For this case we must find the value of the variable "x" of the following expression:
[tex]4(10^{5x})=200[/tex]
We divide both sides of the equation by 4:
[tex]10 ^ {5x} = \frac {200} {4}\\10 ^ {5x} = 50[/tex]
We find ln on both sides of the equation to remove the exponent variable:
[tex]ln (10^{5x}) = ln (50)\\5x * ln (10) = ln (50)[/tex]
We divide both sides of the equation between 5 * ln (10):[tex]x = \frac {ln (50)} {5 * ln (10)}[/tex]
In decimal form we have:
[tex]x = 0.33979400[/tex]
ANswer:
[tex]x = 0.33979400[/tex]
Describe the shape of the graph. Although the mean cannot be determined from the graph, can an approximation of the mean be determined? Explain.
(I'm having trouble on this, please help:,)
Answer:
The graph is symmetric. The mean and median are about equal in a symmetric graph. The median is shown as 109, so the mean is approximately 109.
Step-by-step explanation:
The graph is symmetric.
Because the graph is symmetric, the mean and median should be approximately equal.
According to the graph, the median is 109. Therefore, the mean is approximately 109.
Answer:
The graph above can be described as a symmetric graph.
The mean and median of the graph are nearly equivalent, creating symmetry.
Additionally:
The answer to the question after this is the 3rd option, "the average salary increased the same amount each year."
The second portion of the next question is the 2nd option, "The vertical axis does not begin at zero."
WILL BE MARKED BRAINLIEST PLEASE HELP!!!!!!!!!
If the fifth and sixth terms of a geometric sequence are 8 and 16, respectively, then what is the first term?
Answer:
[tex]x_{3}[/tex]=2
The first term is [tex]\frac{1}{2}[/tex]
4. What are the next two numbers in this pattern? 2,-8,32,-128
the next two numbers in this pattern is 62,248...
Answer:
512, - 2048
Step-by-step explanation:
Note that the next term rule between consecutive terms is multiply by - 4, that is
2 × - 4 = - 8
- 8 × - 4 = 32
32 × - 4 = - 128
Continue this process to obtain the next 2 terms
- 128 × - 4 = 512
512 × - 4 = - 2048
A small theater had 7
rows of 26
chairs each. An extra 9
chairs have just been brought in. How many chairs are in the theater now?
Answer:
191
Step-by-step explanation:
26 x 7= 182+9=191
I just need the answers for 10b and 10c.
Please Help Me.
for b it should be 9 serving can be made
and for c it should be 1.5 Cups of orange juice
Answer:
First of all a is wrong bc you would have 148 cups of Punch you only need 108 so that will make it
B.
c.for every 4.5 cup you have 4.5 cup of OJ
Step-by-step explanation:
fix it and i can help cheif
Bridgette made a graph of her neighborhood on a coordinate grid. The points A(-2, 3), B(-2, -2), C(2, -2), and D(2, 3) represent her daily jogging path. She starts at her house, point A, then she jogs to points B, C, and D before returning home. If each space on the coordinate grid represents 1 block, how many blocks does she jog?
Answer:
[tex]\boxed{\text{18 blocks}}[/tex]
Step-by-step explanation:
Distance travelled on graph = AB + BC + CD + DA
AB = CD = (3 +2) = 5
BC = AD = 2 –(-2) = 4
Distance on graph = 2 × 5 + 2 × 4 = 10 + 8 = 18 spaces = 18 blocks
Bridgette jogs [tex]\boxed{\textbf{18 blocks}}[/tex]each day.
Someone please help answer this question
Answer:
AB = 17.3 cm
Step-by-step explanation:
We require to find the measure of ∠A then use the cosine ratio to calculate AB
sum the parts of the ratio 3 + 2 = 5 parts, then
90° ÷ 5 = 18° ← value of 1 part of ratio
∠A = 2 × 18° = 36°, thus
cos36° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{14}{AB}[/tex]
Multiply both sides by AB
AB × cos36° = 14 ( divide both sides by cos36° )
AB = [tex]\frac{14}{cos36}[/tex] ≈ 17.3 cm
Simplify the expression. (0.4x10^-6)(0.7x10^-2)
Answer:
2.8 · 10^(-9)
Step-by-step explanation:
I'd suggest you do this problem through two separate multiplications:
First, 0.4·0.7 = 0.28, or 2.8 · 10^(-1)
Second, 10^(-6) · 10^(-2) = 10^(-8), and so the final result is
2.8 · 10^(-1) · 10(-8) = 2.8 · 10^(-9)
Please note: negative exponents (such as -9, above) should be enclosed in parentheses for added clarity.
help me plzzz ergent need by today plzz
Answer:
2.150 = 2.15
2 +15/10 > 2.15
2 + 0.015 < 2.15
215/100 = 2.15
Step-by-step explanation:
2.150 = 2.15, because 2.15 can be rewritten as 2.150.
2 +15/10=2+1.5=3.5
2 +15/10 > 2.15
3.5 > 2.15
2 + 0.015 < 2.15
2.015 < 2.15
215/100 = 2.15
2.15 = 2.15
Answer:
1 =
2 >
3 i no sured but is <
4 =
Step-by-step explanation:
What is a parabola?
Answer:
In mathematics, a parabola is a plane curve that is mirror-symmetrical and is approximately U-shaped.
Answer:
Step-by-step explanation:
a symmetrical open plane curve formed by the intersection of a cone with a plane parallel to its side. The path of a projectile under the influence of gravity ideally follows a curve of this shape.
A parabola is a two-dimensional, mirror-symmetrical curve, which is approximately U-shaped when oriented as shown in the diagram below, but which can be in any orientation in its plane. It fits any of several superficially different mathematical descriptions which can all be proved to define curves of exactly the same shape.
How to find the area of a triangle on a coordinate plane
Equation of Area of Triangle = 1/2 x b x h
Find the base by counting the boxes across the bottom.
Find the height by counting the boxes from the base (bottom) to highest point on the triangle.
Insert those numbers into the equation and you get your answer.
To find the area of a triangle on a coordinate plane, you can use the formula: Area = 1/2 * base * height. The base can be any side of the triangle, and the height is the perpendicular distance from the base to the opposite vertex. We can calculate the lengths of the base and height by using the coordinates of the triangle's vertices.
Explanation:To find the area of a triangle on a coordinate plane, we can use the formula: Area = 1/2 * base * height. The base can be any side of the triangle, and the height is the perpendicular distance from the base to the opposite vertex. We can calculate the lengths of the base and height by using the coordinates of the triangle's vertices.
For example, if the coordinates of the vertices are (x1, y1), (x2, y2), and (x3, y3), we can find the length of the base by calculating the distance between (x1, y1) and (x2, y2). Then, we can find the height by calculating the distance between (x3, y3) and the line containing the base. Finally, we substitute the values of the base and height into the formula to find the area.
Suppose the coordinates of the triangle are (1, 2), (4, 6), and (7, 2). We can find the base and height as follows:
Base: Distance between (1, 2) and (4, 6) = sqrt((4 - 1)^2 + (6 - 2)^2) = sqrt(9 + 16) = sqrt(25) = 5 unitsHeight: Distance from (7, 2) to the line containing the base (1, 2) and (4, 6) = perpendicular distance from (7, 2) to the line = 2 units (since the line is parallel to the x-axis)Now, substitute the values into the formula: Area = 1/2 * base * height = 1/2 * 5 * 2 = 5 units^2. Therefore, the area of the triangle is 5 square units.
Learn more about Area of a triangle on a coordinate plane here:https://brainly.com/question/12213223
#SPJ12
Tonya has a small picture with a length 4 1/5 of inches. She wants to enlarge the picture by a factor of 7 and frame it. Which of the following is true?
A.
The enlarged picture has a length of inches.
B.
The enlarged picture has a length of inches.
C.
The enlarged picture has a length of inches.
plz solve soon i only have one min left to answer
Answer:
enlarge the picture 7 times by inches
To enlarge Tonya's picture by a factor of 7, the length of 4 1/5 inches is multiplied by 7 to get an enlarged length of 29 2/5 inches.
Tonya has a small picture with a length of 4 1/5 inches. To enlarge the picture by a factor of 7, we need to multiply the original length by 7. First, we convert 4 1/5 inches to an improper fraction: 4 1/5 = (4 * 5 + 1)/5 = 21/5. Next, we multiply by 7: (21/5) * 7 = 21 * 7 / 5 = 147/5 inches. To convert it to a mixed number, we divide 147 by 5 which equals 29 with a remainder of 2, leading to a mixed number of 29 2/5 inches. Thus, the enlarged picture has a length of 29 2/5 inches.
The figure above shows a store’s supply-demand graph for lawn chairs if the stores make $800 by selling lawn chairs which of the following is possible valid price for them?
a.) $50
b.) $40
c.) $25
d.) $20
Answer:
d.) $20
Step-by-step explanation:
Answer: Option 'b' is correct.
Step-by-step explanation:
Since we have given the figure showing store's supply demand graph for lawn chairs.
Profit made by selling lawn chairs by the store = $800
Using the graph , we conclude that
Demand curve and supply curve intersect at (25,40)
Here, y- axis denotes the price of commodity.
x - axis denotes the quantity of commodity.
So, the possible valid price for them would be $ 40.
Hence, Option 'b' is correct.
Samara is adjusting a satellite because she finds it is not focusing the incoming radio waves perfectly. The shape of her satellite can be modeled by y^2=2(x+6), where x and y are modeled in inches. She realizes that the static is a result of the feed antenna shifting slightly off the focus point. What is the focus point of the satellite?
Answer:
(-5.5,0)
Step-by-step explanation:
The question is on finding the focus point of a parabola
Given y²= 2(x+6).....................................(a)
Compare equation (a) with the standard equation (y-b)²= 2p(x-a)
y²= 2(x+6)------can be written as (y-0)²=2(x+6)
(y-0)²=2(x+6)
(y-b)²= 2p(x-a)
2p=2-----------------divide both sides by 2 to get p
p=2/2=1
For the vertex (a,b)⇒(-6,0)
For the focus point ( a+p/2, b)........................................(b)
Substitute values i equation (b) above
(-6+1/2 ,0) =(-5.5, 0)
Answer:
A
Step-by-step explanation:
What is the slop of the line y = 3
3/1 is the slope of the line
Answer:
the slope of y = 3 is 0
Step-by-step explanation:
we can use the acronym VUX/HOY to remind us about the properties of a certain line
Vertical line
Undefined slope
X axis
VUX means that a line passing x = b will have an undefined slope and will be a vertical line
Horizontal line
0 slope
Y axis
HOY means that a line passing through y = b will have a slope of 0 and will be a vertical line
Which law would you use to simply the expression (p/q)^3
[tex]\text{Hey there!}[/tex]
[tex](\frac{p}{q})^3[/tex]
[tex](\frac{p}{q})^3=\frac{p}{q}\times\frac{p}{q}\times\frac{p}{q}[/tex]
[tex]\text{Numerator: p}\times\text{p}\times\text{p}[/tex]
[tex]\text{Denomintor: q}\times\text{q}\times\text{q}[/tex]
[tex]\frac{p\times p\times p}{q\times q\times q}[/tex]
[tex]p\times p \times p=p^3[/tex]
[tex]q\times q \times q=q^3[/tex]
[tex]\boxed{\boxed{\bf{Answer:\frac{p^3}{q^3}}}}\checkmark[/tex]
[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{LoveYourselfFirst:)}[/tex]
The worded steps to find this answer
Answer:
118°
Step-by-step explanation:
Since it is an isosceles triangle, two angles must be the same.
Also angles in a triangle add up to 180° and from this we can deduce that
x + ( 31 + 31 ) = 180
( Simplify )
x + 62 = 180
( - 62 from both sides )
x = 118°
Find 51% of 140, Round to the nearest tenth if necessary.
Answer:71.4
Step-by-step explanation:140*51%
The answer is 71.4 because 51% =.51 and .51•140= 71.4
What expression is equivalent to? Screenshots attached. Please help!
Answer:
the correct option is C i.e. [tex]8x^4yz^4\sqrt{2yz}[/tex]
Step-by-step explanation:
We need to solve the expression :
[tex]\sqrt{128x^8y^3z^9}[/tex]
Factors of 128 are: 2x2x2x2x2x2x2
and we know √ = 1/2
and √a.b = √a.√b
Solving:
[tex]=\sqrt{128x^8y^3z^9}\\\\=\sqrt{128} \sqrt{x^8} \sqrt{y^3} \sqrt{z^9}\\=\sqrt{2x2x2x2x2x2x2}\sqrt{x^8} \sqrt{y^2.y} \sqrt{z^8.z}\\=\sqrt{2^2x2^2x2^2x2}\sqrt{x^8} \sqrt{y^2.y} \sqrt{z^8.z}\\=(2^2)^{1/2} (2^2)^{1/2}(2^2)^{1/2} (2)^{1/2} (x^8)^{1/2} (y^2)^{1/2} (y)^{1/2} (z^8)^{1/2} z^{1/2}\\=2.2.2.(2)^{1/2}x^4y(y)^{1/2}z^4(z)^{1/2}\\=8x^4yz^4\sqrt{2yz}[/tex]
So, the correct option is C i.e. [tex]8x^4yz^4\sqrt{2yz}[/tex]
Also this one as well :) I’m struggling pls help
Answer:
A,C,E
Step-by-step explanation:
x+4 6
------- ÷ ---------
3 x
Copy dot flip
x+4 x
------- * --------- (A)
3 6
Reversing the order
x x+4
------- * --------- (C)
6 3
x(x+4)
------------
18
x^2+4x
--------------(E)
18
Recycling center a processes aluminum at rate of 100 pounds per hour, while recycling center b processes aluminum at a rate of 2 tons per week. Assuming that both centers operate all day every day, which center processes aluminum faster, and why?
Answer:
Center a processes it faster
Step-by-step explanation:
Center B math: 2 tons as pounds is 4000 pounds.
4000/7=571.43 pounds a day
571.43/24=23.81 pounds a hour
23.81 pounds per hour is less than 100 pounds an hour. so center a is the faster one.
Answer:
Center A process aluminium faster
Because
Center A process 8.4 Tons of aluminium per week while center B processes 2 tons per week
Step-by-step explanation:
Topic: Unit Conversion
Given
Center A Rate of Processing Aluminium
A = 100 pounds per hour
Center B Rate of Processing Aluminium
B = 2 tons per week
To solve this question, the following assumptions will be made
Both centers operate 24 hours a dayBoth centers operate 7 days a weekHaving said that, the first step is to make conversions.
We either convert pounds to tons or tons to pounds.
Converting Center A Rate of Processing Aluminium from Pounds to Tons
1 Pound = 0.0005 Tons
So, 100 Pounds = 0.0005 * 100
100 Pounds = 0.05 Tons.
So, Center A Rate of Processing Aluminium is 0.05 Tons per hour
Before we make comparison, both must be in the same unit.
i.e. either in Tons per hour or Tons per units.
Converting Center A Rate of Processing Aluminium from Tons per hour to Tons per week
There are 24 hours a day;
So, Center A Rate of Processing Aluminium is 0.05 Tons/hr* 24 hr/day
Converting Center A Rate of Processing Aluminium is 1.2 Tons / day
There are 7 days a week;
So, Center A Rate of Processing Aluminium is 1.2 Tons/ day * 7 days / week
Converting Center A Rate of Processing Aluminium is 8.4 Tons / week
At this point, we have the following
Center A Rate of Processing Aluminium = 8.4 Tons / week
Center B Rate of Processing Aluminium = 2 tons per week
By Comparison,
8.4 Tons per week is greater than 2 tons per week; So, Center A process aluminium faster
a sociologist develops a test to measure attitudes towards public transportation and 27 randomly selected subjects are given the test.their mean score is 76.2 and their standard deviation is 21.4. construct the 95% confidence interval for the mean score of all such subjects
Answer:
The 95% confidence interval for the mean score is:
[tex]\mu[/tex] ∈ [tex](67.73,\ \ 84.67)[/tex]
Step-by-step explanation:
We want to estimate the population mean, that is, the average score of all the subjects.
An estimator for the population mean μ is [tex]{\displaystyle {\overline {x}}}[/tex]
Since the sample size is [tex]27 <30[/tex] then we use the statistic [tex]t_{\frac{\alpha}{2}}[/tex] with [tex]27-1 = 26[/tex] degrees of freedom
The confidence interval for the mean is:
[tex]({\displaystyle {\overline {x}}} + t_{\frac{\alpha}{2}}\frac{S}{\sqrt{n}},\ \ {\displaystyle {\overline {x}}} - t_{\frac{\alpha}{2}}\frac{S}{\sqrt{n}})[/tex]
Where
[tex]{\displaystyle {\overline {x}}}=76.2[/tex] is the average score of the sample
[tex]S=21.4[/tex] is the standard deviation of the sample
[tex]n= 27[/tex] is the sample size
[tex]t_{\frac{\alpha}{2}} = 2.056[/tex] for a confidence level of 95% and 26 degrees of freedom
Then confidence interval is
[tex](76.2 + 2.056\frac{21.4}{\sqrt{27}},\ \ {76.2 - 2.056\frac{21.4}{\sqrt{27}})[/tex]
[tex](76.2 + 8.467,\ \ 76.2 - 8.467)[/tex]
[tex]\mu[/tex] ∈ [tex](67.73,\ \ 84.67)[/tex]
The 95% confidence interval for the mean score of attitudes towards public transportation is (68.13, 84.27), calculated using the formula for a confidence interval.
Explanation:In this scenario, we would use the formula for a 95% confidence interval, which is the sample mean ± (1.96 * (standard deviation / √n)). In this case, n is 27 (the sample size), the sample mean is 76.2, and the standard deviation is 21.4.
Firstly, calculate the standard error by dividing the standard deviation by the square root of n:
SE = 21.4 / √27 ≈ 4.12
Then multiply the standard error by 1.96:
1.96 * SE ≈ 1.96 * 4.12 ≈ 8.07
Finally, add and subtract this value from the sample mean to get the confidence interval:
76.2 ± 8.07 gives an interval of (68.13, 84.27).
So, we can be 95% confident that the true population mean of attitudes towards public transportation lies between 68.13 and 84.27.
Learn more about Confidence Interval here:https://brainly.com/question/34700241
#SPJ3
Which expression can be used to find 80% of 20
When you say Percent, you really mean per 100. So percentage is the result you get when multiplying a quantity by a percent. To find 80% of 20, we can use the following expression:
[tex]20\times \frac{80}{100}=16[/tex]
That is the product of 80 and 20 divided by 100, which is 16.
Answer:
The correct answer is
80% of 20 = 16
Step-by-step explanation:
points to remember
x% of y is given by
(x/100) * y
To find 80% of 20
Let 'x' be the 80% of 20 then we can write,
x = (80/100) * 20
x = (8/10) * 20
= 8 * 2 = 16
Therefore 80% of 20 is 16
The correct answer is 16
if a frog can move 1/4 of a mile every hour, then how many hours would it take for a frog to go 2 miles?
Answer: 8 hours
Step-by-step explanation: If a frog can jump 1/4 fourth a mile every hour then it will take 4 hours to complete a mile. But because we are talking a bout 2 miles, you have to double the time. Therefore, the answer is 8 hours
It would be one hour every quarter of the mile so count the hours by the amount of numbers there are in one mile so it would be 8 hours
Select all of the expressions that are equivalent to the expression 3x − 12 − 2(x + 12).
3x − 12 − 2x + 24
3(x − 4) − 2x − 24
3(x − 4) − 2(x + 12)
3(x + 4) − 2(x + 12)
x + 12
x − 36
Answer:
Second option
Third option
Last option
Step-by-step explanation:
You have the expression [tex]3x - 12 - 2(x + 12)[/tex], you can find the following equivalent expressions:
Apply Distributive property:
[tex]3x - 12 - 2x -24[/tex]
Group the first two terms and factor out 3:
[tex]=3(x - 4) - 2x -24[/tex] (Second option)
Apply Distributive property and then add the like terms:
[tex]=3x - 12 - 2x - 24[/tex]
[tex]=x-36[/tex] (Last option)
Group the first two terms and factor out 3:
[tex]=3(x - 4) - 2(x + 12)[/tex] (Third option)
Answer:
x
2
−
4
x
−
12
Step-by-step explanation:
What value of x would make the expression below equal to 8? Photo provided! 20points!
For this case, we must find the value of "x" so that the given expression is equal to 8.
That is to say:
[tex](\sqrt [5] {8 ^ 3}) ^ x = 8[/tex]
We apply "ln" to both sides of the equation to remove the exponent variable:
[tex]ln ((\sqrt [5] {8 ^ 3}) ^ x) = ln (8)\\xln (\sqrt [5] {8 ^ 3}) = ln (8)\\xln (\sqrt [5] {512}) = ln (8)[/tex]
We rewrite 512 as:
[tex]512 = 32 * 16 = 2 ^ 5 * 16\\xln (\sqrt [5] {2 ^ 5 * 16}) = ln (8)[/tex]
By definition of power properties we have:
[tex]\sqrt [n] {a ^ m} = a ^ {\frac {m} {n}}[/tex]
So:
[tex]xln (2 \sqrt [5] {16}) = ln (8)[/tex]
We clear x:
[tex]x = \frac {ln (8)} {ln (2 \sqrt [5] {16})}[/tex]
In decimal form, [tex]x = 1.6[/tex] periodic number
ANswer:
[tex]x = \frac {ln (8)} {ln (2 \sqrt [5] {16})}\\x = 1.6\ periodic\ number[/tex]
Drag a statement or reason to each box to compete this proof.
Answer:
The answers of the proof are the following:
2. Multiplication Property of Equality
3. x-2 = 8
4. Addition Property of Equality
5. x=10, Simplifying
!!!please help!!!
The diagram below shows the dimensions of Tessa’s garden.
A) What is the perimeter, in feet, of Tessa’s garden? Show or explain all your work.
B) What is the area, in square feet, of Tessa’s garden? Show it explain all your work.
C) Tessa decided that she liked the shape of her garden but wanted to have 2 times the area. She drew a design for a garden with every dimension multiplied by 2. Explain the error in Tessa’s design.
See photo
Perimeter = 525.66 ft
Area = 10913.27 ft2
What is a credit report? a. A credit report is a number representing your creditworthiness. b. A credit report is a detailed listing of your credit history. c. A credit report is a ranking which compares your creditworthiness to others. d. A credit report is a missed payment or other factor which negatively affects your credit.
A credit report is a detailed listing of your credit history.
Answer: b
A credit report is defined as; B: A credit report is a detailed listing of your credit history
What is a Credit Report?
A credit report is defined as a report that shows the financial credit history of an individual.
Now, the credit report shows the credit point which may be an excellent or poor credit score. Thus, when a person has a high credit score report, such a person is eligible for higher loans from the market but if such a person has a low credit score report, such a person cannot be eligible for hgher loans from the market.
Thus, we can conclude that A credit report is a detailed listing of your credit history.
Read more about Credit Report at; https://brainly.com/question/9913263
What is the equation of the midline for the function y = 3cos(x - π ) - 4?
y = -4
y = -π
y = 4
y = π
Answer:
The correct answer option is y = -4.
Step-by-step explanation:
We are to find the equation of the mid-line for the following function:
[tex]y=3cos(x-\pi)-4[/tex]
[tex]3 cos((x - \pi ) - 4 = 3 cos(x) - 4[/tex] because [tex]cos(x-\pi) = cos(x)[/tex]
[tex]-1 \leq cos(x) \leq 1[/tex]
[tex]-3 \leq 3cos(x) \leq 3[/tex]
[tex]-3-4 \leq 3 cos(x)-4 \leq 3-4[/tex]
[tex]-7 \leq 3 cos(x)\leq-1[/tex]
The range is -7 to -1 so the midpoint is [tex]\frac{-7-1}{2} =-4[/tex]
Therefore, the equation of the mid-line for the given function is y = -4.