Answer: 5.5 minutes
Step-by-step explanation:
Your question is not complete but I guess they you want to calculate the number of minutes that Jenne was on the trampoline.
Let the number of minutes be represented by m.
Therefore, based in the information, we can form an equation which will be:
7.25 + (1.45 × m) = 15.23
7.25 + 1.45m = 15.23
1.45m = 15.23 - 7.25
1.45m = 7.98
m = 7.98/1.45
m = 5.50
Therefore, Jenna used 5.5 minutes
First and 2nd question is easier.
1) What is 3% of 0.80 and what is 7% of 0.40
2) what is 90$ of 3 and what is 40% of 24
Answer:
3% of 0.80 = 0.024
7% of 0.40 = 0.028
90% of 3 = 2.7
40% of 24 = 9.6
Step-by-step explanation:
х- а
x-b
If f(x) = b.x-a÷b-a + a.x-b÷a - b
Prove that: f (a) + f(b) = f (a + b)
Given:
Consider the given function:
[tex]f(x)=\dfrac{b\cdot(x-a)}{b-a}+\dfrac{a\cdot(x-b)}{a-b}[/tex]
To prove:
[tex]f(a)+f(b)=f(a+b)[/tex]
Solution:
We have,
[tex]f(x)=\dfrac{b\cdot(x-a)}{b-a}+\dfrac{a\cdot (x-b)}{a-b}[/tex]
Substituting [tex]x=a[/tex], we get
[tex]f(a)=\dfrac{b\cdot(a-a)}{b-a}+\dfrac{a\cdot (a-b)}{a-b}[/tex]
[tex]f(a)=\dfrac{b\cdot 0}{b-a}+\dfrac{a}{1}[/tex]
[tex]f(a)=0+a[/tex]
[tex]f(a)=a[/tex]
Substituting [tex]x=b[/tex], we get
[tex]f(b)=\dfrac{b\cdot(b-a)}{b-a}+\dfrac{a\cdot (b-b)}{a-b}[/tex]
[tex]f(b)=\dfrac{b}{1}+\dfrac{a\cdot 0}{a-b}[/tex]
[tex]f(b)=b+0[/tex]
[tex]f(b)=b[/tex]
Substituting [tex]x=a+b[/tex], we get
[tex]f(a+b)=\dfrac{b\cdot(a+b-a)}{b-a}+\dfrac{a\cdot (a+b-b)}{a-b}[/tex]
[tex]f(a+b)=\dfrac{b\cdot (b)}{b-a}+\dfrac{a\cdot (a)}{-(b-a)}[/tex]
[tex]f(a+b)=\dfrac{b^2}{b-a}-\dfrac{a^2}{b-a}[/tex]
[tex]f(a+b)=\dfrac{b^2-a^2}{b-a}[/tex]
Using the algebraic formula, we get
[tex]f(a+b)=\dfrac{(b-a)(b+a)}{b-a}[/tex] [tex][\because b^2-a^2=(b-a)(b+a)][/tex]
[tex]f(a+b)=b+a[/tex]
[tex]f(a+b)=a+b[/tex] [Commutative property of addition]
Now,
[tex]LHS=f(a)+f(b)[/tex]
[tex]LHS=a+b[/tex]
[tex]LHS=f(a+b)[/tex]
[tex]LHS=RHS[/tex]
Hence proved.
The formula A(t) = 756e^(0.035)t models the growth of an investment due to continuously compounded interest. What does 0.035 stand for?
A) the numbers of years since the initial investment
B) the amount after t years
C) the initial amount invested
D) the interest rate
Answer:
D) the interest rate
Step-by-step explanation:
The formula for continuously compounded interest is [tex]A(t)=Pe^{rt[/tex] where [tex]P[/tex] is the principal/initial value, [tex]r[/tex] is the interest rate in decimal form, and [tex]t[/tex] is the amount of time since the initial investment. In this case, [tex]r=0.035[/tex] would be an annual interest rate of 3.5% per year.
Aku writes an average of 120 words on a sheet of paper.how many sheets of paper will she need to write 5400 words
Answer:
sheet needed=45
Step-by-step explanation:
1 sheet=120 words
x sheet=5400 words
x sheet=5400/120
x sheet =45
I need help asp please!!
Answer:
337.5 g
Step-by-step explanation:
mass=volume x density=112.5 x 3=337.5
Divide 20 by the difference of 14 and 9.
Cuánto es 1/4 mas 1/4
Answer:
0.5
Step-by-step explanation:
can anybody help me please?! I'll give brainlest for correct answer
Yes I can help you. what do you want the help for?
Answer:
AOB = 65 degree angle
DOE = 35 degree angle
AOC = 90 degree angle
EOB = 115 degree angle
DOB = 80 degree angle
Step-by-step explanation:
Use the protractor to measure. Each dash around the edge is equal to 5 degrees.
Find the surface area of the regular pyramid.
Answer:
195.6
Step-by-step explanation:
The general formula for the total surface area of a regular pyramid is T. S. A. =12pl+B where p represents the perimeter of the base, l the slant height and B the area of the base.
The following function represents exponential growth or decay.
P= 2.9(1.05)^t
a. The initial quantity is :_______________
b. The initial quantity is :__________
c. Is the quantity growing or decaying?
Answer:
a) The initial quantity is 2.9.
b) The initial quantity is 2.9.
c) The multiplier is 1.05 > 1, and thus, the quantity is growing.
Step-by-step explanation:
Exponential equations:
Have the following format:
[tex]A(t) = A(0)(k)^t[/tex]
In which A(0) is the initial amount and k is the multiplier.
If k > 0, the quantity is growing.
If k < 0, the quintity is decaying.
In this question:
[tex]P(t) = 2.9(1.05)^t[/tex]
a, b. The initial quantity is
P(0). So
[tex]P(0) = 2.9(1.05)^0 = 2.9*1 = 2.9[/tex]
The initial quantity is 2.9.
c. Is the quantity growing or decaying?
The multiplier is 1.05 > 1, and thus, the quantity is growing.
For students who first enrolled in a two year public institution in 2013, the proportion who earned a bachelor's degree in six years was 0.236. The president of a certain college believes that the proportion of students who enroll in her institution have a higher completion rate.
(a) Determine the null and alternative hypotheses.
(b) Explain what it would mean to make a Type I error.
(c) Explain what it would mean to make a Type II error.
Answer:
H0 : p = 0.236
H1 : p > 0.236
Type 1 error is committed by incorrectly rejecting a true null hypothesis
Type 11 error is committed by incorrectly accepting a false null
Step-by-step explanation:
The null and alternative hypothesis :
H0 : p = 0.236
H1 : p > 0.236
A type 1 error is made when a null hypothesis is incorrectly rejected, Hence in this scenario, a type 1 error will be committed of we conclude that the proportion who earned bachelor's degree is more Than 0.236 when the actual proportion not more than but equal to 0.236
A type 11 error is committed when we fail to reject a false null hypothesis. This means that if the actual proportion who earned a bachelor's degree is more than 0.236 and we fail to reject the null which says the proportion is not more than 0.236
don't mind the yt but how/?
r = 44
12 = r -(34-2)
12 = r -(32)
12 = r-32
r = 32+12
r = 44
Compute the loss of head and pressure drop in 200 ft of horizontal 6-in diameter asphalted cast iron pipe carrying water with a mean velocity of 6 ft/s. For water: rho = 1.94 slug/ft3 and μ = 2.09x10-5 slug/ft-s (ν = μ/rho). Assume ε = 0.0004 ft.
Answer:
The answer is below
Step-by-step explanation:
12 inches = 1 ft.
6 inches = 6 inches * (1 ft./12 inches) = 0.5 ft.
Therefore the diameter of the cast iron (D) = 6 inches = 0.5 ft.
The area of cast iron (A) = πD²/4 = π(0.5)²/4 = 0.196 ft²
The velocity (V) = 6 ft./s, the acceleration due to gravity (g) = 32.2 ft./s²
ε/D = 0.0004 ft./ 0.5 ft. = 0.0008
Using the moody chart, find the line ε/D = 0.0008 and determine the point of intersection with the vertical line R = 2.7 * 10⁵. Hence we get f = 0.02.
The head loss (h) is:
[tex]h_f=f*\frac{L}{d}* \frac{V^2}{2g}=0.02*\frac{200\ ft}{0.5\ ft} *\frac{(6\ ft/s)^2}{2*32.2\ ft/s^2}=4.5\ ft[/tex]
The pressure drop (Δp) is:
Δp = ρg[tex]h_f[/tex] = [tex](62.4\ lbf/ft^3)(4.5\ ft)= 280\ lbf/ft^2[/tex]
pls help I need a good grade
Answer:
D
Step-by-step explanation:
because in standard form the first number can not be greater than 10 above 10 it should be in points. e.g. D must be 6.12×10^5
PLEASE HELP GEOMETRY
which transformation is shown here
A) dilation
B) reflection
C) rotation
D) translation
Answer:
reflection
Step-by-step explanation:
The transformation is a reflection across the dashed line.
Answer: reflection
Answer:
B) reflection
Step-by-step explanation:
A reflection is a mapping from a Euclidean space to itself that is an isometry with a hyperplane as a set of fixed points; this set is called the axis or plane of reflection.
Hope it is helpful...please answer! yes I'll mark as brainliest
7/4
Step-by-step explanation:
The line would go up 7 points (from -3 to 4) and across 4 points (from -3 to 1)
Bowl B1 contains one white and two red chips; bowl B2 contains two white and two red chips; bowl B3 contains one white and four red chips. The probabilities of selecting bowl B1, B2, or B3 are 0.3, 0.2, and 0.5, respectively. A bowl is selected using these probabilities and a chip is then drawn at random. Find:
a. P(W), the probability of drawing a white chip.
b. P(B1 Given W), the conditional probability that bowl B1 had been selected, given that a white chip was drawn.
Answer:
a) 0.3 = 30% probability of drawing a white chip.
b) 0.3333 = 33.33% probability that bowl B1 had been selected, given that a white chip was drawn.
Step-by-step explanation:
Conditional Probability
We use the conditional probability formula to solve this question. It is
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
In which
P(B|A) is the probability of event B happening, given that A happened.
[tex]P(A \cap B)[/tex] is the probability of both A and B happening.
P(A) is the probability of A happening.
a. P(W), the probability of drawing a white chip.
1/3(one white out of 3) of 0.3(from B1).
1/2(two white out of 4) of 0.2(from B2).
1/5(one white out of 5) of 0.5(from B3). So
[tex]P(W) = 0.3333*0.3 + 0.5*0.2 + 0.2*0.5 = 0.3[/tex]
0.3 = 30% probability of drawing a white chip.
b. P(B1 Given W), the conditional probability that bowl B1 had been selected, given that a white chip was drawn.
The probability of drawing a white chip from B1 is 1/3 out of 0.3, so:
[tex]P(B1 \cap W) = 0.3\frac{1}{3} = 0.1[/tex]
Then the conditional probability is:
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.1}{0.3} = 0.3333[/tex]
0.3333 = 33.33% probability that bowl B1 had been selected, given that a white chip was drawn.
A house on the market was valued $234,000. After several years, the value decreased by 9%. By how much did the house's value decrease in dollars? What is the current value of the house?
The price decreases by $288,000*(0.19)=$54,720
The current value is then $233,280.
Simplify the expression 2(4x – 2) + x if x = 6.
Answer:
44
Step-by-step explanation:
2(4x-2)
2(4(6)-2)
2(24-2)
2(22)
44
Hope this helps! :)
Answer and Step-by-step explanation:
Simply plug 6 in for x.
2(4(6) - 2) + 6
Multiply 4 by 6.
2(24 - 2) + 6
Subtract 2 from 24.
2(22) + 6
Multiply 22 by 2.
44 + 6
Add.
50
The answer is 50.
#teamtrees #PAW (Plant And Water)
Deshaun has scored 86, 83, 93, and 79 on her previous four tests. What score does he need on his next test so that his average (mean) is 86?
Answer:
89
Step-by-step explanation:
341 ( total of previous 4 tests) + 89= 430
Divide 430 by 5 ( number of tests)
Which of the following questions are statistical? A. How many hours did you sleep last night. B. How many hours did the students in your class sleep last night. C. How many hours did your friend spend reading last night. D. How many hours did your teacher spend reading on Saturday.
A municipal electrical utility charges customers a $15 per month fee plus 12 cents per kilowatt-hour of energy used. Write an equation for a customer's monthly costs, C (in dollars) for electric service as a function of x, the kilowatt-hours used.
Answer:
C(x) = 15 + 12 * x
Step-by-step explanation:
Cost = monthly fee plus cost per hour * hours
C(x) = 15 + 12 * x
3x^2=12 solve the equation algebraically?
Answer:
x = 2
Step-by-step explanation:
Problem: 3x^2 = 12
Divide both sides by 3 to isolate x: x^2 = 4
Take the square root of both sides of the equation: x = 2
Answer: x = 2
which expression is equivalent to 13 - 4.5 +(-8)
[tex]\huge\text{Hey there!}[/tex]
[tex]\large\textsf{13 - 4.5 + (-8)}\\\\\large\textsf{= 13 - 4.5 - 8}\\\\\large\textsf{13 - 4.5 = \boxed{\bf 8.5}}\large\checkmark\\\\\large\textsf{8.5 - 8}\\\\\boxed{\large\textsf{= \bf 0.5}}\large\checkmark\\\\\\\\\boxed{\boxed{\large\textsf{Answer: \huge \bf 0.5}}}\huge\checkmark[/tex]
[tex]\large\text{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
Help please I don’t know how to do this
[tex]\sqrt[3]{a^2+b^2} = (a^2+b^2)^{\frac{1}{3}}[/tex]
There are 1,453 souvenir paperweights that need to be packed in boxes. Each box will hold 17 paperweights. How many boxes will be needed?
Answer:
86 boxes
Step-by-step explanation:
trust me its right
Identify the location of the point (-3, -2).
A. P
B. Q
C. R
D. S
Answer:
You haven't given a picture of the graph dear.
The point (-3,-2) lies in the third quadrant.
A hemispherical tank is filled with water and has a diameter of 22 feet. If water
weighs 62.4 pounds per cubic foot, what is the total weight of the water in a full tank,
to the nearest pounds
Answer:
173 949 pounds
Step-by-step explanation:
radius of the hemisphere = diameter / 2 = 11 feet
Volume of the hemisphere = (2/3 * radius^3 * pi) = = (2/3 * 11^3 * pi) = 2.787,639881 ft^3
Total weight = volume of the hemisphere * 62.4 = 173,948.728592
Explain why the set of polynomials is closed under subtraction
Answer:
Polynomials are closed under addition. When subtracting polynomials, the variables and their exponents do not change. Only their coefficients will possibly change. This guarantees that the difference has variables and exponents which are already classified as belonging to polynomials.
Step-by-step explanation:
HELP PLEASE HELP HELP
Answer:
here
Step-by-step explanation:
C and D is the answer
