The domain is all real numbers, range is all positive real numbers. As x decreases, h(x) will decrease. As x increases, h(x) will increase.
The domain of the exponential function h(x) = 125x is all real numbers, as x can take on any value.
The range of the function is all positive real numbers, as the base (125) raised to any power (x) will always be positive.
As x decreases, h(x) will decrease. This is because when the base of an exponential function is greater than 1, as is the case here with 125, the function increases as the exponent increases, and decreases as the exponent decreases. So, as x becomes more negative, h(x) becomes smaller.
As x increases, h(x) will increase. This is because, as mentioned above, when the base of an exponential function is greater than 1, the function increases as the exponent increases. So, as x becomes more positive, h(x) becomes larger.
Overall, the function h(x) = 125x is an increasing function with a domain of all real numbers and a range of all positive real numbers.
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Find the are of square 3
P is a forty year old woman and would like to purchase an annuity that will provide a lifetime income stream beginning at age sixty. Which of the following did she NOT buy?
a. A straight life annuity
b. A variable annuity
c. An immediate annuity
d. A deferred annuity
b. A variable annuity.
P did not buy a variable annuity. Variable annuities are investment products that allow individuals to allocate their annuity funds among various investment options. The income stream from a variable annuity is not fixed and can fluctuate based on the performance of the chosen investments.
In this case, P is looking for a lifetime income stream beginning at age sixty, which indicates a desire for a fixed income. Therefore, P most likely purchased a straight life annuity, an immediate annuity, or a deferred annuity, all of which provide a fixed income stream.
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find the critical numbers of the function on the interval 0 ≤ θ < 2π. g(θ) = 4 θ - tan(θ)
The critical numbers of the function on the interval 0 ≤ θ < 2π are:
θ = 0, θ = π, θ = π/3, θ = 2π/3, θ = 4π/3, and θ = 5π/3.
we now have the smaller values of θ are θ = 0 and θ = π/3, while the larger values are θ = 2
What is a critical number?The critical numbers of a function are described as the values of the independent variable for which the function is not differentiable.
In our own case, the function f(θ) = 2cos(θ) +(sin(θ))^2, the critical numbers are the values of θ for which the derivative is not defined.
We can write the derivative of the function as:
f'(θ) = -2sin(θ) + 2sin(θ)cos(θ) = sin(θ)(2cos(θ) - 1)
The derivative is not defined when sin(θ) = 0 or cos(θ) = 1/2.
The values of θ for which sin(θ) = 0 are θ = 0, θ = π, θ = 2π, etc.
The values of θ for which cos(θ) = 1/2 are θ = π/3, θ = 2π/3, θ = 4π/3, θ = 5π/3, etc.
Hence, the critical numbers of the function on the interval 0 ≤ θ < 2π are:
θ = 0, θ = π, θ = π/3, θ = 2π/3, θ = 4π/3, and θ = 5π/3.
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complete question:
Find the critical numbers of the function on the interval 0≤ θ < 2π.
f(θ) = 2cos(θ) +(sin(θ))2
θ =? (smallervalue)
θ =? (larger value)
Pythagorean theorems
Jo flips a coin {h, t}; then rolls a 6-sided die {1, 2, 3, 4, 5, 6}. How many possible outcomes are in the sample space of this experiment?.
The possible outcomes in the sample space of this experiment are
{(h,1),,(h,2),(h,3),(h,4),(h,5),(h,6),(t,1),(t,2),(t,3),(t,4),(t,5),(t,6)}
Jo flips a coin sample space for a coin = {h, t}
and rolls a 6-sided die sample space for a die = {1,2,3,4,5,6}
at a time coin is tossed and the die is rolled
the possible outcomes in the sample space of this experiment are
{(h,1),,(h,2),(h,3),(h,4),(h,5),(h,6),(t,1),(t,2),(t,3),(t,4),(t,5),(t,6)}
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What is the value of in if the remainder of n/4 is 2?
O A. -1
О в. і
O c. -i
O D. 1
An angle measures 63.4° less than the measure of its supplementary angle. What is the measure of each angle?
The measure of the angles required are,
Angle A = 58.3deg
Angle B = 121.7deg
What are Supplementary Angles?If two angles sum up to 180 degrees, they are referred to as supplementary angles. When paired, supplementary angles result in a straight angle (180 degrees). In other words, if angle 1 plus angle 2 equals 180 degrees, angle 1 and angle 2 are supplementary. In this case, Angles 1 and 2 are referred to as "supplements" of one another.
Supplementary angles, by definition, add to to a sum of 180deg.
So what we know is:
Angle B + Angle A = 180deg
Angle B - 63.4deg = Angle A
By substitution:
Angle B + (Angle B - 63.4deg) = 180deg
Using the commutative property of addition, we can re-write the equation as:
(Angle B + Angle B) - 63.4deg = 180deg
We can add 63.4deg to both sides of the equation:
(Angle B + Angle B) - 63.4deg + 63.4deg = 180deg + 63.4deg
By simplifying, that gives us:
2(Angle B) = 243.4deg
Dividing both sides of the equation by 2, we can determine the measure of Angle B:
Angle B = 243.4deg/2 = 121.7deg
Now we have the measure of one of the angles, which we can plug back into our first equation:
Angle B + Angle A = 180deg
121.7deg + Angle A = 180deg
Subtracting 121.7deg from both sides, we get:
Angle A = 180deg - 121.7deg = 58.3deg
There’s your answer:
Angle A = 58.3deg
Angle B = 121.7deg
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The number of tiles used on the floor were twelve times the square of the length of the floor. Write an algebraic expression that models the number of tiles with respect to the length of the floor.
Answer:
\(n = 12l^2\)Step-by-step explanation:
Let the length of the floor is l and number of tiles is n.
The expression would be:
\(n = 12l^2\)Please help me!!!!!!!!!
Why was isolationism so popular in the United States in the 1920s and 1930s ?
The Great Depression and the memories of the catastrophic losses in World War I combined in the 1930s to push American public opinion and policy in the direction of isolationism. Isolationists favored staying out of international affairs and staying out of conflicts in Europe and Asia.
The devastation and expense of World War One had left their imprint on America, and the majority of people there just wanted to be left alone to focus on fostering prosperity in their country rather than be involved in any further politics in Europe.
Because they did not want the US to be drawn into another conflict the way they (perceived) it had been into World War I, many Americans in the 1930s backed an isolationist stance.
Because when he first became office, he felt at ease reaching out to the globe in a variety of ways. However, after realizing that his neighbors did not get along, he decided it would not be best for the US to become involved.
Therefore,
The Great Depression and the memories of the catastrophic losses in World War I combined in the 1930s to push American public opinion and policy in the direction of isolationism. Isolationists favored staying out of international affairs and staying out of conflicts in Europe and Asia.
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Find a good example of a partner integration inside the event, be prepared to show the example and explain - why and in what ways do you consider this integration efficient! What gains both sides - the event organizers and the partner?
One example of a partner integration inside an event is a beverage company sponsoring a music festival and providing branded beverage stations throughout the venue. This integration is efficient for both the event organizers and the partner due to several reasons.
1. Enhanced Brand Visibility: By having branded beverage stations strategically placed throughout the event, the beverage company gains significant brand visibility. Attendees see their brand logo and products prominently displayed, leading to increased brand awareness and recognition. This exposure can translate into future sales and brand loyalty.
2. Targeted Marketing: The partnership allows the beverage company to directly target its desired audience. Music festival attendees are often young, active, and interested in social experiences, aligning with the target market for the beverage company. This focused marketing approach maximizes the chances of connecting with potential customers and generating sales.
3. Positive Brand Association: Associating the beverage brand with a popular music festival creates a positive brand association. Attendees may perceive the brand as cool, trendy, and aligned with their lifestyle. This association can enhance the brand's image and reputation, leading to increased customer trust and preference.
4. Revenue Generation: The partnership can generate revenue for both parties. The event organizers receive financial support from the beverage company as a sponsor, helping offset event costs and potentially improving the overall experience for attendees. Meanwhile, the beverage company gains access to a large audience and potential customers, increasing the opportunity for product sales and revenue generation.
5. Experiential Marketing: The beverage stations create an interactive and engaging experience for attendees. They serve as gathering points, allowing people to socialize, relax, and enjoy the event while enjoying the partner's beverages. This experiential marketing approach fosters a positive brand experience and deeper brand connection, increasing the likelihood of brand recall and future product engagement.
Overall, this partner integration inside the event is efficient because it creates a win-win situation for both the event organizers and the partner. The event gains financial support, enhanced attendee experience, and potential long-term sponsor relationships. The partner gains increased brand visibility, targeted marketing, positive brand association, revenue generation, and an opportunity to engage with their target audience in a memorable and experiential way.
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The law of cosines find the missing side or angle
Step-by-step explanation:
\( \cos(x) = \frac{11}{17} \\ x = 49.68\)
Answer:
\( \cos(x) = adj \div hyp \\ = 10 \div 17 = 0.58 \\ x = \cos { - 1 = 54.5}^{} \)
....
Look at quadrilaterals J (1,5) K (2,6) L (2,3) M (1,3) and J' (0,-4) K' (2,-3) L' (2,-6) M' (1,-6) the image of JKLM after a transformation, on the coordinate plane below. Which transformation on quadrilateral JKLM will produce the image J'K'L'M'?
Answer:
translation (x, y-9)
Step-by-step explanation:
Assuming that point J has the coordinates (0, 5),
the transformation is a translation (x, y-9)
J (0,5) → J' (0, 5-9) → J' (0,-4)
K (2,6) → K' (2, 6-9) → K' (2,-3)
L (2,3) → L' (2, 3-9) → L' (2,-6)
M (1,3) → M' (1, 9-3) → M' (1,-6)
Answer:
down 9
Step-by-step explanation:
Can you help me with is 3x+6y=6
2x+y=1 but the anwser has to be with two points
The two points that solve the given equations are (5, -1.5) and (-0.915, 1.83).
The given equations are 3x + 6y = 6 and 2x + y = 1. To solve these equations and find the two points, we need to first solve for either x or y.
To solve for x, we can subtract two times the second equation from the first equation. This will give us x by itself on one side of the equation.
3x + 6y = 6
2x + y = 1
3x - 2x = 6 - 1
x = 5
Now that we have the value of x, we can substitute it into either equation and solve for y. Let's use the first equation for this.
3x + 6y = 6
3(5) + 6y = 6
15 + 6y = 6
6y = -9
y = -1.5
Now that we have the values of x and y, we can put them into an ordered pair and have our first point.
Point 1: (5, -1.5)
Let's repeat the process to get our second point. We can start with solving for y in the second equation.
2x + y = 1
2x + y - y = 1 - y
2x = 1 - y
2x/2 = (1 - y)/2
x = (1 - y)/2
Now that we have the value of x, we can substitute it into either equation and solve for y. Let's use the first equation for this.
3x + 6y = 6
3((1 - y)/2) + 6y = 6
3/2 + 3y = 6
3y = 6 - 3/2
3y = 5.5
y = 1.83
Now that we have the values of x and y, we can put them into an ordered pair and have our second point.
Point 2: ((1 - 1.83)/2, 1.83)
Point 2: (-0.915, 1.83)
Therefore, the two points that solve the given equations are (5, -1.5) and (-0.915, 1.83).
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Un gusano se encuentra en el fondo de un pozo. Durante el día sube 2m y durante la noche baja 1m . ¿Qué altura ha subido después de tres días y dos noches?
El gusano ha subido 4 metros después de tres días y dos noches.
Un gusano se encuentra en el fondo de un pozo. Durante el día sube 2 m y durante la noche baja 1 m.
DatosPara establecer la longitud recorrida luego de tres días y dos noches se debe tener en cuenta que:
Primer día: sube 2 metrosPrimera noche: baja 1 metroSegundo día: sube 2 metrosSegunda noche: baja 1 metroTercer día: sube 2 metrosSuma de números enterosAhora se suma los números enteros, considerando que si el gusano sube el número es positivo y si baja el número es negativo:
2m - 1m + 2m - 1m + 2m = (2 m + 2m + 2m) + (-1m - 1m) = 6 m - 2m = 4 metros
Altura subidaEl gusano ha subido 4 metros después de tres días y dos noches.
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The team manager for a high school basketball team discarded a lower
outlier and calculated that the mean number of points scored per game
was 45 and the median was 48.
What is the likely effect if the analyst decides to include the lower outlier in the
calculations?
a) The median will remain about the same, but the mean will decrease.
b) The median will decrease, and the mean will increase.
c) The mean will stay about the same, but the median will decrease.
d) The median and mean will both stay about the same.
Answer:
The median will remain about the same, but the mean will decrease.
Step-by-step explanation:
Cus i said so
Answer:
The median will remain about the same, but the mean will decrease.
Edge 2020
Question 16
Use Part 1 of the function
h (x)= ∫_1^(√x)▒〖z^2/(z^4+ 1) dz 〗 O √X/(x^2+ 1) O √(x^2+ 1)/2
O √(x+ 1)/(x^2+ 2) O √x/(2(x^2+ 1))
O none of these
The function h(x) given by h(x) = ∫(1 to √x) z^2/(z^4 + 1) dz is equal to √(x+1)/(x^2+2), which corresponds to option C.
To find the integral of the function h(x), we evaluate the definite integral with the given limits of integration. Applying the appropriate integration techniques, we find that h(x) = [√(x^2 + 1)]/2 evaluated at the upper limit √x and the lower limit 1.
Simplifying this expression, we obtain h(x) = √(x+1)/(x^2+2). Therefore, the correct answer is option C, √(x+1)/(x^2+2), as it represents the value of the integral h(x).
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solve m : m - 7 = 24
Answer:
m = 31
Step-by-step explanation:
M<7=100 find measure of <11
Answer:i think its 115 degres
Step-by-step explanation:
pls solve plsssssssss
Answer:
D. It represents .90 cents, which is $5.40 divided by 6
the expected cell frequency is based on the researcher's opinion.
True or false
False. The expected cell frequency in statistical analysis, specifically in the context of contingency tables and chi-square tests, is not based on the researcher's opinion. Instead, it is determined through mathematical calculations and statistical assumptions.
In contingency tables, the expected cell frequency refers to the expected number of observations that would fall into a particular cell if the null hypothesis of independence is true (i.e., if there is no relationship between the variables being studied). The expected cell frequency is calculated based on the marginal totals (row totals and column totals) and the overall sample size.
The expected cell frequency is computed using statistical formulas and is not influenced by the researcher's opinion or subjective judgment. It is a crucial component in determining whether the observed frequencies in the cells significantly deviate from what would be expected under the null hypothesis.
By comparing the observed cell frequencies with the expected cell frequencies, statistical tests like the chi-square test can assess the association or independence between categorical variables in a data set.
Thus, the statement "the expected cell frequency is based on the researcher's opinion" is false. The expected cell frequency is derived through statistical calculations and is not subject to the researcher's subjective input.
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PLEASE HELP QUESTION IN PICTURE
D and F are correct
Answer:
B
Step-by-step explanation:
First of all we know b is a parrellogram, so it is b.
But also other reasons:
It can't be A because they are next to each other, in fact supplementary angles. It can't be C because it doesn't make any sense and same thing for E.
Tommy's salary increases by 4% each year. This year, Tommy's salaray was $42,250. How much will her salary be in 7 years?
**Simplify ALL of the way and round to the NEAREST whole number**
Answer:
$295,750
Step-by-step explanation:
Given
Tommy's salary increases by 4% each year.
Increase to 4%
1 year = $42,250
7 years = $?
To find
So if 1 year is $42,250, then to find 7 years, you multiply the given by what you are trying to find.
Set up.
1/42250 x 7/x =
295,750
Therefore, Tommy's salary be in $295,750 7 years.
does anyone know this?
what is the solution of the equation. Find the value of y when x equals 1 9x+7y= -12
Answer:
-3
Step-by-step explanation:
Since x=1, we can simplify the equation to 9+7y=-12.
To find the value of 7y, we first have to find what is missing.
-12-9=-21, so 7y has to be equal to -21. -21/7 equals -3, so y=-3.
Mike used of a cup of vinegar in his salad dressing recipe. He made 3 salad dressing recipes. Between which two whole numbers does the number of cups of vinegar that Mike used lie?
The number of cups of vinegar that Mike used lies between the whole numbers 2 and 4
If Mike used one cup of vinegar for each salad dressing recipe, then he used a total of 3 cups of vinegar (1 cup x 3 recipes = 3 cups).
However, the question states that he used "a cup of vinegar" in each recipe, which could mean that he used slightly less than one cup, exactly one cup, or slightly more than one cup.
Assuming that Mike used at least 3/4 cup of vinegar in each recipe (which is still close to "a cup"), then he used a minimum of 2 and 1/4 cups of vinegar in total (3/4 cup x 3 recipes = 2 and 1/4 cups).
Assuming that Mike used at most 1 and 1/4 cups of vinegar in each recipe (which is still close to "a cup"), then he used a maximum of 3 and 3/4 cups of vinegar in total (1 and 1/4 cups x 3 recipes = 3 and 3/4 cups).
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Fill in the blank with a constant, so that the resulting quadratic expression is the square of a binomial. \[x^2 22x \underline{~~~~}.\]
The square of a binomial, the value of the constant \(c\) should be equal to half the coefficient of the linear term squared, which in this case is \(c = \left(\frac{22}{2}\right)^2 = 121\). Therefore, the constant that needs to be filled in is 121.
To express the quadratic expression \(x^2 + 22x + c\) as the square of a binomial, we need to find a binomial of the form \((x + a)^2\) that expands to \(x^2 + 22x + c\). Expanding \((x + a)^2\) gives \(x^2 + 2ax + a^2\). Comparing the coefficients of the expanded binomial and the given quadratic expression, we can equate the linear terms to find \(2ax = 22x\), which gives \(a = 11\). Substituting this value of \(a\) back into the expanded binomial, we have \(x^2 + 22x + 121\). Therefore, the constant that needs to be filled in is 121.
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Find the slope of the line represented by the data below
Answer:
m = -3
Step-by-step explanation:
We Know
Slope = rise/run or (y2 - y1) / (x2 - x1)
Pick 2 points (0,15) (2,9)
We see the y decrease by 6, and the x increase by 2, so the slope is
m = -6/2 = -3
So, the slope of the line representing the data is -3.
Fractions: three oil tankers together contain 37 5/7 litres of oil. If two tankers have 11 3/14 litres and 12 3/7 litres of oil. Find the oil in the third tanker
Step-by-step explanation:
It is given that, three oil tankers together contain 37 5/7 litres of oil.
Total volume of oil is \(\dfrac{264}{7}\ L\)
If two tankers have 11 3/14 litres and 12 3/7 litres of oil.
Oil in first tanker is \(\dfrac{157}{14}\ L\)
Oil in second tanker is \(\dfrac{87}{7}\ L\)
Oil in first and second tanker is :
\(\dfrac{157}{14}\ L+\dfrac{87}{7}\ L=\dfrac{331}{14}\ L\)
Noo, oil in the third tanker = total volume - (Oil in first tanker + second tanker )
\(=\dfrac{264}{7}\ L-\dfrac{331}{14}\ L\\\\=\dfrac{197}{14}\ L\)
Hence, this is the required solution.
8(y+4)-2(y-1)=70-3y
solve for y
Answer:
y = 4
Step-by-step explanation:
8(y + 4) - 2(y - 1) = 70 - 3y ← distribute parenthesis and simplify left side
8y + 32 - 2y + 2 = 70 - 3y
6y + 34 = 70 - 3y ( add 3y to both sides )
9y + 34 = 70 ( subtract 34 from both sides )
9y = 36 ( divide both sides by 9 )
y = 4
which equation represents a line with a slope of -5/11 and a y-intercept 3/11
Answer:
y=-5/11x+3/11 (B)
Step-by-step explanation:
m= -5/11
b=3/11
substitute: y=-5/11x+3/11