Answer: 71 percent
Step-by-step explanation:
64-21=43
43/64=.71
Find the first, fourth, and tenth terms of the arithmetic sequence described by the given rule.
A(n) = 5 + (n - 1) 1/6
Answer:
A(1) = 5
A(4) = 5.5
A(10) = 6.5
Step-by-step explanation:
An nth term formula works, whether for a arithmetic or geometric sequence, can be used to find any term in a sequence;
Simply substitute the number that corresponds with the position of the term you want to find and the formula will give the value of that term;
So:
A(1) = 5 + ⅙((1) - 1) = 5
A(4) = 5 + ⅙((4) - 1) = 5.5
A(10) = 5 + ⅙((10) - 1) = 6.5
3x+4y=12 find x-intercept and y- intercept
Answer:
x-intercept(s): ( 4 , 0 )
y-intercept(s): ( 0 , 3 )
x = 4
y = 3
Step-by-step explanation:
To find the x-intercept, substitute in 0 for y and solve for x. To find the y-intercept, substitute in 0 for x and solve for y.
x-intercept(s): ( 4 , 0 )
y-intercept(s): ( 0 , 3 )
slope = -0.750
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What is an equation of a line that passes through (0,3) and (2,4)
Answer:
y=1/2x+3
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(4-3)/(2-0)
m=1/2
y-y1=m(x-x1)
y-3=1/2(x-0)
y=1/2(x)+3
y=1/2x+3
An equation of a line through (-12, -12) which is parallel to the line y = 3 x + 2 has slope:
Answer:
3. Parallel lines have the same slope but different y-intercepts, so they never intercept each other.
Step-by-step explanation:
Here ya go bestie. Your favorite :D
Answer:
the answer is d
Step-by-step explanation:
Tell if each statement about the equations y = log5x and y = 5% are true or false.
Explain your answers.
a) The graphs of the equations are symmetric to each other over line y = 0.
b) The equation y = 5* is the exponential form of y = log5x.
c) The functions are not inverses of each other.
d) The equations are symmetric over the line y = x.
Answer:
a) false b) false c) false d) true
Step-by-step explanation:
Answer:
a) false b) false c) false d) true
Step-by-step explanation:
The volume of a sphere is decreasing at a constant rate of 23 cubic centimeters per
second. At the instant when the volume of the sphere is 7 cubic centimeters, what is
the rate of change of the radius? The volume of a sphere can be found with the
equation V 28. Round your answer to three decimal places.
The rate of change of the radius is 1.32cm²/s
The formula for calculating the volume of a sphere is expressed as:
[tex]v = \frac{4}{3} \pi r^3[/tex]The rate of change of the volume is given as:
[tex]\frac{dv}{dt} = \frac{dv}{dr} \cdot \frac{dr}{dt} \\\frac{dv}{dt} = =4 \pi r^2 \cdot \frac{dr}{dt} \\[/tex]Given the following paramters;
dv/dt = 23cm³/s
Volume = 7cm³
Get the radius of the sphere:
7 = 4/3 πr³\
21 = 4πr³
r³ = 21/4π
r = 1.18 cm
Get the rate of change of the radius to have:
[tex]23 = 4(3.14)(1.18)^2 \frac{dr}{dt} \\23 = 17.48 \frac{dr}{dt} \\\frac{dr}{dt}=1.32cm^2/s[/tex]
Hence the rate of change of the radius is 1.32cm²/s
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What is the coefficient in this expression? (34mn)
34
3
n
4
The coefficient in this expression is 34.
The first option is the correct answer.
What are variables and coefficients?The variable can have any value. That is, you can change the value of the variable. The value of the coefficient does not change, but changes in the value of the variable can change the value of the term containing the variable and the coefficient.
In formulas, coefficients are constants that are multiplied by variables. Consider the following equation: 3 x 2 + 5x-3 = 0. ax3 + x 2 = z. The values 3 and 5 in the first equation are the coefficients of the variable x.
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The length of a rectangle is increasing at a rate of 9 cm/s and its width is increasing at a rate of 7 cm/s. When the length is 13 cm and the width is 10 cm, how fast is the area of the rectangle increasing?
