Answer:
The area of this plate is about 21 in².
General Formulas and Concepts:
Algebra I
Equality Properties
Multiplication Property of EqualityDivision Property of EqualityAddition Property of EqualitySubtraction Property of EqualityTerms/Coefficients
Geometry
Circumference Formula: C = 2πr
r is radiusArea of a Circle Formula: A = πr²
r is radiusStep-by-step explanation:
Step 1: Define
Identify given.
C = 16.3 in
Step 2: Find Radius r
[Circumference Formula] Substitute in C:Step 3: Find Area
[Area of a Circle Formula] Substitute in r:∴ we have found the area of the plate.
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Topic: Geometry
Determine when the rational expression below is undefined:
(x + 1)(x-2)
(2x-8)
Answer:
When x = 4
Step-by-step explanation:
Division by zero is undefined. With real numbers, you are not allowed to divide by zero. Any value of x that causes the denominator to have a value of zero is not allowed. We need to find out which values of x cause the denominator to equal zero.
To do that, we set the denominator equal to zero and solve for x.
2x - 8 = 0
Add 8 to both sides.
2x = 8
Divide both sides by 2.
x = 4
Answer: The rational expression is undefined when x = 4
Check:
Let x = 4, and evaluate the denominator of the fraction.
2x - 8 = 2(4) - 8 = 8 - 8 = 0
By letting x = 4 in the denominator, the denominator does evaluate to zero causing an undefined value in the division. Therefore, our answer above is correct.
What is the answer?
9514 1404 393
Answer:
1278 × 4
Step-by-step explanation:
Apparently, a 4-digit number is being multiplied by a 1-digit number. We expect that the partial products are the result of multiplying single digit numbers with different place values.
So, 4000 = 1000 × 4 or 500 × 8
800 = 200 × 4 or 100 × 8
We don't think 8 is the multiplier, because 500 and 100 have digits with the same place value multiplier (100).
Continuing, ...
280 = 70 × 4
32 = 8 × 4
The numbers being multiplied seem to be 1278 × 4.
How would you describe the relationship between the real zero(s) and X-intercept(s) of the function f(x) =
3x(x - 1)
Answer:B
Step-by-step explanation:
The x-intercept of the mathematical function f(x) = 3x(x – 1) will be at (0, 0) and (0,1).
What are the roots of the function?The roots of the function are equal to 2 or less than 2.
The mathematical function is given below.
f(x) = 3x(x – 1)
Then the roots of the function will be
3x = 0
x = 0
And x – 1 = 0
x = 1
Then the x-intercept of the function f(x) = 3x(x – 1) will be at (0, 0) and (0,1)
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What is the interquartile range of the data :38,55,61,56,46,67,59,75,75,58
Answer:
12
Step-by-step explanation:
To dilute a cleaning product for use, 35 cl of concentrate needs to be added to 4 l of water. Heidi uses 12 l of water to make the cleaning liquid.
How much cleaning liquid has she made, in l
Answer:
13.05 l
Step-by-step explanation:
For 12 liter of water 12/4 times 0.35 l concentrate has to be added.
The total liquid volume is then
12 + 12/4 * 0.35 = 13.05
(1 cl = 0.01 l)
Answer:
3.5l
Step-by-step explanation:
Which one of the following is NOT true about the expression shown
9x^2-8x-3
A) The expression is trinomial
B) The degree is 2
C) the leading coefficient is 9
D) The constant term is 3
Answer:
A) The expression is a trinomial.
Step-by-step explanation:
If the degree is 2, the expression would be a binomial, not a trinomial. If this answer is correct, please make me Brainliest!
is (0,0) a solution of the graphed inequality?
Answer:
No
Step-by-step explanation:
What are the coordinates of vertex F of parallelogram FGHJ?
(–2, 2)
(–2, 6)
(–3, 4)
(–4, 2)
Answer:
D (-4,2)
Step-by-step explanation:
The coordinates of F is (-4,2), the correct option is D.
What is a Parallelogram?A parallelogram is a polygon with four sides, the opposite sides of the parallelogram is equal and parallel.
The figure is attached with the answer.
The final image is obtained by series of Transformations
1. Translation (1,2)
Translation T₁,₂ is (x,y)→(x+1,y+2)
So, After translation from F to F' the point F' = (x+1,y+2)
2. After Reflection along y axis F" = (-(x+1), y+2)
F" = ( 3,4)
F' = (-3,4)
F = (-4 , 2)
Therefore, the coordinates of F is (-4,2), the correct option is D.
The missing figure is attached with the answer.
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Find the arithmetic mean An of the given terms. A(n-1)=-8, A(n+1)=-9
[tex]a_n=\frac{a_{n-1}+a_{n+1}}{2} \\a_n=\frac{-8+(-9)}{2} =-8,5[/tex]
/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\
P.S. Hello from Russia :^)
Final answer:
The arithmetic mean An between A(n-1) = -8 and A(n+1) = -9 is calculated by taking the average of these two terms, resulting in An = -8.5.
Explanation:
To find the arithmetic mean An between A(n-1) and A(n+1), we use the definition of the arithmetic mean for a sequence of numbers. The mean of two numbers is simply the sum of those numbers divided by two, which can be represented by the formula: mean = (a + b) / 2. Given A(n-1) = -8 and A(n+1) = -9, we can set up the formula as follows:
An = (A(n-1) + A(n+1)) / 2
Substituting the given values results in:
An = (-8 + (-9)) / 2
An = (-17) / 2
An = -8.5
Therefore, the arithmetic mean An of the given terms is -8.5.
The sides of a triangle are 3x+2, 6x-1 and 7-x. Express the perimeter of the triangle in terms of x.
Answer:
8x+8
Step-by-step explanation:
The perimeter is all the sides added together:
3x+2+6x-1+7-x = 8x+8
The perimeter of the triangle in terms of x is expressed as 8 ( x - 1 ).
Given,
The sides of a triangle are 3x+2, 6x-1, and 7-x.
We need to express the perimeter of the triangle in terms of x.
What is the perimeter of a triangle?
It is given by:
Perimeter = sum of all three sides.
Find the sides of a triangle.
We have,
One side = 3x + 2
Second side = 6x - 1
Third side = 7 - x
Find the perimeter of the triangle.
Perimeter:
= one side + second side + third side
= (3x + 2) + (6x - 1) + (7 - x)
= 3x + 2 + 6x - 1 + 7 - x
= 3x + 6x - x + 2 - 1 + 7
= 8x + 8
Taking 8 common
= 8 ( x - 1 )
Thus the perimeter of the triangle in terms of x is expressed as 8 ( x - 1 ).
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3/5 of a number is 30 whats the number
Answer:
50
Step-by-step explanation:
We could call this number x in our equation. First set the equation to this
[tex]\frac{3x}{5} = 30[/tex]
Multiply on both sides to get rid of 5
now it looks like this...
[tex]3x = 150[/tex]
divide 150 by 3 and you get this
x=50
Thank me later :)
Answer:
50
Step-by-step explanation:
Let the number be X
⅗X = 30
X = 30 × 5/3
X = 50
PLZ answer fast 100 points
Consider a function y = f(x). Choose all options in which the effect on the graph of f is correctly described.
y = f(x + 3)
Shifts 3 units right.
y = f(x − 2) + 4
Shifts 2 units right, 4 units up.
y = −f(x − 3)
Shifts 3 units right, reflects in x-axis.
y = 2f(x) + 3
Shifts 2 units right, 3 units up.
y = f(x + 5)
Shifts 5 units left.
Answer:
Can i have brainliest
The second one
The third one
and the last ones
Step-by-step explanation:
The x values are opposite
and the y stay the same
Answer:
y = f(x − 2) + 4
Shifts 2 units right, 4 units up.
y = −f(x − 3)
Shifts 3 units right, reflects in x-axis.
y = f(x + 5)
Shifts 5 units left
Step-by-step explanation:
Let the initial function be y = f(x)
Then,
y = f(x − 2) + 4 is obtained by translating the function 2 units towards right and 4 units up
y = -f(x - 3) is obtained by translating the graph 3 units towards right and then reflection along the x-axis
y = f(x + 2) is obtained by translating the graph 2 units towards left
What is the radius of a cone with a volume of 96(pi) cubic inches and a height of 18 inches?
what is the radius of the cone? _____inches
Answer:r= 2.26 inches
Step-by-step explanation:
Answer: r=4inches
Step-by-step explanation:
Volume of a cone= pir2h/3
Pi= 3.14
R=?
