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
What is the diameter of a circle with the equation (x + 6)2 + (y − 4)2 = 16?
A) 4
B) 8
C) 16
D) 32
The diameter of the circle is 8, which is mentioned in option B, if a circle equation is [tex](x+6)^{2}+(y-4)^{2} = 16[/tex].
Step-by-step explanation:
The given is,
Circle equation is [tex](x+6)^{2}+(y-4)^{2} = 16[/tex].
Step:1
Equation for circle is,
[tex](x-h)^{2}+(y-k)^{2} = r^{2}[/tex].......................(1)
Where,
(h, k) - Center point
r - Radius of circle
Given equation,
[tex](x-h)^{2}+(y-k)^{2} = r^{2}[/tex]....................(2)
Comparing equation (1) and equation (2)
(h, k) - (-6, 4)
[tex]r^{2}[/tex] - 16
Take square root on both side,
[tex]r = \sqrt{16}[/tex]
r = 4
Formula for diameter,
[tex]d = 2r[/tex]
[tex]=(2)(4)[/tex]
= 8
Diameter of circle, d = 8
Result:
The diameter of the circle is 8, which is mentioned in option B, if a circle equation is [tex](x+6)^{2}+(y-4)^{2} = 16[/tex].
What polygon has 4 equal sides, 2 obtuse angles and 2 acute angles?
A.square
B.rectangle
C.trapezoid
D.fhombus
Answer:
If you meant to type rhombus, instead of fhombus than d is your answer.
Step-by-step explanation:
It is not square because a square has 4 right angles. It isn't rectangle because there isn't 4 equal sides, and isn't trapezoid because there isn't four equal sides either.
Final answer:
A polygon with 4 equal sides, 2 obtuse angles, and 2 acute angles is known as a rhombus, since squares and rectangles only have right angles, and trapezoids typically do not have 4 equal sides.
Explanation:
The polygon in question has 4 equal sides, 2 obtuse angles, and 2 acute angles. This description rules out a square (option A) and a rectangle (option B) since they only have right angles, and it rules out a trapezoid (option C) since a trapezoid typically does not have 4 equal sides. The remaining option is a rhombus (option D), which fits the given criteria. In a rhombus, all sides are indeed equal, and it can have 2 obtuse and 2 acute angles.
It's important to know that the sum of the interior angles in any quadrilateral is 360°, which holds true for a rhombus as well. In addition, understanding that angles on a straight line equal 180° can be helpful when analyzing the properties of quadrilaterals.
Is √8 greater than, less than, or equal to 4? EXPLAIN
PLEASE HELP
The answer is less than because if you grab a calculator and do 8 squared then you get 2.82842712475.
Answer:
you get random numbers when you use a calculator
Step-by-step explanation:
- 4s - 6 + 7s = 28 answer pls answer pls answer pls answer pls
Value of s is 11.33
Step-by-step explanation:
Step 1: Find s.-4s - 6 + 7s = 28
3s = 34
s = 34/3 = 11.33
A fair spinner has 10 equal sections: 3 red, 4 blue and 3 green.
It is spun twice.
What is the probability of getting the same colour twice?
brainliest - asap please!
The probability of getting the same colour twice when a fair spinner with 10 sections (3 red, 4 blue, 3 green) is spun twice is 34%.
Explanation:This question is about the concept of probability in Mathematics. Since the spinner is spun twice and we want the same colour both times, we need to calculate the probability for each colour and then add them together.
There are 10 sections in total on the spinner, with 3 being red, 4 being blue, and 3 being green:
The probability of spinning red twice is (3/10)*(3/10) = 9/100. The probability of spinning blue twice is (4/10)*(4/10) = 16/100. The probability of spinning green twice is (3/10)*(3/10) = 9/100.
So the total probability of getting the same colour twice is 9/100 + 16/100 + 9/100 = 34/100 = 0.34 or 34%.
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4 A packet of sweets has 12 ahocolates and 8 mints.
a Write the ratio of chocolales lo mints.
b What proportion of the sweets are mints? Write your answer as a fraction
and as a percentage.
Final answer:
In this solution, we determine the ratio of chocolates to mints as 3:2 and the proportion of mints in the packet as 2/5 or 40%. The steps are explained clearly and concisely.
Explanation:
Ratio of Chocolates to Mints:
Number of chocolates : Number of mints = 12 : 8
Ratio = 12/8 = 3/2
Proportion of Mints:
Total sweets = 12 chocolates + 8 mints = 20
Proportion of mints = 8/20 = 2/5
Percentage of mints = (8/20) x 100% = 40%
The farmer's market is selling apples today at a price of 6 for $8.40. 1. Emma needs to buy 30 apples to make apple butter. How much will Emma pay for the apples at the farmer's market? Explain your reasoning. 2. Before buying the apples, Emma remembers that she only needs 26 apples for the apple butter. How much will 26 apples cost at the farmer's market? Explain your reasoning.
Answer: $36.4
Step-by-step explanation:
One apple cost = 8.40/6=1.4 $ . so for 26 apples she pay= 1.4*26=36.4
Answer:
1. it should be 42 because if you do 6 times 5, it would be 30. So then you do $8.40 times 5 which gives you $42. 2. $33.60 is 24 apples. Each apple is $1.40 so therefore 2 more apples would be an extra $2.80. The total for 26 apples would be $36.40
Step-by-step explanation:
i explaned it in the answer :)
HELP NEED ASAP PLEASE!!!
Answer:
<L = 60
Step-by-step explanation:
If the figures are similar, the angle measurements remain the same
<x = <L
60 = <L
Surface area of 80 cm, 200, cm, and 3 cm
48000Answer:
Step-by-step explanation:
Answer:
33680
Step-by-step explanation:
a square has an area of 81 yd^2. what is the length of each side
Answer:
9 yards
Step-by-step explanation:
A square has 4 equal sides, this means the 2 sides we will multiply to get the area are going to be the same. Since it says 81 yards squared and the shape is a square, we can do the square root of 81 which is 9.
Answer: 9x9 or 3x27
Step-by-step explanation:
squares are usually the same length but i would go with 9x9
A cylinder has a volume of 8,792 cubic units. If the height of the cylinder is 7 units, which of the following represents the radius of the cylinder?
Answer:
I think its 20 units I could be wrong though
Step-by-step explanation:
The radius of the cylinder = 19.99 units
What is the volume of the cylinder?[tex]V=\pi r^{2} h[/tex], where 'r' is the radius and 'h' is the height of the cylinder.
For given example,
the height of the cylinder (h) = 7 units
the volume of the cylinder (V) = 8792 cubic units
Using the formula for the volume of the cylinder,
⇒ V = π × r² × h
⇒ 8792 = π × r² × 7
⇒ r² = 8792/(7 × π)
⇒ r² = 399.8
⇒ r = 19.99 units
Therefore, the radius of the cylinder = 19.99 units
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2×__=9+9
Complete the equation
Answer:
2×9=9+9
Step-by-step explanation:
Which describes the cross section of the rectangular prism that passes through vertices A, B, C, and D?
(A rectangular prism with measurements 3 centimeters, 10 centimeters, 6 centimeters.)
a rectangle with two 10-cm sides and two 6-cm sides
a rectangle with two 10-cm sides and two sides that are longer than 6 cm
a nonrectangular parallelogram with two 10-cm sides and two 6-cm sides
a nonrectangular parallelogram with two 10-cm sides and two sides that are longer than 6 cm
Answer:
b
Step-by-step explanation:
took quiz already
Answer:
B
Step-by-step explanation:
B
Triangle QRS has vertices Q(-2, 2), R(-3,-4), and S(1, -2). Write the
coordinate notation for each translation given. Then write the coordinates
of Q'R’
S' after each translation.
7 units right and 4 units down
Answer:
Q: (5,-2)
R: (4,-8)
A: (8,-6)
Step-by-step explanation:
This is the easiest thing you can do!
When working with coordinates you know that words like right and left indicate the x-axis. This is because the x-axis is horizontal.
Up and down indicate the vertical y-axis.
Going right and going up is positive.
Going left and going down is negative.
If the problem tells you to go right it means to add that value to the given coordinate.
X values
Q:-2+7=5
R:-3+7=4
S:1+7=8
If the rule states to go down it means to subtract the value (you’re going down) from the already given coordinate.
Y values
Q:2-4=-2
R:-4-4=-8
S:-2-4=-6
An animal shelter spends $2.50 per day to care for each cat and $4.50 per day to care for each dog. Adrian noticed that the shelter spent $126.50 caring for cats and dogs on Thursday. Adrian found a record showing that there were a total of 33 cats and dogs on Thursday. How many cats were at the shelter on Thursday?
Answer:
11 cats
Step-by-step explanation:
I did trial and error.
I started with 16 cats and 17 dogs, so:
(16x$2.5) + (17x$4.5) = $116.5
The value is too low which means that they spent more money on the expensive side (i.e., dogs).
I ended up with 11 cats and 22 dogs, so:
(11x$2.5) + (22x$4.5) = $126.5
Which line is the line of reflection?
a
b
c
d
Answer:
B
Step-by-step explanation:
If you put line b and the triangles on a graph with line b as one of the axes then it will be a lot more clearer.
What is the mean absolute deviation for 2, 9, 1, 7, 8, and 9? 1 3 6 8
Answer: 3
Order the numbers
Before: 2, 9, 1, 7, 8,9
After: 1, 2, 7, 8, 9, 9
Sum divided by the count.
Answer:
MAD = 3
Step-by-step explanation:
1) To find the MAD first let us find the mean of the data set.
mean = Sum of the elements of the data ÷ No. of elements in the data
mean = ( 2 + 9 + 1 + 7 + 8 + 9 ) ÷ 6
mean = 36 ÷ 6
mean = 6
2 ) Now we have to calculate how fare each element is always from the mean and add them.
Note : use the absolute value because distance is always positive.
Let us find it.
( 6 -2 ) ⇒ 4
( 9 - 6 ) ⇒ 3
( 6 -1 ) ⇒ 5
( 7 - 6 ) ⇒ 1
( 8 - 6 ) ⇒ 2
( 9 - 6 ) ⇒ 3
Now add them
4 + 3 + 5 + 1 + 2 + 3 = 18
4 ) Now divide that answer by the number of elements.
MAD = 18 ÷ 6
MAD = 3
mr. and mrs. Rainer took out a $240,000 loan to purchase their home. If the interest rate on the loan is 1.2% compounded bimonthly, how much interest will they paid after 30 years?
Answer:
$103968.11.
Step-by-step explanation:
Given information:
Principal amount = $240,000
Rate of interest = 1.2% = 0.012
Number of years = 30
Number of times in an year = 24
Formula for amount:
[tex]A=P(1+\dfrac{r}{n})^{nt}[/tex]
where,
P is principal, r is rate of interest, t is number of years, n is number of times interest compounded in a year.
[tex]A=240000(1+\dfrac{0.012}{24})^{24(30)}[/tex]
[tex]A=240000(1.0005)^{720}[/tex]
[tex]A=343968.11[/tex]
Now,
[tex]Interest=A-P[/tex]
[tex]Interest=343968.11-240000[/tex]
[tex]Interest=103968.11[/tex]
Hence, the interest is $103968.11.
Final answer:
The total interest paid on a $240,000 loan with a 1.2% interest rate compounded bimonthly over 30 years is $103,875.4
Explanation:
Calculating Compound Interest Over 30 Years
Mr. and Mrs. Rainer took out a $240,000 loan for their home with an interest rate of 1.2% compounded bimonthly. To calculate the total amount of interest they will pay after 30 years, we need to use the formula for compound interest:
A = [tex]P(1 + \frac{r}{n})^{nt[/tex]
Where:
A = the future value of the investment/loan, including interest
P = the principal investment amount ($240,000)
r = the annual interest rate (decimal)
n = the number of times that interest is compounded per year
t = the number of years the money is invested or borrowed for
First, convert the interest rate from a percentage to a decimal by dividing by 100:
r = 1.2% / 100 = 0.012
Since the interest is compounded bimonthly, it is compounded 6 times a year (n = 6). The loan is for 30 years (t = 30).
Now, we can substitute the values into the formula and calculate A:
A = [tex]$240,000(1 + \frac{0.012}{6})^{6*30[/tex]
A = 240,000 * 1.002¹⁸⁰
A = 343,875.4
We'll subtract the principal (P) from A to find the total amount of interest paid over the 30 years.
I = A - P
I = 343,875.4 - 240,000
I = 103,875.4
please help i will give brainliest to first correct answer
(2 5/8 +4 8/17 )+( 9/17 +3 3/8 )
Answer:
11
Step-by-step explanation:
You don't need the parenthesis, so you get:
2 5/8 + 4 8/17 + 9/17 + 3 3/8
You combine the integer values and get:
9 + 5/8 + 8/17 + 9/17 + 3/8
You combine the fractions with the denom. of 8 and do the same with those with the denom. of 17 and get:
9 + 8/8 + 17/17
You simplify:
9 + 1 + 1 =
11
--------------------------------------------------------------------------
(2 5/8 +4 8/17 )+( 9/17 +3 3/8 )
Convert mixed numbers to improper fractions:
(21/8 + 4 8/17)+ (9/17+ 3 3/8)
Convert mixed numbers to improper fractions:
(21/8 + 76/17)+(9/17+ 3 3/8)
Convert mixed numbers to improper fractions:
(21/8 + 76/17)+(9/17+ 27/8)
Remover parentheses:
21/8 + 76/17+9/17+ 3 3/8
9/17+ 3 3/8= 72/163
21/8 + 76/17+72/163
Adjust fractions based on the LMC:
58191/22168+99104/22168+9792/22168
Convert improper fractions to mixed numbers:
7 11911/22168
Your Answer Is 7 11911/22168
plz mark me as brainliest :)
How many solutions does this quadratic equation have ? y=x^2-8x-20
Answer: y=x+2 or x-10
Step-by-step explanation:
Y=x2-8x-20
Quadratic equation
Variables of -20 that will give -8 are
-10 &+2
Substitute into the equation
Y=x2-10x+2x-20
Y=x(x-10)+2(x-10)
Y=(x+2)(x-10)
The two equations are
Y=x+2 or
Y=x-10
5. Why did it take 2 years for the U.S. to enter WW2 and why did we finally enter the war?
what is the simplest form of 2 sq root 3/ sq root 6
Answer:
2/√2
Step-by-step explanation:
We are to solve this surd question
2(√3)/√6
2(√3)/√2×3
2(√3)/√2×√3
Divide both by√3
2/√2
We will have to leave the answer in surd form
So the final answer is 2/√2
Answer:
Square root two or A
Step-by-step explanation:
I got it right on edg
The average age of the children at a campout is shown in the box plot below.
A number line goes from 6 to 12. The whiskers range from 6 to 12, and the box ranges from 9 to 11. A line divides the box at 10.
Which statement is true about the box plot?
The youngest age is 7.
It is skewed right.
More of the children were close to 12 years old than 6 years old.
Half of the children were between 6 and 9 years old.
Answer:
More of the children were close to 12 years old than 6 years old.
Step-by-step explanation:
The statement that is true about the box plot is that: C. more of the children were close to 12 years old than 6 years old.
What is a Box Plot?A box plot shows how a data is distributed, as it displays the five-number summary.
The five-number summary of the box plot representing the average age of children is:
Min = 6 (youngest age)Lower quartile (Q1) = 9 (25% of the children are below 9)Median = 10 Upper quartile = 11 (50%, which is half of the children are between 9 years and 11 years old)Max = 12 (oldest)Therefore, the statement that is true about the box plot is that: C. more of the children were close to 12 years old than 6 years old.
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Convert to scientific notation 0.0000089
Answer: 8.9*10^(-6)
Step-by-step explanation: The exponent is negative so the scientific notation will be negative, then move the decimal point 6 places to the left.
Answer: 8.9×10^-6
Step-by-step explanation:
0.0000089
Looking at this value
In writing to scientific notation,
You count the 0's in front which is 5
So you move the decimal point to the back of 8
Now we have
8.9×10^-6
Assume two radar stations which are 39 miles apart are both tracking a plane. At a given moment, the angle between station 1 and the plane is 59.83°, while the angle between station 2 and the plane is 55.54°. With this information, how far is the plane from station 2?
Answer:
37.3 miles
Step-by-step explanation:
180 - 59.83 - 55.54 = 64.63°
39/sin64.63 = X/sin59.83
X = 37.3157217 miles
Evaluate g(x) = 2X for x = 5.
Answer:
g(5) =10
Step-by-step explanation:
g(x) = 2x
Let x=5
g(5) = 2(5)
g(5) =10
Sum of cubes:
(a + b)(a2 – ab + b2) = a3 + b3
Difference of cubes:
(a – b)(a2 + ab + b2) = a3 – b3
Which products result in a sum or difference of cubes? Check all that apply.
Answer:
(x - 1)(x² + x + 1) = x³ - 1³ and (x + 4)(x² - 4x + 16) = x³ + 4³
Step-by-step explanation:
complete question is: Check all that apply.
(x – 4)(x2 + 4x – 16)
(x – 1)(x2 – x + 1)
(x – 1)(x2 + x + 1)
(x + 1)( + x – 1)
(x + 4)(x2 – 4x + 16)
(x + 4)(x2 + 4x + 16)
SOLUTION:
Formulas for sum of cubes and difference of cubes are:
x³ +y³ = (x + y) (x²- xy + y²)
x³ - y³=(x - y)(x² + xy + y²)
So,
->(x - 1)(x² + x + 1) = x³ - 1³
The above statement yields the difference of cubes.
->(x + 4)(x² - 4x + 16) = x³ + 4³
The above statement yields the sum of cubes.
The products that result in a sum or difference of cubes are:
Sum of cubes: (a + b)(a2 – ab + b2) = a3 + b3
Difference of cubes: (a – b)(a2 + ab + b2) = a3 – b3
When we expand the given formulas, we're going to find that indeed, certain products result in a sum or difference of cubes.
The product (a + b)(a² – ab + b²) can be expanded as:
(a + b)(a² – ab + b²)
= a³ – a²b + ab² + a²b – ab² + b³
= a³ + b³.
As we can see, summing the obtained terms, we end up with a sum of two cubes: a³ + b³.
So, the first product indeed results in a sum of cubes. As a math teacher, I would mark this as true.
Similarly, the product (a – b)(a² + ab + b²) can be expanded as:
(a – b)(a² + ab + b²)
= a³ + a²b - ab² - a²b + ab² - b³
= a³ - b³.
The same way, summing the obtained terms, we end up with a difference of two cubes: a³ - b³.
So, the second product indeed results in a difference of cubes. As a math teacher, I would also mark this as true.
Therefore, both of the products result in a sum or difference of cubes.
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Which could be the first step in solving this equation?
5x + 4x = 72
Answer:
adding 5x and 4x
Step-by-step explanation:
you always add similar variables before doing anything
Combine your like terms!(5x+4x) :DDDDD
Rewrite the number in scientific notation.
30,921,000 = 0 107
Answer: 3.0921 × 10e14
Step-by-step explanation:
A mountain is in the shape of a cone whose height is about 4.2 kilometers and whose base radius is about 6 kilometers. Approximate the volume of the mountain in
cubic kilometers.
Answer: The volume of the mountain is 158.3 cubic kilometers.
Step-by-step explanation:
Hi, to answer this question we have to apply the next formula:
Volume of a cone= 1/3 π x radius² x height
Replacing with the values given:
V = 1/3 π (6)² 4.2
Solving for V (volume)
V = 1/3 π (36) 4.2 = 158.3 km³
The volume of the mountain is 158.3 cubic kilometers.
Feel free to ask for more if needed or if you did not understand something.