An element with mass 590 grams decays by 19.5% per minute. How much of the
element is remaining after 15 minutes, to the nearest 10th of a gram?
22.8 gms
Step-by-step explanation:
Step 1:
Given,
Mass of the element = 590 gms
Percentage decay per minute = 19.5%
Step 2 :
Fraction of the element remaining at the end of 1 minute = 1 - 0.195 = 0.805
Hence the fraction of element remaining after 15 minutes = [tex]0.805^{15}[/tex] = 0.03863
So the mass of the element remaining after 15 minutes = 0.03863 * 590 = 22.8 rounded off to the nearest 10th of a gram
mass of the element remaining after 15 minutes = 22.8 gms
Answer:
22.8
Step-by-step explanation:
answered on delta math and got it correct
which is the graph of f(x)= √x
Answer:
ion know
Step-by-step explanation:
you figure it out
siw is a fourth as old as mother, and Mona is a fifth as old as mother. Mother is 22 years older than the two girls together. How old are they?
Answer:
Siw's age is 10 years old
Mona's age is 8 yers old
Mother's age is 40 years old
Step-by-step explanation:
Let
x ----> Siw's age
y ---> Mona's age
z ---> Mother's age
we know that
Siw is a fourth as old as mother
so
[tex]x=\frac{1}{4}z[/tex] ----> equation A
Mona is a fifth as old as mother
so
[tex]y=\frac{1}{5}z[/tex] ----> equation B
Mother is 22 years older than the two girls together.
so
[tex]z=x+y+22[/tex] ----> equation C
substitute equation A and equation B in equation C
[tex]z=\frac{1}{4}z+\frac{1}{5}z+22[/tex]
solve for z
Multiply by 20 both sides to remove the fraction
[tex]20z=5z+4z+440[/tex]
[tex]20z-9z=440\\11z=440\\z=40\ years[/tex]
Find the value of x
[tex]x=\frac{1}{4}(40)=10\ years[/tex]
Find the value of y
[tex]y=\frac{1}{5}(40)=8\ years[/tex]
therefore
Siw's age is 10 years old
Mona's age is 8 yers old
Mother's age is 40 years old
6) What is 100 percent of 14 ?
Answer: 14
Step-by-step explanation:
100% of 14
= 100/100 × 14/1
14
Answer:14
Step-by-step explanation:
Percent= 100%
From= 14
Value= [tex]\frac{100}{100}[/tex] x 14= 1x 14 =14
For the right triangle shown, which expression represents the length of CB?
A) 6 cos(35°)
B) 6 tan(35°)
C)
6
sin(35°)
D)
cos(35°)
6
Answer:
B) 6 tan(35°)
Step-by-step explanation:
from the right angle tan° = opposite / adjacent
therefore tan (35°) = (x) / 6
by multiplying 6 to both sides
tan (35°) * 6 = (x) / 6 * 6
therefore (x) = 6 tan (35°)
Answer:
B
Step-by-step explanation:
I did it on usatestprep
Solve for x (round to the nearest tenth)
y/(5 + 3) = 5/y
y/8 = 5/y
y² = 40
y = 2√10
5/x = x/3
15 = x²
√15 = x
Answer:
3.9
Step-by-step explanation:
The right triangles are all similar, so the ratio of short side to long side is the same for all:
3/x = x/5
15 = x^2 . . . . . . . . multiply by 5x
x = √15 ≈ 3.9
I need help. Can someone pls answer with working thx
Question 1:
The given formula is
[tex]I=\frac{PTR}{100}[/tex]
To make T, the subject we multiply both sides by 100:
[tex]100I=\frac{PTR}{100} \times 100[/tex]
This becomes
[tex]100I=PTR[/tex]
Divide both sides by PR
[tex]T=\frac{100I}{PR}[/tex]
b) Amanda's principal is , P=€2565
The interest rate is 3.5% p.a. that is R=3.5
We want to find how many years, her money will gain an interest of I=€718.20
We substitute into the formula for T,
[tex]T=\frac{100 \times 718.20}{2565 \times 3.5}[/tex]
This simplifies to:
T=8
Therefore it will take 8 years
2) Percentage profit
[tex] = \frac{profit}{cost \: price} \times 100\%[/tex]
The cost price of the 80 articles €200
The selling price is 3.5×80=€280
The profit =€280-€200=€80
The percentage profit is now
[tex] = \frac{80}{200} \times 100\%[/tex]
[tex] = 0.4 \times 100\%[/tex]
[tex]40\%[/tex]
The percentage profit is 40%
Question 3)
Let the original price of the calculator be x.
Then 85% of this price will be:
[tex] \frac{85}{100} \times x[/tex]
This is the same as€32.89
We equate and solve for x.
[tex] \frac{85}{100} x= 32.89[/tex]
[tex]0.85x = 32.89[/tex]
[tex]x = \frac{32.89}{0.85} [/tex]
[tex]x = 38.69[/tex]
The original price is €38.69
In below diagram, line AB is parallel to CB.
i.e. AB∥CD
∠AGF = 68°
Find ∠EGB.
Answer:
∠EGB= 68°
Step-by-step explanation:
∠EGB= ∠AGF ( vert. opp. ∠s)
∠EGB= 68°
If 2 straight lines intersect, then the angles facing opposite each other are equal. In this case, the 2 lines are AB and EF.
there are 250 toothpicks in a regular size box. a jumbo size box is made by tripling the length,width, and height of the regular box. how many toothpicks will the jumbo box hold
Answer:6750
Step-by-step explanation:
Final answer:
The jumbo-sized box, created by tripling each dimension of a regular-sized box that holds 250 toothpicks, will have a volume 27 times greater. Therefore, it will hold 250 × 27 = 6,750 toothpicks.
Explanation:
The question is asking how many toothpicks a jumbo-sized box can hold if it is created by tripling the length, width, and height of a regular-sized box that holds 250 toothpicks. To find the answer, we need to consider the volume of the boxes because the toothpicks are arranged in three-dimensional space.
The volume of a box is calculated by multiplying its length by its width by its height. If we triple each of these dimensions for the jumbo box, the new volume will be 27 times the volume of the original box (since 3 × 3 × 3 = 27). Therefore, if the original box holds 250 toothpicks, the jumbo box will hold 250 × 27 toothpicks.
To find the total number of toothpicks:
Multiply the number of toothpicks in the original box (250) by 27.
Calculate 250 × 27 to get 6,750 toothpicks.
Thus, the jumbo-sized box would be able to hold 6,750 toothpicks.
Solve for θ if sinθ = 0.62. Round answer to the nearest degree.
Answer:
Theta=38° to the nearest degree
Step-by-step explanation:
simplify xz^3*4x^4z^5
To simplify the expression xz^3*4x^4z^5, the exponents of the like bases are added together resulting in 4x^5z^8. This application of exponent rules shows that the exponents on the same base are summed during multiplication.
Explanation:To simplify the expression xz^3*4x^4z^5, we need to apply the rules of exponents. Specifically, when multiplying two expressions with the same base, we add their exponents.
Beginning with the variable x, we have an implied exponent of 1 on the standalone x, so when combined with x^4, we get x^(1+4), which simplifies to x^5.
Next, we apply the same rule to the variable z.
The expression z^3 multiplied by z^5 becomes z^(3+5), which simplifies to z^8. Finally, we multiply these results by the constant 4 to get our simplified expression:
4x^5z^8.
As an example to clarify this process, imagine a simpler case like (5^3)^4.
This could be written out as multiple fives multiplied by each other, illustrating that the exponents are indeed added together when multiplying like bases, just as we did with x and z in our original expression.
Javier moves backward so that his horizontal distance from the tree is
greater. Will the distance from his eyes to the top of the tree also be
greater? Explain.
Answer:
Yes it will be greater, he is moving back 3 feet so what you are doing is taking the leg (a2) and multiplying it by 3. Once you do, you see triangle 1 has double and so did triangle 2. Triangle 1 was originally 5.6 (rounded to 6) than went up to 26.1. Triangle 2 was originally 24 and went up to 74.7 (or 75)
Step-by-step explanation:
Triangle 1 (when multiply by 3)
a2+b2=c2
7(square to 2)+b2=27(square to 2)
49+b2=729
-49 -49
--------------------
b2=680
(square root it)
b=26.1 Rounded to nearest tenth
Triangle 2:
a2+b2=c2
7(square to 2)+b2=75(square to 2)
49+b2=5625
-49 -49
-------------------
b2=5576
(square root it)
b=74.7 (or 75 rounded to nearest tenth)
Hope this helps anyone who needs it :)
Yes, the distance from his eyes to the top of the tree will also be greater.
What is function?A function is a relation between a dependent and independent variable.
Mathematically, we can write → y = f(x) = ax + b.
Given is that Javier moves backward so that his horizontal distance from the tree is greater.
Before moving backward, the distance from Javier's eyes to the top of the tree can be written as -
cosФ = b/h
h = b/cosФ
Now, we can see that -
h [tex]\alpha[/tex] b
As base increases, the hypotenuse length or the distance from Javier's eyes to the top of the tree will increase.
Therefore, yes, the distance from his eyes to the top of the tree will also be greater.
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Fig. 1
8 Von einem Medikament ist bekannt, dass es bei der Behandlung einer Krankheit mit
80% Wahrscheinlichkeit heilend wirkt. Es werden drei Patienten damit behandelt, die an
dieser Krankheit leiden. .
a) Ein Arzt überlegt sich, dass das Medikament mit einer Wahrscheinlichkeit von 51,2%
alle drei Patienten heilt. Wie kommt er zu diesem Ergebnis?
b) Wie groß ist die Wahrscheinlichkeit, dass mindestens zwei Patienten geheilt werden?
c) Wie kann man die Behandlung der Patienten mit einem Urnenexperiment simulieren?
Diskutiere, ob dann mit Zurücklegen“ oder „ohne Zurücklegen" gezogen wird.
Step-by-step explanation:
Hello This is pretty Easy But i forgot the basics
Answer:
-3, -2 1/2, -2 2/5, -2 3/10, -2
Step-by-step explanation:
Answer: from least to greatest =
-2 ; -2 3/10; -2 2/5; - 2 1/2, -3
Step-by-step explanation:
Step 1: Convert fraction to decimal
Step 2: arrange in the order
Step 3: be mindful of the sign (-)
solve each system by elimination
-x-5y-5z=2
4x-5y+4z=19
x+5y-z=-20
Answer:
x = -2 , y = -3 , z = 3
Step-by-step explanation:
Solve the following system:
{-x - 5 y - 5 z = 2 | (equation 1)
4 x - 5 y + 4 z = 19 | (equation 2)
x + 5 y - z = -20 | (equation 3)
Swap equation 1 with equation 2:
{4 x - 5 y + 4 z = 19 | (equation 1)
-x - 5 y - 5 z = 2 | (equation 2)
x + 5 y - z = -20 | (equation 3)
Add 1/4 × (equation 1) to equation 2:
{4 x - 5 y + 4 z = 19 | (equation 1)
0 x - (25 y)/4 - 4 z = 27/4 | (equation 2)
x + 5 y - z = -20 | (equation 3)
Multiply equation 2 by 4:
{4 x - 5 y + 4 z = 19 | (equation 1)
0 x - 25 y - 16 z = 27 | (equation 2)
x + 5 y - z = -20 | (equation 3)
Subtract 1/4 × (equation 1) from equation 3:
{4 x - 5 y + 4 z = 19 | (equation 1)
0 x - 25 y - 16 z = 27 | (equation 2)
0 x+(25 y)/4 - 2 z = -99/4 | (equation 3)
Multiply equation 3 by 4:
{4 x - 5 y + 4 z = 19 | (equation 1)
0 x - 25 y - 16 z = 27 | (equation 2)
0 x+25 y - 8 z = -99 | (equation 3)
Add equation 2 to equation 3:
{4 x - 5 y + 4 z = 19 | (equation 1)
0 x - 25 y - 16 z = 27 | (equation 2)
0 x+0 y - 24 z = -72 | (equation 3)
Divide equation 3 by -24:
{4 x - 5 y + 4 z = 19 | (equation 1)
0 x - 25 y - 16 z = 27 | (equation 2)
0 x+0 y+z = 3 | (equation 3)
Add 16 × (equation 3) to equation 2:
{4 x - 5 y + 4 z = 19 | (equation 1)
0 x - 25 y+0 z = 75 | (equation 2)
0 x+0 y+z = 3 | (equation 3)
Divide equation 2 by -25:
{4 x - 5 y + 4 z = 19 | (equation 1)
0 x+y+0 z = -3 | (equation 2)
0 x+0 y+z = 3 | (equation 3)
Add 5 × (equation 2) to equation 1:
{4 x + 0 y+4 z = 4 | (equation 1)
0 x+y+0 z = -3 | (equation 2)
0 x+0 y+z = 3 | (equation 3)
Subtract 4 × (equation 3) from equation 1:
{4 x+0 y+0 z = -8 | (equation 1)
0 x+y+0 z = -3 | (equation 2)
0 x+0 y+z = 3 | (equation 3)
Divide equation 1 by 4:
{x+0 y+0 z = -2 | (equation 1)
0 x+y+0 z = -3 | (equation 2)
0 x+0 y+z = 3 | (equation 3)
Collect results:
Answer: {x = -2 , y = -3 , z = 3
If you multiple me by 7 add 1 then divide by 4 you get 9, what number am I.
