Answer:
\(18 {m}^{2} \)
Step-by-step explanation:
The figure shown in the image is a parallelogram.
To find the area of a parallelogram we use the following formula:
A = b • h (b: base, h: height)
The height is 4.5m while the base is given as 4m
(4.5) • 4 = 18
Since the area is put in square units the answer is
\(18 {m}^{2} \)
There are at least 12 people on the bus. Three people get on the bus at the next stop and no one gets off, Write an
inequality that represents the number of people who may be on the bus now.
Explain your thinking
Answer:
12-3 may be 9
Step-by-step explanation:
please help me with this please i need the amswers for today,
The coordinates of each points are:
A = (-0.5, -5)
B = (0.8, -1.8)
C = (-2.6, -2.2)
D = (-1.5, -8.9)
E = (2.5, -6.5)
F = (-1.5, 3.1)
G = (-2.4, 4.1)
H = (1.5, 3)
I = (2.7, 1.5)
J = (-1.5, 0)
K = (-6.5, 0)
We have,
The coordinates of each point are in an ordered form.
i.e
(x, y)
x is the x-axis value.
y is the y-axis value.
Thus,
A = (-0.5, -5)
B = (0.8, -1.8)
C = (-2.6, -2.2)
D = (-1.5, -8.9)
E = (2.5, -6.5)
F = (-1.5, 3.1)
G = (-2.4, 4.1)
H = (1.5, 3)
I = (2.7, 1.5)
J = (-1.5, 0)
K = (-6.5, 0)
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Which of the following is an equation for the circle above?
Consider that the equation of a circle with center (h,k) and radius 'r' is given by,
\((x-h)^2+(y-k)^2=r^2\)Now, observe the given graph carefully.
It is seen that the circle has vertical extremes as (1,6) and (1,-2).
This forms the largest chord of the circle, that is, the diamter of the circle (d).
So the center will be the mid point of this diameter. The coordinates of the center can be calculated using the mid-point formula as follows,
\(\begin{gathered} h=\frac{x_1+x_2}{2}=\frac{1+1}{2}=1 \\ k=\frac{y_1+y_2}{2}=\frac{6+(-2)}{2}=\frac{4}{2}=2 \end{gathered}\)Thus, the center of the circle is (1,2).
The radius of the circle is the distance between the center and any one of the extreme points.
So apply the distance formula between (1,2) and (1,6) to obtain the radius (r) of the circle,
\(\begin{gathered} r=\sqrt[]{(x_2-x_1)^2+(y_2-y_1)^2} \\ r=\sqrt[]{(1-1)^2+(6-2)^2} \\ r=\sqrt[]{(0)^2+(4)^2} \\ r=\sqrt[]{(4)^2} \\ r=4 \end{gathered}\)Now, substitute these values in the standard form to get the equation of the circle,
\(\begin{gathered} (x-1)^2+(y-2)^2=4^2 \\ (x-1)^2+(y-2)^2=16 \end{gathered}\)Thus, the equation of the given circle is obtained as,
\((x-1)^2+(y-2)^2=16\)Therefore, option A is the correct choice.
Which polynomial is represented by the algebra tiles?
O x²-x-4
O x²-x+4
O 3x² -5x + 8
O
3x²-5x-8
Answer:
3x^2-5x+8 is the answers for the question
Step-by-step explanation:
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Determine if each conjecture is true or false. If false,
provide a counterexample.
The sum of any two consecutive prime numbers is also prime.
The product of two even numbersis always divisible by 4.
Answer:
3498
Step-by-step explanation:
In art class students are mixing blue and red paint to make purple paint. Isaiah mixes 3 cups of blue paint and 7 cups of red paint. Casho mixes 4 cups of blue paint and 13 cups of red paint. Use Isaiah and Casho's percent of red paint to determine whose purple paint will be redder.
Based on the percent of red paint, Casho's purple paint will be redder than Isaiah's.
To determine whose purple paint will be redder based on the percent of red paint, we need to compare the ratios of red paint to the total paint used by Isaiah and Casho.
Isaiah's Ratio:
Isaiah mixes 3 cups of blue paint and 7 cups of red paint, making a total of 3 + 7 = 10 cups of paint.
To calculate the percent of red paint, we divide the amount of red paint (7 cups) by the total amount of paint (10 cups) and multiply by 100 to get the percentage:
Red paint percentage for Isaiah = (7 cups / 10 cups) * 100 = 70%
Casho's Ratio:
Casho mixes 4 cups of blue paint and 13 cups of red paint, making a total of 4 + 13 = 17 cups of paint.
To calculate the percent of red paint, we divide the amount of red paint (13 cups) by the total amount of paint (17 cups) and multiply by 100 to get the percentage:
Red paint percentage for Casho = (13 cups / 17 cups) * 100 = 76.47% (rounded to two decimal places)
Comparing the percentages, we can see that Casho's purple paint will be redder because Casho's paint has a higher percentage of red paint (76.47%) compared to Isaiah's paint (70%).
Therefore, based on the percent of red paint, Casho's purple paint will be redder than Isaiah's.
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Please answer this question needed ASAP !
Answer: None of them. It should be 150 degrees.
See the explanation below for more details
==========================================================
Explanation:
To convert from radians to degrees, we multiply by the factor (180/pi)
The formula we can use is
y = (180/pi)*x
where x is the angle in radians, and y is the angle in degrees
Plug in x = (5/6)pi and evaluate
y = (180/pi)*x
y = (180/pi)*(5/6)*pi
y = (180/pi)*(5pi/6)
y = (180*5pi)/(pi*6)
y = (180*5)/(6)
y = (6*30*5)/(6)
y = (30*5)/(1)
y = 150
So the angle (5/6)pi radians, aka 5pi/6 radians, is equivalent to 150 degrees. Unfortunately this answer choice isn't listed. You'll have to let your teacher know there's a typo somewhere.
what the answer for this area?
Answer:
the answer is 105
Step-by-step explanation:
because 5×3=15 so 15×7 =105
unction g is a transformation of the parent tangent function such that
. Which graph represents function g?
A.
The graph shows trigonometric functions intercept the x-axis at minus 3, 0.2, and 3.5 units also pass parallel to the g of the x-axis.
B.
The trigonometric functions intercept the x-axis at minus 4.2, minus 1.1, 2, and 5 units also pass parallel to the g of the x-axis.
C.
The trigonometric functions intercept the x-axis at minus 3.5, minus 0.2, and 3 units also pass parallel to the g of the x-axis.
D.
The trigonometric functions intercept the x-axis at minus 5, minus 2, 1, and 4.2 units also pass parallel to the g of the x-axis.
Answer:
A.
The graph shows trigonometric functions intercept the x-axis at minus 3, 0.2, and 3.5 units also pass parallel to the g of the x-axis.
p(x)=5x^4+7x^3-2x^2-3x+c divided by (x+1)
The remainder is 5 + c, which means that the expression P(x) = \(5x^4 + 7x^3 - 2x^2 - 3x + c\) divided by (x + 1) results in a quotient of\(5x^3 + 2x^2 - 4x + 4\) and a remainder of 5 + c.
To divide the polynomial P(x) = \(5x^4 + 7x^3 - 2x^2 - 3x + c\) by the binomial (x + 1), we can use polynomial long division.
Let's set up the long division:
\(5x^3 + 2x^2 - 4x + 4\)
_______________________
x + 1 | \(5x^4 + 7x^3 - 2x^2 - 3x + c\)
We start by dividing the highest degree term of the dividend (5x^4) by the divisor (x + 1), which gives us 5x^3. We then multiply this quotient by the divisor (x + 1) and subtract it from the dividend:
\(5x^3(x + 1)\)
_______________________
x + 1 | \(5x^4 + 7x^3 - 2x^2 - 3x + c\)
- (\(5x^3 + 5x^2)\)
This leaves us with a new polynomial:\(2x^3 - 7x^2 - 3x + c\). We repeat the process by dividing the highest degree term of this polynomial (2x^3) by the divisor (x + 1), resulting in 2x^2. We then multiply this quotient by the divisor and subtract it from the polynomial:
\(5x^3(x + 1) + 2x^2(x + 1)\)
_______________________
x + 1 | \(5x^4 + 7x^3 - 2x^2 - 3x + c\)
-\((5x^3 + 5x^2)\)
_______________________
\(2x^2 - 3x + c\)
We continue this process until we reach the constant term, resulting in the remainder of the division.
At this point, we have:
\(5x^3(x + 1) + 2x^2(x + 1)\)
_______________________
x + 1 | \(5x^4 + 7x^3 - 2x^2 - 3x + c\)
- \((5x^3 + 5x^2)\)
_______________________
\(2x^2 - 3x + c\)
-\((2x^2 + 2x)\)
_______________________
- 5x + c
- (-5x - 5)
_______________________
5 + c
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On average, Nathaniel drinks
4/5 of a 10-ounce glass of water in
2 2/5
hours. How many glasses of water does he drink in one hour? Enter your answer as a whole number, proper fraction, or mixed number in simplest form.
Nathaniel drinks 3 glasses of water in one hour.
To find out how many glasses of water Nathaniel drinks in one hour, we need to calculate his drinking rate per hour.
In 2 2/5 hours, Nathaniel drinks 4/5 of a 10-ounce glass of water.
Let's convert the mixed number of hours to an improper fraction:
\(2\frac{2}{5} = \frac{(5 \times2 + 2)}{5}\)
\(=\frac{12}{5}\)
Now, we can set up a proportion to find his drinking rate per hour.
We know that \(\frac{12}{5}\) hours corresponds to \(\frac{4}{5}\) of a glass of water.
Let's assign "x" as the number of glasses he drinks in one hour.
The proportion is then
\(\frac{(\frac{12}{5} hours) }{(x glasses) } =\frac{(\frac{4}{5} glass)}{(1 hour)}\)
Cross-multiplying gives us
\((\frac{12}{5} )\times1=\frac{4}{5}\times(x)\)
Simplifying, we get
\(\frac{12}{5} =\frac{4}{5}\times x\)
Dividing both sides by \(\frac{4}{5}\), we find x:
\(x=\frac{(\frac{12}{5} )}{\frac{4}{5} }\)
\(x=\frac{12}{4}\)
\(x = 3.\)
Therefore, Nathaniel drinks 3 glasses of water in one hour.
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PLS HELP ME I NEED AN A I GIVE 50 POINTS
Answer:
The one on the left shows a proportional relationship between x and y.
Step-by-step explanation:
equation your going to use = y ÷ x or y/x (both mean divide)
2÷4 = 0.5
5÷10 = 0.5
6÷12= 0.5
All have the same answers so that makes it a proportional relationship.
Can I please get some help I’ve been stuck on this question for a while!
Using the radius of the Ferris wheel and the angle between the two positions, the time spent on the ride when they're 28 meters above the ground is 12 minutes
How many minutes of the ride are spent higher than 28 meters above the ground?The radius of the Ferris wheel is 30 / 2 = 15 meters.
The highest point on the Ferris wheel is 15 + 4 = 19 meters above the ground.
The time spent higher than 28 meters is the time spent between the 12 o'clock and 8 o'clock positions.
The angle between these two positions is 180 degrees.
The time spent at each position is 10 minutes / 360 degrees * 180 degrees = 6 minutes.
Therefore, the total time spent higher than 28 meters is 6 minutes * 2 = 12 minutes.
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Estimate the cost of 3.2 pounds of apples.
The cost of 3.2 pounds of apples is about
Answer:
It is about 6 pounds!
Exactly is 6.4 pounds!
Step-by-step explanation:
round 3.2 to 3 and the other 3.2 to 3 as well and add to equal 6
EXACT: 3.2 + 3.2 = 6.4
Find the missing angle
RPQ= __________
The value of angle RPQ in the circle is 115 degrees.
How to find the angle in the circle?Using angles of intersecting chord theorem, If two chords intersect inside a circle, then the measure of the angle formed is one half the sum of the measure of the arcs intercepted by the angle and its vertical angle.
Therefore,
∠RPQ = 1 / 2 (arc angle RQ + arc angle SA)
arc angle RQ = 175 degrees
arc angle SA = 55 degrees
Hence,
∠RPQ = 1 / 2 (175 + 55)
∠RPQ = 1 / 2 (230)
∠RPQ = 115 degrees.
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Answer: 115 degrees
Step-by-step explanation:∠
RPQ = 1 / 2 (175 + 55)
∠RPQ = 1 / 2 (230)
∠RPQ = 115 degrees.
Express 75 as a product of its prime factors write the prime factors in ascending order and give your answer in index form
Step-by-step explanation:
75 = 3 x 5 x 5 in prime factorization
Answer:
Step-by-step explanation:
3x5x5
how many whole are there in 4/6
The total number of whole number between -4 and 6 are 7 that are 0,1,2,3,4,5,6.
What is an example of a whole number?Whole numbers are the complete set of natural numbers plus '0'. Examples include: 0, 11, 25, 36, 999, 1200, and so on. Learn more about numbers by clicking here.
Is every whole number an integer?Integers supplement this set of numbers because they include negatives, but otherwise follow the same rules. As a result, all whole numbers are integers (because they are all positive integers), but not all integers are whole numbers (because some are negative).
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please help3x+5≤2x-1
Given:
\(3x+5\leq2x-1\)The objective is to find the inequality of the given equation.
To solve, bring the variables with x to the left side of the question.
\(\begin{gathered} 3x+5\leq2x-1 \\ 3x-2x\leq-5-1 \\ x\leq-6 \end{gathered}\)Hence the value of x lies between,
\((-6,-\infty)\)Find the value of x.
b
(23x+1)
52°
3
Answer:
Step-by-step explanation:
Adjacent angles when a line crosses another line must have a sum of 180 degrees.
52+2^(3x+1)=180
2^(3x+1)=128, 128=2^7 so
2^(3x+1)=2^7 which means
3x+1=7
3x=6
x=2
Which equation is y +5 = 1/3 (x - 9) in slope-intercept form
Answer:
y=1/3x-8
Step-by-step explanation:
y+5=1/3(x-9)
y=1/3x-9/3-5
y=1/3x-3-5
y=1/3x-8
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can somebody help me with this question? please and thank you
the answer to your question is 72
Write an equation (a) in standard form and (b) in slope-intercept form for the line described.through (6,5), parallel to y = - 10(a) The equation of the line in standard form is enter your response here.
Answer:
Explanation:
Here, we want to write the equation of a line in both the standard and slope-intercept form
The general form is the slope-intercept form which is
\(y\text{ = mx + b}\)where m is the slope and b is the y-intercept
From the equation given, we have it that the slope is 0
When two lines are parallel, the value of their slopes is equal
Thus, the slope of the line we want to write its equation is 0 too
For the slope-intercept form:
\(\begin{gathered} y-y_1=m(x-x_1) \\ (x_{1,}y_1)\text{ = (6,5)} \\ y-5\text{ = 0(x-6)} \\ y-5\text{ = 0} \\ y\text{ = 5} \end{gathered}\)This is the slope-intercept form
The general form is:
\(Ax\text{ + By = C}\)There is no parts for x since the slope is zero
Thus, we have the standard form as:
\(y=5\)Please help me
pleaseeeeeeeeeeeee:(Factor the polynomials. Then highlight the factors that make up your factorization
The polynomials when factored are (6x + 3)(x - 1), (3x - 1)(3x + 1)(9x² + 1) and (2x + 5)(x - 3)³
How to factor the polynomialsPolynomial a
From the question, we have the following parameters that can be used in our computation:
6x² - 3x - 3
Expand
6x² - 6x + 3x - 3
Factorize
6x(x - 1) + 3(x - 1)
So, we have
(6x + 3)(x - 1)
Polynomial b
Here, we have
81x⁴ - 1
Apply the difference of two squares
(9x² - 1)(9x² + 1)
Apply the difference of two squares
(3x - 1)(3x + 1)(9x² + 1)
Polynomial c
Here, we have
2x⁴ + 5x³ - 54x - 135
Using a graphing tool, we have
(2x + 5)(x - 3)³
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Question 3(Multiple Choice Worth 3 points)
(01.04 LC)
Which of the following expressions is equivalent to 2x +4? (The x+4 is to the power of x)
A) 8(2) ^x
B) 2^x/8
C) 16(2)^x
D) 2^x/16
The expression that is equivalent to the expression 2ˣ⁺⁴ is 16(2ˣ)
Which expression is equivalent to the expressionFrom the question, we have the following parameters that can be used in our computation:
2ˣ⁺⁴
The above expression is an exponential expression with the following properties
Base = 2Exponent = x + 4When the above expression is expanded, we have
2ˣ⁺⁴ = 2ˣ * 2⁴
Evaluate the expression 2 exponent 4
So, we have the following representation
2ˣ⁺⁴ = 2ˣ * 16
Rewrite as follows
2ˣ⁺⁴ = 16 * 2ˣ
This gives
2ˣ⁺⁴ = 16(2ˣ)
Hence, the expression that is equivalent to the expression is 16(2ˣ)
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What is 20000000 in standard form
Answer:
twenty million
Step-by-step explanation:
there are 7 zeros so the "20" part would be one number then there would be a comma and the 3 zeros and then another comma then the other 3 zeros
Find the slope of the line
Answer:
-3/2 I think
Step-by-step explanation:
rise over run
Answer:
slope = -3/2
Step-by-step explanation:
The line is down 3, right 2
If you want the entire equation it is y = -3/2x + 2
Select the expression that is equivalent to
Answer:
1st option - \(\frac{1}{\sqrt[5]{7x } }\)
Step-by-step explanation:
A fractional power can be broken down.
The denominator will be the root number
The numerator will be the power
For example x^1/2 = √x^1 = √x
So :
\(\frac{1}{7x^{\frac{1}{5} } }\) = \(\frac{1}{\sqrt[5]{7x^{2} } }\) = \(\frac{1}{\sqrt[5]{7x}}\)
So 1st option
Answer: the answer on the far left
Step-by-step explanation: i looked it up
[-12] + [4] find the absolute value of each integer then add them
Hello there!
Answer:
16
Step-by-step explanation:
\( |x| = x \: \: \: if \: \: x \: \geqslant 0 \\ |x| = - x \: \: \: if \: \: \: x \: \leqslant 0\)
-12 < 0 so |-12| = -(-12) = 12
4 > 0 so |4| = 4
|-12| + |4| = 12 + 4 = 16
Answer:
16
Step-by-step explanation:
Hello! This question is looking for the absolute value of integers. The absolute value is the distance the number has from zero. For example, -12 as twelve numbers away from zero, twelve away in the negative direction. The absolute value of -12, then, is just twelve. An easy way to remember this is to take away the negative sign when taking the absolute value, since an absolute value can never be negative. The absolute value sign is represented by a squarish bracket [ and ].
This question says to find the absolute value of each integer and then add the two. First we have [-12]. This is 12 away from zero, and we can take away the - sign from the asked integer and we get 12.
The second integer given is 4, and when we take the absolute value of 4, [+4], we get positive four. This is because four is four spaces away from zero on the number line.
Thus, we have +12 and +4 as are values to add since they are the absolute values and we can form this equation
12+4=16
Thus, the answer is 16.
Hope this helps! Remember the hint, when something has brackets like that or asks for the absolute value, take away a negative sign and make it positive! Have a great day!
Written as a simplified polynomial in standard form, what is the result when (x-4)^2 is subtracted from 10x?
Answer:
\(-x^2 +18x -16\)
Step-by-step explanation:
First we must apply the distributive property to expand \((x -4)^2\):
\((x -4)^2 \\ (x -4)(x -4) \\ x(x -4) -4(x -4) \\ x^2 -4x -4x +16 \\ x^2 -8x +16\).
Now we can subtract the result from \(10x\).
\(10x -(x^2 -8x +16) \\ 10x -x^2 +8x -16 \\ -x^2 +10x +8x -16 \\ -x^2 + (10 +8)x -16 \\ -x^2 +18x -16\)
Answer:
9x^2 + 8x - 16
Step-by-step explanation:
what is -6(w-4)+8w=2(w+9)
Answer:
Explanation:
The equation
\(-6(w-4)+8w=2(w+9)\)can be solved for w by first expanding both sides
Now,
\(-6(w-4)+8w=2w+24\)and
\(2(w+9)=2w+18\)therefore, our equation becomes
\(2w+24=2w+18\)Subtracting 2w from both sides gives
\(24=18\)We see a contradiction here. 24 is not equal to 18; therefore, the equation given has no solutions.