What is the solution to (x-12)^2-48=0 ?
Answer:
x = 18.928, 5.0718
Explanation:
x = 4√3 + 12, - 4√3 +12
decimal form:
x = 18.928, 5.0718
Determine if the sequence below is arithmetic or geometric and determine
common difference / ratio in simplest form.
22, 16, 10, ...
Answer:
It is arithmetic
Step-by-step explanation:
Using the rule T2-T1
We see that 16-22 is -6
We can also try T3-T2
We see that 10-16 is also -6
Their is a constant common difference and that constant common difference is -6.
Hope that helps :)
Sorry if it's a bother, but what's the answer to these? I'm having a little bit of trouble.
~Let's change 9.9² to 10² since we have to estimate.~
We know that:
10² = 100Given expression: 9.9² × 1.79Solving the expression:
9.9² × 1.79=> 10² × 1.79=> 100 × 1.79=> 179The estimated value of 9.9² × 1.79 is 179.
Solution (b):~Let's change √97.5 to √100 and 1.96 to 2 since we have to estimate.~
We know that:
√100 = 10Given expression: √97.5 ÷ 1.96Solving the expression:
√97.5 ÷ 1.96=> √100 ÷ 2=> 10 ÷ 2=> 5The estimated value of √97.5 ÷ 1.96 is 5.
Pleaeeeeee helppp!!!
Answer:
$22 I think?
Step-by-step explanation:
I believe you take $50 and add 10% sales tax to it and your total will be $55 and then subtract 60% from that to get the final price of $22.
A sculpting tool is in the shape of a solid triangular prism. The tool is made of 12 in. 3 of metal and is 4 in. Long. What is the height of the base if it is 2 in. Wide? 1. 5 in. 3 in. 48 in. 96 in.
The height of the base if it is 2 in. Wide is 3 inches
what is the height of the base of the prism?
The volume of rectangular prism = [tex]\dfrac{1}{2} \times Lenght \times Base \times hieght[/tex]
The volume of given rectangular prism = [tex]12 inch ^{3}[/tex]
Length of prism = 4 inch
The base of prism = 2 inch
By putting the values in the formula
[tex]12= \dfrac{1}{2} \times 4 \times 2\times Height[/tex]
so from the above calculations
[tex]height=3 inches[/tex]
Thus the height of the base if it is 2 in. Wide is 3 inches
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Larry is preparing jars of tomatoes from his garden. Each of his three sisters has asked for at least two jars of tomatoes, and Larry needs at least five jars for himself. i need help right now
if i tell you the truth i dont even know
HELP PLEASE!! 35 POINTS!! I need the rate of change, start value, and equation!!!
Rate of change: y + 4, or x + 1
Start Value: 0
Equation: y = 4x + 6
Solve for m:
(-11/6) + m = -2/9
M=
Step-by-step explanation:
(-11/6) + m = -2/9
m = -2/9 + 11/6
the last common multiple of 9 and 6 is 18.
so, we are bringing both fractions to .../18.
m = -2×2/18 + 11×3/18 = -4/18 + 33/18 = 29/18
Consider an urn with 7 black balls, 3 yellow balls, and 4 orange balls. If 3 balls are chosen randomly with replacement, what is the probability that the first is yellow, the second is orange, and the third is orange
Answer:
1.79% chance or [tex]\frac{6}{343}[/tex]
Step-by-step explanation:
7+3+4=14
chance of yellow [tex]\frac{3}{14}[/tex]
chance of orange [tex]\frac{4}{14}[/tex]
[tex]\frac{3}{14} * \frac{4}{14} *\frac{4}{14} = \frac{6}{343}[/tex]
is it 1 2 3 or 4 look at file drop
Answer:
D (4,8)
Step-by-step explanation:
i really need help with my homework and its so hard can you help me plss here is question one m+43=38+46
Answer:
m = 41
Step-by-step explanation:
m + 43 = 38 + 46
m + 43 = 84 ( subtract 43 from both sides )
m = 41
A group of students must collect at least $150 to organize a science fair. They have already collected $30. Which graph best represents all remaining amounts of money, in dollars, that the students should still collect to organize the science fair?
Number line graph with a closed circle on 120 and shading to the right.
Number line graph with a closed circle on 30 and shading to the right.
Number line graph with a closed circle on 150 and shading to the right.
Number line graph with a closed circle on 180 and shading to the right.
Answer:
Number line graph with a closed circle on 120 and shading to the right.
Step-by-step explanation:
Because they have collected 30 dollars already and must collect at least 150 dollars, the closed circle would go on 120, going to the right. (150-30=120)
Part A: What do the x-intercepts and maximum value of the graph represent in context of the described situation?
Part B: What are the intervals where the function is increasing and decreasing, and what do they represent about the sale and
profit for the company in the situation described?
Part C: What is an approximate average rate of change of the graph from x = 1 to x = 3, and what does this rate represent in
context of the described situation?
The x intercept of the given graph of the company's profit is where the curve of the graph crosses the x-axis.
How to determine the x-interceptIn this figure, the graph crosses the x-axis at x = 0 and x = 6
This represents the profit is 0 when the price is $0 and $6, respectively
The maximum valueThis represents the maximum profit that can be made.
From the graph, the maximum profit is $120
The increasing and the decreasing intervalFrom the graph, the graph increases from x = 0 to x = x = 3, and it decreases from x = 3 to x = 6
These intervals represent when the profit increases, and when it decreases
The average rate of changeThis is calculated as:
[tex]m = \frac{f(b) - f(a)}{b - a}[/tex]
So, we have:
[tex]m = \frac{f(3) - f(1)}{3 - 1}[/tex]
[tex]m = \frac{f(3) - f(1)}{2}[/tex]
Substitute known values
[tex]m = \frac{120 - 60}{2}[/tex]
[tex]m = \frac{60}{2}[/tex]
Simplify
[tex]m = 30[/tex]
Hence, the average rate of change from x = 1 to x = 3 is a profit of $30 per unit sale
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A manager wants to determine if an employee training program has increased her employees’ customer satisfaction ratings. She randomly selects 10 of the participating employees and compares their customer satisfaction ratings before and after the training. The results are shown in the table.
Employee Before After Difference
1 4.2 4.3 0.1
2 3.7 3.6 Negative 0.1
3 2.9 3 0.1
4 3.2 3.3 0.1
5 3.1 3 Negative 0.1
6 4.1 4.2 0.1
7 2.8 2.9 0.1
8 2.8 2.7 Negative 0.1
9 4 4.2 0.2
10 3.6 3.7 0.1
How can the values in the Difference row of the table be interpreted?
A. A negative difference means that the program was effective, and any positive differences can be ignored.
B. A positive difference means that the employee’s rating increased after the program, and a negative difference means that the employee’s rating decreased after the program.
C. A positive difference means that the employee’s rating decreased after the program, and a negative difference means that the employee’s rating increased after the program.
D. A positive difference means that the program was effective, and any negative differences can be ignored.
Answer:
A
Step-by-step explanation:
The answer should be AI hope that's ok if I am wrong pls correct meThe answer is B on the test
This line plot shows how many hours Ella practiced her flute this month. What is the difference, in hours, between the longest practice and the shortest practice?
Answer:
C
Step-by-step explanation:
Longest practice is 2 1/2 hours long
Shortest is 1 1/4 hours long
For difference, subtract 1 1/4 from 2 1/2
Convert mixed to improper fractions
(2*2+1)/2 - (1*4+1)/4
5/2 - 5/4
10/4 - 5/4 = 5/4
Change back to mixed fraction
1 1/4
In a beaded necklace 3/12 are blue and 1/3 are green
The question is: What fractions of the beads are blue or green ?
The answer is: 7/12 of the beads are either blue or green.
50 POINTS!
The two main parts of an equation in Slope-Intercept Forrn are the Slope and the Y-Intercept.
A. True
B. False
Answer:
A
Step-by-step explanation:
(will mark brainliest to whoever responds!) PLEASE HELP ME OUT :)
WIll mark brainliest
Answer:
84
Step-by-step explanation:
The formula for the area of a triangle is 1/2bh. the base is 7, and the height is 24. 7×24=168/2=84ft2
I HOPE THIS HELPS YOU
Find the 95th term of the arithmetic sequence 4, -5, -14
Answer: -842
Step-by-step explanation:
To find n95, we have to use the equation aₙ = d * n + a₁ - d
a₁ is the first term, which here is 4. d is the common difference, which we can find out but seeing what we can add pr subtract from 4 to -5 which also equals -5 to -14, in this equation, the common difference would be -9 as it goes down by 9 every term. Once we plug these into the equation, we get
a₉₅ = -9 * n + 4 - (-9)
We can solve this for - aₙ = -9n + 13
Now that we have our equation to find a term, we can plug in n for 95 for
-9(95) + 13
Which equals -842
3.) Simplify the expression by combining like
terms: 45s^2 - 19 - s^2 + 16
please help i’m sick and don’t understand:(
[tex]45s^2-19-s^2+16\\=45s^2-s^2-19+16\\=s^2(45-1)-19+16\\=44s^2+(-19+16)\\=44s^2-3[/tex]
Hope that helps and hope you get better!
Which of these numbers is not equivalent to the other three? Need answers ASAP
A. 44/8
B. 5 1/2
C. 5 1/5
D. 5.500
Answer:
C. 5 1/5
Step-by-step explanation:
A, B, and D are all 5.5 and C alone is 5.2
Answer:
C is the odd one.Step-by-step explanation:
Let's verify each option.
Option A
44/8 = 40/8 + 4/8 = 5 1/2 = 5 + 0.5 = 5.5Option B
5 1/2 = 5 + 0.5 = 5.5Option C
5 1/5 = 5 + 0.2 = 5.2Option D
5.500 = 5.5Looking at the options, we can see that the result of Option A, B, and D are same.
This means that the odd one is Option C.
Evaluate this friends please ?
Hello.
First, let's recall the Properties of Exponents:
[tex]\displaystyle(\frac{a}{b} )^{m}[/tex]= [tex]\displaystyle\frac{a^{m} }{b^{m}}[/tex]
Let's use this property to simplify the given expression:
[tex]\displaystyle(\frac{9}{16} )^\frac{1}{2}[/tex]
[tex]\displaystyle\frac{9^{\frac{1}{2} } }{16\x^{\frac{1}{2} } }[/tex]
Now, the [tex]\frac{1}{2}[/tex] power means "square root of"
The square root of 9 is 3, and the square root of 16 is 4.
Thus, we have
[tex]\displaystyle\frac{\sqrt{9} }{\sqrt{16} } \\\displaystyle\frac{3 }{4}[/tex]
Therefore, the answer is
[tex]\displaystyle\frac{3}{4}[/tex]
I hope it helps.
Have a nice day.
[tex]\boxed{imperturbability}[/tex]
Find the volume of the sphere. Round your answer to the nearest tenth.
We know,
[tex]{\qquad { \longrightarrow \pmb {\sf Volume_{(Sphere)} = \dfrac{4}{3} \pi {r}^{3} }}}[/tex]
⠀
Here,
Diameter of the sphere is 28 m . Therefore, The radius of the sphere is 14 m.We will take the value of π as [tex]\sf\dfrac{22}{7} . [/tex]⠀
Substituting the values in the formula :
[tex]{ \longrightarrow {\qquad {\sf Volume_{(Sphere)} = \dfrac{4}{3} \times \dfrac{22}{7} \times {\bigg(14 \bigg)}^{3} }}}[/tex]
⠀
[tex]{ \longrightarrow {\qquad {\sf Volume_{(Sphere)} = \dfrac{4}{3} \times \dfrac{22}{7} \times {2744 }}}}[/tex]
⠀
[tex]{ \longrightarrow {\qquad {\sf Volume_{(Sphere)} = \dfrac{4}{3} \times \dfrac{22}{ \cancel7} \times \cancel{2744 }}}}[/tex]
⠀
[tex]{ \longrightarrow {\qquad {\sf Volume_{(Sphere)} = \dfrac{4}{ \cancel3} \times {22} \times \cancel{392 }}}}[/tex]
⠀
[tex]{ \longrightarrow {\qquad {\sf Volume_{(Sphere)} = {4} \times {22} \times {130.66 }}}}[/tex]
⠀
[tex]{ \longrightarrow {\qquad {\pmb{\mathfrak{ Volume_{(Sphere)} = { 11498.66 }}}}}}[/tex]
⠀
Therefore,
Volume of the sphere is about 11500 cubic meters . (Rounded to nearest tenth)Which equation is translated 5 units up from f(x) = 3^x
The parent exponential function is the following:
[tex]f(x)=b^x[/tex], where b is the base.
We can apply many different types of transformations to this function:
[tex]g(x)=a*b^{k(x-d)}+c[/tex]
a ⇒ describes vertical stretchk ⇒ describes horizontal stretchd ⇒ describes horizontal translationc ⇒ describes vertical translationSolving the QuestionIn this question, we are working with vertical translation.
When a function is translated up, c is positive.When a function is translated down, c is negative.We are translating the given function [tex]f(x)=3^x[/tex] 5 units up. This means that we will be adding 5 to the function:
[tex]g(x)=3^x+5[/tex]
Answera. [tex]g(x)=3^x+5[/tex]
Here is a system of linear equations
2x+3y=14
4x-3y=10
Which would be more helpful for solving the system: adding the two equations or subtracting one from the other?
Answer:
adding the 2 equations
Step-by-step explanation:
2x + 3y = 14 → (1)
4x - 3y = 10 → (2)
since the coefficients of the y- terms are opposites then adding will eliminate y
add (1) and (2) term by term
6x + 0 = 24
6x = 24 ( divide both sides by 6 )
x = 4
substitute x = 4 into either of the 2 equations and solve for y
substituting into (1)
2(4) + 3y = 14
8 + 3y = 14 ( subtract 8 from both sides )
3y = 6 ( divide both sides by 3 )
y = 2
solution is (4, 2 )
A wire is in the shape of a rectangle of length 14cm. Find its breadth if the same wire is re- bent into a square of side 13cm. Also find out their areas and write which one encloses more area, the rectangle or square.
Answer:
See below.
Step-by-step explanation:
Area by square = 169
Area by rectangle = 14 x 12 = 168
So more for square hope it helps Alphonsa
In a toy store, the ratio of the number of teddy bears to the number of dolls is 7:3 . If the store has 140 teddy bears , how many dolls are in the store?
Answer:
I prefer to set their units in order so it can help me;
Bears/Dolls7 Bears 140 bears
_______ = _______
3 Dolls x
⇒ 7 Bears x20 140 bears
_______ = _______ , 3(20) = 60 Dolls
3 Dolls x20 x
24 candy bars cost $48.
How much do 10
candy bars cost?
help meh out please:)
The distance between two points is the number of units between them
The distance between the oak tree and the maple tree is 9 yards
How to determine the distance?From the diagram, we have the following highlights:
The distance between the maple tree and the end is [tex]28\frac 26[/tex] yardsThe distance between the oak tree and the end is [tex]11\frac 36 + 7\frac 56[/tex] yardsThe distance (d) between the oak tree and the maple tree is the difference between the above measurements.
So, we have:
[tex]d = 28\frac 26 - (11\frac 36 + 7\frac 56)[/tex]
Simplify the expression in the bracket
[tex]d = 28\frac 26 - (19\frac 26)[/tex]
Subtract
[tex]d = 9[/tex]
Hence, the distance between the oak tree and the maple tree is 9 yards
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The distance between the maple tree and the oak tree is 9 yards
The distance between the maple tree and the end is 28 2 / 6 yards(170 / 6)
The distance between the oak tree to the end is the sum of oak to pine and pine to the end. Therefore,
11 3 / 6 + 7 5 / 669 / 6 + 47 / 6 = 69 + 47 / 6 = 116 / 6 = 58 / 3 yardsTherefore, the distance between the maple tree and the oak tree is as follows;
Difference:Difference is the subtraction of one number from another. Therefore, the distance between the maple tree and the oak tree is the difference between the maple tree to the end and the sum of oak to pine and pine to the end.
170 / 6 - 58 / 3 = 170 - 116/ 6 = 54 / 6 = 18 / 2 = 9 yardsTherefore, the distance between the maple tree and the oak tree is 9 yards
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