Answer:
The number is 5
Step-by-step explanation:
I like to do the equation backwards, so x*7+1/4=9 becomes:
9*4=36
36-1=35
35/7=5
And there is your answer!!!
what’s the vertex of f(x)= (x-4)^2+7
Answer:
vertex is 4
Step-by-step explanation:
y = (x-4)^2 + 7
(x-4) (x-4)
x * x = x^2
x * -4 = -4x
-4 * x = -4x
-4 * -4 =16
x^2 - 8x + 16
y = x^2 -8x + 16 + 7
y = x^2 -8x + 23
a b c
formula to find vertex: -b / 2a
= -b / 2a
= - (-8) / 2 (1)
= 8 / 2
= 4
vertex = 4
(what i did was work out the exponent outsite the parentesis then i got the equation i wanted, and from that equation i used the formula to find the vertex and i just plugged the numbers of the equation into the formula and work it out)
Answer:
(4,7)
Step-by-step explanation:
The equation for a parabola can be written as
y = a(x-h)^2 +k where (h,k) is the vertex
given f(x) = (x-4)^2+7
The vertex is (4,7)
How do lenders benefit from loan modification?
Answer:
The lender reduces the amount of principal that the borrower owes, with no expectation of repayment. Debt Forgiveness is analogous to a principal reduction. This is a more effective way to reduce payments than either lowering the interest rate on the mortgage, or extending the terms.
Answer:
they avoid foreclosure cost
Step-by-step explanation:
took the bullet
Two positive integers have a product of 50. One
integer is twice the other. What are the
integers?
Separate the answers with a comma.
Enter the correct answer.
A mother is 1 and 3/4 times as tall as her son. Her son is 3 feet tall. How tall is the mother?
Answer:
The mom is 5 feet 3 inches
Step-by-step explanation:
Step 1: Make an equation
m = 1 3/4 * 3
Step 2: Solve
m = (4/4+3/4) * 3
m = 7/4 * 3
m = 21/4
m = 5.25
m = 5 feet 3 inches
Answer: The mom is 5 feet 3 inches
Answer:
5 and 1/4
Step-by-step explanation:
3 times 1.75 = 5.25
the sum of (-9) and a number (n) is multiplied by 1/2. the result is 20. what is the number?
Answer:
Step-by-step explanation:
1/2(-9+n)=20
n=40+9
n=49
Answer:
49
Step-by-step explanation:
Sum means add
-9+n
Multiply this by 1/2
1/2(-9+n)
This is equal to 20
1/2(-9+n) = 20
Solve
Multiply each side by 2 to get rid of the fraction
2*1/2(-9+n) = 20*2
-9+n = 40
Add 9 to each side
-9+9 +n = 40+9
n = 49
What is the answer to 2(-2-4p)+2(-2p-1)
Answer:
4p-6
Step-by-step explanation:
distribute within parenthesis:
-4+8p-4p-2
Combine like terms
4p-6
i hope this helps u
please give thx and a brainliest to level up
Answer:
2(-2-4p)+2(-2p-1)
-4-8p -4p-2
-12p-6
Step-by-step explanation:
4 2/3 - 2 1/3 plsss get me the answer
Answer:
2 1/3 or 7/3
Step-by-step explanation:
I would simplify it to 14/3 and 7/3 then subtract which you get 7/3 then simplify it to the original state which is 2 1/3. Hope this helps :)
Which pair of expressions are equivalent? 3 v + 5 minus 9 v + 2 and negative 6 v + 6 Negative 6 n + 3 minus 2 n + 2 and negative 8 n + 6 Negative 4 n + 8 + 9 n minus 2 and 5 n + 6 10 n minus 5 minus 2 n + 3 and 5 n minus 2
Answer:
Negative 4 n + 8 + 9 n minus 2 and 5 n + 6
Step-by-step explanation:
3v + 5 - (9v + 2)
3v + 5 - 9v -2 = -6v + 3
-6v + 6
(NO)
-6n + 3 - (2n + 2)
-6n + 3 - 2n - 4 = -8n - 1
-8n + 6
(NO)
-4n + 8 + 9n - 2 = 5n + 6
5n + 6
(YES)
Answer:
The answer is c
Can you guys please help me?
A kite is flying on a 100-foot string tied to a stake in the ground. If the kite has a vertical height of 80 feet, how far is it from the stake to a point on the ground directly below the kite?
A.)60
B.)100
C.)180
D.)80
Answer:
D
Step-by-step explanation:
What signs for 4 & 6 will get you to a 2?
Answer:
-4 and +6
Step-by-step explanation:
The signs of 4 and 6 that will get you to a 2 are
[tex] - 4[/tex]
and
[tex] + 6[/tex]
Putting the two together gives
[tex] - 4 + 6 = 6 - 4 = 2[/tex]
This means that, starting from -4 on the number line , move 6 units to the right.
This will land you on 2
The employees at a bank ordered 4 turkey sandwiches and 2 salads at a local deli. The total cost of the order was $25. If a salad cost 1 dollar less than a turkey sandwich, what is a cost of a turkey sandwich and the cost of a salad?
Answer:
A turkey sandwich would cost $6.50 and the salads would be $5.50
Step-by-step explanation:
The cost of a turkey sandwich is $4.5 and the cost of a salad is $3.5.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that the employees at a bank ordered 4 turkey sandwiches and 2 salads at a local deli. The total cost of the order was $25.
The cost will be calculated as,
4t + 2s = 25
s = t - 1
Substitute the value of s in the first equation,
4t + 2s = 25
4t + 2(t - 1)= 25
4t + 2t - 2 = 25
6t - 2 = 25
t = $4.5
The cost of salad will be,
S = t - 1
S = 4.5 - 1
S = $3.5
Therefore, the cost of a turkey sandwich is $4.5 and the cost of a salad is $3.5.
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Itemized Charitable Contributions The average charitable contribution itemized per income tax return in Pennsylvania is $792 . Suppose that the distribution of contributions is normal with a standard deviation of $108 . Find the limits for the middle 58% of contributions. Use a graphing calculator and round the answers to two decimal places.
Final answer:
To find the limits for the middle 58% of charitable contributions in Pennsylvania, calculate the Z-scores and use them to determine the lower and upper limits.
Explanation:
Given data: Average charitable contribution = $792, Standard deviation = $108
Find middle 58% limits:
Calculate the Z-scores for the 58% middle region: Z-score for lower limit = -0.29, Z-score for upper limit = 0.29Use Z-score formula: Lower limit = Mean - Z-score * Standard deviation, Upper limit = Mean + Z-score * Standard deviationSubstitute values to find the limits: Lower limit = $757.28, Upper limit = $826.72In 1929, Farmer Giles took his animals to market. He had some cows, sheep and chickens to sell. Cows sold for ten pounds each. Sheep sold for one pound each. Chickens were sold for one pound for a brood of eight (they were only sold in whole broods). Farmer Giles had a good day and sold 100 animals for exactly £100. The day did have its down side; he had to sell Daisy, his favourite cow. How many sheep did Farmer Giles sell?
Answer:
90 sheep?
Step-by-step explanation:
1 sheep= 1 pound
1 cow= 10 pounds
total amount made= 100 pounds
100 ÷ 1 (the cost for sheep) = 100 sheep
100 - 90 (the cost of cows) = 10
10 sheep
Answer:
21 sheep
Step-by-step explanation:
100 = x + y + 8z
10x + y + z = 100
x = 1
y + 8z = 99
y + z = 90
x = 2
y + 8z = 98
y + z = 80
x = 3
y + 8z = 97
y + z = 70
x = 4
y + 8z = 96
y + z = 60
x = 5
y + 8z = 95
y + z = 50
x = 6
y + 8z = 94
y + z = 40
x = 7
y + 8z = 93
y + z = 30
7z = 63
z = 9
y = 30 - 9 = 21
x = 7 (7 cows)
y = 21 (21 sheep)
z = 9 (9×8 = 72 chicken)
what is the value of the function f(x)=2x+5 when x=3
a) 8
b) 11
c) 13
d) 28
f(x) =2x+5
=2*3+5
=6+5
=11
=b
Answer:
b) 11
Step-by-step explanation:
step 1: f(3)=2(3)+5
substitute (plug in) the value of x which in here is 3
step 2: 2(3)=6 +5= 11
follow order of operations
P - parenthesis
E- exponent
MD- multiply and divide from left to right
AS- add and subtract from left to right