Answer:
The answer is
[tex] {8.y}^{12} [/tex]Step-by-step explanation:
(2y⁴)³
Using the rules of indices
That's
[tex]( {ax})^{b} = {a}^{b} . {x}^{b} [/tex]So for the above expression we have
[tex]( {2y^{4} })^{3} = {2}^{3} . {y}^{4 \times 3} [/tex]Simplify
We have the final answer as
8.y¹²Hope this helps you
In ΔABC, if m∠CAD = 29°, the m∠DAB is
Answer:
Angle DAB is 29°.
Step-by-step explanation:
The lines in the two angles show that they are equal.
So angle DAB is equal to angle CAD.
m∠DAB is 29°
Given:
m∠CAD = 29°
From the image given showing ΔABC, the two angles, ∠CAD and ∠DAB are congruent to each other. This is indicated in the diagram with each single stroke on each angle.
Congruent angles are equal to each other.
∠CAD and ∠DAB are congruent angles.
Thus,
m∠CAD = m∠DAB = 29°
Therefore, m∠DAB is 29°
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When bisecting a line segment, why must you find the intersection points of the arcs both above and below the line segment?
(1 point
The intersection point above the line segment overestimates the midpoint, while the intersection point below the line segment
underestimates the midpoint
Only one intersection point is needed to find the midpoint, but finding both points allows you to check your work
Finding both intersection points helps if the line segment is not completely vertical or horizontal
Ite
To make sure that you get a straight ine to bisect the line segment
Answer:
To make sure that you get a straight line to bisect the line segment
Step-by-step explanation:
Answer:
The last option.
Step-by-step explanation:
You get a straight line that passes through the midpoint.
7is subtracted from the quotient of 48 divided by th
e sum of 5 & difference of 11 and 8
Answer:
7-48=41
÷
5+11-8
bodmas
5+3=8
41÷8=5.125
Answer:
-1
Step-by-step explanation:
48/(5+(11-8) -7
48/(5+3) -7
48/8 -7
6-7
-1
i hope it helped you. i tried you help you
I need help. I don’t understand what I have to do
Answer:
Hey there!
3x-5+2x+2+3x+5
3x+2x+3x-5+2+5
8x+2=90
8x=88
x=11
Let me know if this helps :)
Step-by-step explanation:
Hey, there!!
Let's simply work with it,
MA is perpendicular to AT.
To find: angle HAT.
Now,
angle HAT + (2x + 2)° + (3x + 5)° = 90° { As MA perpendicular to AT. }
Now,
Replace angle HAT by (3x - 5)°.
(3x-5)° + (2x+2)° + (3x+5)° = 90°
Open brackets,
3x - 5° + 2x + 2° + 3x + 5° = 90°
Add like terms.
8x + 2°= 90°
8x = 90°-2°
[tex]x = \frac{88°}{8} [/tex]
x= 11°.
Now, finding the value of angle HAT.
(3x-5)° = 3×11°-5°
Therefore, angle HAT is 28°.
Hope it helps...
Valerie is the building manager for the cowardly enterprise office building One of her responsibilities is cleaning the office buildings 200 gallon aquarium for cleaning she must remove the fish from the aquarium in drain the water the water drain a constant rate of 10 gallons per minute what is the independent and dependent variables
Answer:
The independent variable = The volume of water in the aquarium
The dependent variable = The time it will take to drain the aquarium
Step-by-step explanation:
The independent variable, as indicated in the name is the variable that is not influenced by other variables but can predetermine its own self and it is not altered by the other variables being analysed
Therefore, the independent variable is the water in the 200 gallon aquarium
The dependent variable, is the tested or measured variable and is dependent on the independent variable, which is the time it takes to drain the 200 gallon aquarium.
When converting θ = π/3 to a Cartesian equation, let x = ____
1/2 r
√2/2 r
√3/2 r
The equations
[tex]x = r*\cos(\theta)\\\\y = r*\sin(\theta)[/tex]
are useful to convert from polar to Cartesian
So,
[tex]x = r*\cos(\theta)\\\\x = r*\cos\left(\frac{\pi}{3}\right)\\\\x = r*\frac{1}{2} \ \text{ use unit circle} \\\\x = \frac{1}{2}r[/tex]
Answer: Choice AWhich statement about the stamps is correct?
Karl has stamps in his desk drawer. The possible
combinations of stamps are shown below.
Karl's Stamp Collection
The total number of stamps is 25.
The total value of the stamps is $18.75.
The total number of stamps is 35.
The total value of the stamps is $19.15.
Number of
Number of
45-cent stamps 65-cent stamps
18
17
2015
22
13
10
25
Answer: C.) The total number of stamps is 35.
Step-by-step explanation:
Given the table :
No of 45-cent stamp - - - No of 65-cent stamp
- - - - - - - 18 - - - - - - - - - - - - - - 17
- - - - - - - 20 - - - - - - - - - - - - - - - 15
- - - - - - 22 - - - - - - - - - - - - - - 13
- - - - - - 10 - - - - - - - - - - - - - - - - 25
Verifying each option stated :
Total value of stamp:
Each row add up to 35. Example (18 + 17) = 35
(20 + 15) = 35
(22 + 13) =35
(10 + 25) = 35
Total value of stamp:
Using the first row:
45 cent = $0.45 ; 65 cent = $0.65
(10 * 0.45) + (25 * 0.65)
= $4.5 + $16.25 = $20.75
Not all rows add up to $19.15
Answer:
Your answer is C
Step-by-step explanation:
In the equation 18/2 = 9, nine is the:
Answer:
Quotient.
Step-by-step explanation:
You get a quotient by dividing something. It is the end result, the solution.
Answer: quotient
Step-by-step explanation: The answer to a division
problem is called the quotient.
So here we say the quotient of 18/2 is 9.
3x=9 divide each side by 3 x=3
Answer:
3
Step-by-step explanation:
3x=9
3(3)=9
3/3=0=9/3=3
answer=3
If the discriminant of a quadratic equation is 4 which statement describes the roots.
Answer:
2 real roots
Step-by-step explanation:
If the discriminant is >0 then the equation has 2 real roots
If the discriminant is =0 then the equation has 1 real roots
If the discriminant is <0 then the equation has 2 complex roots
since the discriminant is 4, it has 2 real roots
Answer:
It will have 2 real roots
Step-by-step explanation:
4>0 :)
what is 7/2 as a mixed number
Hello! :)
Answer:
[tex]\huge\boxed{3\frac{1}{2}}[/tex]
[tex]\frac{7}{2}[/tex] as a mixed number:
Divide 2 from 7 and find the remainder:
7 ÷ 2 = 3 R 1.
An improper fraction in mixed form has the quotient as the coefficient, and the remainder over the fraction. Therefore:
[tex]\frac{7}{2} = 3\frac{1}{2}[/tex]
Answer:
[tex]3\frac{1}{2}[/tex]
Step-by-step explanation:
Step 1: Define mixed fraction
A mixed fraction is a number with a whole number and a fraction together
Step 2: Find mixed fraction
Ask how many time can 2 completely fit into 7 without leaving anything left over, 2 fits in 7 3 times because 2 x 3 = 6 and 7 - 6 is 1. We put 3 in front of the fraction and we keep the 1 left over in the numerator of the fraction with 2 as the denominator to get [tex]3\frac{1}{2}[/tex]
Given: 5x – 21 = 24
Prove: X = 9
list the statements
Ali's heart beats 320 times in 4 minutes. How many beats per minute is that?
Answer:
90 beats per minute
Step-by-step explanation:
320 divided by 4 is 90, which would mean that there is 90 beats per minute
Answer: the answer is 64 beats.
Step-by-step explanation:
Match the following values as a A) discrete random variable, B) continuous random variable, or C) not a random variable: Exact weight of quarters now in circulation in the United States ________ Shoe sizes of humans ________ Political party affiliations of adults in the United States ________
Answer:
Exact weight of quarters now in circulation in the United States (continuous random variable )
Shoe sizes of humans (discrete random variable)
Political party affiliations of adults in the United States ( random variable)
Step-by-step explanation:
continuous random variable: this is a random experiment where the data usually assume an infinite mode. meaning it is continuous.
discrete random variable: this is the assigning of values based on the outcome of a radom experiment.
random variable: a random variable is a set of possible outcomes from a random experiment
To estimate the percentage of defects in a recent manufacturing batch, a quality control manager at selects every th that comes off the assembly line starting with the until she obtains a sample of . What type of sampling is used? A. Systematic B. Stratified C. Convenience D. Simple random E. Cluster
Answer: systemic
Step-by-step explanation:
The measures of two angles of a triangle are 49° and 75°. Find the measure of the third angle in degrees.
a natural number is ____ a rational number
The Rational numbers ( Q ) include the Natural numbers ( N ):
A natural number is always a rational number.
:)
What is the actual distance of 9 cm on a map whose scale shows that 3 cm = 5 km? A. 18 km incorrect answer B. 12 km incorrect answer C. 21 km incorrect answer D. 15 km
Answer:
15 km
Step-by-step explanation:
3 cm on the map = 5 km
3 x 3 = 9 cm
5 x 3 = 15 km
So, 9 cm on the map = 15 km
Answer:
D. 15 km
Step-by-step explanation:
The graph below is a portion of the complete graph. On a separate sheet of paper sketch the complete graph assuming it is symmetric with respect to the x-axis. Then list 3 points from the new part of the graph that you sketched.
Answer:
(-1, -3), (-2, -5), (-5, -8),(-8, -5), (-9, -3)
Step-by-step explanation:
These are the options of points to pic from. :)
have a good day.
At a corner bakery, 6 croissants and 3 cups of coffee costs $25.95. An order of croissants and 6 cups of coffee costs $26.70. What is the cost of an order of 1 croissants and 1 cup of coffee?
Answer:
$6.36
Step-by-step explanation:
this is a system of equations problem. There are two main methods for this type of problem: elimination and substitution(I used both here). A-croissants, B-coffee.
The cost of an order of 1 croissant is $2.3 and 1 cup of coffee is $4.05.
We need to form the system of equations for the given statement.
What is the system of equations?In mathematics, a set of simultaneous equations, also known as a system of equations or an equation system, is a finite set of equations for which common solutions are sought.
Let the cost of croissants be x and the cost of cups of coffee be y.
6 croissants and 3 cups of coffee costs $25.95
6x+3y=25.95-----(1)
1 croissant and 6 cups of coffee cost $26.70
x+6y=26.70-----(2)
(6x+3y)6=25.95×6
⇒36x+18y=155.7-----(3)
(x+6y)3=26.70×3
⇒3x+18y=80.1-----(4)
Subtract (4) from (3).
That is, 36x+18y-(3x+18y)=155.7-80.1
⇒33x=75.6
⇒x=2.3
Substitute x=2.3 in equation (1).
That is, 6(2.3)+3y=25.95
⇒3y=12.15
⇒y=4.05
Therefore, the cost of an order of 1 croissant is $2.3 and 1 cup of coffee is $4.05.
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(9)(-4)(6)
please help!
Answer:
-216
Step-by-step explanation:
6*9= 54
54* (-4) = -216
please help me!!!!!
Answer: 194
Step-by-step explanation:
1. Square both sides to get (b+2)=14^2=196
2. Subtract 2 from both sides to get b=194
What is the perimeter of the parallelogram?
Answer: 36
Step-by-step explanation:
The top and bottom of the parallelogram both have lengths of 8.
To determine the length of the parallel diagonal sides, form a right triangle using the left side of the parallelogram as its hypotenuse (in red in my diagram below).
The right triangle has legs of length 6 and 8, so the length of the hypotenuse (c) is:
6^2 + 8^2 = c^2
36 + 64 = c^2
100 = c^2
c = 10
Thus the two diagonal sides of the parallelogram must both have a length of 10, so the perimeter of the parallelogram is 8 + 10 + 8 + 10 = 36.
Stacy milk to make pancake batter. The recipe calls for 3/4 of jug of She 1/4 a jug How much more milk does she need?
Answer:
More milk does she need = 1 / 2 jug
Step-by-step explanation:
Given:
Recipe call milk = 3/4 jug
Stacy had = 1/4 jug
Find:
More milk does she need
Computation:
More milk does she need = 3/4 - 1/4
More milk does she need = (3 - 1) / 4
More milk does she need = 2 / 4
More milk does she need = 1 / 2 jug
The central angle of sector R is 38° and the central angle of sector Q is 39°. What is the probability that the spinner does not land on Q or R? P Q R S T U
Answer: 0.786
Step-by-step explanation:
Here i would assume that:
Sector R and Sector Q do not have any sections in common.
Then, the probability that the spinner does not land on Q or R, is equal to the probability where the spinner does not land in a specified section of:
38° + 39° = 77°.
Now, the total section off the spinner is 360°.
If we remove those 77°, we have a section of:
360° - 77° = 283°
So we have 283° where the spinner CAN land on.
Then the probability that the spinner does NOT land on R or Q is equal to the quotient between the section of the spinner that is not R or Q, and the total section of the spinner"
P = 283/360 = 0.786
So the probability is 0.786
A is the midpoint of LB, LB = 6x - 17 and AB = 2x + 3
the density of concentrated sulphuric acid is 1.8 g/cm.calculate the volume of 3.1 kg of the acid
Step-by-step explanation:
[tex]density = \frac{mass}{volume} \\ volume = \frac{mass}{density} \\ changing \: 1.8 {gcm}^{ - 3} to \: {kgm}^{ - 3} \\ multiply \: by \: 1000 \\ = 1800 {kgm}^{ - 3} \\ volume = \frac{3.1}{1800} \\ = 0.00172 {m}^{ 3} [/tex]
The volume of 3.1 kg of concentrated sulfuric acid is 1722.22 [tex]cm^{3}[/tex].
Here's the solution:
The density of concentrated sulfuric acid is 1.8 g/[tex]cm^{3}[/tex]. This means that 1.8 grams of concentrated sulfuric acid will occupy 1 cubic centimeter of space.
If we have 3.1 kg of concentrated sulfuric acid, then we have 3100 grams of concentrated sulfuric acid.
The volume of this amount of concentrated sulfuric acid will be:
volume = mass / density
volume = 3100 g / 1.8 g/[tex]cm^{3}[/tex]
volume = 1722.22 [tex]cm^{3}[/tex]
Therefore, the volume of 3.1 kg of concentrated sulfuric acid is 1722.2[tex]cm^{3}[/tex]
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Is the number, 0.692, rational or irrational?
Answer: It is rational because it can be converted to a fraction since it terminates.
Step-by-step explanation:
As
0.692 is rational because it can be a fraction; 173/250 or 692/1,000
♡ Hope this helps! ♡
❀ 0ranges ❀
Solve the inequality –7x > 21. What is the graph of the solution?
Answer: X
Step-by-step explanation:
Answer:
x < -3
Step-by-step explanation:
–7x > 21
divide each side by -7, remembering to flip the inequality
-7x/-7 < 21/-7
x < -3
open circle at -3, line going to the left
The parabola $y = ax^2 + bx + c$ is graphed below. Find $a+b+c$. (The grid lines are one unit apart.)
If [tex]x=0[/tex], then [tex]y=a\cdot0^2+b\cdot0+c=5[/tex], so [tex]c=5[/tex].
If [tex]x=1[/tex], then [tex]y=a\cdot1^2+b\cdot1+c=2[/tex], so [tex]a+b+5=2[/tex] or [tex]a+b=-3[/tex].
If [tex]x=2[/tex], then [tex]y=a\cdot2^2+b\cdot2+c=1[/tex], so [tex]4a+2b+5=1[/tex] or [tex]2a+b=-2[/tex].
We have
[tex]a+b=-3\implies -a-b=3[/tex]
[tex](2a+b)+(-a-b)=-2+3[/tex]
[tex]\implies a=1\implies b=-4[/tex]
So we end up with
[tex]a+b+c=1+(-4)+5=\boxed{2}[/tex]