Answer:
x = 3
Step-by-step explanation:
[tex] {2}^{(2x - 3)} \ast {5}^{(x - 1)} = 200 \\ \\ \implies \: {2}^{(2x - 3)} \ast {5}^{(x - 1)} =8 \ast \: 25 \\ \\\implies \: {2}^{(2x - 3)} \ast {5}^{(x - 1)} = {2}^{3} \ast {5}^{2} [/tex]
Comparing like terms on both sides, we find:
[tex]{2}^{(2x - 3)}= {2}^{3}\: \: or \:\:{5}^{(x - 1)} = {5}^{2} [/tex]
[tex]\implies \:2x - 3 = 3 \: \: or \: \:x - 1 = 2 \\ \\ \implies \:2x = 3 + 3 \: \: or \: \: x = 1 + 2\\ \\ \implies \:2x = 6 \: \: or \: \: x = 3 \\ \\ \implies \:x = \frac{6}{3} \: \: or \: \: x = 3 \\ \\ \implies \:x = 3 \: \: or \: \: x = 3 \\ \\ \implies \huge \:x = 3 [/tex]
.If Rashard wants to earn $300 interest in 2 years from an account that earns an annual simple
interest rate of 8%, how much must he invest initially?
Answer:
$ 1875
Step-by-step explanation:
Richard invests some amount P. He want the money he invested to gain an interest of $300.
A = P(1 + n×i)
A = P + 300
i = 0.08
n = 2
P + 300 = P(1 + 2×0.08)
P + 300 = P(1.16)
300 = 1.16P - P
300 = 0.16P
300/0.16 = 0.16P/0.16
P =300/0.16
P = $1875
Richard should invest $1875 if he wants an interest of $300 in 2 years.
Suppose 140 geology students measure the mass of an ore sample. Due to human error and limitations in the reliability of theâ balance, not all the readings are equal. The results are found to closely approximate a normalâ curve, with mean 82 g and standard deviation 3 g. Use the symmetry of the normal curve and the empirical rule as needed to estimate the number of students reporting readings between 79 g and 85 g
Using the Empirical Rule, it is found that 95 students reported readings between 79 g and 85 g.
What does the Empirical Rule state?It states that, for a normally distributed random variable:
Approximately 68% of the measures are within 1 standard deviation of the mean.Approximately 95% of the measures are within 2 standard deviations of the mean.Approximately 99.7% of the measures are within 3 standard deviations of the mean.In this problem, considering that the mean is of 82g and the standard deviation is of 3g, readings between 79g and 85g are within one standard deviation of the mean, hence it will compreend 68% of the 140 readings, so the number of students is given by:
0.68 x 140 = 95.
More can be learned about the Empirical Rule at https://brainly.com/question/24537145
Pls help and explain it
Answer:
(a) School B
you can compare the coverages of A grades for both schools
School A: 25
School B: 50
50 > 25, so school B
(b) School B
School A: 18
School B: 70
70 > 18, so also school B
(c). School B has a higher percentage of nearly all the grades than school A except for D grade.
help please if you can thanks!
Answer:
The last option 8.5
Step-by-step explanation:
hope it helps
WILL GIVE BRAINLIEST
The Coriolis Effect is the measurement of wind speed based on friction from mountains.
Question 2 options:
True
False
Answer:
false
Step-by-step explanation:
i said so
Answer:false
Step-by-step explanation:
because im smart
brainleist? or scam?
Clarise and Jim sell pumpkins by the pound at a local farmer’s market. The weights, in pounds, of the pumpkins from the most recent harvest are shown in the box plot. Find the median, range, and interquartile range without the outlier.
Step-by-step explanation:
also provide box plot..
The equations in this sytem were added to solve for x. What is the value of x?
Negative 2 x + y = 8. 5 x minus y = negative 5. 3 x = 3.
x = negative 3
x = negative 1
x = 1
x = 3
The value of x would be 1.
Find the area of the shaded region. Round your answer to the nearest tenth.
please help
Answer:
41.0 cm^2 to nearest tenth.
Step-by-step explanation:
Required area = Area of the semicircle - area of the clear triangle
Area semicircle = 0.5πr^2
= 0.5π *6^2
= 18π.
Finding Altitude h of the triangle :
cos 60 = h / 6
h = 6 cos 60 = 6 * 1/2
= 3.
Finding Base b of the triangle:
sin 60 = 0.5b / 6
0.5b = 6 * sin 60
= 5.196.
So area of the triangle = h * 0.5b
= 3 * 5.196
Area of shaded region
= 18π - 3 * 5.196
= 40.96 cm^2
Answer:
38.52 cm²
Step-by-step explanation:
Take the shaded area to be found into 2 parts :
Left sectorTop area subtended by the chordArea of left sector
As the area subtended by the chord takes up an angle of 120°, the remaining angle of the semicircle is :180° - 120° = 60°Area = πr² x (angle of sector)/360°Area = 3.14 x (6)² x 60/360Area = 3.14 x 36 x 1/6Area = 3.14 x 6Area = 18.84 cm²Area subtended by top chord
Area (120° sector) - Area (triangle)Area = πr² x θ/360 - 1/2bhArea = 3.14 x 36 x 120/360 - 1/2 x 6 x 6Area = 3.14 x 12 - 18Area = 37.68 - 18Area = 19.68 cm²Area (shaded)
Area (left sector) + Area (subtended by chord)18.84 + 19.6838.52 cm²Determine which postulate or theorem can be used to prove that ABC = DCB.
Answer:
I believe it is B
Step-by-step explanation:
it has somewhat some thing to do with the lines at BC it's had to put in words
The postulate or theorem can be used to prove that ΔABC ≅ ΔDCB is ASA.
The correct option is A.
What is Congruency?Congruency is a concept in geometry that refers to the equality of shape and size between two or more geometric figures. When two figures are congruent, it means that they have exactly the same shape and size, and their corresponding sides and angles are equal.
In ΔABC and ΔDCB
<BAC= <BDC (given)
<BCA= <DBC(given)
CB = CB (common)
So, by ASA criteria ΔABC ≅ ΔDCB.
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f(x)=x^2. What is g(x)?
f(x)=x²
f(1)=1²=1Hence.
g(x)=5f(x)g(x)=5x²Answer:
welp hopefully its right
Step-by-step explanation:
-1.5
15
- 10
-3
2
A cylinder with a height of 8 inches and a radius of 4 inches what is the volume?
Answer:
Formula for volume of cylinder;
V = π[tex]r^{2}[/tex]h
Where 'π' is pi(22/7 or 3.14), 'r' is the radius which is being squared, and 'h' represents the height.
Plug in your values given that;
8 in. = height
4 in. = radius
V = π[tex]r^{2}[/tex]h
V = 3.14(4^2) x 8
V = 3.14(16) x 8
V = 50.24 x 8
V = 401.92 cubic inches or [tex]401.92^{3}[/tex] inches is the volume.
Carl is the owner of a shoe store and notices that his electricity bill has increased by 3%. Which of the expressions below represent a 3% increase?
1. a + 0.03a
2. a + 0.3a
3. 1.03a
4. 1.3a
expression 1 only
expression 2 only
expressions 1 and 3
expressions 2 and 4
Answer:
1 and 3
Step-by-step explanation:
If a polynomial has a remainder of zero when dividing by x + 3, then x = -3 is a solution of that polynomial.
true or false?
Answer:
True
this is true there is also another way of thinking of it
Imagine subtracting 3 from both sides so then it will be X= -3
what is the value of the expression 4y²-7y-6 when y=5
Which outcome is most likely to occur along a transform boundary?
earthquakes
deep-sea trenches
rugged mountain ranges
hot spots
Answer:
The grinding action between the plates at a transform plate boundary results in shallow earthquakes, large lateral displacement of rock, and a broad zone of crustal deformation.
Step-by-step explanation:
It transform boundaries are where plates slide past each other causing friction, leading to earthquakes.
This is my answer absolute 100% correct
Hope it helps Favor(Brainliest)
#Carryonlearning
What happens to the energy after cellular respiration? What happens to the carbon dioxide and water?
Answer:
Through the process of cellular respiration, the energy in food is converted into energy that can be used by the body's cells. During cellular respiration, glucose and oxygen are converted into carbon dioxide and water, and the energy is transferred to ATP.Step-by-step explanation:
Data collected from a survey of American teenagers aged 13 to 17
was used to estimate that 29% of teens believe in ghosts. This
estimate was based on data from 510 American teenagers. What is
the population that people carrying out the survey were interested
in?
O All people in the United States.
The 510 teens that were surveyed.
O All American teens who are between the ages of 13 and 17.
o The 29% of the teens surveyed who said they believe in ghosts.
Using sampling concepts, it is found that the population of interest is given by:
All American teens who are between the ages of 13 and 17.
What is sampling?It is a common statistics practice, when we want to study something from a population, we find a sample of this population, which is a group containing elements of a population. A sample has to be representative of the population, that is, it has to involve all segments of the population.
For example:I want to estimate the proportion of New York state residents who are Buffalo Bills fans. So i ask, lets say, 1000 randomly selected New York state residents wheter they are Buffalo Bills fans, and expand this to the entire population of New York State residents.
In this problem, a sample of American teenagers aged 13 to 17 was taken, hence all American teenagers aged 13 to 17 is the population of interest.
More can be learned about sampling concepts at https://brainly.com/question/25122507
What is a solution to 3x-26/7=-5/x if x/= 0
Answer:
Step-by-step explanation:
Canada had 12,968,000 visitors while Mexico had 9,807,000 visitors. How many combined visitors did they have?
A. 22,775 visitors
B. 21,775,000 visitors
C. 22,765,000 visitors
D. 22,775,000 visitors
Answer: D
Step-by-step explanation: Add the two numbers
Keisha bought 4 books and 2 bookmarks at the library book sale. Each book cost $2.50. Each bookmark costs $1.95. Keisha paid with a $20.00 bill. How much change did she get?
A.$6.20
B.$7.20
C.$15.55
D.$6.10
Answer:
A= $6.10
Step-by-step explanation:
1 book = $2.50
4 books = $10.00
1 bookmark = $1.95
2 bookmarks = $3.90
3.90 + 10.00 = $13.90
20.00 - 13.90 = $6.10
What is the answer to this question?
Answer:
A = 16.5 cm²
Step-by-step explanation:
the area (A) of a trapezoid is calculated as
A = [tex]\frac{1}{2}[/tex] h (b₁ + b₂ )
where h is the perpendicular height between bases and b₁, b₂ the bases
here h = 3, b₁ = 7 , b₂ = 4 , then
A = [tex]\frac{1}{2}[/tex] × 3 × (7 + 4) = 1.5 × 11 = 16.5 cm²
drake uses 9/4 cups of sugar to make 9 mugs of brownies how much sugar is required to make one brownie
Answer:
1/4 cup
Step-by-step explanation:
9/4 / 9 =
9/4 *1/9 the nines cancel out to leave
1/4
What about this one?
Answer:
108
Step-by-step explanation:
Okay here we see a diameter of 6 which is a line that shows the width of the whole circle. The radius is half of the diameter. So its 3. So its asking to use 3 for pie and the formula is 4/3 pie r^3. So we do 4/3 times 3 times 3^3 and we get 108. I hope this helps.
Question 17 of 25
After being rearranged and simplified, which equation cannot be solved using
the quadratic formula?
O A. 5x2 – 3x+ 10 = 2x2
B. 2x2 – 3x + 10 = 2x2 + 21
-
O c. x2 - 6x- 7 = 2x
O D. 2x - 4 = 2x2
SUBMIT
Answer:
B. 2x2 – 3x + 10 = 2x2 + 21
Step-by-step explanation:
2x2 – 3x + 10 = 2x2 + 21
Subtract 2x^2 from each side
2x2- 2x^2 – 3x + 10 = 2x2 + 21-2x^2
-3x+10 = 21
This is a linear equation and does not use the quadratic equation to solve
-
Which expression is equivalent to 5(4x+3)-2x?a 18x+15b 18x+3c 7x+8d 2x+8
Answer:
Which expression is equivalent to 5(4x+3)-2x?a 18x+15b 18x+3c 7x+8d 2x+8
A-18x+15
An outlet has a current of 10 amperes and a resistance of 14 ohms. Find the voltage difference.
The voltage difference for an outlet will be 140 volts.
What is Multiplication?
To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.
Given that;
For an outlet,
Current (I) = 10 ampere
Resistance (R) = 14 ohms
Now,
Since, We know that;
The current is the ratio of the potential difference and resistance.
That is,
⇒ I = V / R
⇒ V = I R
Thus, Substitute all the values, we get;
⇒ V = I R
⇒ V = 10 x 14
⇒ V = 140 Volts
Therefore, The voltage difference for an outlet will be 140 volts.
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16 + 40 ÷ 4 + (13 - 9)2
Step-by-step explanation:
= 16 + 40 ÷ 4 + ( 13 - 9 ) 2
= 16 + 40 ÷ 4 + 4 × 2
= 16 + 10 + 4× 2
= 16+ 10 + 8
= 34
May I get help on these questions, please?
Which function matches the graph?
A 2-dimensional graph with an x-axis and a y-axis is given. A parabolic curve is drawn whose axis of symmetry is parallel to y-axis and its vertex is at (1,-3); is passing through co-ordinates (3,1) and (-1,1).
A. f(x) = (x – 3)2 – 3
B. f(x) = (x + 1)2 – 6
C. f(x) = (x + 2)2 – 5
D. f(x) = (x – 1)2 – 3
vertex : (1,-3)
coordinates : (3,1) and (-1,1)
parabola formula : y = a(x -h)² + k
(x, y) - from the coordinates(h, k) - from the vertexso given,
h = 1
k = -3
x = 3
y = 1
solve for a:
1 = a(3 -1)² + (-3)1 = 4(a) - 34(a) = 4a = 1Therefore equation:
y = (x -1)² - 3
check the graph for confirmation:
Answer: Graph the parabola y=x2−7x+2 .
Compare the equation with y=ax2+bx+c to find the values of a , b , and c .
Here, a=1,b=−7 and c=2 .
Use the values of the coefficients to write the equation of axis of symmetry .
The graph of a quadratic equation in the form y=ax2+bx+c has as its axis of symmetry the line x=−b2a . So, the equation of the axis of symmetry of the given parabola is x=−(−7)2(1) or x=72 .
Substitute x=72 in the equation to find the y -coordinate of the vertex.
y=(72)2−7(72)+2 =494−492+2 =49 − 98 + 84 =−414
Therefore, the coordinates of the vertex are (72,−414) .
Now, substitute a few more x -values in the equation to get the corresponding y -values.
x y=x2−7x+2
0 2
1 −4
2 −8
3 −10
5 −8
7 2
Plot the points and join them to get the parabola
in short terms D.
A circle has a diameter with endpoints at -2 + i and -6 -11i. What is the center of the circle?
O-8-10i
O -4 – 5i
O -2- 6i
O 2 +i
Answer:
- 4 - 5i
Step-by-step explanation:
The centre of the circle is the average of the endpoints
centre = (- 2 + i - 6 - 11i ) ÷ 2
= (- 8 - 10i ) ÷ 2
= - 4 - 5i
