The substance's half-life is 4.7 days if the 11-gram sample of a substance that’s used to treat thyroid disorders has a k- the value of 0.15
What is exponential decay?During exponential decay, a quantity falls slowly at first before rapidly decreasing. The exponential decay formula is used to calculate population decline and can also be used to calculate half-life.
We have an exponential function:
[tex]\rm N = N_oe^{-kt}[/tex]
Plug N = N⁰/2
[tex]\rm N_o/2 = N_oe^{-kt}[/tex]
[tex]\rm \dfrac{1}{2} = e^{-0.15t}[/tex]
Solving for t:
t = 4.62≈ 4.7 days
Thus, the substance's half-life is 4.7 days if the 11-gram sample of a substance that’s used to treat thyroid disorders has a k- the value of 0.15
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7. Solve the inequality. c – 12 > –1 c < –13 c > 11 c > –13 c > 13
To solve a one-variable-inequality, isolate the variable on one side of the inequality. This can be done by using the four mathematical operations.
What is the four mathematical operations?
The four mathematical operations include the following:
AdditionSubtractionMultiplicationDivisionThese operations can be used to solve equations, inequalities, and more.
[Solving] Simplifying the inequality:Given inequality:
c – 12 > –1As stated in the previous section, let's isolate the variable (c) using the four mathematical operations. Clearly, we have to add both sides by 12 of the inequality as "c" is being subtracted by 12. Therefore, we get:
⇒ c – 12 + 12 > –1 + 12⇒ c > –1 + 12Simplify the right-hand-side to obtain the simplified inequality:
⇒ c > 11Therefore, option B is the correct/best choice.
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I’m confused nd stuck
Answer:
B. (4,2)
Step-by-step explanation:
The answer is where the lines intersect.
Hope this helps!
If not, I am sorry.
Answer:
(4,2)
Step-by-step explanation:
the solution is where both lines intersect. We would write the point as (x,y). That’s why the answer is (4,2) not (2,4)
Find the area of the triangle, given that sin(C) = 1/2. Round the answer to the nearest whole number.
A. 26 square units
B. 75 square units
C. 150 square units
D. 299 square units
Answer: 75 square units
Given:
sin(C) = 1/2
Area of Triangle:
= 1/2 × a × b × sin(C)
= 1/2 × 13 × 23 × 1/2
= 74.75
≈ 75 square units
Omar is going to an amusement park. The price of admission into the park is $25, and once he is inside the park, he will have to pay $5 for every ride he rides on. How much money would Omar have to pay in total if he goes on 8 rides? How much would he have to pay if he goes on r rides?
Cost with 8 rides:
Cost with r rides:
Need answer quickly!
The cost of 8 rides will be equal to $65 and the equation for the r rides will be equal to $25 + $5(r).
What is an equation?Mathematical expressions with two algebraic symbols on either side of the equal (=) sign are called equations.
This relationship is illustrated by the left and right expressions being equal to one another. The left-hand side equals the right-hand side is a basic, straightforward equation.
As per the given information in the question,
Price of admission into the park = $25
Price to pay for every ride in the park = $5
(a)
Then, the price to pay for 8 rides will be,
$25 + $5(8)
= $25 + $(40)
= $65
(b)
Then, the equation for the price to pay for r rides will be equal to,
$25 + $5(r)
Here, r is the number of rides.
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Sam and Joe are working to solve 6 divided 1/4 Sam thinks the answer is 24. Joe thinks the answer is . Explain who is correct. Use a model to help explain your thinking.
Answer:
Sam is correct
Step-by-step explanation:
6 divided by 1/4.
This is asking how many times can 1/4 go into 6? This might be a calculation needed if Sam brought 6 pies to the party of 24 people. How should Sam cut the pies so that each person gets an equal share, and there is none left over. This is a serious issue because Sam only knows how to cut pies into quarters. He always gets confused when having to split a pie into 5, 6, 7, 8 or even 9 equal pieces. Sam decided that if he cuts the pies into quarters, that he'll have exactly 24 pieces of pie, all equal in size, and exactly enough to feed everyone.
Sam says 24 is wrong. I don't see the figure that Sam has in mind, but it apparently is not 24.
When a pie is cut into quarters, it will serve 4 people. If one has 6 pies, and everyone takes only one slice, then there would be 4 x 6 or 24 pieces of pie, exactly what is needed: one for each person.
whats is 452 divided by2
Answer:
452/2 = 226
Step-by-step explanation:
45 divided by 2 is 22 and the remainder would be 12, which could be divided by 2 again to get 6. Add this to the total and you get 226.
Hope this helps! :D
write √a^8a^3 as an algebraic expression using a rational exponent
Answer:
A
Step-by-step explanation:
I assume that the whole expression a⁸a³ is under the square root.
then remember 2 things :
1. when multiplying the same base variable (or constant) the result is that single base variable (or constant) to the power of the sum of the exponents.
e.g. x³x² = x⁵ because
x×x×x × x×x = x×x×x×x×x = x⁵
2. a square root as exponent is 1/2.
a cubic root is 1/3 and so on.
therefore
sqrt(a⁸a³) = sqrt(a¹¹) = a^11/2
Please help with a good explanation
Solve for x.
x2 + 2x + 1 = 0
Answer:
x = -1
Step-by-step explanation:
factor and you get
(x + 1)(x + 1) or (x + 1)^2
now set it equal to zero
x + 1 = 0
subtract one from both sides
x = -1
A regular polygon has 18 sides.
What is the size of each of its interior angles?
Give your answer in degrees (º).
Answer:
160 degrees.
Step-by-step explanation: The interior angle of a polygon formula. S=(n-2) x 180/n. The equation would look like p=(18-2) x 180/18=160.
Question 8(Multiple Choice Worth 1 points)
(07.05 MC)
Use the key features of the polynomial f(x) = 2x³ + 5x² - 2x - 3 to describe its end behavior.
O The left side continues down, and the right side continues up.
O The left side continues down, and the right side continues down.
O The left side continues up, and the right side continues down.
O The left side continues up, and the right side continues up.
The key feature is that; The left side continues down, and the right side continues up.
How to describe the behavior of a Polynomial?We are given the polynomial;
Polynomial function;
f(x) = 2x³ + 5x² - 2x - 3
Leading coefficient = 2
Degree of the polynomial = 3
Since, degree of the polynomial given is odd and the leading coefficient is positive.
Therefore, left side of the graph will continue down and the right side continues up.
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A Baker Had 1/3 Cups Of Suger . he Added 1/9 Cups To It Find The Total Number Of Sugar . ( Can Someone Help Me Out)
The total number of sugar will be 9/4.
What is the unitary method?The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.
A Baker Had 1/3 Cups Of Sugar.
he Added 1/9 Cups To It
Let the number of sugar be x
x (1/3) + 1/9x = 1
3x + 1x = 9
4x = 9
x = 9/4
Hence, the total number of sugar will be 9/4.
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Round to the nearest tenth wa hit is the perimeter of the triangle
Answer:
D. 11.8 cm
Step-by-step explanation:
This triangle is a 30°-60°-90° triangle. There is a shortcut to find the lengths of the sides of a 30°-60°-90° triangle. The longest side is the hypotenuse. The longest side is double the shortest side or, the shortest side is half the longest side. Here the longest side is 5, so the short leg (shortest side) is 2.5
The other shortcut is that the longer leg is the
short leg×sqroot3
Here, the short leg is 2.5, so the long leg is 2.5×sqroot3
Perimeter is all the sides added together.
5 + 2.5+ 2.5×sqrt3
Do the times first.
5 + 2.5 + 4.3
= 11.8
Sal's Sandwich Shop sells wraps and
sandwiches as part of its lunch specials. The
profit on every sandwich is $2 and the profit on
every wrap is $3. Sal made a profit of $1,470
from lunch specials last month. The equation
2x + 3y = 1,470 represents Sal's profits last
month, where x is the number of sandwich
lunch specials sold and y is the number of wrap
lunch specials sold.
Graph the function. On the graph, make sure to label the intercepts. You may graph your equation by hand on a piece of paper and scan your work or you may use graphing technology.
Answer:
it will be something like that
Step-by-step explanation:
u should modify the equation to be
y = (1470-2x)/3
A principal of 2000 is invested at 3.25% interest, compounded annually. How much will the investment be worth after 10 years?
Answer:
$2,753.79
Step-by-step explanation:
Compound Interest Formula
[tex]\large \text{$ \sf A=P\left(1+\frac{r}{n}\right)^{nt} $}[/tex]
where:
A = final amountP = principal amountr = interest rate (in decimal form)n = number of times interest applied per time periodt = number of time periods elapsedGiven:
P = $2,000r = 3.25% = 0.0325n = 1t = 10Substitute the given values into the formula and solve for A:
[tex]\implies \sf A=2000\left(1+\frac{0.0325}{1}\right)^{(1 \times 10)}[/tex]
[tex]\implies \sf A=2000(1.0325)^{10}[/tex]
[tex]\implies \sf A=2753.788608...[/tex]
Therefore, the value of the investment after 10 years will be $2,753.79 to the nearest cent.
Evaluate f^3+11g-4hf
3
+11g−4hf, cubed, plus, 11, g, minus, 4, h when f=3f=3f, equals, 3, g=2g=2g, equals, 2 and h=7h=7h, equals, 7.
An expression is defined as a set of numbers, variables, and mathematical operations. The value of f³+11g-4h, when the value of f=3, g=2, and h=7 is 21.
The correct question is:
Evaluate the value of f³+11g-4h, where the value of f is 3, the value of g is 2 and the value of h is 7.
What is an Expression?In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.
The value of f³+11g-4h, when the value of f=3, g=2, and h=7 is,
f³+11g-4h
= (3)³ + 11(2) - 4(7)
= 27 + 22 - 28
= 21
Hence, The value of f³+11g-4h, when the value of f=3, g=2, and h=7 is 21.
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Answer:
21
Step-by-step explanation:
What is the product? Assume x>0.
(√3x + √5)√15x+2√30
O 3x√√5+3√165x+10-√√6
O 3x√5 +6√10x +5√3x +10√/6
O 3x√5+10√6
0 6√3x+10√6
Step-by-step explanation:
well you can distribute the sqrt(15x) to the (√3x + √5) and then combine the radicals using the product property of radicals: [tex]\sqrt[n]{a} * \sqrt[n]{b} = \sqrt[n]{ab}[/tex].
[tex](\sqrt{3x} + \sqrt{5})\sqrt{15x} + 2\sqrt{30}\\(\sqrt{3x} * \sqrt{15x}) + (\sqrt{5} * \sqrt{15x}) + 2\sqrt{30}\\\sqrt{45x^2} + \sqrt{75x} + 2\sqrt{30}\\[/tex]
Now we can simplify the radicals using the same property we used to combine them but instead of combining into one radical we'll separate them into two radicals where one of the radicals simplifies into a number without a radical
[tex](\sqrt{9} * \sqrt{x^2} * \sqrt{5}) + (\sqrt{25} * \sqrt{3x}) + 2\sqrt{30}\\3x\sqrt{5} + 5\sqrt{3x} + 2\sqrt{30}[/tex]
Hey can I have help with this question. An explanation would be great as I find things difficult to understand :)
Answer:
[tex](0, -\frac{15}{2} )[/tex]
Step-by-step explanation:
When a straight line crosses the y-axis, the point that touches it is called the y-intercept. We can find the y-intercept by plugging in zero as the value for 'x', as any x value on the y-axis is zero. So plugging in x = 0 into the equation '3x - 2y = 15', we get -2y = 15, so y = -15/2. The point would be [tex](0, -\frac{15}{2} )[/tex], as x = 0 when y = -15/2.
What similarities exist between the operations on polynomials and the operations on functions?
A function assigns the value of each element of one set to the other specific element of another set.
What is a Function?A function assigns the value of each element of one set to the other specific element of another set.
What are polynomials?Polynomial is an expression that consists of indeterminates(variable) and coefficient, it involves mathematical operations such as addition, subtraction, multiplication, etc, and non-negative integer exponentials.
In keeping with the remarks, the simple answer is that all polynomials are functions, but not all functions are polynomials. A function is essentially a rule that allocates a codomain value to every domain value.
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Re-write the quadratic function below in Standard Form y = −(x−4) (x+3)
Answer:
y=-x²+8x+16
Step-by-step explanation:
y= -3(x – 4)(x – 4)
We multiply
y=(-3x+12)(x-4)
Expand the bracket
y= x(-3x+12) -4(-3x+12)
y=-3x²+12x
-4(-3x+12)
+12x+48
y=-3x²+24x+48
Divide by 3
y=-x²+8x+16
me QR goes through points Q(0, 1) and R(2, 7). Which equation represents line QR?
y-1=6x
y-1=3x
y-7=2x-6
y-7=x-2
We write the equation in the form of directional.
y -1 = 6x ⇔ y = 6x + 1
y - 1 = 3x ⇔ y = 3x + 1
y - 7 = 2x - 6 ⇔ y = 2x - 6 + 7
y = 2x + 1
y - 7 = x - 2 ⇔ y = x - 2 + 7
y = x + 5
Equations cleverly arranged .
Point Q = (0,1)
b factor , not only fits the last equation
In the drawing have engraved points Q and R are tangent linear function appropriate to that point . This graphics solution . y = 3x + 1
Answer b
We check choice by the system of equations , where substitute wartoćsi points Q and R to the model equations linear function
The result of equations confirmed our choice Answer b
What is the equation of the line that passes through the point (6,-4) and has a slope
of-?
Answer:
y = -x + 2
Step-by-step explanation:
*Assuming the slope given is -1*
Applying point-slope formula :
y - (-4) = -1 (x - 6)y + 4 = -x + 6y = -x + 2What is the measure of \angle x∠xangle, x?
Angles are not necessarily drawn to scale.
Answer:
31
Step-by-step explanation:
x + 149 = 180
x = 180 - 149
x = 31
Answer: 31
Answer:
31°
Step-by-step explanation:
x + 149° = 180°
reason : because they are supplementary angle...
x = 180° - 149°
x = 31°
[tex]...[/tex]
can someone please help mee(20 points and i will give brainliest!!!)
Answer:
vertex: (3,1)
y-intercept = (0,-8)
x-intercept- Smaller=2 Larger=4
Domain= all real numbers, identity, infinite
Range= 1 is greater than or equal to y
axis of symmetry=3
Step-by-step explanation:
Given the graph of the function, f(x), what is the value of f (–2)?
f (–2) =
Using the graph of the function concept, the numeric value at x = 2 is f(-2) = 0.
How to find the numeric value of a function?To find the numeric value of a function at x = a, we look at the value of y(vertical axis) where x = a has a closed interval.
Researching the problem on the internet, looking at it's graph, it is found that when x = -2, there is a closed interval at y = 0, hence f(-2) = 0.
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Answer:
0A: (-∞, ∞)B: (-2, ∞)Step-by-step explanation:
help i need for tomorrow
Answer:
The three bags for 92.50 pounds (offer B)
Step-by-step explanation:
Offer A:
[tex] \frac{35}{2 \times 25} = \frac{35}{50} = .7[/tex]
Offer B:
[tex] \frac{92.50}{3 \times 50} = \frac{92.50}{150} = .617[/tex]
Offer B has the lower unit price.
How do I graph the inequality?
Answer:
Graph it the same as = but if the inequality is < or >, graph the equation as a dotted line. If the inequality is ≤ or ≥, graph the equation as a solid line.
+
A week after the incident at school, Charlotte received an envelope in the mail from Lisa's
mother. The envelope contained two $20 bills, and a note saying that she was sorry that Lisa had
hurt Charlotte and to please take the money to buy a new pair of jeans. Charlotte's new jeans cost
$25.99. Does she have enough to also buy a hoodie sweatshirt that cost $12.99? How much will
her new outfit cost?
w 10 159
Math Level 6-Lesson 13
Answer:
outfit costs 81 dollars
Step-by-step explanation:
Answer: Yes, she received $40 and the total cost of the outfit would be $38.98.
Photo attached
A. -2
B. -1
C. 1/-2
D. 1/2
Step-by-step explanation:
(X1,Y1) = (-2,2)
(X2,Y2) = (0,1)
• Find slope.
m = (Y2 - Y1)/(X2 - X1)
m = (1 - 2)/(0 - (-2))
m = -1/2
The answer is C.
Four parallel lines are drawn in a rectangular sign. The sign is painted using two colors in an alternating pattern, as shown.
A rectangle is shown. 4 parallel lines are drawn diagonally from one side of the rectangle to the opposite side. The shapes formed by the parallel lines are colored in an alternating pattern.
Which statements must be true about the two congruent, shaded figures? Select two options.
The figures are rectangles because they are formed inside a rectangle.
The figures are rhombi because they are formed by four congruent line segments.
The figures are trapezoids because each has exactly one pair of parallel sides.
The figures are parallelograms because their opposite sides are parallel.
The figures are quadrilaterals because each has four sides.
Answer:
D & E
Step-by-step explanation:
The figures are parallelograms because their opposite sides are parallel
The figures are quadrilaterals because each had four sides
The two statements that must be true about the two congruent, shaded figures are:
The figures are parallelograms because their opposite sides are parallel.
The figures are rhombi because they are formed by four congruent line segments.
What is parallelogram?A special form of quadrilateral called a parallelogram has both pairs of its opposite sides parallel and equal.
The fact that the figures are formed inside a rectangle does not necessarily mean that they are rectangles themselves.
Similarly, the fact that each figure has one pair of parallel sides does not necessarily make them trapezoids, as trapezoids have only one pair of parallel sides.
Finally, the fact that each figure has four sides does not necessarily make them quadrilaterals, as any closed shape with four sides can be considered a quadrilateral.
The two statements that must be true about the two congruent, shaded figures are:
The figures are parallelograms because their opposite sides are parallel.
The figures are rhombi because they are formed by four congruent line segments.
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