A number line from negative 5 to 5 in increments of 1. An open circle is at 3 and a bold line starts at 3 and is pointing to the right. So the correct answer is option B.
What is inequality?inequality the relationship between two expressions that are not equal, employing a sign such as ≠ “not equal to,” > “greater than,” or < “less than.”.
We can start by dividing the inequality by 3 to get ...
8 -4x < 2(x -5)
And we can divide by 2 to simplify further to ...
4 -2x < x -5
Now, we can add 2x+5, which gives ...
9 < 3x
and then divide by 3 again:
3 < x
Therefore number line from negative 5 to 5 in increments of 1. An open circle is at 3 and a bold line starts at 3 and is pointing to the right. So the correct answer is option B.
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Write the word phrases into an algebraic expression : 4 less than 5 times a number "p"
what will be the exponent of ten in quotient
Answer: 8
Step-by-step explanation:
We know that:
[tex]\frac{10^{12}}{10^{4}}=10^{12-4}=10^{\boxed{8}}[/tex]
Belfast Giants have played 5 matches and the mean number of goals scored is 3
When they play the 6th match, the mean increases to 4.
Answer:
2 goals
Step-by-step explanation:
After 5 games the team scored 1.8*5=91.8∗5=9 goals.
After 6 games the team scored 9+3=129+3=12 goals.
The mean after 6 games is \frac{12}{6}=2
6
12
=2 goals.
The loudness, L, measured in decibels (Db), of sound intensity, I, measured in watts per square meter, is defined as L = 10 log StartFraction I Over I 0 EndFraction, where I 0 = 10 Superscript negative 12 and is the least intense sound a human ear can hear. What is the approximate loudness of a dinner conversation with a sound intensity of 10–7?
The correct option is Option D: the approximate loudness of a dinner conversation will be 50Db with a sound intensity 10⁻⁷.
The loudness L, ( which is measured in decibels (Db)), of the sound of the intensity I, can be calculated in watts per square meter,
L = 10 log(I/I₀)
where I₀ = 10⁻¹² which is the least intensity that a human can hear.
The sound intensity of a dinner conversation= I= 10⁻⁷
Loudness L of that conversation = 10 log (10⁻⁷/10⁻¹²)
= 10 log(10⁻⁷⁻⁽⁻¹²⁾)
= 10 log(10⁻⁷⁺¹²)
= 10 log(10⁵)
= 10*5
= 50 Db
Therefore the correct option is Option D: the approximate loudness of a dinner conversation will be 50Db with a sound intensity 10⁻⁷.
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write a formula that will help eric determine how much the potatoes he buys will cost in bulk.
t = total price
p = price for kilograms
k = number of kilograms of food
[tex]t = p*k[/tex] is the formula that will help eric determine how much the potatoes he buys will cost in bulk.
What is Advance algebraic Equations?An equation obtained by equating to zero a sum of a finite number of terms each one of which is a product of positive integral powers (including the zero power) of the variables.
According to the question,
In order to calculate the price of the fruit we need to multiply the amount of food in kilograms by the price per kilogram of that specific food.
Since we are given specific variables for each piece of information needed for the variable.
All we need to do now is to create the formula to calculate the total price of the potatoes that Eric needs to buy.
[tex]t = p*k[/tex]
By using this formula lets Eric calculate the total price of an order of fruit or vegetables.
Therefore,
A formula that will help eric determine how much the potatoes he buys will cost in bulk is [tex]t = p*k[/tex]
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Express (x-8x)^2 as a trinomial in standard form
Answer:
(x - 8x)²
(x - 8x) (x - 8x).
using the identity
( a - b) ² = a² + b² - 2ab
a = x
b = 8x
x² + 64x - 16x²
If a is a negative number, then a
always, always
and b is a negative number, then product ab is ?
Answer:
if a and b are both negative numbers, the product is a positive number
What is the name of an item that you will buy only once?
The name of an item that a person can only buy once in one's lifetime are:
A strong quality outdoor trash can.A high-quality knife set.Can opener.Corkscrew.Measuring cups, etc.What are lifetime products?These are known to be a product that one can buy and a person can use for a lifetime until they grow tired of using it.
Note that not all product can or need to last forever but there are a lot of products that can actually do. some of which are:
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Which are factors of x² - 4x - 5? Select two options.
(x - 5)
0 (x-4)
0 (x-2)
0 (x + 1)
0 (x + 5)
Answer:
(x-5) & (x+1)
Step-by-step explanation:
Answer:
(x - 5) and (x + 1)
Step-by-step explanation:
x² - 4x - 5
consider the factors of the constant term (- 5) which sum to give the coefficient of the x- term (- 4)
the factors are - 5 and + 1 , since
- 5 × + 1 = - 5 and - 5 + 1 = - 4 , then
x² - 4x - 5 = (x - 5)(x + 1)
Find the equation of the parabola with its focus at (6, 2) and its directrix y = 0
Answer:
y= 1/4 x-62+1
Step-by-step explanation:
Which statement is true regarding the graphed functions?
Answer:
4th option
Step-by-step explanation:
the solution is at the point of intersection of the 2 lines, that is
(- 2, 4 ) where x = - 2 , then
f(- 2) = g(- 2)
Answer: D. or f(–2) = g(–2)
Step-by-step explanation:
In the given graph, the two lines intersects at x = -2
And intersection point is that point, where the y values of the two graphs are equal.
That is: f(x) = g(x)
And at x=-2, the y values are equal. So:
f(-2) = g(-2)
A bike store rents bikes for $9 an hour in addition to a helmet rental fee of $15. If
Emmanuel paid $51, for how many hours did he rent the bike?
Answer:
4 hours
Step-by-step explanation:
First we need to subtract the one pay fee (the helmet rental fee, $15)
So 51 - 15 = 36
Then we need to divide 36 by the amount of money it costs for each hours to find how many hours he rented the bike
So 39/9 = 4
Which of the following statements is false?
In quadrilateral PQRS, ∠P and ∠S are opposite angles.
a car travels along the highway to little rock a steady speed. when it begins it is 280 miles after 4 hours it 100
The function that describes the car's distance from little rocks would be option A; y = 45x + 280
What is a system of equations?A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.
Point 1:
(x, y) = (0, 280)
Since we are told the car's initial position is 280 miles in the time 0 h
Point 2:
(x, y) = (4, 100)
Since we are told the car's final position is 100 miles after 4h.
Let's find the Slope :
m = 45
Now, the equation of the line is:
y = mx + b
y = 45x + 280
Then, The function that describes the car's distance from little rocks would be option A; y = 45x + 280
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If a data set has many extremely small data values, than the median will be
Answer:
If a data set has many extremely small data values, than the median will be the same.
What is the median?The middle number in a given sequence of number, taken as the average of the two middle numbers when the sequence has an even number of numbers.
The median is resistant to change no matter extremely small or large values.
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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:
3/2
Step-by-step explanation:
A river flows at 2m/s. Juan’s boat can travel twice as fast down the river as it can go up the river. How fast can the boat go in still water?
Answer: 2m/s
Step-by-step explanation:
The boat goes twice as fast down the river, which means it goes twice as slow up the river.
Because the river flows at 2m/s, I think the answer is 2m/s
The drama teacher wants to know whether more families of students at the school would attend a musical or a comedy.
Which of the following survey methods will allow the drama teacher to make a valid conclusion about which genre of performance more families would attend?
Choose 1 answer:
Choose 1 answer:
To determine whether more families of students at the school would attend a musical or a comedy , she should Assign a number to each family, use a computer program to select 20 random numbers , Option A is the right answer.
What are different survey methods ?Some of the survey methods are Online Survey , Telephonic survey , Kiosk Survey , Face to Face Survey etc.
It is given that there are n number of families ,
To determine whether more families of students at the school would attend a musical or a comedy.
To do so she has to do random sampling from the group of families.
So , she should Assign a number to each family, use a computer program to select 20 random numbers.
Therefore Option A is the right answer.
The complete question is
The drama teacher wants to know whether more families of students at the school would attend a musical
or a comedy.
Which of the following survey methods will allow the drama teacher to make a valid conclusion about
which genre of performance more families would attend?
Choose 1 answer:
Assign a number to each family, use a computer program to select 20 random numbers
between 1 and the total number of families, and ask the families selected.
For each letter of the alphabet, assign a number to each family whose last name begins with
that letter, use a computer program to select a random number between 1 and the total
number of families whose last name begins with that letter, and ask the family selected.
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Assume that y varies inversely as x. if y=8 when x=-2 find y when x=4
The value of y will be -4 when the value of x is 4.
What is an equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
The equation of the given condition will be given as:-
y = [tex]\dfrac{k }{x}[/tex]
At y = 8 when x = -2 so
8 = [tex]\dfrac{k}{-2}[/tex]
k = -16
The value of y at x = 4 will be calculated as:-
y = [tex]\dfrac{-16}{4}=-4[/tex]
Therefore the value of y will be -4 when the value of x is 4.
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find the measure of major arc RUT. shiw your work please.
Answer:
well not sure but I think it is 8° or 17.8°
Kara wants to order lunch for her friends. She'll order 4 rice bowls and a $5
child's meal for her brother. Kara has $29. How much can she spend on each
rice bowl if they are all the same price?
Choose two answers: one for the inequality that models this situation and
one for the correct answer.
Answer:
4x+5 ≤29. Answer = $6 or less
Step-by-step explanation:
1. x= the price of the rice bowl
2. 4x= price of 4 rice bowls
3. So we get 4x+5(The total amount of their purchase)
4. Kara has only $29 so she can spend that much
5. The inequality 4x+5≤29 represents how much can she spend on each rice bowl.
6. The answers include $6,$5,$4,$3,$2, and $1 or less.
Find the base of an isosceles triangle whose area is 60 cm² and the length of one of its equal sides is 13 cm.
Answer:
Base = 24 cm or 10cm
Step-by-step explanation:
REMEMBER:
An isosceles triangle ABC with base BC = ‘b' & height AD = ‘h' & its equal sides =13 cm & area = 60 cm²
Using the formulas
[tex]A=\frac{bh_b}{2}[/tex]
[tex]h_b=\sqrt{a^2-\frac{b^2}{4} }[/tex]
There are 2 solutions for [tex]b[/tex]
[tex]b=2\sqrt{2} \frac{A}{\sqrt{a^2+\sqrt{a^4-4A^2} } } =2*\sqrt{2} *\frac{60}{\sqrt{13^2+\sqrt{13^4-4*60^2} } }[/tex] ≈ [tex]10cm[/tex][tex]b=2\sqrt{2} \frac{A}{\sqrt{a^2+\sqrt{a^4-4A^2} } } =2*\sqrt{2} *\frac{60}{\sqrt{13^2-\sqrt{13^4-4*60^2} } }=24cm[/tex]
Less complex:
Area of a triangle = 1/2 * b * h = 60
=> h = 120/b
In right triangle ABD
13² = h² + b² /4 ( by Pythagoras law)
=>169 = 120²/b² + b²/4
=>676 b² = 57600 + b^4
=> b^4 - 676 b² + 57600 = 0
=> b² = 676 +- √(676² - 4*57600) / 2
=> b²= 676 +- √(226576) /2
=> b² = (676 +- 476 )/2
=> b² = 1152/2 , 200 /2
=> b² = 576 , 100
=> b = 24, 10
So, Base = 24 cm or 10cm
Select from the drop-down menu to create a statistical question Susan could ask her friends in a survey.
How many
pushups can you do
days does melanie exercise
bones are in the human body
pounds are in a kilogram
The statistical question that Susan could ask her friends in a survey is that How are push-ups important for the body?
What are statical questions?It should be noted that statistical or research questions are the questions that an individual seeks answers to.
In this case, the statistical question that Susan could ask her friends in a survey is that How are push-ups important for the body?
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Answer: 2. How many pushups can you do
I got 100% on my online homework and here is proof.
Please mark me brainliest : D
x^{2} +5x+6
[tex]x^{2} +5x+6[/tex]
Answer: No answer
Step-by-step explanation:
You can calculate for x, because the equation isn't equal to anything.
which is NOT an arithmetic sequence
-7,0,7,14
0,5,1,1.5
10,6,2,-2
2,4,8,16
Answer:
2,4,8,16
Step-by-step explanation:
2,4,8,16
difference is multiplied by 2
Determine the endpoints of the midsegment connecting side YX and side YZ
Answer:
endpoint of midsegment connecting side YX is (4, 3)
endpoint of midsegment connecting side YZ is (5, -1)
Step-by-step explanation:
Mid point of a line segment - it is the middle point of a line segment. It is equidistant from both endpoints and it is the centroid both of the segment and of the endpoints.
according to the graph;
Y is (1, 2), Z is (9, -4), X is (7, 4)
therefore using mid point formula we can determine the endpoints of midsegments connecting side YX and YZ
if (x , y) and (x1, y1) are the endpoints of a line then;
The coordinates of mid point are given by the formula = (x+x1)/2, (y+y1)/2
using the above formula mid point of YX is
(7+1)/2, (4+2)/2 = (4, 3)
and the mid point of line YZ is
(9+1)/2, (-4+2)/2 = (5, -1)
hence the answer is (4,3) and (5, -1)
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A T-shirt that costs $12 is now on sale for 15% off. What is the sale price of the t-shirt?
Answer:
$14.18
Step-by-step explanation:
just multiply 12 with 100 for percentage and divide it by 85 because there was 15 percent off and you'll get the answer
Find the volume of this sphere.
Use 3 for pie.
V≈ [?]cm³
V = πr³
10 cm
Answer:
V ≈ 500 cm³
Step-by-step explanation:
Volume of a sphere: ⁴⁄₃πr³ (where r is the radius)
π (pi) ≈ 3r (radius) = diameter/2 ⇒ 10/2 = 5 cmSubstitute the given values into the formula:
⇒ V = ⁴⁄₃πr³
⇒ V ≈ (⁴⁄₃)(3)(5)³
⇒ V ≈ (⁴⁄₃)(3)(125)
⇒ V ≈ (⁴⁄₃)(375)
⇒ V ≈ 500 cm³
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Given: [tex]\textsf{Diameter = 10 cm, Volume = 4/3} * \pi*r^3[/tex]
Find: [tex]\textsf{Determine the volume}[/tex]
Solution: First we need to determine the radius by dividing the diameter by 2 and after that we can plug in the information into the equation and simplify it until we get the volume.
Determine the radius
[tex]\textsf{Radius = Diameter / 2}[/tex][tex]\textsf{Radius = 10 cm / 2}[/tex][tex]\textsf{Radius = 5 cm}[/tex]Plug in the values
[tex]\textsf{Volume = 4/3 } * \pi*r^3[/tex][tex]\textsf{Volume = 4/3 } * 3 * (5\ cm)^3[/tex]Simplify the expression
[tex]\textsf{Volume = (4 * 3)/3} * (5\ cm)^3[/tex][tex]\textsf{Volume = 4} * (5\ cm)^3[/tex][tex]\textsf{Volume = 4} * 125\ cm^3[/tex][tex]\textsf{Volume = } 500\ cm^3[/tex]After completing the steps we were able to determine that volume of the sphere that was provided is 500 cubed centimeters.
Horizontal lines n and m are intersected by lines q and p. At the intersection of lines q and n, the uppercase right angle is angle 4. At the intersection of lines q and m, the uppercase left angle is angle 1. At the intersection of lines p and n, the bottom left angle is angle 3. At the intersection of lines p and m, the uppercase left angle is angle 2.
If angle 1 is 110°, what would the other angle measures have to be in order for m || n and
q || p?
Angle 2 = °
Angle 3 = °
Angle 4 =
The values of the angles based on the information will be:
Angle 2 = 110°
Angle 3 = 70°
Angle 4 = 70°
How to calculate the angles?From the information given, angle 1 is 110° and the horizontal lines n and m are intersected by lines q and p.
In this case, it should be noted that vertcally opposite angles are equal. Hence, angle 2 is also 110°.
Angle 3 will be:
= 180° - 110° = 70° (angle on a straight line).
Angle 4 will also be 70° as a vertically opposite angle to angle 3.
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Answer:
The values of the angles based on the information will be:
Angle 2 = 110°
Angle 3 = 70°
Angle 4 = 70°
Step-by-step explanation:
2. Which of the following is true for the relation f(x) = x² + 8
only the equation is the function Only the in inverse is a function Neither the equation nor it’s inverse is a function Both the equation and it’s inverse are function
Answer:
Only the equation is the function
