Answers
The remainder that is found when dividing 2x^2+7x-4 by x-3 is 35
Calculating the remainder that is found when dividing 2x^2+7x-4 by x-3?From the question, we have the following parameters that can be used in our computation:
Dividing 2x^2+7x-4 by x-3
This means that
Dividend = 2x^2 + 7x - 4
Divisor = x - 3
Set the divisor to 0
So, we have
x - 3 = 0
Evaluate
x = 3
Substitute 3 for x in the dividend equation, so, we have the following representation
Remainder = 2(3)^2 + 7(3) - 4
Evaluate
Remainder = 35
Hence, teh remainder is 35
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Related Questions
Hi, can you help me to evaluate (if possible) thesix trigonometric functions of the real number.Please.
Answers
Okay, here we have this:
Considering the provided angle, we are going to evaluate the trigonometric functions, so we obtain the following:
Sine:
\(\begin{gathered} \sin (-\frac{2\pi}{3}) \\ =-\sin (\frac{2\pi}{3}) \\ =-\cos \mleft(\frac{\pi}{2}-\frac{2\pi}{3}\mright) \\ =-\cos \mleft(-\frac{\pi}{6}\mright) \\ =-\cos \mleft(\frac{\pi}{6}\mright) \\ =-\frac{\sqrt{3}}{2} \end{gathered}\)Cos:
\(\begin{gathered} cos\mleft(-\frac{2\pi}{3}\mright) \\ =\cos \mleft(\frac{2\pi}{3}\mright) \\ =\sin \mleft(\frac{\pi}{2}-\frac{2\pi}{3}\mright) \\ =\sin \mleft(-\frac{\pi}{6}\mright) \\ =-\sin \mleft(\frac{\pi}{6}\mright) \\ =-\frac{1}{2} \end{gathered}\)Tan:
\(\begin{gathered} tan\mleft(-\frac{2\pi\:}{3}\mright) \\ =\frac{\sin (-\frac{2\pi\: }{3})}{\cos (-\frac{2\pi\: }{3})} \\ =\frac{-\frac{\sqrt[]{3}}{2}}{-\frac{1}{2}} \\ =\sqrt[]{3} \end{gathered}\)Csc:
\(\begin{gathered} \csc \mleft(-\frac{2\pi}{3}\mright) \\ =\frac{1}{\sin\left(-\frac{2\pi}{3}\right)} \\ =-\frac{1}{\frac{\sqrt{3}}{2}} \\ =-\frac{2\sqrt{3}}{3} \end{gathered}\)Sec:
\(\begin{gathered} \sec \mleft(-\frac{2\pi}{3}\mright) \\ =\frac{1}{\cos\left(-\frac{2\pi}{3}\right)} \\ =\frac{1}{-\frac{1}{2}} \\ =-2 \end{gathered}\)Cot:
\(\begin{gathered} \cot \mleft(-\frac{2\pi}{3}\mright) \\ =\frac{1}{\tan (-\frac{2\pi}{3})} \\ =\frac{1}{\sqrt[]{3}} \\ =\frac{\sqrt{3}}{3} \end{gathered}\)Provide two examples of real world combinations, one in which repetition isn't allowed and one in which repetition is.
Answers
See below for the examples of combinations
What are combinations?Combinations are instances where items and objects are chosen or selected from a collection or group of items and objects such that the order in which the items and objects are selected does not matter
Real world combinationsThere are several applications of combinations in our daily activities.
Some of them include:
Selecting students to represent the school in a debate competitionSelecting a food item from a food menuAn example of combination with repetition is the selection of a food item from a food menu
While an example of combination without repetition is the selection of students to represent the school in a debate competition
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Solve for x. 3x/6+2=8 a. x=3 b. x=12 c. x=24
Answers
Answer:
x = 12
Step-by-step explanation:
\( \frac{3x}{6} + 2 = 8 \\ \frac{x}{2} = 8 - 2 \\ \frac{x}{2} = 6 \\ \frac{x}{2} \times 2 = 6 \times 2 \\ x = 12\)
what is the slope of the line????
