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Answer:
1.12 ≤ x ≤ 34.18
Step-by-step explanation:
This constraint ensures that the number of tires produced, represented by x, falls within the range where the production costs, represented by C(x), are below $75,000.
Find the probability. Round your answer to the nearest hundredth (two
decimal places)
A bag contains 3 red chips, 4 blue chips, 5 yellow chips, and 3 green chips.
You randomly choose a chip, and without replacing it, you randomly
choose another chip. Find the probability that you choose a yellow chip
on your first pick and a blue chip on your second pick.
Answer: yellow is 5/15 = 1/3
Blue chip is 4/14 = 2/7
1/3 × 2/7 = 2/ 21
Answer0.095 = 0.10
Step-by-step explanation:
Which graph represents the solution to the system of inequalities?
StartLayout Enlarged left-brace first row x squared + 4 y squared less-than 64 second row y greater-than 3 Superscript x EndLayout
Answer is D
Edge 2022
The answer is D :) YW!
prove that
{(tanθ+sinθ)^2-(tanθ-sinθ)^2}^2 =16(tanθ+sinθ)(tanθ-sinθ)
First, expand the terms inside the bracket you will get
[tex](( \tan {}^{2} (x) + 2 \tan(x) \sin(x) + \sin {}^{2} (x) - ( \tan {}^{2} (x) - 2 \tan(x) + \sin {}^{2} (x) ) {}^{2} = 16( \tan(x) + \sin(x) )( \tan(x) - \sin(x) )[/tex]
[tex]( 4 \tan(x) \sin(x) ) {}^{2} = 16( \tan(x) + \sin(x) )( \tan(x) - \sin(x) )[/tex]
[tex]16 \tan {}^{2} (x) \sin {}^{2} (x) = 16( \tan(x) + \sin(x) )( \tan(x) - \sin(x) )[/tex]
[tex]16 \tan {}^{2} (x) (1 - \cos {}^{2} (x) ) = 16 (\tan(x) + \sin(x) )( \tan(x) - \sin(x) )[/tex]
[tex]16( \tan {}^{2} (x) - \frac{ \sin {}^{2} (x) \cos {}^{2} ( {x}^{} ) }{ \cos {}^{2} (x) } [/tex]
[tex]16( \tan {}^{2} (x) - \sin {}^{2} (x) ) = 16( \tan(x) + \sin(x) )( \tan(x) - \sin(x) )[/tex]
[tex]16( \tan(x) + \sin(x) )( \tan(x) - \sin(x) = 16( \tan(x) + \sin(x) )( \tan(x) - \sin(x) )[/tex]
What is the solution to the system of equations below?
y = one-half x + 6 and y = negative three-fourths x minus 4
(–8, 2)
(–8, –1)
(8, 10)
(8, –10)
Answer:
(-8, 2)
Step-by-step explanation:
1. Set up the equations.
y = 1/2x + 6
y = -3/4x - 4
2. Set the equations to equal each other.
1/2x + 6 = -3/4x - 4
3. Move the variables to one side and the numbers to the opposite side.
6 + 4 = -3/4x - 1/2x
10 = -3/4x - 2/4x
10 = -5/4x
4. Divide 10 by -5/4.
10/ -5/4 = 10 * -4/5 (when dividing fractions, flip the fraction over)
10 * -4/5 = -40/5 = -8
x = -8
5. Plug in the x-value into one of the equations.
y = 1/2x + 6
y = 1/2(-8) + 6
y = -4 + 6
y = 2
OR
y = -3/4x - 4
y = -3/4(-8) - 4
y = 6 - 4
y = 2
Which expressions are equivalent to 42-5? Choose all the correct answers. Show your work in arriving at your answers.
Answer:
B, C, E
Step-by-step explanation:
Exponent Rules
[tex]a^b \cdot a^c=a^{b+c}[/tex]
[tex]\dfrac{a^b}{a^c}=a^{b-c}[/tex]
[tex]a^n \cdot b^n=(ab)^n[/tex]
[tex]a^0=1[/tex]
[tex]\dfrac{1}{a^b}=a^{-b}[/tex]
[tex](a^b)^c=a^{bc}[/tex]
[tex]\textsf{A}\quad42^{-3} \cdot 42^8=42^{-3+8}=42^5[/tex]
[tex]\textsf{B}\quad \dfrac{42^{-7}}{42^{-2}}=42^{-7-(-2)}=42^{-5}[/tex]
[tex]\textsf{C}\quad \dfrac{6^{-5}}{7^5}=6^{-5} \cdot 7^{-5}=(6 \cdot 7)^{-5}=42^{-5}[/tex]
[tex]\textsf{D}\quad 42^0 \cdot 42^5=1 \cdot 42^5=42^5[/tex]
[tex]\textsf{E}\quad \left(\dfrac{1}{42^{-5}}\right)^{-1}=(42^5)^{-1}=42^{-5}[/tex]
[tex]\textsf{F}\quad \left(\dfrac{6^{-5}}{7^5}\right)^{-1}=\left(6^{-5} \cdot 7^{-5}\right)^{-1}=\left(\left(6 \cdot 7\right)^{-5}\right)^{-1}=42^{-5(-1)}=42^5[/tex]
Check one by one
#A
[tex]\\ \rm\Rrightarrow 42^{-3}42^8=42^{-3+8}=42^5[/tex]
#B
[tex]\\ \rm\Rrightarrow \dfrac{42^{-7}}{42^{-2}}=42^{-7+2}=42^{-5}\checkmark[/tex]
#C
[tex]\\ \rm\Rrightarrow \dfrac{6^{-5}}{7^5}=6^{-5}7^{-5}=42^{-5}\checkmark[/tex]
#d
[tex]\\ \rm\Rrightarrow 42^0.42^5=42^{0+5}=42^5[/tex]
#e
[tex]\\ \rm\Rrightarrow \left(\dfrac{1}{42^{-5}}\right)^{-1}=42^{-5}\checkmark[/tex]
#f
[tex]\\ \rm\Rrightarrow \left(\dfrac{6^{-5}}{7^5}\right)^{-1}[/tex]
[tex]\\ \rm\Rrightarrow (42^{-5})^{-1}[/tex]
[tex]\\ \rm\Rrightarrow 42^5[/tex]
What set of numbers are shaded on the
hundred chart?
A only the factors of ten
B only the multiples of 10
C only the factors of 20
D only the multiples of 20
Assuming that the availability of cherries and the availability of asparagus are independent of each other, which market should Elena choose to maximize her chance of buying both?
Answer:
north market, .44
Step-by-step explanation:
What is the perimeter of parallelogram ABCD?
Answer:
18 cm
Step-by-step explanation:
4+5+4+5=18
or
2(a+b)
2(4+5)
2(9)
18
Which equation translates the sentence, "Three times the number m plus ten is equal to n"?
A. 3m + 10 = n
B. 3(10) + m = n
C. 3 + 10m = n
D. 3 x 10(m) = n
You roll a die 60 times how many times do you expect to roll a factor of 12
Answer:
Just for fun, the probability of rolling a die 60 times and getting no ones is
(600)(5/6)60=0.0018% .
Step-by-step explanation:
This 10 ones is the value with the highest probability of occurring. It has a probability of (6010)(1/6)10∗(5/6)50≈13.7% .
I need help with this and how to solve it
Given that 2x + 1 : x + 2 = x+8 : 3x-4
Find the possible values of x.
Answer:
First we have to same the bases.
As we know 8=2^3.
Replace 8 with 2^3.
Like this .
2^3x=2^3(2x+1).
Now 3x=3(2x+1) distribute 3 by the Barker.
3x=6x+3.
6x+3=3x.
6x-3x=-3.
3x=-3.
X=-1.
Step-by-step explanation:
It is Given that 2x + 1 : x + 2 = x+8 : 3x-4 therefore, the possible value of x is -1.
How to find the system of equations needed to solve an equation?An equation usually consists of equality of two mathematical expressions. Let it be
A = B
. If we take them to be equal to third variable, then:
A = B = C
type of equation is obtained.
We can then take it as a system of two equations as:
A = C\\ B=C
The solution to this system will give us the solution to the considered equation.
The solution to an equation is finding values of the variable included in the considered equation for which the equation considered evaluates to be true.
Given that 2x + 1 : x + 2 = x+8 : 3x-4
First we have to same the bases.
As we know [tex]8=2^3.[/tex]
[tex]2^{3x}=2^{3(2x+1)}.[/tex]
Now 3x=3(2x+1) distribute 3 by the Barker.
[tex]3x=6x+3.\\6x+3=3x.\\6x-3x=-3.\\3x=-3.\\x=-1.[/tex]
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Regular price $174 discount
40% find the sale price round to the nearest cent if necessary
Answer:
69.6 70 to the nearest cent
Step-by-step explanation:
I don't know how to explain
Which number has an absolute value
greater than |-3|? Select all that apply.
b.|-5|
c. |9|
d. |1|
e. |7|
f. l-1|
Answer:
The number with an absolute value (distance away from zero on a number line) that is greater than 5 will be: A. -6.
Absolute value of any number is simply the distance of that number from point zero (0) on a number line.
Thus,
-6 is 6 units from 0.
6 is also 6 units away from 0.
-5 is 5 units from 0.
5 is also 5 units from 0.
The absolute value of -5 is 5.
The absolute value of -6 is 6.
Therefore, the number with an absolute value (distance away from zero on a number line) that is greater than 5 will be: A. -6.
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Step-by-step explanation:
Find the total surface area of this triangular prism.
25 cm
24 cm
10 cm
14 cm
Answer:
Step-by-step explanation:
[tex]\boxed{\text{Area of triangular prism = length*(a+b+c) + 2*base area}}[/tex]
Here a, b,c are the sides of the triangle.
a = 14 cm ; b = c = 25 cm and length = 10 cm
[tex]\boxed{\text{Base area=2*$\dfrac{1}{2}*base*height$=base *height}}[/tex]
base = a = 14 cm & h = 24 cm
Base area = 14*24
= 336 cm²
Total surface area = 10*(14+25+25) + 336
= 10*64 + 336
= 640 + 336
= 976 cm²
Find the measure of arc FD
Answer: 49 degrees
Step-by-step explanation:
The sum of 2 numbers is 8 and their difference is 2
what are the 2 numbers?
Answer:
a=5
b=3
Step-by-step explanation:
a+b=8
a-b=2
2a=10
a=5
b=3
Answer:
5 and 3
Step-by-step explanation:
Sum is addition
Difference is subtraction
5 + 3 = 8 which means the sum of these 2 numbers is 8
5 - 3 = 2 which means the difference of these 2 numbers is 2
please help its late and I need to finish this. there are more if you can solve this
Answer:
Plow - is used for tilling largefurrows and inter row cultivation. WhTractor - Used to pull disc plow and disc harrow in preparing much bigger area of land Down is used for cleaning the ground and leveling the topsoil Barrow - is used for hauling trash, manures, fertilizers, plant
Find the value of x. Assume that lines which appear to be tangent to the circle are tangent. A) 1 B) 3 C) 4 D) 6
Answer: D
Step-by-step explanation:
The ratio of the number of pineapples for a chocolate fondue dessert to people served is 1 to 5. If Deb wants to serve 80 people, how many pineapples will Deb use?
Answer:
16:80
Step-by-step explanation:
80 people * ( 1 pineapple / 5 people) = 16
What is the surface area of the cube below?
Answer:
I dont see a cube but...
Step-by-step explanation:
A cube has 6 faces. The area of each face is found by squaring the length of the side. Multiply the area of one face by the number of faces to get the total surface area of the cube.
A=6a2
6.
Viola drives 170 m up a hill that makes an angle of 6° with the horizontal. Rounded to the nearest tenth of a meter, what horizontal distance has she covered?
169.1 m
17.8 m
1,617.4 m
171.5 m
Answer:
(a) 169.1 m
Step-by-step explanation:
The diagram shows you the distance (x) will be shorter than 170 m, but almost that length. The only reasonable answer choice is ...
169.1 m
__
The relevant trig relation is ...
Cos = Adjacent/Hypotenuse
The leg of the right triangle adjacent to the marked angle is x, and the hypotenuse is 170 m. Putting these values into the equation, you have ...
cos(6°) = x/(170 m)
x = (170 m)cos(6°) ≈ (170 m)(0.994522) ≈ 169.069 m
The horizontal distance covered is about 169.1 meters.
_____
Additional comment
Expressed as a percentage, the slope of this hill is tan(6°) ≈ 10.5%. It would be considered to be a pretty steep hill for driving.
if emily eats 18 cookies, which represents 30% of the bag, how many cookies are in the bag
Answer:60
Step-by-step explanation:
18 x 100= 1800. 1800/30= 60. 60 x %30= 18
The number of cookies in the bag is A = 60
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
Substituting the values in the equation , we get
Now , 30 % of the cookies in the bag = 18 cookies
On simplifying the equation , we get
( 30 / 100 )A = 18
Multiply by 100 on both sides , we get
30A = 1800
Divide by 30 on both sides , we get
A = 1800/30
A = 60 cookies
Hence , the number of cookies is 60
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find the volume of the prism
Ben bowled 160 and 191 in his first two games. What must he bowl in his third game to have an average of at least 190?
5.
Find the volume, of a cone with a radius of 3 yards and a height of 11 yards.
ANSWER: Solve for volume
V≈79.26m³
Two major cities each have a population of
25,000 people. The population of City A
increases by about 150 people per year. The
population of City B increases by about 0.5%
per year.
Insert table from SPREADSHEET here, showing the first 5 years of population growth for both
cities.
Will City B ever have a larger population than City A? If so, what year will this occur?
Answer:
...insert the DESMOS graph that supports your answer here...
What 2 numbers multiply to get 35 and add up to get -12?
Answer:
-7 and -5
Step-by-step explanation:
Because Im smart not gonna lie.
Please help! Question is below!
Answer:
28.3 ft²
Step-by-step explanation:
Area = πr²
A = π × 3²
A = 28.2743339 = 28.3 ft²
Balance the nuclear reaction equation for the beta minus decay of iodine-131 by completing the missing numbers. superscript 131 subscript 53 upper i right arrow superscript question mark subscript 54 upper x e plus superscript 0 subscript question mark e. the superscript of xenon is . the subscript of the electron is .
Beta minus decay has to do with the loss of an electron. The superscript on the daughter nucleus is 131 while the subscript is 54;
What is a beta minus decay?The term beta minus decay has to do with the loss of an electron. The daughter nucleus so formed is always going to have an atomic number that is greater than that of the parent by 1 unit.
The complete nuclear reaction here is; [tex]\frac{131}{53} I ------- > \frac{131}{54} Xe + \frac{0}{-1} e[/tex] . The daughter nucleus here is Xe while the parent nucleus is I.
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Answer:
The superscript of xenon is 131
The subscript of the electron is -1
Step-by-step explanation: