The answer to the integers numbers (-59) x (-10)+(-30)= 590.
The given expression is (-59) × (-10)+(-30). To simplify this expression, we will start by multiplying -59 by -10. Then we will add -30 to the product. So let's get started with the following steps:
1: (-59) × (-10) = 590The product of two negative integers is always positive. Hence, (-59) × (-10) = 590.
2: (-59) × (-10)+(-30) = 590 + (-30)To add -30 to 590, we can take the help of the number line. We will start from 590 and move 30 units to the left as -30 is negative. This will give us the final answer. 590 + (-30) = 560
The answer to the given expression is 560. We can also solve the expression without using a number line. For that, we can use the rules of addition and subtraction of integers. We know that adding a negative integer is equivalent to subtracting a positive integer. Hence, (-59) × (-10)+(-30) can be written as 560.
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.2. Determine whether the feasible set for each of the following systems of constraints is convex, and if not, indicate points x^1 and x² that violate definition. a) (x1)² + (x2)² > 9
x1 + x2 ,10
x1, x2 > 0
The feasible set for this system of constraints is not convex, and the points (5, 5) and (3, 7) violate the convexity definition.
To determine whether the feasible set for each system of constraints is convex, we need to analyze the constraints individually and examine their intersection.
a) (x1)² + (x2)² > 9
This constraint represents points outside the circle with a radius of √9 = 3. The feasible set includes all points outside this circle.
b) x1 + x2 ≤ 10
This constraint represents points that lie on or below the line x1 + x2 = 10. The feasible set includes all points on or below this line.
c) x1, x2 > 0
This constraint represents points in the positive quadrant, where both x1 and x2 are greater than zero.
Now, let's analyze the intersection of these constraints:
Considering the first two constraints (a and b), we can see that the feasible set consists of all points outside the circle (constraint a) and below or on the line x1 + x2 = 10 (constraint b).
To determine whether the feasible set is convex, we need to check if any two points within the set create a line segment that lies entirely within the set.
If we consider the points (5, 5) and (3, 7), both points satisfy the individual constraints (a) and (b). However, the line segment connecting these two points, which is the line segment between (5, 5) and (3, 7), exits the feasible set since it passes through the circle (constraint a) and above the line x1 + x2 = 10 (constraint b).
Therefore, the feasible set for this system of constraints is not convex, and the points (5, 5) and (3, 7) violate the convexity definition.
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PLZZZ HELPPPP ILL MARK BRAINLIEST TO FIRST AND CORRECT ANSWER THAT HAS WORK AND A THX TO SECOND AND CORRECT ANSWER.
Answer:
I'm pretty sure that the answer is 11 and 12
Step-by-step explanation:
11 and 12 both equal to 180 which makes them supplementary angles
Answer:
I also agree that it is 11 and 12
Step-by-step explanation:
Let g(t)=e ^(2t)U(t−2)+Sin(3t)U(t−π) By using the definition of the Laplace transform we find that L{g(t)} is equal to:
The Laplace transform of g(t) is equal to 1/(s-2)e^(-2s) + 3/(s^2+9)e^(-πs).
The Laplace transform of a function can be found by applying the definition of the Laplace transform. Let's find the Laplace transform of the function g(t) = e^(2t)U(t-2) + sin(3t)U(t-π) step by step.
1. The Laplace transform of e^(at)U(t-c) is given by L{e^(at)U(t-c)} = 1/(s-a)e^(-cs), where s is the complex variable.
2. Applying this formula, we can find the Laplace transform of the first term, e^(2t)U(t-2):
L{e^(2t)U(t-2)} = 1/(s-2)e^(-2s)
3. Similarly, the Laplace transform of the second term, sin(3t)U(t-π), can be found using the formula for the Laplace transform of sin(at)U(t-c):
L{sin(3t)U(t-π)} = 3/(s^2+9)e^(-πs)
4. Finally, we can combine the two transformed terms:
L{g(t)} = L{e^(2t)U(t-2)} + L{sin(3t)U(t-π)}
= 1/(s-2)e^(-2s) + 3/(s^2+9)e^(-πs)
Therefore, the Laplace transform of g(t) is equal to 1/(s-2)e^(-2s) + 3/(s^2+9)e^(-πs).
