Answer: 12.25
Step-by-step explanation:
Every day the bag of bird food decreases by 1 3/4 or 1.75.
It decreases for 7 days, so the amount decreased for a week would be 1.75(7) which is 12.25.
I need help with this
Answer:
1. y = 10(1/3)^x
2. 24.8 bacteria per minute
Step-by-step explanation:
1.
When you raise a number between 0 and 1 to a positive exponent, the result is less than 1, so it indicates exponential decay.
The only such function in the choices is
Answer: y = 10(1/3)^x
2.
b(t) = 4(2)^t
b(0) = 4(2)^0 = 4
b(5) = 4(2)^5 = 128
average rate of change = (128 - 4)/(5 - 0) = 124/5 = 24.8
Answer: 24.8 bacteria per minute
find the area of the shaded regions below. give your answer as a completely simplified exact value in terms of π (no approximations)
Answer:
Step-by-step explanation:
the area of the hemisphere is 1/2 \(\pi\)\(r^{2}\)
the radius is 1/2 the diameter,
the diameter is also the hypotenuse of the isosceles triangle
\(d^{2}\) = \(4^{2}\)+\(4^{2}\)
\(d^{2}\) = 32
d =\(\sqrt{32}\)
r = 1/2\(\sqrt{32}\)
1/2\(\pi\)(1/2\(\sqrt{32}\))^2
1/2\(\pi\)(1/4*32)
(32/8 )*\(\pi\)
4\(\pi\) ( the entire upper hemisphere )
area of the triangle is 1/2* 4 *4 = 8
then the exact area of the parts of the circle would be
4\(\pi\) - 8
Gina drew three small congruent circles
beside one large circle.
2 cm
Based on the diagram, which answer
choice is closest to the area of the large
circle?
F 28.3 cm?
H 18.8 cm?
G 12.6 cm? J 24.4 cm?
7.9B
Answer:
7.9
Step-by-step explanation:
Someone pls help me out
The diagram shows a cuboid.
8 cm
15 cm
20 cm
What is the surface area of the cuboid?
plz help i'm adding some extra points will report if u don't actually answer the question
Answer:
\(-4x^2-x-19=0\)
Step-by-step explanation:
Standard Form:
\(ax^2+bx+c=0\)
Solve:
\(-4x^2-19=x\)
Subtract x from both sides, then make standard form:
\(-4x^2-x-19=0\)
At a certain company, the monthly salary of project managers can be modeled by the function f(x) = x4 – 10x 2 + 10,000, where x is the number of years of employment. After how many years would a project manager be eligible for a $20,000 monthly salary? after working for exactly 10 years after working for at least 10 1/4 years after working for exactly 12 years after working for at least 12 1/4 years
Answer:
after working for at least 10 1/4 years
Step-by-step explanation:
After working for at least 10 1/4 years a project manager would be eligible for a $20,000 monthly salary.
What is the formula to solve quadratic equation?A quadratic equation, \(ax^{2} +bx+c=0\) is solved by
\(x=\frac{-b \pm \sqrt{b^2-4ac} }{2}\)
Given function \(f(x)=x^4-10x^2+10000\)
Function that has monthly salary $20,000 will be \(x^4-10x^2+10000=20000\)
\(x^4-10x^2+10000-20000=0\)
\(x^4-10x^2-10000=0\)
Now using the formula \(x=\frac{-b \pm \sqrt{b^2-4ac} }{2}\)
\(x^2=\frac{10 \pm \sqrt{10^2+40000} }{2}\)
\(x^2=\frac{10 \pm \sqrt{40100} }{2}\)
\(x^2=\frac{10 \pm 200.2}{2}\)
\(x^2=5 \pm 100.1\)
\(x^2=105.1\)
\(x=\sqrt{105.1}\)
\(x=10.25\)
Hence, after working for at least 10 1/4 years a project manager would be eligible for a $20,000 monthly salary.
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35 POINTS Complete the sentence.
Statistics is the result of __________ data.
Answer:
analysis (i got to put a bunch of random stuff here cs the limit)
2|x+3|+1>3
what the soulution??
A mathematical statement indicating an order relationship between two numbers or algebraic expressions, such as greater than, greater than or equal to, less than, or less than or equal to.
Divide both sides of the inequality 2|x+1/3|3 to make it simpler:|x+1/3| < 3/2.
Consider the center of the group of numbers that fulfill 2|x+1/3|3 to be x = -1/3.
The maximum value of this set is obtained by adding 3/2 to this -1/3:
-1/3 + 3/2, or -2/6 + 9/6, or 7/6.
The bottom limit of this solution set is obtained by subtracting 3/2 from this and then -1/3:
-1/3 - 3/2, or -2/6 - 9/6, or - 11/6.
The answer range is (7/6, -11/6).
