The number which is a multiple of 3,5 and 10 is 90
The seventh-grade class is raising money
to have a class trip at the end of the year.
They began the year with $1,500. Now they
have $1,650 in the account.
What is the percent of increase for the
money the class has raised? I
a.
b.
Make Sense and Persevere The
class figured out that if the percent
increase is 99% from the beginning of
the year, the class will have enough
money for every student to go on the
field trip. How much money will the
class need to raise for every student to
go.
Answer:
The percent of the increase for the money the class raised is 10 %
Step-by-step explanation:
Because if you divide 1500 by 10 you get 150 that means 150 is 10 % of 1500 and if you add 150 to 1500 you get 1650 so the increase of money the class raised is 10 %
9cm 4. 5cm 12 см.
find the perimeter and the area of the above figures
If sides are
9cm4.5cm12cm[tex]\\ \sf\longmapsto Perimeter=Sum\:of\:sides[/tex]
[tex]\\ \sf\longmapsto Perimeter=9+4.5+12[/tex]
[tex]\\ \sf\longmapsto Perimeter=13.5+12[/tex]
[tex]\\ \sf\longmapsto Perimeter=25.5cm[/tex]
[tex] \large\begin{gathered} {\underline{\boxed{ \rm {\purple{Perimeter\:_{(Triangle) \: \large= \large\:Sum \: of \: all \: sides}}}}}}\end{gathered}[/tex]
Sides of triangle are 9cm , 4.5cm and 12cm.[tex]\large\bf{\red{ \longrightarrow}} \tt \: \:9 \: cm \: + \: 4.5 \: cm \: + \: 12 \: cm[/tex]
[tex]\large\bf{\red{ \longrightarrow}} \tt \: \:13.5 \: cm \: + \: 12 \: cm[/tex]
[tex]\large\bf{\red{ \longrightarrow}} \tt \: \:25.5 \: cm[/tex]
Hence , the perimeter of triangle is 25.5 cm
find the measure of b
========================================================
Explanation:
Let's add angle c to the diagram such that it's adjacent to angle b, and inside the quadrilateral. Notice how angle c is opposite the 100 degree angle of this inscribed quadrilateral.
For any inscribed quadrilateral, the opposite angles are supplementary
c+100 = 180
c = 180-100
c = 80
Angles b and c are supplementary as well, because they form a straight line.
b+c = 180
b+80 = 180
b = 180-80
b = 100
In short, angle b is the same measure as that 100 degree angle in the diagram.
Step-by-step explanation:
Hi there!
From the above figure;
Let "x" be an unknown angle.
Then;
100° + X = 180°. { The opposite angles of cyclic quadrilateral is supplementary}
X = 180°-100°
Therefore, X= 80°.
Now;
X+b = 180°. {linear pair}
80° + b = 180°
Therefore, b = 100°.
[Next method:
b = 100° {When any side of cyclicquadrilateral is extended the external angle is equal to opposite interior angle.]
Hope it helps.
Heights (cm) and weights (kg) are measured for 100 randomly selected adult males, and range from heights of 139 to 192 cm and weights of 38 to 150 kg. Let the predictor variable x be the first variable given. The 100 paired measurements yield x hat= 167.82 cm, y hat= 81.39 kg,
r = 0.101, P-value = 0.317, and y = - 106 + 1.01x.
Required:
a. Find the best predicted value of y (weight) given an adult male who is 189 cm tall. Use a 0.05 significance level.
b. Find the best predicted value of y hat for an adult male who is 189 tall in ____kg.
When an adult is 189cm tall, his predicted weight in kg is 84.89kg
We have y = -106+1.01x. This is the regression equation
the y value represents weight and it is the predicted valuethe X value represents height and it is the predictorwe are to find y(weight) given that x (height) is 189 cm
y = -106 + 1.01x
y = -106+1.01*189
y = -106+190.89
y = 84.89 kg
In conclusion, when height is 189cm, weight is 84.89 kg
Here is a similar question https://brainly.com/question/16105209?referrer=searchResults.
If a line has a slope of -2 and goes through the point (1, -3), then the equation for the line in slope-intercept form is what?
Answer:
y = -2x - 1
Step-by-step explanation:
Plug in the slope and given point into slope intercept form, y = mx + b, and solve for b:
y = mx + b
-3 = -2(1) + b
-3 = -2 + b
-1 = b
Plug in the slope and y intercept into y = mx + b:
y = mx + b
y = -2x - 1
So, the equation of the line is y = -2x - 1
Find Term 20 for the sequence a= 4 6 8 10......
4,6,8,10 are in A.P
a=4d=2[tex]\\ \rm\Rrightarrow a_n=a+(n-1)d[/tex]
[tex]\\ \rm\Rrightarrow a_20=4+(20-1)2[/tex]
[tex]\\ \rm\Rrightarrow a_20=4+19(2)[/tex]
[tex]\\ \rm\Rrightarrow a_20=4+38[/tex]
[tex]\\ \rm\Rrightarrow a_20=42[/tex]
4) If the perimeter of a square is 48cm",
What is the length of each side?
Simplify your answer.
Answer:
If the total perimeter of square is 48 cm, then the length of one side is equal to 48 divided by 4, since all sides of a square are the same.
So, the correct answer is 12.
Let me know if this helps!
The length of each side is 12cm.
Explanation:
The perimeter of a square is calculated by the formula:
P = 4a , where P = perimeter, and a = length of any side, all sides being equal in a square.
From the given data we write:
48 = 4a
Divide both sides by
4.12 = a
The length of each side is 12cm.
____________ is/are when data is analyzed in order to make decisions about the population behind the data.
A. Experiments
B. Simulations
C. Surveys
D. Statistics
Answer:
statistics are when data analyzed in order to make decisions about the population behind the data.
The correct answer to the question is Statistics (Option D).
What is statistics?
Statistics is a field of study in mathematics which deals with raw data. It is a tool which refines the data to produce meaningful results and a pathway to better understanding of it.
Some examples of raw data can be population sample which loves to see a particular TV show or a sample of students getting so and so marks in Math test.
Data is analyzed mainly by three different measure of central tendency that is mean, median and mode.
Mean is the average value of given discrete data.Median is the middle value when the data is sorted in ascending or descending order.Mode is the value that has highest frequency.Therefore, Statistics the correct answer.
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Help me plz need the steps
In Figure 7 (open photo), GH is a diameter of the circle. What is
x² + y² ?
A)58
(B) 49
(C) 10
D) 9
(E) It cannot be determined from the information given.
Answer:
[tex]A)58[/tex]
Step-by-step explanation:
[tex][Kindly\ refer\ the\ attachment]\\We\ are\ given:\\GH\ is\ the\ diameter\ of\ the\ circle.\\ Also,\\ GM=3\ units\ and\ MH=7\ units\\From\ the\ figure,\\GH\ subtends\ an\ angle\ at\ two\ points\ specifically\ M\ and\ N\ on\ the\\ arc.\\Now,\\We\ know\ that,\\'The\ Angle\ subtended\ by\ the\ diameter\ anywhere\ over\ the\ arc\ of\ the\\ circle\ is\ always\ 90\ degrees'.\\Hence,\\\angle GMH\ = \angle GNH=90\\[/tex]
[tex]Also,\\Pythagoras\ Theorem\ states\ that: 'In\ a\ right\ triangle,\ the\ sum\ of\ squares\\ \ of\ the\ legs\ is\ equal\ to\ the\ square\ of\ the\ hypotenuse'\\In\ \triangle GMH,\\Since\ \angle GMH=90,\\GM^2+MH^2=GH^2[Through\ Pythagoras\ Theorem]\\Hence,\\Substituting\ GM=3,\ MH=7:\\3^2+7^2=GH^2\\GH^2=9+49=58[/tex]
[tex]Similarly,\\In\ \triangle GNH,\\Since\ \angle GNH=90,\\GN^2+NH^2=GH^2\\Hence,\\Substituting\ GN=x\ and\ NH=y:\\x^2+y^2=GH^2\\x^2+y^2=58[/tex]
2. The volume of a cube is 8 cm", find the length of one of its sides
Answer:
Step-by-step explanation:
The question has an error. Volume is expressed in cubic units. You probably mean cm³ .
Volume = 8 cm³
Length of each edge = ∛8 = 2 cm
Answer:
2cm
Step-by-step explanation:
Volume of cube=a^3 cubic units
8=a^3
a=cuberoot of 8
which is 2
find the number of permutations that can be formed from all letters in the word connecticut
Basketball A basketball player makes 8 of 12 free throws
in the first game of the season. If she shoots with the same
accuracy in the second game, how many of the 15 free
throws she attempts will she make?
How do we solve this?
Answer:
f(x)=11+7√x
f'(x)=7/(2x^(1/2))
putting x=1
f'(1) = 7/(2×1^(1/2))
= 7/2 = 3.5
putting x=2
f'(2) = 7/(2×2^(1/2))
= 7/(2×√2)
= 7√2/4
= 2.47 (rounded to the nearest hundredth)
f'(3) = 7/(2×3^(1/2))
= 7/(2×√3)
= 7√3/6
= 2.02 (rounded to the nearest hundredth)
Steven’s basketball team won 5 out of their first 12 games. If they continue to win at this rate, how many games will they lose if they play 49 games?
Answer:
29 losses in 49 games.
Step-by-step explanation:
The number of games that they lost in the first 12 = 12 - 5 = 7
7/12 = x / 49 Multiply both sides by 49
7*49 / 12 = x
x = 343/12
x = 28.5833
What do you do with the 0.5833? I would say round up to 29.
In how many years will the compound amount on Ås 1250 beR 1,458 at 8%
Answer:
rate of interest per annum 8% step by step
Step-by-step explanation:
C.i is 1458 - 1250 = 208
there fore C.i = p [ C1 +r / 100 ) ^2_ 1
hope this help u
If a = 4 and 5a(2b – 3a) = 40, what is the value of b?
a. 6
b. 7
c. 10
d. 12
Answer:
b=7
Step-by-step explanation:
5a(2b – 3a) = 40
Let a=4
5*4(2b-3*4) = 40
20(2b-12) = 40
Divide each side by 20
20/20 (2b-12) = 40/20
2b-12 =2
Add 12 to each side
2b-12+12 = 2+12
2b = 14
Divide by 2
2b/2 = 14/2
b = 7
A class of 40 students visits a farm they tour the farm in group of 5 how many groups of 5 can they make?
Answer:
8
Step-by-step explanation:
40 grouped into 5 = 40/5 = 8
A rectangular paperboard measuring 29in long and 20in wide has a semicircle cut out of it, as shown below.
Find the area of the paperboard that remains. Use the value 3.14 for π, and do not round your answer. Be sure to include the correct unit in your answer.
Here, we are required to find the area of the paper board given after the semicircle is cut out of it
Area of the paper board that remains is 423 in²
Length = 29 in
Width = 20 in
Area of a rectangle = length × width
= 29 in × 20 in
= 580 in²
Area of a semi circle = πr²/2
π = 3.14
r = diameter / 2 = 20 in / 2 = 10 in
Area of a semi circle = πr²/2
= 3.14 × (10 in)² / 2
= 3.14 × 100 in² / 2
= 314 in²/2
= 157 in²
The semicircle is cut out of the rectangle
Find the area of the paper board that remains after the semicircle is cut out of it by subtracting the area of a semi circle from the area of a rectangle
Area of the paper board that remains = Area of a rectangle - Area of a semi circle
= 580 in² - 157 in²
= 423 in²
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When I add 45 to a certain number and divide the sum by 2, the result is the same as 5 times the number. What is the number?
Answer:
5
Step-by-step explanation:
(45 + x) / 2
add 45 to a certain number and divide the sum by 2
= 5 × x
is 5 times the number
(45 + x)/2 = 5x
45 + x = 10x
45 = 9x
x = 5
Triangle ABC has vertices A (0, 2), B (5, 4), and C (5, 0). Triangle A′B′C′ has corresponding vertices A′ (–5, –1), B′ (0, 1), and C′ (0, –3). Which of the following describes a translation that would produce triangle A′B′C′ from the pre-image of triangle ABC?
A) To the right five units, up three units.
B) To the left five units, down three units.
C) To the left five units, up three units.
D) To the right five units, down three units.
Answer:
it’s to the left 5 units, down three, so B because the translation maps abc to a’b’c’
Step-by-step explanation:
Complete the pattern ___ 8,579 ____85.7 8.57____
Answer:
the next one is .857 I hope this helps you :)
Question 17 and 18 plz show ALL STEPS and HELP ME ASAP
Answer:
17) 750/9 and 18) 364
Step-by-step explanation:
17. Summation of 75*(0.1)^i from i=0 to infinity, that is equal to 75*(Summation of (0.1)^i). Summation of (0.1)^I is a geometric series with a sum of 1/(0.9)=10/9. Hence the series have a sum equal to 75*(10/9)=750/9
18) It's a series with sum=1+3+9+27+81+243=364
An architect was designing a rectangular room with a length of 16 feet, a width of 14 feet,
and a height of 10 feet.
What is the volume, in cubic feet of the room?
Show your work
cubic feet
Answer
The architect changed his design and added 2 feet to the length and width of the room.
In cubic feet, how much greater is the volume of the room in his new design?
Show your work
cubic feet
Answer
Hurrryyy knowww
Answer:
(1) 16 x 14 x 10 Room: 2240 ft^3.
(2) How much greater the 18 x 16 x 10 Room is: 640 ft^3.
Step-by-step explanation:
To find the volume of a given space, all we need to do is multiply length*width*height. In this case, the values are 16*14*10, which equals 2240 ft^3.
The changed design would have a volume of 18*16*10, which would equal 2880 ft^3.
To find the difference in volume between the two rooms, all we have to do is subtract the smaller room from the bigger room. 2880 - 2240 = 640 ft^3.
A cell phone carrier charges a fixed monthly fee plus a constant rate for each minute used. Part 1. In January, the total cost for 150 minutes was $ 62 while in February, the total cost for 175 minutes was $ 64 . The constant charge for each minute used is:
a. 0.09
b. 0.1
c. 0.08
Part 2. The fixed montly fee charged by the carrier is;
fee = $__________________
9514 1404 393
Answer:
c. $0.08
fee = $50
Step-by-step explanation:
We are given two ordered pairs:
(minutes, charges) = (150, 62) and (175, 64)
The slope of the graph of charges is ...
m = (y2 -y1)/(x2 -x1) = (64 -62)/(175 -150) = 2/25 = 0.08
The charge for each minute is $0.08.
__
The y-intercept of the graph can be found from ...
b = y -mx
b = 62 -150(0.08) = 62 -12 = 50
The fixed monthly fee is $50.
The volume of a cylinder varies jointly with the square of its radius and with its height: V=kr2h
Cylinder A has a volume of 254.34 cubic inches and has a radius of 3 inches and a height of 9 inches. What is the volume of cylinder B, which has a radius of 4 inches and a height of 5 inches?
Answer:
v = pi x r^2 x h
3.14 x 16 x 5 =251.2
hope that answers your question
Determine the type of sampling used. A De Anza English instructor randomly selects three EWRT 1A classes and then interviews all students in those three classes to determine the average number of required books for EWRT 1A classes carried by EWRT 1A students at De-Anza College.
this is a random sample because the instructor randomly selected the classes that she wants to use for her interview.
The sampling method used is random sample.
What are sampling methods?To reach substantial inferences from your outcomes, you need to painstakingly conclude how you will choose an example that is illustrative of the gathering in general. A sampling method is the name for this. You can use one of two primary types of sampling methods in your research:
By using random selection in probability sampling, you can draw solid statistical inferences about the entire group.
You can easily collect data with non-probability sampling, which uses non-random selection based on convenience or other criteria.
Given English instructor randomly select 3 classes,
and then interviews all students in those three classes to determine the average number,
Every member of the population has the same chance of being chosen in a straightforward random sample. The entire population should be included in your sampling frame.
You can use techniques that are entirely based on chance or tools like random number generators to carry out this kind of sampling.
The method used is Random sample method.
Hence, Random sample sampling is used.
Learn more about sampling methods;
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What is the surface area of a cone with a slant height of 12.5m and a diameter of 9m? Round to the nearest whole number.
9514 1404 393
Answer:
240 m²
Step-by-step explanation:
The lateral surface area is given by the formula ...
LA = πrs . . . . . cone with radius r and slant height s
The base area is given by the formula ...
BA = πr²
The total surface area is the sum of these:
SA = BA +LA = πr² +πrs = πr(r+s)
The radius is half the diameter, so is 9m/2 = 4.5 m. Then the surface area is ...
SA = π(4.5 m)(4.5 m +12.5 m) = 76.5π m² ≈ 240 m²
Answer:
1: A. 448 2: 209 pi cm^2 3: D. 351 m^2 4. B 240 cm^2 5. C. 561.1 cm^2
Step-by-step explanation:
just took the test!!!
Find the inverse of f(x) = -3 -4/5x
Answer:
-5/4x -15/4 = y
Step-by-step explanation:
y = -3 - 4/5x
To find the inverse, exchange x and y
x = -3 - 4/5 y
Solve for y
Add 3 to each side
x+3 = -4/5y
Multiply each side by -5/4
-5/4(x+3) = -5/4 * -4/5(y)
-5/4x -15/4 = y
Start with the number 2380.
Divide by 10,
The 8 will end up in the _____ place.
The 8 will end up in the "ones place".
How can we interpret the division?When 'a' is divided by 'b', then the result we get from the division is the part of 'a' that each one of 'b' items will get. Division can be interpreted as equally dividing the number that is being divided into total x parts, where x is the number of parts the given number is divided.
We need to find the 8 will end up in which place
A negative divided by a negative is positive, then;
2380/ 10 = 238
Therefore, The 8 will end up in the _ ones_ place.
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HELPPPP
Find the product of (x + (3+5i))2.
Answer:
Use identities:
(a + b)² = a² + 2ab + b²i² = -1Simplify:
(x + (3 + 5i))² = x² + 2x(3 + 5i) + (3 + 5i)² = x² + 6x + 10xi + 9 + 30i - 25 = x² + 6x + 10xi + 30i - 16Identity used:-
[tex]\boxed{\sf (a+b)^2=a^2+b^2+2ab}[/tex]
Now
[tex]\\ \sf\longmapsto (x+(3+5i))^2[/tex]
[tex]\\ \sf\longmapsto x^2+2x(3+5i)+(3+5i)^2[/tex]
[tex]\\ \sf\longmapsto x^2+6x+10xi+3^2+2(3)(5i)+(5i)^2[/tex]
i^2=-1[tex]\\ \sf\longmapsto x^2+6x+10xi+9+30i-25[/tex]
[tex]\\ \sf\longmapsto x^2+6x+10xi+30i+9-25[/tex]
[tex]\\ \sf\longmapsto x^2+6x+10xi+30i-16[/tex]
