[tex]\\ \sf\longmapsto 2x^2+x-4=0[/tex]
[tex]\\ \sf\longmapsto 2x^2+x=4[/tex]
[tex]\\ \sf\longmapsto 8(2x^2+x=4)[/tex]
[tex]\\ \sf\longmapsto 16x^2+8x=32[/tex]
[tex]\\ \sf\longmapsto (4x)^2+2(4x)(1)=32[/tex]
[tex]\\ \sf\longmapsto 4x^2+2(4x)(1)+1^2=32+1^2[/tex]
[tex]\\ \sf\longmapsto (4x+1)^2=33[/tex]
[tex]\\ \sf\longmapsto 4x+1=\pm\sqrt{33}[/tex]
[tex]\\ \sf\longmapsto 4x=-1\pm\sqrt{33}[/tex]
[tex]\\ \sf\longmapsto x=\dfrac{-1\pm\sqrt{33}}{4}[/tex]
Help !!!!!!Select the values that make the inequality h < 2 true.
(Numbers written in order from least to greatest going across.)
The required value that makes the inequality h ≤ 2 true are -6, -3, -1, 1, 1.9, 1.99, 1.999, 2.
Given that,
To Select the values that make the inequality h < 2 true.
In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,
Here,
The values that are less than and equal to 2 are, -6, -3, -1, 1, 1.9, 1.99, 1.999, 2.
Thus, the required value that makes the inequality h ≤ 2 true are re, -6, -3, -1, 1, 1.9, 1.99, 1.999, 2.
Learn more about arithmetic here:
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The map slake reads 2 inches =25 miles which distance does 6 inches represent
Answer:
75 miles
Step-by-step explanation:
Step 1: Set up a fraction given the data (Let "x" represent the distance in miles.)
[tex]\frac{25}{2} = \frac{x}{6}[/tex]
Step 2: Divide the given values (Given values are 25 over 2. We are doing this because we need to know the difference between those two figures.)
[tex]\frac{25}{2}\\\\25 \div 2\\\\= 12.5 \:or\: 12\frac{1}{2}[/tex]
Step 3: Multiply the result to the 6 (Since we've found the difference between them by division, we will have to do the opposite operation in order to find the answer.)
[tex]12\frac{1}{2}\times6\\\\= 75[/tex]
Therefore, 75 is the distance in miles.
At a factory, light bulbs are packed in boxes that are then placed in a shipping container.
• Each box is in the shape of a cube.
• Each box has an edge length of foot.
• A shipping container has dimensions of feet by 1 foot by 2 feet.
What is the total number of boxes of light bulbs that the shipping container can hold when completely full?
Answer: 144
Step-by-step explanation: You need to find the volume of the shipping container and divide it by the volume of a box.
2 2/3 x 1 x 2 = 16/3
1/3 x 1/3 x 1/3 = 1/27
16/3 divided by 1/27 is 144.
You are in an airplane 5.7 miles above the ground. What is the measure of BD⌢, the portion of Earth that you can see? Round your answer to the nearest tenth. (Earth's radius is approximately 4000 miles.)
awnser
12
Step-by-step explanation:
The radius of a cylindrical water tank is 4 ft and its height is 10 ft. What is the volume of the tank?
Answer:
160π cubic feet
Step-by-step explanation:
V= πr²h
V= π x 4²x 10
V = 160π cubic feet
Mohammad is flying a kite with a 100 foot string. The kite string makes an
angle of 42° with the ground. Find the height of the kite. Round to the nearest
tenth.
Answer:
A?
Step-by-step explanation:
So sorry if im wrong
Answer:
66.9 ft from the ground
use this if you have a problem like this again
https://www.calculator.net/triangle-calculator.html
WILL GIVE BRAINLIEST
A number n, when divided by 4, gives –10. What is the value of n?
Determine if these values form a right triangle. E
Answer:
They do not.
Step-by-step explanation:
a² + b² = c² c is the hypotenuse
9² + 12² = 17²
81 + 144 = 289
225 ≠ 289
Find the length of side b
B= _m
Answer:
b= 0.09475
Step-by-step explanation:
define gender based violence
Answer:
Step-by-step explanation:
Elder abuse is any action that causes harm or distress to an older person. ...
Sexual violence is any action that results in the loss or removal of sexual autonomy for a person. ...
Stalking is a pattern of harassing behavior or course of conduct directed at a specific person that would place that person in reasonable fear.
