Answer:
R = 118
Step-by-step explanation:
Given
Represent the polynomial with P and the divisor with D
[tex]P = 19x^2 + 15x + 12[/tex]
[tex]D = x -2[/tex]
Required
Determine the remainder
We start by equating the divisor to 0
i.e.
[tex]D = 0[/tex]
[tex]x - 2 = 0[/tex]
[tex]x = 2[/tex]
Substitute 2 for x in the polynomial.
This gives remainder (R)
[tex]R = 19*2^2 + 15*2 + 12[/tex]
[tex]R = 19*4 + 15*2 + 12[/tex]
[tex]R = 76 + 30 + 12[/tex]
[tex]R = 118[/tex]
Hence, the remainder is 118
Find the slope of the line on the graph. Write your answer as a fraction or a whole number, not a mixed number or decimal.
Answer:
m= 1
Step-by-step explanation:
find to ordered pair on the graph and [tex]y^{1} - y^{2} \\ x^{1} - x^{2}[/tex]
Sam bought a video game console for $150. He later sold the video game console for 13/12 of price he originally paid. Which statement about the price sam sold the video game consol for is true?
Answer:
1/45
Step-by-step explanation:
Use a half-angle identity to find the exact value of sin 3pi/8
The above answer is correct! The correct response is A.
Just got it right on edge 2020, hope this helps!! Good luck, and have a great day! :)
The solution is, Using a half-angle identity we get the exact value of
sin 3pi/8 is ±√[(2 + √2) / 4].
Here, we have,
The half angle formula of sin in trigonometry is
sin A/2 = ±√[(1 - cos A) / 2].
If 0 < x < π/2 , then cos x > 0.
now, we have,
sin 3pi/8
here, A/2 = 3pi/8 so, A = 3pi/4 = 6π/8
applying this half angle formula of sin in trigonometry
we get,
sin 3π/8 = ±√[(1 - cos 6π/8) / 2]
= ±√[(1 + 1/√2) / 2]
= ±√[(2 + √2) / 4]
so, we get,
sin 3π/8 = ±√[(2 + √2) / 4]
Hence, The solution is, Using a half-angle identity we get the exact value of sin 3pi/8 is ±√[(2 + √2) / 4].
For more such question on sin in trigonometry visit:
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I need help with this! 20 points pls dont take advantage.
the average adult drinks 1095 cups of coffee annually, About how many cups does the average adult drink per week? 1 year=52 weeks
15
91
21
3
Answer:
the answer is 21
Step-by-step explanation:
If they drink 1,095 cups per year, and there are 52 weeks in a year, you would divide 52 from 1,095(1,095/52) to get your answer which is 21.05769231. If you round it to the nearest whole number, than it is 21. I hope this helps have a great day.
Which of the following is a postulate or theorem used to prove two triangles are congruent? ASA SSS AAA SAS
9514 1404 393
Answer:
ASA, SSS, SAS
Step-by-step explanation:
AAA is a postulate used to prove similarity. Congruence cannot be proved without including at least one side.
ASA, SSS, SAS postulates can be used to prove congruence
Please help me I need help
Which steps can be done to both sides of the equation to determine the value of x? 3.2 x - 9.6= 38.4
Answer:
add both sides ny 9.6 and divide both sides by 3.2, hope this helps!
Give two reasons why it's impossible to draw triangle PQR m angle Q=103^ m angle R=47^ p = 44 q = 12 , and f = 31
Answer:
It is impossible becuase it would not eqaul the numbers a regular triangles would have. A triangle has to equal a certain number and this number does not make a traingle.
Reason 1: The hypotenuse is invalid, because 44^2 does not equal 12^2 + 31^2.
Reason 2: The angles measures do not correlate properly to their assigned letter sides (at least to me). Additionally, 30 degrees just doesn't make any sense from a logical standpoint.
2/3 divided by 5 I Need answers
Answer:
Step-by-step explanation:
7.5
Answer:
if you divide [tex]\frac{2}{3}[/tex] by 5 the answer would be [tex]\frac{2}{15}[/tex]
The equation below describes a proportional relationship between x and y. What is the constant of proportionality? y=3/5x The constant of proportionality is______
Answer:inversely proportional
Step-by-step explanation:
As the value of x increase the value of y decrease
Harry recently had a birthday. He was given $150 dollars from his parents and $75 from his grandparents. Harry wants to purchase movie tickets and video games with is money. Movie tickets cost $11 each and video games cost $45 each. Write an inequality that represents this situation. Let x represent the number of movie tickets and let y represent the number of video games.
Answer:
11x + 45y ≤ 225
Step-by-step explanation:
So he has 150 + 75 = 225. you then would do
11x + 45y ≤ 225
Answer:
225 ≥ 11x + 45y
Step-by-step explanation:
150 + 75 = 225, so $225 is what Harry has to work with.
Harry can't spend more than $225, hence the "more than or equal to" sign.
"x" represents the number of movie tickets, which cost $11 each. "y" represents the number of video games, which are $45 each.
You must combine these terms to equal a number less than or equal to 225.
Graph the line. -2x+y=4
Answer:
y=2x+4
i think that is the answer
Item
Price
Markup %
Markup
Retail Price
Shoes
$75.38
39%
$
your class is having a car wash for a fundraiser. it costs $27.95 for supplies. your class charges $5 per car. write an expression for the profit of the car. find the profit if the class washes 34 cars.
Answer:
5x-27.95=profit
5(34)-27.95
170-27.95
$142.05
Use the tape diagram to write an equivalent ratio in simplest form. Write your ratio using a colon and no spaces.
Answer:
4:3
Step-by-step explanation:
There are 8 yellow spots and 6 blue spots
8:6
We can divide each side by 2 since they are both even
8/2: 6/2
4:3
Answer:
4:3
Step-by-step explanation:
PLEASE HELP NEED IN 10 MINUTES
Students in Ms. Castillo's art classes could choose to make a sculpture or paint a picture as their
final project. The ratio of those who chose to make a sculpture to those that chose to paint a
picture was 3 to 7. There were 24 students who chose to make a sculpture. Let p be the number
of students who chose to paint a picture. Set up a proportion that will allow you to solve for the
value of p.
Answer:
8:56
Step-by-step explanation:
3:7
24/3=8
8 times 7=56
juanito has a rope 1.75 meters long. He needs to cut it into shorter ropes each 0.1 meter long
Answer:
17.5
Step-by-step explanation:
[tex]1.75 \div 0.1 = 17.5[/tex]
Simplify the given expression:.
(12/8 t -5)2 =
Answer:
3t-10
Step-by-step explanation:
[tex]( \frac{12t}{8} - 5)2[/tex]
[tex] = (\frac{12t}{8} - \frac{5 \times 8}{8} )2[/tex]
[tex] = ( \frac{12t - 40}{8} )2[/tex]
[tex] = ( \frac{2(12t - 8)}{8} )[/tex]
[tex] = 3t - 10[/tex]
Construct a 98% confidence interval to determine whether there is any difference between the mean drug concentration in tablets produced at the two sites. Now analyze the data using a statistical test of hypothesis that the two means are different. Do the inferences drawn from the test of hypothesis and confidence interval agree
Answer:
Step-by-step explanation:
So, we are given two sites;
Site one: 91.28 , 92.83, 89.35, 91.90 82.85, 94.83, 89.83, 89.00, 84.62, 86.96, 88.32, 91.17, 83.86, 89.74, 92.24, 92.59, 84.21, 89.36, 90.96, 92.85, 89.39, 89.82, 89.91, 92.16, 88.67.
=> The mean = add up all the numbers/ the total numbers (which is 25). = 89.55.
=> The standard deviation = 3.005
SITE TWO: 89.35 86.51 89.04 91.82 93.02 88.32 88.76 89.26 90.36 87.16 91.74 86.12 92.10 83.33 87.61 88.20 92.78 86.35 93.84 91.20 93.44 86.77 83.77 93.19 81.79.
=> The mean= add up all the numbers/ the total numbers (which is 25). = 89.033.
=> Standard deviation = 3.271.
NB: the assumption here is that the variance for both sites are the same.
STEP ONE: DETERMINE THE DEGREE OF FREEDOM AND THE CRITICAL VALUE.
The degree of freedom =( mean of site 1 ) + (mean of site 2) - 2 = (25 + 25) − 2 = 48.
Since the degree of freedom is 48, Recall that the value for alpha given = 0.02. Then, the critical value = 2.407.
STEP TWO: DETERMINE THE STANDARD DEVIATION AND THE STANDARD ERROR FOR BOTH.
Therefore, the standard deviation = √[( 25 - 1) × 3.005^2 + (25 -1) × 3.271^2) ÷ (25 +25 - 2) ] = 3.14.
Also, the standard error = standard deviation × ( √(1/ mean 1 + 1/mean 2) ..
Standard error = 3.14 × [ ✓( 1/25 + 1/25)] = 0.89.
STEP THREE: DETERMINE THE CONFIDENCE INTERVAL.
confidence interval = (89.548 - 89.033 - 2.41 × 0.89, 89.548 - 89.033 + 2.41 × 0.89) = (- 1.62, 2.65).
STEP FOUR: THE HYPOTHESES.
=> THE TWO TAILED TEST.
Jo:μ1 = μ2.
Ja: μ1 ≠ μ2.
Thus, the rejected region is {t : ∣ t ∣ > 2.7}
As critical value = 2.7 for the degree of freedom which is 48 and α=0.01.
If we do the t - test for this,.we will have;
(89.548 - 89.003)÷ ( standard deviation × √ ( 1/25 + 1/25). = 0.58.
So,from our t - value, is less or equals to the critical value, therefore, the null hypothesis is not rejected.
Also, from the p-value table which gives p=0.565. The p- value is greater than or equal to the alpha value(0.01). therefore, the null hypothesis is not rejected.
We are not going to reject the null hypothesis because the information gathered is not enough.
6 + x = 6 help please
Answer:
The correct answer is that x = 0.
Answer:
x=0
Step-by-step explanation:
6+x=6
x=6-6
x=0
Select the correct answer.
Which system of equations is satisfied by the solution shown in the graph?
Answer:
i think letter D because it's same
Answer:
one solution
Step-by-step explanation:
88) 4 times a number decreased by 8 equals 40
A) x=80 B) x = 40 C) x=8
D) x = 12
One number is four times the other number. The larger number is also 87 more than the smaller number.
Find the larger number.
Answer:
116Step-by-step explanation:
Let numbers be x and y
Then we have equations:
x = 4yx = y + 87Comparing
4y = y + 874y - y = 873y = 87y = 87/3y = 29Then, the larger number is
x = 4*29 = 116Calculate the volume
Please show the steps...
Answer:
(a) 2.6 m^2
(b) 3.9 m^3
Step-by-step explanation:
(a)
ABCD is a trapezoid.
A = (B + b)h/2
A = (1.7 m + 2.3 m)(1.3 m)/2 = 2.6 m^2
(b)
The skip is shaped like a prism with trapezoidal bases.
V = area of base * height
V = 2.6 m^2 * 1.5 m = 3.9 m^3
Help please! I’ll give brainliest if correct!
The graph of an absolute value function opens up and has a vertex of (0, -3).
The domain of the function is
The range of the function is
Answer:
domain (-∞, ∞)
range [-3,∞)
Step-by-step explanation:
domain is the x value and range is the y value. Since its an absolute value the y value rises from both sides of the x value in a 45° angle.
14. (01.04)
On the graph of the equation 3x + 2y = 18, what is the value of the y-intercept?
-9
-6
6
9
Answer:
6
Step-by-step explanation:
U divide 18 by 3.
Answer:
9
Step-by-step explanation:
In slope-intercept form of linear equation y = mx + b , value of "b" is y-intercept.
Let solve 3x + 2y = 18 for "y"
2y = - 3x + 18
y = [tex]-\frac{3}{2}[/tex] x + 9 ⇒ 9 is y-intercept.
===========
There is another way to solve this kind of problems:
Coordinates of y-intercept are (0, y) .
3(0) + 2y = 18
2y = 18
y = 9
(0, 9)
the range of what function include-4
evaluate the expression when x=4/5 and y=-2/9: 3y-x
Answer:
-2/15
Step-by-step explanation:
Which of the following terms is described as “the ratio of two polynomial
expressions”?
a. Linear Algebraic Expression c. Rational Algebraic Expression
b. Linear Algebraic Equation d. Rational Algebraic Equation
Answer:
rational algebraic expression
Answer:
C
Step-by-step explanation: