Answer:
(20+2) (20-2) = 20² - 2²
20² - 2² = 396
Step-by-step explanation:
from the rule of the difference of two square which states thate
(a + b)(a − b) = a² − b²
therefore, 22 can also be written as (20 + 2),
while 18 can be written as (20 -2)
therefore by the rule of the difference of two square the product of both expression will give
(20+2) (20-2) = 20² - 2² = 400 - 4 = 396
Step-by-step explanation:
= (20 + 2) × (20 - 2)
= 22 × 18
= a^2 - b^2 = 396
= (a + b) × (a - b) = 396
From the above, a = 20 and b = 2.
Therefore,
(20^2) - (2^2) = 396.
is milk souring a chemical or physical change
Answer:
I believe it would be a chemical change as there would be no way to reverse it
What is the answer to $2.48 for 10 slices of cheese
Answer:
2.48 / 10 = 0.248
About $0.25 for each slice of cheese.
Answer:
.248 or .25
Step-by-step explanation:
Which transformation(s) affect the horizontal asymptote?
Answer:
Vertical translations would affect the horizontal asymptote.
12. Judith randomly selected 20% of the
seventh-grade students in her school
and asked them their favorite genre of
music of these students surveyed 41
chose pop music as the favorite music
genre. Based on the data, what is the
most reasonable prediction of the
number of seventh-grade students in
her school who would choose pop
music as their favorite season?
i believe the answer is 205
hope this helps
The most reasonable prediction of the number of seventh-grade students in Judith's school who would choose pop music as their favorite genre is 205.
To find the prediction, we first need to determine the total number of seventh-grade students in Judith's school. Since 41 students represent 20% of the total, we can set up a proportion to find the total number of students. Let [tex]\( T \)[/tex] represent the total number of students.
[tex]\[ 20\% \times T = 41 \][/tex]
[tex]\[ 0.20 \times T = 41 \][/tex]
To find [tex]\( T \)[/tex], we divide both sides of the equation by 0.20:
[tex]\[ T = \frac{41}{0.20} \][/tex]
[tex]\[ T = 205 \][/tex]
Now that we have the total number of students, we can predict the number of students who would choose pop music as their favorite genre. Since 41 students represent 20% who chose pop music, the remaining 80% of the students would also be expected to choose pop music if the sample is representative of the entire population. Therefore, we multiply the total number of students by 100% to find the prediction:
[tex]\[ \text{Prediction} = T \times 100\% \][/tex]
[tex]\[ \text{Prediction} = 205 \times 1 \][/tex]
[tex]\[ \text{Prediction} = 205 \][/tex]
Thus, the most reasonable prediction is that 205 seventh-grade students in Judith's school would choose pop music as their favorite genre.
Evaluate the logarithm log49 7
Answer:2
Step-by-step explanation:
Log49 7=Log49/Log7=2Log7/Log7
=2
What is the simplified expression for Negative 2 a squared b + a squared minus 5 a b + 3 a b squared minus b squared + 2 (a squared b + 2 a b)? a squared minus 9 a b + 3 a b squared a squared + 9 a b minus b squared + 3 a b squared 10 a b + a squared minus b squared 3 a b squared + a squared minus b squared minus a b
Answer:
Its a
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
Just did it
The diameter is { ? }
cm.
r = 5.4 cm
The circumference in terms of pi { ? } is
cm.
Using 3.14 for pi , the approximate circumference of the
circle is { ? } cm. Find the answers for the “?”’s .
The diameter of the circle is 10.8 cm
The circumference of the circle is 33.9 cm
Explanation:
Given that the radius of the circle is 5.4 cm
Diameter:
The diameter of the circle can be determined using the formula,
[tex]d=2r[/tex]
where r = 5.4
Thus, we have,
[tex]d=2(5.4)=10.8[/tex]
Thus, the diameter of the circle is 10.8 cm
Circumference:
The circumference of the circle can be determined using the formula,
[tex]C=2\pi r[/tex]
Substituting [tex]\pi=3.14[/tex] and [tex]r=5.4[/tex], we have,
[tex]C=2(3.14)(5.4)[/tex]
[tex]C=33.9[/tex]
Thus, the circumference of the circle is 33.9 cm
The radius of a circular rug is 5 feet. How much ribbing will you need to buy to go around the
rug? Use 3.14 for pi
The length around the rug is the circumference.
The formula is C = 2 x PI x r
C = 2 x 3.14 x 5 = 31.4 feet
For this case we must find the perimeter of the circular carpet.
By definition, the perimeter of a circle is given by:
[tex]P = 2 \pi * r[/tex]
Where:
r: It is the radius of the circle
According to the statement we have:
[tex]r = 5 \ ft[/tex]
Substituting:
[tex]P = 2 * 3.14 * 5\\P = 2 * 3.14 * 5\\P = 31.4 \ ft[/tex]
So, you need[tex]31.4 \ ft[/tex]
Answer:
[tex]31.4 \ ft[/tex]
Simplify 4-6+2x-9x-8
Answer:
x = -10/7
Step-by-step explanation:
Step 1: Combine like terms
4 - 6 + 2x - 9x - 8
-7x - 10
Step 2: Solve for x
-7x - 10 = 0
-7x - 10 + 10 = 0 + 10
-7x / -7 = 10 / -7
x = 10/-7
Answer: x = -10/7
A parallelogram gas an area of 4 feet squared and a base length of 8 in. What is the height of the parellelogram
Answer:
0.5
Step-by-step explanation:
The formula for area of a parallelogram is b × h, so we can use this to find the missing value.
b × h = a
8 × h = 4
÷ 8 ÷ 8
h = 0.5
To check:
8 × 0.5 = 4, which is correct.
Your real answer is
16
10
160
got it right on edg.
Write the quadratic equation in standard form that represents the table below:
20 POINTS IF YOU HELP!
Final answer:
The quadratic equation in standard form is t² + 14.3t - 20 = 0. It can be solved using the quadratic formula.
Explanation:
The quadratic equation in standard form that represents the given table is:
t² + 14.3t - 20 = 0
Where t represents the variable and the constants are a = 1.00, b = 14.3, and c = -20.0. The solutions to this equation can be found using the quadratic formula:
t = (-b ± √(b² - 4ac)) / (2a)
8. Chicago, Illinois, has a longitude of 88°W and a latitude of 42°N.
Indianapolis, Indiana, is located at 86°W and 40°N. At this longitude/latitude,
each degree is about 53 miles. Find the distance between Chicago and
Indianapolis.
Chicago, IL
Indianapolis, IN
Lesson 7 Distance on the Coordinate Plane
435
Answer: 150 miles
Step-by-step explanation:
The distance between Chicago and Indianapolis is approximately 150 miles.
To find the distance between Chicago and Indianapolis using their latitude and longitude coordinates, we can apply the Pythagorean theorem. The distance between two points on the Earth's surface can be approximated by considering the Earth as a flat plane, which is reasonable for relatively short distances like the one between these two cities.
The difference in latitude (north-south distance) between Chicago and Indianapolis is:
[tex]\[ 42N - 40N = 2N \][/tex]
The difference in longitude (east-west distance) between the two cities is [tex]\[ 86W - 88W = 2W \][/tex]
Since each degree is approximately 53 miles, we can calculate the north-south distance and the east-west distance:
North-south distance in miles:
[tex]\[ 2N \times 53 \text{ miles/degree} = 106 \text{ miles} \][/tex]
East-west distance in miles:
[tex]\[ 2W \times 53 \text{ miles/degree} = 106 \text{ miles} \][/tex]
Now, we can use the Pythagorean theorem to find the straight-line distance (the hypotenuse of the right triangle formed by the north-south and east-west distances):
Let [tex]\( d \)[/tex] be the distance between the two cities, then:
[tex]\[ d^2 = (106 \text{ miles})^2 + (106 \text{ miles})^2 \] \\[/tex]
[tex]\[ d^2 = 11236 \text{ miles}^2 + 11236 \text{ miles}^2 \] \\[/tex]
[tex]\[ d^2 = 22472 \text{ miles}^2 \] \\[/tex]
[tex]\[ d = \sqrt{22472 \text{ miles}^2} \] \\[/tex]
[tex]\[ d \approx 150 \text{ miles} \][/tex]
what is 2+4 in the world today
Answer:
i guess it is 6? maybe
Step-by-step explanation:
Answer: I WOULD SAY 24 BUT FOR SOME REASON IT IS 6
Step-by-step explanation:
Given that two figures are similar, use a scale factor to find the missing length
The missing length x is 99 m.
Solution:
Given polygons are similar.
If two triangles are similar, then the corresponding sides are in proportion.
[tex]$\Rightarrow\frac{81}{18}=\frac{x}{22}[/tex]
Multiply by 22 on both sides, we get
[tex]$\Rightarrow\frac{81}{18}\times 22=\frac{x}{22}\times 22[/tex]
[tex]$\Rightarrow\frac{9}{2}\times 22=x[/tex]
⇒ 9 × 11 = x
⇒ 99 = x
Switch the sides.
⇒ x = 99
The missing length x is 99 m.
Is {(-5,1),(4,9),(6,10)} a function
Complete the table. Original Price Percent of Discount Sale Price $42 15% $
Answer:
35.70
Step-by-step explanation:
42. x 15%=6.30
42-6.30 is 35.70
or you can multiply 42 x 85=35.70
Answer:
$35.70
Step-by-step explanation:
$35.70
GIven the equation LaTeX: y=\frac{2}{3}x-1y = 2 /3 x − 1, determine the slope of the line.
Answer:
The slope of the equation is: [tex]m=\frac{2}{3}x[/tex]
Step-by-step explanation:
Given the equation
[tex]y=\frac{2}{3}x-1[/tex]
As the equation in slope intercept form
[tex]\:y=mx+b[/tex]
Here:
m = slopeb = y - interceptComparing the equation in slope intercept form
[tex]y=\frac{2}{3}x-1[/tex]
so
[tex]m=\frac{2}{3}x[/tex]
Therefore, the slope of the equation is: [tex]m=\frac{2}{3}x[/tex]
50 points and brainleist
A value of 500 increases by 12%. -Which equation could be used to find the new value? A) y=500+(0.12)
B) y=500(1.12)
C) y=500+(0.12)
D) y=500-(0.12) - What is the new value? Answer:Equation_______could be used to find the new value. The new value is______.
Solution:
Given that,
A value of 500 increases by 12%
To find: equation could be used to find the new value
Therefore,
Initial value = 500
Increase rate = 12 %
Let "y" be the new value
Thus the equation is:
new value = Initial value + 12 % of Initial value
[tex]y = 500 + 12 \% \text{ of } 500\\\\y = 500 + 12 \% \times 500\\\\y = 500(1 + 12 \%)\\\\y = 500(1 + \frac{12}{100})\\\\y = 500( 1 + 0.12)\\\\y = 500(1.12)[/tex]
Thus the equation is found. Option B is correct
Solve it
[tex]y = 500 \times 1.12\\\\y = 560[/tex]
Thus the new value is 560
Answer:
Hat he said
Step-by-step explanation:
An equiangular triangle can be scalene
Answer:
No, as a scalene triangle's sides are are different, while an equilateral's sides are all the same.
Hope that helps, :)
Find the values of x and y
Answer:
x = 12; y = 60
Step-by-step explanation:
The opposite sides of a parallelogram are always equal, so x+3 = 15, making x = 12
The opposite angles of a parallelogram are always equal, making y = 60
Solve fro X -3x + 4 = -8
Answer:
X = 4
Step-by-step explanation:
Solve for x.
-3x + 4 = -8
Make sure to subtract both sides.
-3x (+4 -4) = -8 - 4
-3x= -12
Divide by -3 on both sides.
-3x/-3 = -12/-3
x = 4Answer:
4
Step-by-step explanation:
-3x + 4 = -8
Subtract 4 from both sides
-3x + 4 - 4 = -8 - 4
-3x = -12
Divide both sides by by -3
x = -12/-3
x = 4
Help pleaseeeeee. I’m confused. I’ll thank u
Answer: See Below
Step-by-step explanation:
(b) Make a table of white ovals and black ovals. You will notice that
white starts with 3 and adds 3 to each design → 3 + 3(d - 1) = 3d
black starts with 4 and adds 4 to each design → 4 + 4(d - 1) = 4d
[tex]\begin{array}{c|c|c}\underline{\text{Design \#}}&\underline{\text{white ovals}}&\underline{\text{black ovals}}\\1&3&4\\2&6&8\\3&9&12\\4&3(4)=12&4(4)=16\\5&3(5)=15&4(5)=20\\6&3(6)=18&4(6)=24\\\cdot&\cdot&\cdot\\\cdot&\cdot&\cdot\\\cdot&\cdot&\cdot\\n&3n&4n\end{array}[/tex]
white ovals when design = 30 ---> 3d = 3(30) = 90
black ovals when design = 100 ---> 4d = 4(100) = 400
white ovals when design = 50 ---> 3d = 3(50) = 150
black ovals when design = 50 ---> 4d = 4(50) = 200
TOTAL = 350
**********************************************************************************
(c) Make a table of rods and squares. You will notice that
rods start with 19 and add 12 to each design → 19 + 12(d - 1) = 12d - 7
squares start with 6 and add 4 to each design → 6 + 4(d - 1) = 4d + 2
[tex]\begin{array}{c|c|c}\underline{\text{Design \#}}&\underline{\qquad \text{rods}\qquad }&\underline{\qquad \text{squares}\qquad }\\1&19&6\\2&31&10\\3&43&14\\4&12(4)-7=55&4(4)+2=18\\5&12(5)-7=67&4(5)+2=22\\6&12(6)-7=79&4(6)+2=26\\\cdot&\cdot&\cdot\\\cdot&\cdot&\cdot\\\cdot&\cdot&\cdot\\n&12n-7&4n+2\end{array}[/tex]
rods when design = 15 ---> 12d - 7 = 12(15) - 7 = 173
squares when design = 15 ---> 4d + 2 = 4(15) + 2 = 62
Round 562 to the nearest ten
Answer:
560
Step-by-step explanation:
Answer: 560
Since it did not hit 565 it is 560.
The points (–1,–1) and (a,–5) fall on a line with a slope of 4. What is the value of a?
a=
Answer:
The value of a is -2
Step-by-step explanation:
We are asked to give the value of a
We are provided with some information
We are given slope to be 4
And two points ( -1 ,-1) and
( a, -5)
Given the formula for slope
m = y_2 - y_1 / x_2 - x_1
Points ( -1 , -1)
(a, -5)
x_1 = -1
y_1 = -1
x_2 = a
y_2 = -5
Inserting the values given into
m = y_2 - y_1 / x_2 - x_1
= -5 - (-1) / a - (-1)
= -5 + 1 / a + 1
= -4 / a + 1
We are given the slope to be 4
i. e. m = 4
4 = -4 / a + 1
Cross multiply
4( a + 1) = -4
Open the bracket with 4
4a + 4 = -4
Collect like terms
4a = -4 - 4
4a = - 8
Divide both sides by 4 to get the value of a
4a / 4 = -8/4
a = -2
Therefore, x_2 = -2
the value of a = -2
Which of the following tables represents a function?
Answer:
Table D represents the function.
Step-by-step explanation:
Because for every value of x, there is an unique value of y.
Answer:
D
Step-by-step explanation:
the answer is d because the x doesn't repeat itself and for a -7 repeats it self, for b -8 repeats and for c -6 has 2 times. That's why those 3 can not be answer.
Tony needs to ship 12 comedy DVDs, 24 animated DVDs, and 30 musical DVDs. He can pack only one type of DVD in each box and he must pack the same number of DVDs in each box. What is the greatest number of DVDs Tony can pack in each box?
please explain how you found your answer
The greatest number of DVDs that Tony can pack in each box is 6, which is the greatest common divisor of 12, 24, and 30.
To find the greatest number of DVDs that Tony can pack in each box, we need to determine the greatest common divisor (GCD) of the quantities of each type of DVD. The GCD is the largest number that can evenly divide all the given numbers without leaving a remainder. The numbers of DVDs are 12 (comedy), 24 (animated), and 30 (musical).
Here are the steps to find the GCD:
List the factors of each number:Factors of 12: 1, 2, 3, 4, 6, 12Factors of 24: 1, 2, 3, 4, 6, 8, 12, 24Factors of 30: 1, 2, 3, 5, 6, 10, 15, 30Identify the common factors: 1, 2, 3, 6Find the largest common factor: 6Thus, the greatest number of DVDs Tony can pack in each box is 6.
Willie had some candy to give to his five
children. He first took nine pieces for
himself and then evenly divided the rest
among his children. Each child received
three pieces. With how many pieces did
he start?
Answer he had 24 pieces
Step-by-step explanation: 5 children had 3 each 5 x 3 = 15
and 9 for him self 15+9=24
If the sales tax is six 3/4% what is the total cost of a $76.01 item
the total cost of a $76.01 item is $81.14 .
Step-by-step explanation:
Here we have , sales tax is six 3/4% . We need to find that what is the total cost of a $76.01 item .Let's find out:
Sales tax is actually the extra money we need to give apart from actual cost of item which is given to government or concerned authority .
Tax is 6(3/4)% of cost price i.e.
[tex]Tax = \frac{cost-price(6\frac{3}{4})}{100}[/tex]
⇒ [tex]Tax = \frac{cost-price(6\frac{3}{4})}{100}[/tex]
⇒ [tex]Tax = \frac{(76.01)(6.75)}{100}[/tex]
⇒ [tex]Tax = \frac{513.06}{100}[/tex]
⇒ [tex]Tax = 5.13[/tex]
So, total cost = $76.01 + $5.13
total cost = $81.14
Therefore, the total cost of a $76.01 item is $81.14 .
Type the correct answer in the box. Use a decimal number instead of words.
Find the sum of a finite geometric series.
A ball is dropped from a height of 10 meters. Each time it bounces, it reaches 50 percent of its previous height. The total vertical distance down the ball has traveled when it hits the ground the fifth time is meters.
Angle a and angle b are complementary angles. The measure of ∠a is 42°.
Which equation represents this situation with x representing the measure of ∠b ?
A) 90+42=x
B) 42+x=90
C) 42−x=90
D) 90+x=42
Answer: B) 42 + x = 90
Step-by-step explanation:
A complementary angle always equals 90 degrees. So, with that information, all you have to do is list the measurement of b as x and create an equation. Knowing that the measurement of angle a is 42 degrees, we can now find an equation. So, we would take the measurement of angle a, 42 degrees, and add the measurement of angle b, listed as x, which should equal 90 degrees.