Answer:
4 : 3
Step-by-step explanation:
The first segment is 4/7 of the whole, so the second segment is 1 - 4/7 = 3/7 of the whole. Then the ratio of the two segments is ...
(4/7) : (3/7) = 4 : 3
Marvin the fly starts at $(0,0).$ Each step, Marvin moves one unit right or one unit up. He is trying to get to the point $(5,7)$. However, at $(4,3)$ there is a frog that will eat him if he goes through that point. In how many ways can Marvin reach $(5,7)$?
Answer:
The answer is "728 routes"
Step-by-step explanation:
The number of ways to proceed from (0, 0) to (5, 7) is as follows:
[tex]\Rightarrow \frac{(7+5)!} {(7! \times 5!)} \\\\ \Rightarrow \frac{12!}{(7! \times 5! )}\\\\\Rightarrow \frac{12 \times 11 \times 10 \times 9 \times 8 \times 7!}{7! \times 5!}\\\\\Rightarrow \frac{12 \times 11 \times 10 \times 9 \times 8}{5!}\\\\\Rightarrow \frac{12 \times 11 \times 10 \times 9 \times 8}{5\times 4 \times 3 \times 2 \times 1}\\\\\Rightarrow \frac{ 11 \times 9 \times 8}{1}\\\\\Rightarrow 11 \times 9 \times 8\\\\\Rightarrow 11 \times 72\\\\\Rightarrow 792[/tex]
We would like to delete the ways of (0, 0) to (2, 3) That's the resolution:
[tex]\Rightarrow \frac{(3+2)!}{(3!\times2!)} \\\\ \Rightarrow \frac{5!}{(3!\times2!)} \\\\\Rightarrow \frac{5\times 4\times 3! }{(3!\times2 \times 1)} \\\\\Rightarrow \frac{5\times 4}{(2 \times 1)} \\\\\Rightarrow \frac{5\times 2}{1} \\\\\Rightarrow 10 \ ways[/tex]
[tex]So, \\\\ \Rightarrow 792 -10 \\\\ \Rightarrow 782 \ routes[/tex]
Need help can someone plz help me solved this problem ASAP! Need help I will mark you as brainiest
Answer: 2, 6
Step-by-step explanation:
Triangle Inequality Theorem states that the sum of two sides must be GREATER than the third side.
RS + ST > RT and RS + RT > ST and ST + RT > RS
2x + 4x > 12 2x + 12 > 4x 4x + 12 > 2x
6x > 12 12 > 2x 12 > -2x
x > 2 6 > x -6 < x
2 < x x < 6 invalid
Answer: 2 < x < 6
Graph: O----------------------O
2 6
Note: -6 is invalid because you cannot have a negative length.
Determine the constant of variation for the direct variation given.
2
1
1/2
Answer:
1/2
Step-by-step explanation:
The constant of variation is the same as the slope. From the graph, the slope is 1/2.
Answer:
I believe the answer is 2
What is the area of the parallelogram?
6
5
4
Step-by-step explanation:
A=base length × height
if base is 6cm, and h 4 cm, multiply
6×4=24cm2
A line has x-intercept -8 and y-intercept 5. Determine the slope of a line perpendicular to this line.
Answer:
- 8/5
Step-by-step explanation:
A line has x-intercept -8 and y-intercept 5.
It means the line has passes through:
(-8, 0) and (0, 5)Slope as per slope formula:
m = (y2-y1)/(x2-x1) m = (5 - 0)/(0 + 8) = 5/8Perpendicular lines have slopes negative reciprocal to each other
So the slope of the perpendicular line is:
m = -1/(5/8) = - 8/5Si un número de dos cifras se disminuye en 17 y esta diferencia se divide por la suma de sus cifras, el cociente es 5, y si el número disminuido en 2 se divide por la cifra de las unidades disminuida en 2, el cociente es 19 . Hallar el número.
Resolviendo un sistema de ecuaciones, veremos que el número de dos cifras es 97.
¿Como encontrar el sistema de ecuaciones?
Podemos escribir un número de dos cifras como:
a*10 + b
Donde a y b son dos numeros de una cifra.
Entonces podemos escribir las restricciones:
"Si un número de dos cifras se disminuye en 17 y esta diferencia se divide por la suma de sus cifras, el cociente es 5"
((a*10 + b) - 17)/(a + b) = 5
"si el número disminuido en 2 se divide por la cifra de las unidades disminuida en 2, el cociente es 19"
(a*10 + b - 2)/(b - 2) = 19
Entonces tenemos un sistema de ecuaciones, que vamos a escribir como:
a*10 + b - 17 = (a + b)*5
a*10 + b - 2 = 19*(b - 2)
Donde pase los denominadores a la derecha, así es más simple de leer.
Para resolver esto, primero debemos simplificar ambas ecuaciones, vamos a obtener:
a*10 + b - 17 = a*5 + b*5
a*10 + b - 2 = 19*b - 38
Moviendo los terminos con variables a la izquierda y los constantes a la derecha:
a*10 + b - a*5 - b*5 = 17
a*10 + b - 19*b = -38 + 2
Terminamos de simplificar:
a*5 - b*4 = 17
a*10 - b*18 = -36
Ahora debemos aislar una de las variables en una de las ecuaciones, vamos a aislar a en le primera:
a = (17 + b*4)/5
Ahora reemplazamos esto en la otra ecuación y resolvemos para b:
10*(17 + b*4)/5 - b*18 = -36
2*(17 + b*4) - b*18 = -36
34 + b*8 - b*18 = -36
34 - b*10 = -36
-b*10 = -34 - 36 = -70
b = -70/-10 = 7
Para encontrar el valor de a usamos la ecuación:
a = (17 + b*4)/5 = (17 + 7*4)/5 = 9
Entonces podemos concluir que el número es 97.
Sí quieres aprender más sobre sistemas de ecuaciones, puedes leer:
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PLEASE SOMEONE HELP ME ON 4,5, AND 6 ASAP.
Answer:
see below
Step-by-step explanation:
4. If ∠AYX = 25.5° that means that ∠XYZ = 25.5 * 2 = 51° because YA is the angle bisector.
5. If ∠XYZ = 64°, ∠AYZ = 64 / 2 = 32°.
6. You can construct ∠P and PQ by using a protractor. I'm not sure how to attach an image so I'll just tell you the answer I got for c which is about 3 cm.
Solve by completing the square.
s2 + 22s = 27
Write your answers as integers, proper or improper fractions in simplest form, or decimals rounded to the nearest hundredth.
Answer:
s = 1.17, -23.17
Step-by-step explanation:
s^2 + 22s = 27
Take the coefficient of s
22
Divide by 2
22/2 =11
Square it
11^2 =121
Add this to both sides
s^2 + 22s+121 = 27+121
s^2 + 22s+121 = 148
(s+11)^2 = 148
Take the square root of each side
sqrt((s+11)^2) = ±sqrt(148)
s+11 = ±sqrt(148)
Subtract 11 from each side
s+11-11 = -11 ±sqrt(148)
s = -11 ±sqrt(148)
s = -11 + sqrt(148) = 1.1655
- 11 - sqrt(148)=-23.166
Rounding to the nearest hundredth
s = 1.17, -23.17
Which is a y-intercept of the graphed function?
(-9.0)
(-3.0)
(0, -9)
(0.-3)
Answer: (0,-9)
Step-by-step explanation:
(0,-9) is the y-intercept because it is the point at which the function crosses the y-axis.
Someone help me :)
What is the volume, to the nearest tenth of a cubic inch, of the cylinder I punto
shown below?
3 m
6 m
A 339.1
B 56.5
O C 169.6
D 27.1
Analyze the graph below and answer the question that follows. / What is the angle of rotation from RST to R'S'T' ? Assume that the center of rotation is the origin. A. 180° clockwise B. 90° clockwise C. 90° counterclockwise D. 270° counterclockwise
Answer:
C
Step-by-step explanation:
This could be either 90° counterclockwise or 270° clockwise but the latter is not an option so the answer is C.
Answer:
d
Step-by-step explanation:
The diagram shows part of a regular polygon. The sides of this polygon subtend angles of 20° at the centre of the polygon. How many sides does the polygon have?
360÷20 = 18sides
U divide 360 by 20 because angles at the center add up to 360°
The given polygon will have 18 sides in total.
Given information:
The diagram shows part of a regular polygon.
The sides of this polygon subtend angles of 20° at the center of the polygon.
Let the polygon has n number of sides.
Now, the polygon is regular. So, its each side will be equal and it will make equal angle with the center.
The sum of angles made by all the sides will be equal to 360 degrees.
So, the number of sides n can be calculated as,
[tex]20\times n=360\\n=\dfrac{360}{20}\\n=18[/tex]
Therefore, the given polygon will have 18 sides in total.
For more details, refer to the link:
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Gavin was thinking of a number. Gavin halves the number and gets an answer of 34.3. Form an equation with x as information.
Gavin's number is 68.6
Equation: 1/2(x) = 34.3
Use inverse operations on both sides.
1/2(x) = 1x or x = 34.3(2)
34.3(2) = 68.6
Thus, x equals 68.6
Gavin's number is 68.6.
What is multiplication?
In mathematics, multiplication is a method of finding the product of two or more numbers. It is one of the basic arithmetic operations, that we use in everyday life
here, we have,
Gavin halves the number and gets an answer of 34.3.
now, we get,
Equation: 1/2(x) = 34.3
Use inverse operations on both sides.
1/2(x) = 1x
or x = 34.3(2)
i.e. 34.3(2) = 68.6
Thus, x equals 68.6.
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nine business associates share $736800 from the sale of their company calculate to the nearest count how much they each receive
Step-by-step explanation:
1 business = 736800 ÷ 9 = 81866.66
Each business associates 81866.66
what is the key vocabulary of cubic functions
Answer:
Hope it helps!
Step-by-step explanation:
The general form of a cubic function is y = ax3 + bx + cx + d where a , b, c and d are real numbers and a is not zero. We can graph cubic functions by plotting points.
A cubic function is any function of the form y = ax^3 + bx^2 + cx + d, where a, b, c, and d are constants, and a is not equal to zero, or a polynomial functions with the highest exponent equal to 3. These types of functions are extremely prevalent in applications involving volume.
Credits;
Graphs of Cubic Functions (solutions, examples, videos)
Cubic Function: Definition, Formula & Examples - Video & Lesson
URGENT I NEED HELPPP
Answer:
Step-by-step explanation:
The only valid expression from the given list is the one that uses the arctangent ([tex]tan^{-1}(0.75)[/tex] ) function.
Recall that the tangent of an acute angle in a right angle triangle is defined as:
[tex]tan(B)=\frac{opposite}{adjacent}[/tex]
therefore in our case we have:
[tex]tan(B)=\frac{opposite}{adjacent} \\tan(B) = \frac{12}{16} \\tan(B)=0.75\\B=arctan(0.75)[/tex]
Find the common ratio for the geometric sequence for which a1=1 and a5=625
Answer:
r = 5
Step-by-step explanation:
The n th term of a geometric sequence is
[tex]a_{n}[/tex] = a₁ [tex]r^{n-1}[/tex]
where a₁ is the first term and r is the common ratio
Here a₁ = 1 and a₅ = 625, thus
1 × [tex]r^{4}[/tex] = 625 , so
r = [tex]\sqrt[4]{625}[/tex] = 5
The common ratio of the geometric sequence is 5 if the geometric sequence for which a1=1 and a5=625 the answer is 5.
What is a sequence?It is defined as the systematic way of representing the data that follows a certain rule of arithmetic.
We have a geometric sequence for which:
The first term a1 = 1
and fifth term:
a5 = 625
As we know, the geometric sequence follows a certain arithmetic rule of multiplication.
The nth term of the geometric sequence is:
a(n) = arⁿ⁻¹
a1 = a = 1
a5 = ar⁵⁻¹ = 625
Take the ratios:
a/ar⁵⁻¹ = 1/625
r is the common ratio.
1/r⁴ = 1/625
r⁴ = 625
r = 5
The common ratio is 5.
Thus, the common ratio of the geometric sequence is 5 if the geometric sequence for which a1=1 and a5=625 the answer is 5.
Learn more about the sequence here:
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ALL YOU NEED TO DO IS DRAW THIS!!!!! Circle ω1 with center K of radius 4 and circle ω2 of radius 6 intersect at points W and U. If the incenter of 4KW U lies on circle ω2, find the length of W U. (Note: The incenter of a triangle is the intersection of the angle bisectors of the angles of the triangle)
Answer:
WU = (14√13)/13 ≈ 6.6564
Step-by-step explanation:
Call the incenter of ∆KWU point A. Call the center of circle ω2 point B.
Then ∠KWA has half the measure of arc WA. ∠AWU is congruent to ∠KWA, so also has half the arc measure. That is, ∠KWU has the same measure as arc WA and ∠KBW.
KB is a perpendicular bisector of chord WU, so ∆KWB is a right triangle, of which WU is twice the altitude to base KB.
The length of KB can be found several ways. One of them is to use the Pythagorean theorem:
KB² = KW² +WB² = 4² +6² = 52
KB = √52 = 2√13
The area of triangle KWB is ...
area ∆KWB = (1/2)KW·WB = (1/2)(4)(6) = 12 . . . . square units
Using KB as the base in the area calculation, we have ...
area ∆KWB = (1/2)(KB)(WU/2)
12 = KB·WU/4
WU = 48/KB = 48/(2√13) = 24/√13
WU = (24√13)/13 ≈ 6.6564
Heres is an problem please answer
Answer:
2
Step-by-step explanation:
the - means you have to subtract to add. so subtract 3 over 4 and you get 2
If triangle ABC is congruent to triangle DEF, then BC is congruent to DE.
False
True
Answer: False
Step-by-step explanation:
If ABC is congruent to DEF, then BC is congruent to EF.
And A would be congruent to D.
Pls help me. The one with the symbol are the answer choices for the questions
Answer:
∈
Step-by-step explanation:
∈ symbol indicates the data set on the left side is fully included in the data set on the right side
If 3/x=5/y, what is the value of y/x?
Answer:
5/3
Step-by-step explanation:
multiply the whole thing by y to get 3y/x=5 and then divide by 3 to get y/x=5/3
Answer:
y/x=5/3
Step-by-step explanation:
3/x=5/y ⇒ y/x=5/3 replacing y with 3
Find the volume of the figure.
*
9 cm
10 cm
2 cm
10 cm
9 cm
Answer:
Look up how to find volume and you'll get the answer right away
Step-by-step explanation:
In this set of pairs of (x,y) numbers, y is directly proportional to x
Complete the following (2,3) (5,7.5) (6, ?) (?,13.5) (?,?)
What is the constant of proportionality k if y = kx?
Answer:
(6, 9) (9, 13.5) (10, 15) and k = 1.5
Step-by-step explanation:
We can plug the given points into the equation y = kx
3 = k(2)
1.5 = k (constant of proportionality)
Then, we can use this to complete the other pints.
y = 1.5(6)
y=9, so (6, 9)
13.5 = 1.5(x)
9 = x, so (9, 13.5)
If we follow the pattern, the last point should be (10, 15)
For cones with radius 6 units, the equation =12ℎ V = 12 π h =12ℎ V = 12 π h relates the height ℎ h ℎ h of the cone, in units, and the volume V V of the cone, in cubic units.
Answer:
Step-by-step explanation:
The question is not properly structured. Here is the complete question.
For cones with radius 6 units, the equation V=12\pi h relates the height h of the cone, in units, and the volume V of the cone, in cubic units. Sketch a graph of this equation on the axes.
The formula for calculating the volume of a cone is expressed as shown;
[tex]V = \frac{1}{3} \pi r^{2} h[/tex] where r is the radius and h is the height.
Given radius r = 6units, on substituting;
[tex]V = \frac{1}{3}*\pi *6^{2}*h\\ V = \frac{36\pi h}{3}\\V = 12\pi h... (1)[/tex]
It can be seen from the derived volume of the cone that it is linear in nature. The volume of the cone has a linear relationship with its height. As the volume increases, the height also increases and vice versa.
Generally for a direct variation
[tex]if\ y\ \alpha x \ \\y = kx[/tex]
where k is the constant of proportionality. comparing to equation 1, k = 12π.
Find the graph attached
PLEASE HELP FOR A BRAINLIEST!!!! Create your own example and explain how to solve Quadratic Equation using Quadratic Formula. What part in the Quadratic Formula is the discriminant and how do you know the number of solutions based on the value of the discriminant? Pls pls help I need YALLS brains
Step-by-step explanation:
1. Create your own example and explain how to solve Quadratic Equation using Quadratic Formula.
The quadratic formula is used to solve quadratic equations. It is shown as [tex]x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]
A quadratic equation is generally shown in the form of [tex]ax^{2} +bx + c = 0[/tex]
For example, if you saw the equation [tex]7x^{2} + 3x + 20 = 0[/tex]
7 would be [tex]a[/tex], 3 would be [tex]b[/tex], and 20 would be [tex]c[/tex].
To solve the equation above, you would fill in the quadratic formula as such, [tex]x=\dfrac{-3\pm\sqrt{(3)^2-4(7)(20)}}{2(7)}[/tex]
Then you could solve for x.
2. What part in the Quadratic Formula is the discriminant?
The discriminant is the equation under the square root on the quadratic formula, [tex]b^{2} - 4ac[/tex]
It is tells us whether there are two solutions, one solutions, or no solutions.
3. How do you know the number of solutions based on the value of the discriminant?
To know the number of solutions based off of the value of the discriminant, you need to plug in your values. Using the example quadratic equation, [tex]7x^{2} + 3x + 20 = 0[/tex]
We will plug the values into the discriminant.
[tex]3^{2} - 4(7)(20) = -551[/tex]
Now, if the discriminant is positive it has two real solutions. If the discriminant is zero the equation has no real-number solutions. And finally, if the discriminant is negative, the equation has one real solution. Because our discriminant is -551, the example equation has one real solution.
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Part 1= You are shopping for a shirt, and you want to get the best deal. You go to two stores, the first of which is JCPenney. What is the cost of the shirt at JCPenney?
Part 2=The second store you go to is Macy's. What is the cost of the shirt at Macy? *
Part 3=Which store has the better deal? *
A- Macy's
B- JCPenney
Answer:
Macy’s
Step-by-step explanation:
let’s find the cost of each shirt
JCPenny’s: 14.99 x 0.80 = $11.99
11.99 x 1.06 = $12.70
The final cost of the JCPenny shirt is $12.70
Macy’s: 17.99 x 0.65 = $11.69
11.69 x 1.07 = $12.51
The final cost of the Macy’s shirt is $12.51
$12.51 is less than $12.70
So, the Macy’s shirt is the better deal :)
PLEASE ANSWER THIS MATH QUESTION !! THANK U !! 19 POINTS AND BRAINLIEST !!
Answer:
a
Step-by-step explanation:
the side x looks smaller than 8 m.
The only option smaller than 8 m is a, 5.2 m
simplify √x^2+6x+9 if x≥3
Answer:
simplified expression for √x^2+6x+9 if x≥3
is x+3
Step-by-step explanation:
[tex]\sqrt{x^2+6x+9} \\=>\sqrt{x^2+3x+3x+9} \\=>\sqrt{x(x+3)+3(x+3)} \\=>\sqrt{(x+3)(x+3)} \\=>\sqrt{(x+3)^2}\\=>(x+3) \ or -(x+3)[/tex]
but given that x≥3
then we have to negate solution -(x+3)\
Then simplified expression for √x^2+6x+9 if x≥3
is x+3
One eighth of the students in
the class are in the school band.
What fraction of the total number
of students are not in the band?
Answer:
7/8 aren't in the school band