Answer:
just x = 1 is a root.
Step-by-step explanation:
p(-1) = 5(-1)³ - 2(-1)² + 3(-1) - 6 = -5 - 2 - 3 - 6 = -26
so x= -1 isn't root for p(x)
p(1) = 5(1)³ - 2(1)² + 3(1) - 6= 5 - 2 + 3 - 6= 0
so x = 1 is a root for p(x)
Find the measurement of the missing side. Round all answers to the nearest tenth.
Find Two consecutive positive integers such that the square of the larger integer is nineteen more than nine times the smaller integer
Answer:
9 and 10
Step-by-step explanation:
To start, let's have what we know:
a and b are two consecutive positive integers
a = first integer
b = second integer, 1 greater than variable a
b = a + 1
b^2 = 19 + 9a
To solve this, we would only have to substitute values in
b^2 = 19 + 9a
(a+1)^2 = 19 + 9a
a^2 + 2a +1 = 19 + 9a
-9a -19 -19 - 9a
a^2 -7a - 18 = 0
a^2 + 2a - 9a - 18
a(a + 2) - 9(a+2) = 0
(a - 9)(a + 2) = 0
So solving this, we would get a = 9 or a = -2. Since this is supposed to be a positive integer, a will be 9.
Solving for b,
b = a + 1
= 9 + 1
= 10
Let me know in the comments if you have any questions! If you could mark this answer as brainliest, I would very much appreciate it!
decrease 70 in the ratio 3:2
Answer:
105
Step-by-step explanation:
For each pair of numbers, tell: By what percent of the first number is the second number larger? By what percent of the second number is the first number smaller? 5 and 10
Answer:
Part A: 100%
Part B: 50%
Step-by-step explanation:
The difference between 10 and 5 is 5
5 is 100% of 5, so 10 is 100% greater than 5 (part A)
5/5 = 1 = 100%5 is 50% of 10, so 5 is 50% less than 10 (part B)
5/10 = 1/2 = 50%Part A is 100%, and Part B is 50%
-Chetan K
Answer:
10 is 100% greater than 5
5 is 50% less than 10
Step-by-step explanation:
big brain
What is the answer to five??
Answer:
y = 56000 + 14000x
Step-by-step explanation:
Let x = number of years after 2020
Let y = number of miles on odometer
Given:
Car has traveled 56000 by January 1, 2020Car travels 14000 miles each yeary = 56000 + 14000x
100 POINTS! FULLY CORRECT AND EXPLANITORY ANSWERS OLNY!
Akari has a punch bowl with a volume of 130,000/3 π cm^3. She is hosting a party where she’ll be offering guests two different sizes of cylindrical cups.
The bowl is completely full when Akari begins serving the punch.
Note: 1 cm^3=1 mL
A. Cup A has a diameter of 10 cm. and a height of 20 cm. Find Volume of Cup A.
B. Determine how many cups the punch bowl will fill using Cup size A.
Round the number of scoops to the nearest whole number, and make certain to show your work.
C. Cup B has a diameter of 20 cm. and a height of 20 cm. Find the volume of B.
D. Determine how many cups of punch the punch bowl will fill using Cup size B. Round the number of scoops to the nearest whole number, and make certain to show your work.
THIS QUESTION HAS 4 PARTS (A,B,C, and D) REMEMBER TO ANSWER THEM ALL! Thank you!
Answer:
volume of a cylinder = [tex]\pi r^2h[/tex] (where r is the radius and h is the height)
diameter = [tex]2r[/tex] (where r is the radius)
A) volume of Cup A = [tex]\pi \times 5^2\times20=500\pi \textsf{ cm}^3[/tex]
B) Assuming the volume of the punch bowl is [tex]\dfrac{130000}{3}\pi \textsf{ cm}^3[/tex]
[tex]\implies \dfrac{130000}{3}\pi \div 500\pi=\dfrac{260}{3}=87 \textsf{ (nearest whole number)}[/tex]
C) volume of Cup B = [tex]\pi \times 10^2\times20=2000\pi\textsf{ cm}^3[/tex]
D) Assuming the volume of the punch bowl is [tex]\dfrac{130000}{3}\pi \textsf{ cm}^3[/tex]
[tex]\implies \dfrac{130000}{3}\pi \div 2000\pi=\dfrac{65}{3}=22 \textsf{ (nearest whole number)}[/tex]
#1
Diameter=10cm
Radius=r=5cmHeight=20cm=h[tex]\\ \rm\Rrightarrow V=\pi r^2h[/tex]
[tex]\\ \rm\Rrightarrow V=\pi 25(20)[/tex]
[tex]\\ \rm\Rrightarrow V=500\pi cm^3[/tex]
#2
Total cups:-
130000/3π÷500π =87cups#3
Radius=r=10cmHeight=20cm[tex]\\ \rm\Rrightarrow V=\pi 100(20)[/tex]
[tex]\\ \rm\Rrightarrow V=2000\pi cm^3[/tex]
#4
Total cups
130000/3 π÷2000π=22cupsA circular patio has a diameter of 12 feet. Holly is stringing lights around the edge of the patio. Approximately how many feet of stringed lights does Holly need? Use 3.14 for π.
Answer:
37.68
i took the test hope this helped
Which function has the following domain and range?
Domain: {-5, - 3,0, 3, 11}
Range: { - 4,0, 2}
Answer:
The required function has domain and range is (4,1),(−3,−5),(12,2),(0,−5),(−7,1)}{(4,1),(−3,−5),(12,2),(0,−5),(−7,1)}
Given that,
Domain: {−7,−3,0,4,12}{−7,−3,0,4,12}
Range: {−5,1,2}{−5,1,2}
We have to find,
The function has the following domain and range.
According to the question,
The domain refers to the set of possible input values. The domain of a graph consists of all the input values shown on the x-axis.
The range is the set of possible output values shown on the y-axis.
The domain of the function is the set R
Range: The absolute value function results in a non-negative value always.
Then, Function has domain and range is {(4,1),(−3,−5),(12,2),(0,−5),(−7,1)}{(4,1),(−3,−5),(12,2),(0,−5),(−7,1)}
Hence, The required function is (4,1),(−3,−5),(12,2),(0,−5),(−7,1)}{(4,1),(−3,−5),(12,2),(0,−5),(−7,1)}
For the more information about Range and Domain click the link given below.
Step-by-step explanation:
Two trains, train A and train B,weigh a total of 240 tons. Train A is heavier than train B. The difference of their weights is 70 tons. What is the weight of each train?
Answer:
Train A : 155 tons ; Train B : 85 tons
Step-by-step explanation:
Call train A as A, train B as B
A + B = 240t
A - B = 70t
Add these 2 together, we get :
A + B + A - B = 310t
2A = 310t (B-B = 0)
So, A = 155
B = 240 - 155 = 85
A car travels 60 km at 30 km/hr and then a further 180 km at 160 km/hr. Find the total time taken.
Answer: 76.8km/hr
Explanation:
PT1
sp1 - 30km/hr
d1 - 60km
60 divided by 30 = 2hrs
PT2
sp2 - 160km/hr
d2 - 180km
180 divided by 30 = 1hr, 7min, 30sec (1.125)
PT3
Total Time Taken - 2hrs + (1:07:30) 1.125 = 3.125hrs
Avg. Speed - (60km + 180km) divided by 3.125hrs
60km + 180km = 240
240km divided by 3.125 = 76.8km/hr
Prove that in a right triangle, the side that is opposite to a 30 degree angle = 1/2 hypotenuse.
Giving brainliest (if possible) + 60 pts.
Answer:
This can be proved in a number of different ways, but the simplest is to use the sine trig ratio:
[tex]sin(\theta)=\dfrac{O}{H}[/tex], where [tex]\theta[/tex] is the angle, O is the side opposite the angle and H is the hypotenuse.
Given the angle is 30°:
[tex]\implies sin(30)=\dfrac{O}{H}[/tex]
[tex]\implies \dfrac12=\dfrac{O}{H}[/tex]
[tex]\implies O=\dfrac12H[/tex]
PLEASE HELP !!!!!!! I do not understand
Answer:
The second set or second one.
Step-by-step explanation:
(-1,1)
(-3,-1)
(-2,-4)
(2,-2)
The negative numbers becomes positive
The positive numbers becomes negative, if you compare the coordinates, before & after.
Hope this helps!
16) Which expression represents the phrase?
'The product of 5 and 6 reduced by t."
A) 5 - 60
B) 5(6 - t)
C) 546 + t)
D) 5 + 60
Answer:
The correct answer is B.
1) Which expression is a DIFFERENCE?
A) (6 - 4) x 5
B) 6 - (4 x 5)
9) 8 + (5 - 2)
D) (6 - 4)(3 - 1)
Answer:
B, a difference is a result of subtraction
A survey finds that 40% of students ride in a car to school. Eri would like to estimate the probability that if 3 students were randomly selected, only 1 rides in a car. To simulate this probability, she lets the numbers 0, 1, 2, and 3 represent a student who rides in a car to school and then 4, 5, 6, 7, 8, and 9 represent a student who does not ride in a car to school. She then has a computer randomly select 3 numbers. She repeats this process for 20 trials. The results of these trials are shown in this list. 468, 380, 120, 220, 553,945, 935, 607, 473, 490,074, 981, 692, 518, 408,954, 943, 389, 594, 569 Based on this simulation, what is the estimated probability that only 1 of 3 randomly selected students rides in a car to school? Enter your answer, as a decimal, in the box.
The estimated probability that only 1 of 3 randomly selected students rides in a car to school is 0.6.
Given
A survey finds that 40% of students ride in a car to school.
Eri would like to estimate the probability that if 3 students were randomly selected, only 1 ride in a car.
ProbabilityProbability means possibility. It is a branch of mathematics that deals with the occurrence of a random event.
The total number of trials is 20, and a number of 1 student trial = 12.
The estimated probability that only 1 of 3 randomly selected students rides in a car to school is;
[tex]=\dfrac{20}{12}\\\\= 0.6[/tex]
Hence, the estimated probability that only 1 of 3 randomly selected students rides in a car to school is 0.6.
To know more about probability click the link given below.
https://brainly.com/question/3230160
Answer:
0.60
Step-by-step explanation:
Took the k12 test
Factor completely 18x2 − 21x −15. 3(2x 1)(3x − 5) 3(2x − 5)(3x 1) 3(2x − 1)(3x 5) 3(6x 1)(x − 5).
The factor of the [tex]18x^{2} -21x-15[/tex] will be 3(3x-5)(2x+1).
What will be the factor of [tex]18x^{2} -21x-15[/tex] ?Given quadratic equation is [tex]18x^{2} -21x-15[/tex]
By taking 3 common from whole of the equation it becomes.
[tex]3(6x^{2} -7x-5)[/tex]
now by factorization equation will be.
[tex]3(6x^{2} -10x+3x-5)[/tex]
3[(2x(3x-5)+1(3x-5)]
Taking (3x-5) common from whole equation it will become
3(3x-5)(2x+1).
Hence the factor of the [tex]18x^{2} -21x-15[/tex] will be 3(3x-5)(2x+1).
To know more about factorization follow.
https://brainly.com/question/25829061
please help me answer
Answer:
Graph C with values below
Step-by-step explanation:
To do this you substitute x with the values of x given to solve for y:
-3:
-2:
y= [tex]\frac{1}{2}[/tex](-2)³-2(-2)+1y= ([tex]\frac{1}{2}[/tex]×-8)+4+1y= -4+5y= 10:
y= [tex]\frac{1}{2}[/tex](0)³-2(0)+1y = 0+0+1y= 12:
y= [tex]\frac{1}{2}[/tex](2)³-2(2)+1y= ([tex]\frac{1}{2}[/tex]×8)-4+1y= 4-4+1y=1Using these values we can fill out the table and see the It must be graph C that is the correct curve.
two random samples of 25 people were asking how many 12 oz cans of soda they consume each week first sample contains both males and females aged 12 to 19 and females aged 20 to 39 thee results are shown in the table below. Sample 1: 16 11 9 12 11 10 10 8 15 0. 2 15 14 7 11 5 14 20 3 11 13 7 0 5 21. Sample 2: 18 14 0 7 5 7 10 7 6 9 12 3 14 4 11 16 0 10 9 5 0 16 11 2 4. (Show all work on these questions) A: Find the mean and MAD of Sample 1. B: how many data points in s1 are closer than one MAD from the mean of Sample 1. C: find the mean abs made of Sample 2. Part D: same thing as part b but with Sample 2.
Answer:
One inference that can be made is that the age group of 12-19 consume more sodas than the age group of 20-39.
Step-by-step explanation:
Please help me, i need the answers ASAP! (With proper steps please)
a) 35 x 13 + 3.14 x [tex]\frac{13}{2}[/tex]²
= 455 + 3.14 x 42.25
= 455 + 132.665
= 587.665 m²
∴ The area is 587.665 m².
Find the Area of the figure below
Answer: 26.3^2
Step-by-step explanation:
rectangle:
5*4 = 20
semicircle:
6.28
20+6.28 = 26.28. rounded = 26.3
Try to factor the number 20
Answer:
1, 2, and 5
Step-by-step explanation:
20
= 4 x 5
= 2 x 2 x 5 x 1
=> Factors of 20 are 1, 2, and 5
HELP
Angel has a rectangular garden that is 15 feet longer than it is wide. A cement path that is 4 feet wide surrounds the garden. The total area of the path is 632 sq. ft. what are the dimensions of the garden?
Answer:
43 ft. long, 28 ft. wide, area is 1204 sq. ft.
Explanation:
I had to draw a diagram for this, and I scribbled all over it, so bear with me as I try to describe this:
The garden is x+15 ft long, and x ft wide. The path is x+23 ft long, and x+8 ft wide, because the path adds 4 ft all around. If you cut the path into smaller rectangles, and find the area of the rectangles, the path is concluded have an area of 16x+184 sq. ft. We already know the area of the path is 632 sq. ft, which in equation form is 16x+184=632. If you solve for x, you get 28 ft. That means the width of the garden is 28 ft. If the length is 15 ft. longer than the width, the length is 43 ft. I also calculated the area for just in case you need it. Let me know if this was helpful in the comments.
The diagram below shows the dimensions of a rectangular house with a
rectangular backyard.
40 ft House
Backyard
50 ft
30 ft
80 ft
What is the total area, in square feet, of the house and backyard?
A
200
B
400
с
4,000
D
5,200
Answer:
Your labels are weird and I can't tell what the dimensions are.
Step-by-step explanation:
Remember that the area of rectangles is the length times width. So The long side times the short side. There are two rectangles here so find the area of both and add them up.
413, 405, 397,. Find the 48th term.
giving brainliest
Answer:
37.
Step-by-step explanation:
Find the pattern and write the general term: a_n = - 8 n + 421Substitute and calculate: a_48 = 37Ans.
A company makes wax candles shaped like rectangular prisms. Each candle is 7 cm long, 2 cm wide, and 10 cm tall. If the company used 5740 cm of wax, how
many candles did they make?
Answer:
They made 41 candles.
Step-by-step explanation:
v=l×w×hv=10×7×2v=140 cm cubedlastly I divided 5740 by 140 ( the volume of one candle)therefore I got 41 candles were made from 5740 cm cubed of wax
Explain how to evaluate the expression 8x2 + 25y, when x = 3 and y = 2
Answer:
122
Step-by-step explanation:
substitute x = 3 and y = 2 into the expression
8x² + 25y
= 8(3)² + 25(2)
= 8(9) + 50
= 72 + 50
= 122
Look at the picture, please answer
Find the volume of the composite figure to the nearest whole number
= __ ft³
Answer:
Step-by-step explanation:
Think of the figure as two different figures, the first figure being a rectangular prism with the measurements of 6ft x 2ft x 3ft and the second figure being another rectangular prism with the measurement of 2ft x 4ft x 5ft. The volume of the first prism is 36ft^3 and the second is 40ft^3. Therefore the figure's volume is 76ft^3.
Anyone know what 2x - 30 is?
Answer:
2(x-15)
Step-by-step explanation:
First we must factor 2x-30Next, we 30 as 2*15Lastly we factor out the common term, which leaves us with 2(x-15)4(2m - 5) = 2(3m-4)
Whats the value of m?
Step-by-step explanation:
Use the Distributive Property:
[tex]8m - 20 = 6m - 8[/tex]
Subtract 6m from both sides:
[tex]2m - 20 = - 8[/tex]
Add 20 to both sides:
[tex]2m = 12[/tex]
Divide each side by 2:
[tex]m = 6[/tex]
Answer:m=6
Step-by-step explanation:
Quadrilateral MNOP has vertices M(-3,4), N(-1,4), O(4,-5), P(2,-5). What is the approximate perimeter of the quadrilateral?
Answer Choices:
A. 15 units
B. 18 units (Found out it was wrong)
C. 22 units
D. 25 units
*PLEASE HELP ME WITH THIS! (ONLY IF YOU CAN!)*
The perimeter of a shape is the sum of its side lengths
The perimeter of the quadrilateral is approximately 25 units
How to determine the perimeterThe vertices of the quadrilateral MNOP are given as:
M = (-3,4)
N = (-1,4)
O = (4,-5)
P = (2,-5)
Start by calculating the lengths of the side lengths using the following distance formula
[tex]d = \sqrt{(x_2 -x_1)^2 + (y_2 -y_1)^2}[/tex]
So, we have:
[tex]MN = \sqrt{(-1 +3)^2 + (4 -4)^2} = 2[/tex]
[tex]NO = \sqrt{(4+1)^2 + (-5 -4)^2} \approx 10.3[/tex]
[tex]OP = \sqrt{(2-4)^2 + (-5 +5)^2} =2[/tex]
[tex]PM = \sqrt{(-3-2)^2 + (4+5)^2} \approx 10.3[/tex]
The perimeter is then calculated as:
[tex]P = 2 + 10.3 + 2 +10.3[/tex]
Add
[tex]P = 24.6[/tex]
Approximate
[tex]P = 25[/tex]
Hence, the perimeter of the quadrilateral is approximately 25 units
Read more about perimeter at:
https://brainly.com/question/17297081
