Answer: D
Step-by-step explanation: Plug in 0 for x and solve. Then plug in 4 for x and solve. Compare the results. Which function has the smallest difference in output? Which has the greatest difference in output?
In which quadrant or on which axis do each of the points (2, 3 ), ( 5, -6 ), ( 2,0 ) , ( -5, 2 ), (-2,-4), (0,-2).
from the above picture
2,3 = 1 quadrant
5,-6 = 4 quadrant
2,0 = on x axis
-5,2 = 2 quadrant
-2,-4 =3 quadrant
0,-2 = on y axis
You measure the sides of a pool and find that it is 20 yards wide and 50 yards long. Approximately, how far would it be diagonally between corners of the pool?
A. 54 yards
B. 58 yards
C. 62 yards
D. 66 yards
Answer:
[tex]\boxed{d = 54 yards}[/tex]
Step-by-step explanation:
Formula for diagonal is as follows:
[tex]d = \sqrt{l^2+w^2}[/tex]
Where d is diagonal, l is length (50 yards) and w is width (20 yards)
[tex]d = \sqrt{(50)^2+(20)^2}[/tex]
[tex]d = \sqrt{2500+400}[/tex]
[tex]d = \sqrt{2900}[/tex]
d = 53.85 yards
d ≈ 54 yards
Answer:
[tex]\boxed{\mathrm{54 \: yards}}[/tex]
Step-by-step explanation:
The shape of the pool is a rectangle.
The diagonal of a rectangle can be found through a formula by using Pythagorean theorem.
[tex]d^2=l^2 +w^2[/tex]
[tex]d=diagonal\\l=length\\w=width[/tex]
The length is given 50 yards, and width is given 20 yards. Find the diagonal.
[tex]d^2 =50^2 +20^2[/tex]
[tex]d^2 =2500+400[/tex]
[tex]d^2 =2900[/tex]
[tex]d=\sqrt{2900}[/tex]
[tex]d \approx 53.851648[/tex]
[tex]d \approx 54[/tex]
convert this number to scientific notation 1260000
Answer:
1.26 * 10 ^6
Step-by-step explanation:
1260000
Scientific notation is of the form a* 10 ^b
where a is a number between 1 and less than 10
Move the decimal 6 places to the left
1.26 ( dropping the extra zeros)
b = +6 since we moved the decimal 6 places)
1.26 * 10 ^6
The number 1260000 in scientific notation is 1.26 x [tex]10^6[/tex].
We have,
1260000
Write the zeroes in powers of 10.
Write a number between 1 to 10 along with the power of 10.
Now,
126 x 10000
This can be written as,
126 x [tex]10^4[/tex]
Now,
126 can be written as 126/100 x 100.
i.e
1.26 x 100 or 1.26 x 10²
Now,
1.26 x 10² x [tex]10^4[/tex]
1.26 x [tex]10^{2 + 4}[/tex]
1.26 x [tex]10^6[/tex]
Thus,
The number 1260000 in scientific notation is 1.26 x [tex]10^6[/tex].
Learn more about scientific notation here:
https://brainly.com/question/18073768P
#SPJ6
Find the 9th term geometric sequence 1,1/2,1/2^2
Answer: [tex]t_9=\dfrac{1}{2^8}[/tex]
Step-by-step explanation:
[tex]t_n=t_1\times r^{n-1}\\\\Given: t_1=1,\quad r=\dfrac{1}{2}\\\\\\t_9=1\times\bigg(\dfrac{1}{2}\bigg)^{9-1}\\\\\\.\quad =\large\boxed{\dfrac{1}{2^8}}[/tex]
Jane’s mobile phone plan charges $0.05 per minute at daytime rates before 8 p.m. and $0.03 per minute at nighttime rates after 8 p.m. A conference call costs 1.5 times the normal rate. Calculate the cost of a conference call lasting from 7 p.m. to 8:30 p.m.
Answer
5.85
Step-by-step explanation:
$0.05 x 1.5 = 0,075 x 1 hour (60) = 4,5
$0.03 x 1.5 = 0,045 x half an hour (30) = 1,35
So 4.5 + 1.35 = 5.85
Answer:
Step-by-step explanation:
Cost of the conference call before 8 pm =0.15 * 0.05 = $ 0.075
Cost of the conference call after 8 pm = 0.15 * 0.03 = $ 0. 045
Cost of the conference call from 7pm to 8pm that last 60 minutes= 0.075 * 60
= $ 4.50
Cost of the conference call 8pm to 8:30pm =0.045 * 30 = $ 1.35
Cost of the conference call 7 pm to 8:30 pm = 4.50 + 1.35 = $ 5.85
why the system of si unit is developed
Step-by-step explanation:
Hi, there!!!!
The main purpose of developing si unit is to have standard unit of measurements and to bring uniformity in whole world in terms of measurements.
I hope it helps you...
Clase de estadistica la moda es una medida de tendencia central que: ¿por que? a) tiene muchos datos b) tiene la mayor frecuencia c) tiene poca frecuencia d) al ordenar los datos de menor a mayor es el dato que se ubica en el centro
Answer:
b) tiene la mayor frecuencia
Step-by-step explanation:
Las medidas de tendencia central se refieren a un centro alrededor del cual se encuentran todos los datos y estas medidas son: la media, la moda y la mediana. La media es el valor promedio de un grupo de datos, la moda es el dato que se repite más veces y la mediana es el valor que se encuentra en el centro cuando los datos se ubican de menor a mayor. De acuerdo a esto, la respuesta es que la moda es una medida de tendencia central que tiene la mayor frecuencia.
Los otras opciones no son correctas porque el tamaño del conjunto de datos no depende de las medidas de tendencia central, esto depende de cada situación y pueden ser muchos o pocos datos. Además la opción "al ordenar los datos de menor a mayor es el dato que se ubica en el centro" se refiere a la mediana.
I don’t have a graphing calculator, please help!
Answer: is your first option
Step-by-step explanation:
after going over all the available equations, your first option is the only one that had results that were much more reasonable than the others. hope it helps.
Please answer this question now
Answer:
m∠D = 94°
Step-by-step explanation:
Quadrilateral ABCD is also called a cyclic quadrilateral or a quadrilateral that is inscribed in a circle.
Opposite angles in a cyclic Quadrilateral are supplementary, i.e the sum of two opposite angles in a Quadrilateral = 180°
m∠A + m∠C = 180°
m∠A = 74°
74° + m∠C = 180°
m∠C = 180° - 74°
m∠C = 106°
In a cyclic quadrilateral, the total sum of the angles outside the circle = 360°
i.e =
m∠AB + m∠BC + mDC + mAD = 360°
m∠DAB= ( m∠C) × 2
= 106° × 2 = 212°
m∠DAB = m∠AD + m∠AB
m∠AD = 79°
212° = 79° + m∠AB
m∠AB = 212° - 79°
= 133°
m∠ABC = m∠AB + m∠BC
m∠AB = 133°
m∠BC= 55°
m∠ABC = 133° + 55°
= 188°
We are asked to find m∠D
m∠D = 1/2m∠ABC
m∠ABC = 188°
m∠D = 1/2 × 188°
m∠D = 94°
Therefore, m∠D = 94°
Please help Asap!!!Math question
Answer:
first one
Step-by-step explanation:
Find the other endpoint of the line segment with the given endpoint
and midpoint
Endpoint 1: (9,1)
Midpoint: (1,6)
Endpoint 2= (
Step-by-step explanation:
Let the other endpoint be (x,y)
Since, (1,6) is the midpoint between (9,1) and (x,y)
Therefore,
1=(9+x)/2
=> 2=9+x
=> x= -7
and,
6=(1+y)/2
=>12= 1+y
=> y=11
So, the other endpoint is ( -7, 11)
Answer:
( - 7 , 11)Step-by-step explanation:
Let the coordinates of Endpoint 2 be
(x ,y)
The midpoint of the endpoints is given by
[tex](1,6) = ( \frac{9 + x}{2} , \frac{1 + y}{2} )[/tex]
Where x and y are coordinates of Endpoint 2
Comparing with the midpoint we have
[tex]1 = \frac{9 + x}{2} \\ 2 = 9 + x \\ \\ x = 2 - 9 \\ \\ x = - 7[/tex]
[tex]6 = \frac{1 + y}{2} \\ 12 = 1 + y \\ \\ y = 12 - 1 \\ \\ y = 11[/tex]
Therefore x = - 7 and y = 11
The coordinates of Endpoint 2 are
( - 7 , 11)Hope this helps you
A swimming pool can be emptied in 6 hours using a 10-horsepower pump along with a 6-horsepower pump. The 6-horsepower pump requires 5 hours more than the 10-horsepower pump to empty the pool when working by itself. How long will it take to empty the pool using just the 10-horsepower pump?
Answer: 10 hours
Step-by-step explanation:
The 10hp pump takes x hours to empty the pool which means it gets [tex]\dfrac{1}{x}[/tex] of the job done in one hour.
The 6hp pump takes x+5 hours to empty the pool which means it gets [tex]\dfrac{1}{x+5}[/tex] of the job done in one hour.
Together, they can get [tex]\dfrac{1}{x}+\dfrac{1}{x+5}[/tex] of the job done in one hour.
It is given that together they get the job done in 6 hours which means they get [tex]\dfrac{1}{6}[/tex] of the job done in one hour.
10 hp pump + 6 hp pump = Together
[tex]\dfrac{1}{x}\quad +\quad \dfrac{1}{x+5}\quad =\quad \dfrac{1}{6}[/tex]
Multiply by 6x(x+5) to eliminate the denominator:
[tex]\dfrac{1}{x}(6x)(x+5) +\dfrac{1}{x+5}(6x)(x+5) = \dfrac{1}{6}(6x)(x+5)[/tex]
Simplify and solve for x:
6(x + 5) + 6x = x(x + 5)
6x + 30 + 6x = x² + 5x
12x + 30 = x² + 5x
0 = x² - 7x - 30
0 = (x - 10)(x + 3)
0 = x - 10 0 = x + 3
10 = x -3 = x
Since the number of hours cannot be negative, disregard x = -3.
So, the only valid answer is x = 10.
A polygon with 9 sides is shown. An exterior angle has a measure of x degrees. In the regular nonagon shown, what is the measure of angle x? 36° 40° 45° 60°
Answer:
40°Step-by-step explanation:
First we must know that the sum of all the exterior angle of all polygons is 360°.
Measure of each angle of a polygon = 360°/total sides of the polygon
Since a regular nonagon has 9 sides, the measure of each angle of a polygon is expressed as thus;
Measure of each angle of a polygon = 360°/9
Measure of each angle of a polygon = 40°
Hence the measure of an exterior angle x of a nonagon is 40°
Answer:
B in Edg
Step-by-step explanation:
Solve.
5x– 2y = 27
-3x +2y=-17
Enter your answer, in the form (x,y), in the boxes.
Answer:
x=5,y=-1
Step-by-step explanation:
5x– 2y = 27
-3x +2y=-17
Add the two equations together to eliminate y
5x– 2y = 27
-3x +2y=-17
----------------------
2x = 10
Divide by 2
2x/2 = 10/2
x = 5
Now find y
-3x +2y = -17
-3(5)+2y = -17
-15+2y =-17
Add 15 to each side
-15+15 +2y = -17+15
2y = -2
Divide by 2
2y/2 = -2/2
y =-1
pleaseeeeeeeeee helllllllpppppp pleaseeeeee hellpppp
Answer:
a. u = 19b. t = 6c. a = 2Step-by-step explanation:
a. Given,
v = 34 , a = 5 , t = 3
[tex]v = u + at[/tex]
plugging the values:
[tex]34 = u + 5 \times 3[/tex]
Calculate the product
[tex]34 = u + 15[/tex]
Move 'u' to L.H.S and change its sign
[tex] - u + 34 = 15[/tex]
Move constant to RHS and change its sign
[tex] - u = 15 - 34[/tex]
Calculate
[tex] - u = - 19[/tex]
The difference sign (-) will be cancelled in both sides:
[tex]u = 19[/tex]
b. Given,
v = 50 , u = 20 , a = 5
[tex]v = u + at[/tex]
plugging the values
[tex]50 = 20 + 5 \times t[/tex]
[tex]50 = 20 + 5t[/tex]
Move 5t to L.H.S and change its sign.
Similarly, Move 50 to R.H.S and change its sign
[tex] - 5t = 20 - 50[/tex]
Calculate
[tex] - 5t = - 30[/tex]
The difference sign (-) will be cancelled in both sides
[tex]5t = 30[/tex]
Divide both sides of the equation by 5
[tex] \frac{5t}{5} = \frac{30}{5} [/tex]
Calculate
[tex]t = 6[/tex]
c. Given,
v = 22 , u = 8 , t = 7
[tex]v = u + at[/tex]
plugging the values
[tex]22 = 8 + a \times 7[/tex]
[tex]22 = 8 + 7a[/tex]
Move 7a to LHS and change its sign
Similarly, Move constant to R.H.S and change its sign
[tex] - 7a = 8 - 22[/tex]
Calculate
[tex] - 7a = - 14[/tex]
The difference sign (-) will be cancelled in both sides
[tex]7a = 14[/tex]
Divide both sides of the equation by 7
[tex] \frac{7a}{7} = \frac{14}{7} [/tex]
Calculate
[tex]a = 2[/tex]
Hope this helps...
Good luck on your assignment..
a parabola had a vertex of (-5,0) and passes through the point (-3,1)
Answer:
Step-by-step explanation:
let the parabola be y=a(x+5)²+0
or y=a(x+5)²
∵ it passes through (-3,1)
1=a(-3+5)²
4a=1
a=1/4
so parabola is y=1/4(x+5)²
The tee for the sixth hole on a golf course is 305 yards from the tee. On that hole, Marsha hooked her ball to the left, as sketched below. Find the distance between Marsha’s ball and the hole to the nearest tenth of a yard.
Answer:
Correct answer is option D. 96.4 yd.
Step-by-step explanation:
Please refer to the attached figure for labeling of the given diagram.
ABC is a triangle with the following labeling:
A is the hole, B is the Tee and C is the point where the ball is.
Sides are labeled as:
[tex]a =255\ yd\\c = 305\ yd\\\angle B =17^\circ[/tex]
To find:
Side [tex]b = ?[/tex]
Solution:
Here, we have one angle and two sides . Third side of the triangle is to be found opposite to the given angle.
We can use cosine formula here to find the value of the unknown side.
[tex]cos B = \dfrac{a^{2}+c^{2}-b^{2}}{2ac}[/tex]
Putting all the values:
[tex]cos 17 = \dfrac{255^{2}+305^{2}-b^{2}}{2\times 255\times 305}\\\Rightarrow 0.956 = \dfrac{65025+93025-b^{2}}{155550}\\\Rightarrow 148753.2= 158050-b^{2}\\\Rightarrow b^{2}= 158050-148753.2\\\Rightarrow b^{2}= 9296.795\\\Rightarrow b= 96.42\ yd[/tex]
So, the distance between the Ball and hole is 96.42 yd
Correct answer is option D. 96.4 yd.
Answer:
D.) 96.4 yd
Step-by-step explanation:
I got it correct on founders edtell
Alexandria is practicing her long distance running. On day 0, she can run 2 miles without stopping. She wants to add 1/4 mile to her run each day. What is the slope for this linear relationship?
Answer:
1/4
Step-by-step explanation:
The slope of a graph is always the rate of change for every value of x, in this case, days. Since she is adding 1/4 of a mile to her run each day, this means that the slope of this linear relationship is 1/4.
She increases a full mile in 4 days, just a little note.
Given each set of vertices, determine whether PQRS is a rhombus, a rectangle, or a square. List all that apply. Explain your reasoning, P(-2, -3). Q(2, - 6). R(6. - 3). S(2, 1)
Answer:
RectangleStep-by-step explanation:
Given the coordinates P(-2, -3). Q(2, - 6). R(6. - 3). S(2, 1), to determine the type of shape the quadrilateral is, we need to find the measure of the sides. To get the measure of each sides, we will take the distance between the adjacent coordinates using the formula to formula for calculating the distance between two points as shown;
D = √(x₂-x₁)²-(y₂-y₁)²
For the side PQ with the coordinate P(-2, -3). Q(2, - 6)
PQ = √(2-(-2))²-(-6-(-3))²
PQ = √(2+2)²-(-6+3)²
PQ = √4²-(-3)²
PQ = √16-9
PQ = √7
For the side QR with the coordinate Q(2, - 6) and R(6, -3)
QR = √(6-2))²-(-3-(-6))²
QR = √(4)²-(3)²
QR = √16-9
QR = √7
For the side RS with the coordinate R(6. - 3) and S(2, 1)
RS = √(2-6)²-(1-(-3))²
RS = √(-4)²-(1+3)²
RS = √16-(4)²
RS = √16-16
RS = 0
For the side PS with the coordinate P(-2, -3) and S(2, 1)
PS = √(2-(-2))²-(1-(-3))²
PS = √(4)²-(1+3)²
PS = √16-(4)²
PS = √16-16
PS = 0
For the quadrilateral to be a rectangle, then two of its sides must be equal and parallel to each other. A rectangle is a plane shape that has two of its adjacent sides equal and parallel to each other. Since two of he sides are equal i.e RS = PS and PQ = QR then the quadrilateral PQRS is a rectangle. Both rhombus and square has all of its sides equal thereby making them wrong.
HELP ASAP MONEY & WAGES!
Answer: $26.70 per hour
Step-by-step explanation:
Regular hours consists of 8 hrs
Overtime hours is 12 - 8 = 4 hours
Regular pay at "x" per hour = 5(8)(x) = 40x
Overtime pay at "2x" per hour = 5(4)(2x) = 40x
Total pay = 80x
Total Pay = $2136 = 80x
[tex]\dfrac{\$2136}{80}=x[/tex]
$26.70 = x
Problem Water boils at 212^\circ212 ∘ 212, degrees Fahrenheit. Write an inequality that is true only for temperatures (t)(t)left parenthesis, t, right parenthesis that are higher than the boiling point of water.
Answer:
t > 212
Step-by-step explanation:
Given
Boiling point = 212°F
Required
Inequality that shows temperature greater than the boiling point
From the question, temperature is represented with t.
The inequality "greater than" is represented with >
So, temperature greater than the boiling point implies that t > 212
Answer: t > 212
Step-by-step explanation:
The question says "Write an inequality that is true only for temperatures that are higher than the boiling point of water."
This means t has to be higher than 212 since it says only for temperatures that are higher than the boiling point.
But since we have to write an inequality the answer would be: t > 212.
I know I did this very late and you probably don't need it but i was bored
find the value of x in the figure below. (picture included)
Answer:
Option D. 6√5.
Step-by-step explanation:
Please see attached photo for details.
The value of x can be obtained by using pythagoras theory as illustrated below:
In triangle ΔABC:
x² = z² + 12².... (1)
In triangle ΔABD:
15² = x² + y²...... (2)
In triangle ΔACD:
y² = z² + 3²....(3)
Substitute the value of y² in equation 3 into equation 2. We have:
15² = x² + y²
15² = x² + z² + 3²... (4)
From equation:
x² = z² + 12²
Make z² the subject
z² = x² – 12²
Substitute the value of z² into equation 4. We have:
15² = x² + z² + 3²
15² = x² + x² – 12² + 3²
15² = 2x² – 12² + 3²
225 = 2x² – 144 + 9
Collect like terms
225 + 144 – 9 = 2x²
360 = 2x²
Divide both side by 2
360/2 = x²
180 = x²
Take the square root of both side
x = √180
Expressing in surd form, we have:
x = √(36 x 5)
x = √36 x √5
x = 6√5
4) John's sister is 8 years less than twice his age. If John is 39, what age is his sister?
Answer:
Sister is 70
Step-by-step explanation:
John is 39.
8 less than twice his age is
39*2-8 = 70
Answer:
70 years old.
Step-by-step explanation:
Since John's sister is 8 years younger than TWICE his age, we just need to multiply 39*2 which equals 78. Now we just need to subtract 8 which equals 70.
Hope this helps!! <3
In a study with four groups and 10 participants in each group, the sum of squares for the between-groups source of variation is 60. What is the value for the mean square between groups in this study
Answer:
20
Step-by-step explanation:
Given that:
The study group n = 4
number of participants = 10
the sum of squares for the between-groups source of variation is 60
The objective is to determine the mean square between groups in this study
The mean square between groups in this study compares the means of the group with the sum of squares for the between-groups source (i.e the grand mean)
For this analysis;
the degree of freedom = n-1
the degree of freedom = 4 - 1
the degree of freedom = 3
Thus; the mean square between groups = [tex]\dfrac{60}{3}[/tex]
the mean square between groups = 20
A sphere has a diameter of 12 ft. What is the volume of the sphere? Give the exact value in terms of pi
Answer:
288π
Step-by-step explanation:
V=4 /3πr^3 is the formula. We have the diameter, so the radius is half (6). We now have V=4 /3π(6)^3 = 4/3π216 = 288π.
In the picture down below
Answer:
b
Step-by-step explanation:
The answer is b because we are looking for opposites
The opposite of +x is -x
While the opposite of -3 is +3
with this, we can switch them around.
this gives us the inverse of 3-x
solve systems by substitution method x + y = 20 3x + 4y = 72
Answer:
x = 8; y = 12.
Step-by-step explanation:
x + y = 20
x = -y + 20
3x + 4y = 72
3(-y + 20) + 4y = 72
-3y + 60 + 4y = 72
y = 12
x + 12 = 20
x = 8
Check your work!
3(8) + 4(12) = 72
24 + 48 = 72
72 = 72
Hope this helps!
Answer:
X=-12 and Y= 32
Step-by-step explanation:
x+y=20 -> 1
3x+4y=72 -> 2
Form 1,
[x+y=20]×4
4x+4y=60 ->3
Form 2,
3x+4y=72
4y= 72 -3x ->4
Sub (4) into (3)
4x+72-3x= 60
x = -12
Sub X=-12 into (1)
-12+y=20
y= 32
Hope this helps.
The sand used for sanding icy roads in the winter is stored in a conical-shaped structure with a radius of 10 m and a height of 16 m. Calculate the maximum amount of sand which can be stored in this structure.
Answer:
1,675.516
Step-by-step explanation:
The formula for a cone is V = pi r^2 h/3.
Plugging in the values of the radius and height, V = pi 10^2 16/3
Solving, you get:
V = pi 100 5.3333333
V = 1,675.516
Find the 20th term from the last term of the AP:3,8,13,..., 253.
Answer:
158
Step-by-step explanation:
The sequence is 3, 8, 13, ..., 253.
Going backwards, it's 253, 248, 243, ..., 3.
First term is 253, common difference is -5.
The nth term is:
a = 253 − 5(n − 1)
The 20th term is:
a = 253 − 5(20 − 1)
a = 158
A cylinder has radius r and height h. A. How many times greater is the surface area of a cylinder when both dimensions are multiplied by a factor of 2? 3? 5? 10? B. Describe the pattern in part (a).
Answer: A. Factor 2 => 4x greater
Factor 3 => 9x greater
Factor 5 => 25x greater
Step-by-step explanation: A. A cylinder is formed by 2 circles and a rectangle in the middle. That's why surface area is given by circumference of a circle, which is the length of the rectangle times height of the rectangle, i.e.:
A = 2.π.r.h
A cylinder of radius r and height h has area:
[tex]A_{1}[/tex] = 2πrh
If multiply both dimensions by a factor of 2:
[tex]A_{2}[/tex] = 2.π.2r.2h
[tex]A_{2}[/tex] = 8πrh
Comparing [tex]A_{1}[/tex] to [tex]A_{2}[/tex] :
[tex]\frac{A_{2}}{A_{1}}[/tex] = [tex]\frac{8.\pi.rh}{2.\pi.rh}[/tex] = 4
Doubling radius and height creates a surface area of a cylinder 4 times greater.
By factor 3:
[tex]A_{3} = 2.\pi.3r.3h[/tex]
[tex]A_{3} = 18.\pi.r.h[/tex]
Comparing areas:
[tex]\frac{A_{3}}{A_{1}}[/tex] = [tex]\frac{18.\pi.r.h}{2.\pi.r.h}[/tex] = 9
Multiplying by 3, gives an area 9 times bigger.
By factor 5:
[tex]A_{5} = 2.\pi.5r.5h[/tex]
[tex]A_{5} = 50.\pi.r.h[/tex]
Comparing:
[tex]\frac{A_{5}}{A_{1}}[/tex] = [tex]\frac{50.\pi.r.h}{2.\pi.r.h}[/tex] = 25
The new area is 25 times greater.
B. By analysing how many times greater and the factor that the dimensions are multiplied, you can notice the increase in area is factor². For example, when multiplied by a factor of 2, the new area is 4 times greater.