Answer:
a⁴ - 81
Step-by-step explanation:
Identity applied :
(a + b)(a - b) = a² - b²
Simplifying :
(a + 3)(a − 3)(a² + 9)(a² - 9)(a² + 9)a⁴ - 81Plot the points: A(4, 5), B(3, 3), C(6.9), D(8, 13), and E(10, 15).
All but one of the points are on the same line. Which one is not?
Answer:
E (10, 15)
Step-by-step explanation:
Plotting the points on a graph : (Check attachment)
On plotting the points, and joining a line that connects all points except one, it becomes evident that the point not on the line is :
E (10, 15)Answer:
E
Step-by-step explanation:
Helppppppppppppooooo
Answer:
864 ft^2
Step-by-step explanation:
Surface area equation is the same as the one used in the other problem; S=(1/2)lP + B
one side is 20 x 14 = 280
another side is 12x14 = 168
another side is 16x14 = 224
the triangle bases are A=(1/2)bh
(1/2)12 x 16 = 96
2(96) = 192
Add all sides together 192 + 224 + 280 + 168 = 864
You pick a card at random, put it back, and then pick another card at random.
2345
What is the probability of picking a number less than 4 and then picking a number greater
than 2?
Write your answer as a percentage.
%
Answer:
3 is the right answer because it is less than 4 and greater than 2
1,000 km = 1 mm
True or False
Answer: Heavily false. False by a long shot.
Step-by-step explanation: 1,000 kilometers is equivalent to 1e+9 millimeters. This is nine zeros after 1. So, this can be simplified as 1,000,000,000 milimeters, or rather, 1 billion millimeters. You can calculate this yourself by multiplying 1000 by 1,000,000 (1km = 1,000,000 mm.)
Lisa's test grades are 79, 89 and 90
b. There will be one more test this year. If Lisa wants her test average to at least be 88, what is the lowest grade she could get on her last test.
Answer:
94
Step-by-step explanation:
Equating the mean to the scores :
88 = 79 + 89 + 90 + x / 4352 = 258 + xx = 94So
Let that be n
n+79+89+90/4=88n+258/4=88n+258=352n=94How can these models be used to find the sum 1.8 + 1.56?
Enter your answers in the boxes.
The models show a total of 2 wholes,
tenths, and
hundredths. After regrouping 10 tenths into 1 whole, there are
wholes,
tenths, and
hundredths. Therefore, the sum of the numbers is
.
First row. One large square divided into a 10 by 10 grid of 100 small squares. Eight columns, each divided into 10 small squares. Second row. One large square divided into a 10 by 10 grid of 100 small squares. Five columns, each divided into 10 small squares. Six small squares.
Answer:
The sum of 1.8 and 1.56 is 3.36 according to the model
Sum of decimals
Given the expression 1.8 + 1.56
Using the partial sum method
1.8 + 1.56 = (1.0 + 0.8) + (1.0+0.56)
Regroup as whole and decimal number
1.8 + 1.56 = (1.0 + 1.0) + (0.8 +0.56)
1.8 + 1.56 = 2.0 + 1.36
1.8 + 1.56 = 3.36
Hence the sum of 1.8 and 1.56 is 3.36 according to the model
14 boys and 16 girls in class
What is the ratio of girls to the total number of students in class? Write ratio in 3 ways
Answer:
1) 16 : 30
2) 8 : 15
3) [tex]\displaystyle \frac{8}{15}[/tex]
Step-by-step explanation:
Boys = 14
Girls = 16
Total students:
= 14 + 16
= 30
Ratio of Girls to total number of students in class:
= 16 : 30
÷2 ÷2
= 8 : 15
= [tex]\displaystyle \frac{8}{15}[/tex]
[tex]\rule[225]{225}{2}[/tex]
What is “y is __ times x”
Answer:
6
Step-by-step explanation:
Solve for x and find the degree of the other two angles.
m<2 = 9x + 6
Answer:
x = 7 and the degree of other two angles is 69.
Step-by-step explanation:
As we can see it is an isosceles triangle so base angles of an isosceles triangle are equal so
9x + 6 + 9x + 6 + 42 = 180 (being sum of angles of triangle )
18x + 54 = 180
18x = 180 - 54
18x = 126
x = 126/18
x = 7
the degree of the other two angle is
= 9*7 + 6
= 69
Hope it helps :)
Answer the question below please (file attached) 50 POINTS
Answer:
They bought 6 vanilla wafers and 21 chocolate, they add up to 27.
x = amount of vanilla wafers
y = amount of chocolate wafers.
4x+y = 45
x+y= 27
Step-by-step explanation:
x = amount of vanilla wafers
y = amount of chocolate wafers
Vanilla wafers = 4$ each
Chocolate wafers = 1$ each.
So, 4x+y = 45 and x+y= 27 because they spent 47$ on 27 packs.
With both equations we can substitute.
1. Change one equation so one variable is on one side
x+y = 27 to y = 27-x
2. Substitute the variable from the other equation.
4x+y = 45 to 4x+27-x = 45
3. Solve the equation for x.
4x+27-x = 45
3x+27 = 45
3x = 18
x = 6 (amount of vanilla wafers)
4. substitute with equation.
y = 27-x to y = 27-6
5. Solve the equation for y.
y = 27-6
y = 21 (amount of chocolate wafers)
can anyone tell me what point I plot these two at pls
Answer:
[tex]x^{2} +y^{2}=25[/tex]
[tex]x^{2} +y^{2}=5[/tex]
Radius: 5
Radius: [tex]\sqrt{5}[/tex]
Step-by-step explanation:
(see images below)
Hope this helped!
~rere
Graph the image of rectangle CDEF after a translation 2 units right and 10 units down.
Answer:
Graph these points:
(-6, -6)
(0, -6)
(0, -1)
(-6, -1)
The diameter of a circle is 8 in. Find the circumference \textit{to the nearest tenth}to the nearest tenth.
Answer: C ≈ 25.1
Step-by-step explanation:
The circumference of a circle can be found with the following formula. We will plug in the diameter given, and solve.
C = dπ
C = (8)π
C ≈ 25.1
“Solve the following system of equations using the method of substitution.” Please help!!!
Answer: -17/4
Step-by-step explanation:
help pls!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
y = -3x - 1
hope this helps!
Help plez . What is the mean absolute deviation of the data set?
8, 5, 12, 4, 5, 8, 7
1
2
5
7
Answer:
2
Step-by-step explanation:
first, add terms
8 + 5 + 12 + 4 + 5 + 8 + 7 = 49
seven terms, therefore we divide by 7
49/7 = 7
find distance
8-7= 1
7-5= 2
12-7=5
7-4=3
7-5=2
8-7=1
7-7=0
added together you get 14,
14/7 = 2
your answer is 2
hope this helps:)
Solve the system of equations 3x - 2y = 8 x-2y = 4
Answer: (2, -1), or x = 2 and y = -1
By graphing:
We can solve by graphing. See attached.
-> The solution is the point of intersection. The lines intersect at (2, -1) which means x is equal to 2 and y is equal to -1.
By substituting:
We can solve this by substituting. It means we will substitute one equation into the other, then solve for the variables.
3x - 2y = 8
x - 2y = 4 -> x = 2y + 4
-
3x - 2y = 8
3(2y + 4) - 2y = 8
6y + 12 - 2y = 8
4y = -4
y = -1
-
x - 2y = 4
x - 2(-1) = 4
x + 2 = 4
x = 2
The turtle’s distance from his starting point is increasing between
seconds.
The turtle’s distance from his starting point is constant between
seconds.
The turtle’s distance from his starting point is decreasing between
seconds.
Answer:
Option A is the correct option
Answer:1) 0-6, 2)6-8, 3)8-12
Step-by-step explanation:
Translate shapes
Draw the image of AABC under a translation by 2 units down.
y
6
5+
3
2
A
A
-7 -6 4 -3 -2
2
1 2 3 4 5 6 7
-24
-3
Answer:
Just think about it.............. 77 + 33 = 100
Step-by-step explanation:
You add
Please help me with this really please
Answer:
You need 443.2 square inches of wrapping paper to completely cover the prism.
Step-by-step explanation:
Calculate the area of each side.
Triangles:
Base * Height * 1/2
10 in. * 8.7 in. * 1/2
87 in.^2 * 1/2
43.5 in.^2
There are two sides with the triangle so we multiply the 43.5 in.^2 by two
(43.5 in.^2) * 2
87 in.^2
Side Rectangles:
Length * Width
13 in. * 8.7 in.
113.1 in.^2
There are two sides with this size rectangle so we multiply the 113.1 in.^2 by two
(113.1 in.^2) * 2
226.2 in.^2
Bottom Rectangle
Length * Width
13 in. * 10 in.
130 in.^2
There is only one side with the bottom rectangle.
Add up all the calculate areas.
Triangles + Side Rectangles + Bottom Rectangle
87 in.^2 + 226.2 in.^2 + 130 in.^2
443.2 in.^2
there are light-bulbs at the factory
nice. are they filament lightbulbs or fluorecent lightbulbs
Let X and Y be the following sets:
X = {5, 6, 10, 12, 15, 18}
Y = {6, 10, 12, 15)
Which of the following is the set X UY?
Answer:
i think the answer is X, because the elements of both X and Y are in X
A pool is leaking at a rate of a quarter of a gallon per minute. What is this rate in gallons per hour?
Answer:
15 gallons per hour
Step-by-step explanation:
So, what is given in the equation is that 1/4 of a gallon is leaking per minute. We have to change this to gallons per hour. Set it up like this:
[tex]\frac{\frac{1}{4}gallon }{1 minute} *\frac{60 min}{1 hour}[/tex]
Use a calculator and multiply 1/4 by 60.
After doing this, you should get:
[tex]\frac{15 gallons}{1 hour}[/tex]
Thus, the answer is the pool will leak 15 gallons per hour.
Hope this helps!! Ask questions in comments if needed!
If you get $10 starting May 21 2022 for every 8 days till October 1. How Much money will you have?
Answer:
$160
Step-by-step explanation:
the difference between May 21, 2022 -- October 1, 2022 = 133 days. since u only get money every 8 days divide 133 by 8 and round down.
[tex]133/8=16.625[/tex]
[tex]\approx16[/tex]
multiply 16 by $10 to get $160
A rectangular prism with a length of 3.8 meters and a width of 1.5 meters has a volume of 16.53 cubic meters.
What is the height of the prism?
2.9 m
6.525 m
11.23 m
21.83 m
Ajay wraps a gift box in the shape of a triangular pyramid. The figure below shows a
net for the gift box.
8.66 m
10 m
If all the triangles are equilateral, how much wrapping paper
did he use, in square meters?
Ajay wraps a gift box in the shape of a triangular pyramid. The amount
of wrapping paper he uses is 173.2 square inches.
How to calculate the surface area of a triangular pyramid?The formula for calculating the total surface area is expressed as:
Area = 4(area of triangle)
The area of the triangle
A = 0.5(8.66)(10)
A = 43.3 square inches
The total surface area will be
TSA = 4(43.3)
TSA = 173.2 square inches
Hence the amount of wrapping paper Ajay uses is 173.2 square inches
Learn more on the total surface area here:
brainly.com/question/1297098
#SPJ1
A circle has an area of 50.24 in.². Daisy solves
the equation as shown below to find the radius
of the circle. What is the diameter of the circle?
1st Step:
50.24-314rr 2nd Step: 16 = rr
Four times
itself is 16!
3.14
3.14
r = 4
A
B
4 in.
8 in.
16 in.
C
Answer:
8in
Step-by-step explanation:
Using the formulas
[tex]area = 2\pi \: r {}^{2} [/tex]
d= 2r
Solving for d
d= 2r
[tex]d = 2 \sqrt \ \frac{a}{\pi} = 2. \sqrt{ \frac{50.24}{\pi} } = 7.99797[/tex]
work out value of a
Answer:
a=99
Step-by-step explanation:
First, let's subtract 136 from 180. We get 44, which means that the angle of the other side is 44 degrees.
180-136=44
Next, let's subtract 125 from 180. 180-125 = 55. This means the other angle next to 125 degrees is 55 degrees.
180-125=55
We know that the sum of a triangle's angles is = 180 degrees
We can find the last angle of the triangle by adding 44 & 55, and then subtracting that sum from 180 (the total sum).
44+55=99
180-99=81
For our last and final step, let's subtract 81 from 180 to find the angle NEXT to 81 (a).
180-81=99
a = 99 degrees
Hope this helped :) If you have any questions, don't be afraid to comment!
Answer:
The value of a is 99°check photo for detailed analysisA biology student wants to determine if using a fertilizer would help promote growth of new babies in spider plants. The student has access to 90 spider plants of three varieties: green, variegated, and curly. They all are potted in the same amount and type of soil, given the same amount of water, and exposed to the same amount of light. After one year, the shoots will be counted for each plant.
Which of the following describes a random block design for this experiment?
A) The plants are numbered 01–90. Using a line from a random number table, the first 45 two-digit numbers, ignoring repeats and the numbers 91–99 and 00, represent the plants that will receive fertilizer. The remaining 45 plants will not receive fertilizer.
B) The plants are paired together based on similar size and numbered 1 and 2. Within each pair, a 6-sided number cube is rolled. If it lands on 1, 2, or 3, plant 1 receives the fertilizer and plant 2 does not receive fertilizer. If the cube lands on 4, 5, or 6, plant 1 does not receive fertilizer and plant 2 receives fertilizer. This is done for each of the 45 pairs of plants.
C) The plants are grouped based on variety. There are 30 plants of each variety. The plants within each variety are numbered 1–30, and the numbers are put in a random number generator. The first 15 unique numbers represent the plants in each variety that will receive fertilizer and the remaining 15 numbers will represent the plants in each variety that will not receive fertilizer.
D) The plants are grouped based on size. The 30 biggest plants are placed in one group and the 30 smallest plants in another other group. The remaining 30 plants are placed in a third group. For each group, a coin is flipped. If the coin lands on heads then the group will receive the fertilizer. If it lands on tails, then the group will not receive fertilizer. Repeat this procedure for the other two groups.
Answer:
it is b
Step-by-step explanation:
that is the most effective way to measure how well the fertilizer works with all of the plants
i need this answer as fast and soon as possible
Each of the digits 2, 3, 4, 5 and 7 must be placed in the circles so that the sum of each straight line is 15.
(Fill in the empty circle spaces)
Answer:
1st horizontal lines is 2,5,8=15
2nd horizontal line 4,5,6
vertical line 5,5,5
Answer:
See below ~
Step-by-step explanation:
