Simplify/Multipy/Find the product: −80x^5y^2z − 10x^3y^2z
Ronisha invests $5000 in an account that earns 2.3% annual simple interest. After 3 years, Ronisha invests the interest earned in a second account. This account earns 3.2% annual interest. Ronisha leaves the money in this account until she has earned $55.20 in interest. Ronisha does not deposit or withdraw any money from the accounts. How long does Ronisha invest money into the second account?
\(~~~~~~ \textit{Simple Interest Earned} \\\\ I = Prt\qquad \begin{cases} I=\textit{interest earned}\\ P=\textit{original amount deposited}\dotfill & \$5000\\ r=rate\to 2.3\%\to \frac{2.3}{100}\dotfill &0.023\\ t=years\dotfill &3 \end{cases} \\\\\\ I = (5000)(0.023)(3)\implies I=345\)
so then she grabs those 345 earned and puts it in the second account earning 3.2%, how long till that yields 55.20 bucks in interest alone?
\(~~~~~~ \textit{Simple Interest Earned} \\\\ I = Prt\qquad \begin{cases} I=\textit{interest earned}\dotfill & \$55.20\\ P=\textit{original amount deposited}\dotfill & \$345\\ r=rate\to 3.2\%\to \frac{3.2}{100}\dotfill &0.032\\ t=years \end{cases} \\\\\\ 55.20 = (345)(0.032)(t)\implies \cfrac{55.20}{(345)(0.032)}=t\implies 5=t\)
Answer:
Ronisha invests the money into the second account for 5 years.
Step-by-step explanation:
explain briefly how the confidence interval could be used to reject or fail to reject your null hypotheses.
The null hypothesis is rejected if the hypothesized value falls outside the confidence interval, indicating that the observed data significantly deviates from the expected value. If the hypothesized value falls within the confidence interval, the null hypothesis is not rejected, suggesting that the observed data is consistent with the expected value.
In hypothesis testing, the null hypothesis represents the default assumption, and the goal is to determine if there is enough evidence to reject it. Confidence intervals provide a range of values within which the true population parameter is likely to lie.
To use confidence intervals in hypothesis testing, we compare the hypothesized value (usually the null hypothesis) with the confidence interval. If the hypothesized value falls outside the confidence interval, it suggests that the observed data significantly deviates from the expected value, and we reject the null hypothesis. This indicates that the observed difference is unlikely to occur due to random chance alone.
On the other hand, if the hypothesized value falls within the confidence interval, we fail to reject the null hypothesis. This suggests that the observed data is consistent with the expected value, and the observed difference could reasonably be attributed to random chance.
The confidence interval provides a measure of uncertainty and helps us make informed decisions about the null hypothesis based on the observed data. By comparing the hypothesized value with the confidence interval, we can determine whether to reject or fail to reject the null hypothesis.
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Antonio has six white socks, two black socks, and four gray socks in a drawer. If he randomly chooses a sock from the drawer, what is the probability he will choose a gray sock?
A.1/12
B.1/4
C.1/3
D.1/2
Answer:
C
Step-by-step explanation:
The probability is 1/3
1. Write an exponential function to represent the spread of Ben's social media post.
2. Write an exponential function to represent the spread of Carter's social media post.
3. Graph each function using at least three points for each curve. All graphs should be placed together on the
same coordinate plane, so be sure to label each curve. You may graph your equation by hand on a piece of
paper and scan your work, or you may use graphing technology.
1. An exponential function to represent the spread of Ben's social media post is \(f(x) = 2(3)^x\)
2. An exponential function to represent the spread of Carter's social media post is \(f(x) = 10(2)^x\)
3. A graph of each function with three points for each curve is shown below.
How to write an exponential function to represent the spread?In Mathematics and Geometry, an exponential function can be modeled by using this mathematical equation:
\(f(x) = a(b)^x\)
Where:
a represents the initial value or y-intercept.x represents x-variable.b represents the rate of change or common ratio.Based on the table of values, the initial value is 2. Next, we would determine the common ratio (b) as follows;
Common ratio, b = a₂/a₁
Common ratio, b = 6/2 = 3.
Therefore, the required exponential function is given by;
\(f(x) = 2(3)^x\)
Part 2.
For Carter's social media post, we have the following exponential function:
\(f(x) = a(b)^x\\\\f(x) = 10(2)^x\)
Part 3.
In this scenario and exercise, we would use an online graphing calculator to plot the above exponential functions as shown in the graph attached below.
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Rewrite in vertex form by completing the square:
x^2+4x+3x
The required equation of a parabola expressed in vertex form is f(x) = (x + 2)² - 1.
What is the parabola in vertex form?The equation of a parabola expressed in vertex form is
y = a(x - h)² + k
Where a is a multiplier and (h, k) are the coordinates of the vertex
The expression is given in the question as
f(x) = x² + 4x + 3
To complete the perfect square:
We have to add/subtract ( half the coefficient of the x- term )² to x² - 4x
f(x) = x² + 2(2)x + 4 - 4 + 3
f(x) = (x + 2)² - 1
Thus, the required equation of a parabola expressed in vertex form is f(x) = (x + 2)² - 1.
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5) if we randomly select someone who was aboard the titanic, what is the probability that person is a man, given that he died?
If we randomly select someone who was aboard the titanic, what is the probability that person is a man, given that he died is 1360/1517.
Probability is a way to gauge how likely something is to happen. Many things are difficult to forecast with absolute confidence. Using it, we can only make predictions about the likelihood of an event happening, or how likely it is. Probability can vary from 0 to 1, with 0 being an impossibility and 1 denoting a certainty. For pupils in Class 10, probability is a crucial subject since it teaches all the fundamental ideas of the subject. One is the probability of every event in a sample space.
Probability that person is a man, given that he died,
P(x) = Favorable outcome/Total
= 1360/ 1517.
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some researchers claim that there is not much difference between qualitative and quantitative data. please select the best answer from the choices pro
The claim that there is not much difference between qualitative and quantitative data is incorrect.
Qualitative and quantitative data are two distinct types of data that serve different purposes and have different characteristics.
Qualitative data refers to non-numerical information that is typically obtained through observations, interviews, or surveys. It provides insights into opinions, attitudes, behaviors, and subjective experiences. Qualitative data is often descriptive in nature, expressed in words, narratives, or themes. It allows researchers to explore complex phenomena, understand contextual factors, and capture the richness of human experiences. Examples of qualitative data include interview transcripts, field notes, and open-ended survey responses.
On the other hand, quantitative data is numerical in nature and involves the collection and analysis of measurable variables. It focuses on quantities, statistical analysis, and mathematical modeling. Quantitative data allows researchers to quantify relationships, make predictions, and conduct statistical tests. It is often collected through surveys, experiments, or structured observations. Examples of quantitative data include numerical measurements, survey responses on a Likert scale, and statistical values such as means and standard deviations.
In conclusion, qualitative and quantitative data are distinct in their characteristics, purpose, and analytical approaches. The claim that there is not much difference between them is incorrect.
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A brand new filled can of chicken broth is 9 cm tall and has a radius of 6 cm. Mishka uses some of the broth to cook and now the broth left in the can is 4 cm high.
How much broth did Mishka use?
Round your final answer to the nearest whole number.
943 cm³
1257 cm³
1885 cm³
565 cm³
Using the volume of a cylinder the amount of broth used is 565 cm³
What is the volume of a cylinder?The volume of a cylinder is given by V = πr²h where
r = radius of cylinder and h = height of cylinderNow, since a brand new filled can of chicken broth is 9 cm tall and has a radius of 6 cm. Mishka uses some of the broth to cook and now the broth left in the can is 4 cm high.
To determine how much broth did Mishka use, we proceed as follows.
We know that the can is a cylinder so its volume is V = πr²h where
r = radius of cylinder and h = height of cylinderNow, the volume of broth used is the difference in height between the height of the cyliner and the height of the amount of broth left.
So, V = πr²(H - h) where
r = radius of cylinderH = height of cylinder and h = height of amount of broth leftGiven that
r = 6 cmH = 9 cm and h = 4 cmSubstituting the values of the variables into the equation, we have that
V = πr²(H - h)
V = π(6 cm)²(9 cm - 4 cm)
= π(36 cm²)(5 cm)
= 180π cm³
= 565.4 cm³
≅ 565 cm³
So, the amount used is 565 cm³
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Which ordered pair is a solution of y = x + 12? (–12, –24) (0, –12) (9, 21) (24, 12)
Answer:
(9,21)
Step-by-step explanation:
If you plug in all the pairs, the only one that is true is (9,21).
y=x+12
21=9+12
The above equation is true, and that is why (9,21) is the answer.
Hope this helped! :)
The ________ of event a is the event consisting of all simple events in the sample space s that are not in a.
Answer:
I think it is complement. Not so sure so sorry If i get it wrong I haven't done this in 2 or 3 years
Step-by-step explanation:
wednesday homework5 of 55 of 5 itemsquestionpossible points: 20a loaf of bread weighs 454 grams. how much would 3 loaves of bread weigh?responses1,364 grams1,364 grams1,632 grams1,632 grams1,362 grams1,362 grams1,327 grams1,327 gramsskip to navigation
Using unitary method, the weight of 3 loves of bread = 1362 grams
The correct answer is an option (c)
Let us assume that m represents the weight of a loaf of bread.
Here, a loaf of bread weighs 454 grams.
So, the value of m = 454 grams
We need to find the weight of 3 loves of bread.
Let us assume that n represents the weight of 3 loves of bread.
Using unitary method the weight of 3 loves of bread would be,
⇒ n = 3 × m
⇒ n = 3 × 454
⇒ n = 1362 grams
Therefore, the weight of 3 loves of bread would be 1362 grams
The correct answer is an option (c)
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The complete question is:
A loaf of bread weighs 454 grams. how much would 3 loaves of bread weigh?
a) 1,364 grams
b) 1,632 grams
c) 1,362 grams
d) 1,327 grams
What’s 50.272 to 1 decimal place
TRUNCATED to one decimal place, it's 50.2
ROUNDED to one decimal place, it's 50.3
The round-off of 50.272 to 1 decimal place using rules of rounding
numbers are 50.3.
Rounding off numbers means making a number simpler by adjusting it to its nearest place according to certain rules.
Rounding a number to one decimal place means keeping only the first digit after the decimal point and neglecting the rest. In this case, the digit in the second decimal place is 7, which is greater than or equal to 5. As per the rounding rules, if the digit is greater than 5, the preceding digit is increased by 1.
So, 50.272 becomes 50.3 when rounded to one decimal place.
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suppose x=0 and y=0. what is x after evaluating the expression (y > 0) && (1 > x++)?
The value of x will remain 0 after evaluating the expression.
The expression (y > 0) && (1 > x++) involves two conditions connected by the logical AND operator &&. For the entire expression to be true, both conditions must be true.
In this case, y is assigned the value of 0, and therefore, the condition y > 0 will evaluate to false. Since the first condition is false, the second condition 1 > x++ will not be evaluated, because even if it were true, the entire expression would still be false.
Since the entire expression is false, the increment operation x++ will not be executed, and the value of x will remain 0.
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If 5 ounces of honey cost $2.50 what will be the cost for 2 ounces?
Answer:
50cents.
Step-by-step explanation:
Four friends bought tickets to the school play if it cost them a total of $28 find how much each friend paid?
Answer:
28:4=7
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Please help me with these please i give brainliest.
Answer:
the answer is x<4
and the line is an open circle line going to the left from positive 4 onward
Use the information to answer the following question.
Carolyn was asked to solve the following system of equations.
Her work is shown.
Step 1: 3x – 2y = 7
Step 2: 3x – 2(x + 2) = 7
Step 3: 3x – 2x + 4 = 7
Step 4: x + 4 = 7
Step 5: x = 3
Step 6: y = x + 2
Step 7: y = 3 + 2
Step 8: y = 5
Solution: (3, 5)
Did Carolyn make an error in her work?
Yes, Carolyn did not correctly combine like terms in Step 2.
Yes, Carolyn should have substituted the x-value into the first equation in Step 6.
No, Carolyn solved the system of equations correctly.
Yes, Carolyn did not correctly distribute the negative in Step 3.
Carolyn made an error in her work because she did not correctly distribute the negative in Step 3.
System of EquationsA system of equations is the given term math for two or more equations with the same variables. The solution of these equations represents the point of the intersection.
You can solve a system of equations by the adding or substitution methods. In the addition method, you eliminate a variable, on the other hand, in the substitution method you replace a variable for the other.
The question gives:3x-2y=7 (1)y=x+2The question shows that Carolyn applies the substitution method because she replaces the variable y (equation 2) in equation 1. See the given step 2.
3x – 2y = 7
3x – 2(x + 2) = 7
3x – 2x - 4 = 7 - here it is the mistake. (Carolyn did not correctly distribute the negative).
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A passenger in an airplane at point A sees two towns out the window of the plane when the plane is 25,000 feet.
The angle of depression to town B is 25°, and the angle of depression to town D is 15°.
what is the distance, c, from the airplane to town b is?
the horizontal distance, x, from the airplanes position to the first town is?
the distance, y, between the two towns is?
Answer:
Solution and calculation given below.
The solution is, the distance of the towns is 11.88 km
What is trigonometry?Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.
here, we have,
So this can be solve by solving the distance of the plane and the town to the west and also the distance of the plane to the town to the east.
So the town with an angle of depression of 34 degrees
Let x be the distance of the plane and town
Cos 34 = x / 8
x = 8 cos 34
x = 6.63 km
So the town with an angle of depression of 49 degrees
Let y be the distance of the plane and town
Cos 49 = y / 8
y = 8 cos 49
y = 5.25 km
so the distance of the towns is 5.25 + 6.63 = 11.88 km
Hence, The solution is, the distance of the towns is 11.88 km.
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complete question:
An airplane is flying between two towns at an altitude of 8km. One town is to the west of the plane and the other is to the east. The angle of depression to one town in de34grees and to the other town is 49degrees. What is the distance between the two towns
john and jane go rock-climbing together. john climbs a height of $(x 5)$ miles in $(x-1)$ hours and jane climbs a height of $(x 11)$ miles in $(x 1)$ hours. if john and jane were climbing at the same speed, what must have been their speed, in miles per hour?
Given that John climbs a height of \($(x + 5)$\) miles in \($(x - 1)$\) hours and Jane climbs a height of \($(x + 11)$\) miles in \($(x + 1)$\) hours. We know that the distance covered by both John and Jane are equal.
Distance covered by John = Distance covered by Jane
Therefore, \($(x + 5) = (x + 11)$\)
Thus, x = 6
Now, we need to find the speed of both, which is given by the formulae:
Speed = Distance / Time
So, speed of John = \($(x + 5) / (x - 1)$\) Speed of John =\($11 / 5$\) mph
Similarly, speed of Jane = \($(x + 11) / (x + 1)$\)
Speed of Jane = \($17 / 7$\) mph
Since both have to be equal, Speed of John = Speed of Jane Therefore,
\($(x + 5) / (x - 1) = (x + 11) / (x + 1)$\)
Solving this equation we get ,x = 2Speed of John = \($7 / 3$\) mph
Speed of Jane = \($7 / 3$\) mph
Thus, their speed was \($7 / 3$\) mph.
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Help please will mark brainlist!!!
Answer:
radius was given
V=1570 ft cubed
Step-by-step explanation:
Volume of a cylinder= 3.14(r^2)h
=3.14(10^2)5
=15.7(100)
=1570
verify that y=sin3t 2cos3t is a solution to the ivp 2y^n 18y=0 y(0)=2 y'(o)=3
The value of c₂ = 1. Substituting the values of c₁ and c₂ back into the general solution, we get y(t) = 2cos(3t) + sin(3t).The correct solution is y(t) = 2cos(3t) + sin(3t), and it satisfies the initial conditions y(0) = 2 and y'(0) = 3.
The given differential equation is y" + 9y = 0. The characteristic equation is r² + 9 = 0 and it gives us the roots r = ±3i.
We know that the general solution to this differential equation is y(t) = c₁cos(3t) + c₂sin(3t). Given y = sin(3t)2cos(3t), we can write this as y = 1/2sin(6t).
Now we can compare the coefficients of y(t) and y'(t) with the coefficients of the given initial values: y(0) = 2 and y'(0) = 3. y(0) = 2 => c₁ = 2/cos(0) = 2 y'(0) = 3 => -3c₁sin(0) + 3c₂cos(0) = 3 => 3c₂ = 3
Therefore, c₂ = 1. Substituting the values of c₁ and c₂ back into the general solution, we get y(t) = 2cos(3t) + sin(3t). Hence, y = sin(3t)2cos(3t) is not a solution to the given initial value problem.
The correct solution is y(t) = 2cos(3t) + sin(3t), and it satisfies the initial conditions y(0) = 2 and y'(0) = 3.
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Simplify (2x-3)(4x+1)=
Answer:
=8x^2-10x-3
Step-by-step explanation:
Let F(x,y,z) = (x−z)i+ 0j+xk. Evaluate ∫CF·dr, where C is the half circle of x^2+z^2= 1 (on the xz-plane), beginning at (1,0,0) to (0,0,1) to (−1,0,0).
Answer:
J+XKEN
Step-by-step explanation:
You are on a fishing trip with your friends. The diagram shows the location of the river, fishing hole, campsite, and bait store. The campsite is located 200 feet from the fishing hole. The bait store is located 110 feet from the fishing hole. How wide is the river?.
the width of the river is approximately 64.03 feet.
To determine the width of the river, we can use the concept of triangle similarity.
Let's assume that the river width is represented by the variable "x".
From the information given, we have a right triangle formed by the river, the fishing hole, and the campsite. The campsite is located 200 feet from the fishing hole, and the river width is the unknown side.
Using the Pythagorean theorem, we can set up the equation:
x^2 + 200^2 = (200 + 110)^2
Simplifying the equation:
x^2 + 40000 = 44100
x^2 = 44100 - 40000
x^2 = 4100
Taking the square root of both sides:
x = sqrt(4100)
x ≈ 64.03 feet
Therefore, the width of the river is approximately 64.03 feet.
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Solve. Thank you so much! A picture is there. <3
Answer:
-8
Step-by-step explanation:
47 = -7x -9
Add 9 to each side
47+9 = -7x-9+9
56 = -7x
divide each side by -7
56/-7 = -7x/-7
-8 = x
2x+y=3
Зу = 18 -6x
On a graph please
Write 4 3/5 as a decimal number
Answer:
4.6 is your awnser hope this helps
thirty six men can cultivate a piece of land in 20 days. How many more men working at the same rate would be needed to cultivate the same piece of land in 15 days
Answer:
900+ hours
Step-by-step explanation:
How is circumference different from area ?
Answer:
see below
Step-by-step explanation:
The circumference is the distance around a circle, think of it as a ribbon
The area is the amount to cover, like a round table cloth
The area of a circle represents the total amount of content inside the circle.
The circumference of a circle is the same as the perimeter, which is the total amount of length outside the entire circle.
Both are also found different using different formulas.
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Answer:
3w² + 10w +8 (C)
Step-by-step explanation:
A rectangle has a length that is 3 times its width, w, in inches. The width is increased by 2 inches, and the length is increased by 4 inches. Which expression represents the area of the larger rectangle?
First, remember that the length of the first rectangle is 3 * w, or 3w.
Now, onto the second rectangle.
The width is increased by 2, so it becomes w + 2
The length is increased by 4, so it becomes 3w +4.
Area is length times width, so the area is
(w + 2)(3w + 4)
Simplify.
3w*w + 4*w + 2*3w + 2*4 =
3w² + 4w + 6w +8
3w² + 10w + 8, or C