Answer:
Approximately 0.0121 will be left after 15 days.
Step-by-step explanation:
We can write an exponential function to model the situation. The standard exponential function is given by:
[tex]y=a(b)^x[/tex]
Let x represent the amount of days. Since the initial amount is 3,820 pounds, a = 3820. It decays at a rate of 57% per day. So, after one day, it will only have 100% - 57% = 43% or 0.43 of its previous amount. So, b = 0.43.
Hence, our function is:
[tex]y=3820(0.43)^x[/tex]
After 15 days, x = 15. Substitute and evaluate:
[tex]y(15)=3820(0.43)^{15}\approx 0.0121\text{ pounds}[/tex]
For what values of x is the expression below defined?
x +3 + x1 - x
O A. 35xs1
O B. 3 > XS-1
O C. 3 >x>1
O D. -3 sx< 1
Answer:
D. - 3 ≤ x < 1
Step-by-step explanation:
The numerator cannot be the square root of a neg. no.
So, x + 3 ≥ 0 or x ≥ -3
The denominator cannot be a neg. no. or 0.
So, 1 - x > 0
1 > x or x < 1
So, altogether - 3 ≤ x < 1
Therefore, D is the correct answer.
HOPE IT MAY HELP YOU
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if f(x)=3x-1 and g(x)=x+2, find (f-g)(x)
Answer:
2x - 3
Step-by-step explanation:
3x-1 - (x+2)
3x-1 -x -2
2x - 3
Question 7 of 27
Which of the following is an element in the sample space for first rolling a
number cube and then tossing a coin?
Answer:
TH is an element on the sample space for first rolling a die and then tossing a coin. A coin has both heads and tails.
The sample space for rolling a number cube and then tossing a coin is:
{(1, H), (1, T), (2, H), (2, T), (3, H), (3, T), (4, H), (4, T), (5, H), (5, T), (6, H), (6, T)}
The elements can be any of the elements in the sample space.
What is sample space?It is the total number of possible outcomes from a given set.
We have,
The sample space for rolling a number cube and then tossing a coin consists of all possible outcomes from rolling the number cube and tossing the coin.
Each outcome is a pair consisting of a number from 1 to 6 (the possible outcome from rolling the number cube) and a head or tail (the possible outcome from tossing the coin).
Therefore, an element in the sample space can be represented as an ordered pair (n, h/t), where n is the number rolled on the number cube and h/t is the outcome of the coin toss (either head or tail).
So,
The sample space for rolling a number cube and then tossing a coin is:
{(1, H), (1, T), (2, H), (2, T), (3, H), (3, T), (4, H), (4, T), (5, H), (5, T), (6, H), (6, T)}
For example, (3, H), (6, T), (1, H), and (4, T) are all elements in the sample space.
Thus,
The sample space for rolling a number cube and then tossing a coin is:
{(1, H), (1, T), (2, H), (2, T), (3, H), (3, T), (4, H), (4, T), (5, H), (5, T), (6, H), (6, T)}
Learn more about sample space here:
https://brainly.com/question/24273864
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if α and β are the zeroes of the polynomial 3x^2 - 8x − 3 then find the value of i) α^2 + β^2 ii) α^-1 + β^-1
Step-by-step explanation:
the answer is in the above image
a)A fruitseller bought 50kg of the fruits. He sold 30kg of fruits for the cost price of 35kg of fruits and he sold the remaining quantity for the cost Price of 18kg of fruits. calculate his profit or loss percent in the total transaction.
A fruitseller bought 50kg of the fruits. He sold 30kg of fruits for the cost price of 35kg of fruits and he sold the remaining quantity for the cost Price of 18kg of fruits. calculate his profit or loss percent in the total transaction.
Answer:-let the cost price be 50x
→he sells 30kg of fruits on it's CP of 35 kg
→CP of 30kg fruits = 30x
→SP of 35kg fruits = 35x
→remaing fruits are 20kg
→he sells 20kg of fruits on CP of 16kg
→CP of 20kg fruits = 20x
→SP of 20kg fruits = 16x
→total CP is = 50x
→total SP is = (35 + 16) = 51x
→SP > CP (it means profit)
→profit = SP-CP
→ 51-50
→ 1
Now,→ Profit% = gain/CP × 100
→ Profit% = 1/50 × 100
→ 2%
Hence the fruit seller had a profit% of 2%.
solve for x
7x/2+5=8
o x=6/7
o x=26/7
o x=21/2
o x=91/2
Answer:
x = 6/7
Step-by-step explanation:
7x/2+5=8
Subtract 5 from each side
7x/2+5-5=8-5
7x/2 = 3
Multiply each side by 2/7
2/7 * 7/2x = 3*2/7
x = 6/7
[tex]\huge{\boxed{\bold{ANSWER}}}[/tex]
╭⋟───────────────
[tex] \frac{7x}{2} + 5 = 8 \\ \frac{7x}{2} = 8 - 5 \\ \frac{7x}{2} = 3 \\ 7x = 3 \times 2 \\ 7x = 6 \\ x = \frac{6}{7} [/tex]
So, the answer is [tex]\boxed{x = \frac{6}{7}}[/tex]
───────────────⋞╯
ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ
꧁❣ ʀᴀɪɴʙᴏᴡˢᵃˡᵗ2²2² ࿐
120 to 150 find the percentage of increase
Answer:
25%
Step-by-step explanation:
increase by = 150 - 120
=30
increase percent = 30/120 * 100%
=3000/120
=25 %
Answer:
25%
Step-by-step explanation:
Percentage increase=(new value-original value)/(original value) x 100%
Percentage increase=(150-120)/120 x 100%
Percentage increase=30/120 x 100%
Percentage increase=1/4 x 100%
Percentage increase=25%
Name the identical triangles and measurement of side BA
Step-by-step explanation:
BE/BC=BD/BA
tHE TWO SIMILAR TRIANGLES ARE BED AND BC. tHE PROPORTION ABOVE REPRESENTS USE OF THE TWO SIMILAR TRIANGLES.
4/(4 + 10) = 5/(5+X) Cross Multiply
4(5+x) = 5(4+10)m
20 +4x=20 +50 subtract 20 from both sides
4x = 50 divide by 4
x =12.5
Can someone help me? It's urgent and thank you!
Answer:
6 percent
Step-by-step explanation:
None
simplify the question
Answer:
=−4√2
I got this when simplified.
what value of x makes this preportion true? (2.12.3) (15 points)
Answer:
A
Step-by-step explanation:
Given
[tex]\frac{x}{6}[/tex] = [tex]\frac{36}{24}[/tex] ( cross- multiply )
24x = 216 ( divide both sides by 24 )
x = 9 → A
Find the slope between (2, 10) and (9, 1). Substitute in the following numbers that are missing
Answer:
Rise (1-10)=-9
Run=(9-2)=7
Step-by-step explanation:
The slope is Rise/Run = -9/7
Drag the right word to the word that means the opposite
multiply
Answer:
divide is the right and exact antonym(opposite word) from multiply according to maths.
Step-by-step explanation:
this is 100% correct!
Answer:
divide
hope this helps you.
A scale drawing of a room is shown below. In the drawing, the room is 7 inches long and 5 inches wide. What is the actual area of the room?
75ft^2
37 1/2 ft^2
150 ft^2
50 ft^2
please help TvT
Answer:
the actual area of the room is 35 inches
Step-by-step explanation:
you have to multiply 7 by 5.
Answer the following
Answer:
Step-by-step explanation:
What is 63.48 rounded off to 1 decimal place?
Answer:
63.5
Step-by-step explanation:
What is the value of x? Round your answer to the nearest Whole number
X
A 10
C 17
B 1
D 13
Answer:
B
Step-by-step explanation:
Using Pythagoras' identity in the right triangle
x² + 9² = 15²
x² + 81 = 225 ( subtract 81 from both sides )
x² = 144 ( take the square root of both sides )
x = [tex]\sqrt{144}[/tex] = 12 → B
Solve -2x + 6 = -20. -7 -13 7 13
Answer:
13
Step-by-step explanation:
-2x + 6 = -20
Step 1 subtract 6 from both sides
6 - 6 cancels out
-20 - 6 = -26
We now have -2x = -26
Step 2 divide both sides by -2
-2x/-2 = x
-26/-2 = 13
We're left with x = 13
The diagram shows a rectangle PQRS.
PQ = 14 cm and QR = 9 cm.
The point A lies on PS so that PA = 5 cm.
The point Blies on SR so that BR = 8 cm.
Answer:
a) The area of the triangle AQB is 43 square centimeters.
b) The length of the line segment AQ is approximately 14.866 centimeters.
Step-by-step explanation:
a) The procedure consist in subtracting the areas of triangles APQ, ASB and BRQ of the area the rectangle, that is to say:
[tex]A = (9\,cm)\cdot (14\,cm) - \frac{1}{2}\cdot (5\,cm)\cdot (14\,cm) - \frac{1}{2}\cdot (8\,cm)\cdot (9\,cm) -\frac{1}{2}\cdot (4\,cm) \cdot (6\,cm)[/tex]
[tex]A = 43\,cm^{2}[/tex]
The area of the triangle AQB is 43 square centimeters.
b) The length of the line segment AQ is determined by Pythagorean Theorem:
[tex]AQ = \sqrt{AP^{2}+PQ^{2}}[/tex] (1)
[tex]AQ = \sqrt{(5\,cm)^{2}+(14\,cm)^{2}}[/tex]
[tex]AQ \approx 14.866\,cm[/tex]
The length of the line segment AQ is approximately 14.866 centimeters.
What is the equation of the line that passes through the points
(-3, 6) and (-3, 8)?
Answer:
[tex]x=-3[/tex]
Step-by-step explanation:
Hi there!
Linear equations are typically organized in slope-intercept form: [tex]y=mx+b[/tex] where m is the slope and b is the y-intercept (the value of y when x is 0).
Typically, we would start with finding the slope of the line. However, notice how the two x-coordinates in the given points are both -3. This means that this is a vertical line, with an undefined slope.
Vertical lines have their equations organized differently: [tex]x=d[/tex] where d is the x-intercept, or the value of x when y is 0.
Because the x-coordinates in all the points a vertical lines passes through are the same, the x-intercept would therefore be -3. Plug this into the equation [tex]x=d[/tex]:
[tex]x=-3[/tex]
I hope this helps!
Sanjana wants to buy a computer that she can use for school next year which is 9 months away. She discovers that she can buy a computer for $400 at a discount electronics store in town. How much does Sanjana have to save every MONTH to buy the computer? ANSWER: $400 / 9 months = $44.44/mo How much does Sanjana have to save every WEEK to buy the computer? ANSWER: $44.44 / 4 weeks = $11.11/wk How much does Sanjana have to save every DAY to buy the computer? ANSWER: $11.11 / 7 days = $1.59/day
Answer: ANSWER: $400 / 9 months = $44.44/mo How much does Sanjana have to save every WEEK to buy the computer? ANSWER: $44.44 / 4 weeks = $11.11/wk How much does Sanjana have to save every DAY to buy the computer? ANSWER: $11.11 / 7 days = $1.59/day
Step-by-step explanation:
what is 11010^2 - 1101^2
Answer:
-120,007,899
Step-by-step explanation:
Given :
[tex]11010^{2} -1101^{2}[/tex]
It can be solved as :
[tex]11010^{2} -1101^{2}[/tex]
121,220,100-1212201
-120,007,899
Therefore, answer will be -120,007,899
[tex]\huge\textsf{Hey there!}[/tex]
[tex]\mathsf{11,010^2 - 1,101^2}[/tex]
[tex]\mathsf{11,010^2}[/tex]
[tex]\mathsf{= 11,010 \times 11,010}[/tex]
[tex]\mathsf{= \boxed{\bf 121,220,100}}[/tex]
[tex]\mathsf{\bold{121,220,100} - 1,101^2}[/tex]
[tex]\mathsf{1,101^2}[/tex]
[tex]\mathsf{= 1,101 \times 1,101}[/tex]
[tex]\mathsf{= \boxed{\bf 1,212,201}}[/tex]
[tex]\mathsf{121,220,100 - \bf 1,212,201}[/tex]
[tex]\mathsf{= \boxed{\underline{\bf 120,007,899}}}[/tex]
[tex]\boxed{\boxed{\huge\textsf{Answer: \underline{\bf 120,007,899}}}}\huge\checkmark[/tex]
[tex]\large\textsf{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
Using the following image, find GH given HI = 1 and GI =
= 9.
Answer:
8
Step-by-step explanation:
Answer:
[tex]{ \tt{GH =GI - HI }} \\ = 9 - 1 \\ GH = 8[/tex]
If the cos of an angle is .75, what is the csc?
A. 1/√(5)
B. 9/√(6)
C. 6/√(2)
D. 3/√(9)
E. 4/√(7)
F. 2/√(3)
Answer: Choice E. 4/sqrt(7)
This is the same as writing [tex]\frac{4}{\sqrt{7}}[/tex]
=================================================
Explanation:
0.75 = 3/4
Recall that cosine is the ratio of adjacent over hypotenuse.
That means if cos(theta) = 3/4, then the adjacent is 3 units and the hypotenuse is 4 units.
Through the pythagorean theorem, we would then find that
a^2+b^2 = c^2
a = sqrt(c^2 - b^2)
a = sqrt(4^2 - 3^2)
a = sqrt(7)
This is the opposite side of reference angle theta.
From here, we can say
csc(angle) = hypotenuse/opposite
csc(theta) = 4/sqrt(7)
which points to choice E as the final answer.
At the start of 2014, Mike's car is worth 12000. the car depreciates by 30 percent every year. how much is his car worth in 2017
Answer:
$4,116
Step-by-step explanation:
Worth of Mike's car at the start of 2014 = $12,000
If the car is said to depreciates every year by 30% = 30/100 = 0.3
The worth of the car at the start of 2017 is what we are to determine.
This means that the car depreciated by 30% (0.3) for 3 years since 2014 (2017 - 2014 = 3 yrs)
The worth at the start of 2017 would be calculated as follows:
12,000 × (1 - 0.3)³
= 12,000 × (0.7)³
= 12,000 × 0.343
= 4,116
Worth of the car at the start of 2017 would be $4,116
Please help me lovee<3
Atividade 12 Observe o sistema de equações abaixo. {m−3n=16m+5n=−8 Quais são os valores de "m" e "n" que satisfazem esse sistema de equações? m=1en=3. m=7en=–3. m=52en=–12. m=–20en=–12.
Responder:
m = 7; n = - 3
Explicação passo a passo:
Dada a equação:
m − 3n = 16m + 5n = −8
Resolvendo a equação:
m − 3n = 16 - - - (1)
m + 5n = - 8 - - - (2)
Subtraia 1 de 2
m - m - 3n - 5n = 16 - - 8
-3n - 5n = 16 + 8
-8n = 24
n = 24 / - 8
n = - 3
Coloque n = - 3 em (1)
m − 3n = 16
m - 3 (-3) = 16
m + 9 = 16
m = 16 - 9
m = 7
Show √7 , √5 on a number line.
please hurry up my cissy and oppa
Answer:
Draw the number line like in the picture.
Step-by-step explanation:
√5 is about 2.236, meaning it's kind of close to 2.25.
√7 is about 2.646, meaning it's very close to 2.625.
Which of the following functions is graphed below?
Answer:
Answer B - y=[x]+7
Step-by-step explanation:
A normal [x] function has a slope of one, a y intercept of 0, and all the other basic values.
7 changes this.
Looking at the graph, we see that the y intercept is now 7.
How can this be? x was added to by 7.
If it was subtracted, it would be -7, not postive 7.
So the answer is y=[x]+7
Hope this helps!
Answer:
A
Step-by-step explanation:
when we accept X to 0, y should be 7 and when we accept X to 2 or 4 or 6, y should be in order to 9, 11 and 13.
In a grade seven class, 18 students have pets, and 12 do not. What percent of the class has a pet?
I will mark brainliest to the first correct answer
urgent pls
