Answer:
a₄ = 1.25
Step-by-step explanation:
Given that,
First term of GP, a₁ = 10
The common ration of GP, r = 0.5
The nth term of the GP is given by :
\(a_4=a_1r^{n-1}\\\\a_4=a_1r^3\\\\a_4=10\times (0.5)^3\\\\a_4=10\times 0.125\\\\a_4=1.25\)
So, the fourth term of the GP is 1.25.
how many solutions does the following equation have? explain
5x- 3x + 5 = 8x +5
Answer:
Plug into desmos, the exact equation, and put in what point comes out.
Step-by-step explanation:
Answer:
Once fully solved, x is equal to 0, so it means that there is only one solution
Step-by-step explanation:
When you combine like terms (without adding variables to either side), the equation is equal to:
2x + 5 = 8x + 5
Then, the next step is:
5 = 8x + 5 - 2x
Finally, the last one is:
0 = 6x, which is x = 0.
This composite figure is made up of three simpler shapes. What is the area of the figure? 7 cm 4 cm 5 cm 4 CE 8 cm A. 66 square cm R 50 square cm C. 46 square cm D. 80 square cm
The total area of the given figure will be 66 square cm.
What is an area?
The space occupied by any two-dimensional figure in a plane is called the area. Here we have three shapes a triangle, a rectangle and a parallelogram.
Total area = Area of triangle + Area of rectangle + Area of parallelogram
Total area = [(1/2) x 4 x7] + [4 x 5] + [ 4 x 8 ]
Total area = 14+20+32
Total area = 66 square cm
Hence the total area of the given figure will be 66 square cm.
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There is no overlap between the graphs of y< x+ 2 and y> x-2.
True or False
Someone help please
Answer:I think it's TRUE not sure
Step-by-step explanation:
The figure below has a volume of 60 cubic units. How many more cubes will it take to fill the figure?
Answer:
55
Step-by-step explanation:
Answer:
55 cubic units
Step-by-step explanation:
you subtract 60 and the amount of cubes there are (5)
60-5=55
what is.
m + 0.6 = 2.6
Answer:
m is 2 because 2.6 - 0.6 = 2 . so 2 is the answer
Natasha rode her
bicycle for 45 minutes on Saturday and for 85
minutes on Sunday. How long did she ride
her bicycle on Saturday and Sunday? Show
your answer in hours and minutes.
Answer:
130 minutes total and 2 hours and 10 minutes
Step-by-step explanation:
Its correct
Answer:
14 hours, 11 minutes, 50 seconds
Step-by-step explanation:
To solve for distance use the formula for distance d = st, or distance equals speed times time.
distance = speed x time
Rate and speed are similar since they both represent some distance per unit time like miles per hour or kilometers per hour. If rate r is the same as speed s, r = s = d/t. You can use the equivalent formula d = rt which means distance equals rate times time.
distance = rate x time
To solve for speed or rate use the formula for speed, s = d/t which means speed equals distance divided by time.
speed = distance/time
To solve for time use the formula for time, t = d/s which means time equals distance divided by speed.
time = distance/speed
I honestly believe this is right. I hope it helped!
In the real world, functions are mathematical representations of input-output situations. A vending machine is one such example. The input is the money combined with the selected button. The output is the product.
Here is another example: The formula for converting a temperature from Fahrenheit to Celsius is a function expressed as:
C = (5/9)*(F - 32), where F is the Fahrenheit temperature and C is the Celsius temperature.
If it is 77 degrees Fahrenheit in Phoenix Arizona, then what is the equivalent temperature on the Celsius thermometer?
Our input is 77.
C = (5/9)*(77 - 32)
C = (5/9)*(45)
C = 25
The equivalent temperature is 25 degrees Celsius.
To complete the Discussion activity, please do the following:
Choose your own function or choose from the list below and then provide a unique example of a function and evaluate the function for a specific input (like the example above).
Arm length is a function of height.
The circumference of a circle is a function of diameter.
The height of a tree is a function of its age.
The length of person's shadow on the ground is a function of his or her height.
Weekly salary is a function of the hourly pay rate and the number of hours worked.
Compound interest is a function of initial investment, interest rate, and time.
Supply and demand: As price goes up, demand goes down.
The correct answer is John's weekly salary is $240 based on his hourly pay rate and the number of hours worked.
Let's choose the function "Weekly salary is a function of the hourly pay rate and the number of hours worked."Example: John works as a part-time employee at a grocery store. His hourly pay rate is $12, and he worked for 20 hours in a week. We can evaluate the function to find his weekly salary.
Weekly salary = Hourly pay rate * Number of hours worked
Weekly salary = $12/hour * 20 hours
Weekly salary = $240
So, John's weekly salary is $240 based on his hourly pay rate and the number of hours worked.
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PLEASE HELP ASAP!
For a particular area, the average temperature, y, in degrees Fahrenheit x days after January 1 is given by the function y=30sin(2π/365(x−89))+65. The average temperature of 45° occurs twice a year. Find the number of days after January 1 for each of these occurrences.
The average temperature is 45° both 47 days and 280 days after January 1.
The average temperature is 45° 47 days January 1.
The average temperature is 45° both 50 days and 314 days after January 1.
The average temperature is 45° both 47 days and 314 days after January 1.
Answer:
The Average Temperature Of 45 Occurs Twice A Year. Find The Number Of Days After January 1 For Each Of These Occurrences.
Please Help!
Select the equation for a graph that is the set of all points in the plane that are equidistant from the point F(6, 0) and line x = -6.
a. x = 1/24y^2
b. x = 1/2y^2
c. x = -1/24y^2
d. x = -1/12y^2
Answer:
Letter:C
Step-by-step explanation:
#CARRY ON LEARNING
what is the volume of the pyramid shown below? 6 11 11
A. 363 cu. units
B. 396 cu. units
C. 726 cu. units
D. 242 cu. units
5/12x6/15=30/180
How do I simplify?
Answer:
0.167
Step-by-step explanation:
if you divide 30/180 it will get you a decimal of 0.166666667 but if you were to divide 180 by 30 you will get 6
technecaly your answer would be 0.166666667 but you only take the first number in the decimal which is 0.1 then take six 0.16 then add the 7 0.167
that should end up being your answer if i did the math right
Answer:
Step-by-step explanation:
5/12 * 6/15 =30/180
1/6=1/6
which is true, Right-hand side is equal to left-hand side
Use spherical coordinates. Evaluate(x2 +y2 + z2)2 dv, where B is the ball with center the origin and radius 3. Need Help? Read It Watch ItMaster It Talk to a Tutor
The triple integral using the spherical coordinates is 16 π .
Given :
Use spherical coordinates. Evaluate( x^2 + y^2 + z^2 )^1/2 dv, where B is the ball with center the origin and radius 3.
we know that ,
= ∫∫∫ ( x^2 + y^2 + z^2 )^1/2 dv
= ∫∫∫ x . x^2 .sin Φ dΦ dθ dx
where lower limits and upper limits are ( 0 , 2 ) , ( 0 , 2 π ) , ( 0 , π ) .
= ∫ x^3 . dx ∫ dθ ∫ sin Φ dΦ
= 2^4 / 4 * 2 π * 2
= 4 * 2 π * 2
= 8 π * 2
= 16 π
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State the name of the property illustrated.
4(-8+5)= - 32 + 20
The property illustrated in equation 4(-8+5) = -32 + 20 is the Distributive Property.
The Distributive Property states that when a number is multiplied by a sum or difference in parentheses, it can be distributed or multiplied by each term inside the parentheses separately, and then the results can be added or subtracted.
In this case, the number 4 is multiplied by the sum (-8 + 5). By applying the Distributive Property, we distribute the 4 to each term inside the parentheses:
4(-8 + 5) = (4 * -8) + (4 * 5)
This simplifies to:
4(-8 + 5) = -32 + 20
Finally, we can perform the addition:
-32 + 20 = -12
Therefore, the equation demonstrates the application of the Distributive Property.
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Alicia pays $180 to have cable and wi-fi installed in her home. Each month, she will pay $75 month for her cable
Answer:
In a year she will pay $900
The cost of the installation and a month would be $225
The cost of a year and installation would be $1,080
Step-by-step explanation:
</3 PureBeauty
Best answer gets brainliest. How do I find X?
Answer:
x=10
Step-by-step explanation:
add al the numbers that are alike so xes with xes blah blah
17x+10=180
-10 both sides
17x=170
divide 17 both sides
check
5(10)=50-1=49
80+5=85
40+6=46
49+85+46=180
Can someone plz help me please ! I’ll give you the brainleist
Answer:
B
Step-by-step explanation:
I would appreciate it if you mark brainliest.
Answer:
B
Step-by-step explanation:
It's 2 in the x direction
and -1.5 in the y direction.
Therefore the coordinate is (2, -1.5)
If a leopard can run 500 years in 1/2min how many yards could they run in 1 hour
Answer:
?
Step-by-step explanation: how do expect us to know this
Mrs. Oscar has 24,28and 32 students in her first three science classes. She divided the students in each class into equally sized groups for an activity.If each group had the same number of students in all of classes, what is the greatest number of students in each group?
i would say 4. because 4 can go into each of those numbers equally
Please solve the problem in the attachment.
It is due on thursday.
Answer:
A= 7
B= 8
C= 3
Step-by-step explanation:
For C: 9=C*C-->C=SQRT(9)=3
For B: Some number ending in 4 is equals to B*C, C being 3. Then, the first number that fits that criteria would be B=8, as B*C=8*3=24.
For C: Some number ending in 1 equals to A*C. Then, the first number that fits that criteria is A=7, as A*C=7*3=21.
If you now multiply ABC*ABC (783*783) you'll see that all the elements in the multiplication process as carried out in the pdf are non-zero, so our answer satisfies the conditions of the problem!
Find the total area of the shape shown below in square feet. Enter only the number.
16 feet
5 feet
12 feet
9 feet
7 feet
7 feet
The solution is
Answer:
129, because you split the shape into two find the area of them separately and then add them up
Find the measure of each angle in the following triangle
Savannah's balance in her checking account was –$200. That is, she was $200 IN DEBT to her bank. She deposited (put into the account) two checks, each in the amount of $298.40. How much money does she have in the account now?
1.Write an equation to help you solve this problem (I encourage you to draw a number line if it is helpful)
2. Justify each term and operation in your equation. Where does each number come from? Why did you choose to add, subtract, multiply or divide?
3. Solve your equation and write your final response, with units!
Answer:
Her balance will be $396.8Step-by-step explanation:
Given that Savannah was indebted to her bank of the amount of
$200.
she deposited two checks each $298.40
that is the total amount deposited is $298.40x2= $596.8
(we multiplied by 2 because the question says the checks are two in number and that they are of the same amount)
The balance in her account upon deposit of the two checks is
$596.8- $200 = $396.8
(we subtracted $200 because she is indebted of $200)
Please match the following 3 terms to their definitions.
Answer:
See attached
Step-by-step explanation:
Refer to picture
the sum of 8 and 7 double
Answer: 30
Step-by-step explanation:
(8+7) x 2
= 15 x 2
= 30
for homework lawl
Evaluate each expression when x is 4 and y is 6.
(6-x)3 + y
lim x>-1 x^2-x-2/x+1
Answer:
-3
Step-by-step explanation:
If we directly evaluate the function at -1, we get 0/0, meaning we may still have a limit to find.
In this case, factoring the polynomial at the top would be helpful.
The polynomial can be factored to (x+1)(x-2), so the function would now turn out to be (x+1)(x-2)/(x+1)
The (x+1) cancel out, leaving you with (x-2), which you can directly evaluate by plugging in x as -1:
-1-2 = -3
Quick disclaimer: the function is still undefined at -1; it's just that the function gets closer and closer to -3 as you approach -1.
I hope this helped you.
You are given the great circle of a sphere is a length of 25 miles. What is the volume of the sphere
The volume of the sphere is approximately 3431.82 cubic miles.
To find the volume of a sphere, we need the radius of the sphere. The length of a great circle is the circumference of the sphere, which is related to the radius by the formula C = 2πr, where C is the circumference and r is the radius.
In this case, we are given that the length of the great circle is 60 miles. We can use this information to find the radius of the sphere.
C = 2πr
60 = 2πr
Divide both sides of the equation by 2π:
r = 60 / (2π)
r = 30 / π
Now that we have the radius, we can use the formula for the volume of a sphere:
V = (4/3)πr³
V = (4/3)π(30/π)³
V = (4/3)π(27000/π³)
V = (4/3)π(27000/π³)
V = (4/3)π(27000/π³)
V = (4/3)(27000/π²)
V = (4/3)(27000/9.87) (approximating π to 3.14)
V ≈ 3431.82 cubic miles
Therefore, the volume of the sphere is approximately 3431.82 cubic miles.
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Question
You are given the great circle of a sphere is a length of 60 miles. What is the volume of the sphere?
What is the equation of the line that passes through the point (5,4) and has a slope of 2
Hello,
\(y = ax + b\)
We know the slope is 2 so :
\(y = 2x + b\)
The equation of the line that passes through the point (5,4) so :
\(4 = 2 \times 5 + b\)
\(4 = 10 + b\)
\(b = 4 - 10\)
\(b = - 6\)
The equation of the line that passes through the point (5,4) and has a slope of 2 is :
\(y = 2x - 6\)
y = 2x - 6
Step-by-step explanation:Most lines are written in slope-intercept form, but we can use slope-point form in situations like this.
Slope-Point Form
The formula for slope-point form is \(y-y_{1}=m\left(x-x_{1}\right)\). So, we can plug in the information we have, the point and slope.
y - 4 = 2(x - 5)This is an equation for the line given to us. However, this form can be simplified further.
Slope-Intercept Form
Slope-intercept form is written as y = mx + b, where m is the slope and b is the y-intercept. To find the most simplified form of the equation we need to use the properties of equality.
First, distribute the 2
y - 4 = 2x - 10Next, add 4 to both sides
y = 2x - 6Now, we have the equation for the line in slope-intercept form. Both of the equations technically meet the requirements for the question, but slope-intercept is more common to use.
litterly help asap
The retail price of a golf club is $342. If the golf store has marked up the price by $42, what is the markup rate?
A golf club costs $342 at retail. The markup rate is 71.4% if the golf store has increased the price by $42.
What is meant by markup rate?The markup percentage is the difference between what an item costs the seller and what the customer pays. The greater the markup, expressed as a percentage of the cost, the greater the profit. While there is no "ideal" markup percentage, most businesses set it at 50%. A 50 percent markup, also known as a "keystone," means you are charging a price that is 50% higher than the cost of the good or service. Both terms are used to help determine profitability, but they are not the same! The markup is the percentage difference between a product's selling price and its cost.Given,
The difference in prices is $342 - $42 = $300
So, we need to find what percentage of 42 is 300
We do this by dividing: 300/42 = 7.14
which is 71.4 %.
So, the markup is 71.4 %.
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Na divisao de polinômio do 3°garus P(×) pelo(×-A), ao usar o dispositivo pratico de briot-biffini, encontro-se:
Answer: What language is that? I want to help..but can you translate to english
Step-by-step explanation: