Answer:
It is an Ap (Arithmetic Sequence)
d=4
a=7
n=112
Using the Formula
Sn= n/2[2a + (n-1)d]
Sn= 112/2 [2(7) + (112-1)(4)]
Sn= 56[14 + (111)(4)]
Sn= 56[14 + 444]
Sn= 56(458)
Sn= 25,648.
The cost c per person to participate in a guided camping tour depends on the number of n participating in the tour. This relationship can be described by the function c = – 4n + 60, where 0 < n < 12. What is the rate of change described by this function?
Answer:
-4
Step-by-step explanation:
Given the function :
c = – 4n + 60
Where, c = cost of participation ;
n = number of persons
The cost equation can be related to the slope intercept, equation ;
y = mx + b
Where, m = Slope or rate of change
b = intercept
Comparing the slope intercept equation to the cost equation ;
m = - 4 ; Hence, the rate of change of cost is - 4
150:600 simplified ratio
Answer:
It could be simplified as 1:4
Please mark brainliest!
Answer:
20%
I just know :3
Please help me solve the problem
Answer:
X = 44
Step-by-step explanation:
That square means that the angle is 90°, therefore you can subtract 46 from 90 to find x
90 - 46 = 44
Answer:
44
Step-by-step explanation:
That is a right angle so we just need to subtract 46 from 90, and 90-46 is 44. So 44 is the missing angle
Pls brainliest :D
The composite figure is made up of a cone and a half sphere. The radius of the half sphere is 6 cm. What is the volume of the composite figure? Use 3.14 for Pi. Round to the nearest hundredth.
A half sphere and cylinder. Both have a radius of 6 centimeters. The cone has a height of 12 centimeters.
Recall the formulas V = one-third B h and V = four-thirds pi r cubed
188.40 cubic centimeters
489.84 cubic centimeters
904.32 cubic centimeters
1,356.48 cubic centimeters
Given:
Radius of half sphere and cone = 6 cm
Height of cone = 12 cm
To find:
The volume of composite figure that is made up of a cone and a half sphere.
Solution:
Volume of half sphere is:
[tex]V_1=\dfrac{2}{3}\pi r^3[/tex]
Where r is the radius of the half sphere.
Putting [tex]\pi =3.14, r=6[/tex], we get
[tex]V_1=\dfrac{2}{3}(3.14)(6)^3[/tex]
[tex]V_1=\dfrac{6.28}{3}(216)[/tex]
[tex]V_1=452.16[/tex]
Volume of a cone is:
[tex]V_2=\pi r^2h[/tex]
Where r is the radius and h is the height of the cone.
Putting [tex]\pi =3.14, r=6, h=12[/tex], we get
[tex]V_2=(3.14)(6)^2(12)[/tex]
[tex]V_2=(3.14)(36)(12)[/tex]
[tex]V_2=1356.48[/tex]
Volume of the composite figure is:
[tex]V=V_1+V_2[/tex]
[tex]V=452.16+1356.48[/tex]
[tex]V=1808.64[/tex]
Therefore, the volume of a composite figure is 1808.64 cubic centimetres.
Note: All options are incorrect.
Answer: A
Step-by-step explanation:
Please help, I’ll mark as brainliest!! The picture is above :)
Answer:
Isolate the variable by dividing each side by factors that don't contain the variable
Exact Form:
x = - 25/8 [tex]\frac{x}{y}[/tex]
Decimal Form:
x = -3.125
Mixed Number Form:
x = - 3/1/8 [tex]\frac{x}{y}[/tex]
Step-by-step explanation:
Find the measure of the are or angle indicated. Assume that lines which appear tanget are tangents
Given:
In a circle, two chords AK and LJ intersect each other inside the circle at M.
Measure of arc AJ = 65 degrees.
Measure of arc KL = 85 degrees.
To find:
The measure of angle KML.
Solution:
Intersecting chords theorem: According to this theorem, if two chords intersect each other inside the circle then the measure of angle on the intersection is half of the sum of intercepted arcs.
Using Intersecting chords theorem, we get
[tex]m\angle KML =\dfrac{1}{2}(arcKL+arcAJ)[/tex]
[tex]m\angle KML =\dfrac{1}{2}(85^\circ +65^\circ )[/tex]
[tex]m\angle KML =\dfrac{1}{2}(150^\circ )[/tex]
[tex]m\angle KML =75^\circ[/tex]
Therefore, the measure of angle KML is 75 degrees.
3. Write the equation for the graph below.
(1.2)
(0,1)
Answer:
y=1x+1
Step-by-step explanation:
y=mx+b form
b is where the y-axis lands on the graph when x is zero
=(x,y) and (0,1)
m is the slope
A rugby team plays two matches. They win (W) draw (D) or lose (L) each match. List the possible outcomes
Answer:
They can W and W.
They can W and D.
They can D and D.
They can L and L.
They can L and D.
They can W and L.
Step-by-step explanation:
An airline that wants to assess customer satisfaction chooses a random sample of 10 of its flights during a single month and asks all of the passengers on those flights to fill out a survey. This is an example of a
Answer:
) Cluster sample.
Step-by-step explanation:
Here are the options
A) Multistage sample.
B) Stratified sample.
C) Cluster sample.
D) Simple random sample.
E) Convenience sample.
A cluster sample is when a population is divided into groups known as clusters. Samples are then randomly selected from this sample. It is a method of probability sampling used for large populations.
The airline first divided the population of travellers by months travelled. this is the cluster. From within the cluster, 10 samples are then chosen
Advantages of a cluster sample
it is faster it is less expensiveIt reduces variabilityDisadvantages of a cluster sample
it only works well when population can be divided into clustersIt is affected by sampling errorSomeone please help!!! It doesn’t make sense!! Find the value of 1/2 divided by 1/3. (A 1 and 1/2) (B 1 and 1/3) (C 1 and 2/3) that’s the options I have please help!!!
Answer:
A
Step-by-step explanation:
1/2 ÷ 1/3
Copy dot flip
1/2 × 3/1
1 × 3 / 2 × 1
3 / 2
3/2
Convert 3/2 into mixed number:
3/2 -> 1 1/2 because 3 fits into 2 evenly once, which leaves 1 remaining (for the denominator)
What’s the volume of a triangular prism?
Answer:
[tex]V = 0.5 X b X a X h[/tex]
Quadrilateral LMNO is a parallelogram, and LM=24-9 and NO=y-2, find the value of "y" and the length of NO.
Answer:
y = 7
NO = 5
Step-by-step explanation:
Let the side of the parallelogram LM and NO given be 2y - 9 and y - 2
Since LMNO is a parallelogram, hence;
LM = NO
2y - 9 = y - 2
2y - y = -2 + 9
y = 7
Since NO = y - 2
NO = 7 - 2
NO = 5
What is the distance between the points (−3, 4) and (−3, −5)?
Answer:
sorry i need points :(
..............
Step-by-step explanation:
.......
Question mark 1: Match the triangle to correct function and answer
Answer:
Triangle 1 - [tex]m\angle A = 58^{\circ}[/tex], hypotenuse = 16
[tex]x \approx 8.479[/tex]
Triangle 2 - [tex]m \angle A = 44^{\circ}[/tex], adjacent leg = 18
[tex]x \approx 17.382[/tex]
Triangle 3 - [tex]m\angle A = 49^{\circ}[/tex], opposite leg = 12
[tex]x \approx 15.900[/tex]
Step-by-step explanation:
Each triangle is solved by means of trigonometric relations:
Triangle 1 - [tex]m\angle A = 58^{\circ}[/tex], hypotenuse = 16
[tex]\cos 58^{\circ} = \frac{x}{16}[/tex]
[tex]x = 16\cdot \cos 58^{\circ}[/tex]
[tex]x \approx 8.479[/tex]
Triangle 2 - [tex]m \angle A = 44^{\circ}[/tex], adjacent leg = 18
[tex]\tan 44^{\circ} = \frac{x}{18}[/tex]
[tex]x = 18\cdot \tan 44^{\circ}[/tex]
[tex]x \approx 17.382[/tex]
Triangle 3 - [tex]m\angle A = 49^{\circ}[/tex], opposite leg = 12
[tex]\sin 49^{\circ} = \frac{12}{x}[/tex]
[tex]x = \frac{12}{\sin 49^{\circ}}[/tex]
[tex]x \approx 15.900[/tex]
PLEASE NO LINKS, I will report you.
Solve for x.
Need help, please.
I also need explanation.
Answer:
for 18 x is 6 and for 20 it is 11
Step-by-step explanation:
For 18, since -1+2x and 5+x is the same thing, set up and equation. WE can simplify to -1+x=5 and then we get x=6
For 20, 18 is 11 since 18=-4+2x. If we simplify we get 22=2x then we can use algebra to say that x=11
Hope this helps :)
Answer:
18.) x = 6
20.) x = 11
Step-by-step explanation:
18.)
We know that line segments FC and ED are parallel to each other so they are congruent to each other:
-1 + 2x = 5 + x
-1 + x = 5
x = 6
20.)
We know that line segments DE and CF are parallel to each other so they are congruent to each other:
18 = -4 + 2x
22 = 2x
22/2 = x
11 = x
Hope this helps!
Mr. Davis is looking to redo his carpet in his
house. He knows the area of the a room is 63
and he knows one measurement is 7ft. What's
the other missing measurement of the room?
Answer:
assuming the carpet is a rectangle, the missing measurement would be 9 ft.
(63 / 7 = 9)
A baby weighed 96 ounces at birth. Eight days later the baby weighed 120 ounces. About how many ounces did the baby gain each day? a. Write a two-step equation to represent the situation. b. Solve the equation.
Answer:
The baby gained about 3 ounces a day
HOPE THIS HELPS
-Todo ❤️
Step-by-step explanation:
120-96=24
24/8=3
The population of a rural town is 250 people. It is expected that the population of the town will double every decade. Which function represents p(d), the population
after d decades?
a. p(d) = 2^d + 250
b. p(d) = 2(250)^d
c. p(d) = 250(2)^d
d. p(d) = 2d + 250
A horizontal line passing through the point (-15,12)
Answer:
this is your answer........
WILL GIVE BRAINLIEST IMMEDIATELY. CORRECT ANSWER + EXPLANATION REQUIRED FOR BRAINLIEST. NO LINKS OR FAKE ANSWERS! IF YOU PUT A LINK OR FAKE ANSWER I WILL REPORT YOU!!!
look at the photos for question, diagram, and answer choices :)
Answer: A. alternate interior angles
Step-by-step explanation:
Line 2 (l₂) and Line 3 (l₃) will be the focus of this question. Since both angle 3 and angle 5 are inside of the lines, they are interior angles. Since they are on alternate sides of the central line (t₁), they are alternate angles. Since they are both alternate and interior angles, they are alternate interior angles.
How can I solve for x?
Answer:
37 degrees
Step-by-step explanation:
The angles within a triangle always add up to 180 degrees. Right angles are always 90 degrees. 53 + 90 = 143 degrees. 180 - 143 = 37 degrees
What is the equation of the line that passes through the points (15, 9) and (-2, 9)?
y=9
y=- 11/6x + 9
y= -17
y= 6x + 11
Answer:
y=-17x-25
Step-by-step explanation:
9-9=0
-2-15=-17
(y-9)÷(x+2)= -17
y-9=-17x-34
y= -17x-25
Mitch made a dot plot of the number of hours that students in his grade spent this week watching television.
Use the data to choose True or False for each statement.
Dot plot named as
A typical student from this group spends more than 10 hours watching television each week.
More students watch 3 hours of television than watch more than 3 hours of television.
All students watch 20 or fewer hours of television each week.
The most common answer for the number of hours that a student watches per week was 3.
Answer:
Part A
False
Part B
True
Part C
True
Part D
True
Step-by-step explanation:
A scatter diagram created with MS Excel shows the data as on the dot plot in a similar question obtained online
The number of students in the group = 92
Part A
The number of students that spend more than 10 hours watching television = 39
Therefore, given that less than half of the student spend more than 10 hours watching television, the statement is false
Part B
The number of students that watch 3 hours of television is the highest than any other time range with 16 students, therefore, the statement is true
Part C
The maximum hours watched by a student in the dot plot is 20 hours, therefore, the statement is true
Part D
The number of hours for which the student watched and which has the highest frequency is 3 hours, therefore, the statement is true as more students have 3 hours as the number of hours watched (16 students) than any other number of hours
need help. asap. also need an explanation for the problem. :)
Answer:
124858
Step-by-step explanation:
The first 4 digits are simple, you multiply the first digit of the equation by the 2nd digit and then for the other 2 you multiply the first digit of the equation by the 3rd digit.
6 + 2 + 8
6 * 2 = 12
6 * 8 = 48
Then the last 2 digits are the sum of the products of the 1 and 2 and 1 and 3 and subtract it by the 2
12 + 48 = 60
60 - 2 = 58
Put them together
PLEASE ANSWER QUICKLY don’t mind that i already clicked on one
A researcher took a random sample of 100 students from a large university. She computed a 95% confidence interval to estimate the average weight of the students at this university. The confidence interval was too wide to provide a precise estimate. True or false
Answer: False
Step-by-step explanation:
All the 100 students engaged in the experiment were picked on the basis that all the students of the university have a chance of being selected. The selected participants must have represented the whole university well.
So, having a 95% confidence interval that the experiment might have atmost 5% error prone is statistically enough and not too wide to give an accurate estimate.
HELP!!!!!!! I need a answer
Answer:
124
Step-by-step explanation:
20*8=160
if you subtract you get 124
brainliest?
Answer:
168 correcction 124 ig
Step-by-step explanation:
11 times 8 = 88
i decided to make it a triangle so for the other side to split in half
10 times 16 divded by 2 = 160 and split it in half i will get 80 thus
80 + 88 = 168
Find the center, vertices, and foci of the ellipse with equation x squared divided by 9 plus y squared divided by 25
Answer:
[tex]C=(0,0)[/tex]
[tex]F=(\pm 4,0)[/tex]
[tex]V=(\pm 5,0)[/tex]
Step-by-step explanation:
From the question we are told that:
The Equation
[tex]\frac{x^2}{9}*\frac{y^2}{25}[/tex]
Generally
From the Equation
[tex]a^2=25[/tex]
[tex]a=5\\b^2=9\\b=3[/tex]
Therefore
[tex]c=\sqrt{a^2-b^2}[/tex]
[tex]c=\sqrt{25-9}[/tex]
[tex]c=\sqrt{16}[/tex]
[tex]c=4[/tex]
Generally the equation for center is mathematically given by
[tex]C=(h,k)[/tex]
[tex]C=(0,0)[/tex]
Generally the equation for foci is mathematically given by
[tex]F=(h,k \pm c,0)[/tex]
[tex]F=(\pm 4,0)[/tex]
Generally the equation for vertice is mathematically given by
[tex]V=(h,k \pm a,0)[/tex]
[tex]V=(\pm 5,0)[/tex]
The figure shown is a rectangle with a semicircle on each end. What is the area of the
figure? Use 3.14 for at and round your answer to the nearest tenth.
34.8 in.2
8 in
161.0 in.
Blin
104.5 in.
76.3 in.2
Done
Step-by-step explanation:
the area of the fig. =
(8×6)+(3.14×3²)
= 48+ 28.3
= 76.3 in²
Answer:
what the dude said
Step-by-step explanation:
Btw dude, your a life saver
I’LL mark as brainliest !!! Plz no links
Answer: 125
Step-by-step explanation: 20% prefer naxvip juice, which is 1/5 of 100, if 25 people is 20% of the whole sample, 25*5 = 125, would be the answer.