Answer: 62 inches
Step-by-step explanation:
26÷13 =2
so 2 is the scale factor
so 36÷2= 18
18+18+13+13=62
I HOPE THAT HELPED
PLZZZ HELP I WILL MARK YOU BRAINLIEST!!
A waitress kept track of whether her customers ordered an appetizer.
Answer:
D 10% of her customers ordered an appetizer and dessert
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:
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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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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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?
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
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]
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
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]
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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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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Find the centre focus,vertex,directrix and axis of each parabola and sketch the graph? (x-1)² = y+2
Answer:
Step-by-step explanation:
The equation for a parabola is of the form y = ax^2 + bx + c, where a, b, and c are constants. The graph of a parabola is a U-shaped curve that is symmetrical about a line called the axis of symmetry.
In the equation (x-1)^2 = y+2, we can rewrite it as y = (x-1)^2 - 2. This is the standard form of a parabola with a = 1, b = 0, and c = -2.
The vertex of the parabola is the point on the graph where the parabola reaches its highest or lowest point. For a parabola in standard form, the vertex is always of the form (h,k), where h and k are the values of x and y, respectively, at the vertex. The vertex of this parabola is (1,-2).
The axis of symmetry of the parabola is a line that divides the parabola into two mirror images. For a parabola in standard form, the axis of symmetry is always the line x = h, where h is the value of x at the vertex. The axis of symmetry of this parabola is the line x = 1.
The directrix of a parabola is a line that is used to define the parabola. For a parabola in standard form, the directrix is always the line y = k + p, where k and p are constants and p is the distance from the vertex to the directrix. The directrix of this parabola is the line y = -2 + p, where p is the distance from the vertex to the directrix.
The focus of a parabola is a point on the axis of symmetry that is used to define the parabola. For a parabola in standard form, the focus is always the point F(h,k+p), where h and k are the values of x and y, respectively, at the vertex, and p is the distance from the vertex to the directrix. The focus of this parabola is F(1,-2+p), where p is the distance from the vertex to the directrix.
To sketch the graph of this parabola, we can start by plotting the vertex at (1,-2). Then we can draw the axis of symmetry, which is the line x = 1. Next, we can choose a value for p and draw the directrix y = -2 + p. Finally, we can use the vertex and focus to plot points on either side of the axis of symmetry, and connect these points to form the U-shaped curve of the parabola.
[asy]
unit size(1cm);
real p = 1.5;
pair F, V;
F = (1,-2+p);
V = (1,-2);
draw((-2,0)--(4,0));
draw((0,-4)--(0,4));
draw((-2,V.y)--(4,V.y),dashed);
draw((F.x,p)--(F.x,-4),dashed);
label("$x$", (4,0), E);
label("$y$", (0,4), N);
label("$y = (x - 1)^2 - 2$", (4,-3), E);
a dot("$F$", F, NW);
a dot("$V$", V, S);
label
Here’s the other one, i just need two more that i will be posting, ty your and amazing person
Answer:
See below.
Step-by-step explanation:
X-intercepts: (-7, 0) & (-3, 0)
Axis of Symmetry: x = -5
Y-intercept: (0, -21)
Vertex: (-5, 4)
Use the following denomination (Ghana cedis 200,100,50 and 20)to find the quantities of notes
1.3584655000
2.85760000
3.146737000
4.5555627000
5.7777000
1) Number of 200 notes = 17,923,275
Number of 100 notes = 35,846,550
Number of 50 notes = 71,693,100
Number of 20 notes = 179,232,750
2) Number of 200 notes = 428,800
Number of 100 notes = 857,600
Number of 50 notes = 1,715,200
Number of 20 notes = 4,288,000
3) Number of 200 notes = 733,685
Number of 100 notes = 1,467,370
Number of 50 notes = 2,934,740
Number of 20 notes = 7,336,850
4) Number of 200 notes = 27,778,135
Number of 100 notes = 55,556,270
Number of 50 notes = 111,112,540
Number of 20 notes = 277,781,350
5) Number of 200 notes = 38,885
Number of 100 notes = 77,770
Number of 50 notes = 155,540
Number of 20 notes = 388,850
What is Division method?Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications. For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.
Given that;
Ghana credits 200,100,50 and 20 notes.
Now,
Since, Ghana credits 200,100,50 and 20 notes.
1) Hence, To credit the amount 3584655000,
Number of 200 notes = 3584655000/200 = 17,923,275
Number of 100 notes =3584655000/100 = 35,846,550
Number of 50 notes =3584655000/50 = 71,693,100
Number of 20 notes = 3584655000/20 = 179,232,750
2) To credit the amount 85760000;
Number of 200 notes = 85760000/200 = 428,800
Number of 100 notes = 85760000/100 = 857,600
Number of 50 notes = 85760000/50 = 1,715,200
Number of 20 notes = 85760000/20 = 4,288,000
3) To credit the amount 146737000;
Number of 200 notes = 733,685
Number of 100 notes = 1,467,370
Number of 50 notes = 2,934,740
Number of 20 notes = 7,336,850
4) To credit the amount 5555627000;
Number of 200 notes = 27,778,135
Number of 100 notes = 55,556,270
Number of 50 notes = 111,112,540
Number of 20 notes = 277,781,350
5) To credit the amount 7777000;
Number of 200 notes = 38,885
Number of 100 notes = 77,770
Number of 50 notes = 155,540
Number of 20 notes = 388,850
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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]
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:
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?
how do you solve this
Answer:
D. The m<4 is 137°
[tex] < 4 = 180 \degree - 43 \degree \\ < 4 = 137 \degree[/tex]
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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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:
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?
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!
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
The sum of three consecutive even integers is 168. Define an appropriate variable and write an equation that represents the statement. Solve to find the integers. Show all work and write a conclusion.
Answer:
a, a + 1, a + 2
55, 56. 57
Step-by-step explanation:
Let the integers be :
a, a + 1, a + 2 (consecutive integers)
Hence, sum of the integers equals 168
a + (a + 1) + (a + 2) = 168
a + a + 1 + a + 2 = 168
3a + 3 = 168
3a = 168 - 3
3a = 165
a = 165 / 3
a = 55
first integer, a = 55
Second, a +1 = 56
Third, a + 2 = 57
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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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
Danielle earns $50 in wages per day and earns $5 commissions for every pair of shoes she sells. If she wishes to earn at least $120 in one day, how many pairs of shoes must she sells
Answer:
24 shoes.
Step-by-step explanation:
I did 120 divided by how much money she makes for every pair of shoes she sells. 24 times 5 equals 120
Answer:
She will have to sell 14 pairs of shoes
Step-by-step explanation:
120 minus 50 because that's what she make a day no matter what so that 70 then 70 divided by 5 that is 14.
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
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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