Answer:
x = 1/2
Step by step explanation:
Two numbers a and b are each greater than zero.
i.e a > 0 and b > 0
And;
[tex] \sqrt{a} \: = \: \sqrt[3]{b} [/tex]
Since the square root of a is equal to cube root of b then,
a = b = 1
[tex] {a}^{2x \: - \: 1} \: = \: b[/tex]
[tex] {1}^{2x \: - \: 1} = {1}^{0} [/tex]
2x - 1 = 0
x = 1/2
Two numbers are 'a' and 'b'.
And a > 0, b > 0
[tex]\sqrt{a}=\sqrt[3]{b}[/tex]
[tex]a^{\frac{1}{2} }=b^{\frac{1}{3}}[/tex]
[tex]a=(b)^{\frac{2}{3} }[/tex]
We have to find the value of [tex]x[/tex] if [tex]a^{2x-1}=b[/tex],
By substituting the value of [tex]a[/tex] in the given expression,
[tex](b^{\frac{2}{3}})^{2x-1}=b[/tex]
Now use the laws of exponents,
[tex]b^{\frac{2}{3}(2x-1)}=b[/tex] [Since, [tex](a^m)^n= a^{mn}[/tex]]
By comparing the exponents on both the sides,
[tex]\frac{2}{3}(2x-1)=1[/tex]
[tex]2(2x-1)=3[/tex]
[tex]4x-2=3[/tex]
[tex]4x=5[/tex]
[tex]x=\frac{5}{4}[/tex]
[tex]x=1.25[/tex]
Learn more,
https://brainly.com/question/219134
When Han makes chocolate milk, he mixes 2 cups of milk with 3 tablespoons of chocolate syrup. Here is a table that shows how to make batches of different sizes. What is the constant of proportionality for this relationship?
your answer would be 1.5
Answer:
The constant of the proportionality for this relationship is tablespoons and chocolate and cups of syrup.
Step-by-step explanation:
can some one read what this says and plz give me the answer tw! - due in 3 min
Answer:
she began to wonder If a fruits size is related to whether it floats or sinks
Step-by-step explanation:
this where the question begins
A researcher is interested in the mean mileage for all school buses in a school district. Forty buses are randomly selected from a computer printout that contains every bus in the district. For each bus they record the name of the school it is used for, mileage, and age. It is calculated that 32.5% of the 40 buses are over 15 years old. With 99% confidence they find that the mean mileage for all school buses in the school district is between 85,261 and 134,890 miles.What is the qualitative variable in this study
Using classification of variables, it is found that the qualitative variable in this study is the name of the school the bus is used for.
-----------------------------
Variables may be classified as quantitative or qualitative.
A variable is quantitative if it assumes numerical values, for example 1,2,3. If it assumes "labels", for example good or bad, it is qualitative.-----------------------------
In this question, the variables are:
School name, which is qualitative.Mileage, which is quantitative.Age, which is quantitative.Thus, the qualitative variable is the school name.
A similar problem is given at https://brainly.com/question/15102143
Job A: $15.00 per hour (40 hours a week)Job B: $1,375 semi-monthly
a. Which job pays more?
b. How much more?
Answer:
Step-by-step explanation:
JOB A: 40*15=600 PER WEEK
600*4=2400 PER MONTH
JOB B; 1375*2=2750 PER MONTH
JOB A PAYS MORE 2750-2400=350.00
WITH 350.00 DOLLARS
Can someone help me (Geometry)
please help me, if you help then thanks!
Answer:
Student 1 and Student 3
Step-by-step explanation:
For student 1: ✔
[tex] {x}^{2} = 64 \\ x = \sqrt{64} \\ x = {}^{ + } 8 \: \: and \: \: {}^{ - } 8[/tex]
For student 2: ❎
[tex] {x}^{3} = 1 \\ x = \sqrt[3]{1} \\ x = {}^{ + } 1[/tex]
For student 3: ✔
[tex] {x}^{2} = 9 \\ x = \sqrt{9} \\ x = {}^{ + } 3 \: \: and \: \: {}^{ - } 3[/tex]
For student 4: ❎
[tex] {x}^{3} = 216 \\ x = \sqrt[3]{216} \\ x = {}^{ + } 6[/tex]
The price per share of a certain stock fell from 31.46 to close at 29.42 find the percent decrease
express 15288 as a product of prime factors
Answer:
The prime factors are: 2 x 2 x 2 x 3 x 7 x 7 x 13
Step-by-step explanation:
73. Find F when C = 30 degrees in the formula F=9/5c+32 degrees
Answer:
f = 86
Step-by-step explanation:
f = 9/5c + 32
~Substitute
f = 9/5(30) + 32
~Simplify
f = 54 + 32
f = 86
Best of Luck!
ill give u brainly if u get the correct answer
Answer:
use synthetic division method
Evaluate(9-3)/2 plz help
Answer:
3
Step-by-step explanation:
9 - 3 = 6
[tex]\frac{6}{2}[/tex]
2 goes into 6 three times therefore the answer is 3.
If this helped, brainliest would be appreciated :)
Answer:3
Step-by-step explanation:
Anybody please help me but your answer better be correct
Please help me as soon as possible
A (9.9)
B (13,8)
C ( 4,2)
hope that helps
5 hundreds x10 in standerd and unit form
in the given figure , ab //cd then find the value of x
Sum of interiors =exterior
[tex]\\ \sf\longmapsto x+60=110[/tex]
[tex]\\ \sf\longmapsto x=110-60[/tex]
[tex]\\ \sf\longmapsto x=50[/tex]
What is the domain of the function represented by the graph?
N
-2
all real numbers
-4 SX54
-3 sys-1
O y<0
Answer:
-4 i think
sorry if I'm wrong
Which graph best represents the equation y= -2/3x+4?
Answer:
The first one
Step-by-step explanation:
You have a negative slope, so it should be falling or going downwards. Your y-intercept is 4, so it should hit 4 on the y-axis. Hope this helped!
Answer:
The first graph
Step-by-step explanation:
The slope is -2/3
slope is rise over run
y intercept equals 4
In a group of 100 people, 94 like coffee and 93 like tea and each person likes at least one of the two drinks. Find the number of people who like both coffee and tea
Answer:
Step-by-step explanation:
I already have the answer for x but is this complementary or supplementary
Answer:
supplementary
Step-by-step explanation:
► 1-79 A new car purchased for $27.000 loses 15% of its value each year.
divide 200 between Sita and Geeta in the ratio 2:3
Answer: 80:120
Step-by-step explanation:
hi <3
2 + 3 = 5
200/5 = 40
2 x 40 = 80
3 x 40 = 120
sita gets 80 and geeta gets 120
hope this helps :)
Write the following sentence using mathematical symbols.
Twice the difference of x and 4 is greater than the reciprocal of 11.
The answer is
Which number is 30 times larger than the value below 3 x 10
Answer:
900
Step-by-step explanation:
Value of (3 × 10) = 30
30 times the value of (3 × 10)
= 30 × (3 × 10)
= 30 × 30
= 900
Which graph shows a function whose inverse is also a function?
Step-by-step explanation:
Using the concept of inverse function, it is found that the first graph shows a function whose inverse is also a function.
----------------------------------------
A function f(x) will only have an inverse function if: f(a) = f(b) \leftrightarrow a = bf(a)=f(b)↔a=b , that is, a value of y will have only one respective value of x.
----------------------------------------
In the first graph, for each value of y, there is only one value of x, so the inverse is also a function, and this is the correct option.
In the second graph, for example, y = 0 when x = -1 and when x = 1, so the inverse is not a function.
In the third graph, for example, y = -3 when x = 0 and x = 2, so the inverse is not a function.
In the fourth graph, for example, y = 1 for two values of x, so the inverse is not a function.
4y + 2/4 = 8
please help me
Answer:
y should equal 1 7/8 (or 15/8).
Step-by-step explanation:
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Maryanne is making a bracelet at camp using
beads that are 1.64 cm long. What will be
the length of her bracelet if she uses 19
beads?
Answer:
31.16 cm
Step-by-step explanation:
19 x 1.64 = 31.16 cm
Just multiply, since they have u the length of one bead, you will be able to find the length of the entire bracelet
50% of 320 is equal to 80% of what number?
Answer:
50% of 320 is equal to 80% of 200
Step-by-step explanation:
[tex]\sf{50\% \times 320}[/tex]
[tex]\sf{ = \frac{50}{100} \times 320 }[/tex]
[tex]\sf{ = \frac{16000}{100} }[/tex]
[tex] = \sf{160}[/tex]
-
[tex]\sf{160 \div 80\%}[/tex]
[tex]\sf{ = 160 \div \frac{80}{100} }[/tex]
[tex]\sf{ =\cancel{ 160} \times \frac{100}{\cancel{80}} }[/tex]
[tex]\sf{ = 2 \times 100}[/tex]
[tex] = \boxed{\sf{\underline{\purple{200}}}}[/tex]
Answer:
50% of 320 is equal to 80% of 200.
Step-by-step explanation:
Given,
50% of 320 is equal to 80% of a number (let it be x)
Now,
50% of 320
= 50% × 320
= 50/100 × 320
= 50/10 × 32
= 5 × 32
= 160
Also now,
160 is equal to 80% of x.
80% of x = 160
80% × x = 160
80/100 × x = 160
8/10 × x = 160
4/5 × x = 160
4/5x = 160
x = 160 ÷ 4/5
x = 160 × 5/4
x = 40 × 5
x = 200
usa a straightedge and a compass to construct a segment of length ab+cd ILL GIVE BRAINLIEST
Step-by-step explanation:
To create a perpendicular bisector, you need a compass, a straightedge, and a pencil. As well as the line segment AB drew down.
1> You start by opening the compass and stretching it to a width greater than half the length of AB.
2> Then you simply place one point of the compass on the line segments A. From here, you move the compass and draw arcs above and below the line AB.
3> Without moving the compass measure, remove it from point A and place it onto point B. You basically repeat step 2 by drawing arcs above and below the line again.
4> If you've done it right, the arcs should be in the middle, X and Y, and using a straightedge/ruler you draw a line that goes vertically through where they connect.
and that should be your perpendicular bisector using segment AB.
The mean life time of sample of 100 fluorescent light bulbs produced by a company is computed to be 1570 hours with a standard deviation of 120 hours. The company claims that the average life of the bulbs produced by it is 1600 hours. Using the level of significance of 0.05, is the claim acceptable?
Answer:
The mean lifetime of a sample of 100 fluorescent light bulbs produced by a company is
The mean lifetime of a sample of 100 fluorescent light bulbs produced by a company is computed to be 1570 hours with a standard deviation of 120 hours.
Step-by-step explanation:
https://www.cs.bu.edu/faculty/snyder/cs237/Handouts%20and%20Web%20Documents/Handouts/PracticeProblemsHypothesisTesting.pdf
Have a bless day
if 12z5 is a multiple of 3, where z is a digit. what might be the values of z?
Answer:
Playing with Numbers
∵ 31 z5 is divisible by 3. ∴ ( 9 + z) must be divisible by 3. since, z is a digit. ∴ Possible values of z are 0, 3, 6 or 9.
4/11 turned into a decimal
Answer:
0.364
Solution:
Showing the work
We know that
411
is the same as
4÷11
Then using
Long Division for 4 divided by 11
and rounding to a Max of 3 Decimal Places gives us
=0.364