Please help me Simplify 1-9÷7+3
Answer :
the answer is -4/5 or -0.8
step-by-step explanation:
1-9/7+3 = -8/10
now simplify that,
-8/2 = -4
10/2 = 5
so we have -4/5 0r -0.8
Answer:
[tex]1-9\div \:7+3\\9\div \:7\\=\frac{9}{7}\\=1-\frac{9}{7}+3\\=\frac{19}{7}\\\frac{19}{7}\\2\frac{5}{7}\\ans:=2\frac{5}{7}[/tex]
hope this helps you
Find the Surface Area of this Prism
Answer:
[tex]54 m^2[/tex] is the correct answer I believe
-1+3cotx
How do I graph this?
Answer:
Step-by-step explanation:
A tree grows exactly one half meter in height per year. The tree is currently 8 meters tall. If someone hammers a nail into the tree at a height of exactly 2 meters, how high will the nail be after 12 years of growth
Answer:
2 meters
Step-by-step explanation:
Given
[tex]a= 8m[/tex] --- initial
[tex]r = \frac{1}{2}m/year[/tex] --- rate
[tex]t = 12\ yrs[/tex]
[tex]Nail = 2m[/tex]
Required
The height of the nail after 12 years
The top of the tree will continue growing at the given rate, however, the height of the nail will remain unchanged.
This is so because when trees grow, they grow from the top; i.e. the heights are increased at the top while the bottom remains unchanged.
Hence, the height of the nail after 12 years in 2m
HELP TIMED----AND NO BOTS WITH /BIT
A segment which goes through two points of a circle is a …
Arc
Chord
Diagonal
Radius
Secant
Huilan is 13 years younger than Thomas. The sum of their ages is 33. What is Thomas's age?
Answer:
Thomas is 20 years old
Step-by-step explanation:
33 - 13 = 20
In a place 100 soldiers had enough food for 60 days .how many soldiers leave the place so that food long last for 80 days
Answer:
48 soldiers leave the place.
Step-by-step explanation:
100/60=80/x100x=4800x=4800/100x=48hope it helps.
stay safe healthy and happy.What are the angles of x and y?
Answer:
x = 55
y = 70
Step-by-step explanation:
x = 180-125
= 55
y = 180-(55x2)
= 180-110
= 70
Feel free to mark it as branliest :D
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Find the Volume.
10 points
7 m
5 m
4 m
Answer:
140 m^3 = 7 x 4 x 5
Step-by-step explanation:
Volume = H * W * L
The height of the average barn owl is 3 times the height of the average tree swallow. If x is the height of the tree swallow, which expression BEST represents the height of the average barn owl?
x+3
x−3
x×3
x÷3
Answer:
C; x*3
Step-by-step explanation:
Help please need answer now
Answer:
I'm getting the answer false
Step-by-step explanation:
See the steps below:)
Solve the area
I hate geometry
Answer:
Step-by-step explanation:
Area of a llgm = base * height
Base = 20 ft.
Height = 10 ft.
Area = 20*10 = 200 ft.
Hope it helps u
Please mark as brainliest
Thank You
Answer:
200ft
Step-by-step explanation:
Area of a parallelogram is b*h .
base, b=20ft
height, h= 10ft
Therefore, area= 20*10=200ft
Construct the indicated confidence interval for the difference in proportions. Assume that the samples are independent and that they have been randomly selected.A marketing survey involves product recognition in New York and California. Of 558 New Yorkers surveyed, 193 knew the product while 196 out of 614 Californians knew the product. Construct a 99% confidence interval for the difference in the proportions of New Yorkers and Californians who knew the product.
Answer:
CI 99% = ( - 0.0009 ; 0.0541 )
Step-by-step explanation:
Sample 1 New Yorkers
sample size n₁ = 558
x₁ = 193
p₁ = x₁/n₁ = 193/ 558 p₁ = 0.3458 q₁ = 1 - p₁ q₁ = 1 - 0.3458
q₁ = 0.6542
Sample 2 Californians
sample size n₂ = 614
x₂ = 196
p₂ = x₂/n₂ = 196 / 614 p₂ = 0.3192 q₂ = 1 - p₂ q₂ = 1 - 0.3192
q₂ = 0.6808
CI 99 % means significance level α = 1 αα% α = 0.01
α/2 = 0.005
In z-table we look for z score for 0.005 z (c) = 2.57
CI 99 % = [ ( p₁ - p₂ ) ± z(c) * √( p₁*q₁)/n₁ + ( p₂*q₂)/n₂
p₁ - p₂ = ( 0.3458 - 0.3192 ) = 0.0266
√( p₁*q₁)/n₁ + ( p₂*q₂)/n₂ =√ 0.3458*0.6542)/558 + 0.3192*0.6808)/614
√( p₁*q₁)/n₁ + ( p₂*q₂)/n₂ = √ 4.05*10⁻⁴ + 3.54 * 10⁻⁴
√( p₁*q₁)/n₁ + ( p₂*q₂)/n₂ = 10⁻² * √7.59 = 10⁻² * 2.75
Then:
CI 99 % = 0.0266 ± 2.75 * 10⁻²
CI 99% = 0.0266 ± 0.0275
CI 99% = ( - 0.0009 ; 0.0541 )
An exercise scientist wanted to test the effectiveness of a new program designed to increase the flexibility of senior citizens. They recruited participants and rated their flexibility according to a standard scale before starting the program. The participants all went through the program and had their flexibility rated again after a month. The scientist wants to test if the flexibility ratings are significantly higher after a month of the program. Assume that these participants can be considered a representative sample and that all other necessary conditions for inference were met. Which of these is the most appropriate test and alternative hypothesis?
