To convert grams to kilograms, you can use the ratio
OA. True
B. False
1,000 grams
1 kilogrami

Answers

Answer 1

Answer:

A. True

Step-by-step explanation:

The ratio 1000 grams=1kilogram is correct.


Related Questions

Find the solution to m^2+9m=0

Answers

Answers:  m = 0 or m = -9

Work Shown:

m^2+9m=0

m(m+9)=0

m = 0 or m+9 = 0

m = 0 or m = -9

For more information, check out the topics about factoring and the zero product property.

m^2 + 9m = 0

m(m + 9) = 0

m= 0 or m + 9 = 0

m = -9

m= 0 or m = -9 (final answer)

(02.03 MC)

Choose the equation that represents the graph.

graph of a line passing through points negative 2 comma 0 and 0 comma negative 4

y = −2x − 4
y = 2x + 4
y = −2x + 4
y = 2x − 4

Answers

Answer:

y = - 2x - 4

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 2, 0) and (x₂, y₂ ) = (0, - 4) ← 2 points on the line

m = [tex]\frac{-4-0}{0-(-2)}[/tex] = [tex]\frac{-4}{0+2}[/tex] = [tex]\frac{-4}{2}[/tex] = - 2

the line crosses the y- axis at (0, - 4 ) ⇒ c = - 4

y = - 2x - 4 ← equation of line

PLEASE NEED HELP
The lifespans of crocodiles have an approximately Normal distribution, with a mean of 18 years and a standard deviation of 2.6 years. What proportion of crocodiles live between 17.5 and 20.5 years?


Find the z-table here.

0.3147
0.4068
0.5932
0.6853

Answers

Using the normal distribution, it is found that 0.4068 of crocodiles live between 17.5 and 20.5 years.

Normal Probability Distribution

The z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The z-score measures how many standard deviations the measure is above or below the mean. Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.

The mean and the standard deviation are given as follows:

[tex]\mu = 18, \sigma = 2.6[/tex]

The proportion of crocodiles live between 17.5 and 20.5 years is the p-value of Z when X = 20.5 subtracted by the p-value of Z when X = 17.5, hence:

X = 20.5:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{20.5 - 18}{2.6}[/tex]

Z = 0.96

Z = 0.96 has a p-value of 0.8315.

X = 17.5:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{17.5 - 18}{2.6}[/tex]

Z = -0.19

Z = -0.19 has a p-value of 0.4247.

0.8315 - 0.4247 = 0.4068

0.4068 of crocodiles live between 17.5 and 20.5 years.

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how much must be deposited today to have $45,000 in 5 years with a quarterly compounding and an APR of 7.3%

Answers

Answer:

$31,341.81

Step-by-step explanation:

The compound amount equation is A = P(1 + r/n)^(nt), where P is the unknown principal, r is the annual interest rate, n is the number of compounding periods per year and t is the number of years.  We want to solve this for P:

       A

------------------- = P

(1 + r/n)^(nt)

Substituting the given numerical values;

     $45,000

 ---------------------------  =  P

   (1+0.073/4)^(4*5)

Using a calculator, we evaluate this expression, obtaining:  $31,341.81

If f(x) = 4x, which statements are true of g(x)? Select two options.

Answers

The two statements that are true for g(x ) are:

g(x) = [tex]4^{x}[/tex] - 1

g(x) is translated both vertically and horizontally.

What is a function?

A function is a relation showing the relationship between two or more variables.

A function produces a unique output when a unique input is given to it. The input is called the domain and the output is called the Range.

Analysis:

If we use the values of x as 0,1,2,3

for x = 0

g(0) = [tex]4^{0}[/tex] -1  = 1 -1 = 0

for x = 1

g(1) = [tex]4^{1}[/tex] -1  = 4 - 1 = 3

for x = 2

g(2) = [tex]4^{2}[/tex] - 1 = 16 - 1 = 15

for x = 3

g(3) = [tex]4^{3}[/tex] - 1 = 64 - 1 = 63

Therefore g(x) = [tex]4^{x}[/tex] - 1

Also since the values of g(x) changes along the y - axis and x-axis also changes, therefore, g(x) is translated along both axes.

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What is the total repayment made, including principal and interest, on a loan of $1,100 at 3.5% interest compounded annually over four years?

