Is the converse of the statement valid?

If a is odd, then a + 7 is even.


Yes. If a + 7 is even, then a is odd.

Yes. If a is odd, then a + 7 is odd.

No. If a is even, then a + 7 is odd.

No. If a + 7 is odd, then a is even.

Answers

Answer 1
Yes. If a+7 is even, then a is odd
Answer 2

The converse of the statement is valid

Yes. If a + 7 is even, then a is odd.

The converse of a statement is gotten by switching the hypothesis and the conclusion.

In the statement:

If a is odd, then a + 7 is even.

The hypothesis = a is odd

The conclusion = a + 7 is even

The converse of the statement will be:

If a + 7 is even, then a  is odd.

The converse statement is valid because if we subtract 7 from an even number, the resulting number will be odd

Learn more on converse statement here: https://brainly.com/question/2751386


Related Questions

Hilda adds 5 to a number, then multiplies the sun by -2. The result is 6. Write and solve an equation to find the number, x. What is the number?

Answers

Answer:

-8

Step-by-step explanation:

-2*(x+5)=6

Divide both sides by -2

x+5=-3

x=-3-5

x=-8

Triangle is reflected across the y-axis and then dilated by a factor of centered at the origin. Which statement correctly describes the resulting image, triangle ? A. Both the reflection and dilation preserve the side lengths and angles of triangle . B. Neither the reflection nor the dilation preserves the side lengths and angles of triangle . C. The reflection preserves the side lengths and angles of triangle . The dilation preserves angles but not side lengths. D. The dilation preserves the side lengths and angles of triangle . The reflection does not preserve side lengths and angles.

Answers

The statement correctly describes the resulting image, triangle is C. The reflection preserves the side lengths and angles of triangle. The dilation preserves angles but not side lengths.

Since the triangle is reflected across the y-axis and then dilated by a factor of centered at the origin. These are transformations which include

Reflections - Which are transformations which change the coordinates of an object without affecting its dimensions.Dilations - Which are transformations which change the size of the object and thus its coordinates.

The operations performed on the triangle are the following

A reflection across the y-axis changes the coordinates of the triangle from (x, y) to (-x, y) without changing the side lengths and angles.The dilation of the triangle by a factor an then centered at the origin increases the side length of the triangle but the angles in the triangle remain the same since the ratio of the sides before and after dilation are the same.

So, the reflection would preserve the side lengths and angles, but the dilation would only preserve the angles.

So, the statement correctly describes the resulting image, triangle is C. The reflection preserves the side lengths and angles of triangle. The dilation preserves angles but not side lengths.

Learn more about transformations here:

https://brainly.com/question/17311824


Gary multiplied ab and ab' as shown below.
(a+b)(ab) - ab?
Is Gary's answer correct?

Answers

Answer: I believe he is wrong because when I had to do this it was (a+b)(a+b)-ab

Chords AB and CD of a circle intersect.
. AB is divided into two line segments measuring 4 cm and 18 cm.
• CD is divided into two line segments, with the length of one segment twice the length of the other.
What is the length of CD?

Answers

Step-by-step explanation:

line CD, WE and BD are half of the length of CD

The price of 40L petrol is £24, find the price of each litre.

Answers

Answer:

I will help you with this

Plz help with this question.

Answers

Answer:

[tex]Both \: the \: moon \: and \: earth \: are \: in \: \\ the \: shape \: of \: spheres. \\ Surface\: area \: of \: a \: sphere \: of \: radius \: 'r' \\ [/tex]

Let d1 be the diameter of the moon and d2 and be the diameter of the earth.Let r1 be the radius of the moon and r2 be the radius of the earth.

[tex]given \: d1 = \frac{1}{4}d2 \\ = > 2r1 = \frac{1}{4} ×2r2 \\ =>r1 = \frac{1}{4}×r2 \\ Now, \: ratio \: of \: \: their \: surface \: areas \: is: \\ = s1: s2 \\ = r {1}^{2}: r {2}^{2} \\ = {1}^{2 } : {4}^{2 } \\ =1:16[/tex]

hope it helps you

Answer:

look below :)

Step-by-step explanation:

Ok so the formula for the area of a triangle is (l x w) / 2

and the formula for the area of a square is l x w.

The area of the square is 2 x 2 = 4.

so the area of the square = 4cm²

the area of the triangle is 2 x 4 = 8.

8 / 2 = 4

so the area of the triangle is also 4cm².

Hope this helped!

Please help me:( The volume of the above solid is
O A. 208.87 cm3
O B. 216T1 cm2
O C. 1807 cm3
O D. 2161 cm3

Answers

Answer:

the volume of cylinder = πr²h

h = 5cm

r = 6cm

volume = π × 6² × 5

= π × 6 × 6 × 5

= 180πcm³

A company prints designs on T-shirts. They charge $40 for set-up costs plus $12 hirt. Complete the table of values for this situation.

Answers

Answer:

thanks

Step-by-step explanation:

Answer:1- $52 {40+12(1)=}

5- $100 {40+12(5)=}

10 - $160 {40+12(10)=}

50 - $640 {40+12(50)=}


What is the result of subtracting 4x^2 + 3xy +2y^2 from 5x^2 + 3xy + 6y^2?

Answers

x^2 + 6xy + 8y2

4x^2 + 3xy + 2y^2 - 5x^2 + 2xy + 6y^2

= 4x^2 + 3xy + 2y^2 + -5x^2 + 3xy + 6y^2

Combine like terms:

= 4x^2 + 3xy + 2y^2 + -5x^2 + 3xy + 6y^2

= (4x^2 + -5x^2) + (3xy + 3xy) + (2y^2 + 6y^2)

= -x^2 + 6xy + 8y^2

Someone please help meh

Answers

Answer:

1100

Step-by-step explanation:

Answer:

A = 55.15

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

cos A = adj side / hypotenuse

cos A = 4/7

Taking the inverse cos of each side

cos ^-1 ( cos A) = cos ^-1( 4/7)

A =55.15009542

To the nearest hundredth

A = 55.15

original price: $24.50
discount:30%
tax:2%​

Answers

Answer -

Discount -

24.50 x 30/100

24.5 x 0.3 = 7.35 saved

24.5 - 7.35 = 17.15

Discount you saved $7.35 , which brings you price 17.15

tax -

17.15 + 0.34 = 17.49

With taxes you pay 17.49

HOPE THIS HELPS :)

if 6 24 36 are in proportion,find the second proportional.​

Answers

6/6=1, 24/6=4, 36/6=6 so 6 24 36 = 1 4 6

9

Step-by-step explanation:

let 2nd proportion be x

6:x=24:36

6÷x=24÷36

x=6×36÷24

x=9

Find the slope of the line that passes through the points given in the first column and match them with the appropriate result.
Number: (10,7) and (1,2)
Drags And Drops:5/9, -7/8, 2/7, 6/7, 5/7

Answers

Answer:

5/9.

Step-by-step explanation:

The slope is the difference in y-values  divided by corresponding difference in x-values.

So here:

Slope = (7-2)/(10-1)

= 5/9.

A drug company is considering marketing a new local anesthetic. The effective time of the anesthetic the drug company is currently producing has a normal distribution with a mean of 7.4 minutes with a standard deviation of 1.2 minutes. The chemistry of the new anesthetic is such that the effective time should be normally distributed with the same standard deviation, but the mean effective time may be lower. If it is lower, the drug company will market the new anesthetic; otherwise, they will continue to produce the older one. A sample size of 36 results in a sample mean of 7.1. A hypothesis test will be done to help make the decision

Required:
a. For a test with a level of significance of 0.10, compute the critical value; set up the appropriate hypotheses and the calculate the p-value of the test
b. Will the null hypothesis will be rejected with a level of significance of 0.10? Explain why or why not?

Answers

Using the z-distribution, we have that:

a)

The hypothesis test is:

[tex]H_0: \mu = 7.4[/tex][tex]H_1: \mu < 7.4[/tex]

The p-value is of 0.0668.

The critical value is [tex]z^{\ast} = -1.28[/tex]

b) Since the test statistic is less than the critical value for the left-tailed test, there is enough evidence to conclude that the null hypothesis will be rejected.

Item a:

At the null hypothesis, it is tested if the mean is of 7.4 minutes, that is:

[tex]H_0: \mu = 7.4[/tex]

At the alternative hypothesis, it is tested if the mean is lower than 7.4 minutes, that is:

[tex]H_1: \mu < 7.4[/tex]

We have the standard deviation for the population, hence, the z-distribution is used.

The test statistic is given by:

[tex]z = \frac{\overline{x} - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

The parameters are:

[tex]\overline{x}[/tex] is the sample mean. [tex]\mu[/tex] is the value tested at the null hypothesis. [tex]\sigma[/tex] is the standard deviation of the sample. n is the sample size.

For this problem, the values of the parameters are: [tex]\overline{x} = 7.1, \mu = 7.4, \sigma = 1.2, n = 36[/tex].

Hence, the value of the test statistic is:

[tex]z = \frac{\overline{x} - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

[tex]z = \frac{7.1 - 7.4}{\frac{1.2}{\sqrt{36}}}[/tex]

[tex]z = -1.5[/tex]

Using a z-distribution calculator, the p-value is of 0.0668.

Also using a calculator, considering a left-tailed test, as we are testing if the mean is less than a value, the critical value with a significance level of 0.1 is of [tex]z^{\ast} = -1.28[/tex].

Item b:

Since the test statistic is less than the critical value for the left-tailed test, there is enough evidence to conclude that the null hypothesis will be rejected.

You can learn more about the use of the z-distribution to test an hypothesis at https://brainly.com/question/16313918

Estimate and solve 2,352 ÷ 4 =

Answers

Answer

588 is the exact answer. Which is about 590 or 600.

Step-by-step explanation:

how old are you android phone is not

Answers

Answer:

I am 14 years old

Step-by-step explanation:

I don’t have a android

If 12 candy canes cost $318, what will be the cost of 4 candy canes?​

Answers

Answer:

4 candy canes = $ 106

Step-by-step explanation:

Using unitary method to solve this question.

Given that:

12 candy canes = $ 318

Divide both sides by 12

1 candy cane = $318/12

1 candy cane = $26.5

Now, Multiply both sides by 4

4 candy canes = $ 26.5 * 4

4 candy canes = $ 106

[tex]\rule[225]{225}{2}[/tex]

Hope this helped!

~AH1807

Pls explain how to solve it! (Will mark brainylist)

Answers

Answer:

1,1

Step-by-step explanation:

x=1

y=1

if this is substitution then x IS 7y-6 so then you can replace the x in the other problem with 7y-6 but since it is 5x you will need to do 5(7y-6) which is 35y-30-4y=1

add 30 to both sides to get 35y-4y=31

subtract 4y from 35y to get 31y=31 get the y alone by dividing 31 from both sides to get y=1. then replace the y in the problem where the x is already alone to get x=7×1-6

7x1 is 7 so then 7-6=1 and that gives us x=1.

Hope this helped

SOMEONE PLS GIVE ME THE ANSWER AND NO FREAKING LINKS.



Calculate the distance between the points M=(-1,-2) and C=(-9, 2) in the coordinate plane.
Round your answer to the nearest hundredth.

Answers

Answer:

8.9443

Step-by-step explanation:

d = √((x2-x1)2 + (y2-y1)2)

Step by step procedure:

Find the difference between coordinates:

(x2-x1) = (-9 - -1) = -8

(y2-y1) = (2 - -2) = 4

Square the results and sum them up:

(-8)2 + (4)2 = 64 + 16 = 80

Now Find the square root and that's your result:

Exact solution: √80 = 4√5

Approximate solution: 8.9443

During an 8 hour work-day, Bob spends 2
hours on the phone. What fraction of the day
does he spend on the phone?
A. 1/5
B. 1/3
C. 1/4
D. 1/8

Answers

The question states that Bob spends 2 hours a day on the phone [which basically answers the how much time does he spend]. Next, find the total amount of hours in his day, which is 8 [stated in the question].

Write a fraction from the given information;

2/8, then simplify, by diving both the numerator and denominator by 2.

Therefore,

C) 1/4

What is the value of e?

Answers

60+69=129
e equals 129
The answer is 129

Point slope form question

How would I turn (2,-5) (-3, 10) into a point slope equation?

Answers

Answer:

y+5=-3(x-2)

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(10-(-5))/(-3-2)

m=(10+5)/-5

m=15/-5

m=-3

y-y1=m(x-x1)

y-(-5)=-3(x-2)

y+5=-3(x-2)

describes one way in which the environment's physical characteristics affected colonial economic activities?

Answers

Answer:

Existence of rivers is used as water sources method of distribution

 Existence of resources for material.

Step-by-step explanation:

Hope it helps. Sorry if it's wrong.

If I have a ramp of 8 feet in length and 4 feet in height what is the diagonal length and degree

Answers

Answer:

almost 9

Step-by-step explanation:

please Help NEED NOW

thank you so much

Answers

Divide the rise by the run

What are the equations for the asymptotes of this hyperbola?
Y^2/36 - x^2/121=1

Answers

Answer:

[tex]\huge{\mathfrak{Solution}}[/tex]

[tex]\huge{\bold{ \frac{ {y}^{2} }{36} - \frac{ {x}^{2} }{121} = 1 }}[/tex]

[tex]\huge{\bold{ \frac{(y - k) {}^{2} }{ {a}^{2} } - \frac{(x - h) {}^{2} }{ {b}^{2} } = 1 \: is \: the \: standard \: equation \: with \: center \: (h ,k),semi-axis \: a \: and \: semi-conjugate \: -axis \: b.}}[/tex]

[tex]\huge\boxed{\mathfrak{We \: get,}}[/tex]

[tex](h,k) = (0,0),a = 6,b = 11[/tex]

[tex]For \: hyperbola \: assymtoms \: are \: y = + \frac{a}{b} (x - h) + k[/tex]

[tex]Therefore,y = \frac{6}{11} (x - 0) + 0,y = - \frac{6}{11} (x - 0) + 0[/tex]

[tex]\large\boxed{\bold{y = \frac{6x}{11},y = - \frac{6x}{11} . }}[/tex]

If y²/36 - x²/121 = 1, the asymptotes are y = (36/121) x and y = -(36/121) x.

To find the equations for the asymptotes of the hyperbola represented by the equation y²/36 - x²/121 = 1, we can compare it with the standard form of a hyperbola:

(y - k)² / a² - (x - h)² / b² = 1

where (h, k) represents the center of the hyperbola.

In the given equation, we have y²/36 - x²/121 = 1. To put it in standard form, we need to divide both sides by 1 (which is essentially dividing by 1 on the right side):

y²/36 - x²/121 = 1 / 1

Now, we can see that a² = 36 and b² = 121.

To find the equations of the asymptotes, we use the center (h, k) and the values of a and b. The asymptotes of a hyperbola have equations of the form:

y = k ± (a/b)(x - h)

In this case, the center (h, k) is (0, 0), a² = 36, and b² = 121:

The equations for the asymptotes are:

y = 0 ± (36/121) x

To learn more about asymptotes click on,

https://brainly.com/question/12601454

#SPJ2

Triangle BAD is a rotation of triangle DCB around point E by 180 degrees.





Which angle is congruent to angle DBA?


A. BCD

B. CBD

C. DBC

D. BDC

Answers

Taking point Z as the origin, the coordinates of the points on ΔBAD are

given by changing the sign of the coordinates of points in ΔDCB.

The angle that is congruent to ∠DBA is; D. ∠BDC

Reasons:

The given parameters are;

Triangle ΔBAD is the image of ΔDCB following a rotation of 180°.

Required:

The angle congruent to ∠DBA.

Solution:

Given that the rotation of triangle DCB is 180°, we have that the

coordinates of a point (x, y) in ΔDCB is (-x, -y) in ΔDBA.

Therefore, side DC is parallel to side AB

Which gives;

∠DBA is congruent to ∠BDC by alternate interior angles theorem.

∠DBA ∠BDC

The angle that is congruent to ∠DBA is; option D. ∠BDC

Learn more about rotation transformation here:

https://brainly.com/question/4738741

A survey of 2,541 American households discovered that 64% of the households own one car.

what is the population?

what is the sample?

Answers

Answer:

See below

Step-by-step explanation:

The population is all American households

The sample is 2,541 of those American households

LOKK AT THE PICTURE PLEASE

Answers

Answer:

A. 9

Step-by-step explanation:

Multiply 3x with x+2

3x(x+2)

Which is 3x^2+6x

Now substitute x with 1

1^2 is 1

3 times 1 is 3

6 times 1 is 6

3+6 is 9

Thus A.

Hope this helps!



On the set of axes below. solve the following
system of equations graphically. Statc the
coordinates of the solution.
y=4x-1
2x + y = 5

Answers

Answer:

i think x=1 y=3 (1,3)

Step-by-step explanation:

2x+4x-1 = 5

x = 1

y = 4x-1

y = 4(1)-1

y = 4-1

y = 3

Other Questions
Why did Gandhi call for boycotts on British goods?A. He wanted Britain to lose money.B. He wanted Indians to be self-sufficient.C. He wanted to create Indian monopolies.D. He wanted Indians to rely less on materialgoods.Check Answer Determine the intercepts of the line. Why is the Democratic Party and the Republic Party still major parties to this day? A girl ran to the store at a speed of 6 miles per hour, and then walked back at a speed of 4 miles per hour. If her round trip took 15 minutes, how far away is the store? is atom on the offficial repository of ubuntu ? verdadero o falso g. La contraccin de palabras es tpica del nivel vulgar. h. Una conversacin con un profesor se da en el nivel familiar 4. Geographers look at the world in spatial terms. This meansA. they only study how changes to Earth occur.B. they examine why people choose to live in a certain place.C. they look at how things are arranged rela(ve to each other.D. they prefer the use of maps to answer geographic ques(ons. A scale of a model has a scale of 1:360.A. The actual length of the football field including the end zones is 120. how long in inches is the football field in the model?B How many times the length of the model is the length of the actual stadium in what 3 ways did the presidential election process change as a result of the election of 1800? Pls help as soon as possible thank you Find a quadratic model in standard form for the set of values.(-2, 18), (0, 4), (4, 24) Can someone help me on this question? The question is down below... please help me, and be nice, don't be a jer.k (you know who you are..)ty :) x^2 + bx - 4 = 0?What is b equal to? The point (-1, 5) is reflected over the y-axis. Where is the location of the new image?(-1, -5)(5, 1)(1, 5)(1, -5) with the development of technology why is muscle atrophy occurring more often what can you do to stop it THIS IS A SCIENCE QUESTION Determine the rTo understand the concept of nodes of a standing wave.The nodes of a standing wave are points where the displacement of the wave is zero at all times. Nodes are important for matching boundary conditions, for example that the point at which a string is tied to a support has zero displacement at all times (i.e., the point of attachment does not move).Consider a standing wave, where y represents the transverse displacement of a string that extends along the x direction. Here is a common mathematical form for such a wave:y(x,t)=Acos(kx)sin(t),where A is the maximum transverse displacement of the string (the amplitude of the wave), which is assumed to be nonzero, k is the wavenumber, is the angular frequency of the wave, and t is time.Part AWhich one of the following statements about wave y(x,t) is correct?adius of the 236U nucleus. Guys this might seem annoying because I just added a question few mins ago but I got home only about 5 to 10 mins ago and I have to go to bed soon and I gotta finish my hwSorry, here is my question 20 points for it Im kinda low on them too so small amounts of points, Ill make up for it tomorrow thanks so much :) what are two words that use the Latin root onus, meaning burden? PLEASE HELP ME please