Answer:
[tex]-0.36a^5b^6x^6.[/tex]
Step-by-step explanation:
Given:
a²x⁵b, −0.6axb² and 0.6a²b³
Required
Find their product
The product of a²x⁵b, −0.6axb² and 0.6a²b³ is as follows:
[tex]a^2x^5b * -0.6axb^2 * 0.6a^2b^3[/tex]
Split individual monomial
[tex]a^2*x^5*b * -0.6*a*x*b^2 * 0.6*a^2*b^3[/tex]
Bring like terms together
[tex]-0.6 * 0.6 * a^2 * a * a^2 *b *b^2 * b^3 *x^5*x[/tex]
For ease of multiplication, group each like terms using brackets
[tex](-0.6 * 0.6) * (a^2 * a * a^2) * (b *b^2 * b^3) *(x^5*x)[/tex]
Using law of indices;
Which states that; [tex]m^a * m^b = m^{a + b}[/tex]
The expression becomes:
[tex](-0.36) *(a^{2+1+2}) * (b^{1+2+3}) * (x^{5+1})[/tex]
[tex]-0.36 * a^5 * b^6 * x^6[/tex]
Multiply the above expression
[tex]-0.36a^5b^6x^6.[/tex]
Hence;
The product of a²x⁵b, −0.6axb² and 0.6a²b³ is equivalent to [tex]-0.36a^5b^6x^6.[/tex]
HelpPPPPP can y'all help solve this? 10b -8 < -28 or 8 -6b < -4
Answer:
b < 2
Step-by-step explanation:
10b - 8 < 28
Add 8 to both sides
10b -8 + 8< -28 + 8
Simplify
10b < 20
divide both sides by ten
10b divided by 10 < -20 divided by ten
b < 2
which symbol is used to name a line with two points A and B
Answer:
AB
Step-by-step explanation:
I think that's the answer
The sum of two numbers is 37. Their difference is 7. What are the numbers? A. 17 and 24 B. 16 and 21 C. 15 and 22 D. 18 and 25
x+y=37
x-y=7
2y=30
y=15
x+15=37
x=22
answer C
Answer:c
Step-by-step explanation:
Which of the following steps were applied to ABC obtain A’B’C’?
Answer:
Two units left and four units up
Step-by-step explanation:
Find the translation that occurs to point A to A'.
A gets moved 2 units left, and then 4 units up to become A'.
Answer:
D.
Step-by-step explanation:
C' prime is the translated shape so we need to translate point A to A'. Shifting the point A 2 units left and 4 units up brings it to point A'
42. A rectangular box measures 0.75m by
0.5m. Find the ratio of the width to the length.
A. 1:4
B. 1:2
C. 2:3
D. 5:7
E. 3:5
Answer:
C
Step-by-step explanation:
Expressing the ratio of width : length in fractional form, that is
0.5 m = [tex]\frac{1}{2}[/tex] m and 0.75 m = [tex]\frac{3}{4}[/tex] m , then
[tex]\frac{1}{2}[/tex] : [tex]\frac{3}{4}[/tex] ( multiply both parts by 4 to eliminate the fractions )
= 2 : 3 → C
If anyone is good at math can you help me pls :/
Answer:
C
Step-by-step explanation:
An apothem is a line segment connecting the center of a regular polygon to the midpoint of its vertex.
PLEASE HURRY determine which consecutive integers do not have real zeros between them. 2x^3-6x^2+x+2 a. (-1,0) c. (1,2) b. (0,1) d. (2,3)
Answer:
c
Step-by-step explanation:
Answer:
[tex]\Large \boxed{\mathrm{\bold{C.} \ (1,2)}}[/tex]
Step-by-step explanation:
[tex]2x^3-6x^2+x+2[/tex]
Zeros are when y = 0 or where it touches the x-axis.
It crosses the x-axis at:
x ≈ -0.47
x ≈ 0.797
x ≈ 2.673
The consecutive integers (1, 2) do not have real zeros between them as shown in the graph below.
x^2 + 6x + 5 show equation
Answer:
[tex]\boxed{\sf \ \ \ x=-5 \ \ \ or \ \ \ x=-1 \ \ }[/tex]
Step-by-step explanation:
[tex]x^2+6x+5 = x^2+x+5x+5 = x(x+1)+5(x+1)=(x+5)(x+1)[/tex]
so
[tex]x^2+6x+5 = 0 <=> (x+5)(x+1)=0\\\\<=> x = -5 \ or \ x=-1[/tex]
hope this helps
If ABCD is a rectangle, and ABD=55, what is the value of X?
Answer:
x= 70
Step-by-step explanation:
This question needs an attachment; see attached
Given
ABD = 55
Required
Find x?
In the figure shown in the attachment, angle b and ABD are alternate interior angles;
From parallel and perpendicular line theorems; alternate interior angles are equal.
This implies that <b = 55
Also; when a rectangle is divided by two diagonals, the resulting triangles are isosceles triangles;
where 2 sides and 2 angles are equal;
This implies that <b = <c = 55
Sum of angles in a triangle = 180;
So,
<x + <b + <c = 55
x + 55 + 55 = 180
x + 110 = 180
Subtract 110 from both sides
x + 110 - 110 = 180 - 110
x = 180 - 110
x = 70
if m is the least prime number and n is the least positive integer multiple of 12, what is the difference between n and m
Answer:
10
Step-by-step explanation:
m = least prime number = 2
n = least positive integer multiple of 12 = 12
n - m = 12 - 2 = 10
Answer:
10
Step-by-step explanation:
2 is the least prime number because it is not a product of any two smaller natural numbers. m=2
12 is the least positive integer multiple of 12. n=12
12-2=10
Please answer if you know
5y^2 - 2 = 3y
Answer:
y= -2/5 and y=1
Step-by-step explanation:
Start by transforming the equation to your liking:
[tex]5y^2-2=3y\\5y^2-3y-2=0\\[/tex]
Now we have to factor! To do this we have to find common numbers. Do this by multiplying -2 and 5 to get -10. Now think about which two numbers add multiply to be -10 but also add up to be -3 (I got this number from the middle of the equation). The two numbers you should've got are -5 and 2.
Now substitute those two number in place of the middle term, which is -3y like so:
[tex]5y^2-5y+2y-2 =0[/tex]
Now solve the equation in pieces... find the greatest common factor from [tex](5y^2-5y)[/tex] and the greatest common factor from [tex](2y-2)[/tex] . The two common factors for both of those are 5y and 2. Your equation should now look like this:
[tex]5y(y-1)[/tex] + [tex]2(y-1)[/tex]
The two greatest common factors become into one group and the other equation that they have in common (y-1) is it's own equation:
[tex](5y+2)(y-1)=0[/tex]
Now equal both of the equations to 0 and solve for y to get both of the values of y.
Use the interactive to graph a line with the given points: (–1,7) and (1,–1) The coordinates of the y-intercept of the line are.
Answer:
The y-intercept would be 6.25
Step-by-step explanation:
I found this by taking the two points and making it into a y = mx + b line.
Answer:
(0,3)
Step-by-step explanation:
We can use the slope-intercept form to find the y-intercept.
First, we need to find the slope of the line.
We are given the points (-1,7) and (1,-1).
[tex]m=\frac{rise}{run}=\frac{-1-7}{1+1}=\frac{-8}{2}=-4[/tex]
The slope is -4.
Slope-intercept is [tex]y=mx+b[/tex].
We can replace 'y' and 'x' with one of the points given, 'm' with the slope, and solve for 'b'. "B" would be the y-intercept.
I will use (-1,7):
[tex]7=-4(-1)+b\\\\7=4+b\\\\7-4=4-4+b\\\\\boxed{3=b}[/tex]
The line's equation is [tex]y=-4x+3[/tex].
Therefore, the y-intercept is '3'. The coordinates of the y-intercept is (0,3).
PLS HELP ME GUYS, HELP ME WITH MY GEOMETRY PLS
Answer:
The x would equal 25
Step-by-step explanation: x equals 25 because you need to use Pythagorean Theorem to find the hypotenuse.
Answer:
25
Step-by-step explanation:
Using Pythagorean Theorem, which states that:
[tex]a^2+b^2=c^2[/tex]
Where a, b, c denote the side lengths of a right-angled triangle and c is the hypotenuse.
[tex]24^2+7^2=x^2\\\sqrt{24^2+7^2}=x[/tex]
(No negative solution as it is a length)
[tex]\sqrt{576+49}=x\\\sqrt{625}=x\\x=25[/tex]
the object on the right is made from a square-based pyramid joined to a cuboid.
the base of the cuboid and the base of the pyramid are both squares of side 6cm.
the bright of the cuboid is 9cm and the total height of the object is 17cm.
the total mass of the object is 970g.
the cuboid is made from wood with density 0.68g/cm^3
the pyramid is made from steel.
calculate the density of the steel in g/cm^3.
you must show your working.
Answer:
Density of steel = 80.73 gm/[tex]cm^3[/tex]
Step-by-step explanation:
The figure is made up of cuboid and square pyramid.
Height of cuboid, h = 9 cm
Length of cuboid, l = 6 cm
Width of cuboid, w = 6 cm
Volume of cuboid is given by the formula:
[tex]V_{Cuboid} = l \times w \times h[/tex]
[tex]V_{Cuboid} = 6 \times 6 \times 9\\\Rightarrow V_{Cuboid} = 324\ cm^3[/tex]
Density of Wood , [tex]D_{Cuboid}[/tex]= 0.68g/[tex]cm^3[/tex]
We know that formula of Density is:
[tex]Density = \dfrac{Weight}{Volume}[/tex]
[tex]D_{Cuboid} = \dfrac{W_{Cuboid}}{V_{Cuboid}}\\\Rightarrow W_{Cuboid} = V_{Cuboid} \times D_{Cuboid}[/tex]
Putting the values:
[tex]W_{Cuboid} = 324 \times 0.68 = 220.32\ gm[/tex]
Total weight = [tex]W_{Cuboid} + W_{Pyramid}[/tex]
970 = 220.32 [tex]+ W_{Pyramid}[/tex]
[tex]W_{Pyramid}[/tex] = 749.68 gm
Volume of pyramid is given as:
[tex]V_{Pyramid}= \dfrac{1}{3} \times \text{Area of Base} \times \text{Vertical Height}[/tex]
Base is a square with side 6 cm
[tex]V_{Pyramid}= \dfrac{1}{3} \times 6 \times 6 \times (17 -9)\\V_{Pyramid}= 96\ cm^3[/tex]
Density of Steel/Pyramid:
[tex]D_{Pyramid} = \dfrac{W_{Pyramid}}{V_{Pyramid}}\\\Rightarrow D_{Pyramid} = \dfrac{749.68}{96}\\\Rightarrow D_{Pyramid} = 80.73\ gm/cm^3[/tex]
i need answers to these two when ASAP!!
Answer:
3) given right triangle ABC
Angle A = right angle = 90°
Angle B = 55°
Angle C = 180 - (90 + 55) = 35°
4) Equiangular triangle FGH
angle F = angle G = angle H = 60°
3 to 2 power+8x4 need answer Can’t get it to write 2 squared
Answer: 3^2 + 8×4
= 41
3^2=9, 8 ×4=32 9 +32=41
Step-by-step explanation:
You can use the carat ^ to indicate an exponent. On a standard keyboard it's above the 6. (shift +6).
I have the same problem on my phone keyboard.
In Brainly, you might be able to use the formula options.
Answer:
41
Step-by-step explanation:
3^2 + 8(4)
Multiply 8 by 4
3^2 + 32
Square 3
9 + 32
Add 9 and 32 to get the answer
41
hope this helps!
Coach Ashton bought 6 pairs of shorts for the new members on her soccer team. The
total cost for x shorts was $75.00. There was a shipping cost of $4.99. Write and solve
an equation to determine how much each shorts costs.
What is the length of PQ?
Answer:
3
Step-by-step explanation:
94-91=3
ANSWER PLEASE Tyler Deposits 2000 with 8% interest compounded quarterly how much will he have in his account after a year? I need the Principal Quarterly!!
Answer:
2164.86432
Step-by-step explanation:
2000(1+(.08/4))^4
2164.86
A door measuring 72cm by 1.8m was manufactured by a carpenter who prepared it using 74cm by 1.82m. Find the percentage error in a)the length and breadth of the door
Step-by-step explanation:
so a door is a rectangle and they want the answer in breadth 72 cm and 74cm into m
then divie it by by
The radius of a circle is 8 ft. Find the circumference in terms of pie? ( please its urgent)
Answer:
C = 16 pi
Step-by-step explanation:
The circumference of a circle is given by
C = 2 * pi *r
C = 2 * pi *8
C = 16 pi
Answer:
[tex] = 16\pi \: ft \\ [/tex]
Step-by-step explanation:
[tex]c = 2\pi \: r \\ = 2 \times \pi \times 8 \\ = 16\pi \: ft[/tex]
hope this helps you
A 160 ft. long wire has a resistance of 16.2. What would the resistance of 8 ft. of wire be?
Answer:
Resistance of 8 feet wire = 0.81 Ω
Step-by-step explanation:
Equation representing the relation between the resistance and length of a cylindrical shaped wire is,
R = ρ.[tex]\frac{l}{A}[/tex]
Here R = Resistance of the cylindrical wire
ρ = Resistivity of the material
l = Length of the wire
A = Cross sectional area of the wire.
If length of the wire = 160 ft
Resistance = 16.2 Ω
By substituting these values in the formula,
16.2 = ρ.[tex]\frac{160}{A}[/tex]
ρ = [tex]\frac{16.2\times A}{160}[/tex]
Similarly, if length of the same wire = 8 ft
From the given formula,
R = ρ.[tex]\frac{8}{A}[/tex]
R = [tex]\frac{16.2\times A}{160}\times \frac{8}{A}[/tex]
= 0.81 Ω
Therefore, resistance of 8 feet wire will be 0.82 Ω.
Use the fundamental theorem of algebra to explain how many roots your expression can have. How many real roots and how many complex roots are possible?
(X+12)^9.
Answer:
hi
Step-by-step explanation:
1. (6.2 lesson) Calculate the value of z. (Round to the hundredth) *
z
18
520
22.84
O 29.24
O O O O
18.24
0.04
This is a required question
Answer:
The answer is explained below
Step-by-step explanation:
The question is not complete, I would explain how to calculate the value of Z
The z score is a measure in statistic used to determine the number of standard deviations by which the raw score if from the mean of a normal distribution. If the z score is positive then the raw score is above the mean while if a z score is negative the raw score is below the mean. The z score (z) is given by the formula:
[tex]z=\frac{x-\mu}{\sigma}[/tex]
Where x is the raw score, μ is the mean and σ is the standard deviation.
Let us assume that the mean (μ) = 20 and the standard deviation (σ) = 3. To calculate the z score for x = 30 it is given by:
[tex]z=\frac{x-\mu}{\sigma}=\frac{30-20}{3}=3.33[/tex]
Can somewon please help me?
Answer:
Bobs Data: range from 2 to 8
Rosa Data range from 4 to 7
Step-by-step explanation:
Solve for x. ANSWERS: A) 33 B) 30 C) 13.5 D) 10.5
Answer:
[tex]x=33[/tex]
Step-by-step explanation:
∠SRQ = 180° - 51° = 129°
[tex]4x-3=129[/tex]
[tex]4x-3+3=129+3[/tex]
[tex]4x=132[/tex]
[tex]4x/4=132/4[/tex]
[tex]x=33[/tex]
Answer:
Step-by-step explanation:
x=33
Determine the value of the missing exterior angle. options: A) 104° B) 256° C) 72° D) 92°
answer: X would equal 104
Step-by-step explanation:
you would first find the interior angle for the other 2 exterior angles this would lead for the other 2 interior angles would be 88 and 16 so you would have 180 - 176 so then you do 180- 76 to find the missing angle of X
Missing exterior angle is 104°.
What is exterior angle?Exterior angles are angles that are parallel to the inner angles of a polygon but lie on the outside of it. The measure of an exterior angle is equal to the sum of the two internal opposite angles.
Given,
In the figure
Measure of exterior angles = 92°, 164°, x°
Sum of exterior angles of triangle is 360°
92° + 164° + x° = 360°
256° + x° = 360°
x° = 360° - 256°
x° = 104°
Hence, 104° is the measure of the missing exterior angle.
Learn more about exterior angle here:
https://brainly.com/question/28835566
#SPJ2
Question 2 Multiple Choice worth 5 pont)
(01.01 LC)Which of the following describes a situation in which the total distance a baseball player travels is zero meters from his starting point?
A.The player runs 5 meters forward, and then runs 5 meters in the opposite direction.
B.The player runs 5 meters forward, and then runs 6 meters in the opposite direction.
C.The player runs 6 meters forward, and then runs 5 meters in the opposite direction.
D.The player runs 6 meters forward, and then runs O meters in the opposite direction.
Answer:
A.The player runs 5 meters forward, and then runs 5 meters in the opposite direction.
Step-by-step explanation:
A.The player runs 5 meters forward, and then runs 5 meters in the opposite direction.
+5 -5 = 0 they will be at the same place they started
B.The player runs 5 meters forward, and then runs 6 meters in the opposite direction.
+5 -6 = -1 they will be 1 m behind where they started
C.The player runs 6 meters forward, and then runs 5 meters in the opposite direction.
+6 -5 = 1 they will be 1 m in front of where they started
D.The player runs 6 meters forward, and then runs O meters in the opposite direction.
+6 -0 = 6 they will be 6 meters in front of where they started
[tex](5 {y}^{2} + y + 6) + ( {y}^{2} + 11y - 6)[/tex]
solve
Answer:
[tex]6y^2+12y[/tex]
Step-by-step explanation:
[tex]\left(5y^2+y+6\right)+\left(y^2+11y-6\right)[/tex]
remove parentheses
[tex]\left5y^2+y+6\right+\lefty^2+11y-6\right\\[/tex]
add like terms
[tex]6y^2+12y+6-6\\[/tex]
simplify
[tex]6y^2+12y[/tex]
3
Select the correct answer.
In right triangle ABC, 2C is a right angle and sin A = sin B. What is m ZA?
A.
30°
B.
45°
C.
60°
D.
75°
Answer:
b
Step-by-step explanation:
