Answer:
Hey there!
Pythagorean Theorem
a^2+b^2=c^2
10^2+36^2=c^2
100+1296=c^2
1396=37.4.
Um... did you make a typo?
Let me know if you did, because then I can edit my answer.
intergrate x×(x²-3)³
Answer: [tex]\large \boldsymbol{\dfrac{1}{8 } (x^2-3)^4+c}[/tex]
Step-by-step explanation:
[tex]\displaystyle \large \boldsymbol{} \int\limits {x(x^2-3)^2 } \, dx =\int\limits \frac{1}{2} {} \, (x^2-3)' (x^2-3)^3 dx =\frac{1}{8} (x^2-3)^4+c[/tex]
In algebraic expression
The sum of a number and six, divided by eight.
Answer:
x + 6 / 8
Step-by-step explanation:
The sum of a number is the answer to addition. So that means an unknown number and 6 are being added together. Lets make this unknown number x.
x + 6
The sum of this is being divided by 8. Since we already know what division is, we can just add the line and 8.
x + 6 / 8
if an angle is 10 degree less than its complement, find the angle.
Let one be x
Other one is x-10ATQ
[tex]\\ \sf \longmapsto x+x-10=90[/tex]
[tex]\\ \sf \longmapsto 2x-10=90[/tex]
[tex]\\ \sf \longmapsto 2x=90+10[/tex]
[tex]\\ \sf \longmapsto 2x=100[/tex]
[tex]\\ \sf \longmapsto x=\dfrac{100}{2}[/tex]
[tex]\\ \sf \longmapsto x=50[/tex]
[tex]\\ \sf \longmapsto x-10=50-10=40[/tex]
every rational number is a
a. whole number b. natural number c. integer d. real number
Greetings from Brasil...
a - whole number
FALSE
3/5, for example isnt a whole number
b. natural number
FALSE
0,457888..., for example isnt a natural number
c. integer
FALSE - like a
d. real number
TRUE
The set of real numbers contains the set of rational numbers
ℝ ⊃ ℚ
How many unit cubes would it take to completely fill the prism with no gaps between unit cubes?
Answer:
72 cubes
Step-by-step explanation:
Top view of the rectangular prism shows the unit cubes arranged in two rows along the length.
In each row number of unit cubes arranged = 9
Right view side of the prism shows the unit cubes arranged in two columns.
Number of unit cubes in each column = 4
Total number of cubes arranged in the prism = (Number of cubes in each row × Number of cubes arranged in two columns) × Number of columns
= (9 × 4) × 2
= 72
Therefore, number of cubes filled completely in the prism with no gaps = 72
#5 Find the distance between the points on the graph.
Answer:
approximately 12.04 units
Step-by-step explanation:
We'll use the Pythagorean Theorem to solve this problem.
There are two points here. The horizontal distance between them is 8 units and the vertical distance is 9.
According to the Pythagorean Theorem (or the Distance Formula), the distance between the two points is
d = √(8^2 + 9^2) = √(64 + 81) = √145 units, or approximately 12.04 units.
Find the height of the triangle by applying formulas for the area of a triangle and your
knowledge about triangles.
A. 5.3yds
B.3.7yds
C.1.9yds
D.2.6yds
Answer:
h=2.142
Step-by-step explanation:
Area of triangle(a)=1/2 b* h
Area of scalene traingle(a)=√s(s-a)(s-b)(s-c)
Semi perimeter(s)=(a+b+c)/2=(6+10+14)/2=15 yd
√s(s-a)(s-b)(s-c)=√15(15-6)(15-10)(15-14)=√15*9*5*1=√225=15 yd
Area of triangle(a)=1/2 b* h
15*2=14*h
30/14=h
h=2.142
You dont have any of those options so it might a mistake.
Determine what type of model best fits the given situation: A retirement account that is expected to
grow by $1,000 per year.
Answer:
Step-by-step explanation:
If the account grows steadily, this is a linear representation, where the constant, steady growth translates to the slope of a line.
HELP!!! Monica measures the number of bacteria that are living on her petri dish. Each day, she measures the amount of change in the number of bacteria. These amounts create a geometric sequence. Use the data in the table to determine the sum of the amounts of change in the bacteria after the seventh day. Day Amount of Change in Bacteria 1 2 2 −8 3 32 4 −128 A) −6553.2 B) −10.8 C)6554 D)11.6
Answer:
The correct option is;
C) 6554
Step-by-step explanation:
The given data are;
Day, Amount of change in Bacteria
1, 2
2, -8
3, 32
4, -128
Given that the data follows a geometric sequence, we have;
The first term of the series = 2, the common ratio = -4, the sum of a geometric progression is given by the following formula;
[tex]S_n = \dfrac{a \times \left (r^n - 1\right )}{r - 1}[/tex]
Which gives;
[tex]S_7 = \dfrac{2 \times \left ((-4)^7 - 1\right )}{(-4) - 1} = \dfrac{2 \times \left (-16384- 1\right )}{-4 - 1} = \dfrac{2 \times \left (-16385\right )}{-5} = 6554[/tex]
Therefore, the correct option is C) 6554.
Which of the following are not natural numbers? There may be more than one correct answer. Select all that apply. If only one answer is correct, select "only" and the answer that applies. A.)−1,−2,−3,… B.) 0 C.) 1,2,3,… D.) only E.) fractions
Answer:
A,E
Step-by-step explanation:
Natural numbers include the normal counting number like 1, 2, 3, and so on and also 0.
B) does not work as negative numbers are not numbers we start counting in
E) does not work as we don't count in fractions
The measures of the angles of a triangle are shown in the figure below. Solve for x.
Answer:
x = 5
Brainliest, please!
Step-by-step explanation:
90 + 39 + (7x + 16) = 180
7x + 145 = 180
7x = 180 - 145
7x = 35
x = 5
Answer:
x=5
Step-by-step explanation:
Sum of the angles in a triangle is 180.
7x +16 +39 +90= 180
7x + 125 = 180
7x = 180-145
7x=35
x=35/7
x=5
Los jornales de dos obreros suman S/.60. Si uno de ellos gana S/.12
más que el otro. ¿Cuánto ganan cada uno de ellos?
Answer:
Cada uno de ellos gana:
S/. 24
S/. 36
Step-by-step explanation:
Planteamiento:
a + b = 60
a = 12 + b
Desarrollo:
sustituyendo el valor de la segunda ecuación del planteamiento en la primer ecuación del planteamiento:
(12+b) + b = 60
2b + 12 = 60
2b = 60 - 12
2b = 48
b = 48/2
b = 24
de la segunda ecuación del planteamiento:
a = 12 + b
a = 12 + 24
a = 36
Check:
24 + 36 = 60
solve 6x + 3 < x < 3x + 9 for integers values of x
Answer:
-9/2 < x < -3/5
Step-by-step explanation:
So first, we take the left part of the inequality to solve and ignore the right part for now, which leaves us 6x + 3 < x.
1. Subtract 3 from both sides:
6x < x - 3
2. subtract x from both sides:
5x < -3
3. divide 5 from both sides:
x < -3/5
Then, we do the same thing as part 1, but this time with x < 3x + 9.
1. Subtract 9 from both sides:
x - 9 < 3x
2. subtract x from both sides:
-9 < 2x
3. divide both sides by 2:
-9/2 < x.
Notice how we have a value that x is less than and a value that x is greater than. So now, all we have to do is to put the two inequalities together, leaving only one x in the middle. Hence, -9/2 < x < -3/5.
I hope this helped! :D
[tex]\\ \sf\longmapsto 6x + 3 < x < 3x + 9 \\ \\ \sf\longmapsto 6x - 3x < x < 9 - 3 \\ \\ \sf\longmapsto 3x < x < 6 \\ \\ \sf\longmapsto x < \frac{x}{3} < 2[/tex]
Two lines, C and D. are represented by the equations given below.
Line C: y = x + 10
Line D: y = 3x + 2
Which of the following shows the solution to the system of equations and explains why?
(5, 17), because one of the lines passes through this point
(5. 17), because the point lies between the two axes
(4, 14), because the point does not lie
on any axis
(4, 14), because both lines pass through this point
PLEASE HELP ME ASAP!! I NEED ANSWERS AND EXPLANATIONS FAST!!!
Answer:
d. [tex]\angle BIJ \cong \angle CGJ\ and\ \angle BJI \cong \angle CJG[/tex]
Step-by-step explanation:
Here, we are given a diagram in which there are two triangles to be considered:
[tex]\triangle CJG \ and\ \triangle BJI[/tex].
We can consider the whole diagram in the form as attached in the answer area.
To find:
The conditions to prove [tex]\triangle CJG \sim \triangle BJI[/tex].
Solution:
First of all, let us learn about AAA similarity.
AAA stands for Angle Angle Angle.
i.e. when we prove that the all the three corresponding angles of two triangles are equal ,the triangles are similar.
There is one more property of the triangles, that if two angles of two triangles are equal then the third angle of the triangles will also be equal to each other.
So, actually, to prove that [tex]\triangle CJG \sim \triangle BJI[/tex], we need the conditions that two corresponding angles of the triangles are equal to each other, then we can say that third angle will also be equal. Therefore the triangles will be similar to each other.
Let us consider the corresponding angles:
[tex]\angle BIJ \ and \ \angle CGJ\ ,\ \angle BJI \ and \ \angle CJG\ , \ \angle IBJ\ and \ \angle GCJ[/tex]
So, if we are given that any of the two above three pairs are equal/congruent to each other, we can prove [tex]\triangle CJG \sim \triangle BJI[/tex].
Therefore, the correct answer is:
d. [tex]\angle BIJ \cong \angle CGJ\ and\ \angle BJI \cong \angle CJG[/tex]
40 POINTS!!!!
ANSWER ASAP!!!
What is the value of y?
O 3 sqrt 3 units
O 6 sqrt 3 units
O 9 sqrt 3 units
O 12 sqrt 3 units
Answer:
6 sqrt(3) = y
Step-by-step explanation:
We can use the leg rule to find y
hyp leg
----- = -------
leg part
9+3 y
----- = -------
y 9
Using cross products
12*9 = y^2
108 = y^2
Taking the square root of each side
sqrt(108) = sqrt(y^2)
sqrt(36 *3) = y
6 sqrt(3) = y
Answer: B) 6/3 units
Step-by-step explanation:
Compute the value of each expression: |−12|−2|−6|
Answer:
12, 2, 6
Step-by-step explanation:
I have a frequency of 20.0 Hz, if this frequency travels through the air with a speed of 331 m/s, what is it's wavelength
Answer:
16 m
Step-by-step explanation:
c=f×m
331=20m ( divide by 20 both side)
therefore m=16.55m
A number “x” increased by 5 is 19?
Answer:
x+5=19
Step-by-step explanation:
i think that right let me know...:/
Answer:
x= 14
Step-by-step explanation:
a number x increased by 5, so it will be x + 5 and is in math means equals to so it becomes
x+5=19
19-5=x
14=x
plz help me Which relations are linear? Nonlinear? Explain how you know. TABLE X -2,-1,0,1,2AND Y,4,1,0,1,4,
Answer:
non-linear
Step-by-step explanation:
The given points do not fall on a straight line when plotted on a graph.
__
If you realize that the x-values go up, and the y-values go down and up, then you know the relation cannot be linear. That is, its graph cannot be a straight line.
What is the value of b?
Answer:
55°
Step-by-step explanation:
Perhaps you want the measure of angle B. (There is no "b" in the figure.)
That measure is half the measure of the intercepted arc:
m∠B = 110°/2 = 55°
Angle B is 55°.
5. Brian's cylindrical water tank has a diameter of 4m and a height of 2m.
i) Find the volume of the tank (to the nearest litre)
ii)Find the depth of the water in the tank when it has 2000L of water (to the nearest
centimeter)
Answer:
i) 25130 Liters
ii) 16 cm
Step-by-step explanation:
The volume of the tank is in cubic meters, not liters. So the answer to question i) would be 25.13 cubic meters, which equals 25130 Liters.
ii) Now we find the depth. 2000 is 7.959% of 25130. 7.959% of the 2 meter height is 15.917 cm. Rounded to the nearest cm, it would be 16 cm.
What is the value of x?
Answer:
might be 50 b cause 50+55is 105 which is the are outside the triangle
Step-by-step explanation:
hi
Answer:
To solve this problem, you can write a simple equation:
55+x=105
This equation works, thanks to the exterior angle theorem.
Solving for x, we see that it is equal to 50 degrees.
Let me know if this helps
When writing a equation how do you know where to put the equal sign ?
Answer:
The equal sign is generally placed at the separation between the left hand side and the right hand side
Step-by-step explanation:
Basically a typical equation has two parts, and one part is seen to be equal to the other part, and they are:
1. The left hand side2. The right hand sideGenerally equations are expressed algebraically,that is using letters/ alphabets and symbols to express mathematical relations
The left hand side mostly is the solution of the equation, while the right hand side contains symbols, alphabets used to find solution to the equation.
Geometry, please answer question ASAP
Answer:
i think 60 degree is the answer
Answer:
72°
Step-by-step explanation:
There are 5 petals , so
angle of rotation = 360° ÷ 5 = 72°
16. What is the measure of ZAOB?
You will be marked brainliest if you tell me how step by step.
A. 92x + 280 < 1,108
B. 280x + 92 > 1,108
C. 280x + 92 < 1,108
D. 92x + 280 > 1,108
Answer:
whats the question
Step-by-step explanation:
for me to help
En una fábrica de automóviles que trabaja las 24 horas se arman diariamente 24
automóviles tipo Sedan, 16 camionetas tipo SUV, 12 camionetas tipo VAN, 8
Camionetas tipo Pick-up y 2 automóviles deportivos.
Cl costo de producción y el precio de venta de cada vehículo es el siguiente:
Costo de
Vehículo
Precio de
Producción Venta
SEDAN
SEDAN
DEPORTIVO
$140,000 $185.000
SUV
$250,000
$320,000
VAN
$310,000
$400,000
PICK-UP
PICK-UP
$210,000
$285,000
VAN
DEPORTIVO
$400,000
$550,000
SUV
Cada año transcurrido, posterior a su fabricación, el precio de venta de los
vehículos disminuye una octava parte de su valor.
a suponiendo que en un día se vendan los vehículos en igual cantidad de los
que se fabricaron, como podrías calcular la ganancia?
b
Si la fábrica trabajara solo 12 horas, existe una forma de calcular cuántos
vehiculos se fabrican, ¿cuantos se fabricaron en este lapso? Sustenta tu
respuesta
Answer:
a. La ganancia es de $ 4,060,000.00
b. 31 vehículos
Step-by-step explanation:
(a) Los parámetros dados son;
El número de automóviles tipo sedán fabricados = 24
El número de camiones tipo SUV fabricados = 16
El número de camiones tipo VAN fabricados = 12
El número de camionetas pick-up fabricadas = 8
El número de autos deportivos fabricados = 2
La ganancia por la venta de autos tipo sedán = $ 185,000 - $ 140,000 = $ 40,000
La ganancia por la venta de camionetas tipo SUV = $ 320,000 - $ 250,000 = $ 70,000
La ganancia por la venta de camiones tipo VAN = $ 400,000 - $ 310,000 = $ 90,000
La ganancia por la venta de las camionetas pick-up = $ 285,000 - $ 210,000 = $ 75,000
La ganancia por la venta de los autos deportivos = $ 550,000 - $ 400,000 = $ 150,000
La ganancia = 24 * $ 40 000 + 16 * $ 70 000 + 12 * $ 90 000 + 8 * $ 75 000 + 2 * $ 150 000 = $ 4060 000
(b) Por lo que hay una tasa de producción constante, solo la mitad de los automóviles se producirán dentro del período de 12 horas
Por lo tanto, tu fabricado
12 autos sedán, 8 camionetas tipo SUV, 6 camionetas tipo VAN, 4 camionetas pick-up y 1 auto deportivo para hacer un total de 31 vehículos.
hey can you help me w/ some math ?? i make $8.50 an hour. monday through sunday only wednesday’s off. how much will i have in 2 years from today ? monday, tuesday & sunday is from 4-9pm .... then friday,saturday & sunday is from 4-10pm.
Answer:
$29252.1669
Approximately $29252.1
Step-by-step explanation:
For Monday, Tuesday and Sunday:
=> 8.50 x 5 x 3
=> 8.5 x 15
=> 127.5
I multiplied 8.5 and 5 because you work for 5 hours. Then multiplied them with 3 it is for 3 days.
For Friday, Saturday, Thursday:
=> 8.5 x 6 x 3
=> 8.5 x 18
=> 153
I multiplied 8.5 and 6 because you work for 6 hours. Then multiplied them with 3 because it is for 3 days.
In 1 week you get:
=> 153 + 127.5
=> 280.5
In 1 year there are 52.1429 weeks.
So, you get:
=> 52.1429 x 280.5
=> 14626.08345
For 2 years, you get:
=> 14626.08345x 2
=> 29252.1669
=> Approximately $29252.1
If a muffin costs 7¢, how much will 3 muffins cost?
Answer:
21 cents
Step-by-step explanation:
Take the cost per muffin and multiply by the number of muffins
7 cents * 3 muffins
21 cents