Answers
I believe this right!
Raoul has 72 wristbands and 96 movie passes to put in gift bags. The greatest common factor for the number of wristbands and the number of movie passes is qual to the number of gift bags. Raoul needs to make. Then find how many wristbands and how many movie passes raoul can put in each gift bag if he evenly distributes the items.
Please help I am stuck I am doing work nonstop on all weekends if I don’t get this right and done please help and will give brainlesst for the correct answer
Answers
Answer:
Step-by-step explanation:
I do know give me brainliest first
Answer:
24 gift bags
Step-by-step explanation:
Well first the question says to find the GCF and you find that by finding prime factors in each number. Then you would want to subtract 96-72 and get the answer of 24 so you would be able to make 24 gift bags. Hope this helps!!
May I have heart, 5 star, and brainliest please?
On this problem, the answer has been worked out, but you must fill in the blanks in the solution.A random sample of 450 students from a wide geographical area indicated that 55 attended private schools. Estimate the true proportion of students attending private schools with 95% confidence. Give your answer to three places after the decimal point.Solution: We need to find the 95% confidence interval for the proportion (p).
Answers
State the parameters given in the question
\(n=450\)The sample size n is 450
Hence, the first box n=450
\(X=55\)The number of students X that attended private school is 55
Hence, the second box X=55
Therefore, sample proportion is
\(\begin{gathered} ^{\prime}p=\frac{X}{n}=\frac{55}{450} \\ ^{\prime}p=0.122 \end{gathered}\)Hence, the third box is 'p=0.122
\(\begin{gathered} ^{\prime}q=1-^{\prime}p \\ ^{\prime}q=1-0.122 \\ ^{\prime}q=0.878 \end{gathered}\)Hence, the forth box is 'q= 0.878
From the question, the confidence interval is 95% can be represented as
\(\begin{gathered} z_{\alpha I2}=95\text{ \%=0.95} \\ \alpha=1-0.95=0.05 \\ \alpha I2=\frac{0.05}{2}=0.025 \end{gathered}\)The Z score for confidence interval of 95% is gotten from the table as 1.96
The formula for the confidence interval for p is
\(^{\prime}p-z_{\alpha I2}\sqrt[]{\frac{^{\prime}p^{\prime}q}{n}}Substitute into the formula
\(\begin{gathered} ^{\prime}p-z_{\alpha I2}z_{\alpha I2}\sqrt[]{\frac{^{\prime}p^{\prime}q}{n}} \\ ^{\prime}p=0.122;^{\prime}q=0.878;z_{\alpha I2}=1.96 \\ =0.122-1.96_{}\sqrt[]{\frac{0.122\times0.878}{450}} \\ =0.122-1.96\sqrt[]{\frac{0.107116}{450}} \\ =0.122-1.96\sqrt[]{0.0002380356} \\ =0.122-1.966(0.015428) \\ =0.122-0.03024 \\ =0.09176 \\ =0.092(3\text{ decimal places)} \end{gathered}\)\(\begin{gathered} z_{\alpha I2}\sqrt[]{\frac{^{\prime}p^{\prime}q}{n}}\text{was calculated to be 0.03024} \\ \text{Therefore} \\ ^{\prime}p+z_{\alpha I2}\sqrt[]{\frac{^{\prime}p^{\prime}q}{n}}=0.122+0.03024=0.15224 \\ =0.152(3\text{decimal places)} \end{gathered}\)Hence, the confidence interval is 0.092
Q.1
According to the Department of Food and Nutrition, the recommended daily allowance (RDA) of calcium for adults is 800 mg. A nutritionist thinks that people with income below poverty level average less than RDA of 800 mg. intakes of calcium were determined for a sample of 40 people with income below poverty level. The results are obtained in the following frequency distribution. Compute the quartiles.
Intake (mg) Frequency
101-200 1
201-300 1
301-400 9
401-500 13
501-600 10
601-700 6
Answers
The quartiles of the distribution are given as follows:
First quartile: 350.5 mg.Second quartile: 450.5 mg.Third quartile: 550.5 mg.How to obtain the quartiles of the distribution?The sample size of the distribution is of:
n = 40.
The first quartile is the value that is greater than 25% of the distribution, hence it is the value at the position which is 25% of the sample size, hence:
Position: 0.25 x 40 = 10.Value: 350.5 mg -> mid-point of the bounds of 301 and 400.The second quartile is the value that is greater than 50% of the distribution, hence it is the value at the position which is 50% of the sample size, hence:
Position: 0.50 x 40 = 20.Value: 450.5 mg.The third quartile is the value that is greater than 75% of the distribution, hence it is the value at the position which is 75% of the sample size, hence:
Position: 0.75 x 40 = 30.Value: 550.5 mg.More can be learned about the quartiles of a distribution at https://brainly.com/question/9265525
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Emina took out a 5/1 variable-rate mortgage for $120,000. The interest rate
for the first period was fixed at 5.25%, and the loan was amortized over 30
years. At the end of the initial loan period, the interest rate was 6.75%, plus a
1.5% margin. What will the unpaid balance on her mortgage be after her initial
period expires?
O
A. $102,164.09
B. $123,740.97
c. $110,579.39
D. $113,739.09
Answers
Answer:
$110,579.39 this is the right answer.
Root of the equation
Answers
Answer:
A fancy way of saying "solutions" of the equation
Will give brainliest to whoever solves this properly, Please help me
Answers
The positions will be filled in 56,280 ways
How to find the number of waysThere are 11 qualified candidates applying for 7 positions. The order of the positions does not matter. after choosing a position the number of persons drop so we solve as follows
For the position of president
11 combination 1 = 11
For the position of secretary
10 combination 1 = 10
For the position of treasurer
10 combination 1 = 10
For the position of three directors
8 combination 3 = 56 ways
the total number of ways to fill these positions is
11 x 10 x 9 x 56 = 56,280.
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i used a variable only once in my class. should it be private static final or just declared inside method
Answers
This is the final static variable for all instances.
That makes the behaviour much more obvious. Modern IDEs will usually suggest changing the second listing into the third.
There is no reason to have an inline declaration initializing the value like the following, as each instance will have its own NUMBER but always with the same value. This is the same than to have only one final static variable for all instances.
The static keyword means the value is the same for every instance of the class. The final keyword means once the variable is assigned a value it can never be changed. The combination of static final in Java is how to create a constant value.
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what is 6 to the 5 power
Answers
The answer is 7,776
6 times 6 times 6 times 6 times 6= 7,776
Answer:
7776
Step-by-step explanation:
6 x 6 x 6 x 6 x 6= 7776
complete the 2 column proof below given j = h and line m bisects gk
Answers
salesperson earns $345 for selling $2300 in merchendice find the commison rate
Answers
Answer:
The commission rate is 15%
Step-by-step explanation:
commission = commission rate x sales
where the commission rate is expressed as a decimal.
In this case, the salesperson earned a commission of $345 for selling $2,300 in merchandise. Therefore, we have:
345 = commission rate x 2300
To solve for the commission rate, we can divide both sides by 2300:
commission rate = 345/2300
Simplifying this expression, we get:
commission rate = 0.15
So, the commission rate is 15%
Sofia and her grandparents set up chairs and tables for her quinceanera, an important
event celebrating her 15th birthday. The ratio of chairs to tables is 6:1. What is the total
number of chairs they need for 18 tables?
Help:,)
Answers
The number of chairs Sofia and her grandparents need for the party is 108 for 18 tables.
How to calculate the number of chairs needed for Sofia's party?To calculate the number of chairs for the party we must take into account the relationship between the number of tables and chairs of 1:6, this means that for each table there are 6 chairs.
According to the above, to know the total number of chairs they need, we must multiply 18 (number of tables) by 6 to know how many chairs are needed.
18 × 6 = 108
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Question 8 (2 points) Saved
What are the ways to determine if a relation is a function? Select EACH correct
answer.
Passes a horizontal line test.
Passes vertical line test.
No repeating x values,
No repeating y values.
Answers
Answer: passes a horizontal AND vertical line test✅; no repeating x values✅
Step-by-step explanation:
To pass a line test, the function must pass BOTH the horizontal and vertical line test. If it only passes one but not the other, is it NOT a function.
Lastly, it can be a function if it has repeating y values.
What is the length of a rectangular holding pond with an area of 5 1/10 square miles and a width of 1/6 mile?
Answers
Write an equation of the line passing through the point (8, -5) that is parallel to the line 2x -6y = -3
Answers
Answer:
y=1/3x+10.5
Step-by-step explanation:
y=mx+b, the equation of the parallel line is y=1/3x+1/2. So we know the slope is 1/3 and all we need is the Y intercept (b). We can find that manually with arithmetic because we know the slope. It turns out to be 10.5
the length of a rectangle is twice its width. if the perimeter of the rectangle is 54m find its area
Answers
Answer:
You can denote the width of the rectangle as x,
than the length of the rectangle will be 2x
and the perimeter of the rectangle will be two length plus two width and it should be equal to 54 in
and the equation will look 2(2x)+2x=54
solving the equation 6x=54, x=9in
So the width of the rectangle is 9in and the length is 9*2=18in
and the area of the rectangle is 9*18=162 sq in.
For which product or quotient is this expression the simplest form? (image attached)! please help :((
Answers
Answer:
D
Step-by-step explanation:
For simplify the work we can start to factorise all the possibles expressions:
2x + 8.
8 is multiple of 2, so it can became
2(x+4)
x^2 - 16 this is a difference of two squares, so it can be rewritten as:
(x+4)(x-4)
x^2 + 8x + 16
we have to find two numbers whose sum is 8 and whose product is 16
the two number are 4 and 4
it becames:
(x+4)(x+4)
x+ 4 can‘t be simplified
if we look at the expression, we can find that x-4 appears at the numerator so
x^2 - 16 must be at numerator
but the second factor (x+4) doesn’t appear, so has been simplified. This situation can be possible only in the D option
in fact
(x+4)(x-4)/2(x+4) * (x+4)/(x+4)(x+4)
it became
(x+4)(x-4)/2 * 1/(x+4)(x+4)
(x-4)/2(x+4)
Answer:
Step-by-step explanation:
I got 100% on the test
David found a vintage watch his father lost 38 years ago. The watch’s date showed that it had worked for over two years after his father lost it. When David found the watch, it was 3 times as old as when his father lost it. How old was the watch when David’s father lost it?
Answers
According to the given information, the watch worked for over two years after his father lost it. So, the total age of the watch becomes "x + 2" years.
When David found the watch, it was 3 times as old as when his father lost it. This means the age of the watch at that time was 3 times "x".
Since the total age of the watch when David found it was the sum of the age when his father lost it and the additional years it worked, we can set up the following equation:
(x + 2) = 3x
Now, let's solve the equation to find the value of "x" (the age of the watch when David's father lost it):
x + 2 = 3x
2 = 3x - x
2 = 2x
x = 1
Therefore, the watch was 1 year old when David's father lost it.
Answer:
Step-by-step explanation:
Hey there,
Here's my reasoning regarding the problem:
Let's assume that the watch at the time it was lost was x years old.
When it was picked it was 3 times as old as it was when it was lost therefore it's currently 3x. The time between when it was lost and when it was found is 38 years. We can break this down into a simple algebraic formula:
3x - x = 38
2x = 38
x = 19
what is the equation in slope intercept form of a line is parallel to y equals negative 2x + 5 and passes through the point 4,0
Answers
Answer:
y=-2x+5
is the equation in slope intercept form.
Tony rented a truck for one day. There was a base fee of $16.99, and there was an additional charge of 83 cents for each mile driven. Tony had to pay $184.65 when he returned the truck. For how many miles did he drive the truck?
Answers
Answer:
I'm not sure maybe 100.646 miles .
EL
2. Robyn and Rachel bought a set of CDs for £20. Robyn paid £11
and Rachel £9. What percentage of the total cost did each pay?
Answers
Answer:
jjee
Step-by-step explanation:
The perimeter of a football field is 1040 feet. The length of the field is 120 feet less than 3 times the width. What are the dimensions of the field?
Answers
Answer:
length: 360 ftwidth: 160 ftStep-by-step explanation:
The perimeter formula and the given relation between length and width can be used to write and solve an equation for the field dimensions.
SetupLet w represent the width of the field. Then (3w-120) is the length of the field, and its perimeter is ...
P = 2(L +W)
1040 = 2((3w-120) +w)
SolutionDividing by 2 and simplifying, we have ...
520 = 4w -120
130 = w -30 . . . . . . divide by 4
160 = w . . . . . . . . . add 30
3w-120 = 3(160) -120 = 360 . . . the field's length
The dimensions of the field are 160 feet long by 360 feet wide.
Find all values of m for which the equation has two real solutions.
3x² + 7x - (m + 1) = 0
Answers
Answer:
m > - 5 1/12----------------------
Given is the quadratic equation.
A quadratic equation has two real solutions if the discriminant is positive.
Set inequality and solve for m:D = b² - 4ac, where a = 3, b = 7, c = - (m + 1)D = 7² + 4*3*(m + 1) 7² + 4*3*(m + 1) > 049 + 12m + 12 > 012m + 61 > 012m > - 61m > - 61/12 m > - 5 1/12seven less than 4 times a number, t
Answers
Answer:
-3+t
-3+t
-3 (times) 3
Step-by-step explanation:
Evaluate the related
series of each sequence
19, 28, 37, 46, 55
Answers
Answer: You add 9 each time
Step-by-step explanation:
19 + 9 = 28 + 9 = 37 + 9 = 46 + 9 = 55
hope this helps mark me brainliest if it did
Please help me with this question.
Answers
The volume and radius of the ice cream and the ice cream cone are;
(a) Volume of the ice cream is about 6.3 cubic inches
(b) Radius of needed for the cone to contain 14.5 cubic inches per serving is about 1.422 inches
What is the volume of a solid?The volume of a solid is the space the solid occupies, which is the amount of cube units that fills the solid.
Rotation of a quarter circle to form an hemisphere, by integration is presented as follows;
\(\int\limits^1_0 \pi \times ({\sqrt{1-x^2} })^2 \, dx = \frac{2}{3} \cdot \pi\)
The volume of the cone carrying the hemisphere = (1/3)×π×1²×4 = (4/3)·π
The volume of the ice cream = The volume of the cone + The volume of the hemisphere
Therefore;
Volume of the ice cream = (2/3)·π + (4/3)·π = (6/3)·π = 2·π ≈ 6.3
The volume of the ice cream ≈ 6.3 cubic inches(b) Volume of ice cream contained in the new ice cream cone, V = 14.5 cubic inches
The formula for the volume of the ice cream, V = (2/3)·π·r³ + (4/3)·π·r²
Therefore;
V = (2/3)·π·r³ + (4/3)·π·r² (substitution property)
V = (2/3)·π·r³ + (4/3)·π·r²
14.5 = (2/3)·π·r³ + (4/3)·π·r²
(2/3)·π·r³ + (4/3)·π·r² - 14.5 = 0
Solving using a graphing calculator, we get; r ≈ 1.422 inchesLearn more on the volume of a solid by rotation of a plane figure here: https://brainly.com/question/12688268
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What is the slope of the following line?
Answers
Answer:c, the answer is c
Step-by-step explanation: