Answer:
7629.39453125
Step-by-step explanation:
The formula for the n-th term is:
[tex]k_n = \frac{5^{n-1}}{2^{n-2}}[/tex]
So:
[tex]k_{10} = \frac{5^9}{2^8}[/tex] = 1953125 / 256 = 7629.39453125
Answer:
7629.395 correct answer
Solve the system below.
y = x2
y = –2x + 15
Answer:
since,
y = 2x and y = –2x + 15
then,
2x = –2x + 15
or, 4x = 15
or, x = 15/4
or, x = 3.75
Also,
y= 2x
= 2*3.75
= 7.5
Hope it helped
All the best!!
Answer:
Step-by-step explanation:
[tex]x^{2} = -2x^{2} +15[/tex]
add [tex]2x^{2}[/tex] to both sides
[tex]3x^{2} = 15[/tex]
divide each side by 3
[tex]x^{2} =5[/tex]
square root each side [tex]\sqrt{x^2} =\sqrt{5}[/tex]
[tex]x= 2.23606794[/tex] or rounded to the nearest hundredth [tex]x=2.24[/tex] or x = ±[tex]\sqrt{5}[/tex]
Leslie purchased a new bar of soap. Three days after she originally used
the soap, she was curious how much soap per day she was using. She
decide to weigh her soap and that the bar was 103 grams. Four day later
she re-measured the same bar of sop and record a weight of 80 grams.
Assuming that Leslie uses the same amount of soap daily (and that she
used soap daily), write an equation that shows that amount of soap
remaining after d days of use. *Hint: slope intercept form and you will
need the slope formula
Answer:
The equation is:
y= 103 --23d
Step-by-step explanation:
The initial amount was 103 grams.
After one day of use the remaining amount of soap was 80 grams.
So the amount of time he spent in one day was:
Each day Leslie spends 23 grams of soap.
if d represents the number of days elapsed then, the amount of soap "y" that Leslie spends after days is:
y= 103 --23d
need help please thanks
Answer:
6x-y = -18
Step-by-step explanation:
Rewrite the equation by completing the square.
x^2 - 4x + 3 = 0
Answer:
the answer would be x=3,1
Answer:
After completing the square, we can say:
(x - 2)² = 1
If we solve for x, this tells us that x has a value of both 1 and 3.
Step-by-step explanation:
Given:
x² - 4x + 3 = 0
We can complete the square by adding 1 to both sides:
x² - 4x + 4 = 1
(x - 2)² = 1
We can then solve for x by saying:
(x - 2)² = 1
x - 2 = √1
x = 2 ± 1
x = 1, 3
Whats the opposite of 8x
Answer:
-8x
Step-by-step explanation:
Answer:
x/8
Step-by-step explanation:
To find the inverse, interchange the variables and solve for y.
I need help with this question
Answer:
a) 2.5 x 10^5
b) 8.1 x 10^4
c) 9.06 x 10^8
d) 1.034 x 10^10
Decide whether n = 9 is a solution to
the equation 2+n=7. Write yes or no
Answer:
No. The answer would be n=5
Step-by-step explanation:
You have to subtract the 2 from both sides to cancel it out on the left side. so you would be doing 7-2, not 7+2
- El resultado de la conversión de 350 km/h a m/s es:
A. 1.26x10 m/s
B. 1260 m/s
C. 97.22 m/s
Answer:
350 kilómetros por hora son 97,2222 metros por segundo ;)
The result of converting 350 km/h to meter per second is 97.22 m/s.
To convert from kilometers per hour (km/h) to meters per second (m/s), you need to apply the conversion factor.
The conversion factor for this conversion is 1 km/h = 0.2778 m/s.
To convert 350 km/h to m/s, multiply 350 by the conversion factor:
350 km/h×0.2778 m/s
= 97.22 m/s
Therefore, the result of converting 350 km/h to m/s is approximately 97.22 m/s.
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Classify the polynomial according to its degree and number of terms.
9
constant monomial
sixth-degree monomial
linear binomial
sixth-degree binomial
Answer:
constant monomial
Step-by-step explanation:
The polynomial, 9, has 1 term and its degree is 0. Therefore, the polynomial is a constant monomial.
The given expression is a constant monomial. Therefore, option A is the correct answer.
What is the polynomial?A polynomial is a type of algebraic expression in which the exponents of all variables should be a whole number. The exponents of the variables in any polynomial have to be a non-negative integer. A polynomial comprises constants and variables, but we cannot perform division operations by a variable in polynomials.
Here given expression is 9.
A constant monomial is a term with only a constant number. There is no variable in a constant monomial.
So, 9 is a constant monomial.
The given expression is a constant monomial. Therefore, option A is the correct answer.
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(-3a^2 + 4a -5 +6a^3) + (-3a + 4 + 10a^2)
Answer
=6a3+7a2+a−1
Step-by-step explanation:
Let's simplify step-by-step.
−3a2+4a−5+6a3−3a+4+10a2
=−3a2+4a+−5+6a3+−3a+4+10a2
Combine Like Terms:
=−3a2+4a+−5+6a3+−3a+4+10a2
=(6a3)+(−3a2+10a2)+(4a+−3a)+(−5+4)
=6a3+7a2+a+−1
help with question 1
Answer:
si=Ptr/100
and di solution
I need help solving this practice question solve for x
Diamond measured the base of a soda can and the diameter was 4 inches. What is the circumference of the bottom of the can?
a
.9 inches
b
25.1 inches
c
12.6 inches
d
50.2 inches
Answer:
c)12.6 inches
the ans in cm is 31.9 cm
Deborah spent $70 on food and clothes. She spent $26 more on clothes than on food. On your worksheet, solve the question and write your answer below. How much did she spend on food and how much did she spend on clothes?
Answer:
She spent $22 on food, and $48 on clothes.
Step-by-step explanation:
Let's define the variables:
C = amount of money that Deborah spent on clothes
F = amount of money that Deborah spent on food.
We know that she spent in total $70, then we have the equation:
F + C = $70
And we know that she spent $26 more on clothes than on food, then we have the equation:
C = F + $26
This means that we have a system of equations:
F + C = $70
C = F + $26
To solve these type of systems, we usually start by isolating one variable in one of the equations. Here we can see that C is already isolated in the second equation.
Now we can replace it in the first equation.
F + (F + $26) = $70
Now we can solve this for F.
2*F + $26 = $70
2*F = $70 - $26 = $44
F = $44/2 = $22
So she spent $22 on food.
Now we can use the equation:
C = F + $26
To find how much she spent on clothes, where we need to replace F by the value we found.
C = $22 + $26 = $48
She spent $48 on clothes.
A type of fish for your aquarium costs $9 each. You can spend at most $45. How many
of these fish can you buy? Write an inequality to model the problem. Then solve the
inequality to find the number of fish.
what is the length of line segment FH?
Match each of the equations with their corresponding graph
Answer:
equation a and graph E
equation b and graph a
equation c and graph b
equation d and graph D
Step-by-step explanation:
SOLVE
[tex](2 x - 4) {?}^{2} [/tex]
Answer:
4x² - 16.
Step-by-step explanation:
(2x-4)² =?
(2x-4)² = (2x)² - (4)²
= 4x² - 16.
Answer:
x = 2
Step-by-step explanation:
To solve , equate to zero, that is
(2x - 4)² = 0, so
2x - 4 = 0 ( add 4 to both sides )
2x = 4 ( divide both sides by 2 )
x = 2
which of these shapes are paralellograms? choose all the correct anwsers
These are all the shapes
Pls help I have no idea
Answer:
Step-by-step explanation:
If you connect the chord ends to the center you will see that you form a right triangle where:
[tex]r^2=16^2+\left(\frac{9x-15}{2}\right)^2\ and\ r^2=16^2+\left(\frac{7x+5}{2}\right)^2\\ \\
\text{From these equations we can see}\\ \\ (9x-15)^2=(7x+5)^2\\ \\ 9x-15=7x+5\\ \\ 2x=20\\ \\ x=10[/tex]
Help I will be marking brainliest!!!!
A. 119.92
B. 80.49
C. 113.68
D. 175.49
===========================================================
Work Shown:
Because segment GI is parallel to segment TA, this means triangle VGI is similar to triangle VTA.
From that we can set up the proportion
VG/VT = VI/VA
which breaks down into
VG/(VG+GT) = VI/(VI+IA)
Let's plug in the given values. Let x be the length of segment IA.
Let's solve for x
VG/(VG+GT) = VI/(VI+IA)
72/(72+61) = 95/(95+x)
72/133 = 95/(95+x)
72(95+x) = 133*95 ......... cross multiply
6840+72x = 12635
72x = 12635-6840
72x = 5795
x = 5795/72
x = 80.4861111111111 ......... which is approximate
x = 80.49 ......... rounding to the nearest hundredth
The length of IA is roughly 80.49 units. This is not the final answer. The fact that 80.49 is listed as one of the answer choices seems to imply your teacher put it as a trick answer.
Since we found IA = 80.49, this means,
VA = VI + IA
VA = 95 + 80.49
VA = 175.49
This is the length of segment VA, which is the same as segment AV.
-----------------------------
Here's a slightly similar way to solve:
VT = VG+GT = 72+61 = 133
VG/VT = VI/VA
72/133 = 95/x
72x = 133*95
72x = 12635
x = 12635/72
x = 175.486111111111
x = 175.49 is the approximate length of segment AV.
Find the missing dimension of a triangle with a base of 14.2 yd and a area of 63.9 yd
Answer:
7.78
Step-by-step explanation:
first you need to divide both numbersthen you nullify the sumyv6bgu6g6ogi5 bakaThe masses of four vehicles and the net forces acting on them as they enter a highway are recorded in the table below. Vehicle Mass (kg) Force (N) Sedan 1400 5250 SUV 1900 5250 Truck 2100 5250 RV 2500 5250 Which vehicle has the greatest acceleration as it enters the highway?
Answer:
if you use Newton's 2nd rule:
F = m* a (force = mass * acceleration)
you can rearrange the terms to:
a = F/m (acceleration = Force/mass)
which will let you solve for acceleration.
7a + 4- 2a = 7a +- 2a + 4=
. 5a
. 0
. -5
. 5a+4
Step-by-step explanation:
0 would be your answer
first you combine like terms and get 5a+4 on each side then you have to solve the equation.
An international company has 23,200 employees in one country. If this represents 26.7% of the company's employees, how many employees does it have in total?
Round your answer to the nearest whole number.
Answer:
Total number of employees = 86,891 employees
Step-by-step explanation:
Let
x = total number of employees
26.7% of x = 23,200
26.7/100 * x = 23,200
0.267 * x = 23,200
0.267x = 23,200
x = 23,200/0.267
x = 86,891.385767790
approximately 86,891 employees
Total number of employees = 86,891 employees
Square root of -8 multiplied by the square root of -32
The midpoint of RS is point T. What are the coordinates
of point S?
5
4
3
R (-2,3)
01 - 3
0 1 )
2
1
45 -4 -3 -2 -1
2
3
4
5
X
O (8,4)
(10,-7)
-2
T(4-2)
-3
Answer:
( 10,-7)
i didn't understand what u wrote in choice
The coordinates of the point S of the line RS having midpoint T are found to be (10, -7).
What is mid point?In geometry, the midpoint is the middle point of a line segment. It is equidistant from both endpoints, and it is the centroid both of the segment and of the endpoints. It bisects the segment.
here, we have,
The points that are given to us are R(-2,3) and T(4, -2).
The point T is the mid point of the line segment RS.
If A(a, b) and B(c, d) are the two points then the mid point M of the two points will be,
M = ((a+c)/2), ((b+d/2))
So, using the above modified form of section formula we can find the coordinates of the point S.
Assuming point S to be x and y.
So, putting all the values,
(4, -2) = ((-2+x)/2), ((3+y/2))
Now, solving further, we get,
-1+x/2 = 4
-2+x = 8
x = 10
And,
3 + y = -4
y = -7
So, the coordinates are (10, -7).
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A light bulb consumes 11700 watt-hours in 3 days and 6 hours. How many watt hours does it consume per day?
Answer:
3600 watt-hours consumed per day.
Step-by-step explanation:
First we'll want to find how many hours are in 3 days and 6 hours.
3 x 24 = 72 + 6 = 78
78 hours is 3 days and 6 hours.
We then divide 11700 by 78 to find out how many watt-hours it will consume per hour.
11700 / 78 = 150
Now that we know how many watt-hours it will consume per hour, we can multiply it by 24 to find out how many it will consume in a day.
150 x 24 = 3600
(6,3) -> (-3/2x , 2/3y) -> (x + 6 , y - 4) -> (2/3x , -3/2y)
After these series of transformations, what will the final point be?
Answer:
Please refer to the attached image.
The square below has an area of x^2-10x+25 square meters
what expression represents the length of one side of the square?
Answer:
Answer: Expression that represents the length of one side of the square is x - 5.