a) Paired t test with H : Mafter before > 0
b) Paired t test with H.: Hafier-before +0
c) Two-sample t test with H: Mbefore > Hafter
d) Two sample t test with H.: wore Manter
e) Two sample t test with H: Meedore Aladder
Answer:
a) Paired t test with H : Mafter before > 0
Step-by-step explanation:
As we do not know anything about variances we will perform a paired t test.
We want to check the effectiveness of the new program designed to increase the flexibility of senior citizens.
So we will perform a test where the mean after the program is greater than the mean before the program.
The best option is a.
Option a defines both objectives paired t test and difference of mean after and mean before is greater than zero.
Other options are not correct as they miss out one of the both objectives.
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Solve for x: 5x = 25
20
25
( 5
0.30
Answer:
5x = 25|:5
x = 5
Graph the linear function.
g(x) = -1/2x +2
Answer:
UwU
Step-by-step explanation:
Hoped I helped
What is the image of (-1, 1) when reflected across the line y = x?
Answer:
(1, -1)
Step-by-step explanation:
I can confirm that it is (1, -1)
Tammy has seven pies Bryan and his friends a 2 10/12 of the pies Sharon a 1/3 of a pie how much does Tammy have left
Answer:
4 7/15
Step-by-step explanation:
7- 2 10/12- 1/3 = 4 7/15
The difference of two times a number and five is eight more than the number.
find the equation and solve for x
Answer:
x = 13
Step-by-step explanation:
The difference of two times a number and 5: [tex]2x-5[/tex]
Eight more than a number: [tex]x + 8[/tex]
You can create the following equality with this:
[tex]2x - 5 = x + 8[/tex]
Which is solved as follows:
[tex]2x-5=x+8\\2x-x=8+5\\x=13[/tex]
Answer:X= 13
Step-by-step explanation:
Step 1:
Let the unknown number be x
Such that the difference of two times a number and five is represented mathematically as 2x -5
And eight more than the number can be expressed as
8 +x
Joining the two expressions to get an equation becomes 2x-5= 8+x
Step 2: Solving for x
2x-5= 8+x
We first find like terms and solve
2x-x=8+5
We are now left with
x=13 as the answer.
See related question and answer here: https://brainly.com/question/17882257
There is a population of millions of computer chips produced at a factory. The production process is so precious that it is known that the population standard deviation for their mass is 2 milligrams. We want to get a 95% confidence interval for the mass of a single microchip produced here. So we randomly sample 100 microchips. The sample average mass turns out to be 1972 milligrams. They found this by placing them all on a scale at once and finding a mass of 197.2 grams, and then dividing by 100. You don't think they would actually weigh each one individually, do you? That would be super annoying.
Required:
Find a 95% confidence interval for the mass of a microchip produced at this factory.
Answer:
The 95% confidence interval for the mass of a microchip produced at this factory is between 1971.608 milligrams and 1972.392 milligrams.
Step-by-step explanation:
We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:
[tex]\alpha = \frac{1 - 0.95}{2} = 0.025[/tex]
Now, we have to find z in the Z-table as such z has a p-value of [tex]1 - \alpha[/tex].
That is z with a pvalue of [tex]1 - 0.025 = 0.975[/tex], so Z = 1.96.
Now, find the margin of error M as such
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.
[tex]M = 1.96\frac{2}{\sqrt{100}} = 0.392[/tex]
The lower end of the interval is the sample mean subtracted by M. So it is 1972 - 0.392 = 1971.608 milligrams
The upper end of the interval is the sample mean added to M. So it is 1972 + 0.392 = 1972.392 milligrams
The 95% confidence interval for the mass of a microchip produced at this factory is between 1971.608 milligrams and 1972.392 milligrams.