Answer: complete the question please
Step-by-step explanation:
How much is a pound/lb? Then do 5.17 divided by (however much is a pound/lb)
What if you quadruple the radius of a circle. What happens to the circumference? Explain using examples.
Step-by-step explanation:
Let's check
Let radius be xCircumference:-
➜2πr
➜2πx
New radius=3xNew Circumference:-
➜2πr
➜2π3x
➜6πx
Taking ratio:-
➜2πx/6πx
➜1/3
➜1:3
Thus,If we quadruple the radius Circumference will also be quadrupled.
The sequence one-sixth, negative two-sevenths, three eighths, negative four ninths, and so on is given.
Part A: Assuming the pattern continues, list the next four terms in the sequence. Show all necessary math work. (4 points)
Part B: Write the explicit equation for f (n) to represent the sequence. Show all necessary math work. (4 points)
Part C: Is the sign of f (53) positive or negative? Justify your reasoning mathematically without determining the value of f (53). (2 points)
A. 5/10, -6/11, 7/12, -8/13
B. f(n) = n/(n+5)
C. Positive
What is a sequence?A sequence is an enumerated group of items in mathematics where repetitions are permitted and order is important. It has members, just like a set does. The length of the sequence is determined by the number of items.
Here, we have
A. From inspection of the sequence, the pattern is:
Add 1 to the numerator of the previous term.
Add 1 to the denominator of the previous term.
Make every other term negative.
Hence, assuming the pattern continues, the next four terms in the sequence will be:
5/10, -6/11, 7/12, -8/13
B. An explicit formula for an arithmetic sequence allows you to find the [tex]n^{th}[/tex] term of the sequence.
f(1) = 1/6
f(2) = -2/7
We can see that the numerator is the position of the term (n) in the sequence. So when n = 1 the numerator is 1, when n = 2 the numerator is 2, etc.
The denominator is 5 more than the position of the term in the sequence. So when n = 1 the denominator is 1 + 5 = 6, and when n = 2 the denominator is 2 + 5 = 7.
We observe that if the numerator (the value of n) is odd then the term is positive, and if the numerator (the value of n) is even then the term is negative.
Hence, the rule for the nth term is:
f(n) = n/(n+5)
If n is odd then f(n) is positive.
If n is even then f(n) is negative.
C. 53 is an odd number.
As the function f(n) is positive when n is odd, the sign of f(53) is positive.
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QUICK PLS I HAVE 8 MINS LEFT
The standard equation of a circle with center (-4, 3) and radius 7 is
Answer:
(x+4)²+(y-3)²=49
Step-by-step explanation:
the coordinate sings are flipped (so a center (a,-b) would look like
(x-a)²+(y+b)
and the radius is the square root of the number
Solve the following equation. Then place the correct number in the box provided 7x-2<10
Answer:
[tex]\displaystyle x < \frac{12}{7}[/tex]
Step-by-step explanation:
This is an inequality, not an equation. Notice the sign is a "less than" sign and not an "equal" sign. You still solve it like a normal equation, however:
[tex]\displaystyle 7x-2 < 10\\\\\rightarrow 7x < 12\\\\\rightarrow x < \frac{12}{7}[/tex]
A worker at a hardware store records the lengths of some pieces of wood in feet. Make a line plot of the data shown below
Answer: Hello the lengths of the pieces of wood is missing but I will provide the format for drawing a line plot which you can now plug in your own values .
answer :
First draw a number line containing all the values in the given data set
Place a dot on top every value contained in the given data set
place as many dots as possible representing the frequency of the value in the given dataset
Step-by-step explanation:
A line plot is simply a method of displaying given data on a number line
steps :
First draw a number line containing all the values in the given data set
Place a dot on top every value contained in the given data set
place as many dots as possible representing the frequency of the value in the given dataset
attached below is an example
What number would you add to both sides of x2 + 7x = 4 to complete the square?!...
Answer:
49/4 is the answer
Step-by-step explanation:
................
Answer:
The number that should be added on both sides is the square of half the coefficient of x. That is (7/2)²
Step-by-step explanation:
If 2x• 3x +(2•3 )x +6x= 648, find x.
Answer:
x = -1 ± √109
Step-by-step explanation:
2x • 3x + (2 • 3)x + 6x = 648
According to PEMDAS (parentheses/exponents | multiplication/division | addition/subtraction), we should solve the parentheses first.
(2 • 3) = 6
Now we have:
2x • 3x + (6)x + 6x = 648
Now let's multiply.
2x • 3x = 6x²
6 • x = 6x
Now we have.
6x² + 6x + 6x = 648
Combine like terms.
6x² + 12x = 648
Let's factor out a 6.
6(x² + 2x) = 648
Divide both sides by 6.
x² + 2x = 108
Let's use completing the square.
Our equation is in a² + bx = c form.
Divide b by 2.
2/2 = 1
Then square it.
1² = 1
Add 1 to both sides.
x² + 2x + 1 = 108 + 1
Simplify.
x² + 2x + 1 = 109
Now we want to factor the left side. A shortcut is just to use b/2.
(x + 1)² = 109
Take the square root of both sides.
x + 1 = ±√109
The square root is as simplified as possible.
Subtract 1 from both sides.
x = -1 ± √109
Hope this helps!
Blake has $17.00 to spend at the grocery store. She is going to buy bags of fruit that cost $4.50 each and one box of crackers that costs $3.50
Darnell and Hector ride their bikes at constant speeds. Darnell leaves Hector's house to bike home. He can bike the 8
miles in 32 minutes. Five minutes after Darnell leaves, Hector realizes that Darnell left his phone. Hector rides to catch
up. He can ride to Darnell's house in 24 minutes. Assuming they bike the same path, will Hector catch up to Darnell
before he gets home?
a. Write the linear equation that represents Darnell's constant speed.
i need this ASAP
Darnell's constant speed, as determined by the solution, is 20 miles per hour.
What is the process of linear algebra?It covers linear transformations more broadly as well as vectors, matrices, and vector spaces. One area of mathematics is linear algebra. In comparison to other areas of mathematics that are frequently driven by innovative ideas and unresolved problems, linear algebra is a discipline that is very well understood.
According to the given information:Distance=8 miles
Time taken is=32 minutes
speed=distance/time
speed=15 miles/hour
Darnel has travelled a distance of 1.5x5/60=0.125 miles in under five minutes.
Hector bicycle speed = distance/time
hector speed of bike= 20 miles/hour
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A necklace contains 36 grams of gold. 72% of the mass of the necklace is gold. What is the mass of the necklace?
Answer:
$45
Step-by-step explanation:
Answer:
50 grams
Step-by-step explanation:
36 grams = 72%
→ Find 1% by dividing both sides by 72
0.5 grams = 1%
→ Times both sides by 100 to find 100%
50 grams = 100%
Can someone tell me the answer and why plss
A, B and C are three sets such that A is a subset of B and B is a subset of C.
Which one of the following statements must always be true?
A) B is a subset of A
B) C is a subset of B
C) C is a subset of A
D) A is a subset of C
Answer:
Step-by-step explanation:
Profit = 22 + x 154 - 6x - 184.75
What is the Simplified equation to quadratic form
WILL MARK BRAINLIEST
Answer:
148x - 162.75
x=1.09966
Step-by-step explanation:
how do you solve this
Answer:
D. The m<4 is 137°
[tex] < 4 = 180 \degree - 43 \degree \\ < 4 = 137 \degree[/tex]
A stockbroker knows from past experience that the probability that a client owns stocks is 0.60 and the probability that a client owns bonds is 0.50. The probability that a client owns stocks if he/she already owns bonds is 0.06. Given that a client owns stock, Calculate the probability (as a decimal) that he/she owns bonds?
Answer:
"0.07" is the appropriate answer.
Step-by-step explanation:
The given values are:
P(Stock),
= 0.60
P(Bond),
= 0.50
P(Bond | Stock),
= 0.06
Now,
The P(Stock | Bond) will be:
⇒ [tex]P(Stock|Bond)= \frac{P(Stock \ and \ Bond)}{P(Bond)}[/tex]
or,
⇒ [tex]P(Stock|Bond)=\frac{P(Bond|Stock).P(Stock)}{P(Bond)}[/tex]
On substituting the given values, we get
⇒ [tex]=\frac{0.06\times 0.60}{0.50}[/tex]
⇒ [tex]=\frac{0.036}{0.50}[/tex]
⇒ [tex]=0.07[/tex]
Jackson spent $22 on a
shirt and $9 for lunch. Later
he spent the rest of his
money on ice cream. If he
started with $35, how much
did he spend on ice cream?
Jake rides his bicycle 6 miles in 3/5
of an hour. At this rate, how many miles could he ride in 3 hours?
Answer:
30 miles
Step-by-step explanation:
Alr so-
You want first divide 3 by 3/5 since well- the question asks how many does he ride in 3 hours
Of course, you'll get the answer 5
Now you want to grab the 6 miles Jake could ride in 3/5 hours and put it in a new equation.
(you'll also want to take the 5 you got from the last equation)
You want to multiply both 6 and 5 which is 30
BOOM!
IN CONCLUSION-
the answer is 30 miles
- 5 3/4 - 3 1/2 = ? Some one help ty!
Answer: the exact answer is 9/4, the mixed number is 2 1/4
Step-by-step explanation:
Which of the following is NOT an example of a special cubic factorization?
O 125w? + 272' = (5w + 3z) (25w? – 15wz + 9z²)
O 21663 – 64g? = (68 – 4g) (3652 + 245g + 16g)
O (7c + 8d) = 343c3 + 1176c-d + 1344cd2 + 512d3
O (51 – 9u)' = (51 – 9u) (2512 – 90tv + 81v-)
Answer:
[tex]the \: forth \: answer \: is \: correct \: answer[/tex]
ENTERING INTERVAL ANSWERS. PLEASE SHOW YOUR WORK!!
The intervals that are equivalent to each inequality are given as follows:
2 < x ≤ 5: (2,5].x > 7: (7, ∞).Which interval represents each inequlity?The interval notation of an inequality of lower bound a and upper bound b is given as follows:
(/[a,b]/).
The closing notation can be in either parenthesis or brackets, as follows:
(: open interval.[: closed interval.For the first interval, 2 < x ≤ 5, it is an open interval at the lower bound of 2 and closed at the upper bound of 5, hence the notation is given as follows:
(2,5].
For the second interval, x > 7, we have that it has only a lower bound of 7, which is open. Hence, the upper bound is of infinity, and an infinite bound is always open, hence the notation is given as follows:
(7, ∞).
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The table shows a linear function. What is the rate of change?
Hours
Pay
1
18
1.5
23
2
28
2.5
33
3
38
Using the regression concept to find the equation and applying derivative, The rate of change is 10.
What do you mean by regression?Regression analysis is a group of statistical procedures used in statistical modeling to determine the associations between a dependent variable and one or more independent variables. The dependant variable's predicted value in basic linear regression is given by the equation = b0 + b1x. In order to minimize the total sum of squared errors, the values of b0 and b1 are derived from the data using the equation line = b0 + b1X.
What do you mean by derivative?The derivative of a function of a real variable in mathematics assesses how sensitively the function's value changes in response to changes in its argument. Calculus's core tool is the derivative.
from the given data,
y= a + bx is our regression line.
a=8 and b =10
y=8+10x is the line.
derivate the line , we get,
[tex]\frac {dy}{dx} = 10[/tex]
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find the area of the rectangle whose length is 16cm and breath is 8cm
Answer:
128cm²
Step-by-step explanation:
Formula to find area of rectangle is l×b
In order to find the area of the rectangle we need to apply that formula
[tex]A =lb[/tex]
[tex]A = 16[/tex]×[tex]8[/tex]
[tex]A = 128[/tex][tex]cm[/tex]²
Hence , the area of the given rectangle is 128cm²
William spends a winter day recording the temperature once every three hours for science class. At 9 am, the temperature was -12.2°F. Between 9am and noon, the temperature rose 16.2°F. Between noon and 3pm, the temperature dropped 9.1°F. Between 3pm and 6pm, the temperature dropped 5°F. What was the temperature at 6pm?
If William spends a winter day recording the temperature once every three hours for science class. If the temperature dropped 9.1°F. Between 3pm and 6pm, the temperature dropped 5°F. The temperature at 6pm is: -11.1°F
How to find the temperature?Between 9am and noon, the temperature rose 16.2°F, so the temperature at noon will be:
Temperature at noon = -12.2 + 16.2
Temperature at noon = 3.0°F
Between noon and 3pm, the temperature dropped 9.1°F, so the temperature at 3pm will be:
Temperature at 3pm = 3.0 - 9.1
Temperature at 3pm = -6.1°F
Between 3pm and 6pm, the temperature dropped 5°F, so the temperature at 6pm was:
Temperature at 6pm =-6.1 - 5
Temperature at 6pm = -11.1°F
Therefore the temperature at 6pm is -11.1°F.
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What's the answer for this question?
This question is way too long
[tex]83 {p}^{3} {q}^{2} {r}^{2} + 83p {q}^{2} {r}^{3} [/tex]
Answer:
83p^9 + q^7 + r^6 + 83p + r^6
Step-by-step explanation:
^9 means to the power of 9
^7 means to the power of 7
^6 means to the power of 6
i can't do step-by-step, it's too complicated to explain. im sorry
<3
Jorge’s family is taking a car trip to see his grandmother. The family plans to spend 3 days on the road. The distance is 687 miles. About how far must they drive each day?
Are isosceles triangles always 90?
No, isosceles triangles do not always have to have 90-degree angles.
An isosceles triangle is a triangle with two sides of equal length. While the two sides are equal, they can be of any length. This means that the angles of the isosceles triangle can vary, and the triangle does not always have to have 90-degree angles. In fact, an isosceles triangle can have angles that range from 0 to 180 degrees. The only requirement for an isosceles triangle is that it must have two sides of equal length. As such, an isosceles triangle can have angles that are greater than 90 degrees, angles that are less than 90 degrees, or even angles that are equal to 90 degrees.
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CORRECT ANSWER WITH **STEPS** GETS BRAINLIEST
for the following questions, determine what values of x makes the rational expression equal to zero.
1. x+6 / x-4
2. (x+4)(x-2) / (x+6)
3. 2x+10 / 3x-12
thanks.
An elliptical mirror measures 16 inches wide and 20 inches high. The ellipse is centered at (0, 52) on a coordinate plane, where units are in inches. Which equation represents the mirror?
(y - 52)²/400 + x²/256 = 1
(y – 52)²/100+ x²/64 = 1
X²/400+ (y-52)²/256 = 1
x²/100+(y-52)²/64 = 1
Equation of ellipse is x²/400 + (y-52) ²/256 =1
What is ellipse?An ellipse is an oval shaped close geometrical figure. Ellipse has two radius, one is horizontal, and the other is vertical. An ellipse can be stretched either horizontal direction or vertical direction.
Which equation represent the mirror?given, width of elliptical mirror = 16 inches
height of elliptical mirror = 20 inches
the center of ellipse = (0, 52)
as the width of elliptical mirror is less than height so the ellipse has vertical major axis.
vertical radius is denoted by b.
and horizontal radius is denoted by a.
as per the question, a = 16 inches and b = 20 inches.
we know the equation of ellipse whose major axis is vertical and center at the origin is shown by
x² / b² + y²/ a² = 1
we are given information about an ellipse having center (0, 52) and vertical radius 20 and horizontal radius 16.
the equation of this ellipse is.
x² / (20) ² + (y -52) ²/ (16)² = 1
x²/400 + (y - 52) ² /256 = 1
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Lionel bought 4 candy bar and 2 pack of gum at the ga tation and pend $9. 80. Two pack of gum cot the ame a three candy bar. Let g repreent the cot of a pack of gum and repreent the cot of a candy bar
The cost of a pack of gum bought by Lionel is $2.1.
Let the variable g represent the cost of a pack of gum.
Let the variable c represent the cost of a candy bar.
Since Lionel bought 4 candy bars and 2 packs of gum at the gas station and spent $9.80, a linear equation that models this situation is;
4c + 2g = 9.80 ......equation (1)
Additionally, two packs of gum cost the same as three candy bars:
2g = 3c ......equation (2)
c = 2g/3 ......equation (3)
Substituting equation (3) in equation (1), we get:
4(2g/3) + 2g = 9.80
8g/3 + 2g = 9.80
14g/3 = 9.80
14g = 29.4
= 29.4/14
= $2.1
The cost of a pack of gum is $2.1.
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The complete question is -
Lionel bought 4 candy bars and 2 packs of gum at the gas station and spent $9.80. Two packs of gum cost the same as three candy bars. Let g represent the cost of a pack of gum and c represent the cost of a candy bar. What is the cost of a pack of gum?
Please help me on these questions my homwork is due at 11:59 pm today!
Han will make $57.75 for 7 hours of babysitting.
What is line segment?In geometry, a line segment is a part of a straight line that is bounded by two distinct end points, and contains every point on the line that is between its endpoints. The length of a line segment is given by the Euclidean distance between its endpoints.Given is a line segment RT.
We can write RT as -
RT = RS + ST
56 = (7y + 3) + (2y + 8)
(7y + 3) + (2y + 8) = 56
9y + 11 = 56
9y = 45
y = 5
Therefore, the value of {y} will be equivalent to 5.
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May someone help?...
The value of x and y in triangles AEB and BCD is 40° and 50°.
What is a triangle?A triangle is a three-sided closed-plane figure formed by joining three noncolinear points. Based on the side property triangles are of three types they are Equilateral triangle, Scalene triangle, and Isosceles triangle.
We know the sum of all the interior angles in a triangle is 180°.
Therefore, In ΔAEB,
(2x + 5)° + 50° + 45° = 180°.
2x + 100° = 180°.
2x = 180° - 100°.
2x = 80°.
x = 40°.
Now, ΔBCD,
x + y + 90° = 180°.
40° + y + 90° = 180°.
y = 180° - 130°.
y = 50°.
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