Answer: $409.55
Step-by-step explanation:
100% - 16% = 84%
84% of 487.56 = 409.5504.
Round to nearest hundredth.
$409.55
Sybil can put a total mass of 950 g in her bag. she buys a book that weighs 450 g and a notebook that weighs 210 g. write an equation to represent how much more mass, m, her bag can hold. then, solve for the answer and include an explanation of how you solved the equation
Answer:
M =290
Step-by-step explanation:
Subtraction of numbers
List the first 4 terms of a geometric sequence with the first term of 2 and a common ratio of 5.
Answer:
2, 10, 50, 250
Step-by-step explanation:
For geometric sequences, multiply the previous term by the common ratio.
Using the formula for geometric sequences [tex]a_{n} =ar^{n-1}[/tex] , with [tex]a_{n}[/tex] being the nth term (so n=4 for the fourth term), a being the first term, and r being the common ratio.
Our starting term is 2. So that is automatically the first term of the four.
Second term:
[tex]a_{2} =2*5^{2-1}=2*5^1=2*5=10[/tex]
Third term:
[tex]a_{3} =2*5^{3-1}=2*5^2=2*25=50[/tex]
Fourth term:
[tex]a_{4} =2*5^{4-1}=2*5^3=2*5*5*5=10*25=250[/tex]
Which pair of angles shares ray A and F as a common side?
The pair of angles that share a ray as a common side in the given diagram is: ∠FAB and ∠FAD.
What are Adjacent Angles?Adjacent angles are angles that lie adjacent or next to each other sharing a common vertex and have the same ray as a common side.
In the diagram attached below, ∠FAB and ∠FAD share a common vertex, A, and a ray FA as a common side.
Therefore, the pair of angles is: ∠FAB and ∠FAD.
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A restaurant is analyzing its customer satisfaction level. the manager performs an observational study of customers during the lunch hour on a monday and draws the conclusion that most of the customers are satisfied with the service they receive. the conclusion drawn from the study is because the sample is . in this instance, an study was conducted.
The conclusion drawn is not valid. This is as a result of the fact that the sample is inappropriate.
How to determine the conclusion of a study?
We are told that a restaurant is analyzing its customer satisfaction level. Now, the conclusion drawn was that most of the customers are satisfied with the service they receive.
Now, we can say that the conclusion drawn is not valid. This is as a result of the fact that the sample is inappropriate as it does not deal with the actual response from the customers but only observational.
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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
Answer:
C and H
Explanation:
All others are not the same shape, they tend to be pointing in different directions.
Answer:
a c h g f
Step-by-step explanation:
Alex got 27 questions out of 30 correct. what present of the questions did he get correct?(use fish method)
if we take 30 to be the 100%, what is 27 off of it in percentage?
[tex]\begin{array}{ccll} amount&\%\\ \cline{1-2} 30 & 100\\ 27& x \end{array} \implies \cfrac{30}{27}=\cfrac{100}{x} \\\\\\ \cfrac{10}{9}=\cfrac{100}{x}\implies 10x=900\implies x=\cfrac{900}{10}\implies x=90[/tex]
If f(x)=2 sin 3x+C, then the maximum value of f(x) is:
1)C
2) C+2
3) C+3
4) C+6
Reason:
The largest sin(x) can get is 1, and the same goes for sin(3x).
Consequently, the largest 2sin(3x) can get is 2.
You can visually verify these claims by graphing each function with a tool like Desmos. Take note of the y coordinate of the highest points. See below.
Therefore, the largest f(x) = 2sin(3x)+C can get is 2+C or C+2
In a mathematic test 30 students obtained the following scores
3,4,7,2,9,5,2,1,8,2,3,6,9,3,4,3,4,1,5,3,3,1,7,7,7,5,6,4,6,5
a) Prepare a frequency table for the data
b) Draw a pictogram
c) Construct a barchart
Answer:
a) Prepare a frequency table for the data
Step-by-step explanation:
please answer!!
Use the parabola tool to graph the quadratic function.
f(x)=3x^2+6x−24
Graph the parabola by first plotting its vertex and then plotting a second point on the parabola.
Answer:
See below
Step-by-step explanation:
[tex]f(x)=3x^2+6x-24\\\\f(x)=3(x^2+2x-8)\\\\f(x)+3(9)=3(x^2+2x-8+9)\\\\f(x)+27=3(x^2+2x+1)\\\\f(x)=3(x+1)^2-27[/tex]
Here, we can see that the vertex of the parabola is [tex](-1,-27)[/tex] when we compare to the equation [tex]y=(x-h)^2+k[/tex] with vertex [tex](h,k)[/tex].
A second point you could plot is the y-intercept, when [tex]x=0[/tex]:
[tex]f(0)=3(0+1)^2-27\\\\f(0)=3-27\\\\f(0)=-24[/tex]
So, your y-intercept is [tex](0,-24)[/tex].
Find the angle of CD. Round to the nearest tenth. 12.7 cm 45.5° 9/06 cm mCD= [?]°
Using the information in the diagram, the measure of [tex]\overset{\LARGE\frown}{CD}[/tex] is 89.0°
Calculating the angle subtended by an arcFrom the question, we are to determine the measure of [tex]\overset{\LARGE\frown}{CD}[/tex]
Consider the right triangle
The measure of [tex]\overset{\LARGE\frown}{CD}[/tex] is twice the measure of the unknown angle
Let the unknown angle in the right triangle be x
∴ The measure of [tex]\overset{\LARGE\frown}{CD}[/tex] = 2x
Then,
x + 90° + 45.5° = 180° (Sum of angles in a triangle)
x = 180° - 90° - 45.5°
x = 44.5°
Thus,
The measure of [tex]\overset{\LARGE\frown}{CD}[/tex] = 2×44.5°
The measure of [tex]\overset{\LARGE\frown}{CD}[/tex] = 89°
Hence, the measure of [tex]\overset{\LARGE\frown}{CD}[/tex] is 89.0°
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Which of the following best describes the histogram?
The histogram is evenly distributed.
The histogram is symmetrical.
The left side of the histogram has a cluster.
The left side of the histogram is the mirror image of the right side.
histor Grammer
Step-by-step explanation:
lol bhsg HD tcvh by by by g
Geometry, Angles questions
Answer:
X= 82⁰
z= 82⁰
Step-by-step explanation:
for X:
we can use co-interior angles sum up to make 180 so,
x+ 98= 180
x= 180-90= 82⁰
for z, we can use either angles on a straight line or corresponding angles
using angles on a straight line,98 + z= 180
z= 180-98= 82⁰
using corresponding anglescorresponding angles are always equal and can be found in the F shape diagram when lines are parallel
therefore X and z are corresponding angles and since we found x= 82⁰ then z= 82⁰
The mean percent of childhood asthma prevalence in 43 cities is 2.25%. A random sample of 31 of these cities is selected. What is the probability that the mean childhood asthma prevalence for the sample is greater than 2.7%? Interpret this probability. Assume that σ= 1.27%.
The probability is
(Round to four decimal place)
The Probability that the mean childhood asthma prevalence for the sample is greater than 2.7% is 0.0357.
What is Probability ?Probability refers to a possibility that deals with the occurrence of random events.
The probability of all the events occurring need to be 1.
For a Normal Distribution, the z-score formula
[tex]z = \dfrac{X-\mu}{\sigma}[/tex]
Here X is the mean and sigma is the standard deviation.
Mean of 2.25% = 2.25
The standard deviation of 1.27%, sigma = 1.27
For Sample 31 the value of the standard deviation is
s = 1.27/√31
s = 0.2442
Substituting the values
Z = ( 2.25 -1.27)/0.2442
Z = 1.8
the p-value from the graph of z and p = 0.9643
To determine value of probability greater than X is 1 - 0.9643 = 0.0357
The Probability that the mean childhood asthma prevalence for the sample is greater than 2.7% is 0.0357.
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the ratio of new airplanes to old air planes in a fleet of 720 planes of which 240 are old airplanes
Answer:2
Step-by-step explanation:(720-240)/(240)
Guys help me with a) and b) tasks
ANSWER:
a) 40
b) 25
Thanks<3
Step-by-step explanation:
there are 2 similar triangles : ABE and DCE
that means they have the same angles, and the scaling factor from one triangle to the other is the same for every side.
and that means that
DE/AE = EC/BE (= DC/AB)
we know that
AE = AD + DE
BE = BC + EC
a.
so, we have actually
DE/(AD+DE) = EC/(BC+EC)
DE/(10+DE) = 8/(2+8) = 8/10 = 4/5
DE = 4(10+DE)/5
5DE = 4(10+DE) = 40 + 4DE
DE = 40 cm
b.
AD/DE = 3/5
BC/EC must be 3/5 too.
15/EC = 3/5
15 = 3EC/5
75 = 3EC
EC = 25 cm
This Week's High Temperatures (°F)
29, 38, 45, 31, 50, 58, 62
Last Week's High Temperatures (°F)
44, 31, 66, 32, 26, 58, 78
Which measures of center and variability for the
temperatures were lower this week than last week?
Check all that apply.
mean
median
mode
range
mean absolute deviation
Done
The measures of center and variability for the
temperatures that were lower this week than last week include mean, range, mean absolute deviation.
What is a mean?It should be noted that a mean simply means the average set if numbers given.
Also, the range is the difference between the highest number and the lowest number in the data.
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Answer:
mean,range,mean absolute deviation
Step-by-step explanation:
just took it on edge
What is the value of x?
Enter your answer in the box.
Answer:
25
Step-by-step explanation:
c^2=a^2+b^2
where c = hypotenuse
so, x^2 = 24^2+7^2
x^2 = 576 + 49
x^2 = 625
x = square root of 625
x = 25
If the measure of angle 4 is 132°, what is the measure of angle 7?
32°
48°
132°
148°
The sum of supplementary angles is 180 degrees. The measure of angle 7 is 48 degrees
Supplementary anglesThe sum of supplementary angles is 180 degrees.
Let the supplement of the angle be "x", so that;
x + 132 = 180
Subtract 132 from both sides
x + 132 - 132 = 180 - 132
x =. 180 - 132
x = 48 degrees
Hence the measure of angle 7 is 48 degrees
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An elevator began in the 9th floor. It went down 7 floors. Then, it went up 4 floors. On which floor did it stop?
Answer: Hope this helps you!
6th floor
Step-by-step explanation:
If it starts on the 9th floor and goes down 7 floors that is:
9 (9 floors) + -7 (down 7 floors)
which is also equal to 9-7
9-7 = 2
Next, we need to go up by 4 floors starting with 2, 2+4
2+4 = 6
Brainliest?
somebody please help me
Answer:
66°
Step-by-step explanation:
The angle sum theorem tells you the sum of angles in a triangle is 180°.
__
79° +x +35° = 180°
x = 180° -114° . . . . . . . . subtract 114° from both sides
x = 66° . . . . . simplify
Using the information in the diagram, what is the height of the tree to the nearest foot?
45 ft
54 ft
60 ft
135 ft
Answer:
60 ft
Step-by-step explanation:
a = 90
b = 108ft
the base angle can be found by using sin(x) = 120/108x2
=> x = 33.7 degrees
To find height, use tan(33.7) = Opp/ Adjacent = x / 90
=> x = 60.02 or 60 ft
represent , the set of numbers between 10 to 50 when they are divided by 5 then the remainder is 2 by description method listing method and set builder method
The numbers between 10 and 50 when they are divided by 5 then the remainder is 2 is shown in the form of description method and in set-builder form is {12, 17, 22, 27, 32, 37, 42, 47}.
What is set?A set is a collection of clearly - defined unique items. The term "well-defined" applies to a property that makes it simple to establish whether an entity actually belongs to a set. The term 'unique' denotes that all the objects in a set must be different.
We have:
The set of numbers between 10 and 50 when they are divided by 5 then the remainder is 2
The numbers are:
12, 17, 22, 27, 32, 37, 42, 47
By description method:
1 2 3 4 5 6 7 8
12 17 22 27 32 37 42 47
By set builder form:
s = {12, 17, 22, 27, 32, 37, 42, 47}
Thus, the numbers between 10 and 50 when they are divided by 5 then the remainder is 2 is shown in the form of description method and in set-builder form is {12, 17, 22, 27, 32, 37, 42, 47}.
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You have just invested 1,500 into a stock compounded yearly at a rate of 9%. How much money will be in your account in 60 days? (Please explain)
Answer:
1522.584
Step-by-step explanation:
1500(1+.09/12)^2=1522.584
There is a bag filled with 6 blue and 5 red marbles.
A marble is taken at random from the bag, the colour is noted and then it is replaced.
Another marble is taken at random.
What is the probability of getting at least 1 blue?
Answer:
What you need to remember for answering this question is that the probability of any event is the number of sample points in the event divided by the number of sample points in the sample space.
If you have multiple trials and if the sampling is with replacement then, no matter how many samples are drawn, the probabilities remain the same for each trial.
n triangle ABC (see sketch), AD is the angle bisector of the angle A and BH is the height from side AC. The obtuse angle between BH and AD is four times the side of DAB. How big is the angle CAB?
A. 30 B.45 C.60 D.75 E.90
Answer: C
Step-by-step explanation:
We know that [tex]\angle AHB=90^{\circ}[/tex], and thus by the exterior angle theorem,
[tex]90^{\circ}+\alpha=4\alpha\\\\90=3\alpha\\\\\alpha=30^{\circ}[/tex]
Thus, [tex]\angle CAB=2\theta=\boxed{60^{\circ}}[/tex]
Select the expression that’s is equivalent to (x-1)^2
Answer:
(x-1)^2
=x^2 - 2x + 1
Step-by-step explanation:
hope this helps
Select the correct answer from each drop-down menu. two six-sided fair dice are rolled simultaneously. the probability that the sum of the two numbers rolled is greater than 3, given that the sum of the numbers is not greater than 5, is . the probability that one of the numbers is a 6 and the sum of the two numbers is an odd number is .
Two six-sided fair dice are rolled simultaneously.... 6 and the sum of the two numbers is an odd number is mathematically given as
x=7/10
What is the sum of the two numbers?Generally, the equation for Number is mathematically given as
[tex]x=P\frac{E > 3}{Enot > 5}\\\\Therefore\\\\x=P\frac{E > 3}{E\leq5}\\\\x=P\frac{4\leq E \leq5}{E\leq5}\\\\x=P\frac{7/36}{10/36}[/tex]
x=7/10
In conclusion, the sum of the two numbers
x=7/10
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math hw please answer quickly i dont understand
Answer:
See explanation
Step-by-step explanation:
Since she used only 1/2 of the recipe and the full recipe uses 1 cup, divide 1 by 2. The equation is 1/2=0.5.
For the lemon juice, the equation is 1/4 divided by 2. On the number line, make a dot at 1/4, and then travel backwards halfway. 1/4 divided by 2 is 1/8, or 0.125.
Hope this helps!
Which of the following is most likely the next step in the series?
Answer:
C
Step-by-step explanation:
Option C is correct, the polygon in c option is the next step in the series
What is Polygon?A polygon is a plane figure made up of line segments connected to form a closed polygonal chain.
In the first step we can see a triangle
The triangle has three sides
In the second step there is a rectangle which has four sides
The third step has pentagon which has five sides
So in next step the polygon should have six sides
Hexagon is the next step in the series
Hence, option C is correct, the polygon in c option is the next step in the series
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the diagram is not drawn to scale!!
pls
Answer:
135°
Step-by-step explanation:
That triangle in the corner is an right angle isosceles triangle as that line the midpoint of both sides :
the base angle of this triangle (x) will be :
180 = 90 + 2x
90 = 2x
x= 45
Angles on a straight line add up to 180. So to work out a :
180 = 45 + a
135 = a
Hope this helped and brainliest please