The height of the soil in the new planter is 4/3 feet
Consider the old planter
The height of the prism = [tex]1\frac{1}{2}[/tex] feet = 3/2 feet
The length of the prism = [tex]3\frac{2}{3}[/tex] feet = 11/3 feet
The width of the prism = 2 feet
The volume of the rectangular prism = Length × width × height
= 11/3 × 2 × 3/2
= 11 cubic feet
The area of the base of the new planter = [tex]8\frac{1}{4}[/tex] square feet = 33/4 square feet
The volume of both planter will be equal
The base area × height = volume
33/4 × h = 11
h = 11 / (33/4)
h = 11 × 4/11
h = 4/3 feet
Therefore, the height of the new planter is 4/3 feet
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I need help please! It’s ASAP
Answer:
28
Step-by-step explanation:
[tex]80 \times \frac{35}{100 } \\ = 28[/tex]
Answer:
28
Step-by-step explanation:
From the given pie chart:
35% of the people surveyed selected blue as their favorite color.If a total of 80 people were surveyed, to find the number of people in the sample that chose blue, simply find 35% of 80:
[tex]\begin{aligned}\implies \sf 35\%\;of\;80 & = \sf \dfrac{35}{100} \times 80\\\\&= \sf \dfrac{35 \times 80}{100} \\\\&= \sf \dfrac{2800}{100} \\\\&=\sf 28\end{aligned}[/tex]
Therefore, 28 people from a total of 80 surveyed chose blue as their favorite color.
Which expression is equivalent to
(2x+4)-(3x²+2x-1)?
A-3x² +3
B -3x² +5
C-3x² +4x+3
D -6x³-16x² - 6x+4
Answer:
[tex]\huge\boxed{\sf Option \ B}[/tex]
Step-by-step explanation:
Given expression:= (2x + 4) - (3x² + 2x - 1)
Solve parenthesis
= 2x + 4 - 3x² - 2x + 1
Combine like terms
= -3x² + 2x - 2x + 4 + 1
= -3x² + 5[tex]\rule[225]{225}{2}[/tex]
4/6 - 1/12 simplified
After solving the given expression, the value obtained will be equal to 7/12.
What are arithmetic Operations?The four fundamental operations of arithmetic are addition, subtraction, multiplication, and division of two or even more items.
Included in them is the study of integers, especially the order of operations, which is important for all other areas of mathematics, notably algebra, data management, and geometry.
As per the given fraction in the question,
4/6 - 1/12
Take LCM as 12 and then solve,
= (8 - 1)/12
= 7/12
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95 % of the class is on santa's nice list if there are 20 students how many are naughty
Answer: 1 Student
Step-by-step explanation:
Hope this helps!
Jimmy drives 6.5 miles to his aunt’s house. For every mile Jimmy drives, the amount of gas in the car’s gas tank changes by -0.04 gallon. What is the total change in the gallons of gas in the cars tank??
We will see that the amount of gasoline increased by 5.25 gallons over that five-day period.
How many more or fewer gallons of gas did the car's tank contain overall?Here we want to study the table to see the total change in the amount of gasoline over the five-day period.
Now we need to study the given graph:
Notice that each day we have the change of that particular day, then we just need to add all of these changes and we will get the total change.
Where the negative numbers mean that the gasoline was used, and the positive numbers represent a charge in the gasoline (so it increases).
C = -1.05 - 1.20 - 0.85 + 10.50 - 2.15 = 5.25
This means that, in total, the amount of gasoline increased by 5.25 gallons over that five-day period.
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Need help with this.
Answer:
93.331 ft
Step-by-step explanation:
Use the trigonometric function sine (opposite/hypotenuse)
sin(59) = 80
1 x
You can switch x and sin(59)
x = 80
sin(59)
Plug into calculator
x = 93.331 ft
need help on this ASAP!!
Answer:
no solution to the equation
Step-by-step explanation:
Answer:
no solution to the equation
Evaluate 23x-1 for x = 1.
2 to the power of 3 not 23
Answer: = 7 i believe
Step-by-step explanation:
2^3 (2 power by 3) x - 1 for 1 which is 7
An airplane pilot whose craft has an air speed of 150km / hr whishes to fly on a true course of N 65 E. A 15 km / hr wind is blowing with a bearing of S 45 E. In what direction should the plane be pointed? What will be the plane's ground speed?
speed of plane's ground = 155.769 Km/h
What is speed and velocity ?Speed is the rate at which an object travels along a path over time, whereas velocity is the speed and direction of an item's motion. In other words, speed is a scalar value, but velocity is a vector.
What are the units of speed ?Units of speed = meter per second
So ln [tex]$\triangle A O B$[/tex], we have
[tex]$$[/tex]A=65[tex]^{\circ}+45^{\circ}=110^{\circ} \\[/tex]
O A=[tex]150 \mathrm{~km} / \mathrm{h} \\[/tex]
A B=15 [tex]\mathrm{~km} / \mathrm{h}[/tex]
[tex]\end{aligned}[/tex]using cosine Rule
[tex]\cos A=\frac{O A^2+A B^2-O B^2}{2(O A)(A B)} \\[/tex]
[tex]\cos 110^{\circ}=\frac{(150)^2+(15)^2-O B^2}{2(150)(15)} \\[/tex]
[tex]4500 \cos 110^{\circ}=22500+225-0 B^2 \\[/tex]
[tex]-1539.09064=22725-0 B^2 \\[/tex]
[tex]O B^2=22725+1539.09064 \\[/tex]
[tex]O B^2=24,264.0906 \\[/tex]
[tex]O B=155.769351 \approx 155.769 \mathrm{~km} / \mathrm{hr} \\[/tex]
[tex]O B \approx 17 \mathrm{k}[/tex]
using sine rule
[tex]\frac{\sin (A O B)}{15}=\frac{\sin A}{O B} \\[/tex]
[tex]\frac{\sin (A O B)}{15}=\frac{\sin 110^{\circ}}{155.769351} \\[/tex]
[tex]\sin (A O B)=\frac{15 \sin 110^{\circ}}{155.769351}=\frac{14.0953893}{155.769351}[/tex]
[tex]\sin (A \cap B)=0.0904888491 \\[/tex]
[tex]A O B=\sin ^{-1}(0.0904888491) \\[/tex]
[tex]A D B=5.19173084^{\circ} \\[/tex]
[tex]A O B=5.2^{\circ}[/tex]
Direction of plane [tex]=65^{\circ}+5.2^{\circ} \\[/tex] = [tex]=70.2^{\circ}[/tex]
Direction N = 70.2° E
speed of plane's ground [tex]$=155.769 \mathrm{~km} / \mathrm{h}$[/tex]
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Ann, ben and cheryl hare ome money in the ratio 3:7:10. Ben receive £650 more than Ann. Calculate the total amount of money that they hared
The total amount of money that they hared is 13000.
What is amount?
The amount of something is how much there is, or how much you have, need, or get. He needs that amount of money to survive. [ + of] I still do a certain amount of work for them.
Ann, ben and cheryl hare ome money in the ratio 3:7:10
Ben receive £650 more than Ann.
Ann = 3*650=1950
ben= 7*650=4550
cheryl hare ome = 10*650= 6500
The total amount of money that they hared 1950+4550+6500= 13000.
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The number of students who are active in the computer club has jumped from 7 to 19. To the nearest percent, what is the percent increase?
Answer:
63.2%
Step-by-step explanation:
percentage increase= (Increase \ old number) * 100
= {(19 -7)/ 19} * 100
= (12\19) * 100
=63.16 %
Rose spent $2.00 for
20 pieces of gum. Joe spent
$1.50 for 10 pieces of gum.
Who got the better deal?
Explain your answer.
Answer: Rose got the better deal!
Step-by-step explanation:
Rose got the better deal, she only spent .10 cents for every piece, while joe spent .15 cents and only got 10 pieces.
look at the screenshot
Answer:
c) 72-34=38
Step-by-step explanation:
m% of p% of n? Help Pls
Find the values of x and y
Answer: A
Step-by-step explanation:
We see that the x is a right angle, so it must be a 90-degree angle!
For y, we know that a triangle has 180 degrees, we already know the other two angles are 90 and 64, add both together, equal 154.
180 - 154 = 26, so y is 26 degrees!
So the answer is A
There are 26,358 children living in this town. Half of the children are boys. There are about ________ boys living in this town.
Answer:
13179
Step-by-step explanation:
It says half of the children are boys, which means division
26358 divided by 2 is 13179
Answer:
13,179
Step-by-step explanation:
the answer is 13,179 because 26,358 divided by 2 is 13,179
2=1/2
What is the value of x?
Answer:
3
Step-by-step explanation:
5x = 6x - 3
6x - 5x = 3
x = 3
Whoever answers correctly and with an explanation will get marked Brainliest!!
There are 35 questions total located in Mathematics. This is Algebra I!
Answer: increasing by 0.25
Step-by-step explanation:
I really need help What is the image point of (9,3) after the transformation r x-axis ∘D 1/3?
The image point of (9,3) after the transformation r x-axis is (-9, -3 ).
How does transformation of a function happens?The transformation of a function may involve any change.
Usually, these can be shift horizontally (by transforming inputs) or vertically (by transforming output), stretching (multiplying outputs or inputs) etc.
Since we know that Horizontal shift (also called phase shift):
Left shift by c units:
y=f(x+c) (same output, but c units earlier)
Therefore, Under a counterclockwise
a point (x, y ) → (- x, - y ) , thus
(9, 3 )→ (-9, -3 )
Therefore, the image point of (9,3) after the transformation r x-axis is (-9, -3 ).
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pls help due tommorw!!! pretty easy!!
The solution is x²
The monomial that will make the expression as a square of a sum or a difference of trinomial is x²
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , a monomial that will make the expression as a square of a sum or a difference of trinomial is calculated as
(a-b)² = a² -2ab + b²
where a² = 36
taking square roots on both sides of the equation , we get
a = 6
-2ab = -12x
So , one of the variable is x
So , substituting the value of b = x , we get
( 6 - x )² = 36 - 12x + x²
Therefore , the value of the monomial is x²
Hence , The monomial that will make the expression as a square of a sum or a difference of trinomial is x²
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Can you please help me?
Answer:
It should be 5/6
Step-by-step explanation:
:)rawr
Help me with this actual L question
Answer:
[tex]\frac{t^6u^4w^{10}}{v}[/tex]
Step-by-step explanation:
1.) Simplify. Anything to the power of 0 is equal to 1, meaning that you don't have to pay attention to those variables. This brings us with [tex]t^5u^7v^{-1}wtu^{-3}w^9[/tex].
2.) Combine common powers. When you multiply, you add the exponents. This brings us with [tex]t^6u^4w^{10}v^{-1}[/tex].
3.) Finally, negative exponents can be brought to the denominator, so we get [tex]\frac{t^6u^4w^{10}}{v}[/tex].
PLS HELP ASAP WILL NAME BRAINLIEST
what is a product of -30 but the sum of -1
Answer: -6 and 5
Step-by-step explanation:
-6 and 5
x+y = -1
xy = -30
x=-1-y
y(-1-y)=-30
-y^2-y=-30
-y^2-y+30=0
(y-5)(5+6)
y=5,-6
Jaylen and Ryan are saving up for holiday gifts for their families. Jaylen has $340 in his savings account and earns an additional $15 per week from doing chores. Ryan has $220 in her savings account and earns $25 per week from doing chores. How many weeks will it take to save up the same amount of money?
Jaylen and Ryan will have same amount of money after 12 weeks .
Let the no of weeks after which both of them will have equal amount be x
therefore, after x weeks the amount of money in
Jaylen's account = 340 + 15x
Ryan's account = 220+ 25x
Now, since these amount is equal
therefore,
340 + 15x = 220+ 25x
on solving this equation we get ,
=>340 - 220 = 25 x - 15x
=> 120 =10x
=> x = 12
First order equations include linear equations. In the coordinate system, the linear equations are defined for lines. A linear equation in one variable is one in which there is a homogeneous variable of degree 1 (i.e., only one variable).
Multiple variables may be present in a linear equation. Linear equations in two variables, for example, are used when a linear equation contains two variables. Examples of linear equations include 2x - 3 = 0, 2y = 8, m + 1 = 0, x/2 = 3, and 3x - y + z = 3.
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The general term Tn of a sequence is
4+n
2n
Find the 4th term and the 6th term in the sequence.
The 4th term and the 6th term in the sequence are 1 and 5/6
How to determine the 4th term and the 6th term in the sequence.From the question, we have the following parameters that can be used in our computation:
Tn= (4 + n)/2n
The 4th term and the 6th term in the sequence means that
n = 4 and n = 6
Substitute the known values in the above equation, so, we have the following representation
n = 4:
T(4) = (4 + 4)/2(4)
Evaluate
T(4) = 1
n = 6:
T(6) = (4 + 6)/2(6)
Evaluate
T(6) = 5/6
Hence, the terms are 1 and 5/6
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I need help answering this
mr. bell gave out a science test last week to six honors students. the scores were 88, 94, 80, 79, 74, and 83. what is the standard deviation of the scores?
The standard deviation of the scores is 6.48
For given set of scores, 88, 94, 80, 79, 74, and 83
Here, the number of observations = 6
The mean of the scores would be,
μ = Σx/n
μ = (88 + 94 + 80 + 79 + 74 + 83)/6
μ = 498/6
μ = 83
Using the formula of standard deviation,
σ = √((Xi−μ)^2)/n
σ = √[(88 - 83)² + (94 - 83)² + (80 - 83)² + (79 - 83)² + (74 - 83)² + (83 - 83)²]/6
σ = √(252/6)
σ = √42
σ = 6.48
Therefore, the standard deviation = 6.48
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What are the slopes of the lines representing Juliana's
and Emiliano's recipes?
Let x represent the number of cups of flour and y
represent the number of cups of sugar.
to get the slope of any straight line, we simply need two points off of it, for Juliana and Emiliano let's use those points in the picture below.
[tex]\stackrel{\textit{\LARGE Juliana}}{(\stackrel{x_1}{2}~,~\stackrel{y_1}{1})\qquad (\stackrel{x_2}{4}~,~\stackrel{y_2}{2})} ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{2}-\stackrel{y1}{1}}}{\underset{run} {\underset{x_2}{4}-\underset{x_1}{2}}} \implies {\Large \begin{array}{llll} \cfrac{1 }{ 2 } \end{array}} \\\\[-0.35em] ~\dotfill[/tex]
[tex]\stackrel{\textit{\LARGE Emiliano}}{(\stackrel{x_1}{1\frac{1}{2}}~,~\stackrel{y_1}{1})\qquad (\stackrel{x_2}{4\frac{1}{2}}~,~\stackrel{y_2}{3})} ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{3}-\stackrel{y1}{1}}}{\underset{run} {\underset{x_2}{4\frac{1}{2}}-\underset{x_1}{1\frac{1}{2}}}}\implies {\Large \begin{array}{llll} \cfrac{2}{3} \end{array}}[/tex]
An Uber driver charges $1.75 plus a fee
of $0.85 for each mile traveled. The
total cost of a ride, without a tip, is $8.75. Write
an equation if you wanted to find the value of m,
the number of miles traveled.
The equation is $1.75+$0.85m= $8.75, after solving the value m =8.24 miles.
What is equation?An algebraic expression contains one or more variables along with numbers show the equality among them.
Why we use equation?we use equation to determine an unknown value. we create equation based on a mathematical statement and finally solve it.
The following is the solution of equation of the statement given in question.
Given, fee per mile = $0.85
Charges = $1.75
Total cost of ride = $8.75
let, m is the number of miles travelled
Now, the equation is $1.75+$0.85m = $8.75
after solving 0.85m = 7.00
m = 8.24 miles
hence, the Uber travelled 8.24 miles
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For the three-part question that follows, provide your answer to each question in the given workspace. Identify each part with a coordinating response. Be sure to clearly label each part of your response as Part A, Part B, and Part C.
A bag contains three blue marbles, five red marbles, and four green marbles.
Part A: What is the probability of selecting three marbles where one is blue and two are green?
Part B: What is the probability of selecting one blue marble and then selecting three red marbles?
Part C: In your own words, write a short paragraph that explains your work for Parts A and B.
The probabilities for the given problem is calculated as 0.081 and 0.06 respectively.
What is probability?Probability is the branch of Mathematics that deals with the measurement of the chance of occurrence of a random event.
The probability of any event always lie in the close interval of 0 and 1 [0,1].
The zero value of probability indicates that the event will not happen while its value equal to one indicate that it will happen.
Given that,
There are 3 blue marbles, 5 red marbles and 4 green marbles.
Then, the total number of marbles is 12.
The given problem can be solved as follows,
Part A:
The probability of getting 1 blue and 2 green marbles is,
P( 1 blue and 2 green) = (³C₁ × ⁴C₂)/¹²C₃
= ( 3 × 6)/ 220
= 9/110
= 0.081
Part B:
The probability of selecting one blue marble = 3/12 = 1/4
After one blue marble is selected, the remaining number of marbles is 11.
Thus, probability of selecting 3 red marbles is,
⁵C₃/¹¹C₃
= 10/165
= 0.06
Part C:
In the Part A the probability is calculated by taking the ratio of total number of ways of selecting 3 marbles and the number of ways of selecting 1 blue and 2 green marbles.
And, in Part B the number of ways is calculated from the remaining number of marbles after one blue marble is chosen.
Hence, the probabilities for the given parts in the question are 0.081 and 0.06 respectively.
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