Drag and Drop to label the correct y-intercept, slope, equation for the line below. m = -4 y = 4x + 2/5 -10- m = 2/5 LO 5 Drop Area 0 Equation: Drop Area Drag and drop the correct choice into the drop areas on the image above m = -2/5 b=10 5 b=4 I b=2/5 Drop Area 10 y=-2/5x+4 y = - 4x + 10
The correct y-intercept, slope, and equation for the line include the following:
Slope, m = -2/5.Equation for the line = y = -2x/5 + 4y-intercept = 4.How to calculate the slope of a straight line?Mathematically, the slope of any straight line can be calculated by using this formula;
Slope, m = (Change in y-axis, Δy)/(Change in x-axis, Δx)
Slope, m = (y₂ - y₁)/(x₂ - x₁)
Note: Each interval on this graph represents 1 unit.
By critically observing the graph, we can reasonably and logically deduce the following points through which the line passes through:
Points (x, y) = (0, 4)
Points (x, y) = (10, 0)
Substituting the given parameters into the formula, we have;
Slope, m = (0 - 4)/(10 - 0)
Slope, m = -4/10
Slope, m = -2/5.
At point (0, 4), a linear equation for the line can be calculated by using the slope-intercept form:
y = mx + c
Where:
m represents the slope.x and y represent the points.c represents the y-intercept.Substituting the given parameters into the formula, we have;
y = mx + c
y = -2x/5 + 4
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Solve the rational equation: −5/2x+3/4x=−7/4.
Answer:
x = 1
Step-by-step explanation:
- [tex]\frac{5}{2}[/tex] x + [tex]\frac{3}{4}[/tex] x = - [tex]\frac{7}{4}[/tex]
multiply through by 4 ( the LCM of 2 and 4 ) to clear the fractions
- 10x + 3x = - 7
- 7x = - 7 ( divide both sides by - 7 )
x = 1
Answer:
[tex]x=1[/tex]
Step-by-step explanation:
Given equation is:
[tex]-\frac{5}{2}x+\frac{3}{4}x=-\frac{7}{4}[/tex]
Simplifying the left side of the equation.
[tex]\frac{2(-5x)+3x}{4}=-\frac{7}{4}[/tex]
This is equivalent to:
[tex]\frac{-10x+3x}{4}=-\frac{7}{4}[/tex]
This gives:
[tex]\frac{-7x}{4}=-\frac{7}{4}[/tex]
This is equivalent to:
[tex]x=1[/tex]
What change of state occurs when fog forms? O Water vapor cools and changes to liquid water. O Liquid water cools and changes to water vapor. Water vapor warms and changes to liquid water. O Liquid water warms and changes to water vapor.
Answer:
O Liquid water warms and changes to water vapor.
Step-by-step explanation:
Simplify.
−81--√ pls help
Answer:
9i
Step-by-step explanation:
Complex numbers:i² = -1
[tex]\sqrt{-81}=\sqrt{81i^2}\\[/tex]
[tex]\sf \bf = \sqrt{9*9*i * i}\\\\ = 9i[/tex]
is the
following statement true or false? If false,
provide a counterexample.
The difference between a positive mixed
number and negative mixed number is
never positive.
The difference between a positive mixed number and negative mixed number is never positive is false.
Depending on how the phrases might be ordered
If we think that the first term is the positive mixed number, the second term is the negative mixed number, and we consider that "difference" is equal to subtraction, then the outcome is positive.For illustration, (3 + 1/2) - [-(1 + 1/2)] = (3 +1/2) + (1 + 1/2) = 5 because removing a negative produces a positiveHowever, if we performed the same procedure in reverse, we would get -(1 + 1/2) - (3 + 1/2), and the outcome is - 5.I To start, arrange the numbers vertically so that the ones' and tens' place digits are aligned, which simply implies that one number should be written above the other number. Under the bottom number, draw a line.(ii) Remove the numbers from the ones location. Addition (6 – 2) equals 4.Hence the given statement, the difference between a positive mixed number and negative mixed number is never positive is false.
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When using a counterexample to prove a conditional statement false, which must be true about the counterexample?
The true statement is that the counterexample must satisfy the conclusion of the conditional statement.
What is a counterexample?A counterexample is a situation in which the hypothesis and conclusion are both accurate. We employ a counter example to show that a conditional assertion is untrue.
The true statement regarding the counterexample can be written as a conditional assertion.
This is shown to be untrue by a counterexample,
Therefore, only one counter-example is enough to demonstrate the falsity of a proposition. In this case where a counterexample is used to refute a conditional statement.
The counter-example should be supported the conditional statement's hypothesis.
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Let x be a random variable that represents the weights in kilograms (kg) of healthy adult female deer (does) in December in a national park. Then x has a distribution that is approximately normal with mean = 67.0 kg and standard deviation = 7.9 kg. Suppose a doe that weighs less than 58 kg is considered undernourished.
What is the probability that a single doe captured (weighed and released) at random in December is undernourished? (Round your answer to four decimal places.)
In the national park, the probability that a single doe captured (weighed and released) at random in December is undernourished is 25.5%
How to determine the probabilityData is symmetrically distributed and skew-free in a normal distribution. When the data is shown on a graph, it has the shape of a bell, with the majority of values congregating in the center and diminishing as they move outward.
Due to their structure, normal distributions are sometimes known as bell curves or Gaussian distributions.
Assuming normal distribution we calculate the probability as follows
Definition of variables
mean adult female deer, μ = 67.0 kg
Standard deviation, σ = 7.9 kg
sample, X = 58
Z score, z is given by the formula
= (X - μ) / σ
= (58 - 67) / 7.9
= -1.139 has a p value of 0.2546
P = 25.5%
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So I have to rearrange this formula:
a=2b+c (to make b the subject)
Kindly help!
Formula a = 2b + c in subject to b is b = a-c / 2
Changing the subject of formula is a way of rearranging formula to determine missing variable in terms of other variable
Changing the subject of formula is also known as rearranging formula or changing the subject of an equation.
Given ,
Formula : a = 2b + c
Subtracting by c on both sides,
=> a - c = 2b + c - c
=> a - c = 2b
Dividing by 2 on both sides,
=> [tex]\frac{a-c}{2} = b[/tex]
Formula in subject to b is
b = a-c / 2
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helpp me out thank u
The equations that are true include the following:
(8 × 7)/2 - 12 = 22 - (2 × 3)
48 ÷ 8 + 2³ = 5 + 3²
How to determine the true equations?In order to determine the equations that have a true and valid solution, we would simplify and evaluate each of the equations as follows:
(8 × 7)/2 - 12 = 22 - (2 × 3)
Opening the bracket on both sides of the equation, we have:
56/2 - 12 = 22 - 6
28 - 12 = 16
16 = 16 (True).
48 ÷ 8 + 2³ = 5 + 3²
Evaluating the exponents, we have:
48 ÷ 8 + 8 = 5 + 9
6 + 8 = 14
14 = 14 (True).
150/5² = 30 - 4² - 12
Evaluating the exponents, we have:
150/25 = 30 - 16 - 12
6 = 2 (False and incorrect).
9² - 7² = 20 ÷ (7 - 2)
Opening the bracket, we have:
9² - 7² = 20 ÷ 5
Evaluating the exponents, we have:
81 - 49 = 4
32 = 4 (False and incorrect).
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URGENT!! ILL GIVE
BRAINLIEST!!!! AND 100 POINTS!!!!!
The value of x is 11x+4x=180 and x = 12
The correct option is option c)
What is interior angles?
When two lines cross at one point, a linear pair of angles is created. If the angles follow the intersection of the two lines in a straight line, they are said to be linear. A linear pair's total angles are always equal to 180°. These are also referred to as supplementary angles.
We are given that the value of two angle is 11x and 4x
Since both lines are parallel and a line intersects both the lines
Hence the sum of these angles is 180 degrees
Hence we get an equation
11x+4x= 180
15x =180
x=12
Hence the correct option is option c)
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please help me with these questions
ALL experts please help
Answer: The correct answers are:
4^4 (same answer for the equation shown) = 256 (option# B) for the first one
((2^2)^4)*2^-5= 8 (option# B) for the first one
Step-by-step explanation: Confirmed correct
Answer:
First one:
[tex]2^{2} (3+1) *[2(7-5)]^{2}[/tex]
= [tex]2^2(4)* [2(2)]^2[/tex]
= [tex]2^2(4)(4)^2[/tex]
= [tex]2^2(4)(16)[/tex]
= [tex]2^2*2^2*2^4[/tex]
= [tex]4*4*4^2[/tex]
= [tex]4^4[/tex]
The answer is four
and for the second one:
[tex]2^8*\frac{1}{2^5}[/tex]
[tex]2^3 = 8[/tex]
the answer is 8
URGENT!! ILL GIVE
BRAINLIEST!!!! AND 100 POINTS!!!!!
The interior angles of triangle add up to give 180 degrees.
What is interior angle of triangle?The set of all points within a triangle, or all points in the convex hull of the triangle's vertices, is known as the interior of the triangle.
The three angles that make up a triangle's interior are referred to as its interior angles. The total of these three angles is always 180 degrees.
Here given two angles of triangle = 96° and 48°
We know that sum of interior angles = 180°
So x° + 96° + 48° = 180°
x + 144 = 180
x = 180 - 144
x = 36°
To find the value of y,
We know that angle over a straight line is 180°
So ,
96° + y° = 180°
y = 180 - 96
y = 84°
Therefore the value of x = 36° and y = 84° .
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In a given arithmetic progression, the first term is 6, and the 87-th term is 178. Find the common
difference of this arithmetic progression and give the value of the first five terms.
Answer:
d = 2 and terms are 6, 8, 10 12 and 14
Step-by-step explanation:
we know
[tex] a_{n} = a_{1} + (n-1)d [/tex]
here a(n) = nth term
a1 = 1st term
n = no. of term
d = common difference
putting the values we get,
178 = 6 + (87-1)d
⇒ 178 = 6 + 86d
⇒86d = 172
⇒ d = 2
So required common difference is 2.
Now the first term is 2
so second term is a2 = 6 + ((2-1)×2) = 8
third term = 6 + ((3-1)×2) = 10
fourth term = 6 + ((4-1)×2) = 12
fifth term = 6 + ((5-1)×2) = 14
How to solve this problem?
The answer of the problem by the SAS similarity theorem sides is [tex]\frac{AC}{GI} = \frac{HI}{BC}[/tex].
What is the SAS similarity theorem of triangle?
According to the SAS similarity theorem, two triangles are considered similar if their included angles are congruent and their two sides are proportionate to one other.
It is also known as Side-Angle-Side similarity of two triangles.
There is a common ratio of sides in the given problem figure, which is,
[tex]\frac{AC}{GI} = \frac{HI}{BC}[/tex]
Additionally, these similar sides produce equal relative angles,
∠[tex]ACB =[/tex] ∠[tex]GIH[/tex]
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(0, -7) (2, 1) (5,-2)
Find a quadratic equation from three points, Alg 2
Step-by-step explanation:
A quadratic equation is in the form of
[tex]ax {}^{2} + bx + c[/tex]
C is the y intercept a.k.a the value of c is when x=0,
when x is 0, c is -7 so
c=-7
[tex] {ax}^{2} + bx - 7 [/tex]
Next we know when x is 2, y is 1 so
[tex]a(2) {}^{2} + 2b - 7 = 1[/tex]
[tex]4a + 2b = 8[/tex]
When x is 5, y is -2
[tex]a(5) {}^{2} + b(5) - 7 = - 2[/tex]
[tex]25a + 5b = 5[/tex]
So we have a system of equations, using elimination.
[tex]5a + b = 1[/tex]
[tex] - 6a = 6[/tex]
[tex]a = - 1[/tex]
So
[tex]5( - 1) + b = 1[/tex]
[tex]b = 6[/tex]
Our quadratic is
[tex] - {x}^{2} + 6x - 7[/tex]
Please list all of the corresponding parts (segments and angles).
Using the angle sum property and the definition of congruency, the measure of angle G is determined to be 118°.
What makes two triangles congruent?If the following requirements are met, two triangles are congruent.One triangle's three sides line up perfectly with the three sides of another triangle (SSS)One triangle's two sides and included angle are identical to the other triangle's two sides and included angle (SAS)One triangle's two angles and included side are identical to the other triangle's two angles and included side (ASA)One triangle's two angles and excluded side are congruent with the other triangle's two angles and excluded side.Right triangle hypotenuse and one of its legs are similar to the hypotenuse and one of its other triangles.Therefore,
ΔCAT ≅ ΔDOG
m∠C = 25°
m∠O = 37°
The following formula is used to determine angle ∠G:
According to the definition of congruency, the arrangement of the letters in the congruency statement shows that angle ∠C is congruent to angle ∠D, angle ∠A is congruent to angle ∠O, and angle T is congruent to angle ∠G, indicating that we have;
m∠C = m∠D = 25°
m∠A = m∠O = 37°
m∠T = m∠G
The measure of angle ∠G and angle ∠T can therefore, be found from the angle sum property of the interior angles of a triangle.
m∠C + m∠A + m∠T= 180° (angle sum property of a triangle)
m∠D + m∠O + m∠G= 180° (angle sum property of a triangle)
m∠G = 180° - (m∠D + m∠O) (subtraction property of equality)
m∠G = 180° - (25° + 37°) = 118°
The measure of angle ∠G, m∠G is 118°
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On average a certain battery used in smartphones has a lifespan of 3 years. What is the probability that a brand new battery lasts for at least 2 years? Give your answer to 3 significant figures. P=
The probability that a brand new battery lasts for atleast 2 years is 0.801
How to determine the probability?From the question, we have the following parameters that can be used in our computation:
Mean, λ = 3 years
The probability of a Poisson distribution is represented as
P(x) = λˣe⁻λ/x!
In this case,
x = At least 2
This means that
x = 2, 3....
So, we have
P(x ≥ 2) = 1 - P(0) - P(1)
This gives
P(x ≥ 2) = 1 - 3⁰ * e⁻³/0! - 3¹ * e⁻³/1!
Evaluate
P(x ≥ 2) = 1 - 0.0497 - 0.1494
Evaluate the difference
P(x ≥ 2) = 0.801
Hence, the probability is 0.801
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The materials for one headband cost $0.95. Each headband is sold for $3.80.
What percentage of $0.95 is $3.80?
250%
4%
25%
400%
The percentage of $0.95 to $3.80: 25%
What is Percentage?
A percentage, often known as percent, is a division by 100. Percentage, which meaning "per 100," designates a portion of a total sum. 45 out of 100 is represented by 45%, for instance. Finding the percentage of a whole in terms of 100 is what percentage calculation is. Both manual calculation and the use of internet calculators are options.
The terms "out of 100" and "for every 100" can also be used to refer to percentages. For instance, you may say "it snowed 20% of the time" or "it snowed 20 days out of every 100 days."
A decimal can also be used to represent a percentage. For instance, 24 percent, 0.24, 24/100, or 24 hundredths could also be used to represent the percentage. By dividing the percentage by 10, you can obtain the percent in decimal form.
Given,
The material cost for one headband = $0.95
The cost of one headband sold = $3.80
Now to take the percentage of the cost of material of the headband to the selling price of the headband will be:
= (0.95/3.80) x 100
it can be also written as
= (0.95 x 100)/3.80
= 95 / 3.80
= 25%
Hence, The percentage of $0.95 to $3.80 is 25%
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If −5x+10y=1 and −x−6y=−10 are true equations, what would be the value of 4x−16y?
The value of 4x - 16y is -11.
4x - 16y = -11.
Given, two equations
−5x + 10y = 1 and −x − 6y = −10
Now, On subtracting both the equations, we get
−5x + 10y + x + 6y = 1 + 10
- 4x + 16y = 11
On multiplying both the sides by -1, we get
4x - 16y = -11
Hence, the value of 4x - 16y is -11
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The rule for dilation of a quadrilaterial is D O,0.16 (x, y) (0.16x, 0.16y). What is the Y coordinate of a new point if the new coordinate is (0,-8)? Round
hundredth if necessary.
The Y coordinate of the new point is -1.28 y.
What are coordinates?A pair of numbers that use the horizontal and vertical separations from the two reference axes to define a point's location on a coordinate plane. Typically expressed by the x-value and y-value pair (x,y).You do the reverse to determine a point's coordinates in a coordinate system. Start at the point, then move up or down a vertical line until you reach the x-axis. Your x-coordinate is shown there. To get the y-coordinate, repeat the previous step while adhering to a horizontal line.So, the new Y coordinate is:
The rule of dilation for the quadrilateral D is:
0.16 (x, y) (0.16x, 0.16y)The new coordinate plan is:
(0, -8)Then, calculate the Y coordinate as follows:
(0.16x, 0.16y)(0.16x, 0.16(-8))(0.16x, -1.28y)
Therefore, the Y coordinate of the new point is -1.28 y.
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Gisele deposits $3,500 into an account that earns 3% interest, compounded quarterly. What will be the balance of the account after 4 years?
Round to the nearest cent, if necessary.
Answer: $ 875
Step-by-step explanation:
3,500-0.03(4)
3,499.97/4
= $875
rearrange the formula to make x the subject in y=1/2x+5
The rearranged formula with the x as subject is x = 2y - 10
Formula
Formula refers a fact or a rule written with mathematical symbols. It usually connects two or more quantities with an equal sign.