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Which relation in the below table(s) represents a function?
The relation 2 represents a function.
In order to determine which relation in the below table represents a function, we need to first understand what a function is.A function is a relationship in which each input value corresponds to exactly one output value.
To put it another way, each x-value has one and only one y-value. The most typical method to determine whether a relation is a function is to use the vertical line test.
The vertical line test is a way to determine if a relation is a function graphically. To test if a graph is a function, we draw a vertical line through each x-value on the graph. If a vertical line crosses the graph more than once, it is not a function.
If, on the other hand, the graph passes the vertical line test and no vertical line crosses the graph more than once, it is a function.Now let's look at the table below to determine which relation is a function.
We will first plot the x and y values of each relation on a coordinate system and then apply the vertical line test to each relation.
Relation 1: x | y0 | 10 | 11 | 22 | 23 | 34 | 35 | 4Relation 1 does not represent a function since we can draw a vertical line through x = 3 and the line will cross the graph more than once.
Relation 2: x | y2 | 33 | 34 | 45 | 46 | 57 | 5Relation 2 represents a function since we can draw a vertical line through each x-value on the graph and it will only cross the graph once.
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Pls help, Ill give u brainliest
Answer:
ls help, Ill give u brainliest
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
Edge 2020
solve the question z + 18 = 27.
9???????????????????????????????
Answer:
I'm going to guess that you are trying to find z. If so, Z is 9.
Step-by-step explanation:
Z + 18 = 27
Subtract 18 on both sides
Z + 18 = 27
Z - 18 = - 18
Z = 9
Find the degree of each algebraic expression
\(pq + {p}^{2} q - {p}^{2} {q}^{2} \)
\( {2y}^{2} z + 10yz\)
Step-by-step explanation:
The degree of an algebraic expression is the largest exponent of the variable present. In expressions with multiple variables, the exponents of each variables are added.
First Expression;
pq: Degree = 1 + 1 = 2
p²q: Degree = 2 + 1 = 3
p²q²: Degree = 2 + 2 = 4
The degree of this expression is 4
Second Expression;
2y²z: Degree = 2 + 1 = 3
10yz: Degree = 1 + 1 = 2
The degree of this expression is 3
How many degrees are in a full circle?
Answer: 360
Step-by-step explanation:
done
Find the height of the basketball hoop to the nearest foot. a. 7 ft b. 10 ft c. 12 ft d. 15 f
The height of the basketball hoop to the nearest foot will be 12ft .
There are two ways to continue. The first method is to use trigonometric ratios.
You can use the tangent ratio because you have specified one leg and are trying to solve it with the other leg.
x equals the length of the other leg. .. Plug in known values.
Another way to find out is to monitor the angle. If the two angles are 45 degrees and 90 degrees, you can see that the third angle is 45 degrees. This makes it an isosceles triangle. That is, the other leg is 7 feet long.
2) Determine the height of the tire
Add 7 feet and 5 feet (human height):
7 + 5 = 12 feet
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what is the slope intercept of the line y=2x+4
Answer:
Slope = 2
Y intercept = 4
Step-by-step explanation:
This is of the form y = mx + k
where m is the slope
K = y intercept
Hello! (:
y=2x+4
This equation is written in slope-intercept form:
y=mx+b
m is the slope (2) and b is the y-intercept (4)
Hope it helps!
If you have any question or query, feel free to ask! (:
~An excited gal
\(SparklingFlower\)
simplify to radical form the square root of 40 and then divide by 6
The simplified expression of the radical is √10/3
How to evaluate the expressionFrom the question, we have the following parameters that can be used in our computation:
the square root of 40 and then divide by 6
This statement can be mathematically represented as
√40/6
Simplify the numerator
So, we have the following representation
2√10/6
Divide 2 and 6
√10/3
Hence, the solution is √10/3
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HELP ME PLEASEEE
Desiree is laying stone pavers along the patio and walkway. The walkway is 4 feet wide. The patio measures 8 feet from top to bottom and 11 feet across. How much area does Desiree need to cover?
Answer:
134 square feet
Step-by-step explanation:
You want to know the area of the composite shape shown in the figure.
AreaThe figure can be divided by two horizontal lines into two trapezoids and a parallelogram. (See the first attachment.) The area formulas for these are ...
A = 1/2(b1 +b2)h . . . . . trapezoid with bases b1, b2
A = bh . . . . . . . . . . . parallelogram with base b
ApplicationEach of the horizontal sections in the figure is 4 feet high.
The top trapezoid has an area of ...
A = 1/2(5 +11)(4) = 32 . . . . square feet
The middle parallelogram has an area of ...
A = (11)(4) = 44 . . . . square feet
The bottom trapezoid has an area of ...
A= 1/2(16 +13)(4) = 58 . . . . square feet
The total area is ...
(32 +44 +58) ft² = 134 ft²
Desiree needs to cover 134 square feet.
__
Additional comment
The 5' diagonal measures are not used in the computation. They can help you see that all of the right triangles in the figure are 3-4-5 right triangles. (The hexagonal shape is not a regular hexagon.)
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can u please do step by step with this problem`-5(x-4)
Answer:
-5x+20
Step-by-step explanation:
Distribute the -5: -5(x) and -5(-4)
-5x+20
Since you cannot combine like terms, this is your final answer
Answer:
-5 × 4x = -20x
Step by Step Explanation:
Start with parenthesis
x - 4 = 4x
Multiply
-5 × 4x = -20x
please help meeeeeeeeeeeee
Answer:
x=75
Step-by-step explanation:
The total degrees of a pentagon is 540
120+120+2(75)+75+75
120+120=240
2(75)=150
75+75=150
240+150+150=540
In a right triangle, if a = 8 ft and b = 15 ft, what is c?
Answer:
c = 17 ft
Step-by-step explanation:
c=a2+b2=82+152=17ft
Answer:
17
Step-by-step explanation:
a2+b2=c2
8^2+15^2=c2
64 + 225 = 289
√289 = 17
hope it helps :-)
6. (a) (5pt) Let u = ln(x) and v= ln(y), for x>0 and y>0.. Write In (x' √y") in terms of u and v. (b) (5pt) Find the domain, the x-intercept and asymptotes. Then sketch the graph for f(x)=In(x-7). 7. (10pt) For the function y=7sin (9x + 7), find the amplitude, period and phase shift. Draw the graph of y(x) over a one-period interval and label all maxima, minima and x-intercepts.
6a) In(x' √y") can be written in terms of u and v as In(√(e^v/e^u))
b) For function f(x)=In(x-7), the domain of f(x) is x > 7, the x-intercept is x = 8, a vertical asymptote at x = 7
7) The amplitude is 7, period is 2π/9 and the phase shift is -7/9 for function y=7sin (9x + 7)
(a) To write In(x' √y") in terms of u and v, we can first express x' and √y" in terms of x and y using the definitions of u and v.
Recall that u = ln(x) and v = ln(y).
To express x' in terms of x, we can differentiate u with respect to x:
du/dx = 1/x
Similarly, to express √y" in terms of y, we can differentiate v with respectto y:
dv/dy = 1/y
Now, let's rewrite the expression In(x' √y") using u and v:
In(x' √y") = In(du/dx √(dv/dy))
Since du/dx = 1/x and dv/dy = 1/y, we have:
In(x' √y") = In(1/x √(1/y))
Using the properties of logarithms, we can simplify further:
In(x' √y") = In(√(y/x))
Therefore, In(x' √y") can be written in terms of u and v as In(√(e^v/e^u)).
b) For the function f(x) = In(x - 7):
Domain: The natural logarithm function is defined for positive real numbers, so the domain of f(x) is x > 7.
X-intercept: To find the x-intercept, we set f(x) = 0 and solve for x:
In(x - 7) = 0
x - 7 = 1
x = 8
So the x-intercept is x = 8.
Asymptotes: The function f(x) = In(x - 7) does not have any vertical asymptotes.
However, it has a vertical asymptote at x = 7 because the natural logarithm is not defined for x - 7 ≤ 0.
7. For the function y = 7sin(9x + 7):
Amplitude: The amplitude of a sine function is the absolute value of the coefficient of the sine term.
In this case, the amplitude is |7| = 7.
Period: The period of a sine function is given by the formula T = 2π/b, where b is the coefficient of the variable x inside the sine term.
In this case, the coefficient is 9, so the period is T = 2π/9.
Phase shift: The phase shift of a sine function is given by the formula -c/b, where c is the constant term inside the sine term.
In this case, the constant term is 7, so the phase shift is -7/9.
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8. Kai bought 50 ride tickets for the amusement park. After 2 hours, he had used up 18 tickets.
(a) What is the unit rate, in tickets per hour,
that Kai is using his tickets?
(b) If Kai uses tickets at this rate the entire
time he is at the park, how many does
he still have after 5 hours?
Test Rema English Numerical Abstract Reasoning Numerical Question: 2 2. The investment ratio between two partners, A and B, was 6:7 and the profit sharing ratio at the end of the business term was 2:1. If B invested for 3 months, then A invested for how many months? 12 months 9 months 7 months 11 months
A invested for approximately 5 months.
Hence, the answer is not among the options provided.
We are given the investment ratio between partners A and B, which is 6:7. This means that for every 6 units of investment by A, B invests 7 units.
Next, we are given the profit sharing ratio, which is 2:1. This means that out of the total profit, 2 parts are given to A and 1 part is given to B.
Now, we are told that partner B invested for 3 months. Let's assume that partner A invested for 'x' months.
Since the profit sharing ratio is 2:1, and partner B invested for 3 months, partner A's investment must be spread over a period where the ratio of their investments remains the same.
Using the concept of proportions, we can set up the following equation:
(6/7) / (x/3) = 2/1
Cross-multiplying, we have:
2(6/7) = (x/3) * 1
12/7 = x/3
To solve for x, we can cross-multiply again:
7x = 12 * 3
7x = 36
Dividing both sides by 7, we get:
x = 36/7 ≈ 5.1428
Since we are dealing with months, we round this value to the nearest whole number. Therefore, A invested for approximately 5 months.
Hence, the answer is not among the options provided.
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One side of a rectangle is 2 yd longer than two times another side. The area of the rectangle is 84 yd2. Find the length of the shorter side.
Answer:
6 yds
Step-by-step explanation:
If we label the shorter side as x, the longer side can be represented as 2x + 2. Now, we can write an equation to model the situation. The area of a rectangle is the sides multiplied by each other:
84 = x(2x + 2)
84 = 2x^2 + 2x
Since all terms are divisible by two, we can divide both sides by it:
42 = x^2 + x
We can write the quadratic equation in standard form:
x^2 + x - 42 = 0
Now, we can factor. We are looking for numbers that multiply to -42 and add to 1. These numbers are 7 and -6. Factored the equation would be written as followed:
(x + 7)(x - 6) = 0
Using the zero-product property, we can obtain two equations and solve them:
x + 7 = 0
x = -7
x - 6 = 0
x = 6
Since the side of a rectangle can't be negative, the answer must be 6 yds.
HEELLPPPP!!!! quickly im being timed.
I want answer for third question
3rd**
Find the surface area of rectangular prism
(2n-9)-5(2.4n+4) does anyone know the answer to this?
Answer: -0.4n-13
hope it helped don't forget to drop a heart
Step-by-step explanation:
Rita is reviewing her electricity bills for the past year. The monthly bills were:
$92, $98, $90, $99, $96, $91, $89, $106, $95, $102, $96, $99.
Select the correct answer.
Which measure will help Rita calculate how much the electricity bills vary, on average, from the mean billed amount?
A. interquartile range
B. range
C. median
D. mean absolute deviation
Answer:
D
Step-by-step explanation:
The mean absolute deviation is the average amount of all the data points from the mean, which is exactly what she is wanting to calculate.
The head gardener at a botanical garden wants to plant rosebushes in parallel rows on either side of an existing footpath. How can the gardener ensure that that the rows are parallel
If the rows are perpendicular to the footpath, then the gardener ensure that that the rows are parallel.
Parallel:
Any two lines are said to be parallel if the Corresponding angles so formed are equal.
Given,
The head gardener at a botanical garden wants to plant rosebushes in parallel rows on either side of an existing footpath.
Here we need to find how can the gardener ensure that that the rows are parallel.
To know the answer, we have to consider the following,
Let us consider,
If the gardener digs every row at a 90° angle to the footpath, then each row will be exactly perpendicular to the foot path of the garden.
Which means,
If the rows are perpendicular to the footpath, then the rows are parallel.
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_(blank)_ = Cost of Attendance (COA) − Expected Family
Contribution (EFC)
The term that should be placed in the blank in the given question is the "Financial need."
Financial Need is the difference between the Cost of Attendance (COA) and the Expected Family Contribution (EFC). In simpler terms, it is the total amount of money that is required to fund the student's college education, minus the family's contribution, as determined by the FAFSA (Free Application for Federal Student Aid).COA (Cost of Attendance): COA is a detailed evaluation of all the costs involved in pursuing higher education, including tuition fees, housing and meal costs, textbooks, lab equipment, and transportation costs. However, students must note that the COA may vary from one college to another and depend on the program of study.EFC (Expected Family Contribution): The Expected Family Contribution (EFC) is the total amount of money that the student and their family are expected to contribute to their higher education costs, as per the Free Application for Federal Student Aid (FAFSA). The EFC takes into account factors such as family income, assets, benefits, and other financial data to determine the student's eligibility for financial aid.To know more about Financial need, visit:
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If P(A) = .46 and P(B) = .17 and P(A U B) = .63, then A and B are:
Select one:
a. mutually exclusive
b. collectively exhaustive
c. statistically independent
d. mutually exclusive and collectively exhaustive
e. none of the above/can’t be determined with info given
The answer is e. none of the above/can’t be determined with info given.
Based on the information given, we have:
P(A) = 0.46
P(B) = 0.17
P(A U B) = 0.63
Note that P(A U B) represents the probability of either event A or event B occurring, or both.
If events A and B are mutually exclusive, it means they cannot occur at the same time. In other words, if event A occurs, event B cannot occur, and vice versa. In this case, the probability of both events occurring would be zero.
On the other hand, if events A and B are collectively exhaustive, it means that together they account for all possible outcomes. In other words, either event A or event B (or both) must occur, and there are no other possibilities.
Using these definitions, we can see that events A and B are neither mutually exclusive nor collectively exhaustive. This is because the probability of both events occurring (i.e., the intersection of A and B) is not zero, which means they are not mutually exclusive. Additionally, the probability of either A or B occurring (i.e., the union of A and B) is not equal to one, which means they are not collectively exhaustive.
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Twenty-five bakery customers were surveyed to determine if they like cake or pie. The results are shown in the Venn diagram.
Circle C and P overlap. Circle C contains 10, circle P contains 8, and the intersection contains 4. Number 3 is outside of the circles.
Given that a randomly chosen customer likes cake, what is the probability that the customer also likes pie?
Two-sevenths
Two-fifths
Answer:
Two-sevenths
Step-by-step explanation:
It's the smallest amount just like the middle number
Answer:
2/7
Step-by-step explanation:
A competency test has scores with a mean of 82 and a standard deviation of 2. A histogram of the data shows that the distribution is normal. Between what two values do about 99.7 of the values lie?
Answer:
Between 76 and 88
HELPP this is the last question I need to answer asap
Answer:
x = 5, -5, 3, -3
Step-by-step explanation:
First, substitute u = x^2 into the equation, and we have
u^2 - 34u + 225 = 0
u = x^2
Factor u^2 −34u +225 using the AC method, and we get
( u - 25) ( u - 9) = 0
We know If any individual factor on the left side of the equation is equal to
0, the entire expression will be equal to 0, so
u - 25 = 0
u - 9 = 0
Next, we set u - 25 equal to 0 and solve for u, and we get
u = 25
Then set u - 9 equal to 0 and solve for u, and we get
u = 9
The final solution is all the values that make (u−25)(u−9) = 0 true.
u =25,9
Substitute the real value of u=x^2 back into the solved equation.
x^2 = 25
(x^2)^1 = 9
x^2 = 25
x = 5, -5
Now we solve the second equation
(x^2)^1 = 9
x = 3, -3
So, the answers are: 5, -5, 3, -3