Answer: because if you have a argument you have all.
Step-by-step explanation:
Slope intercept form (-6,19) and (3,-2)
Answer:
-7/3 or -2.3
Step-by-step explanation:
1. y2-y1 divided by x2-x1 which would be y2-y1/x2-x1
2. plug in : -2-19/3-(-6)
4. Solution ( -7.3 or -2.3 )
Answer:
[tex]y = -\dfrac{7}{3}x +5[/tex]
Step-by-step explanation:
The general equation of a line in slope-intercept form is
y = mx + b
where m = slope and b = y-intercept is rise over run
[tex]m = \dfrac {(y_{2} - y_{1})} {(x_{2} - x_{1})}[/tex]
where (x₁, y₁) and (x₂, y₂) are any two points on the line
For the line passing through (-6, 19) and (3, -2) , the slope
[tex]m = \dfrac{-2 - 19}{3 - (-6)}\\\\[/tex]
[tex]\\\\m= \dfrac{-21}{9}[/tex]
[tex]m = -\dfrac{7}{3}[/tex]
So slope-intercept form is
[tex]y = -\dfrac{7}{3}x +b\\\\[/tex]
To compute y-intercept, b, plug in any of the two points into the above equation and solve for b
Let's choose point (3, -2)
Plugging x = 3 and y = -2 gives
[tex]-2 = -\dfrac{7}{3}\cdot 3 +b\\\\\\\\-2 = -7 + b\\\\[/tex]
So equation of line is
[tex]y = -\dfrac{7}{3}x +5[/tex]
What are five sets of integers that has a mean of -10.
Can you please explain how to get the answer also. :)
The five sets of integers that has a mean of -10 will be 10, -15, -2, -12, and -11.
How to calculate the value?It should be noted that mean simply means average. Therefore, the numbers that will give a mean of -10 will be:
-10, -15, -2, -12, and -11.
Therefore, the mean will be:
= ( - 10 + -15 + -2 + -12 + -11) / 5
= -50 / 5
= -10
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Solve each equation. If necessary, round to the nearest ten-thousandth. log (5 x-4)=3
The solution of the given equation by rounding off it to the nearest ten-thousandth is 4.8170.
What is a round-off of the digit?
In mathematics, a round-off is defined as an approximation of the given number to a fewer number of significant digits by taking into consideration some rules.
For eg: 13.58 ~ 13.6
Solving the given equation: - log (5x - 4)=3
We are given a logarithmic expression: log (5x - 4)=3
We know that e^(log b) = b
Using exponential on both sides, we have
e^(log (5x - 4)) = e^3
5x - 4 = 20.085
5x = 24.085
x = 4.817
Hence, the solution of the given equation rounded off to the nearest ten-thousandth is 4.8170.
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can someone please help me(10 points will give brainliest!!!)
Please help me with this question
Simplifying the given expression ( (-9(8-6)³ )/4 ) + ((1/2)(10-4)² )/( 4²÷2⁴) gives a result of 0.
Evaluating the expression gives?Given the expression in the question;
( (-9(8-6)³ )/4 ) + ((1/2)(10-4)² )/( 4²÷2⁴)
First, perform the operations inside the parenthesis
( (-9(8-6)³ )/4 ) + ((1/2)(10-4)² )/( 4²÷2⁴)
( (-9(2)³ )/4 ) + ((1/2)(6)² )/( 4²÷2⁴)
Raise 2 to power 3, 6 to power 2, 4 to power 2 and 2 to power 4
( (-9(8) )/4 ) + ((1/2)36 )/( 16 ÷ 16)
Perform the operations in the parenthesis
-72/4 + 18/1
Divide -74 by 4
-72/4 + 18/1
-18 + 18
Negative 18 and positive 18 cancels out each other.
-18 + 18
0
Therefore, simplifying the given expression ( (-9(8-6)³ )/4 ) + ((1/2)(10-4)² )/( 4²÷2⁴) gives a result of 0.
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Column 1 Sections of a Lab
Report
19. Problem or Question
20. Hypothesis
21. Materials
22. Procedure
23. Observations
24. Analysis
25. Conclusion
Column 2 Information to Use in a Lab Report
a. If you increase the water temperature, then the yeast will
give off more gas.
b. After five minutes, Balloons A and B expanded.
c. Yeast give off more gas at higher temperatures.
d. What factors help yeast to grow?
e. Balloon B became bigger than Balloon A, so that means
that the yeast in Balloon B gave off more gas.
f. Combine the yeast, sugar and water in a bottle. Put a
balloon on the bottle.
g. Yeast, sugar, warm and cool water, containers
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Match the directed line segment with the image of polygon P being transformed polygon Q by translation by the directed line segment
The directed line segment for all the given transformations to match the transformed line segment from translation 1 to translation 4.
