Answer:
x= - [tex]\frac{1}{2}[/tex]
Step-by-step explanation:
Given
- 6x + 9 - 4x = 14, that is
- 10x + 9 = 14 ( subtract 9 from both sides )
- 10x = 5 ( divide both sides by - 10 )
x = [tex]\frac{5}{-10}[/tex] = - [tex]\frac{1}{2}[/tex]
Use the piecewise function to evaluate the following.
1.
(-2x² – 1,
X2
2
-
4,
X2
5
a. f(0) =
b. f(5) =
c. f(2)=
d. f(-3) =
I need help pls! :/ anyone know the answer to this?
Answer:
I think it is a
Step-by-step explanation:
Taino went to a professional basketball game. He spent $54.85 for a ticket, $4.99 for a hot dog, and $2.15 for a soda. What is the total amount that he spent? Use mental math to find the sum.
Answer:
$61.99
Step-by-step explanation:
To find the total, we need to add.
Let's start with the ticket and the soda.
54+2=56
0.85+0.15=1
56+1=57
Next, add the price of the hot dog.
4.99 rounds to 5, so 57+5=62
62-0.01=61.99 (here we subtracted the one cent we originally rounded up)
$61.99
Hope this helps :-)
Answer:
61.99
Step-by-step explanation:
NEED HELP WITH THIS!
Answer: See below
Step-by-step explanation:
a.
To solve for h, we want to use algebraic properties to isolate h.
[tex]A=\frac{1}{2}h(b_1 +b_2)[/tex] [multiply both sides by 2]
[tex]2A=h(b_1 +b_2)[/tex] [divide both sides by b₁+b₂]
[tex]\frac{2A}{b_1+b_2} =h[/tex]
[tex]h=\frac{2A}{b_1+b_2}[/tex]
---------------------------------------------------------------------------------------------
b.
To solve for b₂, we first multiply both sides by 2. Then, we divide both sides by h. This leaves us with [tex]\frac{2A}{h} =b_1+b_2[/tex]. To get b₂, you subtract both sides by b₁.
Answer:
h=2A/(b1+b2)
and
b2=2A/h-b1.
A scientist collected two sample sets of snowfall data. Which statistic should he use to compare the spread of the two
sets of data?
3
O median
O mode
mean
• skandard deviation
Answer:
He would use mean as a statistic to compare the spread of the two sets of data.
Step-by-step explanation:
What is mean?
Arithmetic Mean represents a number that is obtained by dividing the sum of the values of a data set by the total number of values
What is statistic?
A statistic (singular) or sample statistic is any quantity computed from values in a sample which is considered for a statistical purpose.
The mean takes into account the whole spread of the data among the various statistic and is helpful in comparing data.
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Answer:
D. standard deviation
Step-by-step explanation:
100% on edge
Plz I need it now I am stuck
Answer:
116
Step-by-step explanation:
When Joseph first starts working at a grocery store, his hourly rate is $10. For each year he works at the grocery store, his hourly rate increases by $0.50. Joseph's hourly rate R, in dollars, is a function of t, the number of years he works at the grocery store. Write the function's formula.
Answer:
R(t)=10+0.50t
Step-by-step explanation:
His rate is based on time, for the first side of the equation.
His beginning pay would be 10, so 10 would act as the y intercept. The rate increases by 0.50, so for every year (t) it would increase by 0.50, why you add 0.50 and multiply by the amount of years he works.
4(5x – 9) = -2(x + 7) solve and justify each step
Step-by-step explanation:
4(5x-9)=-2(x+7)
4*5x-4*9=-2*x-2*7
20x-36=-2x-14
20x+2x=-14+36
22x=22
x=22/22
x=1
185=-5(10r+3) please help me with this question
Steps to solve:
185 = -5(10r + 3)
~Distribute right side
185 = -50r - 15
~Add 15 to both sides
200 = -50r
~Divide -50 to both sides
-4 = r
Best of Luck!
Answer:
r=-4
Step-by-step explanation:
185= - 5 10 r + 3
37= 10 r + 3
10r = - 3 - 37
10 r = - 40
how is scientific notation used in the real world
Answer:
Scientific notation is used to write very large or very small numbers using less digits. ... See how scientists use this notation to describe astronomical distances, such as the distance between planets, or microscopic distances, such as the length of a blood cell.
Step-by-step explanation:
These are just a few examples of how scientific notation is used in the real world. Its versatility allows scientists, engineers, mathematicians, and professionals from various disciplines to work with numbers efficiently and communicate effectively across different scales.
Scientific notation, also known as exponential notation, is widely used in various fields to express very large or very small numbers in a more convenient and concise format. Here are some examples of how scientific notation is used in the real world:
Astronomy: Scientific notation is essential in astronomy to represent the vast distances between celestial objects. For instance, the distance between the Earth and the Sun is approximately 93 million miles or 1.496 × 10²kilometers.
Physics: Scientists often use scientific notation to express the values of physical constants, such as the speed of light (2.998 × 10^8 meters per second) or the Planck constant (6.62607015 × 10^-34 joule-seconds).
Chemistry: Scientific notation is commonly used in chemistry to express the magnitude of extremely small or large quantities of substances. For example, Avogadro's number, which represents the number of atoms or molecules in one mole of a substance, is approximately 6.022 × 10².
Medicine: In medical and biological sciences, scientific notation is employed to represent quantities such as cell counts, enzyme activity, or concentrations of substances. It allows scientists and healthcare professionals to work with numbers that span a wide range, from tiny quantities to large-scale measurements.
Finance and Economics: Scientific notation is useful in financial and economic calculations, especially when dealing with large numbers such as national debt, gross domestic product (GDP), or company revenues. It simplifies the representation and manipulation of these values.
Engineering: In various engineering disciplines, scientific notation is used to express measurements and quantities, such as distances, weights, electrical currents, and voltages. It enables engineers to work with both very large and very small values encountered in their calculations and designs.
Computer Science: Scientific notation is employed in computer science to represent large or small numbers in computer programming. It is particularly useful when dealing with values that exceed the capacity of standard data types or when expressing very small probabilities or error values.
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HELP ME PLEASE DUE IN 5 MIN
Answer:
Step-by-step explanation:
im pretty sur ethe answer is 58... i havent done this is 3 yeras so if its wrong sorry
Which one is it? Help
The answer would be letter B.
Is 0.45 repeating an integer
Answer:
Yes
Step-by-step explanation:
Short cut: write down the recurring digitswrite a 9 for each recurring digit.
the circumference of a circle is 264 cm find its area
Answer:
5544 cm²
Step-by-step explanation:
Radius of circle = r
Circumference = 2πr
2πr = 264
22/7*r = 132
r = 132*7/22
= 42 cm
Area = πr²
= 22/7*42*42
= 5544 cm²
Find the height of triangle whose are is 1500m2 and base 7.5 cm
Answer:
x = 400 m^2
Step-by-step explanation:
[tex]\frac{1}{2}(7.5cm * x) = 1500m^2 \\\frac{1}{2}(7.5cm * x) = 150,000cm^2 \\7.5cm * x = 300,000cm^2 \\x = 40,000 cm^2\\x = 400 m^2[/tex]
Does anyone understand?? Consider the set {2, 1, 3, 4}. How many proper subsets could be formed from this set?
If a set contains ‘n’ elements, then the number of proper subsets of the set is 2^n - 1.
In this problem,
n = 4
2^4 - 1 = 16 - 1 = 15 proper subsets
Sparkle Cleaners uses 2 3 of a jug of window cleaner in 3 weeks. How much window cleaner do they use in 1 week? Simplify your answer and write it as a proper fraction, mixed number, or whole number.
Answer:
7⅔ window cleaner
Step-by-step explanation:
23 =3w
x= 1w
3x =23
x= 7⅔ window cleaner
At a grocery store, Rick bought 4 loaves of bread and 3 gallons of milk for $20. Danny bought 6 loaves of bread and 2 gallons of milk for $25. Identify the cost of a loaf of bread and a gallon of milk
Hey there! I'm happy to help!
Let's call the cost of a bread loaf b and the cost of a milk gallon m. Here is the info we have.
4b+3m=20
6b+2m=25
We solve one equation for b or m (we will solve the first one for b.
4b+3m=20
Subtract 3m from both sides.
4b=20-3m
We divide both sides by 4.
b=5-3/4m
We plug this value of b into the second equation to solve for m.
6(5-3/4m)+2m=25
We use distributive property to undo the parentheses.
30-4.5m+2m=25
We combine like terms.
30-2.5m=25
We subtract 30 from both sides.
-2.5m=-5
We divide both sides by -2.5
m=2
We plug this m into one of the original equations to find b.
4b+3(2)=20
4b+6=20
Subtract 6 from both sides.
4b=14
Divide both sides by 4.
b=3.5
So, a loaf of bread costs $3.50 and a gallon of milk costs $2.00.
Have a wonderful day!:D
Help please I don’t know the answer and the teacher didn’t explain
Answer:
Step-by-step explanation:
[tex]\frac{-4d^{2}+15d^{2}}{5}=\frac {11d^{2}}{5}\\\\=\frac{11*1^{2}}{5}\\\\=\frac{11}{5}\\\\=2\frac{1}{5}[/tex]
Angle B = 90 in triangle ABC. BM is altitude to AC. AB = 10 and AM = 2.5. Find MC
Answer:
MC =37.5
Step-by-step explanation:
In [tex] \triangle ABC,\: \angle B = 90\degree [/tex] and [tex] BM \perp AC.[/tex]
[tex] \therefore \angle AMB = 90\degree [/tex]
By Pythagoras Theorem:
[tex]AM^2 + BM^2 = AB^2 \\
BM^2 = AB^2 - AM^2 \\ BM^2 = {10}^{2} - {2.5}^{2} \\ BM^2 = 100 -6.25 \\ \red{BM^2 = 93.75} \\ now \: by \: geometric \: mean \: theorem : \\ BM^2 =AM \times MC \\ 93.75 = 2.5\times MC \\MC = \frac{93.75}{2.5} \\ \huge \orange{ \boxed{ MC =37.5}} \\ [/tex]
If BD=7x-10, BC=4x-29,and CD=5x-9 what is x ?
From the question, we know that the sum of BC and CD equals BD.
BD = BC + CD = 7x - 10
BC = 4x - 29
CD = 5x - 9
Let's set BC and CD equal to BD
4x - 29 + 5x - 9 = 7x - 10
Combine like terms on the left side.
9x - 38 = 7x - 10
Add 38 to both sides and subtract 7x from both sides.
2x = 28
Divide both sides by 2
x = 14
Answer:
Step-by-step explanation:
Hope this helps
Adam was learning to play a new a board game. He spun the spinner 5 times, and each time it landed on "Go back 4 spaces." How did the position of Adam's game piece change over these 5 spins?
Answer: -20 spaces
Step-by-step explanation:Hello! I hope this helped you out :)
The wholesale price for a pillow is 7.50 . A certain department store marks up the wholesale price by 70% . Find the price of the pillow in the department store. Round your answer to the nearest cent, as necessary.
The price of the pillow in the department store is $12.75
The wholesale price of the pillow= 7.50
The store mark up price was increased by 70
The price can be calculated as follows
70/100 × 7.5
= 0.7 × 7.5
= 5.25
5.25 + 7.50
= 12.75
Hence the price of the pillow is $12.75
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Point g is on line segment FH. Given FG=5x+2, GH= 3x-1, and FH= 9, determine the numerical length of FG.
Answer:
Step-by-step explanation: fg + Gh = fh
8x+1=9
8x=8
X=1
The numerical length of the line segment FG is 7 units.
Given that, FG=5x+2, GH= 3x-1, and FH= 9.
We need to find the numerical length of FG.
What is a line segment?A line segment is a part of a line that has two endpoints and a fixed length. It is different from a line that does not have a beginning or an end and which can be extended in both directions.
Now, FH=FG+GH
⇒9=5x+2+3x-1
⇒8x+1=9
⇒8x=8
⇒x=1
So, FG=5x+2=7
Therefore, the numerical length of the line segment FG is 7 units.
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Which expression is a representation of the following:
+4
-7
A.4+ (-7) = - 3
B.7-4=3
C.4 + 7 = 11
D.4 + (-7) = 3
what is good for your health
Answer:
Exercise, 8 hrs of sleep, healthy diet with lots of fruits and vegetables are all good for your health
Step-by-step explanation:
Could someone help me out, I’m not sure how to do these :,)
Answer:
1.) Reflection over y=1
2.) Translation rule: (x-5, y-3)
3.) Reflection over the y axis
4.)Translation rule: (x-4, y+1)
Step-by-step explanation:
Complete each equation with a number that makes it true.4 * ____ = 36 * 1 point 5 * ___ = 1 *
Answer:
9 and 1/5
Step-by-step explanation:
4*9=36
5*(1/5)=1
Answer:
4*_9_=36 1 point 5 _0.5__=1
Step-by-step explanation:
okay all u have to do is 36 divided by 4 is 9. 1.5 __0.5__ =1.0
Maria is making a skirt with rows of ribbon around the bottom. Each row of ribbon is 1.75 yards long. How many rows will she have if she is cutting the pieces from 5.25 yards long?
Answer:
3 rows
Step-by-step explanation:
Answer:
3 rows
Step-by-step explanation:
you just divide
Write an expression that represents the height of a tree that begins at 2 feet and increases by 3
feet per year. Please help
Answer:
2+3x
Step-by-step explanation:
2 is starting height. 3 is multiplier of how much it increases per year. x is the number of years