Answers
Answer:
This is a quadratic function.
Related Questions
Find the intercepts of the equation -x-2y=4 I need the x and y intercept in two points
Answers
Answer:
x-intercept: (-4,0)
y-intercept: (0,-2)
Step-by-step explanation:
Suppose that $10,405 is invested at an interest rate of 6.4% per year, compounded continuously.
a) Find the exponential function that describes the amount in the account after time t, in years.
b) What is the balance after 1 year? 2 years? 5 years? 10 years?
c) What is the doubling time?
Answers
Therefore, the doubling time is approximately 10.83 years.
a) The exponential function that describes the amount in the account after time t, in years, is given by:
\($A(t) = A_0 e^{rt}$\)
where $A_0$ is the initial investment, $r$ is the annual interest rate as a decimal, and $t$ is the time in years. Since the interest is compounded continuously, we have $r = 0.064$.
Substituting the given values, we get:
\($A(t) = 10,405 e^{0.064t}$\)
b) To find the balance after 1 year, we plug in $t=1$ into the exponential function:
\($A(1) = 10,405 e^{0.064(1)} \approx 11,069.79$\)
Similarly, we can find the balance after 2, 5, and 10 years:
\($A(2) = 10,405 e^{0.064(2)} \approx 11,778.79$\)
\($A(5) = 10,405 e^{0.064(5)} \approx 14,426.77$\)
\($A(10) = 10,405 e^{0.064(10)} \approx 19,682.08$\)
c) The doubling time can be found using the formula:
\($t_{double} = \frac{\ln 2}{r}$\)
Substituting $r = 0.064$, we get:
\($t_{double} = \frac{\ln 2}{0.064} \approx 10.83$ years\)
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4 Amanda and Blake played a board game. In the game, Amanda had
$2,740 in play money and Blake had $3,560. Amanda had to give some
money Amanda had. How much play money did Blake have in the end?
Answers
The amount of money Blake have in the end is 3560 + (2740 - x)
In the game Amanda had $2740 in play money and Blake had $3560 in play money.
Amanda had to give some money she possessed.
Let
what remains after Amanda gave the money = x
Therefore, Blake will have the following money at the end .
The amount she gave to Blake = (2740 - x)
Blake money = 3560 + (2740 - x)
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564 ÷ 18 as a fraction
Answers
Answer: The simplest form of 564/18 is 94/3.
Step-by-step explanation: Hope this helps
plz help me math work question in photo
Answers
the answer is C.
the exponent of 10 is -2, so the decimal point will move to the left two spaces which makes .0254 mm
A farmer sold 53.2 pounds of carrots and 29.4 pounds of green beans to a restaurant. How many pounds of these two vegetables did the restaurant buy? Explain your thinking. *
Answers
Answer:
just add up the 2 numbers pretty simple
Step-by-step explanation:
53.2 plus 29.4
Answer: 82.6 lb
Step-by-step explanation:
Since the restaurant is buying the pounds given from the farmer, add the pounds together.
Add
53.2 + 29.4 = 82.6
Hence, the restaurant bought 82.6 pounds of vegetables.
A plane intersects a double-napped cone such that the plane contains the generating line.
Which terms describe the degenerate conic section that is formed?
Select each correct answer.
degenerate hyperbola
pair of intersecting lines
degenerate ellipse
line
degenerate parabola
points
Answers
Answer:
line and degenerate parbola
Step-by-step explanation:
What is the volume of the following rectangular prism? 3 1/3 1 2/5
Answers
Area of rectangular prism: Base x Height.
so 3x1/3x2/5=0.4 0r 2/5
Rebecca is playing a video game that involves planting and cutting down trees. She moves up an energy level for each tree she plants, and she moves down a level for each tree she cuts. If Rebecca reaches energy level 10, she will earn bonus points.
Rebecca is currently at energy level 4. The results of her next 3 turns are:
Turn 1: 6 trees cut
Turn 2: 8 trees planted
Turn 3: 1 tree cut
Answer the questions to find out whether Rebecca earned bonus points in the next 3 turns. Use the number line to help you add.
1. Using only addition, write an expression that represents Rebecca's score after these three turns. (Remember that she starts at an energy level of 4.). (2 points)
2. What is Rebecca's energy level after Turn 1? (2 points)
3. What is Rebecca's energy level after Turn 2? (3 points)
4. What is Rebecca's energy level after Turn 3? Will she earn bonus points after Turn 3? Explain why or why not. (3 points)
And lastly please show your work on each one. Ill give brainliest to the one that is 100% correct.
Answers
Answer:
1. I'm not sure of this one so look up "How to write an expression using only addition with numbers" or something like that. 2. after turn one she will have -2 points 3. after turn 2 she will have 6 points 4. after turn 3 she will have 5 points. She will not earn bonus points after turn three because she didn't reach over ten points.
Step-by-step explanation:
The variables y and x have a proportional relationship, and y = 28 when x = 21.
What is the value of x when y = 42?
0 x = 14
o x = 18
o x = 31
OX = 56
Answers
Answer:
c
Step-by-step explanation:
Which of the following can be used as "reasons" in a two-column proof?
Answers
Answer:
A definition and a theorem can be used as a reason in a two-column proof. A two column proof is assembled into statement and reason columns, where each statement should have verified reason.
Step-by-step explanation:
Answer:
Definitions and algebraic properties
Step-by-step explanation:
Aanya lives in Ohio. She immigrated with her family from India to North America. Aanya wants to visit a cousin in Toronto by driving. The gate person at the Peace Bridge in Buffalo, NY tells her that Toronto is 500 km north on Highways 400/401. How far is that in miles? After Aanya arrives, she and her cousin compare efficiencies of their cars. Aanya’s car averages 30 mi/gallon, but she needs to convert that to km/liter. Using the conversions 1 km = 0.62 mi, 1 mi = 1.61 km, and 1 qt = 0.946 liters, determine the distance from the Peace Bridge to Toronto in miles and the efficiency of Aanya’s car in km/liter (hint on the latter—first get km/gallon, then km/liter). Both parts of an answer must be correct.
(a) 300 mi, 48.3 km/liter (b) 310 mi, 12.76km/liter (c) 320 miles, 14 km/liter
(d) 330 miles, 7.5 km/liter (e) 620 miles, 48.3 km/liter (f) none of the above
Answers
Answer:
(b) 310 mi, 12.76km/liter
Step-by-step explanation:
We are told that Toronto is 500 km north on Highways. Since 1 km = 0.62 mi, then Toronto is: 500 × 0.62 = 310 miles
Aanya’s car averages 30 mi/gallon.
We are told that 1 mi = 1.61 km
Thus, her average is now;
30 × 1.61 km/gallon = 48.3 km/gallon
We are told that 1 qt = 0.946 liters
But also, 0.25 gallon = 1 qt
Thus;
0.25 gallon = 0.946 litres
Thus, 1 gallon = 0.946/0.25 litres = 3.784 litres
Thus, 48.3 km/gallon to km/litres = 48.3/3.784 = 12.76 km/litres
Answer is 310 miles and 12.76 km/litres
Question 3: Is the mean hemoglobin level of high-altitude workers different from 20 g/cm ? To investigate this, researchers examined a sample of 20 workers and found that sample mean hemoglobin level is 17 g/cm whereas sample standard deviation is 3 g/cm². Test this claim at alpha=0.10.
Answers
Answer:
Science is really connected to mathematics.Hemoglobin is the red bloodpls answer will give brainliest answer
Answers
Answer:
∠A= ∠E, ∠H = ∠D
and the last one
Step-by-step explanation:
opposite angles are equal, alternative interior angle are equal.
Answer:
∠A = ∠E and ∠H = ∠D.
∠E = ∠H and ∠F = ∠G
Step-by-step explanation:
Angles A and E are one set of corresponding angles and angles H and D are another set. Corresponding angles are always congruent to each other and thus equal. Therefore, ∠A = ∠E and ∠H = ∠D.
Angles E and H are one set of vertical angles and angles F and G are another set. Vertical angles are also always congruent to each other and thus equal. Therefore ∠E = ∠H and ∠F = ∠G
In a random sample of 100 students from a large high school, 37 regularly bring a reusable water bottle from home. Which of the following gives the correct value and interpretation of the standard error of the sample proportion? (a) In samples of size 100 from this school, the sample proportion of students who bring a reusable water bottle from home will be at most 0.095 from the true proportion. (b) In samples of size 100 from this school, the sample proportion of students who bring a reusable water bottle from home will be at most 0.048 from the true proportion. is ne (c) In samples of size 100 from this school, the sample proportion of students who bring a reusable water bottle from home typically varies by about 0.095 from the true proportion.
(d) In samples of size 100 from this school, the sample proportion of students who bring a reusable water bottle from home typically varies by about 0.048 from the true proportion (e) There is not enough information to calculate the standard error.
Answers
The standard error tells us how much we can expect the sample proportion to vary from the true proportion in repeated samples of the same size. Option (d) correctly states that "In samples of size 100 from this school, the sample proportion of students who bring a reusable water bottle from home typically varies by about 0.048 from the true proportion." This means that if we were to take many samples of 100 students from the same school and calculate the proportion of students who bring a reusable water bottle from home in each sample, about 95% of the sample proportions would fall within +/-0.048 of the true proportion.
What is the best interpretation of the standard errorThe correct option is (d) "In samples of size 100 from this school, the sample proportion of students who bring a reusable water bottle from home typically varies by about 0.048 from the true proportion."
The standard error of the sample proportion can be calculated using the formula:
SE = √[p*(1-p) / n]
where p is the sample proportion and n is the sample size.
In this case, the sample proportion is 37/100 = 0.37 and the sample size is 100. Plugging in these values, we get:
SE = sqrt[0.37*(1-0.37) / 100] = 0.048
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Refer to the figure. Find m SUV.
Help :(
Answers
Answer:122°
Since USM is 180° you take 180 and 58° and then subtract them and you get 122°.
The graph of the function f(x) = (x − 3)(x + 1) is shown.
On a coordinate plane, a parabola opens up. It goes through (negative 1, 0), has a vertex at (1, negative 4), and goes through (3, 0).
Which describes all of the values for which the graph is positive and decreasing?
all real values of x where x < −1
all real values of x where x < 1
all real values of x where 1 < x < 3
all real values of x where x > 3
Answers
The expression that describes all of the values for which the graph is positive and decreasing is all real values of x where x < -1
Which describes all of the values for which the graph is positive and decreasing?The equation of the function is given as:
f(x) = (x - 3)(x + 1)
When the value of the graph is positive, we have:
f(x) > 0
So, the function becomes
(x - 3)(x + 1) > 0
Split the above inequality
x - 3 > 0 and x + 1 > 0
Solve for x in the inequalities
x > 3 and x > -1
Hence, the expression that describes all of the values for which the graph is positive and decreasing is all real values of x where x < -1
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Three consecutive intergers have a sum of 84. Find the intergers
___,___,___,
Answers
Answer:
27 + 28 + 29 = 84
Step-by-step explanation:
x + (x+1) + (x+2) = 84
3x + 3 = 84
84 - 3 = 81
81 / 3 = 27
A red purse contains $7, and a black purse contains $10. Each package contains X red purses and Y black purses. If there are N packages (N ≥ 2) and the total value of them is $2021 and if each of X, Y, and N are positive integers, what is X+Y+N?
Answers
If each of X, Y, and N are positive integers, then the value of X+Y+N is 212.1
What are system of inequalities?A collection of inequalities for which we consider common solution for all inequalities is called a system of inequalities.
WE are given that A red purse contains $7, and a black purse contains $10. Each package contains X red purses and Y black purses.
X = 7
Y = 10
If there are N packages (N ≥ 2) and the total value of them is $2021
X + Y = One packages
N packages = N(X + Y ) = 10 N
if each of X, Y, and N are positive integers, then;
10 N = 2021
N = 2021/10
N = 202.1
Therefore, X+Y+N = 10 + 202.1 = 212.1
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The side of a triangle are in the ratio 4:4:3 what kind of triangle is it (b) calculate the smallest angle of the triangle to the nearest degree
Answers
The smallest angle of the equilateral triangle is 60 degrees
If the sides of a triangle are in the ratio 4:4:3, it implies that the lengths of the sides are proportional.
To determine the type of triangle, we examine the side lengths. Since all three sides are equal in length, we have an equilateral triangle.
For an equilateral triangle, all angles are equal. To calculate the smallest angle, we divide the total sum of angles in a triangle (180 degrees) by the number of angles, which is 3:
Smallest angle \(= \frac{180}{3} = 60\)\) degrees.
Therefore, the smallest angle of the equilateral triangle is 60 degrees (to the nearest degree).
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17. A sample of tap water has a pH of 6.3. How much more acidic is this tap water than distilled water, in terms of their hydrogen ion concentrations? Round your answer to the nearest tenth.
Answers
The pH of a substance is a measure of its acidity or basicity. The lower the pH, the more acidic the substance is. The pH scale ranges from 0 to 14, with 7 being neutral (neither acidic nor basic), and numbers below 7 indicating increasing acidity.
The relationship between pH and hydrogen ion concentration is given by the formula:
pH = -log[H+],
where [H+] is the hydrogen ion concentration in moles per liter (mol/L).
Distilled water has a pH of about 7, which means that its hydrogen ion concentration is [H+] = 10^(-7) mol/L.
The tap water in this question has a pH of 6.3. To find its hydrogen ion concentration, we can use the formula above:
6.3 = -log[H+]
[H+] = 10^(-6.3) mol/L
The tap water is more acidic than distilled water by a factor of:
[H+]_tap / [H+]_distilled = 10^(-6.3) / 10^(-7) = 10^(0.7) ≈ 5.0
Therefore, the tap water is about 5 times more acidic than distilled water in terms of their hydrogen ion concentrations.
Z varies directly as the square of x. If z=48 when x=4, find z when x=5
Answers
Answer:
60
Step-by-step explanation:
z = kx
48 = k(4)
k = 12
z = 12(5)
z = 60
Inflation is causing prices to rise at a rate of 10% per year. For an item that costs $300 today, what will be in 4 years?
Answers
Answer:
I'd say 439.3!
Step-by-step explanation:
I'm so sorry if this is wrong!
7 milliliters is how many teaspoons? Hint: 1 mL ≈ 0.2 tsp Round your answer to the nearest tenth. Submit
Answers
Answer:
1.4 Teaspoons
Step-by-step explanation:
7 times .2 = 1.4
1.4 tsp
7 x .2 = 1.4 tsp
myopenmath.comA CBS News poll involved a nationwide random sample of 651 adults, asked those adults about theirparty affiliation (Democrat, Republican or none) and their opinion of how the US economy waschanging ("getting better," "getting worse" or "about the same"). The results are shown in the tablebelow.betterworsesame1043844RepublicanDemocrat128790137118none21If we randomly select one of the adults who participated in this study, compute the followingprobabilities. (round to four decimal places)a. P (Democrat) =b. P (worse) =C. P (worse Democrat) =d. P (Democrat worse) =e. P(Democrat and worse) =CalculatorScratchwork Area
Answers
Solution:
Given:
The table of the poll results;
The formula for calculating probability is given by;
\(\text{Probability}=\frac{n\text{ umber of required outcomes}}{n\text{ umber of total outcomes}}\)a) The P(Democrat) is;
\(\begin{gathered} \text{P(Democrat)}=\frac{\text{ total number of democrat}}{n\text{ umber of total outcomes}} \\ P(\text{Democrat)}=\frac{236}{651} \\ P(\text{Democrat)}=0.3625 \end{gathered}\)Therefore, the probability that it is a democrat is 0.3625
b) The P(worse) is;
\(\begin{gathered} \text{P(worse)}=\frac{\text{ total number of worse}}{n\text{ umber of total outcomes}} \\ P(\text{worse)}=\frac{299}{651} \\ P(\text{worse)}=0.4593 \end{gathered}\)
Therefore, the probability that it is worse is 0.4593
c) The P(worse|Democrat)- This is a conditional probability.
We use the conditional probability formula to solve this.
Conditional probability is given by;
\(P(A|B)=\frac{P(A\cap B)}{P(B)}\)Hence,
\(\begin{gathered} \text{Probability of worse given democrat=}\frac{P(worse\text{ and democrat)}}{\text{Probability (democrat)}} \\ P(\text{worse}|\text{democrat)}=\frac{137}{651}\text{ /}\frac{236}{651} \\ P(\text{worse}|\text{democrat)}=\frac{137}{651}\times\frac{651}{236} \\ P(\text{worse}|\text{democrat)}=\frac{137}{236} \\ P(\text{worse}|\text{democrat)}=0.5805 \end{gathered}\)Therefore, the probability of worse given democrat is 0.5805
d) The P(Democrat|worse) is;
\(\begin{gathered} \text{Probability of democrat given worse=}\frac{P(democrat\text{ and worse)}}{\text{Probability (worse)}} \\ P(\text{democrat}|\text{worse)}=\frac{137}{651}\text{ /}\frac{299}{651} \\ P(\text{democrat}|\text{worse)}=\frac{137}{651}\times\frac{651}{299} \\ P(\text{democrat}|\text{worse)}=\frac{137}{299} \\ P(\text{democrat}|\text{worse)}=0.4582 \end{gathered}\)Therefore, the probability of democrat given worse is 0.4582
e) The P(Democrat and worse) is;
\(\begin{gathered} P(A|B)=\frac{P(A\cap B)}{P(B)} \\ P(A\cap B)=P(A|B)\times P(B) \\ P(\text{Democrat and worse)=P(Democrat|worse)}\times P(worse) \\ P(\text{Democrat}|\text{worse) calculated in option (d) above = 0.4582} \\ P(\text{worse) calculated in option (b) above = 0.4593} \\ \\ \text{Hence,} \\ P(\text{Democrat and worse)=P(Democrat|worse)}\times P(worse) \\ P(\text{Democrat and worse)=}0.4582\times0.4593 \\ P(\text{Democrat and worse)=}0.2105 \\ \\ \\ \\ \text{Alternatively,} \\ P(\text{Democrat and worse)=}\frac{n\text{ umber of democrat and worse}}{\text{total number}} \\ P(\text{Democrat and worse)=}\frac{137}{651} \\ P(\text{Democrat and worse)=}0.210445 \\ P(\text{Democrat and worse)=}0.2105 \end{gathered}\)Therefore, the probability of democrat and worse is 0.2105
Find the percent change from the first value to the second.
40; 70
Answers
Answer:
75%
Step-by-step explanation:
Answer:
75% increase
Step-by-step explanation:
The advertised weight of a Snickers Fun Size bar is 17 grams. What proportion of candy bars in this sample weigh less than advertised
Answers
Answer:
0.412
Step-by-step explanation:
Given the stem plot figure out which ones are below 17g.
So: 7g / 17g = 0.412 which is the proportion
Write an equation for the line in slope-intercept form.
Answers
When the coordinate is (-3, -3) and the slope is -1, the y-intercept is -4.
What is slope?Slope is a measure of the stainless of a line what is surface and it represent by the letter m. It is calculated by dividing the vertical change in the line or surface by the horizontal change in the line or surface. Slope is used in mathematics engineering and other science to measure the rate of change between two point.
The y-intercept is the point at which a line crosses the y-axis when plotting coordinates on a graph. To find the y-intercept, you need to use the equation y = mx + b, where m is the slope and b is the y-intercept. In this case, the equation would be y = -1x - 4. This equation can be used to solve for the y-intercept when the coordinate is (-3, -3). By substituting -3 for x and -3 for y, the equation can be rearranged to -3 = -1(-3) - b, which simplifies to -4 = -b. Therefore, the y-intercept is -4.
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What is the surface area of a sphere with diameter 8 cm?
Answers
Answer:
As = 256\(\pi\) or 804.25cm
Step-by-step explanation:
By formula As = \(4\pi r^{2}\)
As = 256\(\pi\) or 804.25cm
15, 16, 19, 20 how do i label it pls help
Answers
The quadrant of the terminal side for 15) is fourth quadrant.
How to change radians in degree?To change from radians to degrees, you need to the multiple the number of radians by 180/π.
Multiple the number of radians by 180/π.
15) 5 radians = 5 * (180/π)
16) 11π/6 = (11*180)/6 = 330.
19) 3.5 = 3.5*(π/180) degree.
20) 1 = 1*(π/180) degree.
therefore, terminal side for 15) is fourth quadrant.
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