Step-by-step explanation:
[tex]2 {}^{x} = a {}^{ \frac{x}{12} } [/tex]
[tex]2 {}^{x} = a {}^{ \frac{1}{12} \times x} [/tex]
[tex]2 = a {}^{ \frac{1}{12} } [/tex]
[tex] ln(2) = \frac{1}{12} \times ln(a) [/tex]
[tex]12 ln(2) = ln(a) [/tex]
[tex]e {}^{12 ln(2) } = e {}^{ ln(a) } [/tex]
[tex]2 {}^{12} = a[/tex]
Answer:
D) 2^12
Step-by-step explanation:
It’s correct on Khan academy
William writes a function
f(x)=−2x−10
. He uses an input-output table to represent the function.
What is the output of William’s function when the input is
−6?
Answer:
2
Step-by-step explanation:
f(-6) = -2(-6) - 10
f(-6) = 12 - 10
f(-6) = 2
Which algebraic rule describes the reflection of quadrilateral HIJK to
quadrilateral HT'J'K?
Answer:
B
Step-by-step explanation:
under a reflection in the y- axis
a point (x, y ) → (- x, y )
H'I'J'K' is a reflection of HIJK in the y- axis , then algebraic rule is
(x, y ) → (- x, y )
Answer:
B
Step-by-step explanation:
For one particular homeroom, the typical ratio of students absent to students present is 1 : 14. One day, students from this same homeroom miss school to compete in a math competition. On that day, there are 22 students in class and the ratio of students absent to students present is 4 : 11. How many students are absent on a typical day for this homeroom?
Answer:
i THINK 43% but im not for sure
Step-by-step explanation:
14% of 50 is 7
so 50-7=43
43(percent there)+7(percent gone)=50 (number of students)
SO 43% is still there.
i hope this work for you
and SORRY if im wrong
Which set of side lengths would create a unique triangle?
a. 4 cm, 8 cm, 4 cm
b. 12 in, 8 in, 15 in
c. 2 ft, 9 ft, 12 ft
d. All of the above
Answer:
the set of side length would be 4cm, 8cm,4cm
If a ∥ b and m∠1 = 65°, what is m∠2?
Answer:
65 degrees
Step-by-step explanation:
the angles are corresponding, and corresponding angles always have the same angle measures
If a ∥ b and m∠1 = 65°, The measure of m∠2 will be 65°.
What is an angle?When two lines or rays converge at the same point, the measurement between them is called an "Angle." when a transverse line crosses two straight lines, corresponding angles are formed.
When two lines are crossed by a third line, these angles are generated at equivalent corners or corners corresponding to the transversal.
It is given that, a ∥ b and m∠1 = 65.
If the transversal meets two parallel lines, the corresponding angles theory asserts that the corresponding angles are congruent. In other words, the angles formed when a transversal crosses two parallel lines will always be equal.
Since corresponding angles always have the same angle measures, the angles are said to be corresponding.
As a result,
m∠1 =m∠2
m∠1 = 65°
m∠2=65°
Thus, if a ∥ b and m∠1 = 65°, The measure of m∠2 will be 65°.
Learn more about the angle here:
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Krystal Ball's pulse rate is 30% higher than its normal rate of 70bpm. What is her pulse rate? After
lying down it decreased 20%. What is her heart rate now?
Starting bpm = 91
Resting bpm = 72.8
=========================================================
Explanation:
A 30% increase is represented by the multiplier 1.30 because
100% + 30% = 1.00 + 0.30 = 1.30
So Krystal's initial heart rate is 1.30*70 = 91 bpm.
If you wanted, you can think of it like this
30% of 70 = 0.30*70 = 21 is added onto the initial 70 bpm to get 70+21 = 91 bpm.
-----------
To decrease by 20%, we use the multiplier 0.80 since
100% - 20% = 1.00 - 0.20 = 0.80
Losing 20% of something means we keep the remaining 80%
So,
80% of 91 = 0.80*91 = 72.8 bpm.
-----------
Here's one way to find the final bpm in one single line
1.30*0.80*70 = 72.8
in which you could write it like this
(1 + 0.30)*(1 - 0.20)*(70) = 72.8
The second way may be a bit longer, but I find it's more descriptive to see where the percentage increases vs percentage decreases are.
Find the value of x. (8x-1)° (4x+7)°
Answer:
X = -1/2 or X = 0.50
Step-by-step explanation:
8x - 1 + 4x + 7
Combine like terms
12x + 6 = 0
Isolate X
12x + 6 = 0
- 6 = 0
12x = -6
12x/12 = -6/12
X = -1/2
Hope this helps :)
Melissa practiceted piano for 5/6 of an hour. On Monday and 8/9 of an hour on Tuesday. How many more minutes did she practice on Tuesday compared to monday
Answer:
24 hrs
Step-by-step explanation:
99594iu58
The number of minutes that she practiced on Tuesday compared to Monday will be 103 minutes.
What is Algebra?The analysis of mathematical representations is algebra, and the handling of those symbols is logic.
PEMDAS rule means the Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to solve the equation in a proper and correct manner.
Melissa practiced piano for 5/6 of an hour on Monday and 8/9 of an hour on Tuesday.
The number of minutes that she practiced on Tuesday compared to Monday will be
⇒ (5/6) + (8/9)
⇒ 31/18
⇒ 103 minutes
The number of minutes that she practiced on Tuesday compared to Monday will be 103 minutes.
More about the Algebra link is given below.
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Terry calculates how much wood he needs to build the desk shown in the diagram . He says the area is 600ft2
What error did terry make
Find the correct area and explain your answer
Answer:
He forgot to multiply by 1/2 when finding the area of the above triangle.
Now we find the correct area;
A = BH x 1/2 (formula for finding area of triangle)
A = 10 x 24 x 1/2
A = 240 x 1/2
A = 240/2
A = 120
Now the rectangle's formula which is just (W x L) where "w" is the width and "l" is the length;
A = W x L
A = 24 x 15
A = 360
Now we add both the sums of the two areas:
120 + 360 = 480 square feet, the information provided here is your explanation.
please help me find mo
Answer:
MO = 25
Step-by-step explanation:
Point O between parallel lines PQ and MN divides segment PM in the same proportion that it divides segment QN.
MO/OP = NO/OQ
MO/20 = 20/16 . . . . . . use the given numbers
MO = 20(20/16) . . . . . multiply by 20
MO = 25
(1/2x +7)²
EXPAND IT PLEASE
Answer:
1/4x^2 + 7x + 49
Step-by-step explanation:
Use binomial theorem (a + b)^2 = a^2 + 2ab + b^2 to expand (1/2x + 7)^2
whats 4/9 divided by 3/7 equal
Answer:
1.03703703704
Step-by-step explanation:
i d k if this is what ur looking for but hope this helped :)
Identify the exponent and the base in the expression 6^12
Given parameters:
Expression;
6¹²
Identify the exponent and the base in the expression;
6¹²
An exponent is a power to which a number or variable is raised.
Generally, it signifies the number of times a number should be repeatedly multiplied.
The base is the number that is being multiplied.
So, in this problem, exponent is 12 and base is 6.
evaluate 7-(-19)-18+(-19)+18
Answer:
The answer is 7
Step-by-step explanation:
7-(-19)=26
26-18=8
8+(-19)=(-11)
-11+18=7
HELPPP FOR BRAINLEST!!!
Block Y has the smallest acceleration
write the equation of the line that passes through the point (0, 3) and is perpendicular.
please help me solve this :)
Answer:
y = 2x + 3
Step-by-step explanation:
to find the perpendicular line then you have to find the negative reciprocal which is 2 and to get that you flip the fraction and change the sign so
(-1/2) → 2/1 or 2
the y-intercept coordinate is (0, 3) so the y-intercept is 3
Slope of the Perpendicular line=2
passes through (0,3)Equation of line in point slope form
[tex]\\ \rm\Rrightarrow y-3=2x[/tex]
[tex]\\ \rm\Rrightarrow y=2x+3[/tex]
After a successful Friday night at the local BDubs, 92% of the daily allocated wings were sold to restaurant-goers. The kitchen staff was a bit upset because that meant there were only 96 wings left between them to take home at the end of night. How many wings did BDubs start off with that night?
Answer:
88
Step-by-step explanation:
92% = 0.92
0.92(96) = 88.32
88 is rounded to the nearest wing
Mary sells fruit with four of her friends If the earnings are divided evenly how much must the business make in order for each person to earn 30?
In a case whereby Mary sells fruit with four of her friends If the earnings are divided evenly the amount they must make in order for each person to earn 30 is 150.
How can the earningbe calculated?Since 4 of them wereinto the business aimimg to share the profit in erqual amount then the business should make [30*(1+4) ]= (30*5 )= 150 dollars total earnings.
Therefore, If the profits from selling fruit with Mary's four friends are divided equally, they will need to make 150 in order for each individual to make $30.
Learn more about selling at:
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Answer:
150
Step-by-step explanation:
You have to find the total number of fruits so multiply 30 by 4. However, Mary is included too so add another 30
what's the perimeter of this triangle
Answer: 60
Step-by-step explanation: if you count the length and the width and multiply them you will get your answer, i did 15 (amount of units going down) and 8 (amount of unites going sideways) and multiplied them, 15 x 8 = 120 then half of that is 60
Analyze each situation. Identify a reasonable domain and range for each situation. Explain.
a. A bowler pays $2.75 per game.
b. A car travels 25 miles using 1 gallon of gas.
Answer: A The domain is all positive integers, because the bowler could not play a fractional or negative number of games.
The range is multiples of 2.75.
B The domain is all positive real numbers, since a portion of a gallon of gas could be used.
The range is all positive real numbers.
what are the answers to all of these
Answer/Step-by-step explanation:
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
[tex]\frac{1}{3}\times\frac{2}{4}[/tex]
[tex]\mathrm{Cancel\:the\:numbers:}\:\frac{2}{4}=\frac{1}{2}[/tex]
[tex]=\frac{1}{3}\cdot \frac{1}{2}[/tex]
[tex]\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{a}{b}\cdot \frac{c}{d}=\frac{a\:\cdot \:c}{b\:\cdot \:d}[/tex]
[tex]=\frac{1\cdot \:1}{3\cdot \:2}[/tex]
[tex]\mathrm{Multiply\:the\:numbers:}\:1\cdot \:1=1[/tex]
[tex]=\frac{1}{3\cdot \:2}[/tex]
[tex]\mathrm{Multiply\:the\:numbers:}\:3\cdot \:2=6[/tex]
[tex]=\frac{1}{6}[/tex]
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
[tex]\frac{1}{6}\times\frac{4}{9}[/tex]
[tex]\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{a}{b}\cdot \frac{c}{d}=\frac{a\:\cdot \:c}{b\:\cdot \:d}[/tex]
[tex]=\frac{1\cdot \:4}{6\cdot \:9}[/tex]
[tex]\mathrm{Multiply\:the\:numbers:}\:1\cdot \:4=4[/tex]
[tex]=\frac{4}{6\cdot \:9}[/tex]
[tex]\mathrm{Factor\:the\:number:\:}\:4=2\cdot \:2[/tex]
[tex]=\frac{2\cdot \:2}{6\cdot \:9}[/tex]
[tex]\mathrm{Factor\:the\:number:\:}\:6=2\cdot \:3[/tex]
[tex]=\frac{2\cdot \:2}{2\cdot \:3\cdot \:9}[/tex]
[tex]\mathrm{Cancel\:the\:common\:factor:}\:2[/tex]
[tex]=\frac{2}{3\cdot \:9}[/tex]
[tex]\mathrm{Multiply\:the\:numbers:}\:3\cdot \:9=27[/tex]
[tex]=\frac{2}{27}[/tex]
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
[tex]\frac{2}{3}\times\frac{7}{8}[/tex]
[tex]\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{a}{b}\cdot \frac{c}{d}=\frac{a\:\cdot \:c}{b\:\cdot \:d}[/tex]
[tex]=\frac{2\cdot \:7}{3\cdot \:8}[/tex]
[tex]\mathrm{Factor\:the\:number:\:}\:8=2\cdot \:4[/tex]
[tex]=\frac{2\cdot \:7}{3\cdot \:2\cdot \:4}[/tex]
[tex]\mathrm{Cancel\:the\:common\:factor:}\:2[/tex]
[tex]=\frac{7}{3\cdot \:4}[/tex]
[tex]\mathrm{Multiply\:the\:numbers:}\:3\cdot \:4=12[/tex]
[tex]=\frac{7}{12}[/tex]
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
[tex]\frac{2}4\times\frac{2}{5}[/tex]
[tex]\mathrm{Cancel\:the\:numbers:}\:\frac{2}{4}=\frac{1}{2}[/tex]
[tex]=\frac{1}{2}\cdot \frac{2}{5}[/tex]
[tex]\mathrm{Cross-cancel\:common\:factor:}\:2[/tex]
[tex]=\frac{1}5[/tex]
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Code: 6 2 12 1
~Learn with Lenvy~
100000x444444444444444444
Answer: 4.4444???
Step-by-step explanation:
Answer: 2.65787 × 10²
plz mark brainliest:)
Is (2,-3) a solution to 3x + 7y = 14? Show work.
Answer:
its not a solution
Step-by-step explanation:
substitute the points
3(-2) + 7(-3) = 14
-6 - 21 = 14?
-27 = 14 X
If 596 people voted in the election, how many were over 65 years old?
596 x 25% = 149
This implies 149 persons over the age of 65 voted.
I hope this helps.
Answer:
596 x 25% =149
149 people voted over age 65
A plane intersects a prism to form a cross section that is a polygon with five sides. The minimum number of sides that the polygon at the base of the prism must have is?
Answer:
the base must have a minimum of 3 sides
Step-by-step explanation:
Answer:
It's 3
Step-by-step explanation:
333333333333333333333333333333333333333333333333333333333333333333333333333333
A cellphone company charges a monthly fee of $34.00, plus $0.05 per text message. If you have at most $52 to spend, how many text messages can you send?
Answer:
360 text messages
Step-by-step explanation:
52 - 34 = 18
0.05 = 1 text message
0.05 * 360 = 18$
Hope this helps!
Answer:
52-34=18
18/0.05=360
360 text messages per month
Step-by-step explanation:
There are 3 circles and 12 squares. What is the simplest ratio of circles to squares?
Answer:
1:4
Step-by-step explanation:
3 goes to 12 four times
The price of a sweater was reduced from $20 to $12. By what percentage was the price of the sweater reduced.
▪ Answer:
40%
▪ Step-by-step explanation:
Hi there !
$20 ........ 100%
$12 ..............x %
x = 12×100/20
= 1200/20
= 60%
100% - 60% = 40%
Good luck !
When solving an ______, use inverse operations to undo the operations.
Answer:
equation
Step-by-step explanation:
Inverse operations are used to solve simple algebraic equations to more difficult equations that involve exponents, logarithms, and trigonometry. Mathematically, inverse operations are opposite operations. Addition is the opposite of subtraction; division is the opposite of multiplication, and so on.
[RevyBreeze]
Answer:
equation
Step-by-step explanation:
To isolate the variable, we must reverse the operations acting on the variable. We do this by performing the inverse of each operation on both sides of the equation. Performing the same operation on both sides of an equation does not change the validity of the equation, or the value of the variable that satisfies it.
eight to the power of 2 plus three to the power of 2
Answer: 73
Step-by-step explanation:
8² = 64 3² = 9 64 +9 = 73
8 to the power of 2 means 8 × 8 that is 64
3 to the power of 2 means 3 × 3 that is 9