Given,
Here we have the formula y = 1/2x + 5
Now, we have to rearrange the given formula in order to make x as the subject.
Here we we need to find the formula, as x the subject,
So, the given formula,
y = 1/2 x+ 5
We have to move the number 5 to the left hand side, then the sign of the number changes into negative,
So, it can be written as,
=> y - 5 = 1/2x
Here we need the value of x alone, so move the number that is in division to the LHS, then it will be changed as multiplication, then we get,
=> 2 (y - 5) =x
When we expand it, then we get,
=> 2y - 10 = x
Therefore, the formula that has x as subject is 2y - 10.
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Find the perimeter of the right triangle. If necessary, round to the nearest tenth.
A right triangle with side 4 centimeters, side 15 centimeters, and blank hypotenuse.
a.
15.5 cm
b.
30 cm
c.
60 cm
d.
34.5 cm
Answer: 15.5
Step-by-step explanation: The equation is a. Fill in the letters. 4=a. 15=b. so: Now solve. 4 squared is 16. 15 squared is 225. 225+16= 241. 15.5 is the answer. It's just the Pygotherean Method!
The graph below is a polynomial function in the form f(x)=(x−a)(x−b). Find suitable real numbers a and b that describe the graph.
Differentiate the function with respect to x. Shot steps
The differentiation or rate of change of the given function y = ln x² will be 2/x.
What is the rate of change?The rate of change is the change of a quantity over 1 unit of another quantity.
Most of the time the rate of change is the change with respect to time.
For example the speed 3meter/second.
As per the given,
y = ln x²
By log property
y = 2ln x
Take the first derivative,
dy/dx = 2/x
Hence "The differentiation or rate of change of the given function y = ln x² will be 2/x".
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If 4x + 9 = 16, what is the value of 12x + 21 ?
Let x be a random variable that represents the weights in kilograms (kg) of healthy adult female deer (does) in December in a national park. Then x has a distribution that is approximately normal with mean = 67.0 kg and standard deviation = 7.9 kg. Suppose a doe that weighs less than 58 kg is considered undernourished
What is the probability that a single doe captured (weighed and released) at random in December is undernourished? (Round your answer to four decimal places.)
The probability that a single doe captured (weighed and released) at random in December is undernourished, using the normal distribution, is given by:
0.1271 = 12.71%.
Normal Probability DistributionThe z-score of a measure X of a variable that has mean symbolized by [tex]\mu[/tex] and standard deviation symbolized by [tex]\sigma[/tex] is obtained by the rule presented as follows:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The z-score represents how many standard deviations the measure X is above or below the mean of the distribution, depending if the obtained z-score is positive or negative.Using the z-score table, the p-value associated with the calculated z-score is found, and it represents the percentile of the measure X in the distribution.The mean and the standard deviation for the weights are given as follows:
[tex]\mu = 67, \sigma = 7.9[/tex]
The probability that a doe is undernourished is the p-value of Z when X = 58, hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
Z = (58 - 67)/7.9
Z = -1.14.
Z = -1.14 has a p-value of 0.1271.
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There are 100 apples. 35 are red apples and 65 are green apples. What percentage is a green apple?
NEED HELP RIGHT NOW THIS IS DUE TOMORROW
Answer:
35%
Step-by-step explanation:
35 divided by 100 = 0.35 = 35%
There are 3 types of PercentProblems.
a) Number compared to the Base is unknown: x/100 = ?/b
b) Base Number is unknown: a/?= x/100
c) Percent is unknown: a/b = ?/100
Solve the following percent problems using the appropriate percent equation. Describe
the steps used to calculate each answer.
1) What distance is 24% of 710 miles?
2) 62 hours is what percent of 3 days?
3) 16% of what number is 8?
Answer:A. x= .100
Step-by-step explanation:because of the distance in miles
Pleasee Help Mee! Alot of Pointss 40!!! Look at the pictures attached:) People keep on answering it wrong or leaving some of it incomplete I really need help
The measurement of Angle ∠5=52°
What is interor angle property?when two parallel lines are cut by a transversal line, then the resultant alternate interior angles are equal.
In the given figure, lines AB║CD.
And ∠3=52, ∠5=?
By using alternate interior angle property ,
Angle ∠3 and ∠5 are cut by a transversal line, so this both angle will be equal
⇒∠3=∠5=52°
Here, the value of ∠5=52°
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