Answer:
(f -g)(2) = 14
Step-by-step explanation:
You can write the expression for the composite function as ...
(f -g)(x) = f(x) -g(x) = (3x² +1) -(1 -x)
(f -g)(x) = 3x² +x
Then for x = 2 ...
(f -g)(2) = 3(2²) +2
(f -g)(2) = 14
nine thousand and ninety
Answer:
I don't really know what your asking but you write nine thousand and ninety like 9090.
Step-by-step explanation:
Hope this helped :)??
An online store sells two types of speaker docks for smartphones. The higher-priced speaker dock sells for $160 and the lower-priced speaker dock sells for $80. Last week the store sold four times as many lower-priced speaker docks as higher-priced speaker docks. Combined sales totaled $2,880. How many lower-priced speaker docks did it sell?
Answer: its yuo have to add 160+80=
Step-by-step explanation:
find the distance between the points (3,4) and (-8,4)
Answer:
Distance = 11
Step-by-step explanation:√(-11)^2+0^2
√(121+0)
√(121)=11
Answer:
11
Step-by-step explanation:
Please help asap 50 points
Answer:
Work it out yourself by following through the guidance
Step-by-step explanation:
Now the general equation of a moving object in a translational motion is given by;
S = ut + 1/2 at^2;
Where S- distance
a- acceleration
u- initial velocity
t- time
S = distance and in this case it would be Height 'H'
a= acceleration and in this case it will be 'g' acceleration due to gravity because the rocket would be under the influence of gravity.
When you substitute that you should be able to derive the expression for that of the quadratic equation.
And with the equation when you take values of x and substitute them in the expression above you get the values of h and you can then plot this point to form the graph.
Answer:
Step-by-s
S = ut + 1/2 at^2;
Where S- distance
a- acceleration
u- initial velocity
t- timetep explanation:
Una persona observa en un ángulo de 54° lo alto que es un edificio; si la persona mide 1,72 metros y está ubicada a 18 metros de la base del edificio.
a) cuál es la altura en metros del edificio
Answer:
[tex]h=26.49m[/tex]
Step-by-step explanation:
First, take a look at the picture I attached you. It is a drawing which represent the problem.
As you can see from the picture the building height [tex]h[/tex] would be the sum of the person's height plus the length of the side [tex]a[/tex] of the triangle:
[tex]h=1,72m+a[/tex]
There are many ways to solve this problem, however I believe that the easiest one is using tangent identity which states:
[tex]tan(\theta) =\frac{opposite}{adjacent}[/tex]
Hence:
[tex]tan(54)=\frac{a}{18}[/tex]
Solving for [tex]a[/tex]:
[tex]a=tan(54)*18=24.77487457\approx24.77m[/tex]
So the building height is:
[tex]h=1.72+24.77=26.49487457\approx26.49m[/tex]
Translation:
Primero, mira la imagen que te adjunté. Es un dibujo que representa el problema.
Como puede ver en la imagen, la altura [tex]h[/tex] del edificio sería la suma de la altura de la persona más la longitud del lado [tex]a[/tex] del triángulo:
[tex]h=1,72m+a[/tex]
Hay muchas maneras de resolver este problema, sin embargo, creo que la más fácil es usar la identidad de la tangente que establece:
[tex]tan(\theta) =\frac{opuesto}{adyacente}[/tex]
Por lo tanto:
[tex]tan(54)=\frac{a}{18}[/tex]
Resolviendo para [tex]a[/tex]:
[tex]a=tan(54)*18=24.77487457\approx24.77m[/tex]
Entonces la altura del edificio es:
[tex]h=1.72+24.77=26.49487457\approx26.49m[/tex]
135 UB students were surveyed and asked how many hours a week they spent studying. The results are in the table below?
135 UB students were surveyed and asked how many hours a week they spent studying. The results are in the table below?
Less than 5hrs (5 to10hrs) (More than 10) Total
Male (M) 25 25 20 70
Fmale (F) 20 30 15 65
Total 45 55 35 135
a) Complete the joint and marginal probability.
b) Find the probability that a student studied 5 to 10 hours.
c) Find the probability that a student is a male and spends less than 5 hours studying.
d) Find the probability that a student is a female or spends more than 10 hours studying.
e) Find the probability that a student spends more than 10 hours studying given that the student is a female?
f) Find the probability that a student is a male given that he spends less than 5 hours studyin
Answer:
B) 11/27 ; c.) 5/27; D.) 17/27; E.) 3/13 ; F) 5/9
Step-by-step explanation:
- - - - - <5hrs - - (5 - 10hrs) - - (>10 hrs) - - Total
Male (M) 25 - - - - -- 25 - - - - - 20 - - - - 70
Female (F) 20 - - - - - - 30 - - - - - 15 - - - - 65
Total - - - 45 - - - - - - 55 - - - - - 35 - - - - 135
Probability = (required outcome / Total possible outcomes)
B) probability that a student studied(5 - 10 hours)
P(5 to 10 hours) = n(5 - 10 hours) / n(total) = 55/135 = 11/27
C) Find the probability that a student is a male and spends less than 5 hours studying
P(male and < 5 hours) = n(male ∩> 5 hours) / n(total) = 25/135 = 5/27
D) Find the probability that a student is a female or spends more than 10 hours studying.
P(female) + P(> 10hours) - P(Female ∩ > 10 hours) = 65/135 + 35/135 - 15/135 = 85/135 = 17/27
E.) Find the probability that a student spends more than 10 hours studying given that the student is a female?
n(Female ∩ > 10 hours) / n(Female)
15/65 = 3/13
F) Find the probability that a student is a male given that he spends less than 5 hours studying
n(male ∩ < 5hrs) / n(< 5 hours) = 25/ 45 = 5/9
Please answer number two I will give brainliest thank you!
Answer:
42
Step-by-step explanation:
arrange the numbers either in ascending or descending order and find the one right in the middle
Jenny runs a daycare center and charges $60 per day for each child. There are currently 50 children enrolled at the daycare. At a recent conference, Jenny was advised to lower her rates in order to stay competitive in her area. For each price decrease of $4 per day, the number of children enrolled at the center increases by two.
Answer:
(60 - 4x)(50 + 2x) = 2,800
Step-by-step explanation:
Hints- A net is folded at shared edges. Visualize the folding of each shared edge to meet an opposite edge. PLEASEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEDEEEEEEEEEEE answer ASAP! I don’t have much time.
Answer:
The net folds into a cube
Step-by-step explanation:
* The net folds into a cube *
How can we guess? Well here all the surfaces of this 3-dimensional figure are squares, provided the dimensions of each surface are congruent, all being 2 inches. In addition, if we were to fold each of these squares on the net on the appropriate lines, we could imagine it to be a cube, perfectly fit to be as well!
PLEASE ANSWER ASAP! WILL GIVE BRAINLIEST+12 POINTS!
Rewrite the expression in the form a^n
(a^5)^2
Answer:
a¹⁰
Step-by-step explanation:
[tex](x^{m} )^{n} =x^{mn}[/tex]
So here we have (a⁵)², meaning we need to multiply the exponents to get a¹⁰
Is a quadrilateral a square? (True or False)
PLEASE HELP QUICKLY!
Answer:
True
Step-by-step explanation:
I need more help (: sorry
Answer:
Converse: If I passed, then I studied.
Inverse: If I don't study, then I will not pass
Contrapositive: If I didn't pass, then I didn't study.
Step-by-step explanation:
Dayle and his two brothers each eat 5/12 of a chocolate bar. How much
chocolate bar did they eat altogether? Solve and explain your work *
Answer:
Shown from explanation below.
Step-by-step explanation:
If they both eat 5/12 each, it means they would both eat;
5/12 + 5/12 = (5 + 5)/12 = 10/12 = 5/6 of a bar.
Answer:
5/12 per brother x 3/1 brothers = 15/12 chocolate bars ate so the brothers ate 15/12 chocolate bar because each brother ate 5/12 and there are 3 brothers so we multiply
15/12 = 1 1/4 = 5/4
Step-by-step explanation:
Question 5 (20 points)
A six-sided number cube is rolled twice.
What is the probability that the first roll is an even number and the second roll is a number greater than 4?
5
6
2
3
Ос
1
6
1
3
Saved at 1:47 pm
Review Answers
Answer:
2 the probability would be2/5 because of the two dice
Answer:
6
Step-by-step explanation:
6/12 simpify 1/2
A curve has the equation y=(k+x/2)In 2x
The normal to the curve at B(0.5, 0) is parallel to the line 29 y = 6x +5.
Find the value of k.
Answer:
the answer is 92
Step-by-step explanation:
I will ark the brinlest to the first person who answers.
A student submitted a drawing of their playroom with a scale of 2 inches = 5 feet. On the drawing, the playroom was 6.5 inches wide and 9.25 inches long. What is the ACTUAL AREA of the playroom? (round to the nearest tenth; show your work in numbers)
Answer:
area = 375.8 ft^2
Step-by-step explanation:
The scale is 2 inches = 5 feet.
The room is 6.5 inches wide in the drawing. We need the real width, x.
2 in./5 ft = 6.5 in./x
2x = 5 * 6.5
2x = 32.5
x = 16.25
The real width is 16.25 ft.
The room is 9.25 inches wide in the drawing. We need the real length, y.
2 in./5 ft = 9.25 in./y
2y = 5 * 9.25
2x = 46.25
x = 23.125
The real length is 23.125 ft.
Area of rectangle = length * width
area = 23.125 ft * 16.25 ft
area = 375.78125 ft^2
area = 375.8 ft^2
Is the decimal expansion of this fraction repeating or terminating?
23/0
Answer:
Terminatng
Step-by-step explanation:
if you divide any number by 0 . the quotient would be 0 .
Answer:
neither
Step-by-step explanation:
The value of 23/0 is "undefined." It has no decimal expansion.
work out the size of this angle x
Answer:
x = 60 deg (alternate interior angle)
Hope this helps!
:)
Answer:
60
Step-by-step explanation:
Captain Ishaan has a ship, the H.M.S Crimson Lynx. The ship is four furlongs from the dread pirate Michael and his merciless band of thieves. If his ship hasn't already been hit, Captain Ishaan has probability 2/5 of hitting the pirate ship. If his ship has been hit, Captain Ishaan will always miss. If his ship hasn't already been hit, dread pirate Michael has probability 3/8 of hitting the Captain's ship. If his ship has been hit, dread pirate Michael will always miss. If the Captain and the pirate each shoot once, and the Captain shoots first, what is the probability that both the Captain and the pirate hit each other's ships?
Answer: 2/5 x 0= 0
Step-by-step explanation:
alguien puede ayudarme
Calcula en cuánto se transforman C$ 1,000.00 en un año al 7% anual si los periodos de capitalización son semestrales.
Answer:
8
Step-by-step explanation:
simplemente encuentre el total de los 8 pagos. Hay 8 pagos ya que habrá 8 retiros totales: (2 años) × (cuatro retiros por año) = 8 retiros.
What is 2 log (5x) +1/3 log (x2+6
Answer:
Step-by-step explanation:
(5x)² + ∛(x²+6)
Answer:
Log 5x^2 ( x^2 + 6) ^(1/3)
Step-by-step explanation:
Explanation shown in the attachment; this could have been further simplified using binomial expansion
What is the spread of the data in the dot plot? Number of Apples in Each Bag A dot plot going from 10 to 15. 10 has 2 dots, 11 has 0 dots, 12 has 4 dots, 13 has 3 dots, 14 has 5 dots, and 15 has 6 dots. from 0 to 5 from 10 to 15 from 12 to 15 from 0 to 6
Answer:
10 to 15 (B)
Step-by-step explanation:
Find attached the diagram of the dot plot.
A measure of spread is used to describe the variation in a sample or data set. It is sometimes referred to as a measure of dispersion.
It is usually used together with the mean or median, to provide an overall description of a set of data.
There are two measures of spread: range and standard deviation. Range is the simplest in terms of calculation.
In this question, the range is used to determine the spread of the data set.
From the dot plot,
The range = the highest value - lowest value in a data set.
The highest value = 15
The lowest value = 10
Therefore the spread of the data in the dot plot is from 10 to 15 (B)
Answer:
B: from 10 to 15
Step-by-step explanation:
edg2020
Example 3
Question:
The perimeter of a rectangular swimming pool is 150 feet. The length is 15 feet more than the width. Find the length and width.
THE WIDTH=67.5 feet & LENGTH=67.5+15=82.5 feet
What is perimeter of a rectangle?Perimeter of a rectangle (A) is the 2× sum of of its length (l) and width (w).
A=2(l+ w)
Here, given that,
Perimeter=150 feet
Let, width be x
then, length be x +15
ATQ
x+x+15=150
2x+15=150
2x=150-15
2x=135
x=135/2
x=67.5 feet
Then:
WIDTH=67.5 feet
LENGTH=67.5+15
=82.5 feet
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A 13 ft ladder is resting on a wall. The angle the ladder makes with the floor is 45 degrees. How high off the ground is the top of the ladder?
Use the function y=13cos(theta) to find the answer
Answer:
height = 9.19 ft
Step-by-step explanation:
The ladder is resting on a wall. The angle the ladder makes with the floor is 45°. The ladder is 13 ft. The illustration forms a right angle triangle.
The hypotenuse side of the right angle triangle is 13 ft . The opposite side of the right angle triangle is the unknown which is the height off the ground the top of the ladder. Therefore,
Using ratio
sin ∅ = opposite/hypotenuse
sin ∅ = opp/13
sin 45° = opp/13
cross multiply
13 sin 45 = opp
opp = 13 × 0.70710678118
opp = 9.19238815543
height = 9.19 ft
OrYou can use the following base on your equation(y = 13 cos ∅)
The other angle will definitely be 45° since total angle in a triangle is 180°. 180 - 90 - 45 = 45°.
The adjacent side of the triangle will be the unknown side if we use cosine ratio.
cos ∅ = adjacent/hypotenuse
cos 45° = adjacent/13
cross multiply
From your equation you represented adjacent as y therefore,
y = 13 cos 45°
y = 13 × 0.70710678118
y = 9.19238815543
y = 9.19 ft (which is the required height)
“The story began badly,” said the smaller of the small girls, “but it had a beautiful ending.”
“It is the most beautiful story that I ever heard,” said the bigger of the small girls, with immense decision.
“It is the only beautiful story I have ever heard,” said Cyril.
A dissentient opinion came from the aunt.
“A most improper story to tell to young children! You have undermined the effect of years of careful teaching.”
“At any rate,” said the bachelor, collecting his belongings preparatory to leaving the carriage, “I kept them quiet for ten minutes, which was more than you were able to do.”
“Unhappy woman!” he observed to himself as he walked down the platform of Templecombe station; “for the next six months or so those children will assail her in public with demands for an improper story!”
–“The Storyteller,”
Saki
How does the character of the bachelor add to the satire of "The Storyteller”?
His character provides humor in the story by revealing human weaknesses.
His character is greatly exaggerated to make fun of single men such as himself.
He exposes the aunt’s flaws by telling an improper story that occupies the children.
He exposes the aunt’s hypocrisy and ineffectiveness by being mean to the children.
Answer:
Its C, and if your looking for a different answer, try the one above this one.
Step-by-step explanation:
Answer:
C.
Step-by-step explanation:
A bottling plant fills one-gallon jugs with milk. The labels on the jugs state that the volume of milk they contain is 128 fluid ounces (fl. oz.). Federal law mandates that the jugs must contain no less than the stated volume. The actual volume of milk in the jugs is normally distributed with mean μ=129 fl. oz. and standard deviation σ=0.8 fl. oz. Plant workers take a simple random sample (SRS) of 8 jugs, measure the volume of milk in each jug, and calculate the sample mean.
Use this information to answer questions1. What is the shape of the distribution of sample means?A. Skewed rightB. NormalC. Skewed left2. Calculate the mean of the distribution of sample means. Round your answer to the nearest whole number. 3. Calculate the standard deviation of the distribution of sample means. Round to three decimal places4. If plant workers sampled 100 jugs instead of 8, which one of the following changes in the distribution of means would they see?A. The mean would decrease.B. The standard deviation would increase.C. The standard deviation would decrease.D. The sample means would be uniformly distributed.
Answer:
(1) The correct option is (B).
(2) The mean of the distribution of sample means is 19 fl. oz.
(3) The standard deviation of the distribution of sample means is 0.283 fl. oz.
(4) The correct option is (C).
Step-by-step explanation:
According to the Central Limit Theorem if we have a normal population with mean μ and standard deviation σ and a number of random samples are selected from the population with replacement, then the distribution of the sample mean will be approximately normally distributed.
The mean of the sampling distribution of sample mean will be:
[tex]\mu_{\bar x}=\mu[/tex]
And the standard deviation of the sampling distribution of sample mean will be:
[tex]\sigma_{\bar x}=\frac{\sigma}{\sqrt{n}}[/tex]
The information provided is:
μ = 129
σ = 0.80
n = 8
(1)
The shape of the sampling distribution of sample mean will be Normal.
This is because the population from which the sample is selected is normal.
The correct option is (B).
(2)
Compute the mean of the distribution of sample means as follows:
[tex]\mu_{\bar x}=\mu[/tex]
[tex]=129[/tex]
Thus, the mean of the distribution of sample means is 19 fl. oz.
(3)
Compute the standard deviation of the distribution of sample means as follows:
[tex]\sigma_{\bar x}=\frac{\sigma}{\sqrt{n}}[/tex]
[tex]=\frac{0.80}{\sqrt{8}}\\\\=0.282843\\\\\approx 0.283[/tex]
Thus, the standard deviation of the distribution of sample means is 0.283 fl. oz.
(4)
Any change in the sample size will have no effect on the mean of the distribution of sample means.
But, if the sample is increased or decreased than the standard deviation will be decreased or increased respectively.
This is because the standard deviation of the distribution of sample means is inversely proportional to the sample size.
So, for n = 100 the standard deviation is:
[tex]\sigma_{\bar x}=\frac{\sigma}{\sqrt{n}}[/tex]
[tex]=\frac{0.80}{\sqrt{10}}\\\\=0.282843\\\\\approx 0.08[/tex]
Thus, the standard deviation was decreased.
The correct option is (C).
Using the Central Limit Theorem, it is found that:
1. B. Normal.
2. The mean is of 129 fl. oz.
3. The standard deviation is of 0.283.
4. C. The standard deviation would decrease.
Central Limit TheoremThe Central Limit Theorem establishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n is approximately normal with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].For a skewed variable, the sampling distribution is also approximately normal, as long as n is at least 30.Item a:
The underlying distribution is normal, hence the distribution is normal and option B is correct.Item b:
The mean of the population is of 129 fl. oz, hence it is the same for the distribution of sample means.Item c:
The population standard deviation is of [tex]\sigma = 0.8[/tex].A sample of size 8 is taken, hence [tex]n = 8[/tex].Then:
[tex]s = \frac{0.8}{\sqrt{8}} = 0.283[/tex]
Item d:
The standard deviation is inversely proportional to the square root of the sample size, hence it would decrease, and option C is correct.
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Given the functions f(x) = x(x-2) and g(x) = 2x + 4, which is the corresponding table?
Answer:
see below
Step-by-step explanation:
One of the ways you can tell is that g(x) is always even. Only one table has that.
g(x) = 2(x +2)
g(x) has a factor of 2 in every result, so cannot be odd for any integer x.
order the values from least to greatest
Step-by-step explanation:
64 2/3 = 16
4 square root 256 = 64
16 3/2 =64
3 square root - 64 = - 24
16 - 24 64 64
The shape of the Gateway Arch in St. Louis,
Missouri resembles a parabola with the
equation h - 0.00635x^2 +4.0005x -0.07875,
where h is the height in feet and z is the
distance from one base in feet,
What is the distance from one base of the arc
to the other? This answer to the nearest foot is equal to u.
Answer:
630 ft
Step-by-step explanation:
The equation of the parabola shaped arc is given as:
[tex]h =-0.00635x^2 +4.0005x -0.07875[/tex]
In a parabola, the line of symmetry divides the parabola into two equal parts.
Therefore, to find the distance from one base of the parabola to the other, we simply multiply the x-value at the line of symmetry by 2.
For a quadratic equation of the form [tex]y=ax^2+bx+c[/tex]:
Equation of symmetry: [tex]x=-\dfrac{b}{2a}[/tex]Therefore, distance from one base of the arc to the other
[tex]=-\dfrac{b}{2a} X 2\\\\=-\dfrac{b}{a}[/tex]
In our given equation:
[tex]a=-0.00635, b=4.0005\\$Therefore:Distance = $ -\dfrac{4.0005}{-0.00635}\\=630$ ft[/tex]
The distance from one base of the arc to the other is 630 ft.
In which diagram are angles 1 and 2 vertical angles?
2 lines intersect and form 4 angles. Labeled clockwise from the top: blank, 2, blank, 1.
3 lines extend from a point and form 2 angles, labeled 1 and 2. Both angles add up to 90 degrees.
A horizontal line has 2 lines extending from a midpoint forming 3 angles. Labeled from left to right: 1, 2, 3.
A horizontal line intersect with another line forming 4 angles. Labeled clockwise from top-left: 1, 2, blank, blank.
Answer:
Yes, the answer is A
Step-by-step explanation:
2 lines intersect and form 4 angles. Labeled clockwise from the top: blank, 2, blank, 1. Then the correct option is A.
What is an angle?The angle is the distance between the intersecting lines or surfaces. The angle is also expressed in degrees. The angle is 360 degrees for one complete spin.
Vertically opposite angle – When two lines intersect, then their opposite angles are equal.
2 lines intersect and form 4 angles. Labeled clockwise from the top: blank, 2, blank, 1.
Then the correct option is A.
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