Answer:
y=1.3x-3
or
y=4/3x-3
Step-by-step explanation:
1.3 is the slope (the change in between points)
-3 is the y intercept (the point on the y-axis)
Use the following values to evaluate the expression (Will give 69 points)
w = 5, x = 9, y = 2
3. x + 20 - 1
A. 28
B. 19
C. 30
D. 32
(Conexus student)
The solution to the given expression (x + 20 - 1) when x = 9 is: A. 28.
What is an expression?An expression can be defined as a mathematical equation which is used to show the relationship existing between two or more variables and numerical quantities.
In this exercise, you're required to evaluate the given expression and determine its solution. Therefore, we would evaluate the given expression as follows:
x + 20 - 1
Substituting the value of x into the given expression, we have:
Expression = 9 + 20 - 1
Expression = 29 - 1
Expression = 28.
In conclusion, we can reasonably and logically deduce that 28 is the solution to this expression (x + 20 - 1).
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Answer:
a) 28
Step-by-step explanation:
Now we have to,
→ evaluate the expression.
The expression is,
→ x + 20 - 1
Solving the expression,
→ x + 20 - 1
→ 9 + 20 - 1
→ 9 + 19
→ 28
Hence, solution is 28.
Select all lengths that are equal to 3 yards 16 inches.
The lengths equal to 3 yards 16 inches are 3 yards, 108 inches, 3.44 yards (approximately), and 108.44 inches (approximately).
To determine the lengths that are equal to 3 yards 16 inches, we need to convert the measurements into a consistent unit. Since both yards and inches are units of length, we can convert the inches into yards or the yards into inches to find the equivalent lengths.
1 yard is equal to 36 inches (since 1 yard = 3 feet and 1 foot = 12 inches).
Therefore, 3 yards is equal to 3 * 36 = 108 inches.
Now, we can compare 108 inches to 3 yards 16 inches.
108 inches is equal to 3 yards, so it matches the given length.
To convert 16 inches into yards, we divide it by 36 since 1 yard = 36 inches. 16 inches / 36 = 0.44 yards.
Therefore, 3 yards 16 inches is equivalent to:
3 yards
108 inches
3 yards 0.44 yards (or approximately 3.44 yards)
108 inches 0.44 yards (or approximately 108.44 inches)
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What is the equation, in point-slope form, of the line that is parallel to the given line and passes through the point (-3, 1)?
Answer:
y-1= -1/3(x+3)
Step-by-step explanation:
y-y1=m(x-x1)
y-1=m(x+3)
the slope is rise over run
the slope is -1/3
Answer:
y - 1 = 3/2 (x + 3)
Step-by-step explanation:
To find the equation of a line parallel to the given line and passing through the point (-3, 1), we can use the point-slope form of a linear equation. The point-slope form is given by:
y - y₁ = m(x - x₁)
Where (x₁, y₁) is the given point and m is the slope of the line.
First, let's calculate the slope of the given line using the two points (-2, -4) and (2, 2):
slope = (y₂ - y₁) / (x₂ - x₁)
= (2 - (-4)) / (2 - (-2))
= 6 / 4
= 3/2
Since the line we want to find is parallel to the given line, it will have the same slope. Therefore, the slope (m) of the new line is also 3/2.
Now we can substitute the values into the point-slope form using the point (-3, 1):
y - 1 = (3/2)(x - (-3))
y - 1 = (3/2)(x + 3)
The equation in point-slope form of the line parallel to the given line and passing through the point (-3, 1) is:
y - 1 = 3/2 (x + 3)
Construct one table that includes relative frequencies based on the frequency distributions shown below, then compare the amounts of tar in nonfiltered and filtered cigarettes. Do the cigarette filters appear to be effective? (Hint: The filters reduce the amount of tar ingested by the smoker.)
Based on the relative frequency table that compares nonfiltered and filtered cigarettes, we can infer that cigarette filters are effective because they reduce larger tar amounts.
How can the relative frequency table be drawn?Tar (mg) Relative Frequency Relative Frequency
(nonfiltered) (filtered)
6 - 11 0/ 25 = 0% 1 / 25 = 4%
12 - 17 0/ 25 = 0% 1 / 25 = 4%
18 - 23 2/ 25 = 8% 5 / 25 = 20%
24 - 29 1/ 25 = 4% 18 / 25 = 72%
30 - 35 13/ 25 = 52% 0 / 25 = 0%
36 - 41 6/ 25 = 24% 0 / 25 = 0%
42 - 47 3 / 25 = 12% 0 / 25 = 0%
Total 25 / 25 = 100% 25 / 25 = 100%
From the table, we can see that the unfiltered cigarette has higher tar amounts which means that cigarette filters are effective in reducing tar content.
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What are the coordinates of point A? (8, –6) (–6, 8) (–5, 7) (7, –5)
Answer:I think it is
7 -5
Step-by-step explanation:
Answer:
D-(7, –5)
Step-by-step explanation:
hope this helps:)
what is 2x + 5 = 13 help plz
Answer: 2x + 5 = 13
2x = 13 - 5
2x = 8 (divide both sides by 2 to get x)
2x/2 = 8/2
x = 4
Step-by-step explanation:
i got u
2x + 5 = 13
2x = 13 - 5
2x = 8 (divide both sides by 2 to get x)
2x/2 = 8/2
x = 4
prove it using mathematical induction
Answer:
Mathematical induction can be used to prove that an identity is valid for all integers n≥1. Here is a typical example of such an identity: 1+2+3+⋯+n=n(n+1)2. More generally, we can use mathematical induction to prove that a propositional function P(n) is true for all integers n≥1.
Step-by-step explanation:
I'd really appreciate a brainleast please:)
Find y.
I will give Brainliest to correct answer !
Since the graph was obtained by transforming the graph of the square root function, an equation for the function the graph represent is: \(g(x) = -\sqrt{9(x - 1)} + 2\)
What is a square root function?In Mathematics and Geometry, a square root function is a type of function that typically has this form f(x) = √x, which basically represent the parent square root function i.e f(x) = √x.
In Mathematics and Geometry, a horizontal translation to the right is modeled by this mathematical equation g(x) = f(x - N) while a vertical translation to the positive y-direction (upward) is modeled by this mathematical equation g(x) = f(x) + N.
Where:
N represents an integer.g(x) and f(x) represent functions.In this context, the required square root function can be obtained by applying a set of transformations to the parent square root function as follows;
f(x) = √x
g(x) = -√9(x - 1) + 2
\(g(x) = -\sqrt{9(x - 1)} + 2\)
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(8x100) + (7x1) + (9x1/100) + (2x1/1000)
Answer: the answer is 807.092
Step-by-step explanation:
(8x100)= 800
(7x1)= 7
(9x1/100)= 9/100
(2x1/1000)=1/500
800+7+9/100+1/500= \(807\frac{23}{250}\)
Louis has already biked 4 1/2 miles this week. He can bike 8/6 miles in one hour. Let the total distance biked be represented by d. Let the number of hours biking be represented by h. An equation that represents this scenario is: d=8/6h+4 1/2
what is the total number of miles if he bikes 21 hours?
answer as a decimal
Replace h in the equation with 21 hours and solve for d:
D = 8/6(21) + 4 1/2
D = 28 + 4 1/2
D = 32 1/2
As a decimal: 32.5
You throw two dice. What is the probability of rolling a 2 on at least one of the dice?
I'll give brainliest to correct answer. Please explain why
Answer:
0,027
Step-by-step explanation:
Rolling two fair dice more than doubles the difficulty of calculating probabilities. This is because rolling one die is independent of rolling a second one. One roll has no effect on the other. When dealing with independent events we use the multiplication rule. The use of a tree diagram demonstrates that there are 6 x 6 = 36 possible outcomes from rolling two dice.
Answer:
11/36
Step-by-step explanation:
There are 36 possible outcomes from rolling 2 dice because the first die has 6 possible outcomes and so does the second.
If the first dice is a 2, the second die can be from 1 to 6. So, there are 6 ways that one dice can show a 2. Since it can happen to both die, you double it to be 12.
But, we have counted the roll of 2,2 twice. So we minus 1 possibility.
Thus, there are 11 ways to roll at least one 2 and 36 possibilities.
What is the equation of a line That is perpendicular to y=2x+4 and passes through the point (4, 6)
Answer:
y = -1/2x + 8
Step-by-step explanation:
lmk if you want an explanation
can someone please help me find the answer to this problem i would really appreciate it!!
Answer:
C
Step-by-step explanation:
to find the distance between a point x and an inaccessible point z, a line segment xy is constructed. measurements show that xy=966 m, angle xyz=38°24', and angle yzx=94°6'. find the distance between x and z to the nearest meter.
Answer:
\(\approx \bold{602\ m}\)
Step-by-step explanation:
Given the following dimensions:
XY=966 m
\(\angle XYZ\) = 38°24', and
\(\angle YZX\) = 94°6'
To find:
Distance between points X and Z.
Solution:
Let us plot the given values.
We can clearly see that it forms a triangle when we join the points X to Y, Y to Z and Z to X.
The \(\triangle XYZ\) has following dimensions:
XY=966 m
\(\angle XYZ\) = 38°24', and
\(\angle YZX\) = 94°6'
in which we have to find the side XZ.
Kindly refer to the image attached.
Let us use the Sine rule here:
As per Sine Rule:
\(\dfrac{a}{sinA} = \dfrac{b}{sinB} = \dfrac{c}{sinC}\)
Where
a is the side opposite to \(\angle A\)
b is the side opposite to \(\angle B\)
c is the side opposite to \(\angle C\)
\(\dfrac{XZ}{sin\angle Y} = \dfrac{XY}{sin\angle Z}\\\Rightarrow \dfrac{966}{sin94^\circ6'} = \dfrac{XZ}{sin38^\circ24'}\\\Rightarrow XZ=\dfrac{966}{sin94^\circ6'} \times sin38^\circ24'\\\Rightarrow XZ=\dfrac{966}{0.997} \times 0.621\\\Rightarrow XZ=601.69 \m \approx \bold{602\ m}\)
Julie has 2/3 cup of syrup but needs 1and 1/2cups for
baking a pie. How much more syrup does Julie need?
Answer:
The answer is 5/6
Step-by-step explanation:
To get this answer u minus 2/3 from 1 1/2,u get 5/6.Then if u add 5/6 and 2/3 u get 1 1/2 so this tells u your answer is 5/6
Write the scale without units: 1 mm:92 cm
Answer:
1:92
Step-by-step explanation:
that's how you write scale
pls mark brainliest
Ticket sales for Six Flags White Water totaled $94,520 this summer. Tickets for the water park cost $17 each. How many tickets were sold?
The number of tickets that will be sold is 5560.
What is division?
A division is one of the fundamental mathematical operations that divides a larger number into smaller groups with the same number of components. How many total groups will be established, for instance, if 20 students need to be separated into groups of five for a sporting event? The division operation makes it simple to tackle such issues. Divide 20 by 5 in this case. 20 x 5 = 4 will be the outcome. There will therefore be 4 groups with 5 students each. By multiplying 4 by 5 and receiving the result 20, you may confirm this value.
Ticket sales for Six Flags White Water totaled $94,520 this summer.
Tickets for the water park cost $17 each.
The number of tickets sold will be = 94520/17 = 5560.
Hence, the number of tickets that will be sold is 5560.
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A block weighing 25№ has dimensions 34cm * 25 *
10em. what is the greatest pressure and the least.
the ground?
pressure it can
exert on
As a result, the maximum pressure the block may impose on the ground angles is 25 N/cm2 and the minimum pressure is 0.029 N/cm2.
what are angles?An angle is a shape in Euclidean geometry made composed of two rays, known as the angle's sides, that meet in the middle at a point known as the angle's vertex. Two rays can produce an angle in the plane in which they are positioned. An angle is formed when two planes collide. These are known as dihedral angles. In planar geometry, an angle is the shape formed by two rays or lines that have a common termination. The English term "angle" comes from the Latin word "angulus," which means "horn." The vertex is the common terminal of the two rays, which are known as the angle's sides.
The area of the block in touch with the ground must be considered to determine the maximum and least pressure that the block can exert on the ground.
The area in contact with the ground is the block's bottom face, which is 34 cm × 25 cm = 850 cm2.
Pressure = Weight/Area = 25 N/1 cm2 = 25 N/cm2
Pressure = Area/Weight = 25 N / 850 cm2 = 0.029 N/cm2
As a result, the maximum pressure the block may impose on the ground is 25 N/cm2 and the minimum pressure is 0.029 N/cm2.
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Tina placed a 12 meter rope along one side of the bicycle path. She hung a ribbon on each end of the rope and every 3 meters in-between. How many ribbons did she hang?
A)4
B)5
C)6
D)7
Step-by-step explanation:
С) 6. I need to write something here to send a response
What is the range of y=x+3 squared?
Answer:
x>9
Step-by-step explanation:
A rancher has 200 feet of fencing to enclose two adjacent rectangular corrals. What dimensions should
be used so that the enclosed area will be a maximum?
Length is 33.33 feet and width is 25 feet are dimensions should
be used so that the enclosed area will be a maximum.
What is Area of Rectangle?The area of Rectangle is length times of width
Given that, a rancher has 200 feet of fencing to enclose two adjacent rectangular corrals of the same dimensions.
Here, the dimensions of the rectangles are the same.
The width of the two rectangles is W=2W+2W=4W
The length of the two rectangles is L=L+L+L=3L
Because the adjacent side has a common length.
3L+4W=200
3L=200-4W
Divide both sides by 3
L=(200-4W)/3
Let us form an equation using the area of rectangle formula:
A=2LW
=2(200-4W)/3.W
A=400-8W²/3
Let us differentiate to get the area to be maximized dA/dW=0
1/3×(400-8W²)=0
1/3(400-16W)=0
400-16W=0
400=16W
Divide both sides by 16
W=25
The width is 25 feet.
Substitute W value in equation to get L value:
L=200-4×25/3
=200-100/3
=100/3
=33.33
The length is 33.33 feet.
Now let us find the maximum area
A=2LW
=2×33.33×25
=1666.66
Hence, length is 33.33 feet and width is 25 feet are dimensions should
be used so that the enclosed area will be a maximum.
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For what value of x is the rational expression below equal to zero?
x-9
(x-4)(x+4)
OA. -4
B.
C.-9
D. 9
SUBMIT
The value of x is 9
To find the value of x for which the rational expression is equal to zero, we need to set the numerator equal to zero:
x - 9 = 0
Solving for x:
x = 9
Therefore, the value of x = 9.
Looking at the denominator (x - 4)(x + 4), we see that it contains two factors: (x - 4) and (x + 4). For the entire expression to equal zero, either the numerator or one of the factors in the denominator must equal zero.
Setting each factor in the denominator equal to zero:
x - 4 = 0 or x + 4 = 0
x = 4 or x = -4
These are the valid values of x for which the rational expression is equal to zero.
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if a mayor is elected with 53% of the votes cast and 85% of a town's 26,000 voters voted, how many votes did the mayor receive?
Find the average rate of change of the function f(x)=2x^3-x from [4,6].
PLEASE HELP!
The average rate of change of a function f(x) over the interval [a, b] is given by the formula:
average rate of change = (f(b) - f(a)) / (b - a)
In this case, the function is f(x) = 2x^3 - x and the interval is [4, 6]. So we have:
f(4) = 2(4)^3 - 4 = 124
f(6) = 2(6)^3 - 6 = 330
Therefore, the average rate of change of f(x) over [4, 6] is:
(330 - 124) / (6 - 4) = 103
So the average rate of change of the function f(x) over the interval [4, 6] is 103.
Answer:
151
Step-by-step explanation:
Average Rate of Change Formula
\(\frac{f(b)-f(a)}{b-a}\\\frac{f(6)-f(4)}{6-4} \\\frac{((2*6^3)-6)-((2*4^3)-4)}{2} \\\frac{(432-6)-(128-4)}{2} \\\frac{426-124}{2}\\\\ \frac{302}{2} = 151\)
If you have trouble remembering the rate of change formula, it's the same as the slope formula.
\(f(b) = y_2\\f(a) = y_1\\b = x_2\\b = x_1\\slope = \frac{y_2-y_1}{x_2-x_1} \\\)
Similarly to the slope formula, it doesn't matter which point you set up to be the second coordinate, as long as it is consistent across the numerator and denominator.
Question
From a point P on a level ground and directly west of a pole, the angle of elevation of the top of the pole is 45° and from point Q east of the pole, the angle of elevation of the top of the pole is 58°. If |PQ|= 10m, calculate, correct to 2 significant figures, the:
a) distance from P to the pole;
b) height of the pole.
a) The distance from point P to the pole is: 6.2 m
b) The height of the Pole is: 6.2 m
How to find the distance and height from angle of elevation?The triangle attached shows us the triangle formed as a result of the given word problem about angle of elevation and distance and height.
Now, we are given that:
The angle of elevation of the top of the pole = 45°
Angle of elevation of the top of the pole = 58°.
|PQ|= 10m
a) PR is distance from point P to the pole and using trigonometric ratios, gives us:
PR/sin 58 = 10/sin(180 - 58 - 45)
PR/sin 58 = 10/sin 77
PR = (10 * sin 58)/sin 77
PR = 8.7 m
b) P O can be calculated with trigonometric ratios as:
P O = PR * cos 45
P O = 8.7 * 0.7071
P O = 6.2 m
Now, the two sides of the isosceles triangle formed are equal and as such:
R O = P O
Thus, height of pole R O = 6.2 m
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A three-way intersection is sometimes called a
T-intersection
Y-intersection
Both a and b
Neither a nor b
Answer:
Both A and B
Step-by-step explanation:
Both a and b. A three-way intersection can be referred to as a T-intersection or a Y-intersection, depending on the shape of the intersection. In a T-intersection, one road intersects another road perpendicularly, forming a T-shape. In a Y-intersection, one road splits into two branches, forming a Y-shape.
John is participating in a marathon that is 26 2 miles. His distance (d, in
miles) depends on his time (t, in hours). Which is an appropriate range for
this situation?
Answer:
0-27
Step-by-step explanation:
The range of a function is representative of the values on the y-axis. In this case, the graph will contain distance on the y-axis at is the dependent variable, while the independent variable is time.
We know that the minimum value of the distance will be 0, given that there can be no negative distance. Moreover, the maximum value is 26.2 miles, since the marathon will then be over. Therefore, a good range for the situation will be 0-27 miles.
I hope this helps. I am sorry if you get this wrong.
The value of log 3 5 × log 25 9 is
The value of \(log_35 \times log_{25}9\) is 1.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
\(log_35 \times log_{25}9\)
\(log_ab = \frac{logb}{loga}\)
So,
= log 5 / log 3 x log 9 / log 25
= log 5 / log 3 x log 3² / log 5²
\(logm^n = n~logm\)
So,
= log 5 / log 3 x log 3² / log 5²
= (log 5 / log 3) x (2 log 3 / 2 log 5)
= (log 5 / log 3) x (log 3 / log 5)
= 1
Thus,
1 is the value.
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1 and 5/7 as a percent
Answer:
171.4%
Step-by-step explanation:
1 5/7 as a percent is 171.4
Answer:
171.43%
Step-by-step explanation:
1 is 100%
5/7 is 5/7×100%=71.43%(to 2 d.p.)
Add the 2 to give you :
171.43%
The repeated-measures ANOVA is a two-stage process. Which statement accurately describes the second stage of this process
The statement that describes the second stage of the repeated-measures ANOVA is: it removes individual differences from the denominator.
The repeated-measures ANOVA is a two stage process that is described as analysis of dependencies. This test is used to prove an assumed cause-effect relationship between varaibles (dependent and independent).
The means across one or more variables which have repeated observations are compared using the repeated-measures ANOVA.
Total variability is divided into variability between and within treatments in the first stage of the repeated-measures ANOVA, while the second stage removes individual differences from the denominator.Learn more about the repeated-measures ANOVA on:
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