The expression equivalent to 4^-5 • 3^-5 is 12^-5
What are equivalent expressions?Equivalent expressions are simply known as expressions with the same solution but different arrangement.
Given the index expressions;
4^-5 • 3^-5
Using the exponent rule, the two values are have different bases but the same exponent and thus, we multiply the bases and leave the exponents the same way.
This can be written as;
4(3) ^ -5
expand the bracket
12^-5
Thus, the expression equivalent to 4^-5 • 3^-5 is 12^-5
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Simplify, if x = 2 and y = -1: 3(y + 2)^2 + 3x
Answer:
9
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightStep-by-step explanation:
Step 1: Define
3(y + 2)² + 3x
x = 2
y = -1
Step 2: Evaluate
Substitute: 3(-1 + 2)² + 3(2)Add: 3(1)² + 3(2)Exponents: 3(1) + 3(2)Multiply: 3 + 6Add: 9what’s the mean (average) for the data 12 4 16 20
Answer:
13
Step-by-step explanation:
Add all of the numbers, and divide by the amount of numbers. In this instance, all four added together numbers is 52, and divided by 4 is 13. Hope this helps!
Answer:
The answer is 13.
Step-by-step explanation: In order to find the average in a set of numbers, you must add all numbers and divide them by the numbers of numbers which you have added.
For example for your problem, I added 12 + 4 +16 +20 and I got 52. Then count the numbers which u have added. There are 4 numbers I have added. Then divide that number by the total. So it would be 52/4 and once you divide, you have your answer!
Hope this helps!
If 66 oranges cost $15, how many oranges can be purchased for $5?
Answer:
22 oranges
Step-by-step explanation:
$15 --- 66 oranges
$5 --- [tex]\frac{5}{15}[/tex] × 66 oranges = 22 oranges
Which linear equation represents a non-proportional relationship?
A)
y = 1.5%
B)
y = x + 3
ya
D)
y=-3x
Answer:
Is there an option C?
For a data set of the pulse rates for a sample of adult females, the lowest pulse rate is 37 beats per minute, the mean of the listed pulse rates is x=71.0 beats per minute, and their standard deviation is s=18.2 beats per minute. a. What is the difference between the pulse rate of 37 beats per minute and the mean pulse rate of the females? b. How many standard deviations is that [the difference found in part (a)]? c. Convert the pulse rate of 37 beats per minutes to a z score. d. If we consider pulse rates that convert to z scores between −2 and 2 to be neither significantly low nor significantly high, is the pulse rate of 37 beats per minute significant?
Answer:
See below.
Step-by-step explanation:
(a) Difference = 71 - 37 = 34 beats/minute.
(b) Number of standard deviations = 34 /18.2 = 1.868.
(c) z score = (x - m )/ s where m = mean and s = standard deviation
= (37 - 71) / 18.2 = -1.868.
(d) This z score lies between -2 and 2 so a pulse rate of 37 is not significant.
Write the equation of a line parallel to x = 3 that contains (−4, 5).
Answer:
y=3x+17
Step-by-step explanation:
equation:
y-y¹=m(x-x¹)
substitute with same slope.
y-5=3(x-(-4))
y-5=3x+12
y=3x+17
Write an equation of the line passing through point P(0, -1) that is parallel to the line y = - 2x + 3. y =
Answer:6
-3y= 6 - 2x
Answer:
y=-2x-2
Step-by-step explanation:
Parallel means the same slope from the given slope in the statement.
To find the slope-intercept form equation, you must use the point-slope form which is y-y1=m(x-x1).
The given point (0, -1) includes 0 as the x-intercept and -1 as the y-intercept.
Because parallel is the same slope, the slope we'll insert into our equation is -2.
The point-slope form substituted with the given point and slope looks like the following:
y-(-1)=-2(x-0) which can be simplified to y+2=-2x+0
Solve the simplified equation.
y+2=-2x+0
-2 -2
y=-2x-2
That's the final equation.
Hope this helps.
68, 302 divided by 1,000 equals what?
Answer:
68.302
Step-by-step explanation:
Answer: 68.302
Step-by-step explanation:
Do long division it helps best
Find the exact length of the third side. 95 n 76
Answer:
121.66
Step-by-step explanation:
To solve, use the Pythagorean Theorem, which says c² = a² + b². Enter 95 as a and 76 as b and square them both. This will give you 9025 for a, and 5776 as b. Add them to get 14,801. So, c² = 14,801. Find the square root of this to get approximately 121.66. So, the third side is about 121.66 in length.
∠A and \angle B∠B are supplementary angles. If m\angle A=(7x+10)^{\circ}∠A=(7x+10) ∘ and m\angle B=(7x-26)^{\circ}∠B=(7x−26) ∘ , then find the measure of \angle A∠A.
Answer:
108 degrees
Step-by-step explanation:
Since angles A and B are supplementary, they both add up to 180. Angle A = 7x+10, and angle B = 7x-26. You can set up the equation A + B = 180, and then plug in angles A and B, which gives you 7x+10 + 7x-26 = 180. Then you just need to isolate x:
Combine like terms: 14x - 16 = 180
Add 16 to both sides: 14x = 196
Divide both sides by 14: x = 14
Now that you know x, you can plug it into the expression for angle A (7x+10):
A = 7(14) + 10 = 98+10 = 108
HELP HELP HELP FAST PLS PLS
Marc sold 500 tickets for the school play. Student tickets cost $2 and adult tickets cost $5. Marc's sales totaled $1,789. a) Write a system of equations that can be used to determine how many of each type of ticket Marc sold b) Solve the system to determine how many adult tickets and how many student tickets Marc sold.
Answer:
a) System of equations will be: [tex]x+y=500\: and\:5x+2y=1789[/tex]
b) Number of adult tickets sold = 263
Number of students tickets sold = 237
Step-by-step explanation:
Let:
Number of adult tickets sold = x
Number of students tickets sold = y
a)
As Marc sold total 500 tickets, the expression will be: [tex]x+y=500[/tex]
Student tickets cost $2 and adult tickets cost $5. Marc's sales totalled $1,789.
The expression will be: [tex]5x+2y=1789[/tex]
So, system of equations will be: [tex]x+y=500\: and\:5x+2y=1789[/tex]
b)
Solve the system to find value of x and y
Let:
[tex]x+y=500--eq(1)\\5x+2y=1789--eq(2)[/tex]
Multiply equation 1 by 2 and subtract
[tex]2x+2y=1000\\5x+2y=1789\\-\:\:\:-\:\:\:\:\:\:\:\:\:-\\------\\-3x=-789\\x=\frac{-789}{-3}\\x=263[/tex]
We get value of x = 263
Now finding value of y by putting value of x in eq(1)
[tex]x+y=500\\263+y=500\\y=500-263\\y=237[/tex]
We get value of y = 237
Number of adult tickets sold = x = 263
Number of students tickets sold = y = 237
4. State what additional information is required in order to know that the triangles are congruent by the SSS Triangle Congruence Postulate
The additional information required to prove the SSS Triangle Congruence Postulate is BC = KC
How to state the additional information required?The congruence postulate is given as:
SSS Triangle Congruence Postulate
The above means that the three sides of the triangles are congruent.
From the figure, the following side lengths are said to be congruent
AK and AB
AC and AC
For the congruence postulate of the triangle to be SSS Triangle Congruence Postulate, then the third corresponding sides must be congruent
This is represented as:
BC = KC
Hence, the additional information required to prove the SSS Triangle Congruence Postulate is BC = KC
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If a line has a slope of -3/8, what is the slope of any line perpendicular to that line?
Answer:
The slope of they line is 8/3 = 4
Step-by-step explanation:
When two lines are perpendicular, the product of the slope of the lines is -1
Thus, we have that;
-3/8 * m = -1
3m/8 = 1
3m = 8
m = 8/3
PLS HELP ME!!!!!! !!!!!!!!!!!!!”
its D
Solution:
[tex] \sqrt{60 } = \sqrt{4 \times 15} = \sqrt{4 } \times \sqrt{15} = 2 \sqrt{15 \: } \: ans[/tex]What is the angle relationship between the House and Bank? And is the relationship Congruent or Supplementary?
Answer:
congruent
Step-by-step explanation:
In geometry, two figures or objects are congruent if they have the same shape and size, or if one has the same shape and size as the mirror image of the other.
so yes, they are congruent because they have the same angle
What percent of 65 is 13?
Answer:
Convert the fraction to a decimal, then multiply by
100 .20%
Step-by-step explanation:
Can someone please help me with proofs
2) AE is congruent to ED, BE is congruent to ED (a bisector splits a segment into two congruent parts)
3) Angle AEB is congruent to angle DEC (vertical angles are congruent)
4) Triangle ABE is congruent to triangle CDE (SAS)
Please help 11 points worth
Answer:
positive
cuz i just know :)
good luck
The LCM of 4, 9, and 10 is _______.
36
180
40
90
Answer:
180
Step-by-step explanation:
Multiples of 4:
4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48, 52, 56, 60, 64, 68, 72, 76, 80, 84, 88, 92, 96, 100, 104, 108, 112, 116, 120, 124, 128, 132, 136, 140, 144, 148, 152, 156, 160, 164, 168, 172, 176, 180, 184, 188
Multiples of 9:
9, 18, 27, 36, 45, 54, 63, 72, 81, 90, 99, 108, 117, 126, 135, 144, 153, 162, 171, 180, 189, 198
Multiples of 10:
10, 20, 30, 40, 50, 60, 70, 80, 90, 100, 110, 120, 130, 140, 150, 160, 170, 180, 190, 200
Stay safe and Merry Christmas! :)
Answer:
the answer is 180
Step-by-step explanation:
The empirical rule states that, for data having a bell-shaped distribution, the percentage of data values being within one standard deviation of the mean is approximately.
Answer:
empirical rule: about 68% of the data is within 1 standard deviation of the mean.
Step-by-step explanation:
in this previous problom,ken predicted a drop in temperture would lead to adding a negitive integer
Answer:
WOAH COOL
Step-by-step explanation:
The equation 6x = 3y -12 is linear
True or False
Answer:
True :D .....................
A performing arts theater offers a group rate om season passes of $70 total for the first two passes plus $25 for each additional pass. what is the cost of 8 season passes at the group rate?
Answer:
$220.00
Step-by-step explanation:
$70 dollars for 2
$25x6
$70+$150=$220.00
How to identify the VA and HA in an equation?
Two brothers went shopping at a back to school sale where all shirts and shorts were the same price. The younger brother spent $145 on 7 new shirts and 7 pairs of shorts. The older brother purchased 6 new shirts and and 7 pairs of shorts and paid a total of $125 How much did one shirt cost?
(−7.4 )+ L = 9.11
What is L ?
L = 16.51
Get variable onto one side of equation and simplify:
(−7.4 )+ L = 9.11
L = 9.11 + 7.4
L = 16.51
Answer:
L=16.51
Step-by-step explanation:
-7.4 +L=9.11 remove unnecessary ( )
L=9.11 +7.4 move constant (7.4) to the right change sign
L=16.51 add the numbers
Dina can run 4 miles in 30 minutes. If she maintains this pace, how many miles can she run in 90 minutes?
Answer choices
A. 12
B. 16
C. 8
D. 15
Answer:
15minutes / 2miles = 7.5 minutes to run a single mile.
7.5minutes * 5miles = 37.5minutes
37.5minutes to run 5 miles
Step-by-step explanation:
Answer:
A. 12
Step-by-step explanation:
Set up a proportion: [tex]\frac{4}{30} = \frac{x}{90}[/tex] Cross multiply, then divide: 4 × 90 = 360, 360 ÷ 30 = 12So, Dina can run 12 miles in 90 minutesI hope this helps!
Solve the following equation for D. Be sure to take into account whether a letter is capitalized or not. fD - 7 = q^2
Answer:
[tex]\displaystyle D=\frac{q^2+7}{f}[/tex]
Step-by-step explanation:
Equation Solving
We are given the equation:
[tex]fD - 7 = q^2[/tex]
It's required to solve the equation for D. All letters must preserve their capitalization.
We must isolate the letter D by removing from the left side all the terms and coefficients that surround it.
Adding 7:
[tex]fD = q^2+7[/tex]
Dividing by f:
[tex]\mathbf{\displaystyle D=\frac{q^2+7}{f}}[/tex]
What is 22 lb day in oz h?
Answer:
352 OZ
Step-by-step explanation:
One pound = 16 OZ
take 22 and multiply it by 16
22 x 16 = 352
Answer:
15 ounces per hour
Step-by-step explanation:
This is dimensional analysis, so we need to find conversion factors for ounces per pound and hours per day. Once we have those we write the equation such that the units we need are left and the others cancel:
22lb/1 day x 16 ounces/1 lb x 1 day/24hrs = 14.66666666666 ounces per hour
Since the problem was written with no decimals, our answer probably shouldn't either and in most cases like this we want to round to the nearest whole number, which is 15.
Explain what the differences between an arithmetic and geometric sequence are? IN FULL SENTENCES. *
Answer:
An arithmetic sequence has a constant difference between each term. ... A geometric sequence has a constant ratio (multiplier) between each term. An example is: 2,4,8,16,32,… So to find the next term in the sequence we would multiply the previous term by 2.
Step-by-step explanation:
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