Answer:
8x^2 - 26x - 10
Step-by-step explanation:
3(6x2 + 3x - 5 ) = 18x^2 + 9 -15
5(2x2 + 7x - 1) = 10x^2 + 35 - 5
18^2 - 10x^2 = 8x^2
9x - 35x = - 26x
-15 -(-5) = -10
final answer = 8x^2 - 26x - 10
Alex has 512 cubes, with dimensions in feet (ft), like the one shown. He uses all the cubes to fill a box shaped like a larger rectangular prism. There are no gaps between the cubes.
A) First, find the volume of each cube:
V = s³
= (1/2)³
= 1/8 ft³
We have a total of 64 cubes, therefore the maximum volume will be:
Vmax = 64 · (1/8) = 8 ft³
B) The volume of a rectangular prism is given by:
V = w × l × h
Therefore any combination of w × l × h = Vmax = 8 will be fine.
Examples:
2 × 2 × 2
4 × 2 × 1
Find the coefficient of the x^3 in the expansion of (2x-9)^5
Use the binomial theorem:
[tex]\displaystyle (2x-9)^5 = \sum_{k=0}^5 \binom5k (2x)^{5-k}(-9)^k = \sum_{k=0}^5 \frac{5!}{k!(5-k)!} 2^5 \left(-\frac92\right)^k x^{5-k}[/tex]
The x ³ terms occurs for 5 - k = 3, or k = 2, and its coefficient would be
[tex]\dfrac{5!}{2!(5-2)!} 2^5 \left(-\dfrac92\right)^2 = \boxed{6480}[/tex]
A quarter has a diameter of 24 mm.
Which measurement is closest to the
circumference of the quarter in
millimeters?
A. 452.39 mm
B. 37.7 mm
C. 75.4 mm
D. 150.8 mm
Answer:
C or D
Step-by-step explanation:
Question 4
1 points)
The high school football game started at 7:15 P.M. and ended at 10:44 P.M. How
long did the game last?
A. O 3 hours 29 minutes
B. O 3 hours 9 minutes
C. O 2 hours 29 minutes
D. O 2 hours 9 minutes
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Clear Answer
1. Force is a push or a
upon an object
A heat
C. pull
B. motion
D. transfer
2 Which is needed to make an object move?
A density
C. porous
B. force
D. non-porous
Answer:
1. C
2.B
Step-by-step explanation:
Force is a push or a pull.. can be a twist too
to make an object move you have to apply force by pushing of pulling the object.
A middle school has 220 students in each grade 6,7,8.The librarian wants to know which books are the most popular among the students in her school.
Answer:
?
Step-by-step explanation:
the choices, the question?
Two planes just took off from Boston, MA. The first plane is traveling 2.5 times as fast as the second plane. After traveling in the same direction for 5 hours, they are 735 miles apart. What is the average speed of each plane? (Hint: Since they are traveling in the same direction, the distance between them will be the difference of their distances.)
Answer:
Plane 1: rate = 245 mph
Plane 2: rate = 98 mph
Step-by-step explanation:
Plane 2: Let r = rate
d = 5r
Plane 1: 2.5r = rate
d = 5(2.5r)
5(2.5r) - 5r = 735
12.5r - 5r = 735
7.5r = 735
r = 98
Not if this correct????
Step-by-step explanation:
(o, -2) is the correct answer because in -90°
P [x,y] =P' [y,-x ]
hope it is helpful to you
which angle corresponds to <OJH
Answer:
line parallel to OJ or JH
If l || m, determine what type of angles they are and find the value of x.
what is:
k/3 + 17 = 12?
Answer:
-15
Step-by-step explanation:
yan po ang answer thank you na lang po
A blueprint shows an apartment with an area of 15 square inches. If the blueprint's scale is 1 inch : 8 feet, what will the actual square footage of the apartment be?
The actual area of the apartment will be 960 square feet.
What is dilation?Dilation is the process of increasing the size of an item without affecting its form. Depending on the scale factor, the object's size can be raised or lowered.
There is no effect of dilation on the angle.
A blueprint shows an apartment with an area of 15 square inches.
If the blueprint's scale is 1 inch : 8 feet.
Then the scale factor will be 8/1 feet per inch.
Then the actual area square footage of the apartment will be
Actual area = 15 x (scale factor)²
Then the actual area of the footage will be
Actual area = 15 x (8/1)²
Actual area = 15 x 64
Actual area = 960 square feet
Thus, the actual area of the apartment will be 960 square feet.
More about the dilation link is given below.
https://brainly.com/question/2856466
#SPJ2
What is the mode of this
data?
5, 3, 3, 6, 7, 9, 10
uh help
Answer:
3
Step-by-step explanation:
3 appears the most (twice)
The rest of the numbers only appear once
Which one is correct?
Find the length of the third side.
I'm not sure if I did this right.
Answer:
2
Step-by-step explanation:
[tex]1^2+x^2=\sqrt{5}^2[/tex]
[tex]x^2+1=5[/tex]
[tex]x=\frac{+}{-} \sqrt{4}[/tex]
2 or -2
What is factor for 7x^2-21-280
Ann races her bicycle for 58m. A wheel of her bicycle turns 29 times as the bicycle travels the distance. What is the diameter of the wheel
Answer:
0.637 m or 63.7 cm
Step-by-step explanation:
Formula
d = n * pi di
Givens
di = diameter and is unknown
n = 29 times
d = 58 meters
Solution
58 = 29 * 3.14 * di
2 = 3.14 * di
2/3.14 = di
d = 0.637 meters
or
d = 63.7 cm
What is the area of this polygon? Im really bad a geometry so can I have help please.
y = x2 – 3x + 2
use the discriminant to determine the number of solutions
Answer:
2 real solutions
Step-by-step explanation:
The formula for determining the discriminant is b² - 4ac.
So, let's identify our variables.
a = 1
b = 3
c = 2
Now, we can plug in our values.
3² - 4(1)(2)
9 - 8
1
1 is the discriminant of this function, and since 1 is positive, this indicates that there are two distinct real number solutions.
write an expression that represents the quotient of a number and 3 multiplied by 4
Answer:
N (3×4) or (N×3) 4
Step-by-step explanation:
brainiest exchange give me and I will give you 2+2
Answer:
4
Step-by-step explanation:
and sure
Answer:
4
Step-by-step explanation:
Which linear inequality is represented by the graph?
Oys 2x + 4
Oyszx+ 3
O yz {x + 3
O y 2x + 3
The linear inequality that represents the graph is: [tex]y \le \frac 23x + \frac 15[/tex]
The line of the inequality passes through the points:
(0,0.2) and (3,2.2)
So, the slope of the line is:
[tex]m = \frac{2.2 - 0.2}{3 - 0}[/tex]
[tex]m = \frac{2}{3 }[/tex]
The equation is then calculated as:
[tex]y =mx + c[/tex]
Where c represents the value of y, when x = 0.
So, we have:
[tex]y =\frac 23x + 0.2[/tex]
Rewrite as:
[tex]y =\frac 23x + \frac 15[/tex]
The down region is shaded, and the line is a closed line.
So, the inequality is:
[tex]y \le \frac 23x + \frac 15[/tex]
Read more about inequalities at:
https://brainly.com/question/9774970
Pls help
If a varies jointly as b and c, find a when b = 4 and c = -3.
a = -96 when b = 3 and c = -8
a=
Answer:
a=4bc
a=4(4)(-3)=-48
a= - 48 when b equals to 3 is equals to - 8
The required answer by direct variation a is equal to 96. In other words, when b = 4 and c = -3, the value of a is 96.
When a variable varies jointly as two other variables, it means that the relationship between the variables can be expressed using direct variation. In this case, we have that "a varies jointly as b and c."
To find the value of a when b = 4 and c = -3, we can set up the proportion based on the direct variation relationship:
a/bc = k
where k is the constant of variation.
Substituting the given values:
a/(4)(-3) = k
Simplifying, we have:
a/-12 = k
Now, we can find the value of a when b = 4 and c = -3 by substituting these values into the equation and solving for a:
a/(-12) = k
a/(-12) = -96/-12 (since k = -96 when b = 3 and c = -8)
a = 96
Therefore, the required answer by direct variation a is equal to 96. In other words, when b = 4 and c = -3, the value of a is 96.
Learn more about direct variation here:
https://brainly.com/question/29150507
#SPJ2
Please help I’m stuck
Answer:
96
Step-by-step explanation:
Its a pattern :) BTW can you help with mine please
What is 24 – 6х3+52 - (16+ 2)?
ОА.
9
ОВ.
23
Ос.
71
OD.
496
Answer:
40
Step-by-step explanation:
24 – 6х3+52 - (16+ 2)
PEMDAS states we do the paranthesis 1st
24 – 6 х 3 + 52 - (18)
Next, we do the multiplication
24 - 18 + 52 - 18
Since it's just adding & subtracting, we go from left to right
40
A pair of weak earthquakes is modeled by a system of inequalities. One earthquake occurred roughly 20 km east and 14 km north of the center of Columbia, NC. The quake could be felt from 25 km away. A couple days later, another earthquake occurred 8 km west and 3 km north of the center of Columbia and could be felt from 14 km away. If Columbia is located at (0, 0) on a coordinate grid, the system of inequalities represents this scenario.
StartLayout Enlarged left-brace first row (x minus 20) squared + (y minus 14) squared less-than-or-equal-to 625 second row (x + 8) squared + (y minus 3) squared less-than-or-equal-to 196 EndLayout
Which location relative to Columbia felt both earthquakes?
4 km west and 12 km south
6 km west and 4 km north
2 km east and 10 km north
6 km east and 8 km north
Answer:
2 km east and 10 km north
Step-by-step explanation:
I did the activity and got the right answer.
By evaluating the inequalities, we will see that the correct option is: 2 km east and 10 km north
Which location will feel both earthquakes?
Here we have the inequalities:
(x - 20)^2 + (y - 14)^2 ≤ 625
(x + 8)^2 + (y - 3)^2 ≤ 196
Where, x is the distance due east, and y is the distance due north.
So we just need to find which of the given options makes both inequalities true, for example, for the first one we have:
x = -4
y = -12
Replacing that on the first inequality we get:
(-4 - 20)^2 + (-12 - 14)^2 ≤ 625
1,252 ≤ 625
This is false, so this option is not correct.
Now we just need to check the other options. Particularly for the third we have:
x = 2
y = 10
Replacing that in both inequalities we get:
(2 - 20)^2 + (10 - 14)^2 ≤ 625
340 ≤ 625 (true).
(2 + 8)^2 + (10 - 3)^2 ≤ 196
149 ≤ 196 (true)
So at 2km east and 10km north of Columbia, the two earthquakes can be felt.
If you want to learn more about inequalities, you can read:
https://brainly.com/question/18881247
work out the value of (6-2.5)( 8+4)
Answer:
42
Step-by-step explanation:
Uh, I'm guessing what is being asked here is to solve, so, time to distribute.
(6 - 2.5)(8 + 4)
48 + 24 - 20 - 10
42
u = 63 cm, t = 34 cm and ∠T=158°. Find all possible values of ∠U, to the nearest 10th of a degree.
Answer:
{}
Step-by-step explanation:
Thats actually the answer believe it or not :)
add 2 please add
[tex]2 \frac{3}{4} + 5 \frac{4}{5} = [/tex]
Answer:
Step-by-step explanation:
19/4 + 29/5
2.75 + 5.8
= 8.55
the ratio of the corresponding sides of two similar triangles is 2:5 the sides of the smaller triangle is 6mm 8mm and 12mm what is the perimeter of the larger triangle?
Answer:
65
Step-by-step explanation:
using the ratio we can find the side lengths of the other triangle.
since it is 2:5
6:x=2:5
so x = 15(first side)
8:x=2:5
so x = 20(second side)
12:x=2:5
x=30(third side)
so then we add them up
15+20+30
65
hope this was helpful