Answers

The total repayment made, including principal and interest is $1262.27

Compound interest

The formula for calculating the compound interest is calculated as shown below;

A = P(1+r)^t

where

P is the principal = $1100

rate = 3.5% = 0.035

time "t" =4 years

Substitute

A. = 1100(1+0.035)^4
A = 1100(1.035)^4
A = 1100(1.14752)

A = 1262.27

Hence the total repayment made, including principal and interest is $1262.27

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a circular garden has a diiameter of 6 yards what is the area of the garden use 3.14 for Tt

Answers

Given the diameter of the circular garden, the area of the garden is 28.36 yd².

What is the area of the garden?

The area of a circle is expressed as; A = πr²

Given that;

Diameter d = 6ydRadius r = d/2 = 6yd/2 = 3ydArea A = ?

A = πr²

A = 3.14 × (3yd)²

A = 3.14 × 9yd²

A = 28.36 yd²

Given the diameter of the circular garden, the area of the garden is 28.36 yd².

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Find the area of a triangle with base of 6m and height of 15m

Answers

Answer:

45 meters

Step-by-step explanation:

[tex]Area=\frac{1}{2}bh\\ A=\frac{1}{2}(6)(15)\\ A=3(15)\\A=45[/tex]

⊱________________________________________________________⊰

Answer:

A=45 m²

Step-by-step explanation:

The formula for the area of a triangle is, [tex]\bigstar\underline{\boxed{\sf{A=\frac{bh}{2}}}}[/tex].

where :

[tex]\triangleright\sf{A=Area,b=base,h=height}\triangleleft[/tex]

Substitute the values,

[tex]\large\begin{gathered}\sf{A=\frac{6*15}{2} \\ \sf{A=\frac{90}{2}\\\bigstar\underline{\boxed{\sf{A=45 \ m^2}}}} \end{gathered}[/tex]

Done !! Hope this made sense to you :)

[tex]\small\boldsymbol{Calligraphy}[/tex]

⊱______________________________________________________⊰

a store marks up the wholesale price of a skateboard by 112%. The retail price is $35. What is the wholesale price of the skateboard?

Answers

Answer is $31.25
Step by step
We know mark up is 112%
We know sell price (retail) after markup
We are looking for wholesale (original price)
So 112% of x = $35
1.12x = $35
Divide both sides by 1.12 to isolate x
X= 31.25

Find two sets of parametric equations for the rectangular equation. y=(x-6)^2-7x.

If x=t+6 then y=

If x=7t then y=

Show all work !

Answers

The two sets of parametric equations for the rectangular equation are;

If x=t+6 then y= t²-7t-42.If x=7t then y= 49t² - 133t +36.

What are the parametric equations from the rectangular equation?

It follows from the task content that the parametric equations can be determined as follows;

By substituting the x= t+6 into the rectangular equation; we have;

y = (t+6-6)²-7(t+6)

y = t²-7t-42.

By substituting the x= 7t into the rectangular equation; we have;

y = (7t-6)² -7(7t)

y = 49t² - 84t +36 - 49t

y = 49t² - 133t +36.

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Company A manufactures and sells gidgets. The owners have determined that the company has the monthly revenue and cost functions shown, such that x represents the number of gidgets sold.

R(x) = 16x
C(x) = 12x + 1,424

At what number of gidgets sold will the company break-even (the point where revenue equals cost)?

Answers

Considering the given equations for revenue and cost, the company will break-even when 356 widgets are sold.

What is the break-even point?

The break-even point is the value of x for which:

R(x) = C(x).

In this problem, the functions are:

R(x) = 16x.C(x) = 12x + 1424.

Hence:

R(x) = C(x)

16x = 12x + 1424

4x = 1424

x = 1424/4

x = 356

The company will break-even when 356 widgets are sold.

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Easy points because I got points to blow,

Answers

Answer:

Did you know that the first person convicted of speeding was going eight mph.

Step-by-step explanation:

i think george washington cut down a cherry tree

Find the measure of the ndicaited angle to the nearest degree 35 and 38

Answers

The measure of the indicated angle to the nearest degrees is 23 degrees.

How to find angle of a right angle triangle?

The angle of a right angle triangle can be found as follows:

Therefore, the angle can be found using trigonometric ratios as follows;

cos ∅ = adjacent / hypotenuse

Therefore,

adjacent side = 35 units

hypotenuse side = 38 units

Hence,

cos ∅ = 35 / 38

∅ = cos⁻¹ 0.92105263157

∅ = 22.9272842944

∅ ≈ 23 degrees.

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Simplify the following fractions.​

Answers

Answer:

The solution for the above fraction is

[tex] \frac{146}{167} [/tex]

Step-by-step explanation:

Greetings!

look at the attachment above for the explanation.

Emma throws an object upwards from a hill

Answers

The function y = -16x² + 48x + 64 is a non linear function with a parabolic shape graph.

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

A non linear function is a function whose graph is not linear or can be represented by a straight line.

The function y = -16x² + 48x + 64 is a non linear function with a parabolic shape graph.

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copy the problems onto your paper, mark the given and prove the statements asked. if PO is congruent to PR and UO is congruent to UR prove angle O is congruent to angle R

Answers

The two-column proof that proves that ∠O ≅ ∠R using the SSS and CPCTC theorems is shown in the image attached below.

What is the Side-side-side Congruence Theorem (SSS)?

The side-side-side congruence theorem (SSS) states that when three sides of a triangle are congruent to the corresponding three sides of another triangle, then both triangles are considered congruent to each other.

What is the CPCTC Theorem?

The CPCTC theorem states that when two triangles are proven to be congruent by any triangle congruent theorem, then all the corresponding parts of the congruent triangle are congruent. This implies that the corresponding sides and angles of both triangle are equal or congruent.

We are asked to prove that ∠O ≅ ∠R.

With the given image, we would draw segment UP. Thus, based on the reflexive property, UP ≅ UP (one pair of congruent sides).

We are given two pairs of corresponding sides already, which are: UO ≅ UR and PO ≅ PR.

This means that triangles OUP and RUP have three pairs of corresponding congruent sides. Therefore, ΔOUP ≅ ΔRUP.

Applying the CPCTC theorem, ∠O ≅ ∠R.

The two-column proof is attached in the image below.

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A group of people were asked if they had run a red light in the last year. 150 responded yes and 185 responded no. Find the probability that if a person is chosen at random, they have run a red light in the past year

Answers

The probability that a person chosen at random have run a red light in the past year is 0.45.

Given that 150 people have responded yes and 185 have responded no in a group of people when they asked whether they have run a red light.

Probability lies between 0 and 1. The value of probability can be find by :

Probability= Number items/total items.

Number of people who said that they have run red light=150

Number of people who said that they have not run red light=185

Total people=150+185

=335 people

Probability that a person chosen at random have run red light in the past year=

=Number of people who said that they have run red lights / total people

=150/335

=0.447

After rounding off it will be 0.45.

Hence the probability that a person chosen at random have run a red light in the past year is 0.45.

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A college currently has 600 students enrolled
full time. Of these students, 400 are science
majors while 200 are liberal arts majors. If
350 of the students are male, and 250 of the
males are science majors, how many female
students are liberal arts majors?
(A) 200
(B) 150
(C) 100
(D) 50

Answers

Answer:

C) 100

Step-by-step explanation:

250+600-350-400

850-350-400

500-400=100

help!
Nora and Annie are raising money to purchase books for their school's library. The number of books they will be able to purchase for the library depends on the amount of money they raise.

b = the number of books Nora and Annie will be able to purchase
m = the amount of money Nora and Annie raise

Which of the variables is independent and which is dependent?

Answers

Answer: B is dependent and M is independent

Step-by-step explanation:

This is because the question says that they are raising money to buy books. In order to buy the books, they must raise money. So they raise money than buy the books which makes buying the books dependent on how much they raise.

HELP PLSSSSSSSSSSSS!!!!!

Answers

Answer:

6 x 2 x 2 x 1

Step-by-step explanation:

6 x 2 = 12

12 x 2 = 24

24 x 1 = 24

The length of time it takes college students to find a parking spot in the library parking lot follows a normal distribution with a mean of 4.5 minutes and a standard deviation of 1 minute. Find the cut-off time which 75.8% of the college students exceed when trying to find a parking spot in the library parking lot.

Answers

Using the normal distribution, it is found that the cut-off time which 75.8% of the college students exceed when trying to find a parking spot in the library parking lot is of 3.7 minutes.

Normal Probability Distribution

The z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The z-score measures how many standard deviations the measure is above or below the mean. Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.

The mean and the standard deviation are given as follows:

[tex]\mu = 4.5, \sigma = 1[/tex]

The cut-off time is the 100 - 75.8 = 24.2th percentile, which is X when Z = -0.7, hence:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]-0.7 = \frac{X - 4.5}{1}[/tex]

X - 4.5 = -0.7

X = 3.7.

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what is the value of x 44 inches and 55 inches triangle

Answers

Answer: I don't know what you are talking about, but if x is the area, then the answer is 1,210.

Step-by-step explanation: 44 x 55 x 1/2 = 1,210. The formula for the area of a triangle is 1/2 times length times height. Therefore, x = 1,210

Hope this helps.

I need answers please help me ​

Answers

Answer:

the ansqer is g(x) = 4^x-4 + 2

What is the value of z in the equation 4(2z + 3) = 12?

−13
12
0
12

Answers

Answer:

0

Step-by-step explanation:

8z +12 = 12

8z = 0

z =0

Answer:

The answer is 0

Step-by-step explanation:

4(2z+3)=12?=

We use the distributive property to distribute the 4 into the 2.

8z=3=12?=

8 + 3 is 12 so the z has no part to play in this.

z=0

You could also have divided from both sides of the equation, but doing it this way is easier for me.

Type the correct answer in each box. Use numerals instead of words.
Consider function g.
6,
0,
-4,
-8<-2
-2 ≤ x < 4
4 x < 10
What are the values of the function when = -2and when = 4?
g(x)
=
g (-2) =
g (4) =

Reset
Next

Answers

When x = -2, we use the second part of the function, so g(-2)=0.

Similarly, g(4) = -4.

Find the Diameter of the Circle with the following equation. Round to the nearest tenth.

(x - 2)2 + (y + 6)2 = 35

Answers

The diameter of the circle is 11.8 units

How to determine the diameter of the circle?

The circle equation is given as:

(x - 2)^2 + (y + 6)^2 = 35

A circle equation is represented as:

(x - a)^2 + (y - b)^2 = r^2

Where

Diameter = 2r

By comparing both equations, we have

r^2 = 35

Take the square root of both sides

r = 5.9

Multiply by 2

2r = 11.8

Hence, the diameter of the circle is 11.8 units

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The table gives a partial set of values of a polynomial h(x), which has a leading coefficient of 1.


x –3 –2 0 1 2
h(x) 0 –23 –12 0 0
If every x-intercept of h(x) is shown in the table and has a multiplicity of one, what is the equation of the polynomial function?
h(x) = x3 + 6x2 + 11x – 6
h(x) = x3 – 7x + 6
h(x) = x3 – 7x – 6
h(x) = x4 + 2x3 – 7x2 – 8x + 12

Answers

The equation of the polynomial function from the given table is; Option B: h(x) = x³ - 7x + 6

How to find the equation of a Polynomial?

From the given table, we see that the x-intercepts are;

(-3, 0), (1, 0) and (2, 0)

Now, we are told the the x-intercepts have a multiplicity of one which means they occur as roots only once. Thus, we can say that the roots in factor form are;

(x + 3), (x - 1), (x - 2)

Then, the polynomial will be;

h(x) = (x + 3) * (x - 1) * (x - 2)

h(x) = (x + 3)(x² - 3x + 2)

h(x) = x³ + 3x² - 3x² - 9x + 2x + 6

h(x) = x³ - 7x + 6

Thus, the equation of the polynomial function from the given table is; Option B: h(x) = x³ - 7x + 6

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Please Help! Multiple Choice!

Answers

Using the z-distribution, the p-value would be given as follows:

b) 0.0086.

What are the hypothesis tested?

At the null hypothesis we test if the means are equal, hence:

[tex]H_0: \mu_D - \mu_C = 0[/tex]

At the alternative hypothesis, it is tested if they are different, hence:

[tex]H_1: \mu_D - \mu_C \neq 0[/tex]

What are the mean and the standard error for the distribution of differences?

For each sample, they are given as follows:

[tex]\mu_D = 12, s_D = \frac{5.2}{\sqrt{73}} = 0.6086[/tex][tex]\mu_C = 14, s_C = \frac{4.1}{\sqrt{81}} = 0.4556[/tex]

Hence, for the distribution of differences, they are given by:

[tex]\overline{x} = 12 - 14 = -2[/tex].[tex]s = \sqrt{0.6086^2 + 0.4556^2} = 0.76[/tex]

What is the test statistic?

The test statistic is given by:

[tex]z = \frac{\overline{x} - \mu}{s}[/tex]

In which [tex]\mu = 0[/tex] is the value tested at the null hypothesis.

Hence:

[tex]z = \frac{\overline{x} - \mu}{s}[/tex]

[tex]z = \frac{-2 - 0}{0.76}[/tex]

z = -2.63.

Using a z-distribution calculator, for a two-tailed test, with z = -2.63, the p-value is of 0.0086.

Hence option B is correct.

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The speed of the boat in still water is mph.
The speed of a river current is 3 mph. If a boat travels 30 miles downstream in the same time that it takes to travel 20 miles upstream, find the speed of the boat in still water.

Answers

Answer: the speed of the stream is 9mph

Solve for x if sqrt (3x-8) + 1 = sqrt (x+5)

Answers

The solution of x in the given expression [tex]\mathbf{\sqrt{(3x-8)}+1 = \sqrt{(x+5)}}[/tex] is 4. However, if it is [tex]\mathbf{\sqrt{(3x-8)+1} = \sqrt{(x+5)}}[/tex], it is 6.

What is the solution to algebraic expression?

The solution to the given algebra expression involving surds can be seen in the steps below.

Given that:

[tex]\mathbf{\sqrt{(3x-8)}+1 = \sqrt{(x+5)}}[/tex]

Remove the square roots, we have:

12x - 32 = 4x² - 48x + 144

Solving the quadratic equation at the RHS and equating it to LHS, we have:

x = 11, x = 4

Verifying the solutions by replacing the value of x with the given equation:

x = 11 Falsex = 4 True

Therefore, we can conclude that the value of x = 4

NOTE:

Given that:

[tex]\mathbf{\sqrt{(3x-8+1)} = \sqrt{(x+5)}}[/tex]

Square both sides

3x - 7 = x +5

Solve for x

3x - x = 5 + 7

2x = 12

x = 6

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Other Questions
Select the correct answer from the drop-down menu.Read the excerpt. Then choose the correct way to complete the sentence.The author uses the gas station attendant's warning to create tension by foreshadowing that Transformation example Dionysus tricks king _____________ into accompanying him to mount cithaeron. There the king is torn apart by the frenzied women, including his own mother The small spherical planet called "Glob" has a mass of 7.881018 kg and a radius of 6.32104 m. An astronaut on the surface of Glob throws a rock straight up. The rock reaches a maximum height of 1.44103 m, above the surface of the planet, before it falls back down. 1. What was the initial speed of the rock as it left the astronaut's hand? (Glob has no atmosphere, so no energy is lost to air friction. G = 6.6710-11 Nm2/kg2.)2. A 36.0 kg satellite is in a circular orbit with a radius of 1.45105 m around the planet Glob. Calculate the speed of the satellite. A tank, shaped like a cone has height 6 meters and base radius 5 meters long. It is placed so that the circular part is upward. It is full of water, and we have to pump it all out by a pipe that is always leveled at the surface of the water. Assume that a cubic meter of water weighs 10 000 N , i.e. the density of water is 10000 N m 3 . How much work does it require to pump all water out of the tank What two questions were at the heart of McCulloch v. Maryland?A. Does the national bank fit into the Full Faith and Credit Clause? How do states regulate bank transfers between states?B. Was the national bank constitutional? Can states tax it?C. Can a national bank exist within a Federal System? Can states have checks on a national bank?D. Which brank of government controls the national bank? Which branch of government regulates taxes on the national bank? What similarities are there between the ways archaea and bacteria react to difficult environmental conditions? 15. What does the suffix -fy mean?the action ofcapable of beingfull ofcause or become ASLInstead of indexing, you can also indicate possession with:Select one:a. the sign HAVEb. word orderc. the " 's " signd. the sign HOLDe. a, b, cf. All of the above how many scenes does a three act play have Verifying a backup is also called _______________ When a consumer purchases a product, a(n) _________ is created for this item to be re-stocked by the merchant. On a piece of paper, graph y -2x. Then determine which answer matchesthe graph you drew. Please help The area of a circle is 354 cm. Find in degrees and minutes, the angle subtended at the centre of the circle by a 2.9cm arc. An increase in demand causes both equilibrium price and equilibrium quantity to rise. A. TrueB. False An important customer showing up at a hotel that is fully booked and the reservation is missing would be placed in which category for managerial decision-making challenges? Please help me with this question! Which two lines intersect at level of output the firm is supplying if that business is earning zero economic profits? Find the missing side length of the triangle. b) Determine x, the distance from the left end of the beam to the point where the rope is attached.