Answer:
pretty simple, you should get 1824
Step-by-step explanation:
first find area of square, you should get 1536 in^2. Then triangle, the formula is base times height divided by 2. lmk if you need more help
What are the factors of 3x² 17x 10?
The factors are (3x + 2)(x + 5).
What is Factorization?Factorization or factoring is the process of breaking down an entity—such as a number, matrix, or polynomial—into a product of another entity—or factors—that, when multiplied together, give the original number, matrix, or other entity.
Given 3x² + 17x + 10
factors of equation is
In order to factorize this expression, we can split the Middle Term.
If we want to factorize an expression like a x² + b x + c using this method, we need to think of two numbers that are like:
n₁.n₂ = a.c = 3.10 = 30
and n₁ + n₂ = b = 17
3x² + 2x + 15x + 10
= x(3x + 2) + 5(3x + 2)
= (3x + 2)(x + 5)
Hence, the factors are (3x + 2)(x + 5).
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The correct question is
Factorize 3x² + 17x + 10
If the jumping price is $18. 50 per hour and the fee for socks is $3. 25 , what is the total cost, in dollars, for the 5 friends to jump for one hour?.
Answer:
let x = total cost
SOLUTION:x = 5(18.5 + 3.25)
x = 5(21.75)
x = $108.75
CHECKING:
108.75 = 5(18.5) + 5(3.25)
108.75 = 92.5 + 16.25
108.75 = 108.75
Therefore, the total cost will be $108.75.
Step-by-step explanation:
heart and star pls <3 brainliest will be appreciated <3(っ◔◡◔)っ -{ elyna s }-What is the value of 7 9 of 45 answer?
The complete and simplified answer to the question what is 7/9 of 45 is 35.
The number above the fraction line is called the numerator and the number below it is called the denominator. To work out the fraction of any number, we first need to convert that whole number into a fraction as well.
Any number can be converted to fraction if you use 1 as the denominator:
45 / 1
So now that we've converted 45 into a fraction, to work out the answer, we put the fraction 7/9 side by side with our new fraction, 45/1 so that we can multiply those two fractions.
All we need to do is convert the whole number to a fraction and then multiply the numerators and denominators.
7 × 45 / 9 × 1 = 315 / 9
In this case, our new fraction can actually be simplified down further. To do that, we need to find the greatest common factor of both numbers.
You can use our handy GCF calculator to work this out yourself if you want to. We already did that, and the GCF of 315 and 9 is 9.
We can now divide both the new numerator and the denominator by 9 to simplify this fraction down to its lowest terms.
315 / 9 = 35
9 / 9 = 1
When we put that together, we can see that our complete answer is:
35 / 1
The complete and simplified answer to the question what is 7/9 of 45 is:
35
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Kelly bought 4 boxes of sunglasses at a swap meet. Each box had 20, 25, or 30 pairs in it. Kelly estimates a reasonable number of sunglasses to be 70.
Kelly's estimate cannot be said to be reasonable because it falls below the range of acceptable number of sunglasses from the given amount in each box.
How to solve Algebra Word Problems?We are told that Kelly bought 4 boxes.
Now, we are told that each box had either 20, 25, or 30 pairs of sunglasses in it.
Thus;
Minimum number of sunglasses = 20 * 4 = 80 sunglasses
Maximum number of sunglasses = 30 * 4 = 120 sunglasses
Now, we are told that Kelly estimates a reasonable number of sunglasses to be 70.
From our previous calculations, the minimum possible can only be 80 and as such her estimate falls lower and we conclude that it is unreasonable.
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Points on a perpendicular bisector of a line segment are equidistant from the segment’s endpoints.
a. True
b. False
Answer:If a point is on the perpendicular bisector of a segment, then it is equidistant from the endpoints of the segment. In addition to the Perpendicular Bisector Theorem, we also know that its converse is true.
Step-by-step explanation:
Points on a perpendicular bisector of a line segment are equidistant from the segment’s endpoints.
a. True
Piper is building a walkway with a width of xx feet to go around a swimming pool that measures 7 feet by 6 feet. If the total area of the pool and the walkway will be 506 square feet, how wide should the walkway be?
According to the given statement the width of the walkway (x) is 8 feet.
How do you square an example?Four of the sides of a square's two-dimensional form are equal in length. In a square, all four internal angles were right angles, and the opposing sides are parallel to one another. Real-world examples of square-shaped things include floor tiles, tea towels, hexagonal tiles, cheddar cheese, and so on.
Briefing:Area of a Square = (side)(side)
Total area of the pool and walkway = 506 sq. ft
Length of the pool and walkway = 7 + 2x
Width of the pool and walkway = 6 + 2x
Thus, we will have the equation of the total area as:
(7 + 2x)(6 + 2x) = 506
4x² + 12x + 14x + 42 = 506
4x² + 26x + 42 = 506
4x² + 26x + 42 - 506 = 0
4x² + 26x - 464 = 0
2x² + 13x - 232 = 0
[tex]x = - \frac{\sqrt{169 + 1856}}{4}- \frac{13}{4} ,\\\\\quad x = \frac{\sqrt{2025}}{4} - \frac{13}{4} \\\\\quad x = \frac{45}{4}- \frac{13}{4} \\\\[/tex]
x = 8
so, the width of the walkway (x) would be 8 feet.
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round 3 to the nerest 10th. round 1 to the nerest tenth. round 26to the nerset tenth. round 22 to the nerst tenth. round 8.5 to the nerest tenth. round
The values are
round 3 to the nearest 10th is 3.0round 1 to the nearest 10th is 1.0round 26 to the nearest 10th is 26.0round 22 to the nearest 10th is 22.0round 8.5 to the nearest 10th is 8.5Define Rounding Numbers
Rounding means replacing a number with an approximate value that has a shorter, simpler, or more explicit representation. For example, replacing $23.4476 with $23.45, the fraction 312/937 with 1/3.
Round Values to Nearest Tenth :
To round the decimal number to its nearest tenth, look at the hundredth number. If that number is greater than 5, add 1 to the tenth value. If it is less than 5, leave the tenth place value as it is, and remove all the numbers present after the tenth's place.
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If EG = 19 and FG = 12, then EF
Answer:
EF = 7
Step-by-step explanation:
Take EG - FG = EF
19 - 12 = 7
So, the answer is EF = 7
What are the properties of a linear function?
The graph of a linear function is a straight line. One independent variable and one dependent variable make up a linear function.
A linear function is what?Equations (functions or graphs) that create a straight line when graphically depicted are known as linear functions.
Typically, linear functions take the following form: y=mx+b or f(x)=a+bx.
X and Y are the two variables of a linear function.
Independent variable: x (Hori. axis)
dependent variable for y (Vert. axis)
How are linear functions calculated?Replace the problem's value with the value of f (x).
Distinguish the variable. In this instance, you transfer the constant term over by adding 1 to both sides to isolate the variable term.
Keep isolating the variable.
X serves as the independent variable while
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les is sending 8 identical
Answer: Zero point eighty four lbs
Step-by-step explanation:
You volunteer to help drive people home from an event. There are 18 people who need rides, but you can only fit 7 of them in your vehicle. How many different groups of 7 people can you drive? 5,040 31,824 22,913,280 160,392,960.
The number of different groups of 7 people who can drive will be 31,824.
A permutation is an act of arranging items or elements in the correct order. Combinations are a way of selecting items or pieces from a group of objects or sets when the order of the components is immaterial.
You volunteer to help drive people home from an event. There are 18 people who need rides, but you can only fit 7 of them in your vehicle.
Then the number of different groups of 7 people can you drive will be
Different ways = ¹⁸C₇
Different ways = 18! / [(18 - 7)! x 7!]
Different ways = 18 x 17 x 16 x 15 x 14 x 13 x 12 x 11! / (11! x 7 x 6 x 5 x 4 x 3 x 2 x 1)
Different ways = 31824
The number of different groups of 7 people who can drive will be 31,824.
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Then the number of different groups of 7 people can you drive will be
Different ways = ¹⁸C₇
Different ways = 18! / [(18 - 7)! x 7!]
Different ways = 18 x 17 x 16 x 15 x 14 x 13 x 12 x 11! / (11! x 7 x 6 x 5 x 4 x 3 x 2 x 1)
Different ways = 31824
The number of different groups of 7 people who can drive will be 31,824.
CollegeBoard AP Classroom Unit 7 Progress Check: MCQ DaVon Wood 9 12 16 18 Question 2 The rate of change of the volume V with respect to time t of water leaking from a tank is proportional to the cube of the volume. Which of the following is a differential equation that could describe this relationship? dy =-1.4+3 B dV de = -0.2V3 C dV =0.75+3 D AP = 0.15V3
The differential equation that could describe this relationship is → d²V/dt² - (3KV²)dV/dt = 0.
What is the meaning of differential equations?In Mathematics, a differential equation is an equation with one or more derivatives of a function. The derivative of the function is given by dy/dx. In other words, it is defined as the equation that contains derivatives of one or more dependent variables with respect to one or more independent variables.Given is that the rate of change of the volume {V} with respect to time {t} of water leaking from a tank is proportional to the cube of the volume.
We can write the proportional relationship as -
{dV/dt} [tex]$\alpha[/tex] {V}³
Replacing the proportional relationship as -
dV/dt = KV³ {K is constant}
d²V/dt² = K x d/dt (V³)
d²V/dt² = K x 3V² (dV/dt)
d²V/dt² = 3KV²(dV/dt)
d²V/dt² - (3KV²)dV/dt = 0
Therefore, the differential equation that could describe this relationship is → d²V/dt² - (3KV²)dV/dt = 0.
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-x-y=1
y=-x+4
It says to ‘solve each system of equations using substitution
To solve a system of equations using substitution, you can start by solving one of the equations for one of the variables, such as x or y. For example, in this case, we can solve the first equation for x by subtracting y from both sides, like this:
[tex]-x - y = 1[/tex]
[tex]-x = 1 - y[/tex]
Now that we have an expression for x in terms of y, we can substitute that expression into the second equation to solve for y. When we do that, we get:
[tex]y = -(1 - y) + 4[/tex]
[tex]y = -1 + y + 4[/tex]
Now we can rearrange the terms on the right-hand side to make it easier to solve for y:
[tex]y = y + 4 - 1[/tex]
And when we combine the y terms on the left-hand side, we get:
[tex]2y = 3[/tex]
Finally, we can solve for y by dividing both sides by 2, like this:
[tex]y = 3 / 2[/tex]
Once we know the value of y, we can substitute it back into any of the original equations to solve for the other variable, x. In this case, if we substitute the value of y into the first equation, we get:
[tex]-x - y = 1[/tex]
[tex]-x - (3 / 2) = 1[/tex]
We can solve for x by rearranging the terms on the left-hand side and then dividing both sides by -1, like this:
[tex]-x = -1 + (3 / 2)[/tex]
[tex]x = (1 - 3) / 2[/tex]
Therefore, the solution to the system of equations is x = -1 and y = 3/2.
It's important to check your solution by substituting the values of x and y into the original equations to make sure they work. For example, if we substitute x = -1 and y = 3/2 into the first equation, we get:
[tex](-1) - (3 / 2) = 1[/tex]
And if we substitute the same values into the second equation, we get:
[tex](3 / 2) = (-1) + 4[/tex]
Both of these equations are true, which means our solution is correct.
Haruki took a total of 12 quizzes over the courses or 2 weeks. After a school vacation, he took 18 quizzes over the span of 3 weeks. How many quizzes does Haruki take per week?
Answer:6 quizzes over 1 week
Step-by-step explanation: because if u add 6 + 6+ 6 that 18 so ya
Does transform mean change?
Transformations. Transform is the verb form of change. Therefore, to modify a geometric shape would entail to make certain changes to that shape.
What is the meaning to transform?Transforming something into another thing is referred to by the verbs transform, metamorphosis, transmute, convert, and transfigure. Transform suggests a significant shift in form, nature, or function. To completely and instantly modify something or someone so that they are considerably better or more beautiful is to transform them. When you move into a new home, quit your job, or become a parent, you are experiencing "change."
"Transition" refers to the process that takes place before to, during, and following the change event. We experience transition on a bodily, emotional, and psychological level, and we change as a result. Mathematicians define a transformation as a geometric shape or formula alteration that transfers the shape or formula from its pre-image, or original position, to its image, or after-transformation position.
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Values for relation g are given in the table. Which ordered pair would be found in the inverse of g?.
The ordered pair found in inverse of g is ( 1 , 4 ) .
Given :
Relation :
A function is a relation which describes that there should be only one output for each input (or) we can say that a special kind of relation (a set of ordered pairs), which follows a rule .
Values for relation g are given in the table:
X Y = g( X )
5 -3
4 1
3 -2
2 0
then the table for g inverse will be:
X Y = g^-1 ( x )
-3 5
1 4
-2 3
0 2
Hence, the ordered pair found in inverse of g is ( 1 , 4 )
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Full question :
Values for relation g are given in the table. Which ordered pair would be found in the inverse of g?.
X Y = g( X )
5 -3
4 1
3 -2
2 0
In what circumstances would an employee not qualify for SSP?
If the employee received maximum SSP in 28 weeks, then he or she is not qualified.
Here we have to identify the reason for the rejection of SSP for the employee.
In order to find the reason, we must know that is meant by SSP.
The term SSP refers a tool used to coordinate the supply and distribution of ad inventory to and from advertisers
Based on the definition, we have identified that if the employees does not qualify for SSP if they have received the maximum amount of SSP in last 28 weeks are getting Statutory Maternity Pay or Maternity Allowance then there are special rules for pregnant women and new mothers who do not get these payments.
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Laura is 4 times as older as her daughter. In 16 years she will be only twice as old as her daughter. what is laura's percentage age?
Answer:
8 years old and Laura is 32
Step-by-step explanation:t
Let the daughter be equal to "x".
Laura would be "4x".
In 16 years Laura will be twice as old can be expressed as this:
4x+16=2(x+16)
Solve:
4x+16=2x+32
2x=16
x=8
Therefore at present time, the daughter is 8 years old and Laura is 32.
What is the standard deviation of 2 4 6 and 8?
The calculated value of standard deviation for the given data set is 2.236.
What is standard deviation?Standard deviation is the measure of dispersion of the observed values relative to the mean value. It indicates how far each value is apart from mean value.
How to calculate the standard deviation of the given data set?we have data list 2 4 6 8
the list is denoted by X and X² is the square of the data set
X X²
2 4
4 16
6 36
8 64
we add all the data, and the result is ∑X = 20
similarly, we add all the squared value, and the result is ∑X² = 120
Standard deviation is calculated by using the formula below
SD = √[∑X²/N - (∑X/N)²]
here, N denotes the amount of data set
hence, N= 4
SD = √[120/4 - (20/4)²] = 2.236
hence, standard deviation is 2.236
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what is a if a/5 minus 8 equals 4?
Answer:
a = 60
Step-by-step explanation:
a/5 - 8 = 4
a/5 = 12
a = 60
Answer:
a = 60
Step-by-step explanation:
a/5 - 8 = 4
a/5 = 4 + 8
a/5 = 12
a = 5*12
a = 60
Check:
60/5 - 8 = 4
12 - 8 = 4
Sean can walk 2 1/4 miles in 2/3 hour.
At this rate, how far can he walk in 1 hour?
Answer:
3.375 or 3 3/8
Step-by-step explanation:
divide 2 1/4 to get 1 1/8 or 1.125 then multiply by 3 to get 3.375 or 3 3/8
suppose an actual census showed that 18.4% of the households in california have incomes in excess of $50,000. the probability that the sample proportion will be 0.22 or greater for a random sample of 750 households is:
the probability is 0.00539 for the household whose income is excess of $50000.
what is probability?the ratio of favorable outcome to total possible outcome.
What is proportion?the ratio of the size of random sample to the actual size.
Given, sample proportion p∧ ≥0.22
size of random sample, p= 750
now, size of household, n = p/p∧ =750/0.22= 3409
number of households shown in census= 18.4%
now the probability = number of favorable outcome/ total possible outcome.
probability of gaining income excess of $50000 is 18.4/3409 = 0.00539
hence, 0.00539 is the proportion whose income is excess .
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How do you know if it's a function or Nonfunction?
A function is a relationship between a set of possible inputs and outputs, where each input is associated with exactly one output.
A non-function is a relation between a set of inputs and a set of possible outputs where there is at least one input with more than one output.
The vertical line test can be used to ascertain whether a relation is a function. If you can draw a vertical line through the graph of the relationship and it intersects the graph at more than one point, then the relation is a non-function. If the vertical line intersects the graph at only one point, then the relation is a function.
Another way to determine if a relation is a function is to look at the equation defining the relation. If the equation does not contain any x's in the denominator, then the relation is a function. If the equation contains x's in the denominator, then the relation is a non-function.
For example, consider the relation defined by the equation y = x^2. This relation is a function because there are no x's in the denominator.
On the other hand, consider the relation defined by the equation y = 1/x. This relation is a non-function because the equation contains an x in the denominator.
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6) f(x)=x²-2x & Domain= (-5, -1, 0, 5, 7)
What is the Range of this function?
7) f(x) = -3x+12) & Domain= (-9, -4, 4, 8, 11)
What is the Range of this function?
8) f(x)=x²-(x/2) & Domain = {4, 8, 12, 30)
What is the Range of this function?
9) f(x)= |x-2x & Domain= (-5, -4,-3, 3, 5)
What is the Range of this function?
10) f(x) = (x²/2) + 30 & Domain = {-4, -2, 6, 8)
What is the Range of this function?
The required sets of range of the corresponding functions are illustrated in the below solution part.
What is the range of a function?The range of a function is the set of all possible output values of the function.
To find the range of a function, we need to evaluate the function at every point in its domain and find the set of all possible output values.
For example, we are given the function f(x) = x² - 2x and the domain (-5, -1, 0, 5, 7). To find the range of this function, we need to evaluate it at every point in its domain, which gives us the following values:
f(-5) = (-5)² - 2 × (-5) = 25 + 10 = 35
f(-1) = (-1)² - 2 × (-1) = 1 + 2 = 3
f(0) = (0)² - 2 × (0) = 0
f(5) = (5)² - 2 × (5) = 25 - 10 = 15
f(7) = (7)² - 2 × (7) = 49 - 14 = 35
The range of the function is therefore the set of all possible output values, which are 3, 0, 15, and 35. Therefore, the range of this function is {3, 0, 15, 35}.
We can use the same method to find the range of the other functions in the questions. The ranges of the other functions are:
6) f(x)=x²-2x & Domain= (-5, -1, 0, 5, 7)
Range: {-1, 3, 0, 15, 35}
7) f(x) = -3x+12) & Domain= (-9, -4, 4, 8, 11)
Range: {0, 15, 36, 39, 48}
8) f(x)=x²-(x/2) & Domain = {4, 8, 12, 30)
Range: {2, 30, 102, 942}
9) f(x)= |x-2x & Domain= (-5, -4,-3, 3, 5)
Range: {-4, -3, 0, 3, 4}
10) f(x) = (x²/2) + 30 & Domain = {-4, -2, 6, 8)
Range: {26, 28, 54, 60}
Thus, the required sets of range of the corresponding functions are illustrated in the above solution part.
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What are the 3 arguments for the range function?
The Python range() method needs three arguments to work: start value, stop value, and step value. after increasing the values by the step value's stated amount.
what are range ?For a specific data collection, the statistical range is the range of values between the highest and lowest values. The difference between the highest and lowest observation can also be used to illustrate the range. Subtracting the highest number from the lowest yields the sample interval. The sample range is a crucial indicator of variability for variables that are continuous.
here ,
The series of integers returned starts with this integer, startNumber (optional).
stopNumber: This number is the last in the series of integers returned by range().
the stepValue (optional): An integer value indicating how much each successive integer differs from the previous one.
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If a€R then multiplicative inverse of a is ?
Answer:
[tex]\frac{1}{a}[/tex]
Step-by-step explanation:
the product of a number and its multiplicative inverse = 1 , then
a × [tex]\frac{1}{a}[/tex] = 1
multiplicative inverse of a is then [tex]\frac{1}{a}[/tex]
An item is regularly priced at $85. It is on sale for 45% off the regular price.
To find the sale price of the item, we need to multiply the regular price by the discount percentage, then subtract the result from the regular price. In this case, the discount is 45% * $85 = $<<45*.01*85=38.25>>38.25. So the sale price of the item is $85 - $38.25 = $<<85-38.25=46.75>>46.75. Answer: \boxed{46.75}.
Answer:
$46.75
Step-by-step explanation:
Original price: $85
Markdown: 45%
Price: 0.55(85)=$46.75
Sale Price: $46.75
a report tells us that in 2009, there were 870 gray wolves in idaho, but that the population declined by 19% that year. for purposes of this problem, we assume that this 19% annual rate of decrease continues. (a) find an exponential model that gives the wolf population w as a function of the time t in years since 2009. w
The proposed Exponential decay model for wolf population, w is given by w(t) =w(1-r)∧t, where w is the function of time, t
w(t) =870(1-0.19)∧t
What is exponential decay model?The model that estimates the number of populations decreases at a particular rate with the passage of time.
How will be our model for the question?In the above question, rate of decay denoted by r = 19%
population size, w= 870 during the year 2009.
the population size w is the function of time, t
now, exponential decay model will be w(t) = w (1-r)∧t
Now using the given data, w(t) = 870(1-0.19)∧t
hence, exponential decay model is w(t) = 870(1-0.19)∧t
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A recording error is an error of observation.
Group of answer choices
True
False
Answer:
true
Step-by-step explanation:
click'thanks'on the question page
and follow
3x+2=5x-6 i need the answer for x
Answer:
x=4
Step-by-step explanation:
3x+2=5x-6
3x+2-2=5x-6-2
3x=5x-8
3x-5x=5x-8-5x
-2x=-8
divide by -8 by -2
x= 4