Answer:
b/ 16 g/ml
Step-by-step explanation:
density = mass / volume
= 48g/3ml
State the domain, the range, and the intervals on which function is increasing, decreasing, or constant in interval notation
Answer:
Domain: [tex][-1,\infty)[/tex]
Range: [tex](-\infty, 3][/tex]
Decreases over: [tex](-1,-\infty)[/tex]
Step-by-step explanation:
Given
[tex]f(x) = -\sqrt{x + 1} + 3[/tex] --- Missing from the question
Solving (a): The domain
To get the domain, the expression under the square root must not be negative.
In other words:
[tex]x + 1 \ge 0[/tex]
Solve for x
[tex]x + 1 -1\ge 0-1[/tex]
[tex]x \ge -1[/tex]
Hence, the domain is:
[tex][-1,\infty)[/tex]
To get the range, we plot the values of the domain in the expression.
[tex]x = -1[/tex]
[tex]f(x) = -\sqrt{x + 1} + 3[/tex]
[tex]f(-1) = -\sqrt{-1+1} +3[/tex]
[tex]f(-1) = -\sqrt{0} +3[/tex]
[tex]f(-1) = -0 +3[/tex]
[tex]f(-1) = 3[/tex]
[tex]x = \infty[/tex]
[tex]f(\infty) = -\sqrt{\infty +1}+3[/tex]
[tex]f(\infty) = -\sqrt{\infty}+3[/tex]
[tex]f(\infty) = -\infty+3[/tex]
[tex]f(\infty) = -\infty[/tex]
So, the range is: [tex](-\infty, 3][/tex]
To get the interval where the function increases or not, we simply plot the graph of f(x).
See attachment for graph.
From the attachment, it will be observed that the graph of f(x) continuously decreases from x = -1, and it never increased.
This implies that, the graph decreases over the interval [tex](-1,-\infty)[/tex]
divide (6.9 x 10^7) / (2.3 x 10^-3)
Step-by-step explanation:
step 1. 6.9/2.3 = 3
step 2. 10^7/10^-3 = 10^(7- -3) = 10^(7 +3) = 10^10
step 3. answer: 3 x 10^10.
Can you help me on this?
Answer:
Out of curiosity, what is making this problem difficult?
Step-by-step explanation:
initially there are 20 rabbits, so the '?' is asking for that
I need to answer this please
2. Each of the bracelets that Veronica made has 45 beeds. Shemede 4 bracelets.
How many total beads did she use?
Answer:
180 total beads used
Step-by-step explanation:
=) have a good day
help me pls !!!!!!!!!!
Answer:
the answer is B
Step-by-step explanation:
Help. Do not take advantage of the points, please.
Answer:
?
Step-by-step explanation:
Answer:
Umm what's the question
The radius of a cylindrical gift box is (3x+1) inches. The height of the gift box is twice the radius. What is the surface area of the cylinder? Write your answer as a polynomial in standard form.
Answer:
56πx² + 36πx + 6π square inches
Step-by-step explanation:
The radius of a cylindrical gift box is (3x+1) inches. The height of the gift box is twice the radius. What is the surface area of the cylinder? Write your answer as a polynomial in standard form.
The surface area of a cylinder is given as:
2πr(r + h)
The radius of a cylindrical gift box is (3x+1) inches.
The height of the gift box is twice the radius = 2(3x + 1) inches
= 6x + 2 inches
The surface area of the cylinder is:
= 2 × π × 3x + 1( 3x + 1 + 6x + 2) square inches
= 2 × π × 3x + 1(9x + 3) square inches
= 2π × 3x + 1(9x + 3) square inches
= 6πx + 2π( 9x + 3) square inches
= 6πx (9x + 3) + 2π( 9x + 3) square inches
= 56πx² + 18πx + 18πx + 6π square inches
= 56πx² + 36πx + 6π square inches
The surface area of the cylinder is 56πx² + 36πx + 6π square inches
If each quadrilateral below is a trapezoid, find the missing measures.
#1
Answer:
C = 101
E = 46
Step-by-step explanation:
79 + 134 = 213
180 - 79 = 101 (C+F has to equal 180)
79 + 134 + 101 = 314
360 - 314 = 49 (trapezoids have a total degree of 360)
The measure of angles are ∠C = 101°, ∠E = 46°, ∠J = 83°, ∠L =97°, and ∠M = 97°.
It is given in the picture that measures the angles of a trapezoid.
It is required to find the other angles.
What is a trapezoid?It is defined as the quadrilateral having four sides in which two sides are parallel to each other it is a 2-dimensional geometry.
We have a trapezoid CDEF in which ∠D = 134° and ∠CFE = 79°
We know in trapezoid:
∠C+∠F = 180° and
∠D+∠E = 180°
For ∠C = 180° - ∠F ⇒ 180° - 79° ⇒ 101°
For ∠E = 180° - ∠E ⇒ 180° - 134° ⇒46°
We have another trapezoid JKLM in which ∠K = 83°
We know in isosceles trpezoid:
∠K = ∠J = 83° and
∠L = ∠M
∠L = 180° - ∠K ⇒ 180° - 83° ⇒ 97° ⇒ ∠M
Thus, the measure of angles are ∠C = 101°, ∠E = 46°, ∠J = 83°, ∠L =97°, and ∠M = 97°.
Learn more about the trapezoid here:
https://brainly.com/question/8643562
Alejandro recibio su tiket de compra por 2 cajas de pastillas de $320 cada uno y un costo de aplicación y revisión. Su pago final fue de $470 ¿Cuánto pagó por su pago por la aplicación y revisión? Plantea la ecuación.
Answer:
$150
Step-by-step explanation:
Costo de 2 cajas de pastillas = $ 320
Costo de la solicitud y tarifa de revisión = x
La ecuación se da como:
320 + x = 470
x = 470 - 320
x = 150
El costo de la solicitud y la tarifa de revisión = $ 150
5
If x = 4, what is the value of x(14 - x)?
OA
40
OB
44
16
Math
Answer:
when x=4
the value of x(14 - x)=4(14-4)=4×10=40
In AEFG, the measure of ZG=90°, FG = 2.3 feet, and EF = 8.9 feet. Find the measure
of ZF to the nearest degree.
Answer:
75
Step-by-step explanation:
Q.8) In ΔABC, angle B = 90°, angle A = 60°, angle C = 30°, AC = 17 then AB is.... *
Answer: AB = 150 degrees
Step-by-step explanation: 90 + 60 = 150
A parallelogram has an area of 108 in.² the best of the parallelogram is 18 inches find the height.
Answer:
h= 6 in
Step-by-step explanation:
A= bh
A= 108
b= 18
108= 18h
108/18=6
That’s ok if you can’t help, but I would appreciate if you could
hepl me what is the answer to this math question
Answer:
c
Step-by-step explanation:
I really need help Please
Answer:
43
Step-by-step explanation:
180 - (109+28) = 43
the sum of all angles in a triangle is 180
please help, giving points and brainlest !!
Answer:
14.9 dollars
Step-by-step explanation:
1. There are 30 students and if everyone pay the same, it will be 14.9 dollar. Because the total is 447 dolar and if everyone pay equally, then everyone have the same amount. So, 447 dollar divided to 30 student equal 14.9 per student.
2. The essential information is the total cost of money and the amount of student.
3. 30m = 447
/30 /30
m= 14.9 dollar
4. 14.9*30 = 447
Please like if I got it right.
Write an expression equivalent to m + m + m + m that is a sum of two terms.
Answer:
5m
Step-by-step explanation:
add them and add 1
An expression equivalent to m + m + m + m as a sum of two terms is 4m.
What is Expression?An expression is combination of variables, numbers and operators.
The given expression is:
m + m + m + m
Equivalent expressions are expressions that work the same even though they look different.
We can combine like terms to simplify the expression:
m + m = 2m
Now plug in the expression of m+m in the given expression.
So the expression becomes:
m + m + m + m = 2m + 2m
Now we have expressed the given expression as a sum of two terms, which are both 2m:
2m + 2m = 4m
Therefore, an expression equivalent to m + m + m + m as a sum of two terms is 4m.
To learn more on Expressions click:
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#SPJ2
Which expression is equivalent to (5^2) ^4 • 5^5
A) 5^11
B) 5^13 C)5^30
D) 5^40
Answer:
B
Step-by-step explanation:
(5^2) ^4 • 5^5 = 1220703125
5^13 = 1220703125
find the slope of the line that passes through the coordinates (3,-6) and (-9,2)
9514 1404 393
Answer:
-2/3
Step-by-step explanation:
The slope formula is useful for this.
m = (y2 -y1)/(x2 -x1)
m = (2 -(-6))/(-9 -3) = 8/-12
m = -2/3
The slope of the line is -2/3.
__
The graph shows the two points and a line with a slope of -2/3.
Math help please answer question a and b ( show work please)
Answer:
a) 24 degrees
b) 50 degrees
Step-by-step explanation:
part a : use sine-1
sine-1 = [tex]\frac{opposite}{hypotenuse}[/tex]
sine-1 = [tex]\frac{17}{42}[/tex]
sine-1 = 0.405
missing angle = 23.89
round to the nearest degree = 23.89 = 24
part b : use cosine-1
cos-1 = [tex]\frac{adjacent}{hypotenuse}[/tex]
cos-1 = [tex]\frac{16}{25}[/tex]
cos-1 = 0.64
missing angle = 50.208
round to the nearest degree = 50.208 = 50
James ran 4 laps and walked 2 laps When running his average speed was 2.5 minutes per lap When walking his average speed was 4.9 minutes per lap How long did it take James to complete 6 laps? 7.4 minutes 9.9 minutes 14.8 minutes Or 19.8 minutes
Answer:
19.8 minutes
Step-by-step explanation:
Total time the 4 laps was completed = 4 x 2.5 = 10 minutes
Total time the 2 laps was completed = 2 x 4.9 = 9.8 minutes
total time = 10 minutes + 9.8 minutes = 19.8 minutes
If a, b and care nonzero real numbers, which expression is equivalent to a (b - c) - b(a - c)?
ac - bc
-ac + bc
2ab - ac- bc
2ab - ac + bc
Two fair coins are being used in a probability experiment. During each trial of the experiment, the
coins are flipped and the outcomes are recorded with H representing heads and T representing tails.
There are four possible outcomes: HH. HT. TH, and TT. What is the probability, on each trial of the
experiment, that the outcome is one head and one tail, in any order?
25%
33%
50%
75%
Answer: 50%
Step-by-step explanation:
If we can get a head tails combo in any order we could get a head/tails or a tails/head so there is a 50% probability of getting that combo in a trial
A city has 3 new houses for every 8 old houses. If there are 27 new houses in the city, how many old houses are there?
Answer:
72 old houses
Step-by-step explanation:
The office lunchroom is open Monday through Thursday. On Monday, 314 people ate lunch there. On Tuesday and Wednesday, 265 people ate lunch in the lunchroom. All 520 employees ate lunch there on Thursday. How many more people ate in the lunchroom on Thursday than on Monday?
Answer:
There were 206 more people on Thursday than on Monday.
Step-by-step explanation:
520 - 314 = 206
tengo cierta cantidad de caramelos . si los agrupo de a 3 me sobran dos, de a 4 me sobra uno y de a 5 no me sobra ninguno . cuantos caramelos puedo tener ? ? ayuda
Step-by-Tarea:
Tengo una cantidad de caramelos. Si los agrupo de a tres me sobran dos, si los agrupo de a cuatro me sobra uno y si los agrupo de a cinco no me sobra ninguno. ¿Cuántos caramelos puede ser que tenga?
- Solución:
✤ Si agrupa los caramelos de a cinco no sobra ninguno. Entonces la cantidad de caramelos es un múltiplo de cinco. Recuerda que un múltiplo es un número que contiene una cantidad exacta de veces a otro número.
Para hallar los múltiplos de cinco debemos multiplicar a cinco por cualquier otro número. Algunos ejemplos de múltiplos de cinco son 5, 10, 15 y 20. Estos números son múltiplos de cinco porque lo contienen una cantidad de veces exactas:
5 . 1 = 5
5 . 2 = 10
5 . 3 = 15
5 . 4 = 20
Por ejemplo el número 20 es múltiplo de cinco porque lo contiene cuatro veces exactas.
Si los agrupa de a tres sobran dos caramelos y si los agrupa de a cuatro sobra un caramelo. Entonces el menor número de caramelos que puede tener es cinco.
Si los agrupa de a cinco no sobra ninguno (el resto o residuo es cero):
5 l__5__
0 1
Si los agrupa de a tres, sobran dos (el resto es dos):
5 l__3__
2 1
/
Si los agrupa de a cuatro, sobra uno (el resto es uno):
5 l__4__
1 1
/
Otros ejemplos de cantidades de caramelos que puede tener son 65, 845, entre otras.step explanation:
can someone please help I need it right now!!
Answer:
y=9x
Step-by-step explanation:
First let's find the slope of this.
To find the slop we can take two points.
(1,9) & (3,27)
27-9/ 3-1 (slope equation) = 18/2=9
The slope of the equation is 9.
Now let's use point-slope form to find the equation.
(1,9)
y-9=m(x-1) (substitute the x2 and y2 values for the coordinate values)
y-9=9(x-1) (substitute m for the slope)
y=9x-9+9
y=9x
find y for -4 + 3y = 8 please help asap
Answer:
y = 4
Step-by-step explanation:
First isolate y
-4 + 3y = 8
3y = 8 + 4
3y = 12
y = 4
Answer:
Y=4
Step-by-step explanation:
3y=12
y=4