Answer:
a = 4, b = - [tex]\frac{3}{2}[/tex]
Step-by-step explanation:
Given
[tex]\frac{8-3\sqrt{2} }{2}[/tex] = a + b[tex]\sqrt{2}[/tex] ( multiply both sides by 2 to clear the fraction )
8 - 3[tex]\sqrt{2}[/tex] = 2a + 2b[tex]\sqrt{2}[/tex]
For the 2 sides to be equal , then
2a = 8 ( divide both sides by 2 )
a = 4
and
2b = - 3 ( divide both sides by - 2 )
b = - [tex]\frac{3}{2}[/tex]
please help I will give brainliest
-5x+4y=7 y=-2x-8
x = 13, y = 18
hope this is right
Answer:
x=−3 and y=−2
Step-by-step explanation:
-5x+4(-2x-8)=7
-13x-32=7
-13x-32+32=7+32
-13x=39
divide both sides by -13
x=-3
substitute x for -3
-2(-3)-8= -2
y= -2
Evaluate the expression for j = 0.
5j2 =
the 2 is (2 the second power)
Answer:
0
Step-by-step explanation:
anything times 0 equals 0
please help. will give brainliest (100 points)
Assuming the point A has coordinates (2,3) and the center of dilation is the origin.
Then the image of point A under a dilation of scale factor of 4 is (4∗2,4∗3)=(8,12)(4*2,4*3)=(8,12)(4∗2,4∗3)=(8,12)
Hence A(2,3)→A′(8,12)A(2,3)\to A'(8,12)A(2,3)→A
′
(8,12)
In general the rule for a dilation of scale factor of k is (x,y)→(kx,ky)(x,y)\to(kx,ky)(x,y)→(kx,ky)
please mark me as brainliest
If £2000 is placed into a ban account that pays 3% compound interest per year how much will be in the account after 2 years
Answer:£2121.8
Step-by-step explanation:
Given
Principal money [tex]P=[/tex]£2000
rate of interest is [tex]R=3\%[/tex]
time period [tex]T=2\ yr[/tex]
The amount by compound interest is given by
[tex]A=P[1+\frac{R}{100}]^T[/tex]
Putting values
[tex]\Rightarrow A=2000[1+0.03]^2\\\Rightarrow A=2121.8[/tex]
So, after two years it will be £2121.8
1 / 5 ( x − 5 ) = 7
solve for x
Answer:
x = 40
Step-by-step explanation:
1/5 ( x − 5 ) = 7
1/5x - 1 = 7
1/5x = 7 + 1
1/5x = 8
x = 8 * 5
x = 40
Y=1/5x+14 when b=7? how do i solve this?
Answer:
Step-by-step explanation:
Y = 1/5 x + 14 where b = 7
Result:
x + 70 = 5 Y
Geometric figure:
line
Alternate forms:
x = 5 Y - 70
x - 5 Y + 70 = 0
Real solution:
Y = x/5 + 14
Solution:
Y = x/5 + 14
Integer solution:
x = 5 n, Y = n + 14, n element Z
Solution for the variable x:
Mason works h hours each day during the 5-day workweek. He also works 5 hours on the weekend. Write an algebraic expression for the number of hours Mason works each week.
Answer:
7x +5
Step-by-step explanation:
Mason works h hours each day during the 5-day workweek. He also works 5 hours on the weekend. Write an algebraic expression for the number of hours Mason works each week.
"h hours each day in the week"
There are 7 days, so 7 × x.
"5 hours on the weekend"
5
So, this can be written as 7x + 5.
Hope I helped, have a nice day!
-Aadi x
What is the value of log2 32?
Answer:
answer would be 5
Step-by-step explanation:
Logarithm base 2 of 32 is 5.
A group of Metropolis Middle School students volunteered to build a new city playground. A local pizzeria donated 20 large pizzas for their lunch. The volunteers shared the pizza equally.
Complete the following table to show how the amount of pizza for each
volunteer depends on the number of volunteers.
Number of Volunteers
1
2
5
10
20
40
Number of Pizzas per Volunteer
20
10
?
?
?
?
Answer:
so so sorry if this anwser is wrong hope this helps
Step-by-step explanation:
number of vounteers number of pzzia per volunteer
1 20
2 10
5 0
10 -10
20 -20
40 -40
What is the area of a square if its side length is 1 173 cm?
Answer:
The number 173 or 1,173?
1,173 x 1,173 = 1,375,929
Since all sides are equal in a square, one given length would be all the side lengths since all sides are equal in a square.
If the side length was 173 then:
173 x 173 = 29,929
I will give you BRAINLIEST for the correct answer
Answer:
d
Step-by-step explanation:
can someone help with this question.
Answer:
Emily Ben Cath
Adam Darren Empty
B
с
20
NOT TO
SCALE
D
76
ko
A
The diagram shows a pentagon ABCDE.
BC is parallel to AE and angle CDE is a right angle.
Find the values of r and y.
Step-by-step explanation:
[tex]find \: y \\ 180 - 90 = 90 \\ 90 \div 2 = 45 \\ y = 45 + 90 = 135[/tex]
[tex]find \: x \\ 360 - 2(90) - 76 = \\ = 360 - 180 - 76 = \\ = 180 - 76 = \\ = 104[/tex]
Deborah surveyed customers in a restaurant to find out their favorite meal. The results of the survey are shown in the able ? One person in the restaurant will be picked at random. Based on the given in information, which statement is true ?
Answer:
I got you homie! B-)
This person’s favorite meal is twice as likely to be hamburger and French fries as it is to be spaghetti.
Step-by-step explanation:
The other person answered with something unhelpful at all
brainliest to correct answer
Perform the indicated operation and simplify. (x+3)(x2−5x+2) Write your answer in standard form. No spaces when entering your answers. For this question, you will have to use the carrot key ^ for an exponent and the carrot key is found by pressing "shift" and "6". For example, 42 would be entered as 4^2
Answer:
x^3-2x^2-13x+6
Step-by-step explanation:
We are to simplify the expression (x+3)(x^2−5x+2). This is as shown;
(x+3)(x^2−5x+2)
Expand
= x(x^2)-5x(x)+2x+3x^2-3(5x)+6
= x^3 - 5x^2+2x+3x^2-15x+6
Collect the like terms
= x^3 - 5x^2+3x^2+2x-15x=6
= x^3-2x^2-13x+6
This gives the required expression
Please help.
Is algebra.
Answer:
Q7: 6a³
Q8: -6n^4
Q9: -7a
Step-by-step explanation:
see attachment below
(1) I'm going to be posting 12 of these so if you're good then just stay tuned
Answer:
99
Step-by-step explanation:
The following figure is a trapezoid with the following dimensions
Height = 9ft
Shorter Base Length = 6ft
Longer Base Length = 16ft
The area of a trapezoid can be found using this formula
[tex]A=\frac{a+b}{2}h[/tex]
where a and b = bases and h = height
Given all the information needed we plug in the values into the formula
[tex]A=\frac{6+16}{2} 9\\6+16=22\\\frac{22}{2} =11\\11*9=99\\A=99ft^2[/tex]
So we can conclude that the area of the trapezoid is 99 ft²
Answer:
Formula of a trapezoid:
Base 1 + Base 2 x H x 1/2
In this case:
Base 1 (6) + Base 2 (16) x Height (9) x 1/2
= 99
Fill in the blanks to create a true statement.
(125 x^3 y^-12)^-2/3=
Answer:
Step-by-step explanation:
Factorize 125 = 5 * 5 * 5 = 5³
[tex](125x^{3}*y^{-12})^{\frac{-2}{3}} = (5^{3}x^{3}*y^{-12})^{\frac{-2}{3}}\\\\ = 5^{(3*\frac{-2}{3})}* x^{[3*\frac{-2}{3}]}*y^{-12*\frac{-2}{3}}\\\\= 5^{-2} * x^{-2} * y^{(-4*-2)}\\\\=\frac{1}{5^{2}x^{2}}*y^{8}\\\\=\frac{y^{8}}{25x^{2}}[/tex]
[tex](a*b)^{m} = a^{m}*b^{m}\\\\a^{-m}=\frac{1}{a^{m}}[/tex]
The diameter of a basketball rim is 18 inches. A standard basketball has a circumference of 30 inches. What is the distance between the ball and the rim in a shot in which the ball goes exactly in the center of the rim? Show your work.
Answer:
4.2 inches
Step-by-step explanation:
Basketball rim:
diameter = 18 inches
r = 18/2 = 9 inches
Ball:
Circumference of ball = 30 inches
2πr = 30 inches
[tex]2*3.14*r = 30\\\\r = \frac{30}{2*3.14}\\\\r = 4.8 inches[/tex]
Distance between the ball and the rim in a shot when the ball goes exactly in the center of the rim = radius of the rim - radius of the ball
= 9 - 4.8
= 4.2 inches
A total of 501 tickets were sold for the school play. They were either adult tickets or student tickets. There were 51 more student tickets sold than adult tickets.
How many adult tickets were sold?
adult tickets
thank you :)
Answer:
501+51=552
Step-by-step explanation:
ad dthem to get answer
Please help me with question number 2
Answer:
2. The area of the side walk is approximately 217 m²
3. The distance away from the sprinkler the water can spread is approximately 11 feet
4. The area of the rug is 49.6
Step-by-step explanation:
2. The dimensions of the flower bed and the sidewalks are;
The diameter of the flower bed = 20 meters
The width of the circular side walk, x = 3 meters
Therefore, the diameter of the outer edge of the side walk, D, is given as follows
D = d + 2·x (The width of the side walk is applied to both side of the circular diameter)
∴ D = 20 + 2×3 = 26
The area of the side walk = The area of the sidewalk and the side walk = The area of the flower bed
∴ The area of the side walk, A = π·D²/4 - π·d²/4
∴ A = 3.14 × 26²/4 - 3.14 × 20²/4 = 216.66
By rounding to the nearest whole number, the area of the side walk, A ≈ 217 m²
3. Given that the area formed by the circular pattern, A = 379.94 ft.², we have;
Area of a circle = π·r²
∴ Where 'r' represents how far it can spread, we have;
π·r² = 379.94
r = √(379.94 ft.²/π) ≈ 10.997211 ft.
Therefore, the distance away from the sprinkler the water can spread, r ≈ 11 feet
4. The circumference of the rug = 24.8 meters
The circumference of a circle, C = 2·π·r
Where;
r = The radius of the circle
π = 3.1
∴ For the rug of radius 'r', C = 2·π·r = 24.8
r = 24.8/(2·π) = 12.4/π = 12.4/3.1 = 4
The area = π·r²
∴ The area of the rug = 3.1 × 4² = 49.6.
What is 30% of 60?
options:
26
36
46
56
Answer:
None of these are correct.. 30% of 60 is 18.
Step-by-step explanation:
60 x .30 = 18
Help!!!!!!!!!!!!!!!!!!!!!
Answer:
2826yd²
Step-by-step explanation:
The area of a circle is 3.14r²
Youre given a diameter of 60 so the radius would be 30 now plug into the equation and you get 2826
Answer:
11,309.734
Step-by-step explanation:
hope it is correct.
if is correct please mark as brainliest
have a great day/night
thank you
19NBoli
3y - 21 = 12x How to solve for y
Answer:
y=4x+7
Step-by-step explanation:
Let's solve for y.
3y−21=12x
Step 1: Add 21 to both sides.
3y−21+21=12x+21
3y=12x+21
Step 2: Divide both sides by 3.
3y /3 = 12x+21 /3 y=4x+7
brainliest please?
Challenge A new coffee shop sold cups of hot coffee and cups of iced coffee during its first two days. The ratio of cups of hot coffee sold to cups of iced coffee sold on the first day was . On the second day, the shop sold as many cups of iced coffee as the first day. The ratio of cups of hot coffee sold to cups of iced coffee sold on the second day was . How many cups of each type of coffee did the shop sell each day?
Answer:
1 day = 221 hot coffee cups and 117 iced coffee cups
2 day = 247 hot coffee cups and 234 iced coffee cups
Step-by-step explanation:
A new coffee shop sold 468 cups of hot coffee and 351 cups of iced
coffee during its first two days. The ratio of cups of hot coffee sold to cups of
iced coffee sold on the first day was 17 : 9. On the second day, the shop sold
twice as many cups of iced coffee as the first day. The ratio of cups of hot
coffee sold to cups of iced coffee sold on the second day was 19 : 18.
a) How many cups of each type of coffee did the shop sell the first day?
Let cups of hot coffee be denoted by x
Then
17x+ 19x= 468
or
36x= 468
x= 13
On the first day the number of hot coffee cups sold are 17y or 17*13= 221 cups.
On the second day the number of hot coffee cups sold are 19y or 13*19= 247 cups.
Similarly Let cups of iced coffee be denoted by y
Then
9y+18y= 351
27y= 351
y= 351/27= 13
On the first day the number of iced coffee cups sold are 9y or 13*9= 117 cups.
On the second day the number of iced coffee cups sold are 18y or 13*18= 234 cups.
It is the assumption of staff at NSA that 96% of students will graduate on time. Last year 150 out of 154 students graduated on time. What is the p-value and z-score of the graduation rate at NSA?
a. p = .625, z = .73
b. p = .73, z = .625
c. p = .96, z = 1.976
d. p = 1.10, z =0.986
Is the staff at NSA correct in assuming that 96% of NSA students will graduate on time?
Yes
No
Suppose you have a bag with 50 letters tiles in it and 9 of the tiles are the letter m. If you pick a letter tule at random from the bag, probability that is the letter m is 9/50
Answer: True- [tex]\dfrac{9}{50}[/tex]
Step-by-step explanation:
Given
There are 50 letter tiles
9 of them is m letter
Favorable outcomes to draw an m letter tile is 9
The total ways to draw a single tile is 50
Probability is the ratio of favorable to the total outcomes
[tex]P=\dfrac{9}{50}[/tex]
So, the given statement is true
If you are given the hypotenuse and an adjacent side...which trig function should you use?
Answer:
sine
Step-by-step explanation:
Answer:
use the cosine (cos)
Step-by-step explanation:
There are three trig functions:
sin
cos
tan
An easy way to remember which sides go with which function is the saying:
soh - cah - toa
so....breaking down the acronoym
sin refers to opposite over hypotenuse
cos refers to adjacent over hypotenuse
tan refers to opposite over adjacent
Hope this helps!!!! :)
How do I solve this??
Answer:
swsry
Step-by-step explanation:
ssry