Answer:
Step-by-step explanation:
Suppose that y varies directly with x, and y= --27 when x= --3 .
A) write a direction variation equation that relates x and y.
B) Find Y when x= 5
Answer:
A) y=9x
B) y=45 when x=5
Step-by-step explanation:
Part A
\(y=kx\\-27=k(-3)\\-27=-3k\\9=k\\y=9x\)
Part B
\(y=9(5)\\y=45\)
What is the volume of the pyramid? Show all work.
6 m
8 m
4 m
A camcorder costing 150 has a markup rate of 35% . Find the markup.
Conjecture: Any negative number cubed is what?
Answer:
Also a negative number
Step-by-step explanation:
negative times negative is equal to positive, positive times negative is equal to negative
First calculate the cube of the number as if it is a positive number and then just put minus (-) sign before the resultant.
What is complex number?A complex number is a combination of real values and imaginary values. It is denoted by z = a + ib, where a, b are real numbers and i is an imaginary number.
If x is a real number,
-x is a negative real number,
(-x)³=-(x³)
e.g.(-3)³=-(3³)= -27
(-½)³=-(½)³= -(1/8)
The cube of a negative number can be calculated in the same way as you calculate for the positive number.
First calculate the cube of the number as if it is a positive number and then just put minus (-) sign before the resultant.
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(3,4) m=0
Formula
Y-y=m(x-x1)
Answer:
\(y1 = 4 \\ x1 = 3\)
\(y - y1 = m(x - x1)\)
\(y - 4 = 0(x - 3)\)
\(y - 4 = 0\)
\(y = 4\)
$1200 is divided among four brothers so that each gets $100 more than
the brother who is his next younger brother. How much does the youngest
brother get?
O $150
$200
O $250
O $300
. A rectangular prism has a volume of 1374.28 inches. The prism is 9.4 inches wide and 17.2 inches long. What is the height of the prism?
Answer:
h = 8.5 inches
Step-by-step explanation:
Given that,
The volume of a rectangular prism = 1374.28 inches³
The prism is 9.4 inches wide and 17.2 inches long.
We need to find the height of the prism. We know that the formula for the volume of rectangular prism is given by :
V = lbh
Where
h is the height of the prism
So,
\(h=\dfrac{V}{lb}\\\\h=\dfrac{1374.28 }{9.4\times 17.2}\\\\h=8.5\ inches\)
So, the height of the prism is equal to 8.5 inches.
Felix is constructing a three-dimensional figure. First he draws the views for the figure. A bottom row of 6 cubes, second row of 3 cubes, and top row of 3 cubes. A column of 2 cubes. A bottom row of 6 cubes, and second row of 2 cubes. Column of 3 cubes. Which views can Felix use to construct the same figure? A bottom row of 6 cubes, second row of 3 cubes, and top row of 1 cube. A bottom row of 6 cubes and second row of 2 cubes. A bottom row of 6 cubes, second row of 3 cubes, and top row of 1 cube. A bottom row of 6 cubes and second row of 2 cubes. A bottom row of 6 cubes, second row of 3 cubes, and top row of 1 cube. A column of 2 cubes. A column of 3 cubes. A bottom row of 6 cubes and second row of 2 cubes. A column of 2 cubes. A column of 3 cubes.
A view which Felix can use to construct the same figure include the following: A. a bottom row of 6 cubes, second row of 3 cubes, and top row of 1 cube.
What is an isometric sketch?In Mathematics and Geometry, an isometric sketch is sometimes referred to as an isometric drawing and it can be defined as a graphical (pictorial) representation of a physical object or geometric shape in technical and engineering drawings, especially by drawing all its three dimensions (3D) at full scale;
Front viewEnd viewPlanIn this context, we can reasonably infer and logically deduce that the front view is a view which Felix can use to construct the same three-dimensional figure because its orientation influences the other views.
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PLS HELP ASAP!!!!!!!!!!!!!!!!!!
Answer:
it A because if u apply pressure the molecules will be cramped
Step-by-step explanation:
What is this equation simplified?
(2xy^3)^-2
The given exponential expression, (2xy³)⁻², on simplifying becomes 1/2²x²y⁶.
In the question, we are asked to simplify the given expression, (2xy³)⁻².
The given expression is an exponential expression.
Some of the exponential laws that are used to simplify exponential expressions are as follows:
The Product of Powers Rule: \(x^m * x^n = x^{m+n\)
The quotient of Powers Rule: \(x^m \div x^n = x^{m-n\)
The Power of a Power Rule: \((x^m)^n = x^{mn\)
The Power of Product Rule: \((xy)^n = x^n*y^n\)
The Power of Quotient Rule: \((x / y)^n = x^n / y^n\)
The Zero Power Rule: \(x^0 =1\)
The Negative Exponent Rule: \(x^{-n} = (1/x^n)\).
Using these laws of exponents, we can simplify the given expression, (2xy³)⁻², as follows:
(2xy³)⁻²
= 2⁻²x⁻²y⁻⁶ {Using The Power of a Power Rule: \((x^m)^n = x^{mn\)}
= 1/2²x²y⁶ {Using The Negative Exponent Rule: \(x^{-n} = (1/x^n)\)}
Thus, the given exponential expression, (2xy³)⁻², on simplifying becomes 1/2²x²y⁶.
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1 2/5 x 1 2/5 as a fraction mixed fraction
Answer:
1 24/25 or one and twenty-four twenty-fifths (in word form).
Step-by-step explanation:
This would be the answer since, we firstly have to convert the mixed fractions into improper fractions. 7/5*7/5, which equals to 49/25. In simplified form it would be 1 2/25.
1 2/5=7/5
7/5*7/5= 49/25 or 1 24/25.
Anyhow, the answer is 1 24/25
The simplified mixed fraction for the given fraction is \(24\frac{1}{2}\)
What are mixed fractions?A fraction represented with its quotient and remainder is a mixed fraction, a mixed fraction is a combination of a whole number and a proper fraction.
Given that a fraction \(1\frac{2}{5}\) × \(1\frac{2}{5}\)
We need to simply it in a mixed fraction,
\(1\frac{2}{5}\) × \(1\frac{2}{5}\)
= 7/2 × 7/2
= 49 / 2
= \(24\frac{1}{2}\)
Hence, the simplified mixed fraction for the given fraction is \(24\frac{1}{2}\)
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I need a help with this hw
The values of the trigonometric ratios are: a) - 7/5, b) -75 c ) -1/5 d ) -25/12
What is trigonometric ratio?
Trigonometric ratios are measurements of the lengths of two sides of a triangle. There are three basic trigonometric ratios: sine, cosine, and tangent. Sine ratios are the ratios of the length of the side opposite the angle they represent over the hypotenuse
the give parameters are:
tanα = -4/3 where π/2 <α<π and sinβ = √3/2, 0<β<π/2
a) sin(α+β)
Using the trig ratios tan = opp/adj
but from pyth. rule, 4² + 3² = h²
16+9 = h²
h = √25 = 5
Now from trig Sin(α+β)
4/5 + 3/5
=- 7/5
b) cos(α+β)
cos = ad/hypo
4/5 + 3/5
= -7/5
c) Sin(α-β)
4/5 - 3/5
-1/5
d) tan(α-β)
= -4/3 - 3/4
= (-16 - 9)/ 12
-25/12
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3. (03.06) Choose the point-slope form of the equation below that represents the line that passes through the point (6, -3) and has a slope of 1/2
Answer:
The answer is
\( \huge y + 3 = \frac{1}{2} (x - 6) \\ \)
Step-by-step explanation:
To find an equation of a line in point slope form when given the slope and a point we use the formula
\(y - y_1 = m(x - x_1)\)
where
m is the slope
( x1 , y1) is the point
From the question we have the final answer as
\(y + 3 = \frac{1}{2} (x - 6) \\ \)
Hope this helps you
Problem 5. A skating rink in the shape shown has an area of
2,800 ft”. Find a formula for the perimeter of the rink as a
function of the radius r.
Answer:
\(P=\dfrac{\pi r^2+2800}{r} $ ft\)
Step-by-step explanation:
Let the length of the rectangular part =l
The width will be equal to the diameter of the semicircles.
Area of the Skating Rink= \(2(\frac{\pi r^2}{2})+(lX2r)\)
Therefore:
\(\pi r^2+2lr=2800\\2lr=2800-\pi r^2\\$Divide both sides by 2r\\l=\dfrac{2800-\pi r^2}{2r}\)
Perimeter of the Shape =Perimeter of two Semicircles + 2l
\(=2\pi r+2\left(\dfrac{2800-\pi r^2}{2r}\right)\\=2\pi r+\dfrac{2800-\pi r^2}{r}\\=\dfrac{2\pi r^2+2800-\pi r^2}{r}\\=\dfrac{\pi r^2+2800}{r}\)
The perimeter of the rink is given as:
\(P=\dfrac{\pi r^2+2800}{r} $ ft\)
the sum of two number is twenty-six using x to represent the smaller of the two numbers, translate "the difference between five more then the larger number and twice the smaller number' into a variable expression. then simplify
"the difference between five more than the larger number and twice the smaller number' can be written as the expression 31 -3x.
What is expression?Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation.
Given, the sum of two numbers is twenty-six the difference between five is more than the larger number and twice the smaller number' into a variable expression.
Since x represents the smaller of the two numbers,
Thus the larger number will be 26 - x
The expression asked above will be:
=> 5 + larger number - 2 * smaller number
=> 5 + 26 - x - 2 * x
=> 31 -3x
therefore, "the difference between five more than the larger number and twice the smaller number' can be written as the expression 31 -3x.
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The weight of a small Starbucks coffee is a normally distributed random variable with a mean of 385 grams and a standard deviation of 8 grams find the weight that corresponds to each event(use excel or appendix c to calculate the z value. Round your final answers to 2 decimal places)
URGENT
the weight that corresponds to each of the events are:
a) The weight is less than 380 grams: \($P(X < 380)=0.266$\).
b) The weight is between 375 and 395 grams: \($P(375 < X < 395)=0.7887$\).
c) The weight is greater than 400 grams: \($P(X > 400)=0.0304$\).
How to deal with Normal distribution?Let X be the weight of a small Starbucks coffee. We are given that X is normally distributed with mean \($\mu=385$\) grams and standard deviation \($\sigma=8$\).
We want to find the weight that corresponds to each of the following events:
a) The weight is less than 380 grams.
b) The weight is between 375 and 395 grams.
c) The weight is greater than 400 grams.
To solve these problems, we first standardize the distribution by finding the corresponding z-scores using the formula:
\($z=\frac{X-\mu}{\sigma}$$\)
a) The weight is less than 380 grams.
We want to find P(X<380). We can find the z-score for X=380 as follows:
\($z=\frac{380-385}{8}=-0.625$$\)
Using a standard normal table or calculator, we find that the probability P(Z<-0.625)=0.266. Therefore,
\($P(X < 380)=P\left(Z < -\frac{0.625}{1}\right)=0.266$$\)
b) The weight is between 375 and 395 grams.
We want to find \($P(375 < X < 395)$\). We can find the z-scores for X=375 and X=395 as follows:
\($z_1=\frac{375-385}{8}=-1.25,\quad z_2=\frac{395-385}{8}=1.25$$\)
Using a standard normal table or calculator, we find that the probability P(-1.25<Z<1.25)=0.7887. Therefore,
\($P(375 < X < 395)=P\left(-1.25 < Z < 1.25\right)=0.7887$$\)
c) The weight is greater than 400 grams.
We want to find P(X>400). We can find the z-score for X=400 as follows:
\($z=\frac{400-385}{8}=1.875$$\)
Using a standard normal table or calculator, we find that the probability P(Z>1.875)=0.0304. Therefore,
\($P(X > 400)=P\left(Z > \frac{1.875}{1}\right)=0.0304$$\)
Therefore, the weight that corresponds to each of the events are:
a) The weight is less than 380 grams: \($P(X < 380)=0.266$\).
b) The weight is between 375 and 395 grams: \($P(375 < X < 395)=0.7887$\).
c) The weight is greater than 400 grams: \($P(X > 400)=0.0304$\).
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how many ways can the letters a, b, c, d, e be arranged where d and e cannot be next to eachother
Answer:
Step-by-step explanation:
a
2
3
us
DO
ON
7
45
US
S
Answer:
9.8 sq. in.
Step-by-step explanation:
A = πr²
Diameter: 10 inches
Radius: 5 inches
A = π · 5²
A = π · 25
A = 78.54
Section 4 is about one eighth of the circle.
78.54 ÷ 8
9.8175
9.8175 ≈ 9.8
Order the expressions from least value to greatest value.
I added a screenshot
Answer:
your mad your mad your mad your mad your mad your mad YOUR MAD YOUR MAD YOUR MAD YOUR MAD YOUR MAD YOUR MAD YOUR MAD YOUR MAD YOUR MAD YOUR MAD YOUR MAD YOUR MAD YOUR MAD YOUR MAD YOUR MAD YOUR MAD YOUR MAD YOUR MAD YOUR MAD YOUR MAD YOUR MAD YOUR MAD YOUR MAD YOUR MAD YOUR MAD YOUR MAD YOUR MAD YOUR MAD YOUR MAD YOUR MAD YOUR MAD YOUR MAD YOUR MAD YOUR MAD YOUR MAD YOUR MAD YOUR MAD YOUR MAD YOUR MAD YOUR MAD YOUR MAD YOUR MAD YOUR MAD YOUR MAD YOUR MAD YOUR MAD YOUR MAD YOUR MAD YOUR MAD YOUR MAD YOUR MAD YOUR MAD YOUR MAD YOUR MAD YOUR MAD YOUR MAD YOUR MAD YOUR MAD YOUR MAD YOUR MAD YOUR MAD YOUR MAD YOUR MAD YOUR MAD YOUR MAD YOUR MAD YOUR MAD YOUR MAD YOUR MAD YOUR MAD YOUR MAD YOUR MAD YOUR MAD YOUR MAD YOUR MAD YOUR MAD YOUR MAD YOUR MAD YOUR MAD YOUR MAD YOUR MAD YOUR MAD YOUR MAD YOUR MAD YOUR MAD YOUR MAD YOUR MAD YOUR MAD YOUR MAD YOUR MAD YOUR MAD YOUR MAD YOUR MAD YOUR MAD YOUR MAD YOUR MAD YOUR MAD YOUR MAD YOUR MAD YOUR MAD
Step-by-step explanation:
Management of natural resources can affect the sustainability of human populations. For example, consider an effort to decontaminate a small village’s water supply. This effort is projected to increase the carrying capacity from an initial population of 400 people (P=400) to 450 people (K = 450) during the course of 10 years (x=10). Use the simulation to determine the growth rate r of the population in this village.
The growth rate of the population, given the initial population and the population after 10 years is 12. 5 % every 10 years.
How to find the growth rate ?To find the percent change or growth rate of a quantity between two different values, you can use the formula:
Percent change = ( new value - old value ) / old value x 100%
The new value would be the population of the village after 10 years which is 450 people.
The old value is the initial population of the village which is 400
The growth rate of the population is:
= ( 450 - 400 ) / 400 x 100 %
= 12. 5 %
The growth rate for the village is therefore 12. 5 % every ten years.
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Which is bigger a milliliter or a liter
Answer: the answer is a liter
Answer:
A liter
Step-by-step explanation:
One liter is 100 mililiters
Robin dropped a lacrosse ball from a building. After each bounce the height of the ball is measured and recorded in the table. What is the height of the ball after bounce 7?
Answer:
2.5 cm
Step-by-step explanation:
From the first 4 bounces, we find that the height of the lacrosse ball after each bounce is 1/4 the height that it was after the previous bounce. Therefore, since the 7th bounce is 6 bounces after the first bounce, we can set up an equation to find the balls height (y), after some number of bounces after the first one:
\(y=10240*(\frac{1}{4})^x\).
Plug-in 6 for x to get 2.5.
Hope this helps :)
2.2.12 In the design of an electromechanical product, 12 com- ponents are to be stacked into a cylindrical casing in a manner that minimizes the impact of shocks. One end of the casing is designated as the bottom and the other end is the top. a. If all components are different, how many different designs are possible
Answer:
479,001,600 different designs are possible
Step-by-step explanation:
To solve this question, we want to know in how many ways 12 elements can be arranged.
Number of possible arrangements of x elements:
The number of possible arrangments of x elements is given by:
\(A_{x} = x!\)
In this question:
12 elements. So
\(A_{12} = 12! = 479001600\)
479,001,600 different designs are possible
Match the following expression to the correct problem
Column A
1. __ thirteen times a number squared
2. __ a number times eleven plus thirty-three
3. __ twelve less than a number
4. __ The quotient of a number and twenty
Column B
A. 11n + 33
B. p ÷ 20
C. y - 12
D. 13b^2
Example: 1. __ D. 13b^2
please help
Hence, in respοnse tο the prοvided questiοn, we can say that functiοn B. The quοtient οf a number and twenty cοrrespοnds tο p ÷ 20.
What is functiοn?Mathematicians research numbers and their variants, equatiοn and related structures, οbjects and their lοcatiοns, and prοspective lοcatiοns fοr these things. The term "mοdule" is used tο describe the cοnnectiοn that exists in between set οf inputs, each οf which has a cοrrespοnding οutput. A functiοn is an input-οutput cοnnectiοn in which each inputs results in sοmething like a single, distinct return.
A dοmain, cοdοmain, οr scοpe is assigned tο each functiοn. Functiοns are usually denοted by the letter f. (x). An x is used fοr entry. On capabilities, οne-tο-οne capabilities, multiple prοwess, in capabilities, and οn capabilities are the fοur majοr types οf accessible functiοns.
D. thirteen times a number squared cοrrespοnds tο 13b².
A. a number times eleven plus thirty-three cοrrespοnds tο 11n + 33.
C. twelve less than a number cοrrespοnds tο y - 12.
B. The quοtient οf a number and twenty cοrrespοnds tο p ÷ 20.
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(6-2x) +(15-3x) where x=0.2
\( \sf{\blue{«} \: \pink{ \large{ \underline{A\orange{N} \red{S} \green{W} \purple{E} \pink{{R}}}}}}\)
Expression: \(\displaystyle\sf (6-2x) +(15-3x)\)
Substituting \(\displaystyle\sf x=0.2\):
\(\displaystyle\sf (6-2(0.2)) +(15-3(0.2))\)
Simplifying the expression inside the parentheses:
\(\displaystyle\sf (6-0.4) +(15-0.6)\)
\(\displaystyle\sf 5.6 +14.4\)
Calculating the sum:
\(\displaystyle\sf 20\)
Therefore, \(\displaystyle\sf (6-2x) +(15-3x)\) evaluated at \(\displaystyle\sf x=0.2\) is equal to \(\displaystyle\sf 20\).
\(\huge{\mathfrak{\colorbox{black}{\textcolor{lime}{I\:hope\:this\:helps\:!\:\:}}}}\)
♥️ \(\large{\underline{\textcolor{red}{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)
on the first day of school bethanys family donated $60 to the field trip fundraiser. what percent of their goal did bethanys family donate the goal is 8,000
Answer:
B
Step-by-step explanation:
Got it right on edge, plz mark brainliest
Answer: 0.25
Step-by-step explanation:
(4⋅5)(x⋅y) is what property?
The given expression (4⋅5)(x⋅y) has a multiplication property.
What is the multiplication property?When we multiply both sides of an equation by the same number, the two sides remain equal, according to the multiplication property of equality. According to the Multiplication Property for Equations, an equation can be multiplied or divided by the same number on each side of the equation without changing the solution. Multiplication has the commutative property: Changing the order of the factors has no effect on the product. For instance, 4 × 3 = 3 × 4, 4 times 3 = 3 times 4 4 × 3=3 × 4 4, multiplied by 3, equals 3, multiplied by 4.Multiplication Properties
Multiplication's commutative property.Multiplication associative property.Multiplication's Distributive Property.Multiplication's Identity PropertySo, (4⋅5)(x⋅y) is a multiplication property as:
4(x-y)-5(x-y) = 5(x-y)-4(x-y)Therefore, the given expression has a multiplication property.
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Use the completing the square to solve x^2+6x=12.
Answer:
x= -3 ± \(\sqrt{21}\)
Step-by-step explanation:
\(x^{2}\)+6x=12
We add 9 [\((6/2)^{2}\)] to both sides to complete the square as \(x^{2}\)+6x+9 = \((x+3)^{2}\).
\((x+3)^{2}\)=21
Now we take the square root of both sides:
x+3=±\(\sqrt{21}\)
x= -3 ± \(\sqrt{21}\)
Answer:
x = -3 ± \(\sqrt{21}\)
Step-by-step explanation:
\(x^2+6x=12\)
\((\frac{b}{2} )^{2}\) = 9
\(x^2+6x + 9 =12 + 9\)
\((x+3)^{2} =21\)
x + 3 = \(\sqrt{21}\)
x = -3 ± \(\sqrt{21}\)
Express the product of 2x^2 +7x-10 and x+5 in Standard form.
Answer:
2x^3 + 17x^2 + 25x - 50
Step-by-step explanation:
Malcolm has $50 gift card to a local car wash and order is the ultimate car wash each visit is $8.95
The amount cheaper is the car washes Malcolm orders than the car washes Martha's order is $13.
The correct answer choice is option B.
How much cheaper is the car washes Malcolm orders than the car washes Martha's order?Malcolm's gift card = $50.
Cost Malcolm's car wash per visit = $7
Martha's gift card = $180
Cost Martha's car wash per visit = Difference between gift card balance of first and second visit
= $180 - $160
= $20
How cheap is the car washes Malcolm orders than the car washes Martha's order = $20 - $7
= $13
Therefore, Malcolm's car wash is cheaper than Martha's car wash by $13
The complete question is attached in the diagram.
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