How to Interpret Translation of line segments?In this question, the translations are defined by a line segment.
Such that in each translation, we can easily find the segment PQ (the measure and the direction).
And all the points in the Polygon P will be connected by that same segment PQ to the equivalent point in the Polygon Q. (where you only move the segment to the correct location, but the length and direction remains constant)
Thus, to find the line segment for each transformation, you need to correctly measure the length of the segment PQ, and also the direction (that can be defined by an angle).
With the above, we can find the directed line segment for all the given transformations to match the transformed line segment from translation 1 to translation 4.
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Archie and three friends go on holiday together for a week.
The costs of the holiday will be shared equally between the 4 friends.
These are:
1) £1360 for 4 return plane tickets.
2) £850 for the accommodation.
3) £210 for the care hire for a week.
How much does Archie have to pay for his share of the costs?
The amount that Archie has to pay for his share of the costs is £605
What is the amount of total cost for the holiday?
The total costs of the holiday comprise of plane tickets, accommodation as well as the care hire for a week, in essence, the total costs to be shared equally among the four friends is as shown below:
total costs of holiday=£1360+£850+ £210
total costs of holiday=£2420
Archie's share of costs=£2420/4
Archie's share of costs=£605
In other words, the cost of the holiday, in this case, is not just plane ticket, accommodation cost as well as the cost of care hire, without any of the those , the holiday experience is not complete
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Scott is 6 feet tall and casts a shadow that is 8 feet long. a nearby tree cast a show that is x+5 feet long. how tall is the tree? how long is the trees shadow?
The height of the tree is 15 feet if Scott is 6 feet tall and casts a shadow that is 8 feet long.
What is a scale factor?The ratio among comparable dimensions of an object and a model with that object is known as an exponent in algebra. The replica will be larger if the scale factor is a whole number. The duplicate will be lowered if the step size is a fraction.
It is given that:
Scott is 6 feet tall and casts a shadow that is 8 feet long. a nearby tree casts a show that is x+5 feet long
By using scale factor:
Let x be the height of the tree
x/6 = = (x + 5)/8
8x = 6(x + 5)
8x = 6x + 30
2x = 30
x = 15 feet
Thus, the height of the tree is 15 feet if Scott is 6 feet tall and casts a shadow that is 8 feet long.
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La suma de dos números es 91 y están en la razón 4 : 3. Calcula el valor de cada número.
The value of each number is 52 and 39.
The ratio given is = 4 :3
Given, the sum of x + y = 91
(4n) + (3n) = 91
7n = 91
n = 13
So,
x = a*n = 4*13 = 52
y = b*n = 3 *13= 39
The ratio of 52:39 is 4:3.
The sum 52+39 = 91
Hence, the numbers are 39 and 52.
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I need help with number 2
What is the question?
is y = 2x a function? yes or no
Answer:
Yes.
Step-by-step explanation:
A good test to do is the vertical line test. You draw the equation you're trying to determine is or isn't a function, and then draw a vertical line through it, if it goes through once it is a function. If twice then it is not a function. Hope this helps. :)
Solve each equation. log 5x+1=-1
Answer:
[tex]5x = - 1 - 1 = 5x \div 5 = - 2 \div 5 = 2 \div 5[/tex]
In 1992, the moose population in a park was measured to be 3590. by 1999, the population was measured again to be 4500. if the population continues to change linearly p(t)= ____ b.) what does your model predict the moose population to be in 2006?
population at 1992 = 3590
Population after Seven years (1999) = 4500
Given two points (t1, P1) and (t2, P2), the slope of the line m can be found.
p1 = (1992, 3590) and p2 = (1999, 4500)
m= ΔP/Δt
m= ((4500-3590))/((1999-1992))
m = 910/7
m=130 is the slope
The linear population function P(t) is
P(t)=130t + P0
Find the Y-Intercept P0
The population function P(t) is measured since the year 1990, year zero. The first moose population was measured in 1992, one year later. This provides an initial condition P (1) = 4500.
P (1) =130 (1) + P0 = 4500
P0 = 4370
P(t)=20t+4630
The moose population P(t) changes linearly year after year. The population function P(t) is measured in terms of t years since 1990.
t= 1990, P (0) =4370
t =1992, P (1) =130 (1) + 4370 = 4500 matches data
t=1999, P (2) = 130(2) + 4370 = 4630
t=2006, P (3) = 130(3) + 4370 = 4760
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If you rotated the points (0,-1) (-4,-2) (-4,-4) to a 180 degree angle on a graph what would the new points be?
Answer: (-2,3) (1,4) (-1,-4) (2,-3) the answer would be -16,1
Step-by-step explanation: graphing it
Evaluate each logarithm.
log₂ 16
The answer to the given logarithm expression is log₂ 16 = 4
A power to which a number must be increased in order to achieve another value is referred to as a logarithm. The easiest way to represent enormous numbers is in this way.
The fact that addition and subtraction logarithms can be used to multiply and divide logarithms is supported by a number of significant features of logarithms. The use of logarithmic operations is subject to a set of rules. These guidelines are known as: Division regulations apply to products. Exponential/Power Law Changes to fundamental laws Rule of Base Change Log elaboration
We need to evaluate log₂ 16
Using the property logₐ (mⁿ) = n logₐ m
16 = 2⁴log₃ 125 can be written as
log₂ 16 = 4 log₂ 2
We know that logₐ a = 14 log₂ 2= 4
Hence , we evaluated the logarithm which is log₂ 16 = 4
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Lesson 10: Connecting Equations to Graphs
(Part 1)
Cool Down: Kiran at the Carnival
Kiran is spending $12 on games and rides at another carnival, where a game costs $0.25
and a ride costs $1.
1. Write an equation to represent the relationship between the dollar amount Kiran is
spending and the number of games, , and the number of rides, , he could do.
2. Which graph represents the relationship between the quantities in this situation?
Explain how you know.
The equation to represent the relationship between the dollar amount Kiran is spending and the number of games and the number of rides is 0.25x + y = 12
The graph that represents the relationship between the quantities in this situation is graph C.
How to illustrate the information?It should be noted that the equation will be:
25x + 100y = 1200 in cents
or 0.25 x + y = 12 in dollars
where
x= games
y= rides
The graph that will connect the x axis and y axis at the points where x= 48 and y= 12, Only graph C seems to have a line that may end at x=48. Therefore, the correct option is C.
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if 2x = 32
find the value of x
Answer:
x = 16
Half of 32 is 16
Therefore, 2 × x(16) = 32
. slope
= -3, (0,0)
Write in standard form
Answer:
y= -3x
Step-by-step explanation:
the equation is " y = (slope)x + (y-intercept) " hope this helps !!
3) The number of sodas you buy VS the total money spent
a) IV:
b) DV:
Answer:
Step-by-step explanation:
the independent variable is money.
sodas are the dependent.
the amount of sodas you buy are dependent on the amount of money you have.
Suppose a population of 160 crickets doubles in size every month. The function
f(x) = 160:2* gives the population after x months. How many crickets will there be after 2
years?
O2,684,354,560 crickets
O640 crickets
07,680 crickets
O655,360 crickets
Answer:
1. no
2. 2,684,354,560 crickets
3. $9,200
4. b
5. 7.5
6.b
In Δ ABC, m ∠ B=26°, a=20 in., and c=10 in. Find b .
Answer:
[tex]b = 10\sqrt{5-4\cos 26^{\circ}}[/tex]
Step-by-step explanation:
Using the Law of Cosines,
[tex]b^2 = a^2 + c^2 - 2ac \cos B \\ \\ b^2 = 20^2 + 10^2 - 2(20)(10)\cos 26^{\circ} \\ \\ b=\sqrt{500-400\cos 26^{\circ}} \\ \\ =10\sqrt{5-4\cos 26^{\circ}}[/tex]
Simplify. Rationalize all denominators. 10∛81 - 8∛24
Simplifying the problem by rationalizing all denominators will give result [tex]14\sqrt[3]{3}[/tex]
Lets begin by simplifying the equation;
[tex]10\sqrt[3]{81} - 8\sqrt[3]{24}[/tex]
The result is;
[tex]10 * 3 \sqrt[3]{3} - 8* 2*\sqrt[3]{3}[/tex]
[tex]30\sqrt[3]{3} -16\sqrt[3]{3}[/tex]
Let [tex]\sqrt[3]{3}[/tex] be a
Thus; 30a -16a= 14a
But a is [tex]\sqrt[3]{3}[/tex]
The final solution to this equation is thus;
[tex]14\sqrt[3]{3}[/tex]
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whats the answer ? Its really hard
Putting together the solutions from each of the equations, the 4 letter code is GFBA
Solving Linear EquationsFrom the question, we are to solve each of the linear equations to determine the 4 LETTER CODE
