Step-by-step explanation:
answer......
...........
When buyers buy less of a good, the manufacturer may reduce the ______ of the good or cut back its ____
Answer:
Price/Cost
Step-by-step explanation:
They may reduce the cost due to the lack of people buying that product, or vice versa.
Mayrin has rectangular rug with an area of 36 square feet. The area is represented by the equation f(x)= x2 + 5x – 36 and this rug is 5 feet longer than it is wide. What are the dimensions of the rug?
Answer:
B) width = 4 ft
length = 9 ft
Step-by-step explanation:
Area = 36 ft²
Let width = x
⇒ length = x + 5
Area of a rectangle = width × length
⇒ 36 = x(x + 5)
⇒ x² + 5x - 36 = 0
⇒ x² + 9x - 4x - 36 = 0
⇒ (x² + 9x) + (-4x - 36) = 0
⇒ x(x + 9) - 4(x + 9) = 0
⇒ (x + 9)(x - 4) = 0
⇒ x = -9, x = 4
As distance is positive, x = 4 only
Therefore,
width = x = 4 ft
length = x + 5 = 4 + 5 = 9 ft
please help: Simplify 6÷(4-2)+4
Answer:
7
Step-by-step explanation:
6/(2)+4
3+4
7(BODMAS)
But if you use calculator it we give you
5
Please help me with complement or supplement of an angles.
Answer:
60
Step-by-step explanation:
If we look at the picture, we can see that its a right angle having a 90 degree.
We can make a equation with this as we know that m1 and m2 has to equal 90
x + y = 90
Since we know that m2 = 30 we can plug 30 for x
(30) + y = 90
Now we simply moving the 30 to the 90
y = 90 - 30
y = 60
For exercises 4–9, find the value of x. round to the nearest tenth.[
Answer:
Step-by-step explanation:
where is exercise 4-9?
or at least give us the equation
HELP PLS I BEGGING :=))))))))
Answer:
28 inches
Step-by-step explanation:
[tex]P = 2(l+w)[/tex]
[tex]P=2(9+5)[/tex]
[tex]P=2(14)[/tex]
[tex]P=28[/tex]
What is the value of x? The figure is not drawn to scale. Show work
can someone help me with this question
Answer:
B
Step-by-step explanation:
Convert from mixed numbers to improper fractions:
[tex]\sf area=90 \frac{3}{10}=\dfrac{90 \cdot 10+3}{10}=\dfrac{903}{10}[/tex]
[tex]\sf length=10\frac12=\dfrac{10 \cdot 2+1}{2}=\dfrac{21}{2}[/tex]
Area of a rectangle = length x width
⇒ width = area ÷ length
[tex]\sf \implies width=\dfrac{903}{10} \div \dfrac{21}{2}[/tex]
[tex]\sf \implies width=\dfrac{903}{10} \times \dfrac{2}{21}[/tex]
[tex]\sf \implies width=\dfrac{1806}{210}[/tex]
[tex]\sf \implies width=\dfrac{1806 \div 42}{210 \div 42}[/tex]
[tex]\sf \implies width=\dfrac{43}{5}[/tex]
[tex]\sf \implies width=8\frac35[/tex]
[tex] \pink{ \text{Given:}}[/tex]
[tex] \\ [/tex]
[tex] \star \sf{}Area =90 \dfrac{3}{10} [/tex]
[tex] \\ [/tex]
[tex] \star \sf{}Length =10 \dfrac{1}{2} [/tex]
[tex] \\ \\ [/tex]
[tex] \purple{ \text{To~Find:}}[/tex]
[tex] \\ \\ [/tex]
[tex] \star \sf Width \: of \: rectangle[/tex]
[tex] \\ \\ [/tex]
[tex] \orange{ \text{Solution:}}[/tex]
[tex] \\ \\ [/tex]
So first convert length and area from fraction form to decible.
[tex] \leadsto\sf{}Area =90 \dfrac{3}{10} [/tex]
[tex] \\ [/tex]
[tex] \leadsto\sf{}Area = \dfrac{903}{10} [/tex]
[tex] \\ [/tex]
[tex] \leadsto\sf{}Area =90.3[/tex]
[tex] \\ [/tex]
Now convert value length into decibel .
[tex] \\ [/tex]
[tex] \leadsto\sf{}Length =10 \dfrac{1}{2} [/tex]
[tex] \\ [/tex]
[tex] \leadsto\sf{}Length = \dfrac{21}{2} [/tex]
[tex] \\ [/tex]
[tex] \leadsto\sf{}Length = 10.5[/tex]
[tex] \\ [/tex]
We know :-
[tex]\bigstar\boxed{\rm Area~of~rectangle= length \times width}[/tex]
[tex] \\ \\ [/tex]
So:-
[tex] \\ [/tex]
[tex]: \implies\sf Area~of~rectangle= length \times width \\ \\ \\ : \implies\sf 90.3= 10.5 \times width \\ \\ \\: \implies\sf 90.3 \div 10.5=width \\ \\ \\: \implies\sf \dfrac{ 90.3}{10.5}=width \\ \\ \\: \implies\sf \dfrac{ 90 \cancel.3}{10 \cancel.5}=width \\ \\ \\: \implies\sf \dfrac{ 903}{105}=width \\ \\ \\: \implies\sf width = \dfrac{ 903}{105} \\ \\ \\: \implies \underline{\boxed{\sf width = 8.6}} \pink\bigstar[/tex]
[tex]\\\\\\[/tex]
Know More:[tex]\begin{lgathered}\small\begin{gathered}\begin{gathered}\begin{gathered}\boxed{\begin {array}{cc}\\ \dag\quad \Large\underline{\bf \small{Formulas\:of\:Areas:-}}\\ \\ \star\sf Square=(side)^2\\ \\ \star\sf Rectangle=Length\times Breadth \\\\ \star\sf Triangle=\dfrac{1}{2}\times Base\times Height \\\\ \star \sf Scalene\triangle=\sqrt {s (s-a)(s-b)(s-c)}\\ \\ \star \sf Rhombus =\dfrac {1}{2}\times d_1\times d_2 \\\\ \star\sf Rhombus =\:\dfrac {1}{2}d\sqrt {4a^2-d^2}\\ \\ \star\sf Parallelogram =Base\times Height\\\\ \star\sf Trapezium =\dfrac {1}{2}(a+b)\times Height \\ \\ \star\sf Equilateral\:Triangle=\dfrac {\sqrt{3}}{4}(side)^2\end {array}}\end{gathered}\end{gathered}\end{gathered}\end{lgathered}[/tex]
The volume of this rectangular prism is 72 in³. What is the missing measurement for c?
What is the length of the shipping carton?
Enter your answer in the box.
c = in
[tex]\huge\fbox\purple{ANSWER} [/tex]
[tex] \mathsf\pink{v = l \times w \times h}[/tex]
[tex] \mathsf \purple{{72in}^{3} = c \times 4in \times 3in}[/tex]
[tex] \mathsf \pink{ {72in}^{3} = c \times 12 {in}^{2} }[/tex]
[tex] \mathsf \purple{ \frac{72 {in}^{3} }{ {12in}^{2} } = c \times \frac{12 {in}^{2} }{ {12in}^{2} } }[/tex]
[tex] \mathsf \pink{6in = c}[/tex]
[tex] \huge \tt \color{pink}{A}\color{blue}{n}\color{red}{s}\color{green}{w}\color{grey}{e}\color{purple}{r }[/tex]
➣Given➣shipping carton basically shape is rectangular prism type➣its volume (shipping carton)=72in²➣its height =3in➣its width = 4in➣ assumption :- length "c"[tex] \boxed{ \pink✠\underline{ \boxed{ \sf{Volume \: of \: Rectangular \: prism=length × width × height.}}} \pink✠}[/tex]
[tex]\rule{80mm}{2.5pt}[/tex]
★ Let's substitute values according to given info[tex] \qquad \sf \: ➛ 72 = c \times 4 \times 3 \\ \qquad \sf \: ➛72 = c \times 12 \\ \qquad \sf \: ➛transporting \: 12 \: in \: divide \\ \qquad \sf \: ➛ \frac{72}{12} = c \\ \qquad \sf \: ➛ \cancel\frac{72}{12} = c \\ \qquad \sf \: ➛6 = c[/tex]
[tex]\rule{80mm}{2.5pt}[/tex]
★ Hence "c" (length) of Rectangular prism (shipping carton) is
[tex]\boxed{ \blue✜\underline{ \boxed{ \sf{length(c)= 6inch \green✓}}} \blue✜}[/tex]
Hope it helps !
Factor the GCF: 9x4y − 6x3y2 3x2y3. 3x2y(3x2 − 2xy y2) 3xy(3x2 − 2xy y2) 3xy2(3x2 − 2xy y2) 3x2y(3x2 2xy y2).
The factored form of the equation 9x⁴y - 6x³y² + 3x²y³ is 3x²y(3x²-2xy+y²).
What is factored form?The product of a constant and two linear expressions in factored form. The roots of the function are the parameters and the x-intercepts of the graph. Often Factoring is referred to as the process of converting a quadratic function to factored form.
We need to write the given expression [tex]9x^4y-6x^3y^2 + 3x^2y^3[/tex] in the factored form, therefore, we will take the common terms out of the given expression,
1. Taking 3 as the common term, we will get,
[tex]9x^4y-6x^3y^2 + 3x^2y^3\\\\= 3 (3x^4y-2x^3y^2 + x^2y^3)[/tex]
2. Taking x² as the common term
[tex]= 3 (3x^4y-2x^3y^2 + x^2y^3)\\\\= 3x^2(3x^2y-2xy^2+y^3)\\\\[/tex]
3. Taking y as the common term,
[tex]= 3x^2(3x^2y-2xy^2+y^3)\\\\= 3x^2y(3x^2-2xy+y^2)\\\\[/tex]
Hence, the factored form of the equation 9x⁴y - 6x³y² + 3x²y³ is 3x²y(3x²-2xy+y²).
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Part A: The area of a square is (16a² - 24a + 9) square units. Determine the length of each side of the square by factoring the area expression completely Show your work
Part B: The area of a rectangle is (9a² - 25b²) square units. Determine the dimensions of the rectangle by factoring the area expression completely. Show your work
A:
16a^2-24a+9
16a^2-12a-12a+9
4a(4a-3)-3(4a-3)
(4a-3)(4a-3)
(4a-3)^2
(4a-3)^2
B: Use difference of squares method
(3a+5b)(3a−5b)
Part A: The length of each side of the square is (4a - 3) units.
Part B: The dimensions of the rectangle are (3a + 5b) units (length) and (3a - 5b) units (width).
Part A:
The area of a square is given by the formula A = s^2, where "s" is the length of each side of the square. In this case, the area is (16a² - 24a + 9) square units.
To determine the length of each side of the square, we need to factor the area expression completely and set it equal to (s^2).
The area expression is a quadratic trinomial: 16a² - 24a + 9.
To factor the trinomial, we look for two binomials that, when multiplied together, give us the original trinomial. The binomials will have the form: (ma ± b)(na ± c).
To factor 16a² - 24a + 9, we look for two numbers whose product is 16 * 9 = 144, and whose sum is -24 (the middle coefficient).
The two numbers are -12 and -12 because (-12) * (-12) = 144 and (-12) + (-12) = -24.
Now, rewrite the middle term (-24a) using -12a - 12a:
16a² - 12a - 12a + 9
Group the terms and factor by grouping:
(16a² - 12a) - (12a - 9)
Now, factor out the greatest common factor (GCF) from each group:
4a(4a - 3) - 3(4a - 3)
Now, notice that we have a common binomial factor of (4a - 3):
(4a - 3)(4a - 3)
Since both binomials are the same, we can rewrite it as (4a - 3)^2.
Now, set (4a - 3)^2 equal to (s^2):
(4a - 3)^2 = s^2
To find the length of each side (s), take the square root of both sides:
√((4a - 3)^2) = √(s^2)
4a - 3 = s
Therefore, the length of each side of the square is (4a - 3) units.
Part B:
The area of a rectangle is given by the formula A = length * width. In this case, the area is (9a² - 25b²) square units.
To determine the dimensions of the rectangle, we need to factor the area expression completely and identify the length and width.
The area expression is a difference of squares: 9a² - 25b².
To factor a difference of squares, we use the formula: a² - b² = (a + b)(a - b).
In this case, a = 3a and b = 5b:
9a² - 25b² = (3a + 5b)(3a - 5b)
Therefore, the dimensions of the rectangle are (3a + 5b) units (length) and (3a - 5b) units (width).
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What are the prime numbers between 2010 and 2020
Answer: 99%
Step-by-step explanation:
So I have this question here, can someone please help me?
Answer:
Use tan trig ratio:
[tex]\sf tan(\theta)=\dfrac{O}{A}[/tex]
where [tex]\theta[/tex] is the angle, O is the side opposite the angle, and A is the side adjacent the angle
Given:
[tex]\theta[/tex] = 39°O = 10[tex]x[/tex] = ASubstituting these values into the formula:
[tex]\implies \tan(39)=\dfrac{10}{x}[/tex]
Multiplying both sides by [tex]x[/tex]:
[tex]\implies x\tan(39)=10[/tex]
Dividing both sides by [tex]\tan(39)[/tex] :
[tex]\implies x=\dfrac{10}{\tan(39)}[/tex]
[tex]\implies x=12.34897157...[/tex]
[tex]\implies x=12.3 \ \textsf{(nearest tenth)}[/tex]
[tex]\\ \rm\rightarrowtail tan\theta=\dfrac{Perpendicular}{Base}[/tex]
[tex]\\ \rm\rightarrowtail tan51=\dfrac{x}{10}[/tex]
[tex]\\ \rm\rightarrowtail x=10tan51[/tex]
[tex]\\ \rm\rightarrowtail x=10(1.2348971565350)[/tex]
[tex]\\ \rm\rightarrowtail x=12.348971565350[/tex]
Which expression is equivalent to 6(3h + g) ?
Group of answer choices
9h + g
18h + 6g
9h + 6g
18h + g
Answer:
18h × 6g is equivalent to 6(3h + g)
because 6 x 3 = 18 and 6 x 1 = 6
A four sided sandbox has exactly 2 right angles to side lengths 5 feet what geometric shape as described shape of the sandbox
Answer:
The sandbox is most likely in the shape of a kite. As it has only two right angles, it cannot be a square or other form of rectangle. It also cannot be a parallelogram, which has no right angles, nor is it a rhombus- all four sides are not of the same length.
A kite, however, has two pairs of equal-length sides that are adjacent to each other. It also has two sets of equal-measure angles, one of which can be 90° if it is a cyclic kite.
1. Three friends are at a restaurant for dinner. They decide to split the $90. 00 check equally among the three of them. A. If they decide to leave a 20% tip, what will the total bill be?
b. What will each person pay if the total bill including tip is divided by three?
Answer:
1A.)The tip would be $18, thus meaning the total will shoot up to 108$.
1B.) Divide 3 by 18, and you get $6 per person.
Step-by-step explanation:
Hope this helps!~
The total bill with the tip will be $108.00. Considering this value each person will pay $36.00
PercentageThe percentage is the given definition for a fraction whose denominator is equal to 100. It is represented by %. See the example: [tex]\frac{20}{100}=\frac{1}{5}=0.2*100=20\%[/tex]
The question gives:
3 friendstotal bill without the tip - $90.0020% tipLetter AFor solving this item you should sum the value of the total bill without the tip with the value equivalent to a 20% tip.
Tip=[tex]\frac{20*90}{100} =\frac{1800}{100}=18[/tex]
Total bill= 18+90=108
Letter BFor solving this item you should divide the value of the total bill with the tip by 3 (friends).
Individual Payment= 108/3 = 36
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Help me solve this please
There are 372 children, I hope my answer will be of use to you.
Find volume of rectangular prism shown here. 1.5 cm 2cm 8cm
Answer:
24 cm³
Step-by-step explanation:
The volume of a rectangular prism is found by multiplying the area of the base by the height. V=lwh. V=(1.5)(2)(8)=24 cm³
Answer:
the answer should be 24
Step-by-step explanation:
1.5 x 2 = 3
3 x 8 = 24
V = L x W x H
V = 1.5 x 2 x 8
simplify 10 to the square root
Answer: 10
Step-by-step explanation: that is the answer because you can not simplify it any further
Miranda is calculating her expected expenses for her week long trip to turkey. her flight costs 928 tl (turkish lira), her lodging costs 755 tl, and she has allowed 814 tl for food and spending money. what is miranda’s total? a. 4,762 tl b. 2,497 tl c. 869 tl d. 641 tl
The addition is the process of adding two numbers and the result is the combined value of the two numbers. Miranda's total will be equal to 2497 Turkish lira.
What is Addition?Addition can be defined as the process of adding two numbers such that the result is the combined value of the two numbers.
The total cost will involve the cost of Miranda's flight, her lodging costs, and the cost of food and other such spending. Therefore, her total is the sum of all of this expenses,
Miranda's Total
= cost of flight + lodging costs + cost of food and other spending
= 928 ti + 755 ti + 814 ti
= 2497 ti
Hence, Miranda's total will be equal to 2497 Turkish lira.
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Answer: b. 2,497 TL
<3
A teacher assigns a score from 1 to 4 to each student project. the table below shows the probability distribution of the scores for a randomly selected student. which score is most likely? probability distribution score: x probability: p(x) 1 0.06 2 0.20 3 0.48 4 0.26 1 2 3 4
The score which is assigned from 1 to 4 by the teacher to each student for the project and is most likely to be is 3 with 0.48 probability.
What is probability distribution?Probability distribution is the statistical model which represent all the achievable and similar values of a random variable that it can possess in a specified range.
A teacher assigns a score from 1 to 4 to each student project. the table below shows the probability distribution of the scores for a randomly selected student.
Probability distribution score: 1, 2, 3, 4, x probability: p(x) 0.06, 0.20, 0.48, 0.26In the above data, the height probability of selection is 0.48. This probability belongs to the score 3.
Thus, the score which is assigned from 1 to 4 by the teacher to each student for the project and is most likely to be is 3 with 0.48 probability.
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Answer:
C on edge
Step-by-step explanation:
3
Five less than 3 times a number is 2.
Answer:
1
Step-by-step explanation:
5-3x=2
5-3(1)=2
2+3=5
Answer:
1
Step-by-step explanation:
5-3•_=2
The only number that would fit in this equation is 1.
Which answers describe the shape below? Check all that apply.
A. Square
B. Trapezoid
C. Quadrilateral
D. Parallelogram
E. Rhombus
F. Rectangle
Answer:
The answers are C, D, and F
Step-by-step explanation:
Solve for x
7x – 1= 2x + 3
Give your answer as a fraction in its simplest form.
Answer:
x = 4/5.
Step-by-step explanation:
7x - 1 = 2x + 3
Move one to the other side.
7x = 2x + 4
Subtract the 2x to the other side
5x = 4
Divide both sides by 5
x = 4/5.
Answer:
x = 0.8
Step-by-step explanation:
To find x, we need to isolate the constants on one side and the variables on the other. Simply subtract 2x both sides and add 1 both sides.
⇒ [tex]7x - 1= 2x + 3[/tex]
⇒ [tex]7x - 1 - 2x + 1 = 2x + 3 + 1 - 2x[/tex]
⇒ [tex]5x = 2x + 3 + 1 - 2x[/tex]
⇒ [tex]5x = 3 + 1[/tex]
Now, simplify the RHS.
⇒ [tex]5x = 3 + 1[/tex]
⇒ [tex]5x = 4[/tex]
Finally, divide 5 both sides to isolate the x variable.
⇒ [tex]\frac{5x}{5} = \frac{4}{5}[/tex]
⇒ [tex]x = \frac{4}{5} = 0.8[/tex]
Mia and Carlos are hiking on a trail where they start 16 miles apart. If Mia can average 2.3 miles per hour while hiking and Carlos can average 2.5 miles per hour. How long will it take for them to meet up?
Answer:
I'm not sure but if this is on a calculus paper, this may put you on the right track?
Step-by-step explanation:
definate integral from 2.3 to 2.5 would equal 3.2, i don't know what to do with that information but i hope that helps you.
What is the product of 1.0 x 102 and 1.8 x 103 expressed in scientific notation?
Answer:
[tex]1.8 \text{ x } 10^5[/tex]
Step-by-step explanation:
Hello!
To multiply terms, we multiply the like terms.
Like terms:
Like terms are terms with the same degree or base. In this example, 1 and 1.8 are like terms by degree, and 10² and 10³ are like by base.
Multiply:
(1 x 10²)(1.8 x 10³)(1 x 1.8)(10² x 10³) --> exponeent rule: a^b * a^c = a^(b+c)1.8 x 10^5That's your solution! 1.8 x 10^5
I need help on this question I’m confused I think a &b are the same and c &d are different but I’m not to sure !
====================================================
Reason:
[tex]2^6[/tex] means we have 6 copies of "2" multiplied out as shown in choice B. That explains how A and B are the same, and we can say
[tex]2^6 = (2*2*2)*(2*2*2)[/tex]
The parenthesis are optional, but I find they're handy to count the '2's easier.
----------------
Now notice that
[tex]2^3 = 2*2*2[/tex]
So,
[tex]2^6 = (2*2*2)*(2*2*2)\\\\2^6 = (2^3)*(2^3)\\\\2^6 = (2^3)^2\\\\[/tex]
The last step is possible because we have two copies of [tex]2^3[/tex] multiplied together.
This shows that choice C is equivalent to A and B.
-------------------
Lastly,
[tex]2^6 = (2*2*2)*(2*2*2)\\\\2^6 = (2*2)*(2*2)*(2*2)\\\\2^6 = (2^2)*(2^2)*(2^2)\\\\2^6 = (2^2)^3\\\\[/tex]
The jump to the last step is possible because we have three copies of [tex]2^2[/tex] multiplied together.
This shows choice D is equivalent to the others.
All four expressions are the same.
They represent different ways to say the same number. That number being 64.
Helpppp no links or troll
Answer:
height would be 5 and base would be 5.
Step-by-step explanation:
because you would subtract the 2 and the 1 from the 8 to give you the base.
hope this helps
Answer:
dark blue
Step-by-step explanation:
\to find the first base you must multiplie the side
and to find the height you add it
What is the volume of a sphere with a diameter of 7.5 cm, rounded to the nearest tenth of a cubic centimeter?
Answer:
V≈220.89cm³
Step-by-step explanation:
Answer: 220.9
4/3 π(3.75)^3=220.9
if a:b =2:3 write b as a fraction of a
Answer:
given ,
[tex]\fbox{a:b = 2:3}[/tex]
According to Question ,
we've to write b as a fraction of a.
thus , we know that
[tex]a:b = \frac{a}{b} \\ \\ \dashrightarrow{2:3 = \frac{2}{3} } [/tex]
now to represent b as a fraction of a ,
we'll have to consider the ratio as b : a
which means ,
[tex]b:a = inverse \: of \: a:b \\ \dashrightarrow{ b:a = \frac{b}{a} = \frac{3}{2} }[/tex]
_____________________________
_____________________________
hope helpful :D
Answer:
b = [tex]\frac{3}{2}[/tex] a
Step-by-step explanation:
express the ratios in fractional form
[tex]\frac{a}{b}[/tex] = [tex]\frac{2}{3}[/tex] ( cross- multiply )
2b = 3a ( divide both sides by 2 )
b = [tex]\frac{3}{2}[/tex] a