Answer:
543.48 millimetre
Step-by-step explanation:
mass/density = volume
500 grams / 0.92 grams per millimetre = 543.48
Answer:
volume = 543.478 cm³
Step-by-step explanation:
Density = mass / volume
0.92g/ml = 500g / volume
volume (0.92g/ml) = 500g
volume = 500g / (0.92g/ml)
volume = 543.478 ml (aprox. to the nearest mililiter)
1 ml = 1cm³
543.478ml = 543.478 cm³
What is the standard form of function f ?
Answer:
f(x) = 4x² + 48x + 149
Step-by-step explanation:
f(x) = 4(x + 6)² + 5
The above expression can be written as: f(x) = ax² + bx + c, by doing the following:
1. Expand (x + 6)²
(x + 6)² = (x + 6)(x + 6)
(x + 6)(x + 6)
x(x + 6) + 6(x +6)
x² + 6x + 6x + 36
x² + 12x + 36
(x + 6)² = x² + 12x + 36
2. Substitute x² + 12x + 36 for (x + 6)² in
f(x) = 4(x + 6)² + 5
This is illustrated below:
f(x) = 4(x + 6)² + 5
(x + 6)² = x² + 12x + 36
f(x) = 4(x² + 12x + 36) + 5
Clear bracket
f(x) = 4x² + 48x + 144 + 5
f(x) = 4x² + 48x + 149
Therefore, the standard of the function:
f(x) = 4(x + 6)² + 5
is
f(x) = 4x² + 48x + 149
Verify the identity. cos quanity x plus pi divided by two = -sin x
Answer:
see below
Step-by-step explanation:
cos ( x+pi/2) = -sinx
We know that
cos(A + B) = cos A cos B - sin A sin B
Let x = A and pi/2 = B
cos x cos pi/2 - sin x sin pi/2 = -sin x
We know cos pi/2 = 0 and sin pi/2 = 1
cos x * 0 - sin x *1 = -sin x
- sin x = - sin x
Newly planted seedlings approximately double their weight every week. If a seedling weighing 5 grams is planted at time t=0 weeks, which equation best describes its weight, W, during the first few weeks of its life?
Answer:
[tex]W(t)=5(2^t)[/tex]
Step-by-step explanation:
Given that the Newly planted seedlings approximately double their weight every week and a seedling weighing 5 grams is planted at time t = 0 weeks. This represent an exponential function with an equation in the form:
[tex]W(t)=ab^t[/tex].
W(t) is the weight in t weeks, t is the weeks and a is the weight when t = 0. At t = 0, W = 5 g:
[tex]W(t)=ab^t\\W(0)=ab^0\\5=ab^0\\a=5[/tex]
Since the weight double every week, b = 2. The exponential function is given as:
[tex]W(t)=ab^t\\\\W(t)=5(2^t)[/tex]
The graph below represents which of the following functions?
Answer:
Option (B).
Step-by-step explanation:
From the figure attached,
There are two pieces of the function defined by the graph.
1). Curve with the domain (-∞, 2)
2). Straight line with domain (2, ∞)
1). Function that defines the curve for x < 2,
f(x) = |4 - x²|
2). Linear function which defines the graph for x ≥ 2 [Points (2, 2), (4, 4), (6, 6) lying on the graph]
f(x) = x
Therefore, Option (B) will be the answer.
a businessman bought three machines at rs 5400 each and spent 4000 on rearing and sold the machines for Rs Rs 7000 each, how much profit didi he make?
Answer:
[tex] \boxed{Rs \: 800}[/tex]Step-by-step explanation:
Cost price of three machines with repairment charge ( CP ) = 5400 × 3 + 4000
= Rs 20200
Selling price of 1 machine = Rs 7000
Selling price of 3 machines ( S.P )= Rs 7000 × 3
= Rs 21000
Since , SP > CP , he made a profit
Profit = SP - CP
= Rs 21000 - Rs 20200
= Rs 800
--------------------------------------------------------------
Further more explanation
Profit and loss
In any business , owners have intension to have profit by selling articles. The price at which an article is purchased is called it's Cost price ( C.P ) and the price at which it is sold is called Selling price ( S.P ).
If the selling price is less than cost price of an article then there is a loss.
[tex] \mathrm{Loss \: = \: Cost \: Price \: (C.P) - Selling \: Price \: (S.P)}[/tex]
If the selling price is more than cost price of an article then there is a profit ( gain )
[tex] \mathrm{Profit = Selling \: Price \: (S.P) - Cost \: Price \: (C.P)}[/tex]
So, If S.P > C.P, there is profit in dealing.
If C.P > SP , there is loss in dealing.
Hope I helped!
Best regards!!
Which equation represents a population of 320 animals that decreases at an annual rate of 19% ?
A. p=320(1.19)t
B. p=320(0.81)t
C. p=320(0.19)t
D. p=320(1.81)t
Use the ^ symbol to indicate exponents. So for instance 4^2 = 4 squared.
A decrease of 19% means we have r = -0.19 and 1+r = 1+(-0.19) = 0.81 as the base of the exponent. A decrease of 19% means the population retains 81% each year.
Based on the table, which best predicts the end
behavior of the graph of f(x)?
Answer:
approaching negative infinity
Step-by-step explanation:
Since as x increases, the values of f(x) are approaching infinity, the function approaches negative infinity as the end behavior.
Answer:
Below.
Step-step-explanation:
As x increases from negative infinity f(x) decreases in value .
As x increases to positive infinity f(x) decreases in value.
For values of x on the negative side the graph rises to the left and on the positive x -axis it falls to the right.
4
Р
3
5
Q
2
.
2.5
1. The scale factor of the dilation that takes P to Qis
2. The scale factor of the dilation that takes to Pis
Blank 1:
Blank 2:
Helppppp!!
Answer:
a. 1.25
b . 0.8
Step-by-step explanation:
This is a question in scale factors
a. The sable factor that takes P to Q
In P, we are having sides 4, 2 and 3
In Q, we are having sides 2.5 and 5
From the diagrams and using the similar sides, we can see that the side length 4 became 5 while the side length 2 became 2.5
So the scale factor would be;
4 * x = 5
or
2 * x = 2.5
Where x is that dilation factor that transformed 4 into 5
Thus, x would be 5/4 or 2.5/2 = 1.25
b. The scale factor that takes Q to P
This is the direct opposite of what we have in the first question.
Here, we want to go from Q to P
To get this, we simply divide what we have in P by what we had in Q
Hence, what we do here is;
2/2.5 or 4/5 = 0.8
PLS ANSWER I WILL GIVE BRAINLIST AND A THANK YOU
Answer:
x= 6 degrees
Step-by-step explanation:
x+x+54 = 90
2x+54 = 90
x= 90- 54 /2
x =6
Answer:
x = 6
Step-by-step explanation:
90 - 54 = 36
x + 5x = 6x
36 + 6x = 90
90 - 36 = 6x
36/6x = 6
x = 6
What is 100,000+4,000+800+5 in standard form
Answer: 104,805
Step-by-step explanation:
just add
Answer:
104,805
Step-by-step explanation:
add it in each placement form
need help...!! plzzz
Maria cut four equivalent lengths of ribbon. Each was 5 eighths of a yard long. How many yards of fabric did she cut?
Answer:
2.5 Yards
Step-by-step explanation:
Multiply 5/8 by 4
2. A cylinder has a height of 4.5 cm and a diameter of 1.5 cm. What is the surface area of the cylinder in square centimeters? Use 3.14 for pi.
21.2
31.8
7.9
24.7
Answer:
[tex] SA = 24.73~cm^3 [/tex]
Step-by-step explanation:
[tex] SA = 2\pi r^2 + 2\pi r h [/tex]
r = d/2 = (1.5 cm)/2 = 0.75 cm
[tex] SA = 2(3.14)(0.75~cm)^2 + 2(3.14)(0.75~cm)(4.5~cm) [/tex]
[tex] SA = 24.73~cm^3 [/tex]
Answer:
24.7
Step-by-step explanation:
took this exam and got it right
Give another name plane L
Answer:
Any one of these three works:
plane MOU
plane MNU
plane NOU
Step-by-step explanation:
A plane can be named by a single letter, such as L in this problem, or by any three non-collinear points that lie on the plane. Non-collinear points are points that do not all lie in a single line.
Points M, N, O, and U lie on plane L, so you can choose any 3 of the 4 points to name the plane with, but make sure all 3 points are non-collinear.
To name plane L with points, you cannot use points MNO together since they are collinear, but you can name it using point U plus any two of the points M, N, and O.
plane L can be named
plane MOU
plane MNU
plane NOU
Do not name it plane MNO
in this figure ST || QR, PT = 4cm, TR = 8cm, area of PQR = 90cm^2. Find PT:TR please help me
Answer: The required ratio is PT:TR = 1:2.
Step-by-step explanation:
Given: In triangle PQR, ST || QR, PT = 4cm, TR = 8cm, area of PQR = 90 cm².
To find : PT:TR
.i.e. Ratio of PT to TR.
Here, PT:TR[tex]=\dfrac{PT}{TR}[/tex]
[tex]=\dfrac{4\ cm}{8\ cm}[/tex]
Divide numerator and denominator by 4 , we get
[tex]\dfrac{1}{2}[/tex]
Therefore, the required ratio is PT:TR = 1:2.
What is a21 of the arithmetic sequence for which a7=−19 and a10=−28? A. -35 B. 35 C. -58 D. -61
Answer:
a21 = -61
Step-by-step explanation:
[tex]a_{n}=a_{1}+(n-1)d[/tex]
[tex]-19=a_{1}+(7-1)d[/tex]
[tex]-28=a_{1}+(10-1)d[/tex] (subtract to eliminate a₁)
9 = -3d
d = -3
-19 = a₁ + (6)(-3)
-1 = a
a21 = -1 + (21 - 1)(-3)
= -61
Answer:
-61 (Answer D)
Step-by-step explanation:
The general formula for an arithmetic sequence with common difference d and first term a(1) is
a(n) = a(1) + d(n - 1)
Therefore, a(7) = -19 = a(1) + d(7 - 1), or a(7) = a(1) + d(6) = -19
and a(10) = a(1) + d(10 - 1) = -28, or a(1) + d(10 - 1) = -28
Solving the first equation a(1) + d(6) = -19 for a(1) yields a(1) = -19 - 6d. We substitute this result for a(1) in the second equation:
-19 - 6d + 9d = -28. Grouping like terms together, we get:
3d = -9, and so d = -3.
Going back to an earlier result: a(1) = -19 - 6d.
Here, a(1) = -19 - 6(-3), or a(1) = -1.
Then the formula specifically for this case is a(n) = -1 - 3(n - 1)
and so a(21) = -1 - 3(20) = -61 (Answer D)
Plz help ASAP!! WILL MARK BRAINLIST for the correct answer
The table represents a function because each input (x-value) corresponds to exactly one output (y-value)
If we had repeated x values, then that is a sign we don't have a function. So for instance, if we had the two points (1,5) and (1,6) then we don't have a function because the input x = 1 corresponds to outputs y = 5 and y = 6 simultaneously.
Note: the y values are allowed to repeat and we still have a function, but this function is not one-to-one because of the repeated value y = 2.
Answer:
No idea dude
Step-by-step explanation:
I just need points
PLSSS HELP I would appreciate it
Answer:
x = 12.6 degrees
Step-by-step explanation:
Using the property of alternate interior angles, we can say that m<A is equivalent to m<E.
m<A = m<E
63 = 5x
12.6 = x
So, x = 12.6 degrees
Cheers.
Which transformations to the graph of j(x) would result in the graph of j(4x)-27
Answer:
Composition and vertical translation must be done in the parent function.
Step-by-step explanation:
Let be [tex]j(x)[/tex] the parent function, if [tex]g(x) = j(4\cdot x) -27[/tex], then two transformation must be done in the following order:
Composition
[tex]j \circ h (x) \rightarrow j(h(x))[/tex], where [tex]h(x) = 4\cdot x[/tex]
Vertical translation
[tex]g(x) = j(4\cdot x) -27[/tex]
Composition and vertical translation must be done in the parent function.
Answer: Option D
Horizontal compression by a factor of 1/4, and a translation 27 units down
If f(x)= Square root of X +12 and g(x)= 2 Square root of X what is the value of (f-g)(144)
Answer:
0
Step-by-step explanation:
Quadrilateral ABCD has coordinates A (3, 1), B (4, 4), C (7, 5), D (6, 2). Quadrilateral ABCD is a (4 points)
Answer:
Quadrilateral ABCD is a SQUARE
Step-by-step explanation:
When we are given coordinates (x1, x2) and (y1 , y2) for a Quadrilateral, we solve for the sides using this formula.
√(x2 - x1)² + (y2 - y1)²
A (3, 1), B (4, 4), C (7, 5), D (6, 2)
Side AB = A (3, 1), B (4, 4)
√(x2 - x1)² + (y2 - y1)²
= √(4 - 3)² + (4 - 1)²
= √1² + 3²
= √1 + 9
= √10
Side BC = B (4, 4), C (7, 5)
√(x2 - x1)² + (y2 - y1)²
= √(7 - 4)² + (5 - 4)²
= √3² + 1²
= √9 + 1
= √10
Side CD = C (7, 5), D (6, 2)
√(x2 - x1)² + (y2 - y1)²
= √(6 - 7)² + (2 - 5)²
= √(-1) ² + (-3)²
= √1 + 9
= √10
Side AD = A (3, 1), D (6, 2)
√(x2 - x1)² + (y2 - y1)²
= √(6 - 3)² + (2 - 1)²
= √3² + 1²
= √9 + 1
= √10
From the above calculation,
Side AB = √10
Side BC = √10
Side CD = √10
Side AD = √10
Hence, AB = BC = CD = AD
When all the side of a Quadrilateral are the same or equal to each other, it means the Quadrilateral is a square.
Therefore, Quadrilateral ABCD is a SQUARE
After years of maintaining a steady population of 32,000, the population of a town begins to grow exponentially. After 1 year and an increase of 8% per year, the population is 34,560. Which equation can be used to predict, y, the number of people living in the town after x years? (Round population values to the nearest whole number.) y = 32,000(1.08)x y = 32,000(0.08)x y = 34,560(1.08)x y = 34,560(0.08)x
Answer:
y = 32,000(1.08)^x
Step-by-step explanation:
The exponential growth equation is y = a(1 + r)^x, where a is the initial amount, r is rate as a decimal, and x is the time.
In this situation, 32,000 is the initial amount (a) and 0.08 is the rate (r)
If we plug these into the equation, we get the equation y = 32,000(1.08)^x
So, y = 32,000(1.08)^x is the correct answer.
Answer:
A
Step-by-step explanation:
on edge 2020
Bias can _____ be completely eliminated. a) always b)sometimes c) never
Answer:
the answer is c.
Step-by-step explanation:
c is the only reasonable option.
URGENT WILL GIVE BRAINLIEST TO FIRST RESPONDER You are visiting a Redwood tree forest and want to verify the height of one of the trees. You measure its shadow along the ground and use trig to calculate the height. The shadow measures 500 feet and you calculate the angle of elevation to be 35 degrees. This forms a right triangle. a. What is the measure of the other acute angle? b. What is the height of the tree? c. You are standing at the end of the tree's shadow and want to take a picture of the tree but your camera can only focus at distance less than 500 feet. When you hold the camera to take the picture it is 5 feet above the ground. What is the distance from the end of the shadow to the top of the tree? d. Can you take a clear picture of the top of the tree from where you are standing?
Answer:
a) 55 degrees
b) 350 ft.
Step-by-step explanation:
a- the sum of angles of triangle=180
( since it is right angle , one angle is 90 degrees), x be the acute angle
x+35+90=180
x=180-125
x=55 degrees
b) tan 35= height of a tree/ length of a shadow
height of a tree=tan35*500=350.103≅350 ft ( rounded to nearest tens)
c) hypotenuse²=350.1²+500²
c=√350.1²+500²
c=610.385 ft
d) no because the distance is more than 500
The phone company offers to long-distance plans the first charges a flat value of five dollars per month plus $.99 each minute used and the second charge is $10 a month plus $.79 for each minute used if X represents the number of minutes use each month which system each of equations represent the amount of money why are you spin
Answer:
The systems of equation for the amount spent are as follows
[tex]Y= 0.99x+5[/tex]
[tex]Y= 0.79x+10[/tex]
Step-by-step explanation:
In this problem we are expect to give a model or an equation that represents the amount of money spent per month given a fix subscription amount and a variable fee which is based on extra minutes spent.
let Y represent the amount of money spent in total for the month
The first case:
Subscription =$5
charges per minutes = $0.99
therefore the amount spent can be modeled as
[tex]Y= 0.99x+5[/tex]
The second case:
Subscription =$10
charges per minutes = $0.79
therefore the amount spent can be modeled as
[tex]Y= 0.79x+10[/tex]
In 1 through 3, what is the relationship between the values of the given digits?
1. The 7s in 7,700
2. The 2's in 522
Answer:
7000 (7 thousand)
700 (7 hundred)
20 (2 tens)
2 (2 units)
Step-by-step explanation:
what is the relationship between the values of the given digits?
1. The 7s in 7,700
2. The 2's in 522
From the knowledge of place values;
7,700 could be broken down thus :
7000 + 700 + 0 + 0
The first 7 depicts thousands as it has 3 trailing digits (7000)
The second 7 depicts hundred as it has 2 trailing digits (700)
522 could be broken down thus :
500 + 20 + 2
From 522
The first '2' has one trailing digit = tens
The ending / last digit ia always = Unit value
Which products result in a difference of squares? Select three options. A. (x minus y)(y minus x) B. (6 minus y)(6 minus y) C. (3 + x z)(negative 3 + x z) D. (y squared minus x y)(y squared + x y) E. (64 y squared + x squared)(negative x squared + 64 y squared)
Answer:
C D E
Step-by-step explanation:
Edg
Out of the given options, options C, D and E are a difference of squares.
What is the difference of squares?Difference of Squares, two terms that are squared and separated by a subtraction sign.
Given are, options,
D) (y squared minus x y)(y squared + x y) = (y²-xy)(y²+xy) = y⁴-(xy)²
E) (64 y squared + x squared)(negative x squared + 64 y squared) = (64y²+x²)(64y²-x²) = (64y)⁴-x⁴
C) (3 + x z)(negative 3 + x z) = (3+xz)(3-xz) = 3²-(xz)²
Hence, out of the given options, options C, D and E are a difference of squares.
For more references on difference of squares, click;
https://brainly.com/question/11801811
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algebraic expression twice the difference of a number and 5. with x being "a number"
Answer:
2(x-5)
Step-by-step explanation:
Answer:
the answer to your question is 5xa^2
or you can use symbolab calculator online
Can someone please help me with this question? The y is throwing me off.
x = 21
y = 8
=========================================================
Explanation:
Since the y is giving you trouble, I recommend ignoring it for now. Luckily we don't need the y value at first.
Let's solve for x.
The two angles (10x-61) and (x+10) form a straight angle which is 180 degrees.
So,
(10x-61) + (x+10) = 180
10x-61 + x+10 = 180
11x - 51 = 180
11x-51+51 = 180+51 .... adding 51 to both sides
11x = 231
11x/11 = 231/11 .... dividing both sides by 11
x = 21
Since x = 21, the upper right angle (10x-61) is equal to
10x-61 = 10*21-61 = 210-61 = 149
-------------
We can now focus on the (18y+5) angle. This is set equal to 149 since vertical angles are congruent
18y+5 = 149
18y+5-5 = 149-5 ... subtracting 5 from both sides
18y = 144
18y/18 = 144/18 .... dividing both sides by 18
y = 8
--------------
Or we could add the angles (18y+5) and (x+10), set them equal to 180, and solve for y like that
(18y+5)+(x+10) = 180
18y+5 + x+10 = 180
18y+5+21+10 = 180 .... plug in x = 21
18y+36 = 180
18y+36-36 = 180-36 ... subtract 36 from both sides
18y = 144
18y/18 = 144/18 .... dividing both sides by 18
y = 8
We get the same result.
--------------
As a check, plugging y = 8 into 18y+5 should lead to 149
18y+5 = 18*8+5 = 144+5 = 149
This confirms the y value answer
A physiological psychologist has performed an experiment to determine if a particular drug, smartozine, affects maze learning in rats. Three groups of 8 rats each are injected with one of three different doses of smartozine, while a fourth group of 6 rats is injected with a saline solution as a control. After the injection, rats in all four groups are timed in how long it takes them to learn to traverse a maze. The results of the experiment are presented below. Did smartozine affect how quickly the rats learned the maze. Use a level of significance of.05 SSB 610 SSW = 1742 What is the critical value of F for this situation?
Answer:
The critical value of F for this situation is 2.975.
Step-by-step explanation:
A test is being performed to determine if a particular drug, smartozine, affects maze learning in rats.
The groups are divided as follows:
Three groups of 8 rats each are injected with one of three different doses of smartozine.The fourth group of 6 rats is injected with a saline solution as a control.So, there were in total k = 4 groups with n = 30 rats.
The significance level of the test is, α = 0.05.
Compute the critical value of F as follows:
[tex]F_{\alpha, (k-1, n-k)}=F_{0.05, (4-1, 30-4)}=F_{0.05, (3,26)}=2.975[/tex]
*Use the F-table.
Thus, the critical value of F for this situation is 2.975.
The critical value of F for this situation has been 2.975.
The F value has been the statistical factor that has been used for the determination of the significance of the test.
The high F value has been the representation of the rejected null hypothesis, while the low F value represents the accepted hypothesis. The study that has been performed with the rats has:
Number of groups of rats = k = 4
Total number of rats = n = 30
The 0.05 significance test has been performed, thus the value of α has been 0.05.
The value of F can be given as:
Critical value = [tex]\rm F_\alpha_\;_,(_k_-_1,_n_-_k_)[/tex]
Substituting the values:
Critical value = [tex]\rm F_0._0_5,_(_4_-_1,_3_0_-_4_)[/tex]
Critical value = 2.975
Thus, the critical value of F for this situation has been 2.975.
For more information about the F value, refer to the link:
https://brainly.com/question/11566053
