What is the remainder when g(x)=2x-3 is divided by
2x^3-9x² + x +q
Answer:9x>6=76
Step-by-step explanation:9x>6=76
123 1/23 +(−123 1/23 )
Answer: positive
Step-by-step explanation:
123 1/23 + (-123 1/23)
123 1/23 - 123 1/23 = 0
0 is a positive number and not negative so the answer is negative
FInd the value of x in each case.
pls help i will give 100 points
Answer:
x=10
Step-by-step explanation:
4x+5x+angle g should equal 180 degrees total.
with this in mind, we can subtract angle g from 180, as it is know,. (180-90)
so 4x+5x=90. 9x=90, x=10.
hope this helps.
Check the picture below.
4. The length of a rectangle is 4 inches greater than the width. The perimeter of the rectangle is 24 inches. What are the dimensions of the rectangle? length = 8 in.; width = 4 in length = 6 in.; width = 2 in. length = 12 in.; width = 8 in. length = 8 in.; width = 6 in.
The width of the rectangle is 4 inches and length of the rectangle is 8 inches.
Given,
The width of the rectangle = x inches
The length of the rectangle = x + 4 inches
Perimeter of the rectangle = 24 inches
We have to find the dimensions of the rectangle;
Here,
Perimeter of rectangle = 2(length + width)
So,
24 = 2(x + 4 + x)
24/2 = 2x + 4
12 - 4 = 2x
x = 8/2
x = 4.
That is,
Width of the rectangle = 4 inches
Length of the rectangle = 4 + 4 = 8 inches.
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Find the Length of X , please show how you found your answer
The length of the x is 4.8 units
In the given figure
There is one circle and 2 chords
The chord of the circle is defined as the line segment joining any two points one the circumference of the circle
There are two chords in the figure, those are BD and AC
We know that
DE × EB = AE × EC
This is the rule of chords in the circle
The length of DE = 10 units
The length of EB = x units
The length of AE = 6 units
The length of EC = 8 units
Substitute the values in the equation
10 × x = 6 × 8
10x = 48
x = 48/10
x = 4.8 units
Hence, the length of the x is 4.8 units
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Find the value of x.
Answer: 25 degrees
Step-by-step explanation:
Assuming that both triangles are to be connected and that they form a rectangle,
angle x can be found by subtracting 65 degrees from 90 degrees.
(all corners of rectangle=90 degrees)
90-65=25
The correlation coefficient (r) between the number of hours worked x and the amount of money earned y is 0.456.
What percent of the variation in the amount of money earned can be explained by differences in the number of hours worked?
The percent of the variation in the amount of money earned can be explained by differences in the number of hours worked 20.8%.
Given that, the correlation coefficient (r) between the number of hours worked x and the amount of money earned y is 0.456.
What is the correlation coefficient?The correlation coefficient describes how one variable moves in relation to another. A positive correlation indicates that the two move in the same direction, with a value of 1 denoting a perfect positive correlation. A value of -1 shows a perfect negative, or inverse, correlation, while zero means no linear correlation exists.
The percent of the variation in the dependent variable that can be explained by the independent variable is called coefficient of determination, which is r².
In this case, r = 0.456. So r² = 0.456² = 0.208
That means 20.8% of the variation in the amount of money earned can be explained by differences in the number of hours worked.
Therefore, the percent of the variation in the amount of money earned can be explained by differences in the number of hours worked 20.8%.
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For what values of x is the absolute value function ƒ(x) = |x + 1| − 3 increasing?
By identifying the vertex of the function, we conclude that it is increasing for:
x > -1
For what values of x is the function increasing?Here we have an absolute value function:
f(x) = |x + 1| - 3
This absolute value function has a positive coefficient, which means that the function opens upwards, so it looks like a regular "V" letter.
The function is increasing when, reading from left to right, we see that the line goes upwards. And for functions like this, this happens for values of x larger than the vertex x-value.
For:
f(x) = |x + 1| - 3
The vertex is at (-1, -3)
Then the function is increasing for x > -1
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Nathan and Jorge are working on a decimal division problem in
math class. After finishing the problem, it looked like this: 4.76 ÷
2.5 = 0.19. Nathan said that the decimal is incorrectly placed in the
quotient, and Jorge disagrees. Who is right? Explain your answer
Answer:
Nathan
Step-by-step explanation:
4.76 / 2.5
= (476/100) / (25/10)
= (476/100) * (10/25)
= 238/125
= 1.904
Thus, Nathan is right in saying that the decimal is incorrectly placed in the quotient of the given answer 0.19
a change in the unit of measurement of the dependent variable in a model does not lead to a change in:
Throughput is often a dependent variable with "bits per second" as its unit.
what is unit and measurment?
Standards are provided by units of measurement so that all of our measurements' numbers correspond to the same item. A physical quantity is described using numbers as part of the measurement procedure. We can gauge an object's size, warmth, weight, and a number of other characteristics.The metre, for instance, is a common unit for measuring length. Before 1982, the measurement of a meter was the separation of two markings on a unique metal rod.At that time, describing anything as having a length of two meters meant that it was exactly twice as long as the rod that served as the standard for measuring distance. Scientists now use the speed of light to define the meter.Different units were employed in many nations in the past.learn more about units and measurment click here:
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Which graph represents an odd function?
Answer:
Step-by-step explanation:
Write the equation of the
line that is perpendicular to
y = -7/5x + 1 and goes
through (5, 3)
A) y= 7/5x-4/7
B) y= -7/5x-4/7
C) y= 5/7x-3/7
D) y= 5/7x-4/7
E) y= 1/7x+3
Answer:
Step-by-step explanation:
The answer is D.
The rule for perpendicular lines is that the slope will be the negative reciprocal. Because this equation is in slope-intercept form, the coefficient of x is the slope. -7/5 becomes 5/7. Our new equation is y=5/7x+b. Plugging in (5,3), we see that b is equal to -4/7. Our equation is then y=5/7x-4/7
Which of the following numbers could be the probability of an event?
1, -0.5, 0.29, 0.06, 1.18, 0
Question: The numbers that could be a probability of an event are_
(Use a comma to separate answers as needed.)
The probability of an event is 0.29,0.06. An event's probability is always between 0 and 1.
Explain about the probability?
When we don't know how an event will turn out, we can discuss the likelihood or likelihood of several outcomes. Statistics is the study of events that follow a probability distribution.
The probability is computed by dividing the total number of possible outcomes by the number of possible ways the event could occur. Probability and odds are two distinct ideas. Odds are calculated by dividing the likelihood that something will occur by the likelihood that it won't.
-0.5 cant be a probability because it is less than 0
0.29 can be a probability because it is more than zero.
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The numbers that could be a probability of an event are 0.29 and 0.06
What is a probability?An event's probability is always between 0 and 1. (inclusive).
This implies:
There can be just one.
It must be zero or less.
Evaluation of Option (a) - 0.5
This cannot represent probability (b) 0.29 because it is less than 1,
This can be used to represent probability (c) 0.06 since it lies between 0 and 1.
This can be used to indicate probability (d) 1.18 since it is less than 1.
Given that this is larger than 1, it cannot be a probability (e) 0
A probability is not zero.
This ranges from 0 to 1, so it can be used to express probability.
Therefore, 0.29 and 0.06 can be used to indicate probabilities.
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A cartographer graphed the locations of a light house and all of the islands in the vicinity. He positioned the light house at (-7,9) and the farthest island at (61,9). If each
unit on the graph represents 1 mile, then how far away from the light house is the farthest island?
miles
The distance between the light house and the farthest island is 68 miles
The distance between the light house and the farthest island can be calculated by using the distance formula
The distance formula is d=√((x2 – x1)² + (y2 – y1)²).
d=√((61 – (-7))² + (9 – 9)²)
d = √(61 +7)²
d = 68
If each unit on the graph represents 1 mile
There are 68 units in the graph, so the light house is 68 miles away the farthest island
Therefore, The distance between the light house and the farthest island is 68 miles
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Can anyone write the equation of the graph?
The absolute value function graphed in this problem is given by the rule presented as follows:
y = |x - 3| + 5.
How to obtain the graph of an absolute value function?The first step to obtain the graph of an absolute value function is obtaining the vertex of the function, which is the turning point of the curve in the format of V.
Then, the definition of an absolute value function with vertex (h,k) is defined by the equation presented as follows:
y = |x - h| + k.
For the graphed function, the coordinates of the vertex are given as follows:
(3,5).
The reason for these coordinates are as follows:
h = 3 as the turning point of the graph is at a coordinate of x = 3.k = 5 as the turning point of the graph is at a coordinate of y = 5.Considering the coordinates of the vertex obtained previously on the problem, the absolute value equation graphed is defined by:
y = |x - 3| + 5.
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Two of the exterior angles of an n-sided polygon are 25° and 26°, three of its interior angles are 161° each and the remaining interior angles are 159° each. Calculate the value of n.
The required value of the number of sides ( n ) is 17.
What is polygon?
A closed, two-dimensional object composed of straight lines is called a polygon. In most cases, we can quickly determine the polygon's number of sides from its name.
Given, two of the exterior angles of an n-sided polygon are 25° & 26°
So, the sum of exterior angle = 25° + 26° = 51°
three of its interior angles are 161º each
So, each exterior angle = 180° - 161° = 19° .
sum of three exterior angles = 19*3 = 57° .
Then,
Remaining total angles = n - (2 + 3) = (n - 5).
And, the remaining interior angles are 159° each.
So, each exterior angle of the remaining angles = 180° - 159° = 21°.
sum of all (n -5) exterior angles remaining = 21(n - 5) = (21n - 105°) .
Now,
Sum of all exterior angles = 360°
or, 51° + 57° + (21n - 105°) = 360°
or, 21n + 108° - 105° = 360°
or, 21n + 3° = 360°
or, 21n = 360° - 3°
or, 21n = 357°
or, n = 357/21 = 17
Hence, The required value of n is 17.
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In a city, 6th and 7th Avenues are parallel and the corner that The Pizza Palace is on is a 54° angle. What is the measure of the angle that is made with 7th Ave and Broadway on the corner of The Shake Hut? A) 36° B) 54° C) 126° D) 136°
The angle formed by 7th Avenue and Broadway at The Shake Hut's corner measures 126°.
An expression that depicts the relationship between two or more numbers and variables is called an equation.
If we consider x to be the angle opposite the Pizza Palace, then x = 54°
Also:
The snake hut plus x equals 180
54 plus The Snake Hut = 180
126° is the snake hut.
The angle formed by 7th Avenue and Broadway at The Shake Hut's corner measures 126°.
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a solid triangular prism has a height of 12 inches. the triangular base of this prism is shown below. what is the surface area, in square inches, of this prism?
The surface area of the triangular prsim is 290.4 in² and the right option is B. 290.4 in².
What is surface area?Surface area is the space occupied by a two-dimensional flat surface is called the area. It is measured in square units.
To calculate the surface area of the triangular prism, we use the formula below.
Fromula:
S.A = (a+b+c)L+bh.................... Equation 1Where:
S.A = Surface area of the prisma , b, c = Three sides of the base triangle respectively.h = Height of the triangular baseL = Lenght of the prismFrom the question,
Given:
L = 12 ina = 5 inb = 9 inc = 7.2 inh = 4 inSubstitute these values into equation 1
S.A = (5+9+7.2)12+(4×9)S.A = 254.4+36S.A = 290.4 in²Hence, the right option is B. 290.4 in².
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Translate the sentence into an equation.
Seven more than the quotient of a number and 6 is equal to 2.
Use the variable x for the unknown number.
Answer:
Step-by-step explanation:
Let's break down the problem:
Quotient = result obtained by dividing one quantity by another
So its division of x (a number implying variable) by 6
Then it says equal to 2 so we can piece together an equation like this
x/6 = 2
Then we use algebra to solve it
6(x/6)= (2)6
x = 12
So 12 is the unknown number
People travel by bus or by train from hiraddug station on tuesday 420 people travelled by bus from the station the ratio of the number of people travelling by bus to the number of people travelling by train was 20:17 calculate the number of people who travelled by train from the station on tuesday
The number of people travelled by train from the station on tuesday is 357.
Let us assume the number of people who travelled by train from the station on tuesday be x. Using the concept of ratio and proportion to solve and calculate x.
Forming the ratio-
20 : 17 = 420 : x
Solving the ratio and proportion for the value of x
x = (420 × 17) ÷ 20
Performing multiplication in numerator
x = 7140 ÷ 20
Performing division on Right Hand Side of the equation
x = 357
Therefore, based on the information, 357 people used to travel.
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the larger the sample size, the better will be the normal approximation to the sampling distribution of sample mean.
As sample size grows, sample variance (variation among observations) grows, while sample mean variance (standard error) decreases, and therefore precision grows.
Define the term normal approximation?The normal curve approximates the sample distribution of averages as well as proportions from just a large number of distinct experiments.
The population value corresponds to the assumption of a sample fraction or average.Because summing big values might be cumbersome or impossible with certain discrete distributions, such as the Binomial or Poisson distributions. The Normal Distribution, thankfully, provides us to approximation the probability for random variables which would otherwise be impossible to quantify.Thus, the better the normal approximation here to sampling distribution for sample mean, the greater the sample size.
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Work out the area of this circle. Take to be 3.142 and write down all the digits given by your calculator. Circles - Area 6.9 cm
The Area of the circle is 149.6 when the radius is 6.9cm.
Given that,
The radius is 6.9cm when the pi value is 3.142
Find the circle's area is what we must do.
We know that,
Radius is 6.9cm
r= 6.9cm
The space a circle occupies in a two-dimensional plane is referred to as its area. As an alternative, the area of a circle is the area included within the circle's perimeter.
Area of the circle is πr²
Area of the circle= 3.142×6.9²
Area of the circle= 3.142×47.61
Area of the circle=149.6
Therefore, The Area of the circle is 149.6 when the radius is 6.9cm.
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If 1400 dollars is invested in an account for 10 years. find the value of the investment at the end of 10 years if the interest is: (a) 4.6% compounded annually: $ 2195.05 correct (b) 4.6% compounded semiannually: $ (a) 4.6% compounded quarterly: $ 2211.88 correct (b) 4.6% compounded monthly: $ 2215.75 correct (a) 4.6% compounded daily (ignore leap years): $ 2217.63 correct
The compound interest calculated for 10 years annually, semi-annually, quarterly, monthly, and daily are (a) $2195.05, (b) $2206.18 (c) $2211.88 (d) $2215.75, and, (e) $2217.63
The formula for Compound Interest is
Amount = Principal X (1 + r/n100)ⁿˣ
where,
Principal = original mount
n = no. of times the interest is applied
t = time period
Here,
Principal = $1400
x = 10
r = 4.6
a)
Since it is compounded annually, the interest will be given 10 times in 10 years. therefore, once a year
Hence,
n = 1
Amount = 1400 X (1 + 4.6/100)¹⁰
= 1400 X (104.6/100)¹⁰
= 1400 X (1.046)¹⁰
= $2195.05
b)
Since the interest is compounded semi-annually here, it will be calculated twice a year.
Hence, n = 2
Therefore we get
Amount = 1400 X (1 + 4.6/200)²⁰
= 1400 X (204.6/200)²⁰
= 1400 X (1.023)²⁰
= $2206.18
c)
Since it is compounded 4 times a year now,
n = 4
Hence we get
Amount = 1400 X (1 + 4.6/400)⁴⁰
= 1400 X (1.0115)⁴⁰
= $2211.88
d)
Here, the interest is calculated 12 times a year
Hence we get
Amount = 1400 X (1 + 4.6/1200)¹²⁰
= 1400 X (10038)¹²⁰
= $2215.75
e)
Here we are told to ignore leap years, hence we are only going to consider a year to have 365 days.
Hence,
n = 365
Therefore, we get
Amount = 1400 X (1 + 4.6/36500)³⁶⁵⁰
= 1400 X (1 + 4.6/36500)³⁶⁵⁰
= 1400 X (1.00012)³⁶⁵⁰
= $2217.63
Correct Question
If 1400 dollars is invested in an account for 10 years. find the value of the investment at the end of 10 years if the interest is:
(a) 4.6% compounded annually
(b) 4.6% compounded semiannually
(c) 4.6% compounded quarterly
(d) 4.6% compounded monthly
(e) 4.6% compounded daily (ignore leap years)
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A handicapped ramp is being constructed for the front entrance of First National Bank in Springfield. ADA guidelines requires a rise angle from the foot of the ramp (point furthest from the entrance) not to exceed 4.8 degrees. This means the vertical to horizontal ratio cannot exceed 1:12. If the handicapped ramp must start 15 feet away from the front entrance, contractors estimate the rise to be about 3 feet.
Part A: Explain thoroughly whether or not these ramp dimensions meet the ADA guidelines.
Part B: If the rise estimate does not meet ADA requirements, provide a measurement that would meet the guidelines.
a. The ramp dimensions of 15 feet away and 3 feet above do not meet the ADA guidelines.
b. A measurement that would meet the guidelines is the ramp starting 39 feet away, with a height of 3 meters.
How to verify if the ramp meets the guideline?The verification if the ramp meets the guidelines is made with the slope of the ramp, which is the ratio of the vertical distance of the ramp by the horizontal distance of the ramp, obtained dividing these two measures.
The measures are given as follows:
Vertical distance: The rise of 3 feet.Horizontal distance: 15 feet.Hence the ratio is given as follows:
3/15 = 1/5.
The ratio is greater than the threshold of 1/12, hence the ramp does not meet the guideline.
Keeping the vertical distance, the adequate horizontal distance is obtained multiplying the vertical distance by 13, as the ratio would be of 1/13, hence:
13 x 3 = 39 feet.
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The bids in an online auction are represented by the arithmetic sequence shown below. Write an explicit formula to represent the bids as an arithmetic sequence. What is the twelfth bid?
195, 205, 215, 225,...
A(n) =
A(12) =
(Type an expression using n for the variable.)
(Simplify your answer.)
(a) The nth term of the sequence is given by A(n)=195 + (n - 1)10.
(b) The 12th term of the sequence is A(12) = 305.
What is an arithmetic sequence?One arithmetic progression with a common difference of 2 is the sequence 5, 7, 9, 11, 13, 15,...
The term "finite arithmetic progression" or "arithmetic progression" refers to a limited segment of an arithmetic progression.
A mathematical sequence has the following structure: a, a+d, a+2d, a+3d, etc., up to n terms. The initial term is a, the shared distinction is d, and n is the total number of words. Find the AP, the first term, the number of terms, and the common difference for the computation using the arithmetic sequence formulae. To determine the nth term, sum, or common difference of a given arithmetic sequence, many formulae related to arithmetic series are utilized.
A(n)=195+(n-1)10
The given arithmetic sequence is 195, 205, 215, 225,.....
The first term a =195
The common difference d= 205-195
d =215-205
d =225-215
So, d = 10
(a) The nth term is given by
A(n)=a+(n-1)d
A(n)=195+(n-1)10
(b) For n=12, the 12th term is given by
A(12)=195+11(10)
A(12)=305
Therefore, A(n)=195+(n-1)10
And A(12)=305
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the length of a rectangle is increasing at the rate of 6 \text{ cm/s}6 cm/s, and its width is increasing at a rate of 2 \text{ cm/s}2 cm/s. when the length is 40 \text{ cm}40 cm and the width is 15 \text{ cm}15 cm, how fast is the area of the rectangle increasing?
The rectangle's area is growing at a rate of 170 cm per second.
Given that,
Area of Rectangle given by.
A = length x width
A = LW
L =length of Rectangle
W =width of Rectangle
Now, dA/dt = W dl/dt + l dw/dt
dA/dt is the rate of change of area of the rectangle
dl/dt is the rate of change of length of the rectangle
dw/dt is the rate of change of width of the rectangle
at L = 40cm, W= 15 cm
dw = 2 cm/s,
dl = 6 cm/s,
dA = ?
dA/dt = W dl/dt + l dw/dt
= 15x6 + 40x2
= 90 +80
=170 cm /sec
Thus, the area of the rectangle increasing at 170 cm /sec
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Can anyone please help me with this question
The length of AD in the parallelogram is 143 cm.
How to find the side of a parallelogram?A parallelogram is a quadrilateral with opposite sides parallel to each other. The opposite angles of a parallelogram are equal. Two adjacent or consecutive angles of a parallelogram are supplementary.
Hence,
2x + 72 + 2x - 20 = 180
4x + 52 = 180
4x = 180 - 52
4x = 128
divide both sides by 4
4x / 4 = 128 / 4
x = 32
Therefore,
∠A = 2(32) + 72 = 64 + 72 = 136 degrees
z = 136°
Therefore,
AC = BC = BD = AD
AC = z + 7
AC = 136 + 7
AC = 143 cm
Hence,
AD = 143 cm
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What is the zero of g?
(-6,0)
(-3, -4.5)
(-8, 0)
(0,-9)
Answer: Either C. or D.But I'm sure it's D.
Step-by-step explanation:
Im give qs for my lil sis so she wants 16 x 5
Answer:
80
Step-by-step explanation:
16x5=80
5. (x+3)(x-3)+(x-3)²
Simplify the expression above in standard form.
Answer: 2x^2 -6x
Step-by-step explanation:
First you should distribute the x's as shown:
(x)(x)+(x)(−3)+(3)(x)+(3)(−3)+x2+−6x+9=x2+−3x+3x+−9+x2+−6x+9
Then combine Like terms:
↓x2+−3x+3x+−9+x2+−6x+9=↓
↓(x2+x2)+(−3x+3x+−6x)+(−9+9)↓
2x2+−6x
Hope this helped... :)
