Answer:
5x² + 9x - 10
Step-by-step explanation:
To completely simplify this equation, add all like terms.
3x² - 5 + 1 + 2x² + 9x - 6
= 5x² + 9x - 10
hope this helps :)
Plz help me with this ASAP!!!
Answer:
m∠K= 40
HI= 3
Step-by-step explanation:
For the first triangle, this is an isosceles triangle. So, that means that the bottom angles are equal to each other. And remember that a triangle sums up to 180 degrees. So, the equation would be: 70+70+m∠K= 180.
Step 1- Add to simplify.
(70+70)+m∠K= 180
140+m∠K= 180
Step 2- Subtract 140 to both sides.
140+m∠K= 180
-140 -140
m∠K= 40
For the second triangle, this is an equilateral triangle. This means that all sides are the same and all angles are the same. As you can see, the signs(loops) on the angle measurements are the same, so the sides are the same as well.
That means line HI is 3.
Hope this helps! :)
find and sketch the domain of the function. f(x,y)= sqrt (y) + sqrt [25-(x^2)-(y^2)]
The domain of the function is a semicircle with a radius of 5 and centered at the origin, where y is non-negative.
The domain of a function is the set of all possible input values for which the function is defined. In this case, the function is defined as:
\(f(x,y) = \sqrt{y} + \sqrt{[25 - x^2 - y^2} ]\)
To find the domain of this function, we need to determine the values of x and y that would result in the function producing a real-valued output.
For the square root of y to be real, y must be non-negative. That is, y ≥ 0.
For the square root of [\(25 - x^2 - y^2\)] to be real, we must have:
\(25 - x^2 - y^2 \geq 0\\x^2 + y^2 \leq 25\)
This is the equation of a circle with radius 5 centered at the origin. Therefore, the domain of the function is the set of all points (x, y) that lie inside or on this circle and have y ≥ 0.
In interval notation, we can write:
Domain: {(x, y) |\(x^2 + y^2 \leq 25, y \geq 0\)}
To sketch the domain, we can plot the circle with radius 5 centered at the origin and shade the region above the x-axis. This represents all the valid input values for the function. The boundary of the domain is the circle, and the domain includes all points inside the circle and on the circle itself, but not outside the circle.
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I need help quick!
Q: The measure of
Answer:
x=34
Step-by-step explanation:
132-64=
68/2=
34
PLEASE MAKE ME BRAINLIEST
(c) Provide the IUPAC formula of the following complexes. (i) Pentaamminethiocyanatochromium(III) tetrachlorozincate(II) (ii) Potassium pentachloro(phenyl)antimonate(V) (iii) mer-triamminetrichlorocobalt(III)
The IUPAC formulas of the given complexes are as follows:
(i) Pentaamminethiocyanatochromium(III) tetrachlorozincate(II)
(ii) Potassium pentachloro(phenyl)antimonate(V)
(iii) mer-triamminetrichlorocobalt(III)
(i) Pentaamminethiocyanatochromium(III) tetrachlorozincate(II): In this complex, the central metal ion is chromium in the +3 oxidation state. It is coordinated to five ammonia ligands (NH₃) and one thiocyanate ligand (SCN). The complex also contains a tetrachlorozincate(II) ion, which consists of a zinc ion (Zn²⁺) coordinated to four chloride ions (Cl⁻). Therefore, the IUPAC formula for this complex is pentaamminethiocyanatochromium(III) tetrachlorozincate(II).
(ii) Potassium pentachloro(phenyl)antimonate(V): In this complex, the central metal ion is antimony in the +5 oxidation state. It is coordinated to five chloride ligands (Cl⁻) and one phenyl ligand (C₆H₅). The complex is further associated with a potassium ion (K⁺). Hence, the IUPAC formula for this complex is potassium pentachloro(phenyl)antimonate(V).