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given M and N find the value of X
Write the equation in standard form using integers
(no fractions or decimals): y= -2/3 x-1
standard form for a linear equation means
• all coefficients must be integers, no fractions
• only the constant on the right-hand-side
• all variables on the left-hand-side, sorted
• "x" must not have a negative coefficient
\(y=-\cfrac{2}{3}x-1\implies \stackrel{\textit{multiplying both sides by }\stackrel{LCD}{3}}{3(y)=3\left( -\cfrac{2}{3}x-1 \right)} \\\\\\ 3y=-2x-3\implies {\Large \begin{array}{llll} 2x+3y=-3 \end{array}}\)
Off track biking charges an hourly rate for mountain bike lessons and adds a charge of $100 for insurance. The overvalued cost (C) is represented by the formula, C=40h + 100 where h is the number of hours of lessons. Ben has 7 hours of lessons with off track biking.
How much does he pay?
Answer:
Step-by-step explanation:
If Ben has 7 hours of lessons with Off Track Biking, we can find the total cost (C) using the formula:
C = 40h + 100
where h is the number of hours of lessons. Substituting h = 7, we get:
C = 40(7) + 100
C = 280 + 100
C = 380
Therefore, Ben pays $380 in total for his 7 hours of lessons with Off Track Biking.
how do i check 3- 6x = 53
PLS HELP
Pairs of markings a set distance apart are made on highways so that police can detect drivers exceeding the speed limit. Over a fixed distance, the speed R varies inversely with the time T. In one
particular pair of markings, R is 41 mph when Tis 8 seconds. Find the speed of a car that travels the given distance in 5 seconds.
R= ? mph (Round to the nearest whole number.)
The the speed of a car that travels the given distance in 5 seconds from the information is 65.6 mph.
How can the speed be calculated?Speed and time are two fundamental concepts in physics and mathematics that are often used together to describe the motion of objects.
Speed refers to how fast an object is moving, and is typically measured in units of distance per unit of time, such as meters per second (m/s) or miles per hour (mph). Speed can be either constant, meaning the object is moving at the same speed throughout its motion, or variable, meaning the object's speed changes over time.
Given that the speed R varies inversely with the time T
R = 41 mph T = 8 seconds
The distance can be calculated as( speed * time)
Distance = ( speed * time)
= 41 * 8 = 328miles
The total distance travel can now bw seen as 328miles, the speed of a car that travels the given distance in 5 seconds can now be calculated as
Speed =Distance / time.
= 328miles/ 5 seconds
= 65.6 mph.
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2x + 3y =12
Complete the missing value in the solution to the equation
(blank, 8)
Answer:
(-6, 8)
Step-by-step explanation:
2x + 3(8)= 12
2x + 24 = 12
-24 -24 (subtract 24 from both sides)
2x = -12
x= -6
Find the general solution of the following equations by integrating. N.B. Please use A for the first constant of integration, B for the second and C for the third.
(a) y′=4t3+t
Solution: y=
(b) y′′=4t3+t Solution:
y=
(c) d3xdt3=4t3+t
Solution: x=
(d) 2y′=3t+2 Solution:
y=
a) The general solution is y = t^4/4 + t^2/2 + A, b) The general solution is y = t^5/20 + t^3/6 + At + B, c) the general solution is x = t^6/120 + t^4/24 + At^2/2 + Bt + C d) The general solution is y = 3t^2/4 + t + A/2
(a) To find the general solution of y′=4t^3+t, we need to integrate both sides of the equation with respect to t. This gives us:
y = ∫(4t^3+t)dt = t^4/4 + t^2/2 + A
So the general solution is y = t^4/4 + t^2/2 + A, where A is the first constant of integration.
(b) To find the general solution of y′′=4t^3+t, we need to integrate both sides of the equation twice with respect to t. This gives us:
y′ = ∫(4t^3+t)dt = t^4/4 + t^2/2 + A
y = ∫(t^4/4 + t^2/2 + A)dt = t^5/20 + t^3/6 + At + B
So the general solution is y = t^5/20 + t^3/6 + At + B, where A is the first constant of integration and B is the second constant of integration.
(c) To find the general solution of d^3x/dt^3=4t^3+t, we need to integrate both sides of the equation three times with respect to t. This gives us:
d^2x/dt^2 = ∫(4t^3+t)dt = t^4/4 + t^2/2 + A
dx/dt = ∫(t^4/4 + t^2/2 + A)dt = t^5/20 + t^3/6 + At + B
x = ∫(t^5/20 + t^3/6 + At + B)dt = t^6/120 + t^4/24 + At^2/2 + Bt + C
So the general solution is x = t^6/120 + t^4/24 + At^2/2 + Bt + C, where A is the first constant of integration, B is the second constant of integration, and C is the third constant of integration.
(d) To find the general solution of 2y′=3t+2, we need to integrate both sides of the equation with respect to t. This gives us:
2y = ∫(3t+2)dt = 3t^2/2 + 2t + A
y = (3t^2/2 + 2t + A)/2 = 3t^2/4 + t + A/2
So the general solution is y = 3t^2/4 + t + A/2, where A is the first constant of integration.
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Find the value of x.
(7x-5)°
(x+3)°
Because the two angles are complementary, the value of x must be 11.5
How to find the value of x?In the image we can see that the two given angles are complementary, which means that their measures add up to 90°, then we can write:
(7x - 5)° + (x + 3)° = 90°
Now we can solve that linear equation to find the value of x, we iwll get:
7x + x - 5 + 3 = 90
8x - 2 = 90
8x = 92
x = 92/8
x = 11.5
That is the value of x.
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The radius of a circle is 4 m. Find its area in terms of
π
π.
Answer:
16π
Step-by-step explanation:
Given:
\(\text{Radius of circle}: 4 \ \text{m}\)
Formula:
\(\text{Area of circle} = \pi r^{2}\)
Replace the radius in the formula:
\(\implies \text{Area of circle} = \pi (4)^{2}\)
Evaluate the area:
\(\implies \text{Area of circle} = \pi (4)(4)\)
\(\implies \text{Area of circle} = 16\pi\)
Since the question says to determine the area in terms of π, the final answer is 16π.
please help me with this question i dont understand
Answer:
D, please read explanation
Step-by-step explanation:
4/20=0.2
We need to find the correct answer that makes the first fraction equivalent to that.
I am going to use process of elimination for this.
a) 6/1≠4/20 so this one is wrong (6/1 is 6 which ≠ 0.2)
b) 6/13≠4/20 so this one is wrong (6/1 is 0.46 which ≠ 0.2)
c)6/22≈4/20 so this one is almost right (6/22 is 0.27 which ≈ 0.2)
d) 6/30=4/20 this one is RIGHT!!! (0.2=0.2)
a triangular playground has two sides measuring 60 feet and 95 feet between which two measures must the third side of the triangle fall?
Based on the Triangle Inequality Theorem, any side of a triangle must be shorter than the sum of the other two sides.
Let a = first side, b = second side, and c = third side.
Applying the Triangle Inequality Theorem, we can say that:
\(\begin{gathered} cSo, if a = 60 ft and b = 95 ft, then the third side must be shorter than 155 ft.\(\begin{gathered} cIn addition, by subtracting "a" from "b", the third side must be greater than 35 ft.\(\begin{gathered} b35ft \end{gathered}\)Therefore, the measure of the third side must fall between 35 ft and 155 ft.
There are 6 red marbles, 5 green marbles, and 4 yellow marbles in a bag. If Joe picks 2 marbles one after the other without replacement, then what is the probability that both are red?
Answer:
2 out of 6
Step-by-step explanation:
if this is wrong try 2 out of 15
Find the value of Z. Explain step by step and I'll mark you brainliest.
2.5(2z+5)=5(z+2.5)
What is the area of one of the triangular faces? in 2 4 in. 3 in. 7 in. 7 in. 5 in. 4 in. 5 in.
Answer:
55
Step-by-step explanation:
Pls answer the first one to answer and get right will get Brainliest
Answer:
The answer is 7
Step-by-step explanation:
Answer:
x=-2
Step-by-step explanation:
add 5 to get rid of the -5 and then -4 become 1 then multiply by 10 to get rid of the divide by 10 then 10 times 1 equals 10 so then you divide by negative 5 so now you have x=10÷-5 and that equals -2
\(3^{2} x3^{7} = 3^{}\)
In the given arithmetic expression the value of x will be 3⁻⁸.
What are mathematical operations?The term "operation" in mathematics refers to the process of computing a value utilizing operands and a math operator. For the specified operands or integers, the math operator's symbol has predetermined rules that must be followed. In mathematics, there are five basic operations: addition, subtraction, multiplication, division, and modular forms.
Given an Expression,
3² * x *3⁷ = 3
Simplifying the given arithmetic expression
3² * x *3⁷ = 3
In multiple, if the base is the same power will add up
x * 3²⁺⁷ = 3
x * 3⁹ = 3
Divided by 3⁹ into both sides
x = 3/3⁹
x = 1/3⁸
x = 3⁻⁸
Therefore, for the given arithmetic expression the value of x will be 3⁻⁸.
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I need help with #61 to #64 ASAP please and thank you can someone please help me with it
हसब्झन्झजझ हज जज्ज जनक ककक्कजज्ज
Which of these tables represents a function?
help me please, i just need an answer
Answer:
6
Step-by-step explanation:
Calculate the angle of the incline from the diagram. Answers have been rounded to the nearest tenth of a degree.
A. 32.2°
B. 40.2°
C. 49.8°
D. 57.8°
Answer:
40.2
Step-by-step explanation:
Let's see
\(\\ \rm\rightarrowtail tan\theta=\dfrac{Perpendicular}{Base}\)
\(\\ \rm\rightarrowtail tan\theta=\dfrac{11}{13}\)
\(\\ \rm\rightarrowtail tan\theta=0.846\)
\(\\ \rm\rightarrowtail \theta=tan^{-1}(0.846)\)
\(\\ \rm\rightarrowtail \theta=40.2^{\circ}\)
Briahna and Keondre work at a store. Keondre earns $25.30 more per week than Brianna does. Brianna earns $395 per week. Write an equation to find k, how much money Keondre earns. Then, Solve. -
Answer:
415.30
Step-by-step explanation: