3√3 is not equivalent to 9³/₄
3√3 is equivalent to [tex]9^\frac34[/tex]
step-by-step:
[tex]9^\frac34=(3^2)^\frac34=3^{2\cdot\frac34}=3^{\frac32}=3^{1+\frac12}=3^1\cdot3^\frac12=3\cdot\sqrt3=3\sqrt3[/tex]
The simplest form of the number [tex]9^\frac{3}{4}[/tex] is [tex]3 \ \sqrt[]{3}[/tex].
It is given that the [tex]9^\frac{3}{4}[/tex]
It is required to find the simplest value of [tex]9^\frac{3}{4}[/tex]
What is the square root of a number?It is defined as the number if we multiply the number by itself we get the original number it is a non-negative number.
We have:
= [tex]9^\frac{3}{4}[/tex]
We can write the above number as below:
[tex]= (3^2)^\frac{3}{4}[/tex]
By the property of powers:
[tex]\rm (x^a)^b= x^a^\times ^b[/tex] , we get:
[tex]3^2^\times^\frac{3}{4} \\\\\\3^\frac{3}{2} \\\\\sqrt{3^3} \\\\\sqrt{3}\times \sqrt{3}\times\sqrt{3}\\\\3\sqrt{3}[/tex]
Thus, the simplest form of the number [tex]9^\frac{3}{4}[/tex] is [tex]3 \ \sqrt[]{3}[/tex].
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Pete earns graduated commission on his sales each month. He earns 7% commission on the first $35,000 in sales and 9% on anything over that. If Pete had $43,000 in sales this month, how much commission did he earn?
a. $2,610
b. $3,170
c. $3,870
d. $6,880
Please select the best answer from the choices provided A B C D
Answer:
b.$3170
Step-by-step explanation:
43,000-35,000=8,000
SO you would find 9% commission on 8,000
8,000x.09=720
then, you would find his normal commission if he only made 35,000
so you would do 35,000x.07=2450
you would, then, add the two together to get his entire commission, which is $3170
Answer:
b
Step-by-step explanation:
50 POINTSS!! While preparing a roof, patty drops a screwdriver from a height of 80 feet. The function (h)t = -16t^2 + 80 gives the height of the screwdriver in the feet as feet after t seconds during its fall. Which of these is the graph of the function
Answer:
Graph D
Step-by-step explanation:
(h)t = -16t^2 + 80
At time t = 0 the screwdriver is at 0+80 =80 ft
As time increases the height will decrease so we can eliminate graph B
We know this is a downward parabola by the - in front of the t^2 so we can eliminate graph A
We need to find where it meets the x axis
0 = -16t^2 + 80
-80 = -16t^2
5 = t^2
t = sqrt(5)
t =2.23
This is Graph D
zero of the function f(x)=3x/x2-9
Answer:
It should equal zero or seven. I think is zero
Help pls need work shown
Answer:
1.) P = 8g + 50
2.) Find the attached file for the graph.
Step-by-step explanation:
Let the profit = P
And g = good sold.
Given that each yo-yo sells for $8.00
The rate or the slope of the equation will be 8
Also, it is given that they must pay a clerk $50.00 a day to sell them. A flat rate of 50 dollars is an intercept of the equation.
Using the general linear equation of
Y = mX + C
The equation for the profit the store will make in a day will be.
P = 8g + 50
Please find the attached file for the graph
Last week, 17 employees exceeded their sales quota, 13 employees met their sales quota, and 3 employees didn't meet their sales quota. Express the number of employees who exceeded their sales quota to the number of employees who didn't exceed their sales quota. Question 11 options: A) 3:13 B) 16:17 C) 17:16 D) 17:33
Answer:
17:16
Step-by-step explanation:
Number of employees exceeded their sales quota = 17
Number of employees met their sales quota = 13
Number of employees didn't exceed their sales quota = 3
Now, we need to find the ratio of the number employees who exceeded their sales quota to the number of employees who didn't exceed their sales quota.
Find the area of the green sector if m2 A-T
and the circle has a radius of 10 inches.
The area is:
A = πR² ------- 2π
A = x --------- π/6
x = πR²/12
x = π.(10)²/12
x = 26.18 in²
Hope it helps x
24 is 75% percent of what number?
Answer:
32
Step-by-step explanation:
We can call the number x. 75% can be expressed as 0.75 so we can write the following equation: 0.75x = 24. Dividing both sides by 0.75 to get rid of the coefficient of x, we get that x = 32.
Answer:
32.
Step-by-step explanation:
Let's say the number we are trying to find is x.
24 = 0.75x
0.75x = 24
x = 24 / 0.75
x = 32
Hope this helps!
Helppp thank you!!!!!
Answer:
D
Step-by-step explanation:
x is greater than 12:
[tex]x>12 \text{ or } 12<x[/tex]
and x is less than or equal to 3 times the value of y:
[tex]12<x\leq 3y[/tex]
We can divide everything by 3:
[tex]4<\frac{x}{3} \leq y[/tex]
What is the value of x, when -25(x - 4) = -55(x - 10)? A) x = 5 B) x = -5 C) x = 8 1/ 8 D) x = 15
[tex]-25(x - 4) = -55(x - 10)\\-25x+100=-55x+550\\30x=450\\x=\dfrac{450}{30}=15[/tex]
Answer:
x=15
Step-by-step explanation:
this graph shows the solution to which inequality (3 3) (-3 -1)
Answer:
B
Step-by-step explanation:
since the graph shows dotted line the sign has to be < or > so C and D eliminated from your answer
y>2/3 x +1 is your answer (B)
Answer:
[tex] \boxed{y > \frac{2}{3} x + 1}[/tex]Option B is the correct option.
Step-by-step explanation:
point ₁ ( - 3 , - 1 ) x₁ = - 3 , y₂ = - 1
point ₂ ( 3 , 3 ). x₂ = 3 , y₂= 3
Now, let's find the slope:
Slope ( m ) = [tex] = \frac{y2 - y1}{x2 - x1} [/tex]
[tex] = \frac{3 - ( - 1)}{3 - ( - 3)} [/tex]
[tex] = \frac{3 + 1}{3 + 3} [/tex]
[tex] = \frac{4}{6} [/tex]
[tex] = \frac{2}{3} [/tex]
At ( 3 , - 1 )
y = mx + c , where m is the gradient / slope amd c is called the intercept on y-axis
[tex] - 1 = \frac{2}{3} \times ( - 3) + c[/tex]
Solve for c
[tex] - 1 + 2 = c[/tex]
[tex]c = 1[/tex]
Since, The red line is dotted line. Therefore it does not include the equal to part. And the shaded region is upper part. Hence, ' > ' should be used.
The answer would be:
[tex]y > \frac{2}{3} x + 1[/tex]
Hope I helped!
Best regards!
Write an equation for a line on the graph that passes through the points (0.4) and (12,16)
Answer:
[tex] y = x + 4 [/tex]
Step-by-step explanation:
Use the two-point form of the equation of a line.
[tex] y - y_1 = \dfrac{y_2 - y_1}{x_2 - x_1}(x - x_1) [/tex]
[tex] y - 4 = \dfrac{16 - 4}{12 - 0}(x - 0) [/tex]
[tex] y - 4 = \dfrac{12}{12}x [/tex]
[tex] y - 4 = x [/tex]
[tex] y = x + 4 [/tex]
Answer:
y = x + 4
Step-by-step explanation:
An equation for a line looks like:
=> y = mx +b
=> In this equation "m" is the slope.
=> "b" is the y-intercept.
To find the slope:
=> y/x - y1/x1
=> 16/12 - 4/0
=> 16 -4 / 12 - 0
=> 12 / 12
=> 1
So, the slope is 1.
Now our equation looks like:
y = 1x + b
=> y = x + b
Let's take some the values of "x" and "y" of (0,4)
So, our now look like:
=> 4 = 1 (0) + b
=> 4 = b
So, b (y-intercept) = 4
Now, our final equation is:
=> y = x + 4
Ms. Brown needs 8 eggs in order to make 2 cakes. What is the total number of cakes she could make with 24 eggs?
Answer:
Ms. Brown would need 4 eggs in order to make 1 cake, so if she has 24 eggs you would divide 24 by 4, which is 6. So, Ms. Brown could make 6 cakes with 24 eggs.
Hope this helps!
Create a figure with half the perimeter of a given figure.
you don't have to actually make a shape, can someone explain how to do this pls
Step-by-step explanation:
First you have to add up all of the numbers that make up the perimeter of this arrow.
3+3+1+.5+.5+1.8+1.8=11.6
You than want to divide this number by 2 to find the half perimeter you have to work with, which is 5.8.
A simple shape you can make is a square, with each side being 1.45 m.
___H2 + ___Br2 → ___HBr
Answer:
H2+Br2 HBrH2+Br2. 2HBrPlease help Describe a way that you can remember the elements of the reflection matrices if you forget where the 1s, -1s, and 0s belong.
Step-by-step explanation:
Multiplying the vertex matrix with the matrix gives us a reflection matrix. The most common matrix reflections are seen as reflection in the x - axis as well as reflection in the y - axis.
It can also be reflect by 90 degree or by 180 degree.
So, one way to remember the elements is by multiplying the given matrix by a unit matrix. And on the other hand you can remember the elements remembering by what degree we are reflecting the matrix. This way makes it easier to remember the elements.
The explanation regarding the elements of the reflection is explained below:
The following information should be considered:
In the case when we Multiply the vertex matrix with the matrix so it provides the reflection matrix. The most common matrix reflections are seen as reflection in the x - axis as well as reflection in the y - axis. It can also be reflect by 90 degree or by 180 degree.Learn more: https://brainly.com/question/17961582?referrer=searchResults
How to solve -13 - ¼h = 7
Answer:
The solution is h = -80.
Step-by-step explanation:
Let's eliminate fractions here by multiplying all three terms by 4:
-52 - h = 28
Subtracting 28 from both sides results in -80 = h
The solution is h = -80.
Given [tex]f(x)=-x^{2} +6x-11[/tex], find [tex]f(x-3)[/tex]
Answer:
See below.
Step-by-step explanation:
[tex]f(x)=-x^2+6x-11\\f(x-3)=-(x-3)^2+6(x-3)-11\\f(x-3)=-(x^2-6x+9)+6x-18-11\\f(x-3)=-x^2+6x-9+6x-29\\f(x-3)=-x^2+12x-38[/tex]
ASAP!!!!!!!!! PLEASE help me with this question! This is really urgent! No nonsense answers please.
=================================================
Explanation:
Arcs CBH and FGH are given, while arc CDF is unknown. Let's call this y
y = measure of arc CDF
Adding the three arcs forms a full circle of 360 degrees
(arc CBH)+(arc FGH)+(arc CDF) = 360
170+64+y = 360
y+234 = 360
y = 360-234
y = 126
arc CDF = 126 degrees
Then notice how inscribed angle x cuts off arc CDF. By the inscribed angle theorem, we take half of the arc measure to get the inscribed angle measure.
inscribed angle = (arc measure)/2
x = (arc CDF)/2
x = 126/2
x = 63
Answer:
rewrite the fromula 126
Step-by-step explanation:
A number “x” increased by 5 is 19?
Answer:
x+5=19
Step-by-step explanation:
i think that right let me know...:/
Answer:
x= 14
Step-by-step explanation:
a number x increased by 5, so it will be x + 5 and is in math means equals to so it becomes
x+5=19
19-5=x
14=x
The National Weather Service collects data on the number of hours of consecutive rainfall and the number of minor traffic accidents in a particular city. The scatter plot shows the data it gathered and the line of best fit. For a school project, Peyton uses technology to calculate the equation for line of best fit. If Peyton's calculation is correct, which equation could represent the line of best fit for this data?
The equation that could best represent the line of best fit for the given data is; y = 0.625x
How to find a linear equation from a scatter plot?The formula for the equation of a line in slope intercept form is;
y = mx + c
where;
m is slope
c is y-intercept which is the point where the line intersects the y-axis
Now, in this question, we see that the line intersects the y-axis at 0. Thus;
y-intercept; c = 0
Now, let us find the slope from the formula;
m = (y₂ - y₁)/(x₂ - x₁)
Using the first and penultimate coordinate which are;
(0, 0) and (8, 5), we have;
m = (5 - 0)/(8 - 0)
m = 0.625
Thus, the equation is;
y = 0.625x
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Answer:
y=0.625x
Step-by-step explanation:
plato
Coherence
5. Simon's teacher asked him to e-mail her a copy of the outline for his essay on American
History: When drafting the e-mail, what level of diction should Simon use?
informal
formal
standard
foundational
Answer:
The correct option is;
Formal
Step-by-step explanation:
The common levels of diction are formal, informal, and popular, with formal diction being the most selective of the word choices
Formal diction is used when when communicating in a situation that is formal
Formal diction uses languages that is devoid of slang and grammatically correct
Formal language is precise, grammatically correct language that does not use slang used in communication for legal, professional, business and academic purposes.
Please answer this question now
Answer:
1471.15
Step-by-step explanation:
A circle is centered at C(-1,-3) and has a radius of 6. Where’d does the point P(-6,-6) lie?
Please answer this question now
Answer:
m∠C = 102°
Step-by-step explanation:
This is a quadrilateral inscribed in a circle
The sum of opposite angles in a cyclic quadrilateral is equal to 180°
m∠D + m∠B = 180°
m∠B = 180° - m∠D
m∠B = 180° - 80°
m∠B = 100°
We know what m∠B
We have external angles outside the circle.
m∠CDA is opposite m∠B
m∠CDA = 2 × m∠B
m∠CDA = 2 × 100°
m∠CDA = 200°
m∠CDA is the sum of m∠CD and m∠DA
m∠CDA = m∠CD + m∠DA
m∠DA = m∠CDA - m∠CD
m∠DA = 200° - 116°
m∠DA = 84°
m∠DAB is an exterior angle also, hence,
m∠DAB is the sum of m∠DA and m∠AB
m∠DAB = m∠DA + m∠AB
m∠DAB = 84° + 120°
m∠DAB = 204°
Finally we can solve for m∠C
m∠DAB is Opposite m∠C
So, m∠C = 1/2 × m∠DAB
m∠C = 1/2 × 204
m∠C = 102°
whats the factored form of 6x 2 - 8x - 8 = 0
Answer:
x = -2/3 , 2
Step-by-step explanation:
Factor 2 out of 6 x^ 2 − 8 x − 8
2 ( 3 x^ 2 − 4 x − 4 ) = 0
Factor
2 ( 3 x + 2 ) ( x − 2 ) = 0
Set 3 x + 2 equal to 0 and solve for x
x = -2/3
Set x − 2 equal to 0 and solve for x
x = 2
The final solution is all the values that make 2 ( 3 x + 2 ) ( x − 2 ) = 0
x = -2/3 , 2
Hope this can help you
Choose all true statements.
All real numbers are rational numbers.
Some rational numbers are natural numbers.
No real numbers are irrational numbers.
All whole numbers are integers.
Some integers are natural numbers.
No rational numbers are integers.
Answer:
- All real numbers are rational numbers. FALSE
- Some rational numbers are natural numbers. TRUE
- No real numbers are irrational numbers. FALSE
- All whole numbers are integers. TRUE
- Some integers are natural numbers. TRUE
- No rational numbers are integers. FALSE
Answer: B,D, and E
Step-by-step explanation:
A. All real numbers are rational numbers.
B. Some rational numbers are natural numbers
C.No real numbers are irrational numbers.
D.All whole numbers are integers.
E. Some integers are natural numbers.
F. No rational numbers are integers.
The lengths of the three sides of a triangle are 7, x+4 and 2x+1. The perimeter of the triangle is 36. What is the length of the longest side of the triangle?
Answer:
Length of the longest side = 17 units
Step-by-step explanation:
Given:
Three sides of triangle
A = 7
B = x+4
C = 2x + 1
Perimeter of the triangle = 36
Find:
Length of the longest side
Computation:
We know that
Perimeter of the triangle = A + B + C
Perimeter of the triangle = 7 + x + 4 + 2x + 1
36 = 12 + 3x
24 = 3x
x = 8
So
Side B = 8 + 4 = 12 unit
Side C = 2(8) + 1 = 17 units
Length of the longest side = 17 units
Answer:
17.
Explaination:
Dunno. I just put it on paper, and did the calculations there.
4. A car is priced at $7200. The car dealer allows a customer to
pay a one-third deposit and 12 payments of $420 per month.
How much extra does it cost the customer?
Answer:
$240 extra
Step-by-step explanation:
1/3(7200) + 12(420) = 2400 + 5040 = 7440
7440 - 7200 = 240
The customer had to pay 1720 extra.
What is Unitary Method?The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.
For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.
12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.
As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.
This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.
Given:
A car is priced at $7200.
If the deposit is one third = 7200/3
= 240
The amount after 12 payments will be
= 240 x 12
= 2880
total cost will be
= 2880 + 2400
= 5280
and, The customer had to pay extra amount
= 7200 - 5280
= 1720
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Point M is on line segment LN. Given MN=2 and LM=4, determine the length LN.
Answer:
LN = 6
Step-by-step explanation:
Since M is on LN, then
LN = LM + MN = 4 + 2 = 6
Answer:
[tex]\huge \boxed{6}[/tex]
Step-by-step explanation:
Point M is on the line segment LN.
LM = 4
MN = 2
LN = LM + MN
LN = 4 + 2 = 6
collen family plans to paint the window of their house. her father will paint twice as many window as her mother, and collen and her 2 brothers will paint an equal number of the rest of the windows
Answer:
21 windows
Step-by-step explanation:
colleen's family plans to paint the windows of their house. her father will paint twice as many windows as her mother, and Colleen and her 2 brothers will paint an equal number of the rest of the windows. Colleen decided to do her own share and her mother's share and paints 7 window, which is one less than her father's share. how many windows are in their house?
Answer: Let the number of window Colleen father would paint be x while that of her mother be y. Since her father will paint twice as many window as her mother, therefore the number of windows painted by the father x = 2y
Let the number of windows each painted by Colleen and her 2 brothers be z since they would paint the same number of windows. The total number of windows to be painted = 2y + y + z + z + z = 3y + 3z = 3(y + z).
Then number of windows needed to be painted by Colleen and her mother is given as z + y. Since Colleen painted 7 windows as her share and her mother share i.e. y + z = 7
Therefore the total number of windows = 3(y + z) = 3(7) = 21 windows
