The number of cases on day 68 would be 23 thousands to the nearest thousand
The day the number infected would be 74000 would be 83 days
How to write the exponential functionExponential function is a function of the form Nt = No e^(kt)
where
Nt is the number infected
t is the time in days,
No is the initial number infected, and
k is the rate.
Considering the given problem,
solving for the factor
at t = 0
Nt = No e^(kt)
7000 = No e^(52k)
11000 = No e^(58k)
dividing both equations
11000/7000 = e^(58k - 52k)
㏑ (11/7) = 6k
0.452 = 6k
k = 0.075
so the factor is 0.075
Solving for the initial value No
7000 = No e^(52 * 0.075)
7000 = No e^(3.9)
7000 = No x 49.4
No = 7000 / 49.4
No = 141.7
No = 142
The number of cases on day 68
Nt = No e^(kt)
Nt = 141.7 e^(0.075 * 68)
Nt = 23241 approximately 23000
The day number infected would be 74000
Nt = No e^(kt)
74000 = 141.7 e^(0.075t)
522.23 = e^(0.075t)
㏑ (522.23) = 0.075t
6.258 = 0.075t
t = 83.44
t = 83 days to the nearest whole number
Learn more about exponential function here:
https://brainly.com/question/29716012
#SPJ1
The product of seven and the difference between a number and ten
Answer:
7(x-10)
Step-by-step explanation:
7×(x-10)
you ×7by whatever x-10 is
The given statement will be equal to 7(x - 10) as per linear equation.
What is a linear expression?A linear expression is an expression that has one or multiple variables with the highest degree of 1.
Let, x is any number.
Now, the difference between the number and 10 will be = (x - 10).
Therefore, the product of seven and the difference between a number and ten is = 7 × (x - 10).
Therefore, 7(x - 10) is the algebraic expression represent the given statement.
Learn more about linear expression here: https://brainly.com/question/11562707
#SPJ2
Set up and solve an equation for the value of x. Use the value of x and a relevant angle relationship in the diagram.
(please also show an step by step process of getting EAF!)
Answer:
x = 27 , ∠ EAF = 27°
Step-by-step explanation:
∠ GAF = 90° , then
∠ GAC + ∠ CAF = ∠ GAF , that is
x + 63 = 90 ( subtract 63 from both sides )
x = 27
∠ DAE = 90°
since CD is a straight angle of 180° , then
∠ CAE = 90° , so
∠ CAF + ∠ EAF = ∠ CAE , that is
63° + ∠ EAF = 90° ( subtract 63° from both sides )
∠ EAF = 27°
PLEASE HELP THIS IS DUE TODAY
In conclusion the value that correctly fills in the blank in the table is 0.69.
Why it is?
To find the relative frequency of boys, we need to use the information given in the frequency table. We know that the total number of boys is 120 - 37 = 83, since the total number of students is 120 and the number of girls is 37.
We can then calculate the relative frequency for boys by dividing the number of boys who prefer math or social studies (40 + 43 = 83) by the total number of students (120):
Relative frequency for boys = (40 + 43) / 120 ≈ 0.69
Rounding to the nearest hundredth, we get:
Relative frequency for boys ≈ 0.69
Therefore, the value that correctly fills in the blank in the table is 0.69.
To know more about Frequency related questions, visit:
https://brainly.com/question/28104726
#SPJ1
In the state of New Mexico, 85% of the land is above 4,000 feet in elevation.
Which fraction is equivalent to 85%?
A 4
5
B
100
17
20
1
85
Answer: 17/20
==============================
Work Shown:
x% = x/100
85% = 85/100
85% = (17*5)/(20*5)
85% = 17/20
------------
You could also go through all the answer choices to see what works and what doesn't.
For instance, 4/5 = 0.80 = 80%, so that is a non-answer.
But 17/20 = 0.85 = 85% which is the answer.
CAN SOMEONE ANSWER THIS!!!!!!!!
Answer:
Step-by-step explanation:
2 now help me :(
...........,.........,
Answer:
Step-by-step explanation:bmmmv m
Does this function have an output? If not, explain why.
Given function is,
\(f(x)=\sqrt[]{x}+1\)So the value for x subsituted here is -2. so we get,
\(\begin{gathered} f(-2)=\sqrt[]{-2}+1 \\ f(-2)=i\sqrt[]{2}+1 \end{gathered}\)So the requred answer is the function cannot have a real value, because it has a negative sign inside the root. so it is not possible for this function to have an real value output.
But the function can have an output in Imaginary value ( i ).
PLS LOOK AT PIC AND HELP ME!! I’m being timed pls help :((
Carissa recently retired, and has $540,000 in savings. She wants to invest as much as possible in a safe CD account paying 1.2% interest, and as little as possible in a riskier bond paying 4.7% interest. She needs to earn $14,880 a year in interest to cover expenses above SSI. How much should she invest in each account?
Answer:
Don't awnser the bots
Step-by-step explanation:
They will try ro scam you
Find X.
Round to the nearest tenth.
Answer:
X ≈ 117.9°
Step-by-step explanation:
The law of cosines formula is given. Solving it for C, we find ...
C = arccos((a^2 +b^2 -c^2)/(2ab))
where a and b are the sides adjacent to the angle of interest.
Here, we have ...
X = arccos((50^2 +55^2 -90^2)/(2·50·55)) = arccos(-2575/5500)
X ≈ 117.9°
In 1950, a U.S. population
model
was y = 151. (1.013)^t-1950 million
people, where t is the year. What did
the model predict the U.S. population
would be in the year 2000?
In a case whereby In 1950, a U.S. population model was y = 151. (1.013)^t-1950 million people, where t is the year, the model predict the U.S. population would be 288 million in the year 2000.
What is population model ?Population models are mechanical theories that link alterations in population structure and density to responses at the individual level (life history features in eco-evolutionary theory or vital rates in demographic theory).
The model was given as y=151x(1.013)^t-1950
where the future time t = 2000
Then we can substitute the given year 2000 as the value of 't'
then we will have y=[151x(1.013)^(2000-1950)] = 288 million
Learn more about model at:
https://brainly.com/question/24448358
#SPJ1
what are steps to solving 30,002-28,596
Answer:
1,406
Step-by-step explanation:
Select the correct answer. Simplify the following expression.
The simplified exponential expression for this problem is given as follows:
D. 1/49.
How to simplify the exponential expression?The exponential expression for this problem is defined as follows:
\(7^{-\frac{5}{6}} \times 7^{-\frac{7}{6}}\)
When two terms with the same base and different exponents are multiplied, we keep the base and add the exponents.
Hence the exponent is given as follows:
-5/6 - 7/6 = -12/6 = -2.
The negative exponent is moved to the denominator, hence:
1/7² = 1/49.
More can be learned about exponent rules at https://brainly.com/question/11975096
#SPJ1
The length of a rectangle is 5 cm more than its width. If the perimeter is 58cm, calculate:
(a) Write an equation to show the perimeter of the rectangle ?
(b) calculate:
I.width
II.length
III. the area of the rectangle
The equation to show the perimeter of the rectangle is P = 2(2w + 5)
Writing an equation to show the perimeter of the rectangleFrom the question, we have the following parameters that can be used in our computation:
Length = 5 more than the width
Also, we have
Perimeter = 58
This means that
P = 2(w + 5 + w)
P = 2(2w + 5)
Calculating the dimensions and the areaIn (a), we have
P = 2(2w + 5)
This gives
2(2w + 5) = 58
So, we have
2w + 5 = 29
2w = 24
w = 12
Next, we have
l = 12 + 5
l = 17
Lastly, we have
Area = 17 * 12
Area = 204
Read more about area at
https://brainly.com/question/24487155
#SPJ1
You deposit $700 into a bank account. Every year that account increases by 5%.
Determine the Initial Value:
CAN ANYONE HELP ME PLZZZ
Answer:
i thank its. 140% not 100% sure
Find x and y in the following figures
Answer:
x = 15 , y = 21
Step-by-step explanation:
using Pythagoras' identity
in Δ ABD
x² + 8² = 17²
x² + 64 = 289 ( subtract 64 from both sides )
x² = 225 ( take square root of both sides )
x = \(\sqrt{226}\) = 15
in Δ ADC
8² + DC² = 10²
64 + DC² = 100 ( subtract 64 from both sides )
DC² = 36 ( take square root of both sides )
DC = \(\sqrt{36}\) = 6
then
y = x + DC = 15 + 6 = 21
Fill in the blank with the correct answer choice. A ___________ has exactly one pair of parallel lines. a. square c. trapezoid b. parallelogram d. rectangle Please select the best answer from the choices provided A B C D
Answer: C
Step-by-step explanation:
The rest of the quadrilaterals provided have 2 pairs of parallel lines.
The choice is:
CExplanation:
The quadrilateral that has exactly one pair of parallel lines is called a trapezoid.
Here's what a trapezoid looks like :
\(\setlength{\unitlength}{1 cm}\begin{picture}(0,0)\linethickness{0.3mm}\qbezier(0,0)(0,0)(1,3)\qbezier(5,0)(5,0)(4,3)\qbezier(1,3)(1,3)(4,3)\qbezier(3,0)(8.2,0)(0,0)\put(-0.5,-0.3){$\sf A$}\put(5.3,-0.3){$\sf B$}\put(4.2,3.1){$\sf C$}\put(0.6,3.1){$\sf D$}\end{picture}\)
Hence, this makes C the correct choice.3. A rectangular room measures 18 feet by 24 feet. Carpeting for the floor costs $52 per square y
What is the total price to carpet this floor?
Answer:
$2496
Step-by-step explanation:
You want to know the cost of carpeting a 18 ft by 24 ft room with carpet that costs $52 per square yard.
AreaThe dimensions of the room in yards are (18 ft)/(3 ft/yd) = 6 yd, by (24 ft)/(3 ft/yd) = 8 yd.
In square yards, the area is ...
(6 yd)(8 yd) = 48 yd²
CostThe cost of one square yard of carpet is $52, so the cost of 48 square yards will be 48 times as much.
(48 yd²)($52/yd²) = $(48·52) = $2496
The total price to carpet the floor is $2496.
__
Additional comment
We're reluctant to call this the total price, as there are usually additional charges for tax, carpet pad, delivery, installation, removal and disposal of old flooring, and possibly additional materials such as tack strips or thresholds. Repairing mold or water damage, or leveling the floor, can also add cost.
<95141404393>
pls help me solve this
The results of operations between vectors are, respectively:
Case A: u + w = <- 3, - 1>
Case B: - 6 · v = <6, 6>
Case C: 3 · v - 6 · w = <- 21, - 15>
Case D: 4 · w + 3 · v - 5 · u = <39, 4>
Case E: |w - v| = √(4² + 3²) = 5
How to determine the operations between vectors
In this problem we must determine the operations between vectors, this can be done by following definitions:
Vector addition
v + u = (x, y) + (x', y') = (x + x', y + y')
Scalar multiplication
α · v = α · (x, y) = (α · x, α · y)
Norm of a vector
|u| = √(x² + y²)
Now we proceed to determine the result of each operation:
Case A:
u + w = <- 6, - 3> + <3, 2>
u + w = <- 3, - 1>
Case B:
- 6 · v = - 6 · <- 1, - 1>
- 6 · v = <6, 6>
Case C:
3 · v - 6 · w = 3 · <- 1, - 1> - 6 · <3, 2>
3 · v - 6 · w = <- 3, - 3> + <- 18, - 12>
3 · v - 6 · w = <- 21, - 15>
Case D:
4 · w + 3 · v - 5 · u = 4 · <3, - 2> + 3 · <- 1, - 1> - 5 · <- 6, - 3>
4 · w + 3 · v - 5 · u = <12, - 8> + <- 3, - 3> + <30, 15>
4 · w + 3 · v - 5 · u = <39, 4>
Case E:
|w - v| = |<3, 2> - <- 1, - 1>|
|w - v| = |<4, 3>|
|w - v| = √(4² + 3²) = 5
To learn more on vectors: https://brainly.com/question/31900604
#SPJ1
In Exercises 33–36, determine if the specified linear transforma- tion is (a) one-to-one and (b) onto. Justify each answer. 14. Let T : R2 R2 be a linear transformation with standard matrix A = aaz], where a, and a, are shown in the figure. Using the figure, draw the image of under the transformation T. [-] 1 |
If values prοvided then transfοrmatiοn οf vectοrs can be determined.
What is vectοr?In mathematics, a vectοr is a mathematical οbject that represents a quantity with bοth a magnitude and a directiοn. Vectοrs can be used tο represent physical quantities such as velοcity, fοrce, and acceleratiοn, as well as mοre abstract cοncepts such as cοlοr, sοund, and temperature.
Withοut seeing the figure οr the values οf a1, a2, and a3, it is nοt pοssible tο determine whether the specified linear transfοrmatiοn T : R2 → R2 is οne-tο-οne and οntο.
Hοwever, in general:
A linear transfοrmatiοn T : Rn → Rm is οne-tο-οne if and οnly if its kernel (i.e., the set οf vectοrs that are mapped tο the zerο vectοr) is trivial, meaning that the οnly vectοr that maps tο the zerο vectοr is the zerο vectοr itself.
A linear transfοrmatiοn T : Rn → Rm is οntο if and οnly if its range (i.e., the set οf all vectοrs that can be οbtained by applying T tο sοme vectοr in Rn) is equal tο Rm.
Tο determine whether a linear transfοrmatiοn is οne-tο-οne οr οntο, we can examine its prοperties and characteristics, such as its kernel, range, rank, and determinant. We can alsο use geοmetric intuitiοn and visualizatiοn tο understand hοw the transfοrmatiοn maps pοints and vectοrs in Rn tο Rm.
If yοu prοvide mοre infοrmatiοn abοut the values οf a1, a2, and a3 and the figure that shοws the standard matrix A, it can help yοu determine whether the transfοrmatiοn is οne-tο-οne and οntο and draw the image οf the vectοr [-1, 1] under the transfοrmatiοn T.
Therefοre, if values prοvided then transfοrmatiοn οf vectοrs can be determined.
To know more about vector visit :
https://brainly.com/question/27854247
#SPJ1
Complete question -
In Exercises 33–36, determine if the specified linear transformation is (a) one-to-one and (b) onto. Justify each answer. 14. Let T : R2 R2 be a linear transformation with standard matrix A = aaz], where a, and a, are shown in the figure. Using the figure, draw the image of under the transformation T. [-] 1
HELPPPPPPPPP ASAPPPPPPP!!!!!!!!
Answer:
49 × 3.14 = 153.86
Step-by-step explanation:
1/3 × 3.14 × 49 × 3 = 153.86
translate in terms of x then solve the algebra equation the sum of a number and 3 is subtracted from 10 the result is 5
Answer:
x=2
Step-by-step explanation:
10 - (x + 3) = 5
To solve for x, we can start by simplifying the left side of the equation:
10 - (x + 3) = 5
10 - x - 3 = 5
7 - x = 5
Next, we can isolate x on one side of the equation by subtracting 7 from both sides:
7 - x = 5
7 - x - 7 = 5 - 7
-x = -2
Finally, we can solve for x by dividing both sides of the equation by -1:
-x = -2
x = 2
Therefore, the solution to the equation is x = 2.
Given triangle MAT is an isosceles triangle and point H is the midpoint if MT. Prove triangle MHA is congruent to triangle THA
Answer:
There is everything in the image
The Side-Angle-Side postulate is satisfied. Then the triangle ΔMHA and ΔTHA are congruent with each other.
What is the triangle?A triangle is a three-sided polygon with three angles. The angles of the triangle add up to 180 degrees.
In an isosceles triangle, the two legs of the triangle are congruent and their opposite angles too.
A triangle MAT is an isosceles triangle and point H is the midpoint of MT.
In triangle ΔMHA and ΔTHA, we have
AH = AH (Common sides)
MH = HT (H is the midpoint of MT)
∠AMH = ∠ATH (Isosceles angles)
The Side-Angle-Side postulate is satisfied. Then the triangle ΔMHA and ΔTHA are congruent with each other.
More about the triangle link is given below.
https://brainly.com/question/25813512
#SPJ2
The system below is consistent and has more unknowns than equations so has an infinite number of solutions. Solve this system by specifying appropriate free variables, solving for the other variables in terms of the free ones then expressing the general solution as a sum of scalar multiples of fixed column vectors. X1 + x3 + 2x4 + X5 + 3x6 = 1 2x1 + x2 + 2x3 + 4x4 +3.25 + 10x6 = 5 3x1 + x2 + 3x3 + 6x4 + 6x5 + 15x6 = 8
The solution of the system is then given by:
x = t[1 -1 1 0.5 0.5 0.33] + s[0 -2 1 1 -2 1]
This is the general solution of the system in the form of a sum of scalar multiples of fixed column vectors.
The system of linear equations can be written in matrix form as:
[1 0 1 2 1 3 | 1]
[2 1 2 4 0 10| 5]
[3 1 3 6 6 15| 8]
where the augmented matrix is [A | B].
To solve the system using the method of specifying appropriate free variables, we first convert the coefficient matrix into reduced row echelon form using Gaussian elimination.
In reduced row echelon form, the first non-zero element of each row (known as the leading entry) is 1, and the leading entries of lower rows are to the right of the leading entries of higher rows.
Applying Gaussian elimination to the coefficient matrix, we get:
[1 0 1 2 1 3 | 1]
[0 1 0 2 -2 7| 0]
[0 0 0 0 0 0| 0]
We can see that there are two non-zero rows, indicating that the system has two independent equations.
We can choose two of the variables to be free variables, and express the other variables in terms of the free ones.
Let's choose x1 and x3 as the free variables.
We can find x2 as follows:
x2 = -x1 - 2x3 + 7
And we can find x4, x5 and x6 as follows:
x4 = (1 - x1 - x3)/2
x5 = 1 - x1 - 2x3 + 2x4
x6 = (1 - x1 - x3 - 2x4)/3
So the general solution of the system can be expressed as a sum of scalar multiples of fixed column vectors:
x1 = t
x2 = -t - 2s + 7
x3 = s
x4 = (1 - t - s)/2
x5 = 1 - t - 2s + (1 - t - s)/2
x6 = (1 - t - s)/3
where t and s are scalars.
For more questions on Gaussian elimination to the coefficient matrix
https://brainly.com/question/28681914
#SPJ4
Graph the line x=2 please help
Answer:
Step-by-step explanation:
Since x=2 is a vertical line, there is no y-intercept
Patricia was having fun playing a card game. To win the game, she
needed the next two cards dealt to be yellow cards. There are 12
cards left in the deck, and three are[yellow.
What is the probability that the two cards dealt to Patricia will both
be yellow?
Answer:
25
%
Step-by-step explanation:
te puedes subcribirte a mi canal se llama navegando con incognito
The probability that the two cards dealt to Patricia will both be yellow
is 1/4.
What is the probability?In mathematics, probability refers to the likelihood of an occurrence occurring. Simply put, how frequently the incidence occurs over a certain period of time.
Given, there are 12 cards left in the deck, and three are yellow.
To find the probability:
The probability= number of yellow cards in the deck / total number of cards in the deck.
= 3/12
= 1/4
Therefore, the probability is 1/4.
To learn more about the probability;
brainly.com/question/11234923
#SPJ2
A dodecahedral die (one with 12 sides numbered from 1 to 12) is tossed once. Find the following probability. (Enter your probability as a fraction.)
The number on the upward face is not 4.
Answer:
11/12
Step-by-step explanation:
::::::::::::::::
The probability of the number on the upward face is not 4 would be 11/12 or 0.92 by calculating as follows:
Solution:
The possible outcomes for rolling a dodecahedral die, numbered from 1 to 12, once is given below in the term of sample space S:
S = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12}.
Therefore,
n(S) = 12
Event A: Sample space in the case of not having number 4 on the upward face:
A = {1, 2, 3, 5, 6, 7, 8, 9, 10, 11, 12}
therefore,
n(A) = 11
the probability of an event can be calculated by:the required probability = \(\dfrac{\text{Number of times event A, occurred}}{\text{Number of times this experiment performed}}\)
then putting the space values here;
= \(\frac{n(A)}{n(S)}=\frac{11}{12}=0.92\)
Thus, the required probability is 0.92
Learn more about the probability of an event:
https://brainly.com/question/24028840
write an equation that you can use to slove for x enter your answer in the box
The value of angle x is 133 degree
And the equation of line be of the form,
⇒ y - y₁ = 133(x - x₁)
In the given line,
one angle is of 47 degree
And other is x degree
To find the value of x,
Since we know that,
The angle of line is 180 degree.
Therefore,
⇒ x + 47 = 180
⇒ x = 133 degree
Therefore slope of this line be 133 degree
Now let this line is passing through (x₁, y₁)
Hence,
The equation of line be,
⇒ y - y₁ = (slope)(x - x₁)
⇒ y - y₁ = 133(x - x₁)
Learn more about the equation of line visit:
https://brainly.com/question/18831322
#SPJ1
Write a function rule for
Answer:
x^2
Step-by-step explanation:
1^2=1
2^2=4
3^2=9
A
of a number is a value that, when multiplied by itself,
gives the number.
Answer:
In mathematics, we call multiplying a number by itself “squaring” the number. We call the result of squaring a whole number a square or a perfect square. A perfect square is any number that can be written as a whole number raised to the power of 2. For example, 9 is a perfect square.
Step-by-step explanation: