Answer:
180 students speak English
Step-by-step explanation:
320÷16=20
20×9=180
If the radius of a sphere is increasing at the constant rate of 3 centimeters per second, how fast is the volume changing when the surface area is 10 square centimeters
How fast the volume of the sphere is changing when the surface area is 10 square centimeters is it is increasing at a rate of 30 cm³/s.
To solve the question, we need to know the volume of a sphere
Volume of a sphereThe volume of a sphere V = 4πr³/3 where r = radius of sphere.
How fast the volume of the sphere is changingTo find the how fast the volume of the sphere is changing, we find rate of change of volume of the sphere. Thus, we differentiate its volume with respect to time.
So, dV/dt = d(4πr³/3)/dt
= d(4πr³/3)/dr × dr/dt
= 4πr²dr/dt where
dr/dt = rate of change of radius of sphere and 4πr² = surface area of sphereGiven that
dr/dt = + 3 cm/s (positive since it is increasing) and 4πr² = surface area of sphere = 10 cm²,Substituting the values of the variables into the equation, we have
dV/dt = 4πr²dr/dt
dV/dt = 10 cm² × 3 cm/s
dV/dt = 30 cm³/s
So, how fast the volume of the sphere is changing when the surface area is 10 square centimeters is it is increasing at a rate of 30 cm³/s.
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The rodriguez and peralta families went to the local pizzeria for supper. The items purchased and the total cost of the purchases are shown in the table below. Find the cost per pizza and drink.
The cost of each pizza is $12.50 while the cost of each drink is $1.99.
What is an equation?An equation is an expression used to show the relationship between two or more numbers and variables.
Let x represent the cost of each pizza and y the cost of each drink. Hence:
3x + 5y = 47.45 (1)
Also:
4x + 8y = 65.92 (2)
From both equations:
x = 12.5, y = 1.99
The cost of each pizza is $12.50 while the cost of each drink is $1.99.
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What is the measure of the missing angle?
Answer:
for find
97 + 47
144
so --
triangle property
180 - 144
36
missing angle is 36
Answer:
36°
Step by step explanation:
✿Determine the measure of angle x
Step 1:
Add together the known angles
97° + 47° = 144°Step 2:
Subtract the sum from 180°
180° - 144° = 36°"so the final answer would be the missing angle"
The legend on a map states that
1 cm is 20 km. If you measure 9
centimeters on the map, how
many kilometers would the actual
distance be?
Actual distance = [ ? ] km
Answer:
1cm=20km
multiply both sides by 9
you get
9cm=20x9km
9cm=180km
Ramon and Hector ride their bikes at constant rate during race Raven rides 45 miles and 3 hours the distance Y in miles hector rides in x hours is given by the equation y=18x
Answer choices:
Ramon rides his bike 3 miles per hour faster than Hector it rides his bike
Ramon rides his bike 27 miles per hour faster than Hector rides his bike
ramon rides his bike 3 miles per hour slower than Hector rides his bike
Ramon rides his bike 27 miles per hour slower than Hector rides his bike
The third option is right. Raman rode 3miles/hr slower than Hector
Step-by-step explanation: Distance covered by Raman is 45miles In 3hours., his speed is 15miles/hr
Raman: 45=15×3 (45miles in 3hrs)
Hector: y=18× (54miles In 3hrs)
Distance = speed ×time
I need help this question says solve for x. Round to the nearest tenth, if necessary
Answer: 49.8
Step-by-step explanation:
Julia's family wants to save for her four-year college education. After some research, they
estimate that the total cost for a state school will be about $72,000. They have saved $50,000
so far, and Julia is 14 years old. If her family saves $250 a month for the next 4 years, how much
money will Julia need in financial aid to pay for her education?
Answer:
She will need $10000 in financial aid
Step-by-step explanation:
Step 1: Determine the money in 4 yeras
$250 a month * (4 years * 12 months per year)
$250 a month * (48 months)
$12000
Step 2: Determine the total amount
$50000 + $12000
$62000
Step 3: Determine the difference
$72000 - $62000
$10000
Answer: She will need $10000 in financial aid
Answer:
She will need $10000 in financial aid
Step-by-step explanation:
Step 1: Determine the money in 4 yeras
$250 a month * (4 years * 12 months per year)
$250 a month * (48 months)
$12000
Step 2: Determine the total amount$50000 + $12000
$62000
Step 3: Determine the difference
$72000 - $62000
$10000
Answer: She will need $10000 in financial aid
The number of water bottles used during a team's football practice varies directly with the temperature. If a team
uses 75 bottles when the temperature is 60°, what is the temperature if they use 120 bottles?
Answer:
96 degress letter G
Step-by-step explanation:
The graph of a linear function is shown on the grid.
Which function is best represented by this graph?
Answer:
its the fourth one g(x)=-⅔x+4
Step-by-step explanation:
the incline of the graph is down , and the point the graph meets y axis is +4
Answer:nits c
Step-by-step explanation:
Figure ABCDE is similar to figure LMNOP.
10 in
M
9 in
L
7. 5 in
B
D
pin
N
12 in
A
8 in
E
What is the value of p in inches?
A. 6 in
B. 10. 6 in
C. 10. 8 in
D. 7. 5 in
Frank works at a convenience store. He earns 7.50 per hour when he works during the day. He earns 12.50 per hour when he works at night. He wants to San at least 300 per week. Which graph best represents this situation?
Answer:
7.50x + 12.50y = 300
Step-by-step explanation:
Please help me I can’t figure it out
Answer:
20
Step-by-step explanation:
To evaluate the expression for a= 3, replace (or 'substitute') every 'a' you see with a '3' in the expression.
Given expression: 32 -4a
When a= 3,
32 -4a
= 32 -4(3)
= 32 -12
= 20
Answer:
20 is the value of expression when a is equal to 3 .Step-by-step explanation:
In the question we're given with an expression that is 32 - 4a , value of a is 3 . And we are asked to evaluate the expression for a = 3 .
Solution : -
[tex] \longmapsto \: 32 - 4a[/tex]
Step 1 : Substituting value of a in given expression :
[tex] \longmapsto \:32 - 4(3)[/tex]
Step 2 : Multiplying 4 with 3 :
[tex] \longmapsto \:32 - 12[/tex]
Step 3 : Subtracting 12 from 32 :
[tex] \longmapsto \: \red{\boxed{ \frak{20}}}[/tex]
Therefore , value of expression for 3 is 20 .#Keep LearningWhat value of n makes the equation 4(0.5n − 3) = n − 0.25(12 − 8n) true?
3
-9
0
-1
Answer:
n = -9
Step-by-step explanation:
4(0.5n − 3) = n − 0.25(12 − 8n)
2n - 12 = n - 3 + 2n
2n - 12 = 3n - 3
2n - 3n = - 3 +12
-1n = 9
n = -9
For which year would this model most likely be sufficient to make a prediction of the population? 1950 2005 2025 2050
The year the model would most likely be sufficient to make a prediction of the population is 2005.
What year would be sufficient to make a prediction?
The model of the population is an exponential function. An exponential function usually has the form: [tex]ab^{x}[/tex]. An exponential function is usually most accurate when the time horizon of prediction is the shortest. Based on the options, the shortest time after 2000 is 2005.
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WILL GIVE BRAINLIEST:
each graph shows a relation the first and second numbers of each ordered pair in the relation are members of the set of real numbers in each case find the domain and the range of the relation and determine whether the relation is a function
Answer:
see the explanation
Step-by-step explanation:
the half-circle is a function because there is only one x value for each y value
the full circle is a relation becaue he circle intersects the y-axis at 1 and -1
Answer:
For the second one:
Domain: -2≤x≤2
Range: -2≤y≤2
The relation is not a function
Step-by-step explanation:
Write an equation of the line with a slope of 0 and y -intercept of 5 .
y =
Answer:
y = 5
Step-by-step explanation:
y = mx + c
y = 0x + 5
y = 5
This gives a flat line where y is always 5
This is due tonight please help!
Help me asap!!!
Stem leaf
1
2, 4, 8
2
3,3,5
3
Mean=
2, 5
Median =
Mode =
Range =
-
-
A triangle has angles measuring 35º and 65º. What is the measure of the triangle's third
Answer:
Mean=30
Median=30.5
Mode=None
Range=11
Step-by-step explanation:
The mean is all the numbers added together then divided by how many numberes there are.
24+28+33+35=120
120/4=30
Median is the the middle of the data set when arranged least to greatest. Since its a even number the median will consist of two numbers. 28 and 33
28+33=61
61/2=30.5
Mode is the number most seen in the data set. Theyre all seen once so no mode
Range is the highest value subtracted from the lowest.
24-35=11
Determine whether each of the following sequences are arithmetic, geometric or neither. If arithmetic, state the common difference. If geometric, state the common ratio.
1, 3, 6, 10, 15, …
My answer below:
3 + 1 = 4
3 - 6 = -3
so, I get neither?
Sequence: 1, 3, 6, 10, 15, …
If sequence is arithmetic, [tex]\boxed{\sf \bold{second \ term = \dfrac{first \ term+third \ term}{2} }}[/tex]
If sequence is geometric, [tex]\boxed{\sf \bold{second \ term = \sqrt{first \ term \ * \ third \ term} }}[/tex]
Check for arithmetic:
[tex]\sf \rightarrow 3 = \dfrac{1+6}{2}[/tex]
[tex]\sf \rightarrow 3 =3.5[/tex] Hence, the sequence is not arithmetic
Check for geometric:
[tex]\sf \rightarrow 3 = \sqrt{1*6}[/tex]
[tex]\sf \rightarrow 3 = \sqrt{6}[/tex] Hence, the sequence is not geometric
Solution:
Neither[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]
[tex] \textbf{Let's see if the sequence is Arithmetic or Geometric :} [/tex]
[tex] \textsf{If the difference between successive terms is } [/tex] [tex] \textsf{equal then, the terms are in AP} [/tex][tex] \textsf{and} [/tex]
[tex] \textsf{If the ratio of successive terms is } [/tex] [tex] \textsf{equal then, the terms are in GP} [/tex][tex]\textsf{Since neither common difference is same, }[/tex] [tex]\textsf{nor common ratio is same, therefore }[/tex] [tex] \textsf{we can infer that it's neither an Arithmetic progression} [/tex] [tex] \textsf{nor Geometric progression. } [/tex]
Hope it helps ~
a. (-2,4) (-1,1) (-3,-1) (-5,2)
b. (2,4) (1,1) (3,1) (5,2)
c. (4,2) (1,1) (1,3) (2,5)
d. (4,-2) (1,-1) (-1,-3) (2,-5)
S'(4, -2) and T'(1, -1) and U'(-1, -3) and V'(2, -5)
Step-by-step explanation:[tex]Find\ the\ coordinates\ of\ the\ point\ after\ reflected\ in\ the\ line\ of\ symmetry:\\ \downarrow\\ S'(-4,-2)\ and\ T'(1,-1)\ and\ U'(-1,-3)\ and\ V'(2,-5)[/tex]
I hope this helps you
:)
A parking lot has 208 parking spots divided into equal rows. The total number of rows is
between 10 and 15. How many rows are in the parking lot?
somebody pls help me
im not very smart 7u7
Answer:
[tex]1 \2 (7 + 12)6 \\ 1 \2(19)6 \\ 114 \times 1 \2 = 72[/tex]
so therefore area is 72cm²
Write the ratio as a fraction in simple form, with whole number in the numerator and denominator 2. 7 hr to 7. 2 hr
Answer:
3/8
Step-by-step explanation:
A ratio is expressed in lowest terms by removing common factors from numerator and denominator.
[tex]\dfrac{2.7\text{ hr}}{7.2\text{ hr}}=\dfrac{3\cdot0.9\text{ hr}}{8\cdot0.9\text{ hr}}=\boxed{\dfrac{3}{8}}[/tex]
Point A has coordinates (0,4).
Point B has coordinates (1,6).
Point C has coordinates (2,0).
Find an equation of the line that passes through C and is perpendicular to AB.
equation needs to be in the form ax+by= c
a and b need to he integers ASAP PLS HELP
Answer:
x - 6y - 2 = 0
Step-by-step explanation:
Let “m” be the slope of line AB
and “a” be the slope of the line that passes through C and is perpendicular to AB
Then
[tex]m = \frac{6-0}{1-2} =-6[/tex]
The second line is perpendicular to AB
then
m × a = -1
then
-6 × a = -1
then
[tex]a=\frac{1}{6}[/tex]
C(2,0) lies on the line of equation y=ax+b
⇔ C(2,0) lies on the line of equation y=(1/6)x+b
⇔ 0 = (1/6)×2 + b
Then b= -1/3
Therefore Our equation is :
y = (1/6)x - 1/3
⇔ 6y = x - 2
⇔ x - 6y - 2 = 0
If TR = 11 ft, find the length of PS. Round to the nearest hundredth.
P
T
R
16°
S
arc PS =
ft
The length of arc PS from the information given in the task content is; 31.5 ft.
What is the length of the arc PS?It follows from the task content that;
Point T is the center of the circle and line TR is the radius of the circle.Additionally, the angle subtended by arcPS = 180 - m<PS = 180 - 16 = 164⁰. This follows from the fact that line PR is a diameter.On this note, the length of arc PS is;
arc PS = (164/360) × 2 × 3.14 × 11.
arc PS = 31.5ft.
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Please help me !! Giving brainliest!!
Answer:
O 4th option : (-4, -2)
Step-by-step explanation:
⇒ 9x - 9y = -18
⇒ -6x + 9y = 6
3x = -12x = -49(-4) - 9y = -18-36 - 9y = -18-9y = 18y = -2⇒ (x , y)
⇒ (-4, -2)
Answer:
(-4, -2)
Step-by-step explanation:
When using the elimination method, we combine the equations to get one. To combine them, we have to find a term with a number that is either positive or negative to the other, example : -6y and 6y, or 4x and -4x. We then take them and combine both equations to get one. Becuase they are the same, they simply cancel each other out.
9x - 9y = -18
-6x + 9y = 6
3x = -12
Divide both sides by 3 to get x alone
x = -4
Now, to find the y value, we can now plug in what we found for x.
9(-4) - 9y = -18
-36 - 9y = -18
Add 36
-9y = 18
Divide by -9
y = -2
Therefore making the solution, (-4, -2)
the number 94 is decreased to 86. what is the percentage by which the number was decreased, to the nearest tenth of a percent?
Answer:
8.5%
Step-by-step explanation:
8.5% of 94 is 7.99 which is closest we can get round to the nearest tenth of a percent.
solve the inequality 4p-5<25
Answer:
p<15/2
Step-by-step explanation:
p<(25+5)/4
p<30/4
p<15/2
Solve the system y=-x+7 and y=-.5(x-3)^2+8
Solve for X.
[tex]\frac{3}{x} =9[/tex]
Answer:
[tex]x=\frac{1}{3}[/tex]
Step-by-step explanation:
You cross multiply the x under 3 and multiply it by 9;
[tex]3=9x[/tex]
Divide both sides by 9;
[tex]\frac{3}{9} =x[/tex]
3/9 can also be called 1/3;
[tex]x=\frac{1}{3}[/tex]
Hope This Helps! :)