Answer:
195 square centimeters per second
Step-by-step explanation:
Area growth rate = (9*10) cm^2 per s + (7*15) cm^2 per s = 195 square centimeters per second
maths question algebra
Answer:
x = ± [tex]\sqrt{\frac{7y+8}{5} }[/tex]
Step-by-step explanation:
5x² - 3y = 4y + 8 ( add 3y to both sides )
5x² = 7y + 8 ( divide both sides by 5 )
x² = [tex]\frac{7y+8}{5}[/tex] ( take square root of both sides )
x = ± [tex]\sqrt{\frac{7y+8}{5} }[/tex]
-9/12-(-1/3) A 8/9. B. -8/9. C 5/12 D -5/12
Answer:
-5/12/ D
Step-by-step explanation:
-9/12 -(-1/3)
turn 1/3 into a fraction with a similar denominator
-9/12-(-4/12)
-(- = addition (+)
-9+4= -5
-5/12
Read the paragraph. [1] The 1992 Olympic Games took place in Barcelona, Spain. [2] This marked the first year that professional basketball players were permitted to represent their countries in the games. [3] Previously, only amateur players were allowed to participate such as college athletes. [4] The US squad was called “The Dream Team” because it consisted of some of the best players in the history of the game, including Michael Jordan, Magic Johnson, and Larry Bird. Which sentence should be revised to improve this paragraph’s sentence fluency?Which are correct representations of the inequality –3(2x – 5) < 5(2 – x)? Select two options. x < 5 –6x – 5 < 10 – x –6x + 15 < 10 – 5x A number line from negative 3 to 3 in increments of 1. An open circle is at 5 and a bold line starts at 5 and is pointing to the right. A number line from negative 3 to 3 in increments of 1. An open circle is at negative 5 and a bold line starts at negative 5 and is pointing to the left.
The sentence that needs to be revised to improve the paragraph's sentence fluency is: sentence 3.
The two correct representations for the inequality can be -6x + 15 < 10 - 5x OR x < 5
In a grammatical context, the correct usage of punctuation marks and active voice is required and needed to be taken into consideration by the writer for effective communication to the reader.
The correct form of the sentence in sentence 3 should be:
"Previously, only amateur players, like college athletes, were allowed to participate."The inequality given is -3(2x - 5) < 5(2 - x). Using the simple algebraic method to solve the given inequality, we have:
= -3(2x - 5) < 5(2 - x)
= -6x + 15 < 10 - 5x
By collecting the like terms, we have:
= 15 - 10 < -5x + 6x
= x < 5
Therefore, the two correct representations for the inequality can be -6x + 15 < 10 - 5x OR x < 5
NOTE: The third question is a repetition of an incomplete question.
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Encuentra las dimensiones de un rectangulo cuyo perímetro es 26 mts y el área es 40m2
Answer:
Las dimensiones del rectángulo son:
lado corto: 5 cm
lado largo: 8 cm
Step-by-step explanation:
Consideraciones:
El perímetro de un rectángulo se calcula así:
p = 2(lado corto + lado largo)
El área de un rectángulo se calcula así:
a = lado largo * lado largo
Planteamiento:
26 = 2(a+b)
40 = a*b
a = lado largo
b = lado corto
Desarrollo:
de la primer ecuación del planteamiento:
26/2 = a+b
13 = a+b
13-a = b
sustituyendo este último valor en la segunda formula del planteamiento:
40 = a(13-a)
40 = 13*a + a*-a
40 = 13a - a²
-a² + 13a - 40 = 0
a = {-13±√((13²)-(4*-1*-40))} / (2*-1)
a = {-13±√(169-160)} / -2
a = {-13±√9} / -2
a = {-13±3} / -2
a₁ = {-13-3} / -2 = -16 / -2 = 8
a₂ = {-13+3{ / -2 = -10 / -2 = 5
- 8i - 7i
A. - 15i
B. 15i
C.-15 l^ 2
D. 15i ^ 2
tell me numbersin order
Part 1:-
cost to park of a day is= $25+$43+$61+$79 =$208and the hourly rate to a paddle boat =208÷24=$8.6 per hour______________________
What will Lin pay if she rents a paddleboat for 3.5 hours and splits the total cost with a friend? Completethe explanation.The total cost to rent the boat will be
3.5 hours x $ 12 per hour + $ 5 =$47
if she spilt cost with a friend ,they will each pay$47 ÷ 2= $ 23.5
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Arwen created a copy of a certain line segment. What do you know is true about these two line segments?
1. The measure of the original line segment will be twice the measure of the copy.
2. The measure of the original line segment will be half the measure of the copy.
3. The endpoints will have the same letters.
4. They are congruent.
A copy of a line segment will have the same measure or length as the segment.
The true statement is (4) They are congruent.
From the question, we understand that a copy of the line segment is created.
This means that the new segment has the exact property as the original line segment.
Hence, both lines are congruent, and the true statement is (d)
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th
then
term of the sequence
Write an
explicit formula for
an)
19, 24, 29,
Answer:
tn=a+(n-1)d
Step-by-step explanation:
t1=19
t2=24
t3=29
now,
d=t2-t1=24-19=5
=t3-t2=29-24=5
then,
tn=a+(n-1)d
=19+(n-1)5
=5n+14
Christian buys a two-gallon bottle of juice for $18.16.
1 gallon = 4 quarts
1 quart = 2 pints
1 pint = 2 cups
1 cup = 8 fluid ounce
How many fluid ounces of juice did Christian buy?
Answer:
256 fluid ounces
Step-by-step explanation:
2 gallons = 8 quarts
8 quarts = 16 pints
16 pints = 32 cups
32 cups = 256 fluid ounces
Which table shows a proportional relationship?x12345y47101316r510152025s12345b03579c0481216p13579q68101214
Answer: 7678687nx09
dad
Step-by-step explanation:
can someone help me do this
Answer:
[tex]23^{\tfrac 12} = \sqrt{23}~~~~;\left[a^{\tfrac 12} = \sqrt a \right][/tex]
Step-by-step explanation:
Can anyone please answer number 6.
Answer:
Step-by-step explanation:
Exact Form:
2
√
2
+
3
√
5
−
2
2
2
+
3
5
-
2
Decimal Form:
7.53663105
…
Answer:
28
Step-by-step explanation:
2(√2+3)² -3(√2+3*√2-2)
expand collect like terms
2(2+6√2+9)-3(4√2-2)
2(2+6√2+9)-3(4√2-2)
calculate remove parentheses
2(11+6√2)-12√2+6
remove parentheses
22+12√2-12√2+6
remove opposite and calculate
solution= *28*
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The length of a retangle garden is 4 yards more than its width The area of the garden is 60 square yards Find the with of the garden
The slope of the line that passes through the points ( 2 , 3 ) a n d ( 5 , 9 ) is?
decrease eight times a number by twice the same number
Answer:
6x
Step-by-step explanation:
8x-2x
Solve -4 b + 2 = 18.
Answer:
-4
Step-by-step explanation:
Move all terms that don't include B to the right and solve
WILL MARK BRAINLIST PLS ANSWER ITS VERY IMPORTANT
Answer:
Step-by-step explanation:
a) 4th
b) 300
c) 2nd and 5th
Determine the value of the given expression -3 1/3×1 5/6
Answer: 6
Step-by-step explanation:
3
1
a−1−
2
1
b
=
3
1
⋅12−1−
2
1
⋅6 Replace a with 12 and b with 6.
=4−1−3
=0
Question 34, the answer is C. I just need the working. Tysm
Answer:
C
Step-by-step explanation:
∠ ABC = 90° ( angle in a semicircle )
Using the cosine ratio in right triangle ABC and the exact value
cos30° = [tex]\frac{\sqrt{3} }{2}[/tex] , then
cos30° = [tex]\frac{adjacent }{hypotenuse}[/tex] = [tex]\frac{AB}{AC}[/tex] = [tex]\frac{10}{AC}[/tex] = [tex]\frac{\sqrt{3} }{2}[/tex] ( cross- multiply )
AC × [tex]\sqrt{3}[/tex] = 20 ( divide both sides by [tex]\sqrt{3}[/tex] )
AC = [tex]\frac{20}{\sqrt{3} }[/tex] × [tex]\frac{\sqrt{3} }{\sqrt{3} }[/tex] ( rationalising denominator )
AC = [tex]\frac{20\sqrt{3} }{3}[/tex]
radius AO = [tex]\frac{1}{2}[/tex] AC = [tex]\frac{1}{2}[/tex] × [tex]\frac{20\sqrt{3} }{3}[/tex] = [tex]\frac{10\sqrt{3} }{3}[/tex] → C
write an equation in slope-intercept form for a line that goes through (9,-2) and is parallel to y=7x+2
Answer:
y=7x-65
Step-by-step explanation: