Answer:
The product of the polynomials is 6p³ + 29p² + 22p - 21
Step-by-step explanation:
(2p + 7)(3p² + 4p - 3)
Use the foil method to multiply.
6p³ + 8p² - 6p + 21p² + 28p - 21
Combine like terms. Make sure you put the equation in standard form. This means that the exponential numbers will be ordered in descending form.
6p³ + 29p² + 22p - 21
PLEASE HELP use trigonometry to solve for a missing angle x of the right triangle
Answer:
x = 80°
Step-by-step explanation:
from SOH CAH TOA
we are going for TOA
where TOA => Tan x = Opposite side of the Angle
Adjacent Side of The Angle
Tan x = 27500
5000
Tan x = 5.5
x = Tan⁻¹ 5.5
or
= arctan 5.5
= 79.70°
≈ 80°
Answer:
x = 80°
Step-by-step explanation:
You are walking near a river. While standing at A, you measure an angle of 90° between B and C, as shown. You then walk to B and measure an angle of 77° between A and C. The distance between A and B is about 1.5 miles. How wide (in miles) is the river between A and C? Round your answer to the nearest tenth.
Answer:
Length of AC = 6.67 miles
Step-by-step explanation:
Given:
Angel between B and C = 90°
Angel between A and C = 77°
AB = 1.5 miles
Find:
Length of AC
Computation:
Using trigonometric laws
Cos 77° = Base / hypotenuses
0.225 = 1.5 / hypotenuses
hypotenuses = 6.67 miles
Length of AC = 6.67 miles
5. The monthly rent of a flat in New Delhi is 32 860 rupees.
How much is this in euros?
1
Answer:
386.11
Step-by-step explanation:
32,860=€386.11
a traffic light can either be green, yellow or red. for every minute, the light stays green for 35 seconds, yellow for 5 seconds, and red for 20 seconds. At any given moment of the day, what is the probability that the light will be yellow? a. 1/12 b. 1/9 c. 1/8 d. 1/6 e. 1/3
Answer:
a. 1/12 (hope it help)
Step-by-step explanation:
5sec/60sec=1/12
solve inequality for x
x/-4<16
The answer to this problem is x> -64
Step-by-step explanation:
[tex]x - 4 < 16 \\ x < 16 + 4 \\ x < 20[/tex]
x={...17,18,19}
Divide up the number 60 in 2:3:5 ratio.
Answer:
Step-by-step explanation:
PLEASE ANSWER WILL MARK BRAINLIEST!!!!!!In which scatterplot is the vertical line placed correctly when using the divide-center method to find the regression line? On a graph, points are grouped together and increase. A vertical dotted line goes through the points. There are 7 points to the left of the line, and 3 points to the right. On a graph, points are grouped together and increase. A vertical dotted line goes through the points. There are 4 points to the left of the line, and 6 points to the right. On a graph, points are grouped together and increase. A vertical dotted line goes through the points. There are 6 points to the left of the line, and 4 points to the right. On a graph, points are grouped together and increase. A vertical dotted line goes through the points. There are 5 points to the left of the line, and 5 points to the right.
Answer:
Answer Would Be D.
Step-by-step explanation:
There is an even amount of dots on each side of the divider.
Answer:
It is D~~
Step-by-step explanation:
If we were to imagine the trend line and draw a oval around it and then draw a line in the middle, then D would be correct.
btw sorry if this answer... is like... too late. o_o
Discuss the validity of the following statement. If the statement is always true, explain why. If not, give a counterexample. If Upper P (Upper E )plus Upper P (Upper F )equals Upper P (Upper E union Upper F )plus Upper P (Upper E intersect Upper F ), then E and F are mutually exclusive events.
Answer:
[tex]P(E \cup F)=P(E)+P(F)[/tex].
Step-by-step explanation:
Given the statement
If [tex]P(E)+P(F)=P(E \cup F)+P(E \cap F)[/tex], then E and F are mutually exclusive events.
If two events are mutually exclusive, they have no elements in common. Thus, P(E∩F)=0.
Therefore, the statement is always true as P(E∩F)=0
For mutually exclusive events:
[tex]P(E \cup F)=P(E)+P(F)[/tex].
A package of 4 pairs of insulated gloves costs $26.76. What is the unit price of the pairs of gloves?
Answer:
Hey!
We have been given the price of $26.76. This is the price for 4 pairs of insulated gloves. But, we need to know the unit price.
Unit, means the price of one of those pairs of gloves. To find that we divide.
$26.76 ÷ 4 = 6.69.
But, this is NOT the answer. The answer HAS to have a dollar sign and an explanation.
Our final answer is:
It costs $6.69 for each pair of insulated gloves.
Thank you for your time. Good luck on your assignment!! :D
Read the following two statements. Then, if possible, use the Law of Detachment to draw a conclusion. If two figures are congruent, their areas are equal. The area of ABCD equals the area of PQRS. I will make you a brainllest
Answer:
not possible
Step-by-step explanation:
The Law of Detachment is:
If p, then q. p is true. We can then conclude q is true.
For example:
If it rains, the grass gets wet. It is raining. Then the grass is wet.
In the problem in this post, it is not possible to use the Law of Detachment because we have:
If p then q. q is true. We are not told p is true, so we cannot conclude q is true.
Answer: not possible
Of the 12 temporary employees in a certain company, 4 will be hired as permanent employees. If 5 of the 12 temporary employees are women, how many of the possible groups of 4 temporary employees consist of 3 women and 1 man
Answer:
70 possible groupsStep-by-step explanation:
Given the total number of employee to be equal to 12 temporary employee.
Number of women employee = 5 women
Number of men employee = 12 - 5 = 7 men
If 4 will be hired as permanent employees, the possible ways they can be grouped so that the 4 temporary employees consists of 3 women and 1 man can be done by applying the combination formula.
Combination has to do with selection. For example, if r objects are to be selected from n pool of similar objects, this can be done in nCr different ways.
[tex]nCr = \frac{n!}{(n-r)!r!}[/tex]
According to question, we are to select 3 women from 5 women and 1 man from 7 men. Based on similarity in sex, this can be done in (5C3* 7C1) different ways .
[tex]5C3 * 7C1\\= \frac{5!}{(5-3)!3!} * \frac{7!}{(7-1)!1!}\\\\= \frac{5!}{2!3!} * \frac{7!}{6!1!}\\\\= \frac{5*4*3!}{3!*2} * \frac{7*6!}{6!*1}\\\\= \frac{20}{2} * \frac{7}{1}\\ \\= 10*7\\\\= 70\ possible\ groups[/tex]
Jaya agreed to give matt a loan for $80 but she’ll also be charging him 8% interest.How much will he have to pay her back
Answer:
Step-by-step explanation:
Let organise our information :
Jaya will charge Matt an 8 percent interest for 80 dollars loanwe can say that :
80 dollars⇒ 100 percentx ⇒ 8 percent
so :
x =( 8*80 )/ 100= 6.4
so the interest is 6.4 dollars
so the total cost is 86.4
Solve for the value of x 3x + 8 = 2
Answer:
-2
Step-by-step explanation:
Answer: x = -2
Step-by-step explanation:
3x + 8 = 2
3x = -6
x = -2
Please help emergency and add explanation too pleaSE
Answer:
1
Step-by-step explanation:
Change 1/2 to 0.5. Then, do the problem of 0.75-0.25+0.5.
Step-by-step explanation:
is your answer mate ......
Find a formula for the general term of each of the following sequences a)7,13,19,25,31
Answer:
aₙ= 6n+1
Step-by-step explanation:
7,13,19,25,31
Given, AP with the first term of 7, and common difference of 6
Nth term:
aₙ= a₁+(n-1)d= 7 + (n-1)*6= 7+6n-6= 6n+1aₙ= 6n+1Larry spent a total of $\$64.24$ on four books. If each book cost the same amount, how many dollars did each book cost? Express your answer as a decimal.
Step-by-step explanation:
[tex]64.24 = 4x \\ \frac{64.24}{4} = \frac{4x}{4} \\ 16.06 = x[/tex]
so one book is $16.06
The expression means the product of 5 and the difference of three times r minus 10. If r = 4, the value of the expression is .
Answer:
10
Step-by-step explanation:
"three times r" = 3r
"three times r minus ten" = 3r - 10
"product of 5 and the difference of three times r minus ten"
= 5 (3r - 10)
given that r = 4,
the expression becomes
5 (3r - 10)
= 5 [3(4) - 10]
= 5 [12 - 10]
= 5 (2)
= 10
The given line segment has a midpoint at (3, 1).
On a coordinate plane, a line goes through (2, 4), (3, 1), and (4, negative 2).
What is the equation, in slope-intercept form, of the perpendicular bisector of the given line segment?
y = One-thirdx
y = One-thirdx – 2
y = 3x
y = 3x − 8
Answer:
[tex]y=\frac{1}{3}x[/tex]
Step-by-step explanation:
The given line segment has a midpoint at (3, 1) and goes through (2, 4), (3, 1), and (4, -2). We can use any two of the three points to calculate the equation of the line. Let us use the points (2, 4) and (4, -2)
Therefore the line goes through (2, 4) and (4, -2). The equation of a line passing through [tex](x_1,y_1)\ and\ (x_2,y_2)[/tex] is:
[tex]\frac{y-y_1}{x-x_1}=\frac{y_2-y_1}{x_2-x_1}[/tex].
Therefore the line passing through (2, 4) and (4, -2) has an equation:
[tex]\frac{y-y_1}{x-x_1}=\frac{y_2-y_1}{x_2-x_1}\\\frac{y-4}{x-2}=\frac{-2-4}{4-2}\\\frac{y-4}{x-2}=\frac{-6}{2}\\y-4=x-2(-3)\\y-4=-3x+6\\y=-3x+10[/tex]
Comparing with the general equation of line: y = mx + c, the slope (m) = -3 and the intercept on the y axis (c) = 10
Two lines are said to be perpendicular if the product of their slope is -1. If the slope of line one is m1 and the slope of line 2 = m2, then the two lines are perpendicular if:
[tex]m_1m_2=-1[/tex].
Therefore The slope (m2) of the perpendicular bisector of y = -3x + 10 is:
[tex]m_1m_2=-1\\-3m_2=-1\\m_2=\frac{1}{3}[/tex]
Since it is the perpendicular bisector of the given line segment, it passes through the midpoint (3, 1). The equation of the perpendicular bisector is:
[tex]\frac{y-y_1}{x-x_1}=m\\\frac{y-1}{x-3}=\frac{1}{3}\\ y-1= \frac{1}{3}(x-3)\\ y-1=\frac{1}{3}x-1\\y=\frac{1}{3}x[/tex]
the equation, in slope-intercept form, of the perpendicular bisector of the given line segment is [tex]y=\frac{1}{3}x[/tex]
Answer:
I believe the answer is A. y = 1/3x
Step-by-step explanation:
Keenan buys an embroidery machine for $1,400. He uses it to embroider
T-shirts. His total profit in dollars from selling the T-shirts is represented with
the function f(x) = 12x - 1,400. When the machine breaks, he pays $135 to
have it fixed. How does that cost affect a graph of Keenan's profit function?
Answer:
the graph shift down 135 units
Step-by-step explanation:
when there is no fixing cost:
f(x)=12x-1400
when there is fixing cost (0ne time): 12x-(1400+135)
the graph shift down 135 units
Those $ 135 will be added to the fixed cost, by increasing the expense with respect to the embroidery, with which the function will become the following: f (x) = 12x - (1,400 + 135).
Since Keenan buys an embroidery machine for $ 1,400, and he uses it to embroider T-shirts, and his total profit in dollars from selling the T-shirts is represented with the function f (x) = 12x - 1,400, and when the machine breaks, he pays $ 135 to have it fixed, to determine how does that cost affect a graph of Keenan's profit function, the following mathematical analysis must be performed:
Keenan's fixed expense is 1,400, which is the value of the embroider, and which must be considered when evaluating profit or loss from business operations.Thus, 1400 must be divided by the total number of T-shirts sold, to determine the cost per product sold.Therefore, those $ 135 will be added to the fixed cost, by increasing the expense with respect to the embroidery, with which the function will become the following: f (x) = 12x - (1,400 + 135).
Learn more in https://brainly.com/question/15853856
An ellipse is graphed. Which statements about the ellipse are true? Select three options. An ellipse is graphed. Which statements about the ellipse are true? Select three options. The center is at (−4, 2). The distance between the center and each covertex is 3 units. The vertices are at (−7, 1) and (−1, 1). Each focus is approximately 2.65 units above or below the center. The directrices are horizontal lines approximately 6 units from the center on the major axis.
Answer:
b, d, e
Step-by-step explanation:
The distance between the center and each covertex is [tex]3[/tex] units.
Each focus is approximately [tex]2.65[/tex] units above or below the center.
The directrices are horizontal lines approximately [tex]6[/tex] units from the center on the major axis.
Define Ellipse.An ellipse is just a circular plane curve created by a geographical distances in such a manner that the sum of its lengths from two points is always the same.
The distance between the center and each covertex is [tex]3[/tex] units.
Each focus is approximately [tex]2.65[/tex] units above or below the center.
The directrices are horizontal lines approximately [tex]6[/tex] units from the center on the major axis.
Find out more information about ellipse here:
https://brainly.com/question/19507943?referrer=searchResults
can you pls help thank you
Answer:
not a function
Step-by-step explanation:
This is not a function. For the value x =2 there are two different y values
To be a function each value of x has only one value for y
This would also fail the vertical line test
In the equation, C = 8n + 25, C represents amount of money raised and n represents the number of pledges. How many pledges are needed to raise $850?
Answer:
103 pledges
Step-by-step explanation:
The equation we have here is;
C = 8n + 25
Now we need to find n given that c is $850
simply substitute for the value of c in the question
850 = 8n + 25
850-25 = 8n
825 = 8n
n = 825/8
n = 103.125
But since a pledge cannot be fractional, we can say that n = 103
The number of deaths by road as recorded in a country is 2 per 50,000 of the population. Find the probability that in a town of 100,000 inhabitants within the country (a). between one and three inclusive, and (b). between two and five deaths by road will be recorded.
Answer:
(a) 0.635
(b) 0.498
Step-by-step explanation:
(a) The probability distribution is calculated using the cumulative distribution function of the Poisson as follows;
CDF = [tex]F(x)=e^{-\lambda t}\sum_{i = 0}^{\left | x \right |}\dfrac{\lambda t^{i}}{i!}[/tex]
For x = three we have;
CDF = 0.781
For x = one we have;
CDF = 0.1465
Therefore, the probability that between one and three inclusive = 0.781 - 0.1465 = 0.635
(b) For x = 2 we have;
CDF = 0.4395
For x = one we have;
CDF = 0.9378
Therefore, the probability that between one and three inclusive = 0.9378- 0.4395= 0.498
define the type of sequence 7, 14, 28, 56, 112
Answer:
This is a geometric sequence.
Please help. I don't understand how to solve this problem.
Answer:
BF=16
Step-by-step explanation:
To find BF, (I will be calling it x) you need to use the equation
CF/FB=CE/EA Substitute
FB=x
24/x=18/12 cross multiply
18x=288 divide both sides by 18
x=16
FB=16
Hope this helps, if it does, please consider giving me brainliest, it will help me a lot.
Have a good day! :)
According to the graph, what is the solution to this system of equations?
(2,3)
(3, 2)
(-1, 4)
(4, -1)
Solve for rrr: \dfrac{7}{10}=r-\left(-\dfrac{8}{5}\right) 10 7 =r−(− 5 8 )start fraction, 7, divided by, 10, end fraction, equals, r, minus, left parenthesis, minus, start fraction, 8, divided by, 5, end fraction, right parenthesis r =r=r, equals
Answer:
r = -9/10
Step-by-step explanation:
Given
7/10 = r - (-8/5)
Required
Solve for x
7/10 = r - (-8/5)
We start by opening the bracket
7/10 = r + (- -8/5)
7/10 = r + (8/5)
7/10 = r + 8/5
Subtract 8/5 from both sides
7/10 - 8/5 = r + 8/5 - 8/5
7/10 - 8/5 = r
Solve the fraction by taking their LCM
(7 - 16)/10 = r
-9/10 = r
Reorder the above
r = -9/10
Hence, the value of r is -9/10
Answer:
4(− 5/7 )
Step-by-step explanation:
What are the domain and range of f(x) = 2x - 4?
Answer:
y intercept is -4 and the slope is 2. You can figure it out from there. Just make a graph
Step-by-step explanation:
URGENT I NEED THIS DONE PLEASE ILL GIVE THE FIRST ANSWER BRAINLIEST Charles begins finding the volume of a trapezoidal prism using the formula A = One-half(b1 + b2)h to find the prism's base area. Charles's work: A = ((x + 4) + (x + 2))x A = (2x + 6)x A = (x + 3)x A = x2 + 3x Which expression can be used to represent the volume of the trapezoidal prism? A. 2x3 + 6x2 B. x3 + 6x2 C. x3 + 3x2 D. 2x3 + 3x2
Answer:
2x3 + 6x2
Step-by-step explanation:
Answer:
A on edge
Step-by-step explanation:
A pizza has a diameter of 6 inches and is cut into 8 slices. What is the area of each slise th BOXES are the options PLEASE I NEED HELP RIGHT NOW
Answer:
3.53 inch
Step-by-step explanation:
area = 1/8 π r² with r=3 inch (half diameter)
= 9/8 π ≈ 3.534 inch²
Answer:
2.53 in,3.53 in
i hope this helps sorry if it doesn't