The value of e³ = 20.079.
What is Euler's number , e ?e is an irrational number , It is a numerical constant used in mathematical constant .
The value of e = 2.718
It is asked in the question to determine the value of e³
Therefore
e³ = ( 2.718)³
e³ = 20.079
Therefore the value of e³ = 20.079.
The image of the calculation is attached with the answer.
To know more about Euler's number
https://brainly.com/question/573685
#SPJ1
find the distance between the pair of points (7,6) and (4,10)
Answer:
5 units
Step-by-step explanation:
to find out the answer for this you must first find the distance between 7 and 4 and then 6 and 10
then you would square them and then add them
lastly you would take the square root of that and youd have your answer
so
7 - 4 = 3
6 - 10 = -4 (just use 4)
3^2 + 4^2 = 9 + 16 = 25
then you take the square root of this
sqrt(25) = 5
that is your answer
To solve this problem, you will use the Distance Formula to find the distance between two coordinate points.
Set Up the Distance FormulaThe Distance Formula is defined as follows:
[tex]d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex]
We must title our points by the standard coordinate naming system:
[tex](x_1, y_1) \ \text{and} \ (x_2, y_2)[/tex]
Therefore, our points can be labeled:
[tex]x_1 = 7[/tex][tex]y_1 = 6[/tex][tex]x_2 = 4[/tex][tex]y_2 = 10[/tex]Substitute Known Values for VariablesNow, substitute the known values as the variables in the Distance Formula:
[tex]d=\sqrt{(4 - 7)^2 + (10 - 6)^2}[/tex]
You must know the BPEMDAS acronym, which stands for:
Brackets
Parentheses
Exponents
Multiplication
Division
Addition
Subtraction
Simplify the expression using BPEMDAS:
[tex]d=\sqrt{(-3)^2 + (4)^2}[/tex]
Remember that when a number is raised to the 2nd power, it is the same thing as multiplying the number by itself:
[tex]-3\times-3 = 9[/tex]
[tex]4\times4=16[/tex]
Simplify further by removing the parentheses:
[tex]d=\sqrt{9+16}[/tex]
Compute the additive operation:
[tex]d=\sqrt{25}[/tex]
Simplify the RadicandThe number that is placed inside of a square root symbol (or a radical symbol) is referred to as the radicand.
In this situation, the radicand is 25.
To simplify the radicand, you may either use a calculator to compute the result, or you can determine which number raised to the 2nd power will result in a final answer of 25.
In this case, we can determine that 5² will result in a final answer of 25.
[tex]5^{2} = 25[/tex]
The final answer is 5 units.
Help with a composition of two functions! 20 pts for a solution!
The function (fog)(x) would be (x^4 + 10x² + 27). Also, the domain of (fog)(x) is all the real numbers.
What is a function?The function is a type of relation, or rule, that maps one input to specific single output.
Given;
f(x) = x² + 2
g(x) = x² + 5
so, to take the composition of f and g (fog) replace the x in f(x) with g(x);
(fog)(x) = (x² + 5)² + 2
(fog)(x) = (x^4 + 25 + 10x² )+ 2
(fog)(x) = (x^4 + 10x² + 27)
Also, the domain of (fog)(x) is all the real numbers.
Learn more about function here:
https://brainly.com/question/2253924
#SPJ1
Question 10 of 10
Rewrite the following linear equation in slope-intercept form. Write your
answer with no spaces.
v+2=4(x-3)
Answer here
The radius of a circle is 5 cm (to the nearest cm). What is the smallest value
that the circumference could have?
Answer: 31 cm.
explanation:
Given, Radius = 5 cm (near to)
this means the radius is near 5 cm. It can be 4.9, 4.99, 4.999.....or 5.01,5.001,5.001...... and so on.
So, the circumference of the circle is given by:-
Circumference = 2× [tex]\pi[/tex] × r
⇒ 2 × 22/7 × 5 (for the smallest value, we'll consider r as 5 and then round off the circumference to the smallest value)
⇒ 220/7 ≈ 31.43 cm
rounding off to the smallest integer, we have
Circumference = 31 cm.
The smallest value that the circumference could have is 10 [tex]\pi[/tex]cm
Using Formula,
Circumference = 2 [tex]\pi \\[/tex] r
Radius = 5 cm
So, C = 2 [tex]\pi[/tex] 5
C = 10 [tex]\pi[/tex]cm
Therefore circumference is 10 [tex]\pi[/tex]cm.
To learn more about the circumference of circles, refer to :
https://brainly.com/question/2407529
#SPJ2
2. Ahmed has ¢15.25 and spent $7.50 at the
Total Shop. How much money does he have
left?
Answer:
D)¢ 8.75
Step-by-step explanation:
that is my answer please
||
Writing ratios for real-world situations
There are 3 red marbles and 8 blue marbles in a bag.
Answer:
3:11 or 8:11
Step-by-step explanation:
I think your missing some imformation! I'm guessing the ratio of picking a red marble is 3:8 while a blue marble is 8:3
The stock of Company A lost 2% today to $73.50. What was the opening price of the stock in the beginning of the day?
The opening price of the stock in the beginning of the day will be $75.
What is the percentage?The quantity of anything is stated as though it were a fraction of a hundred.
The stock of Company A lost 2% today to $73.50.
Let x be the opening price of the stock in the beginning of the day.
Then the opening price of the stock in the beginning of the day will be
0.98 · x = 73.5
x = 73.5 / 0.98
x = $75
More about the percentage link is given below.
https://brainly.com/question/8011401
#SPJ1
Somebody help me solve;
(1)A fair die is being rolled.
a) Find the probability that at least 5 rolls are needed to obtain the first
one.
b) Find the probability that it will take fewer than seven rolls to obtain the
second one if the first one occurs on the third roll.
Select the correct answer. Consider functions h and k. Every x value has a relationship in k of x. What is the value of (h o k)(1)? A. 28 B. 4 C. 1 D. 0
Answer: 0
Step-by-step explanation:
[tex](h \circ k)(1)=h(k(1))=h(4)=\boxed{0}[/tex]
Please help!
Julie wants to show that a quadrilateral with vertices J(2, 3), K(2,7), L(-2,7), M(-2,3) is a square. Using the distance formula, what should she find the length of each side to be?
8
4
3
2
Answer:
4 is the answer
Answer:
4 is the answer I believe
John is buying a new car. The value of one car he is considering is $20,000. The value of the car as it ages can be modeled by the function V = 20 , 000 ( 0 . 84 ) t , where t is the number of years from the time of purchase. One of the factors John is using to make his decision is the value of the car over time until it reaches half its original value. What values of domain are reasonable for the given function in this context?
A. all real numbers greater than or equal to 0 and less than 2.8
B. all real numbers greater than or equal to 10,000 and less than or equal to 20,000
C. all real numbers greater than or equal to 0
D. all real numbers greater than or equal to 0 and less than 4
Option D is the correct answer.
All real numbers greater than or equal to 0 and less than 4.
What is Domain?The domain of a function is the set of its possible inputs, i.e., the set of input values where for which the function is defined.
Here, The function of the car value is given as:
V(x) = 20000 X (0.84)ˣ
When the car reaches half its value, we have:
V(x) = 10000
Substitute V(x) = 10000 in V(x) = 20000 * (0.84)ˣ
10000 = 20000 X (0.84)ˣ
Divide both sides by 20000
0.84ˣ = 0.5
Take the logarithm of both sides
x log(0.84) = log(0.5)
Divide both sides by log(0.84)
x = 4
This means that the maximum value of x is 4.
Thus, all real numbers greater than or equal to 0 and less than 4.
Learn more about domain at:
brainly.com/question/1770447
#SPJ1
dollars per pint
pints per dollar.
▼
Find the unit rates. If necessary, round your answers to the nearest hundredth.
$6.79 for 16 pints
Answer:
0.42 dollar per pint
2.36 pints per dollar
Pandas: There is a well-studied panda population in Wuyipeng. In 1981 there were 25 pandas and the researchers determined that they had an annual population grows by 6.6% each year. Which of the following models correctly represents this data?
The equation that models the data on pandas is FV = 25(1.066)^t.
What models the data?The formula for calculating future value of the pandas is:
FV = P (1 + r) ^n
FV = Future value P = Present value R = annual population growthN = number of yearsFV = 25(1.066)^t
To learn more about future value, please check: https://brainly.com/question/18760477
#SPJ1
What are the values for y when x is 1, 3, and 5?
y = 3x + 10
Answer:
13, 19, 25.
Step-by-step explanation:
y=3x+10
-------------
x=1, y=3(1)+10=3+10=13
x=3, y=3(3)+10=9+10=19
x=5, y=3(5)+10=15+10=25
Need help with this geometric question
Answer: A
Step-by-step explanation:
[tex]V=\frac{1}{2}(6)(4)(2)=\boxed{24}[/tex]
Factoring using GCF 15cd + 30c^2d^2
Answer:
15cd(1 + 2cd)
Step-by-step explanation:
greatest common factor is 15cd
[tex]15cd*1 + 15cd*2cd\\= 15cd(1 + 2cd)[/tex]
please help me.
Which quantity is multiplied by pi () in the formula for the area of a circle?
A. d
OB. 2
O c. d
D. r
????????????????????
Answer:
[tex]\text{C.} \ \ \ {\left(\textit{AB}\right)}^{2} \ = \ \left(\textit{AC}\right)\left(\textit{AD}\right)[/tex]
Step-by-step explanation:
This problem uses the concept of the tangent-secant theorem which describes the relationship of the segments a secant line and a tangent line with the associated circle. This theorem is found as Proposition 36 in Book 3 of Euclid's Elements.
As shown in the figure attached below, segment AB (in blue) forms a tangent with the circle BCD and segment AD (in orange) is the secant where it intersects the circle at point C.
Furthermore, let two segments (in green) be drawn one from point C and point D.
To show that [tex]\triangle ABC[/tex] is similar to [tex]\triangle ADB[/tex], notice that both triangles share a common angle [tex]\angle BAC[/tex]. Additionally, by the alternate segment theorem, [tex]\angle ABC[/tex] is equal to [tex]\angle ADB[/tex]. Therefore, [tex]\angle ACB[/tex] is also equal to [tex]\angle ABD[/tex].
Hence, [tex]\triangle ABC[/tex] is indeed similar to [tex]\triangle ADB[/tex]. This implies the ratio of the sides of both triangles is the same. Particularly,
[tex]\displaystyle{\frac{AB}{AD} \ \ = \ \ \frac{AC}{AB}}[/tex].
Then, performing cross multiplication yields
[tex]{\left(AB\right)}^{2} \ \ = \ \ \left(AC\right)\left(AD\right)[/tex].
Therefore, the product of the lengths of the secant segment and its external segment is equal to the square of the length of the tangent segment.
what is the slope of the line represented by the equation y = 4/5x -3?
Answer:
4/5
Step-by-step explanation:
Slope
Slope y-intercept of a line: y = mx + b
Where m is the slope and b is the y-intercept.
[tex]\sf y =\dfrac{4}{5}x-3\\\\\boxed{Slope = \dfrac{4}{5}}[/tex]
hi brainly user! ૮₍ ˃ ⤙ ˂ ₎ა
⊱┈────────────────────────┈⊰
[tex]\large \bold {ANSWER}[/tex]
[tex]\large \boxed { \large \sf \green{m = \frac{4}{5} }}[/tex][tex]\large \bold {EXPLANATION}[/tex]
This line is in slope-intercept form, y=mx+b, where m represents the slope and b represents the y-intercept.
So that we can conclude that the slope is 4/5.
Find the value of x which satisfies the following equation.
log2(x−1)+log2(x+5)=4
[tex]\quad \huge \quad \quad \boxed{ \tt \:Answer }[/tex]
[tex]\qquad \tt \rightarrow \: x = 3[/tex]
____________________________________
[tex] \large \tt Solution \: : [/tex]
[tex]\qquad \tt \rightarrow \: log_{2}(x - 1) log_{2}(x + 5) = 4[/tex]
[tex]\qquad \tt \rightarrow \: log_{2} \{(x - 1)(x + 5) \} = 4[/tex]
[ log (x) + log (y) = log (xy) ]
[tex]\qquad \tt \rightarrow \: ( x - 1)(x + 5) = {2}^{4} [/tex]
[tex]\qquad \tt \rightarrow \: {x}^{2} + 5x - x - 5 = 16[/tex]
[tex]\qquad \tt \rightarrow \: {x}^{2} + 4x - 5 - 16 = 0[/tex]
[tex]\qquad \tt \rightarrow \: {x}^{2} + 4x -21 = 0[/tex]
[tex]\qquad \tt \rightarrow \: {x}^{2} + 7x - 3x - 21 = 0[/tex]
[tex]\qquad \tt \rightarrow \: x(x + 7) - 3(x + 7) = 0[/tex]
[tex]\qquad \tt \rightarrow \: (x + 7)(x - 3) = 0[/tex]
[tex]\qquad \tt \rightarrow \: x = - 7 \: \: or \: \: x = 3[/tex]
The only possible value of x is 3, since we can't operate logarithm with a negative integer in it.
[tex]\qquad \tt \rightarrow \: x = 3[/tex]
Answered by : ❝ AǫᴜᴀWɪᴢ ❞
Y=-1/3x+2
A.
B.
C.
D.
Answer:
C
Step-by-step explanation:
The slope is -1/3, so it will go down and to the right. Down 1, to the right 3 (rise over run!)
The y intercept is 2.
4. During a camping trip, a group went one-third of the total distance by boat, 10km by foot and One-sixth of it by riding horses. Find the total distance of the trip. Plss answer thiissss
Answer:
20 km
Step-by-step explanation:
So 1/3 = 2/6
2/6 = distance traveled by boat + 1/6 traveled by riding horses = 3/6 = 1/2
Meaning the 10 km by foot left is the other half
How to do this please?️
Step-by-step explanation:
Using dimensional analysis, let convert km to cm.
[tex] \frac{4cm}{1km} \times \frac{km}{100000 \: cm} [/tex]
Cancel out the km
[tex] \frac{4cm}{100000 \: cm} [/tex]
[tex] \frac{1}{25000 } [/tex]
So n= 25000
iii.
Dimensional Analysis
[tex] \frac{3 \: cm}{1 } \times \frac{km}{100000 \: cm} [/tex]
[tex] \frac{3 \: km}{100000} [/tex]
Or
[tex]0.00003 \: km[/tex]
The table below shows the results of a screening program organized by Level 300 students of the department physiotherapy of the College Health Sciences of the University of Ghana. Complete the table and answer the questions below it using your understanding of probability and its applications to biomedical data.
True Diagnosis for presence of E. Coli
Test results Disease No Disease Total
Positive 35 15
Negative 10 60
Total
a. What is the efficiency of the test? 3 marks
b. What is the sensitivity of the screening kit? 3 marks
c. What is the specificity of the screening kit? 3 marks
d. What is the predictive value (PPV) of the test? 3 marks
e. What is the negative predictive value (NPV) of the test? 3 marks
(15 marks)
2. In double blinded randomized control trial for hypertensive patients attending Cocoa Clinic, thirty (30) 50-59-year-old were admitted into an intervention program for 6 weeks. During the trial, the average improvement in their systolic blood pressure was 15. The average improvement in systolic blood pressure in the general population of hypertensive patients is 20 with a standard deviation of 2.
i. What are the null and alternative hypotheses in this RCT? (2 marks)
ii. What tail is required in this test? (2 marks)
iii. What is the most appropriate statistical test for this study? (2 marks)
iv. State the assumptions of the test. (2 marks)
v. Test the above hypothesis using the appropriate statistical tool (7 marks)
Critical value =3.6
vertical angles must : check all that apply
A. be complementary
B. have the same vertex
C. be congruent
D. be acute
Answer: B and C
Step-by-step explanation: For A, vertical angles can be complimentary or supplementary. For D, vertical angles can sometimes be acute but not always.
y=x^2 -2x -3 im not sure how to solve this
Answer:
It is solved on a graph
Step-by-step explanation:
A quadratic graphical solution.
Complete the remainder of the
table for the given function rule:
y = ²x + 4
X-6 -3 03 3 6
y 0 [?] [] [] []
Answer: 2, 4, 6, 8
Step-by-step explanation:
Just plug x into the equation for each one.
x = -3
[tex]y=\frac{2(-3)}{3} +4\\y=\frac{-6}{3} +4\\y=2[/tex]
With this one, you can see it is a linear equation and for every increase of 3 on x, y in increased by 2.
x -6 -3 0 3 6
y 0 2 4 6 8
According to the graph, what is the factorization of x² - 5x+6?
OA. (x-3)(x+2)
OB. (x+3)(x-2)
OC. (x+3)(x+2)
OD. (x-3)(x-2)
y xẻ 5Xtộ
Answer:
OD.(x-3)(x-2)
Step-by-step explanation:
we need two numbers (negative ir positive) that multiply to get 6 abd add to get -5.
so its OD
as -3×-2=6
and -3+-2=-5
Juan is learning about like terms in his math class. He must check all the combinations below that are like terms which ones should he check? 3x and x 1/4 and 0.5 -m and 8m -xy2 and 2xy2 y and y2 4xy and -5x2y m and n -7 and 6
Answer:
he should check
3x and x
1/4 and 0.5
-m and 8m
-xy2 and 2xy2
Step-by-step explanation:
Answer:
The answer is A B C D H
Step-by-step explanation:
You invested $7,000 into a money market account for 10 years at an annual interest rate of 3%. How much is the accrued interest?
The total interest accrued is $2,407.41 if you invested $7,000 into a money market account for 10 years at an annual interest rate of 3%.
What is invested amount?An investment is a payment made to acquire the securities of other firms with the intention of making a profit.
We are assuming the interest will be compounded annually
[tex]\rm A = P(1+\dfrac{r}{n})^{nt}[/tex]
Where A = Final amount
P = Principal amount
r = annual rate of interest
n = how many times interest is compounded per year
t = How long the money is deposited or borrowed (in years)
We have:
P = $7000
r = 3% = 0.03
t = 10 years
n = 1
[tex]\rm A = 7000(1+\dfrac{0.03}{1})^{1\times10}[/tex]
After calculating:
A = $9407.41
I = A - P = 9407.41 - 7000 = $2,407.41
Thus, the total interest accrued is $2,407.41 if you invested $7,000 into a money market account for 10 years at an annual interest rate of 3%.
Learn more about the invested amount here:
brainly.com/question/16995381
#SPJ1