an expression equivalent to 12+ 21 is

Answers

Answer 1

Answer:

33

Step-by-step explanation:

Answer 2

The answer is 1628. Because 16 x 21 = 28 x 12 = 336

Hope this helps


Related Questions

is y=x^2 a proportional relationship?
is y=2+x a proportional relationship?
is y=2/x a proportional relationship?
is y=2x a proportional relationship?

Answers

Answer:

is y=x^2 a proportional relationship?

[tex]{ \sf{yes. \: constant \: of \: proportionality = 1}}[/tex]

is y=2+x a proportional relationship?

[tex]{ \sf{no. \: unless \: y \: is \: proportinal \: to \: (2 + x)}}[/tex]

is y=2/x a proportional relationship?

[tex]{ \sf{yes. \: where \: proportianality \: constant \: is \: 2}}[/tex]

is y=2x a proportional relationship?

[tex]{ \sf{yeah. \: constant \: is \: 2}}[/tex]

The length of a rectangle is (x+1) cm, and its width is 5 cm less than its length.
a) Express the area of the rectangle, A cm^2 , in terms of x.
b) The area of the rectangle is 24 cm^2. Calculate the length and width of the rectangle.

Answers

Answer:

a) x^2-3x-4(you also can express it as (x+1)(x-4))

b)The length is 8 cm, the width is 3 cm

Step-by-step explanation:

a) The length is x+1

The width is (x+1-5)= x-4

The area is the product of the length and the width

(x+1)(x-4)= x^2-3x-4

b) The formula for counting the area is x^2-3x-4

It is equal to 24

S0 x^2-3x-4=24

x^2-3x-28=0

a=1 b=-3 c=-28

D= b^2-4ac= 3^2-4*(-28)= 9+112= 121

sqrtD= 11

x1= (-b-sqrtD)/2a=(3-11)/2=-4  The length is -4+1=-3<0, but the length must be positive, this root isn't suitable.

x2= (-b+sqrtD)/2a=(3+11)/2=7 The length is 7+1=8 (it is suitable)

8-5=3 - The width

A population of deer in Florida grows according to a logistic model, with r = 0.17 and K = 10,000. At what population size is the per capita population growth rate the highest? Group of answer choices N = 1000 N = 5000 N = 8000 N = 10000

Answers

Answer:

N = 1000

Step-by-step explanation:

The population growth of species per capita of any geographical can be computed by using the formula:

[tex]\dfrac{dN}{dT}=rN (1 - \dfrac{N}{K})[/tex]

here;

N = population chance

T = time taken

K = carrying capacity

r = the constant exponential growth rate

From the given equation, we can posit that the value of r will be the greatest at the time the value of dN is highest:

As such, when the population chance = 1000

[tex]\dfrac{dN}{dT}=0.17 * 1000 (1 - \dfrac{1000}{10000})[/tex]

[tex]\dfrac{dN}{dT}=0.17 * 1000 (0.9)[/tex]

[tex]\dfrac{dN}{dT}= 153[/tex]

At N = 5000;

[tex]\dfrac{dN}{dT}= 85[/tex]

At N= 8000;

[tex]\dfrac{dN}{dT}= 34[/tex]

At N = 10000

[tex]\dfrac{dN}{dT}= 0[/tex]

Mai is kayaking on a river that has a current of 2 miles per hour. If r represents her rate in calm water, then (r + 2) represents her rate with the current, and (r – 2) represents her rate against the current. Mai kayaks 2 miles downstream and then back to her starting point. Use the formula for time,
t
=
d
r
t=
r
d

, where d is the distance, to write a simplified expression for the total time it takes Mai to complete the trip.


4
(
r
+
2
)
(
r

2
)
h
o
u
r
s
(r+2)(r−2)
4

hours

4
r
(
r
+
2
)
h
o
u
r
s
(r+2)
4r

hours

4
r
(
r
+
2
)
(
r

2
)
h
o
u
r
s
(r+2)(r−2)
4r

hours

4
(
r

2
)
h
o
u
r
s
(r−2)
4

hours

Answers

Answer:

Plese explain your answer properly

Step-by-step explanation:

Answer:what is the answer

Step-by-step explanation:

which of the following are ordered pairs for the given function f(x)=1+x.? (1,2) (3,3) (0,2) (1,0) (0,1)

Answers

Answer:

no,  

(

1

,

0

)

is not an ordered pair of the function  

f

(

x

)

=

1

+

x

.

Step-by-step explanation:

Ordered pairs are usually written in the form  

(

x

,

y

)

by tradition.

so usingthe function,

f

(

x

)

=

1

+

x

we can rewrite it as,

y

=

1

+

x

any pair of x and y that satisfy this equation are solutions to the equation.

so subbing in  

(

1

,

0

)

,

0

=

1

+

(

1

)

0

=

2

which is not true so the point does not make the function true.

It might be easier to see graphically,

graph{1+x [-10, 10, -5, 5]}

any combination of x and y on this line make the equation true and as such are an ordered pair of the function.

Answer:

Step-by-step explanation:

The vertex form of the equation of a parabola is y =
standard form of the equation?
Y=1/2(x - 4)^2 +13. What is the
O A. y-2x2-8x+29
O B. y=zx2 - 4x +21
O C. y=1* -8x+21
O D. y - 4x2 - 4x +29

Answers

Answer:

Step-by-step explanation:

y = ½(x-4)² + 13

y = ½(x² - 8x + 16) + 13

y = ½x² - 4x + 21

a grocery store cashier packed 2 carts of groceries equally into 12 paper bags. what fraction of a cart is in each bag?

Answers

Answer:

Step-by-step explanation:

(2 carts)/(12 bags) = (⅙ cart)/bag

Cho hệ vectơ:
X1=(2;1;0;1); X2=(1;1;0;-1); X3=(0;-1;2;2); X4=(1;0;2;1)
a) Xét xem hệ vectơ trên độc lập tuyến tính hay phụ thuộc tuyến tính.
b) Biểu diễn vectơ X 4 qua các vectơ còn lại.

Answers

Answer:

i dont no the ans

Step-by-step explanation:

A survey is conducted to determine the percentage of students at state universities who change their major at least once. In a study of 100 students 78% indicated that they graduated with a major different from the one with which they entered college. Determine a 90% confidence interval for the percentage of students who change their major.

Answers

Answer:

Step-by-step explanation:

Confidence Level - "P" values  

90% 1.645

Confidence Interval - "P" values  

(0.7119 , 0.8481 )  

Geometry please help me!In the figure below, what value of x will satisfy the midsegment theorea? X=

Answers

Answer:

x=30.5

Step-by-step explanation:

Using midsegment 's theorea:

[tex]2=\dfrac{RG}{RS} =\dfrac{RH}{RQ} =\dfrac{GH}{SQ} \\\\4x-65=2x-4\\\\2x=61\\\\x=\dfrac{61}{2} \\\\x=30.5\\[/tex]

(52+2)-3x -6

help me with thanks

Answers

Answer:

48 - 3X

Step-by-step explanation:

( 52+2) - 3x - 6

54 - 3x - 6    So first we deal with the numbers in brackets and that is 52 + 2 giving us 54.

54 - 6 - 3x  Then you simplify the expression that is collecting like terms so then we subtract 6 from 54

48 - 3x This is the final expression after simplifying

HOPE THIS HELPED

Given the recursive formula shown, what are the first 4 terms of the sequence?

Answers

Answer:

5,20,80,320

Step-by-step explanation:

a1 = 5

an = 4 an-1

Let n = 2

a2 = 4 * a1 = 4*5 = 20

Let n = 3

a3 = 4 * a2 = 4*20 = 80

Let n = 4

a4 = 4 * a3 = 4*80 = 320

the x coordinates of the point 2y-x=10 intersect the line yaxis​

Answers

Answer:

Point has co-ordinates, (0, 5)

Step-by-step explanation:

If they cut y-axis, then x = 0

[tex]2y - x = 10 \\ 2y - 0 = 10 \\ 2y = 10 \\ y = 5[/tex]

Write the equation of the line in fully simplified slope-intercept form.

Answers

From the graph, we can write that

The equatuon of line passes through (0,4) and

(-8,0) points.

So

[tex] \sf \: slope \: \: m = \frac{4 - 0}{0 - ( - 8)} = \frac{4}{8} = \frac{1}{2} \\ \therefore \green{\sf \: m = \frac{1}{2} }[/tex]

Intercept of Y-axis c = 4

So equation is :

[tex] \bf \: y = mx + c \\ \bf = > y = \frac{1}{2} x + 4 \\ \bf = > 2y = x + 4 \\ \bf= > \orange{ \boxed{ \bf \: x - 2y + 4 = 0}}[/tex]

In the figure, triangles ABC and DEF are congruent.
Find the measure of DF.
a. 13m
b. 13m
c. 7m
d. 13.928m
Please show work to help me understand.

Answers

Answer:

since the two triangles are congruent..

AB=ED

AC=FD(side opposite to the right angle)

FD=AC

•°•FD=13m

Sum of × +1 and × + 2 ​

Answers

Step-by-step explanation:

X +1 + X + 2

X + X + 1 + 2

2x + 3

Therefore it's 2x + 3

2x+3 is the answer….

(x - 7)2 = x2 - 49
O True
O False

Answers

Answer:

False

Step-by-step explanation:

PLS HELP I DONT KNOW THIS ONE

Answers

Answer:

x+3

---------------

(x-3)(x-2)(x-4)

Step-by-step explanation:

x+4             x^2 -16

---------------÷ -------------

x^2 - 5x+6     x+3

Copy dot flip

x+4                x+3

--------------- * -------------

x^2 - 5x+6     x^2 -16

Factor

x+4                x+3

--------------- * -------------

(x-3)(x-2)     (x-4)(x+4)

Cancel like terms

1                   x+3

--------------- * -------------

(x-3)(x-2)     (x-4)1

x+3

---------------   x cannot equal 3,2,4 -4

(x-3)(x-2)(x-4)

Find the distance between the two points (1.5,2.7) and (3.5,4.3) given in polar coordinates and using radians.

Answers

Answer:

2.56

Step-by-step explanation:

√(x2 - x1)² + (y2 - y1)²

√(3.5 - 1.5)² + (4.3 - 2.7)²

√(2)² + (1.6)²

√(4) + (2.56)

√6.56

= 2.56

what is 5.5 feet in centimeters?​

Answers

Answer:

167.64 cm

Step-by-step explanation:

I dont kno how to work it out

167.64 centimeters








Hope it helps!




And also hope it’s true lol

Need help please due in 1 hour and 30 mins

Answers

Answer:

the answer of that is number C

a test for diabetes results in a positive test in 95% of the cases where the disease is present and a negative test in 07% of the cases where the disease is absent. if 10% of the population has diabetes, what is the probability that a randomly selected person has diabetes, given that his test is positive

Answers

Answer:

0.9378 = 93.78% probability that a randomly selected person has diabetes, given that his test is positive.

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

In which

P(B|A) is the probability of event B happening, given that A happened.

[tex]P(A \cap B)[/tex] is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

Event A: Positive test

Event B: Person has diabetes.

Probability of a positive test:

0.95 out of 0.1(person has diabetes).

0.007 out of 1 - 0.1 = 0.9(person does not has diabetes). So

[tex]P(A) = 0.95*0.1 + 0.007*0.9 = 0.1013[/tex]

Probability of a positive test and having diabetes:

0.95 out of 0.1. So

[tex]P(A \cap B) = 0.95*0.1 = 0.095[/tex]

What is the probability that a randomly selected person has diabetes, given that his test is positive?

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.095}{0.1013} = 0.9378[/tex]

0.9378 = 93.78% probability that a randomly selected person has diabetes, given that his test is positive.

Find the length of the segment indicated.

A. 16.4
B. 11.4
C. 12.1
D. 13.3

Answers

using Pythagorean triplet

[tex]\\ \sf\longmapsto P^2=H^2-B^2[/tex]

[tex]\\ \sf\longmapsto x^2=19.6^2-15.4^2[/tex]

[tex]\\ \sf\longmapsto x^2=384.16-237.16[/tex]

[tex]\\ \sf\longmapsto x^2=147[/tex]

[tex]\\ \sf\longmapsto x=\sqrt{147}[/tex]

[tex]\\ \sf\longmapsto x=12.1[/tex]

Answer:

C.) 12.1

Step-by-step explanation:

I got it correct on founders edtell

Need the help thanks guys

Answers

Answer:

x=−5+√29 or x=−5−√29

Step

Let's solve your equation step-by-step.

x2+10x+10=14

Step 1: Subtract 14 from both sides.

x2+10x+10−14=14−14

x2+10x−4=0

For this equation: a=1, b=10, c=-4

1x2+10x+−4=0

Step 2: Use quadratic formula with a=1, b=10, c=-4.

x=

−b±√b2−4ac

2a

x=

−(10)±√(10)2−4(1)(−4)

2(1)

x=

−10±√116

2

x=−5+√29 or x=−5−√29

The table shows a linear function.

Which equation represents the function?

x f(x)
-6 -1
-3 4
0 9
3 14

A. f(x)= -5/3x+9
B. f(x)= -5/3x-9
C. f(x)= 9x+5/3
D. f(x)= 5/3x+9

Answers

Answer:

D.

Step-by-step explanation:

Try A:

x = -6, f(x) = -1:-

f(-6) =   -5/3(-6) + 9

= 10 + 9 = 19   NOT A.

Try B:

f(-3) = -5/3(-3) - 9

= 5 - 9 = -4  NOT B

Try C:

9(0) + 5/3 = 5/4   NOT C

Try D:

f(3) = 5 + 9 = 14

f(0) = 9, f(-6) = -1 and f(-3) = 4

2sin(2x) + 1 = 3sin(2x) Solve for x with exact answers. The domain is 0 ≤ x ≤ π

Answers

Answer:

x = π/4.

Step-by-step explanation:

3sin(2x) = 2sin(2x) + 1

3sin(2x) - 2sin(2x) = 1

1sin(2x) = 1

sin(2x) = 1

When a variable n = π/2, sin(π/2) = 1 [refer to the unit circle].

2x = π/2

x = π/4.

Hope this helps!

sin4x.sin5x+sin4x.sin3x-sin2x.sinx=0

Answers

Recall the angle sum identity for cosine:

cos(x + y) = cos(x) cos(y) - sin(x) sin(y)

cos(x - y) = cos(x) cos(y) + sin(x) sin(y)

==>   sin(x) sin(y) = 1/2 (cos(x - y) - cos(x + y))

Then rewrite the equation as

sin(4x) sin(5x) + sin(4x) sin(3x) - sin(2x) sin(x) = 0

1/2 (cos(-x) - cos(9x)) + 1/2 (cos(x) - cos(7x)) - 1/2 (cos(x) - cos(3x)) = 0

1/2 (cos(9x) - cos(x)) + 1/2 (cos(7x) - cos(3x)) = 0

sin(5x) sin(-4x) + sin(5x) sin(-2x) = 0

-sin(5x) (sin(4x) + sin(2x)) = 0

sin(5x) (sin(4x) + sin(2x)) = 0

Recall the double angle identity for sine:

sin(2x) = 2 sin(x) cos(x)

Rewrite the equation again as

sin(5x) (2 sin(2x) cos(2x) + sin(2x)) = 0

sin(5x) sin(2x) (2 cos(2x) + 1) = 0

sin(5x) = 0   or   sin(2x) = 0   or   2 cos(2x) + 1 = 0

sin(5x) = 0   or   sin(2x) = 0   or   cos(2x) = -1/2

sin(5x) = 0   ==>   5x = arcsin(0) + 2   or   5x = arcsin(0) + π + 2

… … … … …   ==>   5x = 2   or   5x = (2n + 1)π

… … … … …   ==>   x = 2/5   or   x = (2n + 1)π/5

sin(2x) = 0   ==>   2x = arcsin(0) + 2   or   2x = arcsin(0) + π + 2

… … … … …   ==>   2x = 2   or   2x = (2n + 1)π

… … … … …   ==>   x =   or   x = (2n + 1)π/2

cos(2x) = -1/2   ==>   2x = arccos(-1/2) + 2   or   2x = -arccos(-1/2) + 2

… … … … … …    ==>   2x = 2π/3 + 2   or   2x = -2π/3 + 2

… … … … … …    ==>   x = π/3 +   or   x = -π/3 +

(where n is any integer)

look at the image below

Answers

From question given
Radius r = 5.5 ml
Volume = ?
We know that
Volume = The formula is 4/3 × π × radius3.
= 4/3 × 3.14× 5.5^3
= 696.557 ml^3 answer

Which is the same length as 4 kilometers?

Answers

Answer:

A. 4000 meters because

1 km = 1000 meters

and 4 km = 1000 × 4 = 4000

............

If x = 1, y = 7, and z = 15, determine a number that when added to x, y, and z yields
consecutive terms of a geometric sequence. What are the first three terms in the
geometric sequence?

Answers

Answer:

The first three terms in the geometric sequence are 18, 24, 32.

Step-by-step explanation:

A number when added to [tex]x,y,z[/tex] that yields consecutive terms of a geometric sequence is an unknown number [tex]t\in \mathbb{Z}[/tex]

Given

[tex]x = 1, y = 7, z = 15[/tex]

We know

[tex]\alpha _1 = 1+t[/tex]

[tex]\alpha _2 = 7+t[/tex]

[tex]\alpha _3 = 15+t[/tex]

Recall that a geometric sequence is in the form

[tex]\boxed{a_n = a_1 \cdot r^{n-1}}[/tex]

Therefore, once  [tex]\alpha_1, \alpha_2, \alpha_1[/tex] are consecutive terms,

[tex]15+t = (1+t) r^{3-1} \implies 15+t = (1+t) r^2[/tex]

To find the ratio, for

[tex]\dots a_{k-1}, a_k, a_{k+1} \dots[/tex]

we know

[tex]\dfrac{a_k}{a_{k-1}} =\dfrac{a_k}{a_{k-1}} =r[/tex]

Therefore,

[tex]\dfrac{(7+t)}{(1+t)} =\dfrac{(15+t)}{(7+t)} \implies (7+t)^2 = (15+t)(1+t)[/tex]

[tex]\implies 49+14t+t^2=15+16t+t^2 \implies -2t=-34 \implies t=17[/tex]

The ratio is therefore

[tex]r=\dfrac{4}{3}[/tex]

Therefore, the first three terms in the geometric sequence are 18, 24, 32.

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x.(9x-1).(x+2)-x(3x-1).(3x+1) Can someone explain this to me please How much does international trade affect you personally? The immunoglobulin light chain does not have a D segment. In humans, there are two different possible light chain proteins, termed kappa and lambda. Assume that there are 35 V segments and 5 J segments in the human kappa light chain region, and there are 30 V segments and 4 J segments in the human lambda light chain region. How many possible light chain genes can be created from these different segments, simply due to combinatorial diversity convert decimal number into binary numbers (265)10 the length of a rectangle is 4 meters longer than the width. if the area is 22 square meters , find the rectangle dimension Triangle DEF contains right angle E. If angle D measures 40 and its adjacent side measures 7.6 units, what is the measure of side EF? Round your answer to the nearest hundredth. The reason that Germany attacked Belgiumand France before Russia wasA. they believed Russia would be slow to mobilize due to its sizeB. France was an easier targetC. France was a greater threat to them Coefficient and degree of the polynomial what is government? pls answer fast Common effects of cocaine includeHallucinations, chest pains, and high anxietyHeadaches, stomach aches, and fatigueFatigue and chest painClear vision, headaches, and stomach aches A boat having stones floats in water. If stones are unloaded in water, what will happen to the level of water? s dng ngun in xoay chiu 220V/50Hz thp sng bng n 12V/3W, ta chn in tr gim p c gi tr: Q: Solve for x: 8x-2-5x=8A. OX=13B. OX=2 1/2C. OX=3 1/3D. OX=7 HELP HELP ASAP!!! ANYONE ANYONE What was Operation Overord? In the article, A Lizard with a Blue Tongue, you learned that blue-tongued skinks will fool their predators into thinking they're poisonous to eat when they aren't. The brightly- coloured tongues and mouths of the skinks help them to trick their predators into thinking this. Choose another species that uses a disguise, trick, or physical feature to fool its predators into staying away. Describe the species, identify a predator it might have, and explain the disguise, trick, or feature it uses to scare away the predator. Please help explanation if possible Read these stage directions from Eugene O'Neill's play The Straw.Act OneScene One: The Kitchen of the Carmody Home--Evening.Scene Two: The Reception Room of the Infirmary, Hill FarmSanatorium--An Evening a Week Later.Act TwoScene One: Assembly Room of the Main Building at the Sanatorium--A Morning Four Months Later.Scene Two: A Crossroads Near the Sanatorium--Midnight of the Same Day.Act ThreeAn Isolation Room and Porch at the Sanatorium--An Afternoon Four Months Later.TIME--1910Which of these can be determined from these scene descriptions?There are two scenes in each Act.The play takes place over the course of four months.One of the Carmodys' children is sick.Much of the action of the play takes place at a Sanatorium. Which of the following processes involves breaking down 3-carbon molecules into 2-carbon molecules?GlycolysisKrebs CycleTransition ReactionElectron Transfer Chain