Answer:
This is the answer:
=20
Given the function h(x)=-x^2-5x+14 determine the average rate of change of the function over the interval -9
Answer:
The average rate of change of the function over the interval is of 6.
Step-by-step explanation:
Average rate of change:
The average rate of change of a function h(x) over an interval [a,b] is given by:
[tex]A = \frac{h(b)-h(a)}{b-a}[/tex]
In this question:
Over the interval [-9,-2], so [tex]a = -9, b = -2, b - a = -2 -(-9) = 7[/tex]
The function is:
[tex]h(x) = -x^2 - 5x + 14[/tex]
[tex]h(-9) = -9^2 -5(-9) + 14 = -81 + 45 + 14 = -22[/tex]
[tex]h(-2) = -2^2 -5(-2) + 14 = -4 + 10 + 14 = 20[/tex]
Then
[tex]A = \frac{h(-2)-h(-9)}{7} = \frac{20-(-22)}{7} = \frac{42}{7} = 6[/tex]
The average rate of change of the function over the interval is of 6.
This Histogram displays the prices in thousands of dollars of seven cars
currently on sale at a local dealership.
Which statement is true about this data?
a) the most expensive car on the lot costs exactly $60,000.
b) the median price is between $20,000 and $30,000.
c) there must be no mode in this data set
d) the prices of five cars must be less than the mean
Answer:
b
Step-by-step explanation:
The median price is between $20,000 and $30,000.
i got it right on the quiz :)
Answer:
B
Step-by-step explanation:
i did the test... a got it correct..
Succession is a gradual process within an ecosystem in which some species replace other species. When a volcano creates a brand new island of rock and then plants start to grow there is an example of ... Question 1 options: Ecological Succession Secondary Succession Micro succession Primary Succession
Answer:
Ecological Succession
When a volcano creates a brand new island of rock and then plants start to grow there is an example of ...
Primary Succession
Step-by-step explanation:
Ecological succession describes the ecological change in structure of a community of different species, or ecosystem. There are three main types of ecological succession. The first type is primary succession, followed by secondary succession, and then cyclic succession. Primary succession is the first formation of plants without soils with the presence of magma and water. Secondary succession takes place with the destruction of primary succession by fire, for example. Cyclic succession is the change of the ecosystem on a cyclic basis depending on time of the year.
Answer:
The answer would be secondary succession :)
Step-by-step explanation:
A theater has 35 seats in the first row. Each row has four more seats than the row before it. Which expression represents the number of seats in the nth row?
Answer:
35x4
Step-by-step explanation:
9. Simplify 1/2 (4a + b) - 1/4 (4a + b)
А. a
B. a + 1/4 b
C. 2a + 1/4 b
D. 2a - b
B: a+ 1/4b Hope this helps!
B. [tex]a + \frac{1}{4} b[/tex] ✅
Step-by-step explanation:
[tex] \frac{1}{2} (4a + b) - \frac{1}{4} (4a + b) \\ = \frac{4a + b}{2} - \frac{4a + b}{4} \\ = \frac{2(4a + b)}{2 \times 2} - \frac{4a + b}{4} \\ = \frac{8a + 2b}{4} - \frac{4a + b}{4} \\ = \frac{8a + 2b - 4a - b}{4} \\ = \frac{4a + b}{4} \\ = \frac{4a}{4} + \frac{b}{4} \\ = a \: + \frac{1}{4} b[/tex]
[tex]\circ \: \: { \underline{ \boxed{ \sf{ \color{green}{Happy\:learning.}}}}}∘[/tex]
Sasha is taking cooking class. The total cost in dollars of the classes can be found using the function d = 12.750 + 35, where c is the number of classes attended. Sasha will attend at least one class and no more than eight classes. What is the domain of the situation?
Answer:
[1,8] or 1 [tex]\leq \\[/tex] x [tex]\leq[/tex] 8
Step-by-step explanation:
The domain is number of classes she can/will take, therefore the domain is between 1 and 8.
Here is a list of numbers:
3,16, 7, 19, 1, 12, 3,9,16,12
State the median.
Answer:
10.5
Step-by-step explanation:
Answer:
Step-by-step explanation:
3,16, 7, 19, 1, 12, 3,9,16,12
First list in ascending order:
= 1 3 3 7 9 12 12 16 16 19
The median is the mean of the middle 2 numbers:
Median = (9 + 12) / 2 = 10.5.
Suppose you save $1 the first day of a month, $4 the second day, $16 the third day, and so on. That is, each day you save four times as much as you did the day before. What will you put aside for savings on the seventh day of the month?
Answer:
$ 4096 on the 7th day
Step-by-step explanation:
From the amount earned for the first 3 days it's 1 , 4 , 16 , .... We realize it increases exponentially.
So therefore:
Day 1 =4⁰
Day 2=4¹
Day 3=4²
Day 4=4³
Day 5=4⁴
Day 6=4⁵
Day 7=4⁶
Therefore on day 7 he saves 4⁶ which is $4096
Alice invests $5,000 at age 28 from the signing bonus of her new job. She hopes the investments will be worth $20,000 when she turns 40. If the interest compounds continuously, approximately what rate of growth will she need to achieve her goal?
Answer:4000 per year
Step-by-step explanation:
write a trigonometric expression for the refracted angle and write the refracted angle in terms of distance d and material width w
Answer: The Diagram of the refracted angle is attached below
answer : ∅ = cos^-1 ( w/d )
Step-by-step explanation:
The trigonometric expression for the refracted angle
with respect to ; Distance ( d ) and width ( w )
Cos ∅ = Adjacent / Hypotenuse ----- ( 1 )
where; adjacent = W . Hypotenuse = d
back to equation 1
Cos ∅ = w / d
∴ ∅ = cos^-1 ( w/d )
PLSSSS HELLPPPPP!!!
Answer: B, D, and F
Step-by-step explanation:
Hi, so for this question, the phone bill is in an equation. Before doing this problem, make sure to understand what the 2 and 56 mean. The problem says that c is the monthly charge, and m is the number of minutes. This means that 2 is the number of dollars required to pay when you use the phone for one minute. So 2 dollars per minute. The 56 is basically the fee that is just charged for using the phone bill. Meaning that even if you don't use the phone at all, you will still need to pay 56 dollars.
By understanding those info, it should be easier to answer.
For A, it is not correct. if you look, although 2*4 is 8 dollars, but you need to add 56 for the monthly bill. (I think when they say 'your bill' they mean the monthly bill).
For B, it is correct. Like I said before, the 56 dollars is there no matter how long you use the phone.
For C, it is not correct. This isn't hard to understand since if B is correct, C is probably not, and vise versa. And the 56 dollars is missing.
For D, it is correct. As I said before, the 2 represents the amount of dollars for one minute.
For E, it is not correct. (Contradicts the previous answer and each minute costs 2 dollars).
For F, it is correct. When you use 2 minutes, the equation is 2*2+56 which is 60 dollars.
Hopefully this helps!
Gail works for Ice Cream To-Go. She needs to fill the new chocolate dip cones completely with vanilla ice cream, so that it is level with the top of the cone. Gail knows that the radius of the inside of the cone top is 25 millimeters and the height of the inside of the cone is 129 millimeters.
Using 3.14 for , how much vanilla ice cream will one chocolate dip cone hold when filled to be level with the top of the cone?
Answer:
In other words, they want you to find the volume of the cone.
Volume of a cone=1/3 (pi * radius^2 *h)
Volume=1/3 [3.14* (22)^2 * 120]
Volume=1/3 (3.14*484*120)
Volume=1/3 (182371.2)
Volume= 182371.2/3
Volume=60790.4
The volume of the cone is 60790.4mm^3
But that is not the final answer. Since liquid is measured in litres, You need to convert it to millilitres. So the answer is that one chocolate dip cone can hold a maximum of 60.9704 milliliters
Step-by-step explanation:
Hope this helps
ddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddd x/8+3=12
Lawns by Brawns uses 13 ounces of fertilizer for 6.5 acres. Assume the company is fertilizing 0.5 of an acre. How much fertilizer does it need
Amount of fertilizers required for 0.5 acres = 1 onces.
What is unitary method?Unitary method is a process with the aid of which we discover the fee of a unmarried unit from the cost of multiple units and the cost of a couple of gadgets from the fee of a unmarried unit. it's far a method that we use for most of the calculations in math.
The technique wherein first we discover the fee of one unit after which the price of the desired wide variety of devices is known as the Unitary method.The formula for unitary approach is to find the price of a unmarried unit after which locate the value of extra or fewer devices by way of multiplying their quantity with the value of a unmarried unit.
In case we are having the cost of multiple items with us, then we are able to genuinely divide the entire cost with the quantity of units to get the price of 1 unit and this technique is known as the unitary method. In easy terms, the unitary method is used to locate the cost of a unmarried unit from a given multiple.
Unitary approach is the technique via which we discover the value of a unmarried unit from the value of multiple units and then use this price to locate the cost of the specified wide variety of devices. cost of many devices.
explanation;
13 0nces of fertilizers required for 6.5 acres
for 1 acres land = 13 / 6.5
onces of fertilizers required = 2 onces
for 0.5 acres = 2 *0.5 = 1 onces of fertilizers required.
Hence required fertilizers = 1 onces.
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PLZ Help ASAP I Dont understand
2 y determinant is the answer
Not sure if i already asked this one! Math help please :)
Answer:
Hello again!
Original coordinates: 5, -2
New coordinates: 0, 4
Heres a picture demonstration to find the new coordinates. How I moved 5 left and 6 up
Hope that helps!
If the graph of a linear equation is translated 4 units down, which statement best describes the change to the equation?
A.The y-intercept of the equation is decreased by 4.
B.The y-intercept of the equation is increased by 4.
C.The slope is changed by a factor of −4
D.The slope is changed by a factor of 4.
The slope is not affected. The y-intercept does not increase. The correct option is A.
What is coordinate geometry?A coordinate plane is a 2D plane that is formed by the intersection of two perpendicular lines known as the x-axis and y-axis. A coordinate system in geometry is a method for determining the positions of the points by using one or more numbers or coordinates.
A translation in mathematics moves a shape left, right, up, or down but does not turn it. The translated (or image) shapes appear to be the same size as the original shape, indicating that they are congruent. They've just moved in one or more directions.
Given that if the graph of a linear equation is translated 4 units down. The slope remains unaffected. The y-intercept does not grow.
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A light bulb consumes 3600 watts-hours per day. How many watts-hours does it consume in 3 days and 6 hours?
Answer:
3 DAYS IS 10800 WATTS.
Step-by-step explanation:
3600 WATTS × 3 DAYS =10800 WATTS.
what is the volume measured in cubic centimeters, of the box below? do not include units in your answer
Answer:
60
Step-by-step explanation:
V = lwh
V= 4x3x5
V=60
Answer:
Solution given:
l=4cm
b=3cm
h=5cm
volume=l*b*h=4*3*5=60cm³
In ΔSTU, s = 98 inches, t = 92 inches and u=70 inches. Find the measure of ∠U to the nearest 10th of a degree.
Answer: is 43.1
Step-by-step explanation:
Which set of values could be the side lengths of a 30-60-90 triangle?
O A. {6, 12, 12 3 }
O B. {6,62,12}
O C. {6, 12, 12.12}
O D. {6,6,13,12}
Answer:
my only question is A
Step-by-step explanation:
when you have a 30-60-90 triangle, you sides will always have a set pattern
Answer: A) {6, 12, 12 3 }
explanation: The sides of a 30-60-90 triangle will always have a consistent design. Thus, the answer is A.
I have 3/4 of all my kittens and 3/4 of a kitten. How many kittens do I have?
Answer:
i think 6/8
Step-by-step explanation:
3/4 x 3/4
3/4 of all kittens and 3/4 of a kitten = 9/16 kittens
What is multiplication?Multiplication is the process of calculating the result when a number is taken times. The result of a multiplication is called the product of and, and each of the numbers and is called a factor of the product.
What are the rules of multiplication?Any number times zero is always zero.Any number times one is always the same number. Add a zero onto the original number when multiplying by 10.The order of factors does not affect the product.Products are always positive when multiplying numbers with the same signs.Learn more about multiplication here: https://brainly.com/question/10873737
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A coin is tossed twice. Let Z denote the number of heads on the first toss and W the number of heads on the second toss. If the coin is unbalanced and a head has a 40% chance of occurring, find
Answer:
0.64
Step-by-step explanation:
Prob ( Head ) = 40% = 0.4 , Prob ( Tail ) = 1 - 40% = 60% = 0.6
4 outcomes = (Head Tail) , (Tail Head) , (Head Head) , (Tail , Tail)
Prob (Atleast one head) = Pr (Head Tail) + Pr (Tail Head) + Pr (Head Head)
(0.4) (0.6) + (0.6) (0.4) = 0.24 + 0.24 + 0.16 = 0.64
5. Jon Metcalf signed a 253-day simple interest note for $7700 with a bank that uses exact interest. If the rate is 10 3/4% find the maturity value.
Answer:
8281.72
Step-by-step explanation:
Given:
Principal, P = 7700
Rate, r = 10 3/4 % = 43/4 % = 0.1075
Time, t = 253 days = 253/ 360
Using the relation :
A = P(1 + rt)
A = maturity value
A = 7700(1 + 0.1075*253/360)
A = 7700(1 + 0.0755486)
A = 7700(1.0755486)
A = 8281.7243
A = 8281.72
PLEASE HELPP!!!
Jamie has a $15 iTunes gift card. Songs cost $0.75 and she wants to keep $5 on the
card. How many songs can she download?
a.
Write and solve the inequality that represents Jamie's situation.
b.
Use your inequality to decide how many songs Jamie can download.
Answer:
13
Step-by-step explanation:
starting equation is 15=0.75(x)+5.
You have to have the numbers on one side so...
15-5=10, and 5-5=0.
now, our equation is 10=0.75(x).
we are looking for x, so....
10/.75= 13 and 1/3.
since there is no such thing as a third of a song, 13 would be our number.
Identify the consequences (i.e., increase, decrease, no change) that the following procedures are likely to have on bias and sampling error in an experimental study. Assigning treatments to subjects alphabetically Increase sample size Calculating power Applying every treatment to every experimental unit in random order Using a sample of convenience instead of a random sample Testing only one treatment group without a control Using a balanced design Informing the human participants of which treatment they will receive
Answer:
A) Bias: Increase
Sampling error: No change
B) Bias: No change
Sampling error: Increase
C) Bias: No change
Sampling error: No change
D) Bias: Increase
Sampling error: No change
E) Bias: Increase
Sampling error: No change
F) Bias: Increase
Sampling error: No change
G) Bias: No change
Sampling error: Decrease
H) Bias: Increase
Sampling error: No change
Step-by-step explanation:
A) Assigning treatments to subjects alphabetically: In this method, treatments are not assigned randomly but alphabetically and thus, it leads to an increase in bias because it's possible that one letter may be favoured over the other. Whereas, sampling error will not change because there's no effect on the sample size.
Thus;
Bias: Increase
Sampling error: No change
B) Increase sample size: In this method, it's only the probability of sampling error that will be increased because the more the sample, the higher the room for error.
Thus;
Bias: No change
Sampling error: Increase.
C) Power is the probability of rejecting the null hypothesis when the alternative hypothesis is true.
Now, this has no effect on the bias or sampling error.
Bias: No change
Sampling error: No change
D) Applying every treatment to every experimental unit in random order: In this there is possibility of an increase in bias because it's possible that some units may or may not have as much treatment as others. But it doesn't affect sampling. Thus;
Bias: Increase
Sampling error: No change
E) Using a sample of convenience instead of a random sample: In this method, there is a high risk of an increase in bias because the sample was selected conveniently instead of randomly. Thus;
Bias: Increase
Sampling error: No change
F) Testing only one treatment group, without a control group; In this method, since there is no control group, there is high probability of an increase in bias but it doesn't affect sampling error.
Thus;
Bias: Increase
Sampling error: No change
G) Using a balanced design; In this method, it means we will not have any bias as the result will be very fair, however it means there would be less of sampling error due to the fair nature of the design. Thus;
Bias: No change
Sampling error: Decrease
H) Informing the human participants of which treatment they will receive; In this method, since the human participants are informed of which treatment they would receive they could alter their responses which would lead to an increase in the bias. Whereas, it would have ko effect on the sampling error. Thus;
Bias: Increase
Sampling error: No change
Suppose you invest $9270 at an annual interest rate of 5.3% compounded continuously.
How much will you have in the account after 34 years?
Answer:
$54659.21
Step-by-step explanation:
By using the formula of 9270 * (1.053)^34 I can find the annual compound interest.. I reccomend using a calculator.
In a survey of randomly selected 3,900 family-owned businesses with revenues exceeding $1 million a year, it was found that 1,911 of them had no strategic business plan. a) Use a 90% confidence interval to estimate the proportion of family-owned businesses without strategic business plans. Give an interpretation of this interval. (5 Points) b) Would a 99% confidence interval be wider or narrower than the one you calculated in part (a)
Answer:
a) The 90% confidence interval to estimate the proportion of family-owned businesses without strategic business plans is (0.4768, 0.5032). This means that we are 90% sure that the true proportion of all family-owned businesses without strategic business plans is between these two values.
b) Wider
Step-by-step explanation:
Question a:
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the z-score that has a p-value of [tex]1 - \frac{\alpha}{2}[/tex].
In a survey of randomly selected 3,900 family-owned businesses with revenues exceeding $1 million a year, it was found that 1,911 of them had no strategic business plan.
This means that [tex]n = 3900, \pi = \frac{1911}{3900} = 0.49[/tex]
90% confidence level
So [tex]\alpha = 0.1[/tex], z is the value of Z that has a p-value of [tex]1 - \frac{0.1}{2} = 0.95[/tex], so [tex]Z = 1.645[/tex].
The lower limit of this interval is:
[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.49 - 1.645\sqrt{\frac{0.49*0.51}{3900}} = 0.4768[/tex]
The upper limit of this interval is:
[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.49 + 1.645\sqrt{\frac{0.49*0.51}{3900}} = 0.5032[/tex]
The 90% confidence interval to estimate the proportion of family-owned businesses without strategic business plans is (0.4768, 0.5032). This means that we are 90% sure that the true proportion of all family-owned businesses without strategic business plans is between these two values.
Question b:
The margin of error is:
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
The higher the confidence level, the higher the value of z, thus the higher the margin of error and the interval is wider. Thus, a 99% confidence interval is wider than a 90% confidence interval.
WILL GIVE BRAINLIEST!!!!
Plot the image of quadrilateral ABCD under a reflection across line L.
Answer:
See image
Step-by-step explanation:
I clicked submit and it was right
Also dude I remember doing this and struggling before
if 2 X + 1 ,2 x-1 and 3 X + 4 are in AP find the value of x
Answer:
x = - 7
Step-by-step explanation:
Given that the terms are in AP , then
a₃ - a₂ = a₂ - a₁ , substitute values
3x + 4 - (2x - 1) = 2x - 1 - (2x + 1) ← distribute and simplify both sides
3x + 4 - 2x + 1 = 2x - 1 - 2x - 1
x + 5 = - 2 ( subtract 5 from both sides )
x = - 7