The property tax on a $160,000 home is $3,840. At this rate, what is the property tax on a home appraised at $260,000? $
Answer:
$6240
Step-by-step explanation:
Find the rate by dividing property tax by the appraisal value.
[tex]\frac{3840}{160000}=0.024[/tex]
Now multiply the appraised value by this rate to find the property tax.
[tex]260000*0.024=6240[/tex]
The property tax on a home appraised at $260,000 is $6,240.
Explanation:To find the property tax on a home appraised at $260,000, we can set up a proportion using the given information. The property tax on a $160,000 home is $3,840, so we have:
$160,000 : $3,840 = $260,000 : x
Using cross-multiplication, we can solve for x:
x = ($260,000 * $3,840) / $160,000
Calculating this, we find that the property tax on a home appraised at $260,000 is $6,240.
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Which similarity statement expresses the relationship between the two triangles ?
AXYZ-AQRS
AXYZ AROS
AZXY-AQSR
AZXY-AQRS
Answer: [tex]\triangle{ZXY}\sim\triangle{QRS}[/tex]
Step-by-step explanation:
in the given picture , we have two triangles ΔXYZ and ΔRSQ, in which
[tex]\overline{XY}=14=4\times3.5=4\times\overline{RS}[/tex]
[tex]\overline{YZ}=16=4\times4=4\times\overline{SQ}[/tex]
[tex]\overline{ZX}=12=4\times3=4\times\overline{SR}[/tex]
i.e. [tex]\dfrac{XY}{RS}=\dfrac{YZ}{SQ}=\dfrac{ZX}{QR}=\dfrac{4}{1}[/tex]
By SSS-similarity postulate, we get
[tex]\triangle{ZXY}\sim\triangle{QRS}[/tex]
SSS-similarity postulate says that if the lengths of the corresponding sides of two triangles are proportional, then the triangles must be similar
without actual calculation find (25)^3-(75)^3+(50)^3
Answer:
Simplified to -281250
Step-by-step explanation:
Simplify.
3√7/25−√28/25+√63/25
Answer:
4√7/5
Step-by-step explanation:
to take a root of a fraction, take the root of the numerator and denominator separately3×√7/5-√28/5+√63/5
calculate the product3√7/5-2√7/5+3√7/5
calculate the sum or difference4√7/5
The simplified value of [tex]\frac{3\sqrt{7} }{25} -\frac{\sqrt{28} }{25} +\frac{\sqrt{63} }{25}[/tex] will be [tex]\frac{4\sqrt{7}}{25}[/tex].
What is system of equations?System of equations is a finite set of equations for which common solutions are sought.
We have,
[tex]\frac{3\sqrt{7} }{25} -\frac{\sqrt{28} }{25} +\frac{\sqrt{63} }{25}[/tex]
Now,
Take LCM, of the given fraction,
We get,
[tex]\frac{3\sqrt{7} -\sqrt{28}+\sqrt{63}}{25}[/tex]
Now,
Simplify by rewriting every number in numerator in form of [tex]\sqrt{7}[/tex],
i.e.
[tex]\frac{3\sqrt{7} -\sqrt{4*7}+\sqrt{9*7}}{25}[/tex]
Now,
[tex]\frac{3\sqrt{7} -2\sqrt{7}+3\sqrt{7}}{25}[/tex]
Now,
Every digit is in the form of [tex]\sqrt{7}[/tex],
So,
Simplify,
We get,
[tex]=\frac{4\sqrt{7}}{25}[/tex]
So,
This is the simplified form of the given equation.
Hence, we can say that the simplified value of [tex]\frac{3\sqrt{7} }{25} -\frac{\sqrt{28} }{25} +\frac{\sqrt{63} }{25}[/tex] will be [tex]\frac{4\sqrt{7}}{25}[/tex].
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Angle f and angle G are complementary. The measure angle f is four times the measure of angle G. What is the measure of each angle?
Complementary means they add to 90°
f=90-g
f=4g
4g =90-g
5g=90
g=18
f=4g=4(18)=72
Answer: f=72°, g=18°
Factor the following polynomial completely.
x^4y+8x^3y-6x^2y^2-48xy^2
Answer:
xy(x+8)(x^2-6y)
Step-by-step explanation:
To long to explain, but you can just google it if you just need the answer
Answer:
xy(x^2 - 6y)(x + 8 ) .
Step-by-step explanation:
The Greatest Common Factor of this expression is:
xy so dividing by this:
= xy(x^3 + 8x^2 - 6xy - 48y).
Factoring the expression in the parentheses by grouping:
= xy [ x^2( x + 8) - 6y (x + 8)]
= xy(x^2 - 6y)(x + 8 ) (answer).
The input-output diagram represents F(x) - X+4.
What is the missing output value?
Answer:
9
Step-by-step explanation:
(5)+4=9
The missing output value is:
9
Step-by-step explanation:The function in terms of the variable x, where x represents the input value is given by the formula:
[tex]F(x)=x+4[/tex]
where F(x) is the output value corresponding to the input value x.
We are asked to find the missing output value i.e. we are asked to find the value of F(x) at x=5.
i.e. we have:
[tex]F(5)=5+4\\\\i.e.\\\\F(5)=9[/tex]
Hence, the missing output value is: 9
WILL MARK BRAINLIEST
The surface area of a sphere is 900pi square inches. What is the radius of the sphere?
Recall the formula SA= 4 pi r^2.
15 inches
18 inches
30 inches
60 inches
Answer:
15 inches
Step-by-step explanation:
The formula for the circumference of a circle of radius R is 2*Pi*R. Similarly, the volume of a ball enclosed by a sphere of radius R is (4/3)*Pi*R3. And the formula for the surface area of a sphere of radius R is 4*Pi*R2. And, you can check that the latter is the derivative of the former with respect to R.
Answer:
15 inches
Step-by-step explanation:
SA=4PIR^
900PI=4PIR^2
R^2=900PI/4PI
R^2=225
R=SQRT225
R=15 IN.
PROOF:
900PI=4PI^15^2
900PI=4PI*225
900PI=900PI
3x^2-x-2=0
Show all work please
Answer:
[tex]\large\boxed{x=-\dfrac{2}{3}\ or\ x=1}[/tex]
Step-by-step explanation:
[tex]3x^2-x-2=0\\\\3x^2+2x-3x-2=0\\\\x(3x+2)-1(3x+2)=0\\\\(3x+2)(x-1)=0\iff3x+2=0\ \vee\ x-1=0\\\\3x+2=0\qquad\text{subtract 2 from both sides}\\3x=-2\qquad\text{divide both sides by 3}\\x=-\dfrac{2}{3}\\\\x-1=0\qquad\text{add 1 to both sides}\\x=1[/tex]
Identify an equation in point-slope form for the line perpendicular to
y=-4x - 1 that passes through (-2,7).
O A. y-7 - -4(x +2)
O B. y+2- (x-7)
O C. y+7 -- (x-2)
O D. y-7 - 3(x+2)
SUBMIT
Answer:
A. y - 7 = -4(x + 2)
Step-by-step explanation:
Insert the coordinates into the formula with their CORRECT signs. Remember, in the Point-Slope Formula, y - y₁ = m(x - x₁), all the negative symbols give the OPPOSITE term of what they really are. In addition, I recall that perpendicular lines have OPPOSITE MULTIPLICATIVE INVERSE [RECIPROCAL] rate of changes [slopes], so -4 really should be replaced with ¼, but if your assignment says otherwise, then this is the answer.
To find the equation of a line perpendicular to y=-4x -1 that passes through (-2, 7), we take the negative reciprocal of -4 to find the slope of the perpendicular line. Plugging in the values (-2, 7) and 1/4 for the slope, we get the equation y - 7 = 1/4(x + 2). Therefore, the correct answer is A. y - 7 = -4(x + 2).
Explanation:To find the equation of a line perpendicular to a given line, we need to determine the slope of the perpendicular line. The given equation is in the form y = mx + b, where m represents the slope. The slope of the given line is -4. To find the slope of the perpendicular line, we take the negative reciprocal of -4, which is 1/4. Now that we have the slope, we can use the point-slope form of a linear equation, which is y - y1 = m(x - x1), where (x1, y1) is a point on the line. Plugging in the values (-2, 7) for (x1, y1) and 1/4 for the slope, we get the equation y - 7 = 1/4(x + 2). Therefore, the correct answer is A. y - 7 = -4(x + 2).
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A rectangle is 9 ft long and 40 in. wide. What is its perimeter in inches?
Answer:
296 inches
Step-by-step explanation:
The perimeter is the sum of sides of a rectangle
As the length is in feet while the width is in inches, a unit conversion must take place
As 1 feet equals to 12 inches
9 feet would be equal to 12*9=108 inches
The perimeter of a rectangle= 2(width)(length)
= 2(108)(40)
=296 inches
I Need Help!! What’s The Answer
Answer:
23°Step-by-step explanation:
Angles (2x + 14)° and (x + 7)° are complementary angles.
If two angles are complementary, then they add up to 90°.
Therefore we have the equation:
(2x + 14) + (x + 7) = 90 combine like terms
(2x + x) + (14 + 7) = 90
3x + 21 = 90 subtract 21 from both sides
3x = 69 divide both sides by 3
x = 23
f(x) = 3x+2
What is f(5)?
Answer:
f(5) = 17
Step-by-step explanation:
f(x) = 3x+2
Let x =5
f(5) = 3(5) +2
f(5) = 15+2
f(5) = 17
Based on the table below, evaluate f(1).
Answer:
f(1) = 24
Step-by-step explanation:
f(1) is the value of f(x) when x = 1, that is from the table
f(1) = 24
3(b+4)+8=-3 as a linear equation.
For this case we have the following equation:
[tex]3 (b + 4) + 8 = -3[/tex]
If we apply distributive property to the terms within the parenthesis we have:
[tex]3b + 12 + 8 = -3[/tex]
We add similar terms to the left side of the equation:
[tex]3b + 20 = -3[/tex]
Subtracting 20 from both sides of the equation:
[tex]3b = -3-20\\3b = -23[/tex]
Dividing between 3 on both sides of the equation:
[tex]b = - \frac {23} {3}[/tex]
In mixed number we have:
[tex]b = -7 \frac {2} {3}[/tex]
Answer:
[tex]b = -7 \frac {2} {3}[/tex]
I NEED HELP PLS!!!!
Out of fifty students, twenty five are taking Math Competition classes and 29 are taking Geometry. Given that 12 are taking History and no math classes and nineteen students are in both math classes.
a. How many students are in neither class?
IF YOU HELP, I'LL MARK YOU THE BRAINLIEST ANSWER!!!!!!!
By applying the principle of inclusion-exclusion and considering students in History, we find that 3 students are in neither Math Competition classes nor Geometry.
Explanation:To determine how many students are in neither Math Competition classes nor Geometry, we can use the principle of inclusion-exclusion. We have 50 students in total, with 25 in Math Competition classes and 29 in Geometry. However, since 19 students are in both classes, they were counted twice when we added the students in Math Competition classes and Geometry together. Thus, we subtract the number of students in both to avoid double-counting:
(25 + 29 - 19) = 35 students are in at least one of the math classes. Additionally, 12 students are in a History class and no math classes. Therefore, the number of students in at least one class (math or history) is 35 + 12 = 47.
Finally, to find the number of students in neither class, we subtract the number of students in at least one class from the total number of students:
50 - 47 = 3 students are in neither Math Competition classes nor Geometry.
if a customer receives 15% off a shirt that cost $20 and has to pay 6% sales tax. How much did the customer pay?
Answer:
$20(.85)(1.06) = $18.02
Solve the system of equations.
2x+2y+3z=4
5x+3y+5z=5
3x+4y+6z=5
Answer:
B. [tex]x=3,\ y=20,\ z=-14[/tex]
Step-by-step explanation:
Consider the system of three equations:
[tex]\left\{\begin{array}{l}2x+2y+3z=4\\5x+3y+5z=5\\3x+4y+6z=5\end{array}\right.[/tex]
Multiply the first equation by 5, the second equation by 2 and subtract them:
[tex]\left\{\begin{array}{r}2x+2y+3z=4\\4y+5z=10\\3x+4y+6z=5\end{array}\right.[/tex]
Multiply the first equation by 3, the second equation by 2 and subtract them:
[tex]\left\{\begin{array}{r}2x+2y+3z=4\\4y+5z=10\\-2y-3z=2\end{array}\right.[/tex]
Multiply the third equation by 2 and add the second and the third equations:
[tex]\left\{\begin{array}{r}2x+2y+3z=4\\4y+5z=10\\-z=14\end{array}\right.[/tex]
Fro mthe third equation
[tex]z=-14[/tex]
Substitute it into the second equation:
[tex]4y+5\cdot (-14)=10\\ \\4y=10+70\\ \\ 4y=80\\ \\y=20[/tex]
Substitute y=20 and z=-14 into the first equation:
[tex]2x+2\cdot 20+3\cdot (-14)=4\\ \\2x+40-42=4\\ \\2x-2=4\\ \\2x=6\\ \\x=3[/tex]
The solution is
[tex]x=3,\ y=20,\ z=-14[/tex]
Kasey has a job that pays $865 per week. How much is withheld from each paycheck for Social Security?
Kasey has $53.63 withheld from her weekly paycheck of $865 for Social Security, which is calculated by multiplying her weekly pay by the Social Security tax rate of 6.2%.
Explanation:The question asks us to calculate how much is withheld from Kasey's paycheck for Social Security.
With a weekly pay of $865, we need to find 6.2% of that amount since that is the percentage deducted for Social Security taxes.
To find this amount, we multiply $865 by 0.062.
Calculation: $865 × 0.062 = $53.63
Therefore, $53.63 is withheld from Kasey's paycheck each week for Social Security.
A student skipped a step when she tried to convert 26 hours into seconds,
and she got the following incorrect result:
26 hours
60 seconds
1 minute
- 1560 seconds
What conversion ratio did she skip in this multiple-step conversion?
60 minutes
O
A.
1 hour
60 seconds
1 minute
1 hour
60 minutes
1 minute
60 seconds
Help ASAP
Final answer:
The student missed the conversion from minutes to hours. The correct conversion is 26 hours × 60 minutes/hour × 60 seconds/minute, which equals 93,600 seconds.
Explanation:
Identifying the Missed Conversion Step
The student was attempting to convert 26 hours into seconds but arrived at an incorrect result of 1560 seconds. The error occurred because the student skipped the correct conversion ratio between minutes and hours. For such conversions, it is essential to use the correct conversion factors: 60 minutes per hour and 60 seconds per minute.
Correct Conversion Process
To convert 26 hours to seconds:
First, convert hours to minutes: 26 hours × 60 minutes/hour = 1560 minutes.
Then, convert minutes to seconds: 1560 minutes × 60 seconds/minute = 93,600 seconds.
Therefore, the correct number of seconds in 26 hours is 93,600 seconds.
If you spent 24 weeks working on a project for your job and was rewarded with 3 days of vacation, write the ratio of time on vacation to time working as a fraction in lowest terms.
The ratio of time on vacation to time working as a fraction in lowest terms when working 24 weeks and rewarded with 3 days of vacation is 1/56.
If you spent 24 weeks working on a project for your job and were rewarded with 3 days of vacation, the ratio of time on vacation to time working as a fraction in lowest terms can be calculated as follows:
Convert weeks to days: 24 weeks x 7 days/week = 168 days workedCalculate the fraction: 3 days vacation / 168 days worked = 1/56Therefore, the ratio of time on vacation to time working as a fraction in lowest terms is 1/56.Solve the two-step equation.
-0.45х + 0.33 = -0.66
What is the solution?
Ox = -2.2
Ox = -1.4
Ox = 1.4
Ox= 2.2
Answer:
x= 2.2
Step-by-step explanation:
-0.45х + 0.33 = -0.66
Subtract .33 from each side
-0.45х + 0.33-.33 = -0.66-.33
-.45x = -.99
Divide each side by -.45
-.45x/.-45 = -.99/.-45
x =2.2
The midpoint of VW is M(9, 8). One endpoint is W(8, 6). Find the coordinates of the other endpoint V.
Write the coordinates as decimals or integers.
The other endpoint V of the line segment is found by doubling the coordinates of the midpoint M and subtracting the coordinates of the known endpoint W. Applying this method, the coordinates of V are (10, 10).
Explanation:In Mathematics, the midpoint formula allows us to find the midpoint coordinates of a line segment. Given that M(9, 8) is the midpoint and W(8, 6) is one endpoint, you can find the coordinates of the other endpoint V using the formula:
V = (2M - W).
So, simply double the coordinates of the midpoint and subtract the coordinates of the known endpoint. This determines the coordinates of the other endpoint. For the given question, we apply this to get:
Vx = 2*9 - 8 = 10,
Vy = 2*8 - 6 = 10.
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Juliana is planning a vegetable garden. She has 27 tomato plants, 45 bean plants, and
54 carrot plants. She wants each row of her garden to have the same number of each
type of plant. What is the greatest number of rows that Juliana can have if she wants to
use all of her plants? How many of each type will she have in each row? pls help me
Answer:
9 rows, each having 3 tomato plants, 5 bean plants, and 6 carrot plants.
Step-by-step explanation:
This requires the GCF, or the greatest common factor. This means that you need the largest whole number that divides evenly into each of the numbers (27, 45, and 54).
27, 45, and 54 can all be divided by 9 to get a whole number.
27/9=3
45/9=5
54/9=6
This means that in each row, there will be 3 tomato plants, 5 bean plants, and 6 carrot plants.
The graph of f ′ (x), the derivative of f of x, is continuous for all x and consists of five line segments as shown below. Given f (0) = 7, find the absolute minimum value of f (x) over the interval [–3, 0].
A. 0
B. 2.5
C. 4.5
D. 11.5
Answer:
B
Step-by-step explanation:
f(0) - f(-3) = area under f'(x) from x=0 to x=3.
We can find the area under f'(x) in this interval by finding the area of the triangle formed by the line.
A = 1/2 b h
A = 1/2 (3) (3)
A = 4.5
f(0) - f(-3) = 4.5
Since f(0) = 7:
7 - f(-3) = 4.5
f(-3) = 7 - 4.5
f(-3) = 2.5
what are the possible combinations that can be made
What is the total surface area of the cone? 147π cm2 224π cm2 175π cm2 273π cm2
Answer:
Step-by-step explanation: I believe you would just take 147 + 224 + 175 + 273 = 819pi cm2
So your answer would be 819pi cm2
The answer is 224 pi
.....................................
please answer and thank you!!!
Answer:
In the photos
Step-by-step explanation:
First, create your trees (following instructions on the photo you attached). Then, circle the prime numbers in each tree you made. If the prime number shows up once put that number once on your prime factorization. If the prime number appears multiple times, put the number down and have an exponent (the exponent is determined by how many times that number appears).
Hope this helps a bit,
Flips
Please help question in picture please
Answer:
-1,3,5,9,13
Step-by-step explanation:
2(-3)+5=-6+5=-1
2(-1)+5=-2+5=3
2(0)+5=0+5=5
2(2)+5=4+5=9
2(4)+5=8+5=13
the graph shows the relationship between the volume of a rectangular prism and the volume of a square pyramid with an identical base and height what is the slope of the line
Answer:
The difference in volume is that the prism's volume is 3 times greater than the pyramid's volume.
Without seeing the graph, I can't tell what the slope is, but depending on the way the graph is drawn, the slope should be 1/3 or 3.
Answer:
The answer is 1/3