(iii) mer-triamminetrichlorocobalt(III): In this complex, the central metal ion is cobalt in the +3 oxidation state. It is coordinated to three ammonia ligands (NH₃) and three chloride ligands (Cl⁻). The arrangement of these ligands in a meridional geometry gives the complex its name. Therefore, the IUPAC formula for this complex is mer-triamminetrichlorocobalt(III).
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the products of 0.42 with 0.2 can be written in fraction?
Yes or no and whats the right fraction i keep get it wrong
Answer:
yes ... 42/100 × 2/10= 21/250
solve the following system of equations using the substitution method. –6x 2y = 8 y = 3x 4 question 9 options: a) no solution b) (0, 4) c) infinitely many solutions d) (8, 8)
The correct answer is option c) infinitely many solutions..
To solve the system of equations using the substitution method, we'll substitute the value of y from the second equation into the first equation and solve for x.
Given:
-6x + 2y = 8 ---(1)
y = 3x + 4 ---(2)
Substitute equation (2) into equation (1):
-6x + 2(3x + 4) = 8
Simplify:
-6x + 6x + 8 = 8
8 = 8
We obtained a true statement (8 = 8), which means the two equations are equivalent. This solution shows that the system has infinitely many solutions.
Therefore, the correct answer is option c) infinitely many solutions..
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State which metric unit you would probably use to measure item.
Mass of a beach ball
The basic unit of mass of the ball in the metric system is the gram.
What is mass?The base units of length (distance), capacity (volume), and weight (mass) in the metric system are the meter, liter, and gram, respectively. We utilize units that are derived from metric units to measure smaller or greater quantities.
Mass is a physical body's total amount of matter. Inertia, or the body's resistance to acceleration when a net force is applied, is also measured by this term. The strength of an object's gravitational pull to other bodies is also influenced by its mass.
Therefore, the basic unit of mass of the ball in the metric system is the gram.
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Which plane in the rectangular prism is parallel to plane ABC?
plane ABH
plane EFG
plane CDF
plane BCE
The plane EFG in the rectangular prism is parallel to plane ABC.
In this question, we have been given the rectangular prism ABCDEFGH
We need to find the plane which is parallel to plane ABC.
We can observe that in given rectangular prism,
plane ABH is parallel to the plane CDF
plane BCE is parallel to the plane AGF
plane EFG is parallel to plane ABC.
Therefore, the plane EFG in the rectangular prism is parallel to plane ABC.
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The oblique circular cone has an altitude (height) and a diameter of base that are each of length 6 cm. What is the volume of the oblique cone?
72pi in³
54pi in³
216pi in³
18pi in³
Question 1 ?
Question 2 ?
Question 3 ?
Question 4 ?
Question 5 ?
Answer:
1. 90 degrees
2. 23 degrees
3. 67 degrees
4. 5 units
5. 12 units
90°
23°
67°
5 units
12 units
If y = 4 find slope, X-intercept and y-intercept.
Answer:
An equation in the form y = mx + b is in the 'slope y-intercept' form where m is the slope and b is the y-intercept. We can rewrite our equation, y = 4, in slope y-intercept form as follows: y = 0x + 4. Here, it is clear that the slope, or m, is zero. Therefore, the slope of the horizontal line y = 4 is zero
bivariate regression can not demonstrate: question 19 options: a) when the two variables are linear. b) when the two variables are strongly inversely related. c) when the two variables are strongly positively related. d) when the two variables are causally related.
Bivariate regression can not demonstrate when the two variables are causally related.
The term variables in math means an alphabet or term that represents an unknown number or unknown value or unknown quantity.
Here we have to find the term that must not demonstrate the bivariate in math.
In order to find the resulting term, we must know the definition of bivariate regression.
The term bivariate regression in statistics is defined as the simple linear regression model which is used to predict one variable referred to as the outcome, criterion, or dependent variable from one other variable referred to as the predictor or independent variable.
Based on these definition we have identified that if the two variables are related then the regression process is not possible.
Therefore, option (d) is correct.
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There are 10 workers in a factory making widgets. They work 8-hour days and must complete their orders by the end of the day. The foreman walks in on Monday and tells the workers that they have an order for 100 widgets, which is promptly finished before lunchtime. On Tuesday, the foreman gives them an order for 200 widgets and they tinish some time after lunch. On Wednesday, the workers get an order for 275 widgets. They work harder and finish right at the end of the day. Then on Thursday, there is an order for 325 widgets and again, they get the job
done on time.
How do you think the workers will fair if on Friday, they get an order for 350 widgets? 400? or 450?
Based on the workers performance of consistently meeting orders for 100, 200, 275, and 325 widgets within the workday, it is likely that they will successfully complete the order for 350 widgets on Friday. However, fulfilling orders for 400 or 450 widgets may present a challenge and require additional resources or extended work hours.
Based on the information, it seems that the workers have been consistently meeting their production targets within the allocated time. They have successfully completed orders for 100, 200, 275, and 325 widgets within the workday.
Based on their previous performance, it is likely that the workers will continue to work diligently and efficiently to meet the order for 350 widgets on Friday.
However, meeting an order for 400 or 450 widgets may pose a challenge as it exceeds the previous order quantities.
The workers may need to work extra hours, increase their pace, or employ additional resources to complete these larger orders within the same time frame. It is important to consider the capacity and capabilities of the workers and the factory to determine if such larger orders can be fulfilled successfully.
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Need Help here Please!
Answer:
Step-by-step explanation:
To solve the given equation \(\sf x - y = 4 \\\), we can perform the following calculations:
a) To find the value of \(\sf 3(x - y) \\\):
\(\sf 3(x - y) = 3 \cdot 4 = 12 \\\)
b) To find the value of \(\sf 6x - 6y \\\):
\(\sf 6x - 6y = 6(x - y) = 6 \cdot 4 = 24 \\\)
c) To find the value of \(\sf y - x \\\):
\(\sf y - x = - (x - y) = -4 \\\)
Therefore:
a) The value of \(\sf 3(x - y) \\\) is 12.
b) The value of \(\sf 6x - 6y \\\) is 24.
c) The value of \(\sf y - x \\\) is -4.
\(\huge{\mathfrak{\colorbox{black}{\textcolor{lime}{I\:hope\:this\:helps\:!\:\:}}}}\)
♥️ \(\large{\underline{\textcolor{red}{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)
A manager of a deli gathers data about the number of sandwiches sold based on the number of customers who visited the deli over several days. The
table shows the data the manager collects, which can be approximated by a linear function.
Customers
104
70
111
74
170
114
199
133
163
109
131
90
Sandwiches
If, on one day, 178 customers visit the deli, about how many sandwiches should the deli manager anticipate selling?
To estimate the number of sandwiches the deli manager should anticipate selling when 178 customers visit the deli, we can analyze the given data and approximate it using a linear function.
By observing the table, we notice that the number of sandwiches sold varies with the number of customers. This indicates a relationship between the two variables.
To estimate the number of sandwiches, we can fit a line to the data points and use the linear function to make predictions. Using a statistical software or a spreadsheet, we can perform linear regression analysis to find the equation of the best-fit line. However, since we are limited to text-based interaction, I will provide a general approach.
Let's assume the number of customers is the independent variable (x) and the number of sandwiches is the dependent variable (y). Using the given data points, we can calculate the equation of the line.
After calculating the linear equation, we can substitute the value of 178 for the number of customers (x) into the equation to estimate the number of sandwiches (y).
Please provide the data points for the number of sandwiches sold corresponding to each number of customers so that I can perform the linear regression analysis and provide a more accurate estimate for you.
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If a scatter plot shows a linear association, which must be true of the data?
A.
There is a line that passes through all of the plotted data points.
B.
There is a line that passes through most of the plotted data points.
C.
There is a line that describes the relationship between the two measured quantities reasonably well.
D.
There is a tendency for relatively high values for one measured quantity to be paired with relatively high values for the other measured quantity.
