Answer:
Step-by-step explanation:
if m and n are irrational number then the product of mn sometimes rational and sometime irrational
ex: √5 *√2=√10 irrational
ex: √8*√2=√16=4 rational
b-y=|x|+3
explain why |x|+3≥|x+3|
absolute value of any number is always positive
x |x|+3 ≥ |x+3|
1 4 = 4 in this case equal
2 5 5
-2 5 ≥ 1 in this case |x|+3≥|x+3|
in case of negative value of x then |x|+3>|x+3|
Factor the trinomial below.
x2 + 14x + 48
O A. (x+6)(x+8)
B. (x+4)(x+12)
O C. (x-6)(x-8)
O D. (x-4)(x - 12)
Answer:
( x+6)(x+8)
Step-by-step explanation:
x^2 + 14x + 48
What 2 numbers multiply to 48 and add to 14
6*8 = 48
6+8 = 14
( x+6)(x+8)
x² + 14x + 48 [ Given ]
By split middle term ,we get:
=> x² + 8x + 6x + 48
=> x ( x + 8 ) + 6 ( x + 8 )
=> ( x + 6 ) ( x + 8 )
i have 18ones,15hundreds,15tens,and 8 thousands
9668
Explanation:
18 ones, 18x1=18
15 hundreds, 15x100 =1500
15 tens, 15x10=150
8 thousands,8x1000=8000
8x1000=800018+1500+150+8000=9668
Hope this answer correct :)
What is a “real number “
Find the area of a parallelogram with a base of 7 metres and a height of 8 metres. Show full working out
Answer:
[tex]56m^2[/tex]
Step-by-step explanation:
Step 1: Area of Parallelogram Formula
A=bxh
Step 2: Plug in the information and solve
A=7mx8m
A=[tex]56m^2[/tex]
Therefore the area of the parallelogram is [tex]56m^2[/tex]
Answer:
56 Meters Squared
Step-by-step explanation:
Area of a Parallelogram is: [tex]A=b*h[/tex]
We are given the base of 7 meters and the height of 8 meters.
[tex]A=7*8\\\\A=\boxed{56}[/tex]
The area of the parallelogram is 56 square meters.
It takes Erin 4 hours to build a statue and Cathy 6 hours to do the same job. How
many hours would it take them to build a statue working together?
Carlos is using the distributive property to evaluate the expression 14 (49) by using friendlier numbers. His work is shown below. Carlos’s Work 14 (49) Step 1 14 (40 + 9) Step 2 14 (40) + 9 Step 3 560 + 9 Step 4 569 What was the first error that Carlos made?
PLZ HELP ME PLZ PLZ PLZ I NEED HELP
Answer:
The 1st error that Carlos made was in Step 2...
In step 2 , Carlos multiplied 14 only with 40. If he would have multiplied 14 with both 40 & 9 , then it could have been alright.....
What is the midpoint of AB
Answer:
A= (-5, -4)
B = (-3, 3)
x1 = -5 , x2 = -3
y1 = -4 , y2 = 3
[tex]midpoint = ( \frac{x1 + x2}{2} \: \: \frac{y1 + y2}{2} )[/tex]
[tex] = (\frac{ - 5 - 3}{2} \: \: \frac{ - 4 + 3}{2} )[/tex]
= (-4, -0.5)
To multiply a sum by a number, multiply each term inside the parentheses by the number outside the parentheses.
a Simplify
b Integer
c Distributive Property
d Numerical expression
Answer:
Numerical expression
The level of a pond receded at the rate of 4 centimeters per day. Find the change in the water level of the pond after 7 days.
Answer:
28 centimeters
Step-by-step explanation:
The level of the pond is dropping each day by 4 cm. 7 days passed, and each day it was dropping at a constant rate. In order tto find how many centimeters the level of the pond dropped in 7 days, you have to multiply the days passed by the amount dropped each day.
So, 7 days times 4 cm. a day= 28 centimeters dropped.
3. Use completing square method to evaluate 6x2 + 11x +3 = 0
Answer:
-b+or-
[tex] - b - + \sqrt{a {}^{2} - 4ac } \div 2a[/tex]
Nearly x=-1.416
Or x=-0.416
Answer:
x=-1/3 or x = -3/2
Step-by-step explanation:
6x²+11x+3=0
divide through by 6
x² +11x/6 + 3/6 =0
collect like terms that is those with x should be left on one side nd the one without x should be on the other side
x² +11x/6 = -1/2
add the square of the half of the co efficient of B i.e 11x/6 to both sides
(x+11/12)² = 121/144 -1/2
(x+11/12)² = 121-72/144
square root of both sides
x+11/12 =+or - √49/144
x= -11/12 ± 7/12
x= -1/3 or x= -3/2
Tell whether the statement true or false. If it is false, give a counter example.
Can anyone help me with these? Thank you so much if you can!
Answer:
25) true
for example if x is -3 then x^2 will be +9
26) false
for example -3×-3×3 can give you positive answer 27
27) true
because any number when multiplied with 0 will only give you 0 answer
Step-by-step explanation:
One pound of grapes cost a 1.55.Which equation correctly shows a pair of equivalent ratios that can be used to find the cost of 3.5 pounds of grapes
Answer:
x times 1.55
Step-by-step explanation:
3.5 times 1.55 = 5.325
Answer:
5.325
Step-by-step explanation:
You received $112 in all selling paintings. You sold one painting for $27
and the rest for $17 each. Solve the equation below to find x, the number
of $17 paintings you sold.
17x + 27 = 112
Answer:
5
Step-by-step explanation:
17x = 85
17x/17 = 85/17
x = 5
A number is chosen at random from the set {1,2,3,4,5,6,7,8,9,10} find the probability that it is a perfect square
Step-by-step explanation:
Perfect squares = 1, 4,9
Probability = 3/ 10
Plz help me I just started 8th grade.
Answer:
I think this is slope. So for each point you go up 3 units. All of the point should connect into a straight line.
Step-by-step explanation:
Mark Point R on the graph to its coordniates. Do the same to Point D, L and F. after you are done then go back to each point and go up 3 units/points. Then draw a line connecting the 4 points. Then you will have your answer. Hope this helped!
How does mass affect friction?
Plz help
An object of large mass is pulled down into the surface with a greater force than an object of low mass and as a consequence , there is greater friction between the surface of heavy objects than between the surface and the light object
Does anyone know this?
Answer:
-6
Step-by-step explanation:
Hello!
Since we are finding f(-1) we put -1 in for x
2(-1)^2 + 8(-1)
Follow PEMDAS
2 * 1 + 8(-1)
2 * 1 + -8
2 + -8 = -6
The answer is -6
Hope this helps!
Write an equation of the line below.
Answer: y = -2/5x -4
Step-by-step explanation:
First we can notice that the line is not going through the origin but is is going through the y-intercept which is -4.In this case the the equation of the line has be in slope intercept form as if y=mx +b where only m and b is indicated and m is the slope and b is the y intercept. So since we already know the y intercept is -4 we need to find the slope using the points on the line.
The points (0,-4) and ( -5,-2) lies on the line and we could use them to find the slope. To find the slope,we need to find the change in the y coordinates and divide it by the change in the x coordinates.
-4 -(-2) = -2
0 - (-5) = 5
slope: -2/5
So since the slope is -2/5 and the y intercept is -4 then we will have the equation,
y= -2/5x - 4
What is the opposite of 100
Answer:
-100
Step-by-step explanation:
The opposite of any positive number is the same number but negative.
I need help, please help me
Answer:
1)2A/b=h
2)m1=Fgr'2/Gm2
Step-by-step explanation:
Hope it helps you
Evaluate ab – 0.55 when a
1 and b = 5.
use a number line to determine the new balance of Tims account. What number could be added to the expression 43 + (-52) to result in sum of zero Model your answer using a number line.
Answer:
very urgent by the get together his used handcrafted
Step-by-step explanation:
hand i do like anisajish
sanji has a room with a perimeter of 42.5 feet if she wants to hand a curtain along one full side of the room how long dose the curtain need to be
Answer:
The length of the curtain is 10.625 feet
Step-by-step explanation:
The length of the curtain to cover one side of the room depends on the shape of the room
Given a room shape of a square, we have;
Perimeter = 4 × Side length of the room
Length of the curtain = Side length of the room
Therefore;
Perimeter = 4 × Length of the curtain
42.5 feet = 4 × Length of the curtain
Length of the curtain = (42.5 feet)/4 = 10.625 feet
The length of the curtain = 10.625 feet.
What is the perimeter of the given figure? A.19 pie symbol inches B. 24+ 5 pie symbol inches C.29 pie symbol inches D.14 + 5 pie Symbol inches
Answer:
Perimeter of the shape = (14+5π )inchesStep-by-step explanation:
The shape is made up of a semicircle and a right angled triangle.
Perimeter of the shape = perimeter of a semicircle + perimeter of the right angle triangle.
Since perimeter of a circle = 2πr
Perimeter of a semicircle = 2πr/2 = πr wherr r is the radius
r = 10in/2 = 5in
Perimeter of the semicircle = 5π in
Perimeter of a triangle = s1+s2+s3 where s1, s2 and s3 are the sides of the triangle.
We only have 2 sdies of the triangle, hence we need to get the third side using pythagoras theorem.
let s1 = 10in, s2 = 6in
10² = 6²+s3²
s3 = √10²-6²
s3 = √100-36
s3 = √64
s3 = 8in
Perimeter of the triangle = 10in+6in+8in = 24in
Perimeter of the shape = (24in + 5π in) - 10in (10 in was subtracted since it is common to both shapes)
Perimeter of the shape = (14+5π )inches
A researcher at a major clinic wishes to estimate the proportion of the adult population of the United States that has sleep deprivation. How large a sample is needed in order to be 95% confident that the sample proportion will not differ from the true proportion by more than 4%?
Answer: n = 600.25 ≈ 601 ( sample size)
the minimum sample size of the adults in United State who have sleep deprivation is 601
Step-by-step explanation:
Given that;
the confidence level = 95% = 0.05
the Margin of error E = 4% = 0.04
∴ level of significance ∝ = 1 - C.L
∝ = 1 - (95/100)
= 0.05
Z∝/2 = 0.05/2 = 0.025
Z-critical value at 95% confidence level is OR level of significance at 0.025 = 1.96 (z-table)
Now to calculate the sample size, we say
n = (Z(critical) / M.E )² P ( 1 - P)
now we substitute
n = (1.96 / 0.04)² × 0.5 ( 1 - 0.5)
n = 2401 × 0.5 × 0.5
n = 600.25 ≈ 601
Therefore the minimum sample size of the adults in United State who have sleep deprivation is 601
Using the formula for the margin of error, it is found that a sample of 601 is needed.
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the z-score that has a p-value of [tex]\frac{1+\alpha}{2}[/tex].
The margin of error is:
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
95% confidence level
So [tex]\alpha = 0.95[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.95}{2} = 0.975[/tex], so [tex]z = 1.96[/tex].
In this problem:
There is no previous estimate, hence [tex]\pi = 0.5[/tex] is used.The minimum sample size is n for which M = 0.04, hence:[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
[tex]0.04 = 1.96\sqrt{\frac{0.5(0.5)}{n}}[/tex]
[tex]0.04\sqrt{n} = 1.96(0.5)[/tex]
[tex]\sqrt{n} = \frac{1.96(0.5)}{0.04}[/tex]
[tex](\sqrt{n})^2 = \left(\frac{1.96(0.5)}{0.04}\right)^2[/tex]
[tex]n = 600.25[/tex]
Rounding up, a sample of 601 is needed.
A similar problem is given at https://brainly.com/question/25420216
Simplify the polynomial a³+a²+ab
Answer:
a (a^2 + a + ab )
Step-by-step explanation:
Step-by-step explanation:
Step 1:
To simplify this polynomial just take the term a as common
a(a^2+a+b)
Let f(x) = 5x + 12. Find f−1(x)
Answer:
(x-12)/5
Step-by-step explanation:
Answer:
f⁻¹(x) = (x - 12)/5
Step-by-step explanation:
To find the inverse of f(x), you have to switch the places of the x and y. You then have to rearrange the equation so that it is equal to y.
f(x) = 5x + 12
x = 5y + 12
x - 12 = (5y + 12) - 12
x - 12 = 5y
(x - 12)/5 = 5y/5
(x - 12)/5 = y
f⁻¹(x) = (x - 12)/5
Consider triangle GHJ. Triangle G H J is shown. Angle G H J is a right angle. The length of the hypotenuse is 10 and the length of another side is 5. What is the length of line segment HJ?
Answer:
[tex]\bold{\sqrt{75}}[/tex]
Step-by-step explanation:
Given
A [tex]\triangle GHJ[/tex] in which
[tex]\angle GHJ = 90^\circ[/tex]
Hypotenuse = 10
Length of another side = 5
To find:
HJ = ?
Solution:
Kindly refer to the image attached in the answer area.
We know that there are only 3 sides in a triangle.
We are given hypotenuse is 10.
i.e. GJ = 10
To find HJ, Base = ?
So, we are given the side length of GH, perpendicular i.e. 5.
Kindly refer to attached image for further details.
Let us use Pythagorean theorem here.
According to Pythagorean theorem:
[tex]\text{Hypotenuse}^{2} = \text{Base}^{2} + \text{Perpendicular}^{2}\\\Rightarrow GJ^{2} = GH^{2} + HJ^{2}\\\Rightarrow 10^2=5^2+HJ^2\\\Rightarrow HJ = \sqrt{100-25}\\\Rightarrow \bold{HJ = \sqrt{75}}[/tex]
Answer:
hJ = B 5 route 3
Step-by-step explanation:
got it right on edg 2020-2021
What’s the absolute value for this ?
Answer:
The absolute value for x = 1/6
Step-by-step explanation:
Leave |x + 3| alone
2/3|x + 3| = 11/6 + 1/2 ➡ 2/3|x + 3| = 14/6
|x + 3| = 14/6 ÷ 2/3 ➡ |x + 3| = 7/2 now we write two equations
x + 3 = 7/2 or x + 3 = -7/2 first we subtract 3 from all
x = 1/6 or x = -13/6 since we are asked to find the absolute value, the answer would be 1/6
Janelle is in charge of bringing in dry erase markers for everyone in her math group to use to work on a project. She brings 3 markers for each person in her group and 5 extra markers for everyone to share. If Janelle brings in 23 markers in all, which equation represents the information?
Let x represent the number of students in Janelle’s group.
3x = 23 + 5
3x = 23
3x – 5 = 23
3x + 5 = 23
Answer:
3x+5=23
Step-by-step explanation:
Answer:
D. 3x+5=23
Step-by-step explanation: