Answer:
x = 3.58Step-by-step explanation:
[tex]e^{4x - 5}[/tex] - 7 = 11243[tex]e^{4x - 5}[/tex] = 11250ln [tex]e^{4x - 5}[/tex] = ln 112504x - 5 = ln 112504x - 5 = 9.33 (rounded)4x = 14.33x = 14.33 / 4x = 3.58 (rounded)Answer:
x = 3.58 (2 d.p.)
Step-by-step explanation:
Given equation:
[tex]e^{4x-5}-7=11243[/tex]
Add 7 to both sides:
[tex]\implies e^{4x-5}-7+7=11243+7[/tex]
[tex]\implies e^{4x-5}=11250[/tex]
Take natural logs of both sides:
[tex]\implies \ln e^{4x-5}=\ln 11250[/tex]
[tex]\textsf{Apply the power law}: \quad \ln x^n=n \ln x[/tex]
[tex]\implies (4x-5)\ln e=\ln 11250[/tex]
As ln(e) = 1:
[tex]\implies 4x-5=\ln 11250[/tex]
Add 5 to both sides:
[tex]\implies 4x-5+5=\ln(11250)+5[/tex]
[tex]\implies 4x=\ln(11250)+5[/tex]
Divide both sides by 4:
[tex]\implies \dfrac{4x}{4}=\dfrac{\ln(11250)+5}{4}[/tex]
[tex]\implies x=\dfrac{\ln(11250)+5}{4}[/tex]
Using a calculator:
[tex]\implies x=3.582030852...[/tex]
Therefore:
[tex]\implies x=3.58\:\: \sf (2 \: d.p.)[/tex]
Learn more about log laws here:
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The perimeter of ABCD is 26 cm
The area of PQRS is 45 cm(squares)
Find the length of AB
How does 0.07/2.8 equal the same answer as 7/280?
Answer:
4.065
Step-by-step explanation:
40.6 divide by 5 so answer is 4.065
Answer:
Step-by-step explanation:
0.07/2.8 = 0.025
7/280 = 0.025
Yes they are same because their answer is same
HELP ME PLS
GIVING BRAINLIEST
Explanation:
The max is 2 ounces, as shown by the X mark at the very far right side. The min amount is 1 ounce, shown by the other endpoint. Subtracting the two leads to the range of max-min = 2-1 = 1 ounce. The range helps us determine how spread out the data set is.
Using Angle Relationships to Solve Equations
Answer:
8. x=19
9. 42
10. 23
Step-by-step explanation:
8.
x+x+4+3x-9 =90
5x-5=90
x= 19
9.
x=19
x+4= 23
19+23=42
10.
x+4=23
Graph the logarithmic function f(x) = log2(x - 1) + 2.
anyone know this pls help
Answer:
I graphed it for you in the image below.
Step-by-step explanation:
Graph the logarithmic function f(x) = log2(x - 1) + 2 is attached below.
What is a function?The function is referred to as a particular kind of relationship, every value in the domain is associated with exactly one value in the range. They have a set perimeter and territory.
It is given that the logarithmic function is, f(x) = log2(x - 1) + 2.
The first step in graphing a logarithmic function is to locate some points on the exponential f. (x). The graph will look better as we plot more points, and we can flip the x and y values to get points on the opposite axis. locate the asymptote. The following logarithmic functions can be graphed. Specify the domain and the range.
Thus, the graph is attached below.
Learn more about the function here:
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Is y= x +4 a linear fraction or nonlinear fraction
Answer:
Linear as it would be a straight line.
Step-by-step explanation:
If you move up one and to the left one you would have a straight line touching the y-intercept 4.
Round to the nearest tenth
1. Find x.
Answer:
x= 25.5 not rounded x=25.51393657
Step-by-step explanation:
Decide what trig ration you need/want to use. The 27 degrees are opposite of the 13 and adjacent to the x which means your ratio should be o/a or 13/x. The trig ratio needed is Tangent. Now you can write the equation as tan(27)=13/x and start solving.
tan(27)=13/x multiply the x on both sides and you'll have x * tan(27)=13 and decide which to put into your calculator and you'll get x=25.51393657 rounded as 25.5
Solve for x if:
y = 30
x = y
- + 20
3
A) 25
B) 40
C) 50
D) 30
Answer:
30?
Step-by-step explanation:
If y is 30 and x = y. Then wouldn't x be 30 HOWEVER I'm unsure what the other part of the equation is.
simplify 3/x-1 + 1/x-2
Answer:
4-3x over x or 4-3x/x
I'm not sure. but I hope it can help you:))
A television newscaster from a 24-hour news station wants to estimate the number of hours per day its viewers watch
programming on this channel
. The neviscaster randomly selects 100 viewers and asks them how many hours per day
they watch this station. The newscaster constructs an 85% confidence interval for the true mean number of hours
viewers watch this station. Which of the following would decrease the margin of error?
Answer:
This isn't the best worded question but from what I understand a larger sample size decreases the margin of error. If he would like a more accurate answer a larger sample size of the viewers will give more accurate answers.
Step-by-step explanation:
A square sticky note has sides that are 7 centimeters long. What is the sticky note's area?
Answer:
side- 7
area of square - side x side
7 x 7 - 49² cm
square - all sides are the same length
area - length * width
7 * 7 = 49
49 cm^2can anyone help me with these homework pages please i need them asap, thanks
Answer:
1. reflection
2. translation
3. rotation
4. dilation (enlargement)
5. dilation (reduction)
6. rotation
7. reflection
Can I get help with this please?
1) Find the missing side. Give your
answer in simplest radical form.
Answer:
x = 4√5
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityTrigonometry
[Right Triangles Only] Pythagorean Theorem: a² + b² = c²
a is a leg b is another leg c is the hypotenuseStep-by-step explanation:
Step 1: Define
Leg a = 8
Leg b = 4
Hypotenuse c = x
Step 2: Solve for x
Substitute in variables [Pythagorean Theorem]: 8² + 4² = x²Evaluate exponents: 64 + 16 = x²Add: 80 = x²[Equality Property] Square root both sides: √80 = xRewrite: x = √80Simplify: x = 4√5At which of the given values is the graph discontinuous? will report if links is put as an answer.
Answer:
A
Step-by-step explanation:
Jump discontinuity
mr jones is painting a wall in his office. he has enough paint to cover 104 square feet . the wall he is painting is 12 feet wide and 9 feet long. Does he have enough paint to cover the wall
Answer:
no
Step-by-step explanation:
9x12=108
108 square feet so not enough paint.
needs more paint that covers 4 square feet
A fitness center charges $3 per visit plus a monthly fee of $30. How much would it cost in one month if Ella has 18 visits?
$48
$54
$84
$90
Answer:
84$
Step-by-step explanation:
It says it costs $3 per visit and Ella went 18 times
So we can describe that as x represents the times she has visited, x=18, so 3(18)
now we just add $30 dollars since she only went in one month and $30 is the fee per month so that would be (3*18=) 54+30
which would then give you $84 dollars!
hope it helps!!
Answer:
C.) $84
Step-by-step explanation:
3 numbers are in arithmetic progression their sum is15 and their product is 80 determine the 3 numbers
Answer:
2, 5, 8
Step-by-step explanation:
For starters, let us assume that the numbers are x-d, x, and x+d.
Where d is the common difference between terms.
This mean that we can say, from the question
x-d + x + x+d = 15
3x = 15,
x = 5,
This means that the terms are 5, 5-d and 5+d.
On the other hand,
(5-d) * 5 * (5+d) = 80
(5-d) * (5+d) = 80/5
(5-d) * (5+d) = 16
25 - d² = 16
d² = 9
d = + or - 3.
Finally, the three numbers will be 2, 5, and 8. On the flipside, their sum and product are 15 and 80.
Can you please help!!
What is an
equation of the line that passes through the points (-3,-2) and (3,6)?
Answer:
y = 4/3x + 2
Step-by-step explanation:
y2 - y1/ x2 - x1
6 - (-2)/ 3 - (-3)
= 8 / 6
= 4/3
y = 4/3x + b
6 = 4/3(3) + b
6 = 4 + b
2 = b
Farmers have learned how to grow watermelons
in the shape shown at the right. What
three-dimensional figure is the watermelon?
Answer:
it looks like a cube to me lol
Hi guys please help me out I would appreciate it thank you so much
Answer:
D) Angle VUX
Step-by-step explanation:
If 24 apples represents 30% of her apple supply. How many total apples does Jasmine have?
Answer:
She has 80 apples in all.
Step-by-step explanation:
24=30%
(24÷3)=(30÷3)%
8=10%
(8×10)=(10×10)%
80=100%
A coach records the ages of the players on two of her teams. Which statement about the ages of the students is true? A The range of ages is the same for both teams.The range of ages is the same for both teams. B The mode(s) of the ages is the same for both teams.The mode(s) of the ages is the same for both teams. C The mean age of the players on the volleyball team is less than the mean age of the players on the baseball team.The mean age of the players on the volleyball team is less than the mean age of the players on the baseball team. D The median age of the players on the volleyball team is greater than the median age of the players on the basketball team.
Answer:
Bro u need to put in the graph or the chart or something
Step-by-step explanation:
Help
Help
Help
Help. Help help help help help help help help
help pls! I will mark u brainliest if its correct. but pls dont put one of those links.. ty
This is a rectangular prism,
Here length = 16 m
Width = 6 m
Height = 3 m
Surface area of rectangular prism = 2( bl + lh + hb )
Where,
b – base length of the rectangular prism.
l – base width of the rectangular prism.
h – height of the rectangular prism.
Putting these values, surface area = 2(16×6 + 16×3+ 3×6)
= 2( 96+48+18) = 2×162 = 324m
hope you get it well :)
Is this correct? Answer if you know the answer and correct me if I am wrong.
Answer: Is correct trust me.
Step-by-step explanation:
In the figure, angle D measures 71° and angle G measures 37°. What is the measurement of angle A?
Answer:
No u
Step-by-step explanation:
Answer : M{A}=72
This is a triangle, meaning the total degree will be 180.
8-50. What is the area of a regular decagon if the length of each side is 20 units? Show all your work.
Answer:
3077.68
Step-by-step explanation:
the Area of the regular decagon is 3077.68
The area of the decagon with side length of 20 units is -
A = 1000√(5 + 2√5) square units.
What is Area?Area is a collection of two - dimensional points enclosed by a single dimensional line. Mathematically, we can write area -
V = ∫∫F(x, y) dx dy
Given is a regular decagon with length of each side is 20 units
The area of the regular decagon is -
A = (5/2)a²√(5 + 2√5)
We have {a} = 20. So, we can write that -
A = (5/2)(20)²√(5 + 2√5)
A = (5/2) x 400 x √(5 + 2√5)
A = 5 x 200 x √(5 + 2√5)
A = 1000√(5 + 2√5)
Therefore, the area of the decagon with side length of 20 units is -
A = 1000√(5 + 2√5) square units.
To solve more questions on areas, visit the link-
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Carl wants some ice cream. The probability that he will get the following flavors are: Flavor Probability Chocolate chip 0.25 Caramel Critters 55% Blueberry cheesecake 1/5 Order the ice cream flavors according to their chances of availability from least to most likely.
The chances of availability from lest to most likely is Blueberry cheesecake, Chocolate chip and Caramel Critters.
What is the probability?Probability determines the chances that an event would happen. The probability the event occurs with certainty is 1 and the probability that the event would not occur with certainty is 0.
The chances of availability:
Blueberry cheesecake - 1/5 = 20%Chocolate chip = 0.25 = 25%Caramel Critters = 55%To learn more about probability, please check: https://brainly.com/question/13234031
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Find the value of x and then perimeter
Answer:
×= 4 and the perimeter is 18
Step-by-step explanation:
(x+3)(x-2)=14
x^2+x-6=14
x^2+x-20=0
(x+5)(x-4)=0
x=4
perimeter = 7(2)+2(2)=18