Answer:
If a scatter plot shows a linear association, then there is a line that describes the relationship between the two measured quantities reasonably well. This means that there is a clear pattern in the data, and that the data points tend to follow a straight line when plotted on a graph. This does not necessarily mean that there is a line that passes through all of the plotted data points or that there is a tendency for relatively high values for one measured quantity to be paired with relatively high values for the other measured quantity.
Step-by-step explanation:
Answer:
A scatter plot shows a linear association.
Step-by-step explanation:
Here is a venn diagram
The information in the venn diagram have the following solution:
a) A ∪ B = {8,14,17,16,9,15}
b) A ∩ B = {14,17}
c) probability that one of the numbers chosen at random is A' = 0.7
What is Venn diagramVenn diagrams are commonly used in mathematics, statistics, and logic to illustrate relationships between sets of data. It consists of circles that overlap to show the similarities and differences between the sets like in the case of students data.
From the venn diagram we have that:
A = {8,14,17}
B = {14,17,16,9,15
A' = {13,10,11,12,16,9,15}
U = {13,10,11,12,8,14,17,16,9,15}
so;
A ∪ B = {8,14,17,16,9,15}
A ∩ B = {14,17}
A' = 7
U = 10
probability that one of the numbers chosen at random is A' = 7/10 or 0.7
Therefore, the information from the venn diagram have the following solutions for:
a) A ∪ B = {8,14,17,16,9,15}
b) A ∩ B = {14,17}
c) probability that one of the numbers chosen at random is A' = 0.7
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12 less than a number is equal to the product of 7 and that number. Convert into an
equation and find the number?
Answer:
EQUATION: X - 12 = 7X. SOLUTION: X = - 2.
Step-by-step explanation:
First, we do not know the number. When the number is unknown, it is a variable. I chose the variable, "X."
12 less than signals that we subtract 12. So that would be X - 12.
A product of 7 AND that number means we multiply 7 by X. That can be notated as 7X.
12 less than X is EQUAL to the product of 7 and X. So X - 12 = 7X.
To find the solution, we want to know the value of X. Move X to one side of the equation.
X - 12 = 7X
-X -X
_________
-12 = 6X
Divide both sides by 6 to get X by itself.
X = - 2.
NEED HELP ASAP WITH THIS QUESTION IM RLLY BAD AT MATH AND DO NOT GIVE ME A LINK CAUSE THOSE ARE FAKE I NEED A REAL ANSWER!!!!!
Answer:
Im here to help ! :)
Step-by-step explanation:
Its 5 kilometers. Already counting the distance between it, you also count the two locations. SO in total, Its 5 kilometers!
Answer:
4 kilometers
Step-by-step explanation:
you have to count the grid spaces in between the point labelled Gabe's house and the point labeled library. each space is 1 kilometer.
a police officer is using a radar device to check motorists' speeds. prior to beginning the speed check, the officer estimates that 40 percent of motorists will be driving more than 5 miles per hour over the speed limit. assuming that the police officer's estimate is correct, what is the probability that among 4 randomly selected motorists, the officer will find at least one motorist driving more than 5 miles per hour over the speed limit (decimal to the nearest ten-thousandth.)
The probability that among 4 randomly selected motorists, the officer will find at least one motorist driving more than 5 miles per hour over the speed limit is 0.8704, rounded to the nearest ten-thousandth.
To solve this problem, we can use the complement rule, which states that the probability of an event happening is equal to 1 minus the probability of the event not happening.
First, let's find the probability that none of the 4 randomly selected motorists will be driving more than 5 miles per hour over the speed limit.
Since the officer estimates that 40% of motorists will be driving more than 5 miles per hour over the speed limit, then the probability of a motorist not driving more than 5 miles per hour over the speed limit is 1 - 0.4 = 0.6.
The probability that none of the 4 motorists will be driving more than 5 miles per hour over the speed limit is therefore:
0.6 x 0.6 x 0.6 x 0.6 = 0.1296
Now we can use the complement rule to find the probability that at least one of the 4 motorists will be driving more than 5 miles per hour over the speed limit:
1 - 0.1296 = 0.8704
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a fence is to be built to enclose a rectangular area of 280 square feet. the fence along three sides is to be made of material that costs 6 dollars per foot, and the material for the fourth side costs 13 dollars per foot. find the dimensions of the enclosure that is most economical to construct.
Fencing of any rectangular region is basically represent perimeter of that rectangular region.
For most economical fencing, length L = 21.05 feet and width W = 13.301 feet.
How to estimate the length and width of the rectangular region?Area of rectangular region is 280 square feet.
And length is L and width is W.
Area of rectangular region = L × W=280 square feet
W=280 / L
Since, The fence along three sides is to be made of material that costs 6 dollars per foot, and the material for the fourth side costs 14 dollars per foot.
Therefore, Total cost, C = 6(2L + W) + 13W = 12 L + 19 W
Total cost, C = 12 L+ 5,320 / L
To find most economical cost, differentiate above function and equate to zero.
C' = 12 - 5,320 / L²
simplifying the above equation, we get
⇒ 12 - 5,320 / L² = 0
⇒ L² = 5,320 / 12
L = 21.05 feet
Therefore, L = 21.05 feet
Substituting value of L in area equation.
We get, W = 13.301 feet.
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Sienna Rose received $4000 cash in graduation presents. She invests it in an account earning 3.60% interest compounded monthly. How long will it take for her money to grow to $7000?
Answer:
About 16 years
Step-by-step explanation:
The formula for compound interest is
\(P(t)=P_{0}(1+r/n)^n^t\), where P0 is the principal, r is the interest rate, n is the number of compounding periods, and t is the time in years.
For this problem, our n = 12 because there are 12 months in a single year and we must convert our percentage to a decimal (3.60/100 = 0.0360): \(7000=4000(1+0.0360/12)^1^2^t\\7000=4000(1.003)^1^2^t\\1.75=1.003^1^2^t\\log(1.75)=log(1.003)^1^2^t\\log(1.75)=12t*log(1.003)\\\frac{log(1.75)}{log(1.003)} =12t\\1/12*\frac{log(1.75)}{log(1.003)}=t\\ 15.56818868=16=t\)
The length of a rectangle is 12ft longer than twice the width. If the perimeter is 108ft, find the length and width of the rectangle.
Answer:
Down below
Step-by-step explanation:
P = 2L + 2W
P = 108
L = 2W+12
108 = 2(2W+12) + 2W
108 = 4W + 24 + 2W
108 = 6W + 24
84 = 6W
14 = W
W = 14
If the width is 14, then the length is twice that plus 12, or 38
38 + 38 + 14 + 14 = 108
A high school guidance counselor wants to look at the proportions of seniors and juniors who drive to school each day, as he believes the proportion of seniors will be significantly higher than the proportion of juniors who drive to school each day. The counselor randomly samples 100 seniors and finds that 93% drive to school each day; he independently randomly samples 100 juniors and finds that 87% drive to school each day. If the counselor is going to use the Z-Test for Proportions of 2 Independent samples, are all of the necessary conditions met? Yes, all of the conditions are met. No, the samples aren't random and could lead to biased results. The group of juniors does not have enough successes to meet the CLT for proportions. The group of seniors does not have enough failures to meet the CLT for proportions.
Based on the information provided, the necessary conditions for using the Z-Test for Proportions of 2 Independent samples are not fully met. The correct statement is: No, the samples aren't random and could lead to biased results.
For the Z-Test for Proportions of 2 Independent samples, the following conditions should be met:
Random Samples: The samples should be randomly selected from the respective populations. In this case, it is mentioned that the counselor randomly samples both seniors and juniors, which satisfies this condition.
Independence: The samples should be independent of each other. Since the samples are independently selected, this condition is met.
Large Sample Sizes: For the Central Limit Theorem (CLT) to hold, the sample sizes should be large enough. While the sample sizes are mentioned (100 seniors and 100 juniors), the proportions mentioned (93% and 87%) suggest that the conditions for the CLT for proportions may not be fully met. Both groups should ideally have a sufficient number of successes and failures for the CLT to apply.
Therefore, the correct answer is that the group of juniors does not have enough successes to meet the CLT for proportions. The group of seniors does not have enough failures to meet the CLT for proportions.
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Given the quantities a=3.7m, b=3.7s, c=80m/s, what is the value of the quantity d=a^3/cb^2?
The value of the quantity d is 0.0462 m^2/s.
Here,
The quantities a=3.7m, b=3.7s, c=80m/s.
We have to find the value of d = a^3/cb^2
What is quantity?
A quantity is an amount, number, or measurement that answers the question 'how much?' Quantities can be expressed in numbers or non-standard units.
Now,
The quantities a=3.7m, b=3.7s, c=80m/s.
The value of d;
\(d = \frac{a^{3} }{cb^{2} }\)
\(d = \frac{3.7*3.7*3.7 }{80 * 3.7^{2} }\)
\(d = \frac{3.7}{80}\)
\(d = 0.0462\)
Hence, The value of the quantity d is 0.0462 m^2/s.
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Find the surface area of the pyramid. The side lengths of the base are equal.
pls help D:
Hi!! :D
Answer:
I got 177.46
Step-by-step explanation:
I just used a surface area calculator!
So sorry if this is wrong!
Have a great day! <3
Anton is constructing an angle congruent to ∠PQR. With his straightedge, he draws and labels AB−→. He places the compass point on point Q and draws an arc that intersects QP−→− and QR−→−. He labels the point where the arc intersects QP−→− as point S and the point where the arc intersects QR−→− as point T. What should Anton do next?
Answer: i just took the test yesterday and got it right
With the same compass opening, place the compass point on point A and draw a long arc through AB−→−.
hopefully this helps. i would have helped you sooner if i seen it before now
Place the compass point on point A and draw a long arc through AB using the same compass opening.
What is arc ?An "arc" is a smooth curve that connects two points. In general, an arc is a section of a circle. It is essentially a portion of a circle's circumference. An arc is a type of curve. An arc can be a portion of another curved shape, such as an ellipse, but it most commonly refers to a circle.
The arc of a circle is defined as a portion or segment of a circle's circumference. A chord of a circle is a straight line formed by connecting the two ends of an arc. A semicircular arc is one that is exactly half the length of a circle.
A chord of a circle is a straight line that can be drawn by connecting the two ends of an arc.
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BRAINLIEST I NEED HELP BRAINLIEST BRAINLIEST BRAINLIEST BRAINLIEST I looked on google and I am not looking for that
Answer:
well 20 years ago industrialization and technological advances had not been a major change in humanity as it is now so due natural processes were followed in food production but now with an advancement in research everyday food production now have to go through the laboratories instead of cultivation of farmland in order to satisfy our ever growing population which has reduced significantly the production and consumption of healthy foods coupled with the introduction of junks which many use to substitute normal food.
Answer:
What is the photo
Step-by-step explanation:
Please help please! No fake answers pls
The property of congruence that is used in the given proof is;
A) Transitive property of congruence
How to Identify the property of Congruence?
We are given that;
∠ABC ≅ ∠DEF and ∠DEF ≅ ∠GHI, then ∠ABC ≅ ∠GHI
Now, looking at the properties of congruence in the options, we can define them as follows;
1) The transitive property of congruence states that “ if two shapes are congruent to the third shape, then all the shapes are congruent to each other.
2) The symmetric property states that if one geometric shape is congruent to another, than the second shape is also congruent to the first.
3) Reflexive property of congruence is when a side is congruent to itself.
In this case, the best option from the definitions will be transitive property of congruence
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Find the value of this expression:
6 - 2 + 4 * 2
12
16
-6
Answer: 12
Step-by-step explanation:
6-2 + 4 x 2 = 6 - 2. + 8
4 + 8 = 12