1. -2x + 1 = 3x + 16
Add 2x to both sides
-2x + 2x + 1 = 3x + 2x + 16
1 = 5x + 16
Subtract 16 from both sides
1 - 16 = 5x + 16 - 16
-15 = 5x
x = -15/5
x = -3
The letter that corresponds to this is G
2. 7 - 8x = 4x - 17
Add 8x to both sides
7 - 8x + 8x = 4x + 8x -17
7 = 12x - 17
Add 17 to both sides
7 + 17 = 12x - 17 + 17
24 = 12x
x = 24/12
x = 2
The letter that corresponds to this is F
3. 20 -2(x - 2) = 2x
Clear the parentheses
20 -2x + 4 = 2x
Simplify
24 -2x = 2x
Add 2x to both sides
24 - 2x + 2x = 2x + 2x
24 = 4x
x = 24/4
x = 6
The letter that corresponds to this is B
4. 5(x + 4) = 6x - 5
Clear the parentheses
5x + 20 = 6x - 5
Subtract 5x from both sides
5x - 5x + 20 = 6x - 5x - 5
20 = x - 5
Add 5 to both sides
20 + 5 = x - 5 + 5
25 = x
x = 25
The letter that corresponds to this is A
Hence,
The code is GFBA
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What is the answer to B? I need help with B
Answer:
B) 600000
Step-by-step explanation:
First we need to answer A
13822×623/14 = 615,079
B) 615,079 = 600000
The sum of three consecutive odd num
What is the smallest of the three numbers?
Anna ordered 200 party favors. she
received only 1/10 of the party favors
she ordered. how many party favors
did anna receive?
Answer: 20
Step-by-step explanation: She received 1/10 of the party favors, and 1/10 of 200 is 20.
Anna ordered 200 party favors, she received only 1/10 of the party favors
she ordered, i.e., Anna received 20 party favors.
Here, given that, Anna ordered 200 party favors. she received only 1/10 of the party favors she ordered.
Now, we have to find out how many party favors Anna received,
we need to calculate 1/10 of the total number of party favors she ordered.
Anna ordered 200 party favors, and she received only 1/10 of that amount.
As, we know that, 'of' indicates 'multiplication'
so, we have to find 1/10 of 200, so that, we multiply 200 by 1/10:
1/10 * 200
= 200/10
= 20
i.e. She received 1/10 of the party favors, and 1/10 of 200 is 20.
So, Anna received 20 party favors.
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The data in this table represents a linear function.
What is the slope of this line?
Y
-16
-24
-44
X -48
6
8
13
14
The slope of the line whose data represents a linear function is m = -1/4.
What is Slope of a line?Slope of an straight line is denoted by m and is the measure of rate of change of 'y' with respect to 'x'. Mathematically -
m = tan(θ) = Δy/Δx
Given is a table representing a linear function. From the question, we can write -
X → 6 8 13 14
Y → -16 -24 -44 -48
We can find the slope of this line using the formula -
m = Δy/Δx
m = (y₂ - y₁) / (x₂ - x₁)
Take any two coordinates from the table -
(x₁, y₁) → (6, -16)
(x₂, y₂) → (8, -24)
Substitute the values in the formula -
m = (8 - 6)/(-24 + 16)
m = - 2/8
m = -1/4
Therefore, the slope of the line whose data represents a linear function is m = -1/4.
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a group of friends are at a baseball game and are purchasing souvenirs. Lacey purchased 4 t-shirts and 2 baseball caps, spending a total of $162. Her Anna purchased 1 t-shirt and 2 baseball caps, which cost her a total of $93. Assuming that all of the t-shirts and all of the caps are the same price, what is the price of each?
The price of each souvenirs is 28.33 Dollars.
Let X be the same price of all the t-shirts and all the baseball caps.
Lacey purchased
4 T-shirts and 2 Baseball caps = $162
4X + 2X = $162
6X = $162
Anna purchased
1 T-shirt and 2 Baseball caps = $93
1X + 2X = $93
3X= $93
Now we will add the price of souvenirs purchased by Lacey and Anna to find the price each souvenir.
6X = $162 eq. 1
3X= $93 eq. 2
As we have two equations we will add both equations :
6X + 3X = $162 + $93
Then we will determine the value of X .
9X = $255
X = $255 ÷ 9
X = $28.33
Hence the price of each souvenirs is $28.33 .
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is this correct (just to make sure)
Answer:
yes
Step-by-step explanation: