is being
formed by bricks. The three
sides measure 4 feet, 10
feet, and 3 feet in length.
Will these measurements
result in a triangle?
Answer:
Yes
Step-by-step explanation:
If there are three measurements, then it will result in a triangle.
u( w f +u ) = m + j
solve for u : u=
solve for f :F=
[tex]\textbf{Solve for u:}\\\\u(wf+v)=m+j\\\\\implies u = \dfrac{m+j}{wf+v}\\\\\textbf{Solve for f:}\\\\u(wf+v) = m+j\\\\\implies uwf+uv = m+j\\\\\implies uwf = m+j-uv\\\\\implies f=\dfrac{m+j-uv}{uw}[/tex]
Help Please Quick! Pleasee
Answer:
you can search them up! Just search up fractions calculator
Step-by-step explanation:
evaluate the function for x=8 f(x)=x2/16-2x
Answer:
f = 8
Step-by-step explanation:
f(x) = x2/16 - 2x
f(8) = (8)2/16 - 2(8)
8f = 16/16 - 16
8f/8 = 16/8
f = 8
What is the length for X
Answer:
x = 5
Step-by-step explanation:
3^2 + 4^2 = x^2
9 + 16 = x^2
25
Now we need to find the square root of 25 :)
The answer is 5
X = 5
Have a great day!!
Please rate and mark brainliest!!
A laptop computer is purchased $1500. After each year , the resale value decreases by 25%. What will the resale value be after 5 years ? Round to the nearest dollar
AB is a diameter. 48° B A What is the measure of BC? 180° 84 42° 96°
Answer:
84°
Step-by-step explanation:
The central angle of a circle is twice any inscribed angle subtended by the same arc.
because AB is a diameter, we also know that the triangle angle at C is 90° (all the inscribed triangles with their baseline being a diameter are right-angled).
as always, the sum of all angles in a triangle is 180°.
so, we know the triangle angle at A is
180 - 90 - 48 = 42°.
this is also the inscribed angle of the arc BC.
the central angle for arc BC (that is what is requested here) is then twice that angle : 2×42 = 84°
help me plssssssssss
Answer:
<E=<I (it is a rotated triangle of 180 degrees)
<F=<H (they are both right triangles)
<EGF=<IGH (vertical angles are congruent)
segment FE=segment IH (cpctc)
segment EG=segment HG (cpctc)
segment FG=segment IG (the little dashes on the segments mean that they are congruent.
How much would $400 be worth after 6 years if it was invested at 2% interest compounded annually
450.46497
Step-by-step explanation:Based on the given condition:[tex]We\ know\ that:[/tex]
[tex]\left\{\begin{matrix}P=400\\r=2\%\\n=1\\t=6\\\end{matrix}\right.[/tex]
________________________________________________
Formulate and substitute:[tex]Substitute[/tex] [tex]\left\{\begin{matrix}P=400\\r=2\%\\n=1\\t=6\\\end{matrix}\right.[/tex][tex]into\ formula[/tex]
[tex]F=P*(1+r/n)^n^t\\ F=400\bullet(1+2\bullet\frac{1}{100})^6[/tex]
_________________________________________________
Evaluate[tex]Evaluate\ the\ equation/expression:\\ 450.46497[/tex]
I hope this helps you
:)