H=18
V=96pi
Substitute for the values
V=pir2h/3
96pi=pir218/3
Pi will cancel pi out
So we have
96=r218/3
Cross multiply
R2=96×3/18
R2=16
R=square root of 16
R=4inches
The radius is 4inches
bring the help!!!!!!!!!!!!!!!!!
Kelly took 15 pictures at school on Tuesday. She took 11 pictures at lunch and 4 pictures at recess. If she randomly selects a picture to put in her locker, what is the probability it is a picture she took at recess?
Answer:
4/15 = 0.266666%
Step-by-step explanation:
I need help pleeeeeeeeeeeeeease
Answer:
Tj hit 85% of the balls pitched to him
Step-by-step explanation:
Can someone actually answer this question pls its my 3rd time posting it and ill ive gotten was wrong or answers that make no sence. Pls explain your work!!!!! THANKS
Answer:
(-2+-5) equals -7.
Because the signs are the same, we dont change it.
(3+5) equals 8. Same like the other equation, the signs are the same so we do not change it.
Now we do (-7+8) The answer will be 1. Lets use a little graph since its hard to explain.
-8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8
Mark -7 anyway you want. (Circle it, draw a line under it, what ever you want.)
Now Move the line 8 times.
When you do that your line will stop at 1.
And thats how you do it.
Step-by-step explanation:
Answer:
All you have to do is Subtract the first number of both equation so 2-3= 1.
Step-by-step explanation:
The following sector has a radius of 10 inches and a central angle of 30 . Which of the following is its arc length, in inches?
Answer:
option 1
Step-by-step explanation:
step 1
Find the arc length of the complete circle
The circumference of the circle ios given by
[tex]C=2\pi r[/tex]
we have
[tex]r=10\ in[/tex]
substitute
[tex]C=2\pi (10)[/tex]
[tex]C=20\pi\ in[/tex]
step 2
Find the arc length for a sector with a cenytral angle of 30 degrees
we know that
The complete circle subtends a central angle of 360 degrees
so
using proportion
[tex]\frac{20\pi}{360^0}=\frac{x}{30^o}\\\\x=20\pi(30)/360\\\\x=\frac{5}{3} \pi\ in[/tex]
Round 8.438 to the nearest tenth.
Answer:
8.4
Step-by-step explanation:
To round to the nearest tenth, first go to the hundredth place, which in this case is a 3. If this is number is lower than 5, keep the tens place as it is, which is how it is in this problem.
Answer:
8.4
Step-by-step explanation:
The tenths is the first number to the right of the decimal. If the number to the right of the tenths digit is 5 or above you round it up, if it is less than 5 you round it down. In this case it is 3 which is less than 5 so you round it down to 8.4
You are researching different phone companies. Company one is going to charge you $10 per
line plus a $40 data charge. Company 2 does not have a data charge and will charge you $20 per
line. How many lines would result in the two companies costing the same?
Answer:
4 lines
Step-by-step explanation:
40 + 10x = 20x
40 = 10x
4=x
Question 1 (1 point)
A recent shipment of 2,500 iPhones at the local Best Buy store needed to be checked for manufacturing defects. The
manager chose 25 at random and found 4 to be defective.
How many iPhones can he expect to be defective?
b
400
7
625
250
Answer: 400
Step-by-step explanation:
25÷4=6.25
2500÷6.25=400
Based on the random sample of 25 iPhones in which 4 were found to be defective, it is projected that approximately 400 iPhones in the total shipment of 2,500 would be defective.
Explanation:The question is essentially asking for a projection based on a statistical sample. In this case, the sample is 25 iPhones, out of which 4 were found to be defective. This implies that, out of every 25 iPhones, we can expect approximately 4 to be defective.
To project this onto the entire shipment of 2,500 iPhones, we can use the proportion found in the sample. Divide the total number of iPhones by the sample size to find the number of 'samples' in the shipment: 2500 ÷ 25 = 100. Then multiply this by the number of defective iPhones found in the sample: 100 x 4 = 400.
So based on the sample, the manager can expect approximately 400 iPhones in the shipment to be defective.
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I need help like now pls :,) There are 15 people in a book club. Ten people read for an average of 65 minutes each day. The remaining people read for an average of 35 minutes each day.
What was the average reading time for the entire book club each day?
It would be nice if you could help
Answer: 825 minutes
Step-by-step explanation: We know there is a total of 15 people in the book club. We also know that 10 people each read an average of 65 minutes each day, and the remaining 5 people read for an average of 35 minutes each day.
To find the total amount f minutes read, simply multiply the amount of people by the minutes read.
10 x 65 = 650 total minutes read if 10 people each read 65 minutes for one day.
5 x 35 = 175 total minutes read if 5 people each read for 35 minutes in one day.
Now, simply add the total minutes read to find the reading time fr the entire book club each day.
650 + 175 = 825 average reading time for the entire book club each day.
A bank's loan officer rates applicants for credit. The ratings are normally distributed with a mean of 200 and a standard deviation of 50. Find Peo, the score which separates the lower 60% from the top 40%.
Round to one decimal place.
O A. 212.7
OB. 207.8
OC. 211.3
OD. 187.5
Answer:
A. 212.7
Step-by-step explanation:
To find the score that separate the lower 60% from the top 40% , we need to know the z value that satisfy:
P(Z<z) = 0.6
So, using the standard normal table, we know that the z value is equal to 0.2533
Then, the score x that is equivalent to the z value 0.25 can be calculate as:
[tex]z=\frac{x-m}{s}\\x=(z*s)+m[/tex]
Where m is the mean and s is the standard deviation. Therefore, replacing z by 0.25, m by 200 and s by 50, we get:
[tex]x=(0.2533*50)+200\\x=212.7[/tex]
In the 7th grade class, 25 students have dogs, and 1/4 of the students do not have dogs. What is the total number of students in the class who do not have dogs?
Answer:
6.25? is that even possible?
Step-by-step explanation:
If the circumference of the circle is 37.68 units, what is the area? (Use 3.14 for pi .)
Answer:
Area of the circle = [tex]113.04\;units^2[/tex]
Step-by-step explanation:
Circumference = [tex]37.68\;units[/tex]
Circumference of the circle = [tex]2\times \pi \times r[/tex]
As,
[tex]\pi =\dfrac{22}{7}=3.14[/tex]
[tex]37.68=2\times \pi \times r\\\\37.68=2\times 3.14 \times r\\\\37.68=6.28\times r\\\\r=\dfrac{37.68}{6.28} \\\\r=6\;units[/tex]
Area of a circle = [tex]\pi \times r^2[/tex]
[tex]=3.14\times (6\times 6)\\\\=3.14\times 36\\\\=113.04\;units^2[/tex]
Answer:
113.04 units²
Step-by-step explanation:
A = πr2 = π(d2)2 A = C24π π = 3.1415 A = area C = circumference or perimeter r = radius, d = diameter
Hope this helps
HELP 20POINTS WILLMARKBRAINLIEST!!
What is the volume of the composite figure shown below?
1,008mm.3
2,412mm.3
2,880mm.3
3,465mm.3
Answer:
2412
Step-by-step explanation:12*12*13=1872 15*12*3=540 1872+540=2412
LOOK AT THIS ASAP, it's EASY! GIVING YOU 15 to solve an easy math question. Just order these from the least amount of players to the greatest. PLZ HELP.
Answer:
Bulldogs
Cardinals
Tornado
Step-by-step explanation:
Cardinals: 31 injuries
Tornado: 31 injuries
Bulldogs : 17 injuries
I think I did this right and i counted them twice, but they are the same so it doesn't matter where you put them and if this is wrong then im sorry but i counted them several times. If this is right can I get a brainliest?
A playing card has an area of 50 square centimeters and a perimeter of 30 centimeters. What are the dimensions of the playing card?
The dimensions of playing card is L = 10 centimeter and W=5 centimeter, If the playing card has an area of 50 square centimeter and a perimeter of 30 centimeters.
Step-by-step explanation:
The given is,
Playing card has an area of 50 square centimeters
A perimeter of 30 centimeters
Step:1
A playing card is in the shape of rectangle,
Formula for perimeter of rectangle is,
[tex]Perimeter, P = 2(l+w)[/tex] .........................(1)
Formula for area of rectangle is,
[tex]Area, A= lw[/tex]......................................(2)
Where, l - Length of rectangle
w - Width of rectangle
Step:2
From the given values equation (1) becomes,
[tex]30 = 2(l+w)[/tex]
[tex]\frac{30}{2}=(l+w)[/tex]
[tex]15 =(l+w)[/tex]
[tex]w=15-l[/tex] .............................(3)
Width value in terms of length is calculated.
Step:2
Equation (2) becomes,
[tex]50 = (15-l)(l)[/tex]
[tex]50= 15l -l^{2}[/tex]
[tex]l^{2}-15l+50=0[/tex]
Solving the above equation,
[tex]=10[/tex]
[tex]l=10 cm[/tex]
Step:3
Equation (3) becomes,
[tex]w=15-l[/tex]
[tex]=15-10[/tex]
[tex]=5[/tex]
w = 5 cm
Result:
The dimensions of playing card is L = 10 centimeter and W = 5 centimeter, If the playing card has an area of 50 square centimeter and a perimeter of 30 centimeters.
Final answer:
By creating an equation system using the area and perimeter formulas for a rectangle, the dimensions of the playing card are found to be either 5 cm by 10 cm or 10 cm by 5 cm.
Explanation:
To determine the dimensions of a playing card given its area and perimeter, we need to set up an equation system based on the properties of a rectangle. Let's call the length L and the width W. The area (A) of a rectangle is A = L × W, which in this case is 50 sq cm. The perimeter (P) is P = 2(L + W) and is given as 30 cm.
From the perimeter, we can rearrange this to find L in terms of W:
30 cm = 2(L + W)
15 cm = L + W
L = 15 cm - W
Now, substituting L in the area equation gives us:
50 cm² = (15 cm - W) × W
This can be rearranged to form a quadratic equation:
0 = W² - 15W + 50
Factoring, we find:
0 = (W - 5)(W - 10)
So we have two solutions, W = 5 cm or W = 10 cm.
If we take W as the width, then L (the length) would be the other dimension, which would be 15 cm - W. So, we have two possible dimension pairs based on the standard card size: (5 cm by 10 cm) or (10 cm by 5 cm).
what is another way to write x 4/3
Answer:
^3(square root symbol) x^4 this is for radicals only
Step-by-step explanation:
If you are doing fractions then the correct answer would be x1 1/3
Explanation for ^3(square root symbol) x^4
When writing these in radicals simplified x^4/3 you put the denominator over your square root, and your numerator will be squared by your denominator. But your numerator must be to x as x is the constant. So ^3(square root symbol) x^4 = x^4/3
Explanation for x1 1/3
When simplifying fractions you take out the extra of the fraction and turn it into its own fraction, and the whole fraction you are left with, in this case being 3/3, you turn into a whole number, which is 1, and you add your left over fraction, 1/3, and put them together 1 1/3, but don't forget your x, x1 1/3
The expression 'x 4/3' can alternatively be written as the cube root of x to the fourth power, expressed as ∛[tex](x^4)[/tex]a mathematical context.
Explanation:The statement x 4/3 is a mathematical expression which can be interpreted in different ways based on context.
If the intention is to write the expression x to the power of 4/3, it can be expressed as a radical, specifically as the cube root of x4.
The cube root operation can be represented by the radical symbol, so the alternative way to write it would be ∛(x4).
This would not be a Unit Conversion question. It is essential to understand that without further context, the expression is ambiguous and might represent other mathematical operations or concepts.
However, it does not seem to relate directly to any of the extraneous information provided.
Given the m<8=45, find the other angle measures. Be able to say how you found each angle measure. PLEASE help!
Answer:
m<1 = 135°, m<2 = 45°, m<3 = 135°, m<4 = 45°, m<5 = 135°, m<6 = 45°, m<7 = 135°
Step-by-step explanation:
We know that a straight line always gives us a measure of 180° total. This would mean 180° = m<8 + m<7. So, if we plug in the real value of m<8, we get 180 = 45 + m<7. From there, we can subtract 180 by 45, and we get 135° = m<7.
We know that vertical angles are congruent - so m<5 is the same as m<7 - making m<5 = 135° as well. This could also apply to m<8 and m<6, so m<6= 45°.
From there, we can also say that alternate interior angles are congruent to each other - meaning m<5 = m<3, and m<6 = m<4. So, m<3 = 135° and m<4 = 45°.
Alternate exterior angles are congruent too, which means m<8 = m<2, and m<7 = m<1. So, m<2 = 45° and m<1 = 135°.
In summary,
m<7 = 135° because angle subtraction.
m<5 = 135° and m<6= 45° because vertical angles are congruent.
m<3 = 135° and m<4 = 45° because alternate interior angles are congruent.
m<1 = 135° and m<2 = 45° because alternate exterior angles are congruent!
Hope this makes sense! Not sure if I explained it well.