Answers
Related Questions
Where is the dependent variable plotted on a line graph?
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Write 0.000045 in scientific notation.
The options are:
A. 4.5 · 10-4
B. 4.5 · 10-6
C. 4.5 · 10-5
D. 4.5 · 105
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SO, OPTION C IS YOUR ANSWER.
Which expression gives the distance between the points (2, 5) and (-4, 8)?
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The expression for the distance between the points (2, 5) and (-4, 8) is the square root of 45 or 3√5, which is approximately 6.708.
Explanation:The expression that gives the distance between the points (2, 5) and (-4, 8) is found using the distance formula which is derived from the Pythagorean theorem. The formula is √((x2 - x1)² + (y2 - y1)²), where (x1, y1) and (x2, y2) are coordinates of the two points.
To find the distance between (2, 5) and (-4, 8), substitute x1=2, y1=5, x2=-4, and y2=8 into the formula:
√((-4 - 2)² + (8 - 5)²) = √((-6)² + (3)²) = √(36 + 9) = √45
The distance is therefore the square root of 45, which can be simplified to 3√5 (approximately 6.708).
Final answer:
The distance between the points (2, 5) and (-4, 8) is calculated using the distance formula, resulting in 3√(5) units.
Explanation:
The distance between the points (2, 5) and (-4, 8) can be calculated using the distance formula, which is derived from the Pythagorean theorem. The distance formula is √((x2 - x1)² + (y2 - y1)²), where (x1, y1) and (x2, y2) are the coordinates of the two points. Substituting the given values, the distance d can be calculated as follows:
√((-4 - 2)² + (8 - 5)²) = √((-6)² + (3)²) = √(36 + 9) = √(45) = 3√(5)
Therefore, the distance between the points (2, 5) and (-4, 8) is 3√(5) units.
can u do this bro 100x7+8-678x56
Answers
Answer:
-37260
Step-by-step explanation:
did it in my head
A(n) ______ is a letter or symbol that represents some unknown value.
A. term
B. equation
C. variable
D. expression
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hope this helps you
For example, if you have the equation 6x=47
You are trying to find the value of "x"
So x is unknown
Hope this helps!
What are prime numbers of 50?
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A circular garden has a radius of 12 feet. what is the approximate circumference of the garden?
a. 1808.6 ft
b. 452.2 ft
c. 75.4 ft
d. 37.7 ft
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r being your radius
Answer:
37.7
Step-by-step explanation: K12
What is the simplified form of (x – 2)(2x +3)? Use the Distributive Property.
2x2 – x – 6
2x2 – 6
2x2 – 7x – 6
2x2 + x – 6
2. What is the simplified form of (3x + 2)(4x – 3)? Use a table.
12x2 + 18x + 6
12x2 + x – 6
12x2 + 18x – 6
12x2 – x – 6
3. What is the simplified form of (4p – 2)(p – 4)?
4p2 + 6p – 16
4p2 – 18p + 8
4p2 – 14p – 6
4p2 – 6p + 16
4. The radius of a cylinder is 3x – 2 cm. The height of the cylinder is x + 3 cm. What is the surface area of the cylinder? Use the formula A = 2r2 + 2rh.
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the answer is 2x² – x – 6
2) (3x + 2)(4x – 3) =12x²-9x +8x -6
the answer is 12x2 – x – 6
3) (4p – 2)(p – 4) = 4p²-16p-2p+8
the answer is 4p2 – 18p + 8
4) since A = 2r2 + 2rh
so A = 2(3x – 2)² + 2(3x – 2)(x + 3)
= (3x – 2) ( 2(3x – 2) + 2 (x + 3))
A =(3x – 2) ( 10x+2)
Answer:
Step-by-step explanation:
A. The given equation is:
[tex](x-2)(2x+3)[/tex]
simplifying this,
[tex]2x^{2}-4x+3x-6[/tex]
[tex]2x^{2}-x-6[/tex]
Option A is correct
B. The given equation is:
[tex](3x+2)(4x-3)[/tex]
simplifying this,
[tex]12x^{2}+8x-9x-6[/tex]
[tex]12x^{2}-x-6[/tex]
Option D is correct.
C. The given equation is:
[tex](4p-2)(p-4)[/tex]
simplifying this,
[tex]4p^2-2p-16p+8[/tex]
[tex]4p^2-18p+8[/tex]
Option B is correct.
D. The radius of a cylinder is 3x – 2 cm. The height of the cylinder is x + 3 cm. Then,
Surface area of cylinder=[tex]2r^{2}+2rh[/tex]
=[tex]2r(r+h)[/tex]
=[tex]2(3x-2)(3x-2+x+3)[/tex]
=[tex]2(3x-2)(4x+1)[/tex]
=[tex]2(12x^{2}-8x+3x-2)[/tex]
=[tex]24x^{2}-10x-4[/tex]
Therefore, Surface area of cylinder=[tex]24x^{2}-10x-4[/tex] sq units
What is 324 divided by 6??
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what does it mean for an equation to be balanced and why must you keep an equation in balance?
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Chemical equation balance is to make sure that there are the same number of atoms of a given element in the right side than in the left side.
It is a chemical principle, the atoms do not create or destroy in a chemical reaction, then you have to count the same number of every kind of atoms in the left side than in the right side.
For example:H2 + O2 -> H2O is not balanced because there two atoms of oxygen in the left side and 1 atom of oxygen in the right side.
To balance this equation you have to insert coefficients:
2H2 + O2 -> 2H2O. Now you have 4 atoms of hydrogen in each side, and 2 atoms of oxygen in each side, making sure that none atoms was created or destroyed in the reaction.
If $2500 is invested at an interest rate of 2.5% per year, compouded daily, find the value of the inevestment after 2 years
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One year there was a total of 73 commercial and noncommercial orbital launches worldwide. In addition, the number of noncommercial orbital launches was one more than three times the number of commercial orbital launches. Determine the number of commercial and noncommercial orbital launches.
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Final answer:
The number of commercial orbital launches is 18, and the number of noncommercial orbital launches is 55.
Explanation:
Let's assume that the number of commercial orbital launches is represented by x. According to the problem statement, the number of noncommercial orbital launches is more than three times the number of commercial orbital launches. So, the number of noncommercial orbital launches would be 3x + 1.
Given that the total number of commercial and noncommercial orbital launches is 73, we can set up the equation:
x + (3x + 1) = 73
Combining like terms, we get:
4x + 1 = 73
Subtracting 1 from both sides, we get:
4x = 72
Dividing both sides by 4, we get:
x = 18
Therefore, there were 18 commercial orbital launches and 55 noncommercial orbital launches.
The number of commercial orbital launches is 24, and the number of noncommercial orbital launches is 49.
Explanation:Let's assume that the number of commercial orbital launches is represented by 'x'. According to the question, the number of noncommercial orbital launches is one more than three times the number of commercial orbital launches. So, the number of noncommercial orbital launches can be represented by '3x + 1'.
Given that the total number of commercial and noncommercial orbital launches is 73, we can set up the equation 'x + (3x + 1) = 73' to represent the total launches. Solving this equation will give us the values of 'x' and '3x + 1', which represent the number of commercial and noncommercial orbital launches, respectively.
By solving the equation, we find that 'x = 24' and '3x + 1 = 73 - 24 = 49'.
Given the trinomial 5x2 - 2x - 3, predict the type of solutions.
Two rational solutions
One rational solution
Two irrational solutions
Two complex solutions
Answers
One rational solution
proof
5x2 - 2x - 3=0, the sum of coefficients is 5-2-3=0, so the equation has exactly two solutions, x=1, and x = -3/5 this last is the one rational solution
Answer:
Two rational solutions. This is the right answer
Step-by-step explanation:
Help Please? Factor Completely: 2x2 − 32
Prime
2(x2 − 16)
2(x + 4)(x + 4)
2(x + 4)(x − 4) ...?
Answers
Answer:
Option 4th is correct
[tex]2 \cdot (x-4)(x+4)[/tex]
Step-by-step explanation:
Using difference of square:
[tex]a^2-b^2=(a-b)(a+b)[/tex]
GCF is the largest number that divide the given polynomial or expression.
Given the expression:
[tex]2x^2-32[/tex]
We have to completely factor the expression.
GCF of [tex]2x^2[/tex] and 32 is, 2
then;
[tex]2 \cdot (x^2-16)[/tex]
Using difference of square
[tex]2 \cdot (x-4)(x+4)[/tex]
therefore, the completely factor of [tex]2x^2-32[/tex] is, [tex]2 \cdot (x-4)(x+4)[/tex]
Answer:
D. 2(x + 4)(x − 4)
Step-by-step explanation:
You want to put $2,500 in a simple interest account. It has a 4% annual interest rate. How long will it take you to earn $200 in interest? 2nd question of the day. See if you can answer it.
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Solve and graph the absolute value inequality: |2x + 4| > 8. number line with open circles on negative 6 and 2, shading in between. number line with closed circles on negative 6 and 2, shading going in the opposite directions. number line with open circles on negative 6 and 2, shading going in the opposite directions. number line with open circles on negative 2 and 2, shading going in the opposite directions.
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Solving 2x+4 > 8 leads to...
2x+4 > 8
2x+4-4 > 8-4
2x > 4
2x/2 > 4/2
x > 2
Solving 2x+4 < -8 leads to...
2x+4 < -8
2x+4-4 < -8-4
2x < -12
2x/2 < -12/2
x < -6
So either x > 2 or x < -6
You'll have 2 open circles at 2 and -6 on the number line. The shaded region will be the region to the left of -6 and to the right of 2. Basically everything but in between -6 and 2
Final answer:
The inequality |2x + 4| > 8 is resolved by considering the inside expression being greater than 8 and less than -8, which leads to x > 2 and x < -6. The proper representation on a number line is with open circles on -6 and 2, shading away from these points, indicating the range of solutions.
Explanation:
To solve the absolute value inequality |2x + 4| > 8, we must consider the two scenarios that could make the inequality true: when (2x + 4) is greater than 8 and when -(2x + 4) is less than -8. Absolute values denote the distance from zero, so they are never negative. Since the inequality is strict (indicated by '>'), we will use open circles in the graph.
First, let's consider when the expression inside the absolute value is positive:
2x + 4 > 8
2x > 4
x > 2
This scenario corresponds to all x-values greater than 2.
Now for the negative scenario:
-(2x + 4) > 8
-2x - 4 > 8
-2x > 12
x < -6
This scenario corresponds to all x-values less than -6.
The correct graph of the solution set on a number line would have open circles on -6 and 2, with shading going in opposite directions away from these points, indicating all the numbers greater than 2 and all the numbers less than -6 satisfy the original inequality.
Based on this, the third choice is correct: A number line with open circles on negative 6 and 2, shading going in the opposite directions.
What is the lateral area of a pyramid with base edges 5ft and surface area 55ft^2? ...?
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The surface area (SA) of a pyramid is the sum of lateral area (LA) of the pyramid and the area of its base (BA):
SA = LA + BA
The area of the pyramid base (which is a square) with base edge a is:
BA = a²
We have:
SA = 55 ft²
LA = ?
a = 5 ft
LA = SA - BA = SA - a²
LA = 55 - 5²
LA = 55 - 25
LA = 30 ft²
What is one half plus one fifth?
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Solve the system using elimination 4x-7y=3
x-7y=-15
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Answer: x=6 and y=3
Step-by-step explanation:
4x - 7y = 3 -------(1)
x - 7y = -15 ------(2)
equation(1) - equation (2)
3x = 18
Divide bothside by 3
x = 18/3
x= 6
also, multiply equation (2) by 4
4x - 28y = -60--------------(3)
subtract equation(3) from equation(1)
21y = 63
divide bothside by 21
y = 63/21
y = 3
joe is a waiter at a local pizza parlor. he usually gets a tip from the tables he waits on. the bill for one table comes to $34
write a formula that will help joe determine how much of a tip he'll recieve from that table.
p= percent tip
t=tip left for the waiter
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T= tip for him
P= percent he charges for tip
For any given rational function, differentiate between a function’s vertical and horizontal asymptotes. In two or more complete sentences, make a connection between the asymptotes and the function’s domain and range.
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Consider the function
f(x) = [tex]\frac{x-3}{x-4}[/tex]
Domain of the function = All real numbers except , x≠4 .
[tex]y=\frac{x-3}{x-4} \\\\ xy - 4y = x-3 \\\\ x y -x= 4 y-3\\\\ x=\frac{4 y-3}{y-1}[/tex]
Range = All real numbers except , y≠1 .
Horizontal Asymptote= Since the degree of numerator and denominator of rational function is same , So Divide coefficient of x in numerator by divide coefficient of x in denominator.
So Horizontal Asymptote , is : y=1
To get vertical asymptote, put
Denominator =0
x-4=0
x=4 , is vertical asymptote.
Domain = All real numbers except vertical Asymptote
Range = All real numbers except Horizontal Asymptote
Final answer:
The vertical asymptotes of a rational function can be found by determining the roots of the polynomial in the denominator, while the horizontal asymptotes can be determined by analyzing the behavior of the function as x approaches infinity. The asymptotes are closely related to the function's domain and range.
Explanation:
Vertical asymptotes of a rational function can be determined by finding the roots of the polynomial in the denominator. Each root corresponds to a vertical asymptote. For example, if the polynomial has a factor of (x - 2), then there is a vertical asymptote at x = 2.
On the other hand, horizontal asymptotes of a rational function can be found by analyzing the behavior of the function as x approaches positive or negative infinity. If the leading terms of the numerator and denominator have the same degree, then the function will have a horizontal asymptote. For instance, if the leading terms are both x^2, then the horizontal asymptote will be y = 0.
The domain of the function is the set of all valid inputs, while the range is the set of possible outputs. The vertical asymptotes and the behavior of the function as x approaches infinity are closely related to the domain, while the horizontal asymptotes are related to the range.
Your car gets 20 miles per gallon of gas. This is 4 more miles per gallon than your friend's car gets. How many miles per gallon does your friend's car get?
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Answer:
Answer:
16 miles per gallon
Step-by-step explanation:
If A is an obtuse angle in a triangle and sin A is 5/13, calculate the exact value of sin 2A
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sin 2 A = 2 sin A cos A
sin 2 A = 2 · 5/13 · ( - 12/13 ) = - 120 / 169
Pleeease help!!
Write an equation in point-slope form of the line that passes through the given point and with the given slope m.
(-2,1);m=7
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suppose you went to a carnival. the price in was $6, and you paid $0.50 to get on each ride. if you went to the carnival and rodeo 11 rides, how much did you spend?
suppose you went to a carnival. the price in was $6, and you paid $0.50 to get on each ride. if you went to the carnival and rodeo 11 rides, how much did you spend?
Answers
Answer: 11.50
Step-by-step explanation:
6$ to get in+ rides=$
11(rides)*.50(price of rides)=5.50
5.50+6=$11.50
Mrs. Curtis wants to buy online tickets for a concert. Two options are given here.
Option 1: $53 for each ticket plus a shipping fee of $10
Option 2: $55 for each ticket and free shipping
What is a system of equations to represent the costs of the tickets?
Express your equations in the form of y=mx+by=mx+b where x is the number of tickets purchased and y is the total cost.
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y = 53x + 10
y = 55x
The price of a gallon of milk is 3.75. circle the price of milk rounded to the nearest dollar
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what are the two types of exponential functions?
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The two types of exponential functions are:
Exponential Growth: exponential growth function is [tex]y = a^x[/tex], where "a" is the base and "x" is the exponent.
Exponential Decay: exponential decay function is [tex]y = a^{(-x)[/tex], where "a" is the base and "x" is the exponent.
The two types of exponential functions are:
Exponential Growth: In an exponential growth function, the base (often denoted by "a") is greater than 1.
As the input (x) increases, the output (y) grows at an increasing rate, creating a steep upward curve on the graph.
The general form of an exponential growth function is [tex]y = a^x[/tex], where "a" is the base and "x" is the exponent.
Exponential Decay: In an exponential decay function, the base (often denoted by "a") is between 0 and 1 (exclusive).
As the input (x) increases, the output (y) decreases at an increasing rate, creating a steep downward curve on the graph.
The general form of an exponential decay function is [tex]y = a^{(-x)[/tex], where "a" is the base and "x" is the exponent.
Both types of exponential functions show rapid growth or decay patterns, and their graphs exhibit a characteristic curve that is continuous and smooth.
The difference lies in the behavior of the output (y) concerning the input (x).
In exponential growth, the output increases exponentially with increasing input, while in exponential decay, the output decreases exponentially as the input increases.
To learn more on exponent number click:
brainly.com/question/19467739
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Which expression is equal to 5/(sqrt)11?
a) 5(sqrt)11/11
b) (sqrt)5/11
c) (sqrt)55/11
d) 25/11
please help, I'm confused.
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In this case:
if you want to delete the roots in the denominator you have to multiply the numerator and the denominator by √11; therefore:
(5/√11)(√11/√11)=5√11/11.
answer; a)5√11/11
Answer:
Option A is correct
the expression is equal to [tex]\frac{5}{ \sqrt{11}}[/tex] is [tex]\frac{5\sqrt{11}} {11}[/tex]
Explanation:
Given expression is, [tex]\frac{5}{ \sqrt{11}}[/tex]
Multiply and divide by the denominator by [tex]\sqrt{11}[/tex] in the given expression, we have,
[tex]\frac{5}{\sqrt{11}} \times \frac{\sqrt{11}} { \sqrt{11}}[/tex]
or
[tex]\frac{5 \cdot \sqrt{11}} {\sqrt{11} \cdot \sqrt{11}}[/tex]
use : [tex]\sqrt{a}\cdot\sqrt{a}=(\sqrt{a} )^2 = a[/tex]
then;
[tex]\frac{5\sqrt{11}} { (\sqrt{11})^2} =\frac{5\sqrt{11}} {11}[/tex]
Therefore, the expression is equal to [tex]\frac{5}{ \sqrt{11}}[/tex] is, [tex]\frac{5\sqrt{11}} {11}[/tex]
Solve by factoring.
3q^2+q-14=0
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In all you will get (q+7) (q-6)