Answer:
[tex]T_{2} = 200[/tex]
Step-by-step explanation:
Given
Geometry Progression
[tex]T_1 = 500[/tex]
[tex]T_4 = 32[/tex]
Required
Calculate the second term
First, we need to write out the formula to calculate the nth term of a GP
[tex]T_n = ar^{n-1}[/tex]
For first term: Tn = 500 and n = 1
[tex]500 = ar^{1-1}[/tex]
[tex]500 = ar^{0}[/tex]
[tex]500 = a[/tex]
[tex]a = 500[/tex]
For fought term: Tn = 32 and n = 4
[tex]32 = ar^{4-1}[/tex]
[tex]32 = ar^3[/tex]
Substitute 500 for a
[tex]32 = 500 * r^3[/tex]
Make r^3 the subject
[tex]r^3 = \frac{32}{500}[/tex]
[tex]r^3 = 0.064[/tex]
Take cube roots
[tex]\sqrt[3]{r^3} = \sqrt[3]{0.064}[/tex]
[tex]r = \sqrt[3]{0.064}[/tex]
[tex]r = 0.4[/tex]
Using: [tex]T_n = ar^{n-1}[/tex]
[tex]n = 2[/tex] [tex]r = 0.4[/tex] and [tex]a = 500[/tex]
[tex]T_{2} = 500 * 0.4^{2-1}[/tex]
[tex]T_{2} = 500 * 0.4^1[/tex]
[tex]T_{2} = 500 * 0.4[/tex]
[tex]T_{2} = 200[/tex]
Hence, the second term is 200
Please help my cousin do this. She isn't that bright in math.
Answer:
$4.8 for sugar and $25 for butter.
Step-by-step explanation:
LM has the endpoints l at -5 and m to -9 .to find the point x so that x divideds the directed line segments LM in a 2:3 ratio
Answer:
The value of point x is 3/5 .
Step-by-step explanation:
Sally made 4 1/2 pounds of trail mix. If she puts 1 1/8 pounds into each bag, how many bags can Sally fill?
Write your answer as a fraction or as a whole or mixed number.
Answer:
The answer is 4
Step-by-step explanation:
convert bot fractions into a decimal
4 1/2 = 4.5 1 1/8 = 1.125
4.5 divided by 1.125= 4
The percent of concentration of a certain drug in the bloodstream x hours after the drug is administered is given by K(x) 5x/x^2 + 9. a. Find the time at which the concentration is a maximum. b. Find the maximum concentration.
Given :
The percent of concentration of a certain drug in the bloodstream x hours after the drug is administered is given by [tex]K(x) = \dfrac{5x}{x^2+9}[/tex].
To Find :
Find the time at which the concentration is a maximum. b. Find the maximum concentration.
Solution :
For maximum value of x, K'(x) = 0.
[tex]K'(x) = \dfrac{5(x^2+9)- 5x(2x)}{(x^2+9)^2}=0\\\\5x^2+45-10x^2=0\\\\5x^2 = 45\\\\x = \pm 3[/tex]
Since, time cannot be negative, so ignoring x = -3 .
Putting value of x = 3, we get, K(3) = 15/( 9 + 9) = 5/6
Therefore, maximum value drug in bloodstream is 5/6 at time x = 3 units.
Hence, this is the required solution.
Angle measures and segment lengths. Algebra Find the value of each variable.
Answer:
The value of x is 50
Step-by-step explanation:
A secant is a line that intersects a circle in exactly two points. When two secants intersect outside a circle then the measure of the angle formed between them is one-half the positive difference of the measures of the intercepted arcsIn the given figure
∵ Two secants intersected outside the circle
∵ The measures of the intercepted arcs are 30° and 130°
∵ x is the measure of the angle formed between them
→ By using the fact above
∴ x = [tex]\frac{1}{2}[/tex] (130 - 30)
∴ x = [tex]\frac{1}{2}[/tex] (100)
∴ x = 50
∴ The value of x is 50
If the length of a rectangular playground is represented by the expression 2x - 3, and the width is represented by 5x + 9, what expression represents the area of the playground. Leave your answer in standard form. Show all work.
Answer:
The expression for area of rectangle in standard form is: [tex]10x^2+3x-27[/tex]
Step-by-step explanation:
The area of rectangle is given by:
[tex]Area = Length * Width[/tex]
Here, in the question, we are given length and width of the rectangle
Length = 2x-3
Width = 5x+9
The area of the rectangle will be:
[tex]Area = (2x-3)(5x+9)\\= 2x(5x+9)-3(5x+9)\\= 10x^2+18x-15x-27\\= 10x^2+3x-27[/tex]
Hence,
The expression for area of rectangle in standard form is: [tex]10x^2+3x-27[/tex]
Kelly wants to know the actual value of a house that she wants to buy. What should she do?
A.
ask a home inspector to check the house
B.
arrange for a residential survey
C.
get a real–estate appraisal
Answer:
Its real estate appraisal
Step-by-step explanation:
For plato users
Betty took her two daughters out to lunch. Betty's meal was $15.50
and her daughter's meals were $13.45 and $16.75. If Betty is going
to leave a 20% tip, what is the total amount of the meal?
Answer:
$9.14
Step-by-step explanation:
$15.50 + $13.45 + $16.75 = $45.70
x 20%
45.70 100% Cross multiply
45.70 x 20 = 914
914 divided by 100 = 9.14
please help me solve this question: Graph x < 1
Answer:
Put an open circle over the 1 to the right of 0. The arrow should point all the way to -5 or the 5 to the left of 0.
Step-by-step explanation:
In order to solve this, we know that x is less than one. That means that we need to circle to be over the 1, since it is the only known number in this inequality.
Since the phrase "less than" means that x cannot be more than 1, we know that in order to find the value of "x", then we need an amount lower than one, therefore, we move to the left.
Jen paid 26 cents for a mini bag of candy.She bought 4 bags of candy for herself and a friend.How much will she pay for the candy?
Answer: 1.04 I think
Step-by-step explanation:
Answer:
1.04
Step-by-step explanation:
26x4=104 and I put the decimal point in.
Jimmy scored 49 goals in soccer this season. Tommy scored 7 times fewer goals. how many goals did Tommy score
The function f(x) is shown on the graph
Answer:
what I need more information to answer your question what is the question and show me the graph please
Ryanne is 14. Her brother’s age is three more than half her age. How old is her brother?
Answer:
Her brother is 10 years old
Step-by-step explanation:
14 ÷ 2 = 7
7 + 3 = 10
The answer is 10
GIVING OUT BRAINLIST ASAP
The Spanish Club sells hot pretzels as a fundraiser. The pretzels normally sold for $2.00, but near the end of the sale the price was reduced by 25% How much is the price of the pretzel being reduced by? Round your answer to the nearest cent (hundredths place)
Answer: 1.50
Step-by-step explanation:
Answer
25% of 2.00$ is 50 cents
Step-by-step explanation:
Which is the same as dividing a number by 10?
A, Move the decimal one place to the left.
B, Move the decimal one place to the right.
C, Move the decimal two places to the left.
D, Move the decimal two places to the right.
Answer:
A is the answer
Step-by-step explanation:
Anytime a number is being divided by 10 it moves to the left creating a decimal.Example : 5÷10 = 0.5 , 500÷10 = 50
Anytime a number is being multiplied by 10 the number increases with a 0. Example : 5 × 10 =50
I hope this helped
Answer:
A
Step-by-step explanation:
When it comes to division, we usually move to the left, but multiplication is to the right. Then it is division by 10, which has only one zero, so we move once to the left.
Find the sum 1 4/5 and 3 2/3
Answer:
82/15 but you can also write it as 5 7/15
Step-by-step explanation:
1 4/5= 27/15 3 2/3=55/15
27/15+55/15= 82/15
82/15 = 5 7/15
Find the slope of the graph below.
Answer:
m=4
Step-by-step explanation:
tgx=4/1
=4
PLEASE HELP ME WITH ME MATH In a survey of 3500 people who owned a certain type of car, 1750 said they would buy that type of car again. What percent of the people surveyed were satisfied with the car?
Answer:
50%
Step-by-step explanation:
3500 divided by 1750 is 2 which is equal to 50%
simplify the following square root √ -1 =
Answer:
1 .
because sqare root of -1= 1
Is this a linear pair? Does it share a common side?
Answer:
Yes, Yes
Step-by-step explanation:
what weight of flowers will each person get if 3 people share 1/3 lb of flower equally??
Answer:
Personally, I think 1/9 lb.
<Plis choose me as brainliest!>
Carmen returned a bicycle to Earl's Bike Shop. The sales receipt showed a total paid price of $\$211.86$, including the $7\%$ sales tax. What was the cost of the bicycle without the sales tax?
Answer:
$198
Step-by-step explanation:
Given that:
Sales price on the sales receipt (including the sales tax) = $211.86
Sales tax = 7%
To find:
The cost of the bicycle without the sales tax = ?
Solution:
First of all, we will have to let the cost of bicycle without the sales tax.
Let the cost of bicycle without the sales tax = $[tex]x[/tex]
Cost of bicycle without the sales tax and with sales tax is given as equal to $211.86.
Writing the equation as per question statement:
[tex]x+x\times 7\%=\$211.86\\\Rightarrow \dfrac{107}{100}x=\$211.86\\\Rightarrow x=\dfrac{21186}{107}\\\Rightarrow \bold{x = \$198}[/tex]
Therefore, the cost of bicycle without the sales tax = $198
Solve the formula 5x + 2y = 19 for y
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[tex]5x + 2y = 19[/tex]
Subtract sides 5x
[tex] - 5x + 5x + 2y = - 5x + 19[/tex]
[tex]2y = - 5x + 19[/tex]
Divide sides by 2
[tex] \frac{2y}{2} = \frac{ - 5x + 19}{2} \\ [/tex]
[tex]y = \frac{ - 5x}{2} + \frac{19}{2} \\ [/tex]
[tex]y = - \frac{5}{2} x + \frac{19}{2} \\ [/tex]
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The solution of the equation 5x + 2y = 19 for the value of y is y = (-5 / 2)x + ( 19 / 2).
What is an expression?
Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
Given expression is 5x + 2y = 19. The value of y will be calculated as:-
5x + 2y = 19
2y = 19 - 5x
y = ( 19 / 2 ) - ( 5x / 2 )
Therefore, the solution of the equation 5x + 2y = 19 for the value of y is y = (-5 / 2)x + ( 19 / 2).
To know more about an expression follow
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Brielle’s piggy bank has all nickels and dimes. The total value of the money in her piggy bank is $7.80. If Brielle
has 66 nickels, write and solve a linear equation to find the number of dimes she has.
66*0.5=3.30
7.80-3.30=4.50
4.50/0.10=45
ANSWER: 45 dimes
Multiply 1 4/5 * 1 ???
Answer:
9/5 or 1 4/5
Step-by-step explanation:
You’re welcome :)
Answer:
your answer will come to be 1.8
Geometry: Express the area of each figure as a monomial. I need help with this, anyone?
Answer:
answer 28ab³ I think maybe
The area of the right-angled triangle is represented as the monomial [tex]12a^3b^4[/tex].
Here,
The formula to calculate the area of a right-angled triangle is:
Area = (1/2) * base * height
In this case, the right-angled triangle has a height of [tex]6ab^3[/tex] and a base of [tex]4a^2b[/tex].
Now, let's substitute these values into the formula:
Area = [tex](1/2) * 4a^2b * 6ab^3[/tex]
Now, simplify the expression:
Area = [tex]2 * a^2b * 6ab^3[/tex]
To find the monomial representation, multiply the coefficients and add the exponents of like terms:
Area = [tex]12a^{(2+1)}b^{(1+3)[/tex]
Finally, simplify the exponents:
Area = [tex]12a^3b^4[/tex]
So, the area of the right-angled triangle is represented as the monomial [tex]12a^3b^4[/tex].
To learn more on triangle area click:
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Will mark as brainliest if correct! (#14)
Answer:
B and D
Step-by-step explanation:
To find the percentage, you divide Martin's correct answers by the total number of questions, then multiply the result by 100.
To find the fraction, it's correct answers/total questions.
Answer:
you should get your answer to be ,B and D
Find n and r 10 points
Answer:
i think i can see the picture
Step-by-step explanation:
Math unit rate can someone please help me
Answer: All I know is C is one of them. I’m trying lol
Step-by-step explanation:
Find the length of segment QA when Q(-7,10) and A(3,4).
Answer:
The length of segment QA when Q(-7,10) and A(3,4) is √136 or 11.66 units
Step-by-step explanation:
Given points are:
Q(-7,10) and A(3,4)
Here
[tex](x_1,y_1) = (-7,10)\\(x_2,y_2) =(3,4)[/tex]
The distance between two points is the length of the segment formed by those two points. The distance between 2 points is given by:
[tex]d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Putting the values
[tex]d = \sqrt{(3-(-7))^2+(4-10)^2}\\d = \sqrt{(3+7)^2+(-6)^2}\\d = \sqrt{(10)^2+(-6)^2}\\d = \sqrt{100+36}\\d = \sqrt{136}\\d= 11.66\ units[/tex]
Hence,
The length of segment QA when Q(-7,10) and A(3,4) is √136 or 11.66 units