Answer:
0.85
Step-by-step explanation:
3.4 / 4 = 0.85
Hope that helps!
3{ 2[6 + 4(7 + 3) - 2]}
Answer:
264
Step-by-step explanation:
\(3(2(6+4(7+3)-2))=\\3(2(6+4(10)-2))=\\3(2(6+40-2))=\\3(2(46-2))=\\3(2(44))=\\3(88)=\\264\)
Algebraic expression for 4less then 3x
When 'x' is 5, the Algebraic expression 3x - 4 evaluates to 11.
To find the algebraic expression for "4 less than the product of 3 and some number," let's break it down step by step.
First, let's define the unknown number as 'x.' Since the problem states "the product of 3 and some number," we can express this as 3 * x or simply 3x.
Next, we want to subtract 4 from this product. The phrase "4 less than" indicates subtraction, so we subtract 4 from 3x. This can be represented as 3x - 4.
In summary, the algebraic expression for "4 less than the product of 3 and some number" is 3x - 4, where 'x' represents the unknown number.
To calculate the value of this expression for a specific value of 'x,' you substitute that value into the expression and simplify. For example, if 'x' is 5, you would substitute 5 into the expression:
3(5) - 4
This simplifies to:
15 - 4 = 11
So, when 'x' is 5, the expression 3x - 4 evaluates to 11.
In general, the algebraic expression allows us to represent a mathematical relationship between quantities using symbols and operations. By substituting specific values into the expression, we can calculate the corresponding results.
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Note the complete question:
Algebraic expression for 4 less than the product of 3 and some number
What is the algebraic expression for "4 less than the product of 3 and some number?
Please help me understand the meaning of how to calculate.
Solve for B. Enter the number that goes under the radical Symbol
The number that goes beneath the radical is 7
What is the Pythagoras theorem?The Pythagoras theorem is used to find side or angle of a right angled triangle.
If you are dealing with any right triangle with given sides, using the Pythagorean Theorem, as shown below, makes things relatively simple.
Note that the Pythagorean Theorem: is a²+b²=c²
a and b are both the smaller sides of the triangle, while c is the hypotenuse (the longest side of the triangle).
This impies in this case, that we have 4 equivalent right triangles with given sides and for the hypotenuse, so let's see what we need to solve for by writing down what we know in a form following the Pythagorean Theorem.
The Pythagoras Equation is a²+b²=c²
Where a=3, b =? c=4
Isolate the unknown value without plugging in our known values yet. This step is unnecessary, but can help if you have trouble with making mistakes with your algebra.
a²+b²=c²
⇒b²=c²-a²
a=√(c²-a²)
Plug in our given values and solve for .
a=√(4²-3²)
a=√(16-9)
a=√7
Conclusively, the radical number that goes beneath 7
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Complete question :
The complete question is found on the attachment
Please help me with this
Step-by-step explanation:
Flip f(x) about the x-axis by multiplying it by -1
- f(x)
the squish it skinnier by multiplying it by 4
g(x) = - 4 f(x) = -4 x^2
Need help on number 10 pls due tmr!!!!
Answer:
try doing cross out way
Step-by-step explanation:
V7xV2
Realiza la siguiente multiplicación de raíces cuadradas
It is always a good practice to simplify the result whenever possible, but in this case, V14 is the simplest form of the product of V7 and V2.
To multiply the square roots V7 and V2, we can combine the numbers inside the square roots and simplify the result.
V7 * V2 = V(7 * 2) = V14
Multiplying the numbers under the square roots, we get 7 * 2 = 14. Therefore, the product of V7 and V2 is V14.
This means that the square root of 14 is the result of multiplying V7 and V2. However, it is important to note that V14 cannot be further simplified because 14 does not have any perfect square factors.
In summary, the product of V7 and V2 is V14. It is worth mentioning that when multiplying square roots, we can multiply the numbers inside the square roots and keep the square root symbol intact, unless the numbers inside have perfect square factors that can be simplified further.
It is always a good practice to simplify the result whenever possible, but in this case, V14 is the simplest form of the product of V7 and V2.
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The machinery in a cereal plant fills 350 g boxes of cereal. The specifications for the machinery permit for a certain amount of fill tolerance. It is found that the weights of filled cereal boxes are normally distributed with a mean of 350 g and a standard deviation of 4 g. What is the probability that a box of cereal is under filled by 5 g or more?
There is approximately an 89.44% probability that a box of cereal is underfilled by 5 g or more.
To find the probability that a box of cereal is underfilled by 5 g or more, we need to calculate the probability of obtaining a weight measurement below 345 g.
First, we can standardize the problem by using the z-score formula:
z = (x - μ) / σ
Where:
x = the weight value we want to find the probability for (345 g in this case)
μ = the mean weight (350 g)
σ = the standard deviation (4 g)
Substituting the values into the formula:
z = (345 - 350) / 4 = -1.25
Next, we can find the probability associated with this z-score using a standard normal distribution table or a statistical calculator.
The probability of obtaining a z-score less than -1.25 is approximately 0.1056.
However, we are interested in the probability of underfilling by 5 g or more, which means we need to find the complement of this probability.
The probability of underfilling by 5 g or more is 1 - 0.1056 = 0.8944, or approximately 89.44%.
Therefore, there is approximately an 89.44% probability that a box of cereal is underfilled by 5 g or more.
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Triangle JKL has vertices at J(−1, −5), K(−2, −2), and L(2, −4). Determine the translation direction and number of units of the image of triangle JKL if vertex J′ is at (−3, −5).
4 units down
4 units up
2 units to the right
2 units to the left
A triangle JKL has vertices at J(−1, −5), K(−2, −2), and L(2, −4) and J′ at (−3, −5). The translation direction is 2 units to the left. The number of units of the image of triangle JKL is 2 units to the left only.
Given that a triangle JKL has vertices at J(−1, −5), K(−2, −2), and L(2, −4) and J′ at (−3, −5). We have to determine the translation direction and the number of units of the image of triangle JKL. Let's first find the translation direction to determine the image of triangle JKL.
Seeing the position of J and J', we can determine that the translation was made in the left direction because J has moved from the point (-1,-5) to (-3,-5). Thus, the translation direction is 2 units to the left. Now, let's calculate the number of units of the image of triangle JKL.
Let's draw a rough sketch of the triangle JKL and locate its vertices J(-1,-5), K(-2,-2), and L(2,-4).To find the number of units of the image of triangle JKL, we need to find the horizontal and vertical distances between the vertices of the original triangle and its image.
We can use the horizontal distance between J and J′ as a reference to calculate the remaining distances. J has moved 2 units to the left, so the horizontal distance between J and J′ is 2. Now, let's calculate the vertical distance between J and J′. The coordinates of J and J′ are (-1,-5) and (-3,-5), respectively.
The difference between the y-coordinates of J and J′ is 0, which means that J and J′ are on the same horizontal line. Therefore, the vertical distance between J and J′ is 0. Hence, the image of the triangle JKL has moved 2 units to the left and 0 units vertically. Thus, the number of units of the image of triangle JKL is 2 units to the left only.
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Use linear approximation, i.e. the tangent line, to approximate 3√ 125.2 as follows: Let f(x)=√x. The equation of the tangent line to f(x) at x = 125 can be written in the form
y=mx+b
Using linear approximation, the expression √125.2 can be approximated as approximately 10.02.
How to find linear approximation?To find the equation of the tangent line to the function f(x) = √x at x = 125, determine the slope (m) and the y-intercept (b) of the tangent line.
First, find the slope (m) using the derivative of the function f(x) = √x:
f'(x) = 1 / (2√x)
Evaluate the derivative at x = 125:
f'(125) = 1 / (2√125) = 1 / (2 × 5) = 1/10
Now, find the y-coordinate of the point on the function f(x) at x = 125:
f(125) = √125 = 5
So, the tangent line at x = 125 passes through the point (125, 5) and has a slope of 1/10.
Using the point-slope form of a linear equation, the equation of the tangent line can be written as:
y - 5 = (1/10)(x - 125)
To simplify, multiply through by 10:
10y - 50 = x - 125
Rearranging the equation, express it in the form y = mx + b:
y = (1/10)x - 75/10 + 5
Simplifying further:
y = (1/10)x - 75/10 + 50/10
Combining the terms:
y = (1/10)x - 25/10
Therefore, the equation of the tangent line to f(x) = √x at x = 125 is y = (1/10)x - 25/10.
Now, use this tangent line to approximate the value of √125.2:
Substitute x = 125.2 into the equation:
y = (1/10)(125.2) - 25/10
y = 12.52 - 2.5
y ≈ 10.02
So, using linear approximation, approximate √125.2 as approximately 10.02.
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A right triangle has a leg of 12 cm and a hypotenuse of 19 cm.
What is the length of the other leg?
Round to the nearest tenth.
-----------------------------------------
7.0 cm
14.7 cm
22.5 cm
217.0 cm
Answer:
14.7 cm
Step-by-step explanation:
Using Pythagoras Theorem,
The length of the other leg
\( = \sqrt{ {19}^{2} - {12}^{2} } \)
\( = \sqrt{217} \)
\( = 14.730919...\)
= 14.7 cm (rounded to the nearest tenth)
2. Solve: 7(5x-2) = 6(6x - 1).
Answer:
-8
Step-by-step explanation:
35x-14=36x-6
35x-36x=-6+14
-x=8
x=-8
Is (-8, -10) a solution to this system of equations?
y =
Ex + 4
у
=
000
x
-
1
yes
no
Answer:
No is something worng
Step-by-step explanation:
y= 9/8 * x - 1
HELPPPPPPPPP
The rabbit population in Richmond County, which is currently at 7,288 rabbits, is increasing by 5% each year. How many rabbits will there be in 14 years?
The pοpuIatiοns οf the rabbits after 14 years is 14,430.
What is percentage?Percentage is defined as the hundredth part οf a number.
What is equation?An equatiοn is a fοrmuIa in mathematics that expresses the equaIity οf twο expressiοns by cοnnecting them with the equaIs sign (=). The wοrd equatiοn and its cοgnates in οther Ianguages may have subtIy different meanings; fοr example, in French, an équatiοn is defined as cοntaining οne οr mοre variables, whereas in English, an equatiοn is any weII-fοrmed fοrmuIa cοnsisting οf twο expressiοns Iinked by an equaIs sign.
The population of rabbits in increasing by 5% each year. This means that the growth rate is exponential. We would apply the formula for exponential growth which is expressed as
\(\text{A} = \text{P}(1 + \text{r})^{\text{t}}\)
Where
A represents the population after t years.t represents the number of years.P represents the initial population.r represents rate of growth.From the information given,
P = 7,288r = 5% = 5/100 = 0.05t = 7Therefore,
\(\text{A} = \sf 7288(1 + 0.05)^{14\)
\(\text{A} = \sf 7288(1.15)^{14\)
\(\text{A} = \sf 14430\)
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STONE COAST ACADEMY
22) A broker bought stock at $21.45 per share and sold it the following month for $26.40 per share. What was his gross profit (before
commissions and taxes) on 120 shares sold?
A. $610
B. $580
C. $594
D $601
hurry plz in exam
If f(x)= 3x-9 what is the value of x when f(x)=12
Step-by-step explanation:
you need to substitute the value of f(x)
The diagram shows EFG. Which term describes point H?
A. Circumcenter
B. Incenter
C. Orthocenter
D. Centroid
Point H is the ortho-center of our given triangle and option c is the correct choice.
We have been given an image of a triangle. We are asked to find the term that describes point H.
We can see that point H is the point, where, all the altitudes of our given triangle EFF are intersecting.
We know that ortho-center of a triangle is the point, where all altitudes of triangle intersect. Therefore, point H is the ortho-center of our given triangle and option c is the correct choice.
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Write an inequality to represent the situation below:
A child can be a maximum of 50 pounds to play on the playground.
ANSWERS ONLY NO LINKS PLEASE!!!!
\(c\leq 50\\\\(c=child)\\\\Sorry \ if \ this \ didn't \ help \ you.\)
If you spin the spinner 100 times, what is the best prediction for the number of times that it will land on Orange?
The number of times that it would land in orange is 20 times. Option B
What is the probability?The likelihood or chance that a particular occurrence or outcome will occur is quantified by probability. It gauges the level of uncertainty surrounding an occurrence. A value between 0 and 1, where 0 denotes an improbable event and 1 denotes a certain event, is used to express the probability of an event.
We have that;
Total number of times = 100
Fraction of orange = 1/5
Times landed in orange = 1/5 * 100
= 20 times
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a researcher wants to examine the effect of fertilizer and the effect of sunlight on the yield of tomatoes. she bought 60 tomato plants at a local garden store. she randomly assigned 30 tomato plants to be planted on the sunny side of the hill and 30 to be planted on the shady side. the 30 plants which are planted on the shady side are randomly assigned to one of three groups. the first group are grown with no fertilizer, the second group with a small amount of fertilizer, and the third group with a large amount of fertilizer. the 30 plants which are planted on the sunny side are likewise randomly assigned to one of three groups. the first group are grown with no fertilizer, the second group with a small amount of fertilizer, and the third group with a large amount of fertilizer. all tomato plants are planted at the same time and are all treated alike (in terms of how much they are watered, weeded, etc.), and the person who tends the plants does not know which group each is in. each plant is grown to maturity. the total weight of tomatoes obtained from each plant is recorded. Describe the design of the experiment (completely randomized or blocked).
Completely randomized over one factor (location), blocked by fertilizer
Blocked by fertilizer, blocked by location
Completely randomized over one factor (fertilizer)
Completely randomized over one factor (fertilizer), blocked by location
Completely randomized over two factors (fertilizer and location)
The design of the experiment is Completely randomized over two factors (fertilizer and location).
Randomization is a statistical technique used in experimental design to ensure that all possible combinations of the factors being studied are represented in the study groups. It is used to eliminate bias and control for confounding variables that may affect the outcome of an experiment.
The researcher randomly assigned the tomato plants to be planted on either the sunny or the shady side of the hill. This creates two groups or two levels of the factor "location". She also randomly assigned the tomato plants to one of three groups based on the amount of fertilizer given, creating three groups or three levels of the factor "fertilizer".
The random assignment of plants to the different groups for both factors helps to ensure that any differences in the yield of tomatoes is due to the independent variables (fertilizer and location) being tested, and not due to other extraneous factors.
Therefore, The design of the experiment is Completely randomized over two factors (fertilizer and location).
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Determine the total number of roots of each polynomial function. g(x) = 5x - 12x2 + 3
Answer:
2 total roots
x = -1/3, 3/4
Step-by-step explanation:
We can use the discriminant b² - 4ac to find how many roots a polynomial has.
Answer:
2Step-by-step explanation:
Edginuity 2021
Plz anserw this. THANK YOU.
I will give brainelst
Answer:
\(m\angle 3=30^\circ,~m\angle 8=150^\circ\)
Step-by-step explanation:
Angles and Lines
We must recall some properties of angles and lines:
Linear pair of angles: Two angles are linear if they are adjacent angles formed by two intersecting lines. They must add up to 180°.
Corresponding angles: They are angles that occupy the same relative position at each intersection where a straight line crosses two others. If the two lines are parallel, the corresponding angles are congruent, i.e., they have the same measure.
The figure shows two parallel lines a and b, crossed by the line m. These conditions make the following relations be true:
Angles 3 and 4 are linear pair
Angles 8 and 4 are corresponding.
The first relation leads to:
\(m\angle 3+m\angle 4 = 180^\circ\)
The second relation leads to:
\(m\angle 4 = m\angle 8\)
Since:
\(m\angle 3=x\)
\(m\angle 8=5x\)
Substituting:
\(x + 5x = 180^\circ\)
Simplifying:
\(6x = 180^\circ\)
Solving for x:
\(x = 180^\circ/6\)
\(x = 30^\circ\)
Now,
\(m\angle 3=x=30^\circ\)
\(m\angle 8=5x=150^\circ\)
\(m\angle 3=30^\circ,~m\angle 8=150^\circ\)
Lara and Hayden volunteer at an animal shelter. Lara already volunteered 50 hours and will volunteer 5 hours more each week. Hayden already volunteered to hours and will volunteer 10 hours each week . At these rates, how many will it take Lara and Hayden to volunteer the same number of ?
There are 8 to take Lara and Hayden to volunteer the same number.
What is Mathematical expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
Lara already volunteered 50 hours and will volunteer 5 hours more each week.
And, Hayden already volunteered to 10 hours and will volunteer 10 hours each week .
Now, For Lara;
⇒ 50 + 5x
And, For Hayden;
⇒ 10 + 10x
So, For same number of volunteer is,
⇒ 50 + 5x = 10 + 10x
⇒ 50 - 10 = 10x - 5x
⇒ 40 = 5x
⇒ x = 40/5
⇒ x = 8
Thus, There are 8 to take Lara and Hayden to volunteer the same number.
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You visit the tallest building in a city and drop a penny off the edge of the observation deck. The distance the penny will fall is 16 feet the first second, 48 feet the next second, 80 feet the third second, and then it will continue falling at the same rate. How many feet will the penny fall during the 8th second?
384 feet
272 feet
256 feet
240 feet
12 out of 15 randomly selected
students in a class said they would vote
for Kim for class president.
Which is most likely true about all 35
students in the class?
Answer:
28 students would vote for kim
Step-by-step explanation:
Well first you do 12/15 which would be 0.8
Now to find how many students in that class said they would vote for Kim for class president, we multiply 0.8 by 35 to get that 28 students said they would vote for kim
Which of the following equations is 2x + 3y = 6 written in slope-intercept form.
oy--(2/3)x + 6
y=-2/3)x+ 2
y=-(3/2)x+ 2
The equation in the slope-intercept form is y = (-2/3)x + 2. Then the correct option is B.
What is the equation of line?The equation of line is given as
y = mx + c
Where m is the slope and c is the y-intercept.
The equation is given below.
2x + 3y = 6
Then arrange the equation in the slope-intercept form. Then we have
3y = -2x + 6
y = (-2/3)x + 2
Then the correct option is B.
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Hello! Please help thanks
Answer:
A. \(\frac{5}{13}\)
Step-by-step explanation:
Hi there!
We are given right triangle PQR, with PR=5, RQ=12, and PQ=13
We want to find the value of sin(Q)
Let's first recall that sine is \(\frac{opposite}{hypotenuse}\)
In reference to angle Q, PR is the opposite side, RQ is the adjacent side, and PQ is the hypotenuse
So that means that sin(Q) would be \(\frac{PR}{PQ}\)
Substituting the values of PR and PQ gives sin(Q) as \(\frac{5}{13}\), which is A
Hope this helps!
who can help me out in basic mathematics IT
Answer:
Whats the question?
A boat is pulled into a dock by a rope attached to the bow of the boat and passing through a pulley on the dock that is 1 m higher than the bow of the boat. If the rope is pulled in at a rate of 1 m/s, how fast (in m/s) is the boat approaching the dock when it is 5 m from the dock
Answer:
dy/dt = 1.02 m/s
Step-by-step explanation:
First of all, let the distance of the dock above the bow of the boat be represented by x.
Also, let the distance of the boat from the dock be represented by y.
Let z represent the length of the rope.
Now, we can use pythagoras theorem to find a relationship between x, y and z since they form a right angle triangle where the vertical part is the dock, the base represents the water and the hypotenuse represents the rope.
Thus;
x² + y² = z²
Using implicit differentiation, we have;
2x(dx/dt) + 2y(dy/dt) = 2z(dz/dt)
We are given that the dock is 1 meter above the bow. Thus, x = 1
Also, the height is not changing and so dx/dt = 0
We are told the dock is 5 feet away from the boat. Thus, y = 5
dy/dt is is the speed we are looking for which is the rate at which the boat is approaching the dock.
We are not given the value of z but we can find it by using pythagoras theorem since we know the dock is 1 meter above the bow and the boat is 5 m away.
Thus;
z = √(1² + 5²)
z = √26
We are told the rope is being pulled in at the rate of 1 m/s. Thus; dz/dt = 1
Plugging all relevant values into the differentiation equation above gives;
2(1)(0) + 2(5)(dy/dt) = 2(√26)(1)
10(dy/dt) = 2√26
Divide both sides by 10 to get:
dy/dt = (√26)/5
dy/dt = 1.02 m/s
The following linear programming problems are neither in standard form nor in canonical form. Why?
Minimize z = 3x + 2y
subject to the constraints
2x + y<- 4
3x – 2y <-6
x>-0, y>-
Therefore , the solution of the given problem of linear equation comes out to be neither the standard form nor the canonical form apply to
x >= 0, y >= 0, s1 >= 0, s2 >= 0.
Define linear equation.A linear regression model is one that uses the equation y=mx+b. The inclination is B, and the y-intercept is m. Even though y and y are separate parts, the preceding phrase is commonly referred to as a "math equation with two variables." The only factors in bivariate linear equations are two. There are never any answers to the application areas of linear equations. Y=mx+b .
Here,
We must add slack variables to the additional constraints in order to transform this problem into simple form. Moreover, we must confirm that non-negativity constraints apply to all variables. As a result, we can add two slack variables, s1 and s2, to change the restrictions into the format shown below:
=> 2x + y + s1 = -4
=> 3x - 2y + s2 = -6
The following standard form results from the addition of non-negativity requirements for the slack variables:
Reduce z = 3x + 2y while keeping in mind the limitations
=> 2x + y + s1 = -4
=> 3x - 2y + s2 = -6
=> x >= 0, y >= 0, s1 >= 0, s2 >= 0
Hence, neither the standard form nor the canonical form apply to the presented linear programming issue.
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PLSSS HELP ME 14 POINTS
The transformation of f(x) to g(x) is :
Vertically compressed by a factor of 9Shifted down by 2 Describing the transformation of the functionsFrom the question, we have the following parameters that can be used in our computation:
The functions f(x) and g(x)
Where, we have
f(x) = x
g(x) = 1/9x - 2
The graph of the functions f(x) and g(x) are added as an attachment
And we have the transformations to be:
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