Find a counterexample to show that the conjecture is false. The product of two positive numbers is always greater than either number.

Answer:

98

Step-by-step explanation:

the measure of  angles of a triangle=180

the measure of straight angle=180 find angle HAC:

180-128=52

angle A: 180-52-46= 82

now find IAC : 180-82=98 degrees

Answer:

a. -5 + 3x = -41

3x = -36

x = -12

b. 7x - 4 = -2x + 11

9x = 15

x = 15/9 = 1 and 2/3

c. (-4x) / 5 = 8

-4x = 40

x = -10

d. x / 3 - 1/2 = 1/4

4x - 6 = 3 (multiply by lcm of 3, 2 and 4 which is 12)

4x = 9

x = 9/4 = 2 and 1 / 4

e. -4(6x + 1) + 3 = 11 + 2(x + 2)

-24x - 4 + 3 = 11 + 2x + 4

-24x - 1 = 2x + 15

-26x = 16

x = -8/13

Answer:

the correct answer is (b).........

Answer:

ABC = 140

Step-by-step explanation:

ABD = 70

ABD = DBC since it is bisected

ABC = ABD + DBC

        = 70+70

ABC = 140

Answer:

I want to say it forms a right angle

Step-by-step explanation:

because when you health it out, y-nwould be the height x- would be at sea level

twelve feet high up then flying down at an angle to get a fish twelve feet away would give a right angle

Answer:

Step-by-step explanation:

2340 miles

Given

1 inch represents 10 miles

thus,

1 inch on map = 10 miles in real

given the two cities are 234 inches apart on map

1 inch on map = 10 miles in real

multiplying both side by 234

1 inch*234 on map = 10 miles*234 in real

234 inch on map = 2340 miles in real.

Thus, two cities are 2340 miles apart.

Answer:

27.5 miles

Step-by-step explanation:

You need to multiply 2 3/4 by 10, because it says every inch represents 10 miles.

2 3/4 * 10

11/4 * 10/1 = 55/2

27 1/2 or, 27.5

Answer:

Answer:

3x + 3y = 0

7x - y = 8

Step-by-step explanation:

Answer:

Step-by-step explanation:

The Factor Theorem says that if f(a) = 0, then (x -a) is a factor.

To check if any of these binomials are factors, we evaluate the function at the opposite of the binomial's constant. The results show that these are factors:

__

This is confirmed by the graph, which shows that the remaining factor is (x -1).

Answer:

x+ 1/3

x-4

x+5

Step-by-step explanation:

EDGE 2020 practice

Answer:

18, 23

Step-by-step explanation:

a. We know that W = 5 and D = 3 so:

P = 3W + D = 3 * 5 + 3 = 18 points

b. We know that P = 50 and D = 14 and that we are solving for W so we get:

50 = 3W + 14

36 = 3W

W = 12 which means the losses are 35 - 12 = 23.

(a) Given:

number of wins = 5

and, number of draws = 3

To find :

Point of the team.

Solution:

P = 3*5 + 3

 = 18

Point of the team = 18

(b)  Given:

number of points = 50

and, number of draws = 14

To find :

Number of games lost by the team.

Solution:

50 = 3*win + 14

3*win = 36

win = 12

Number of games lost by the team = 35 -  12 =23

Answer:

The probability for the dependent and the independent picky eater and not picky is similar in case of dependent variable and is different in case of independent variable.

Step-by-step explanation:

Independent variable is defined as the variables that are being manipulated, changed, or altered in a specific experiment or research in order to see its effect on the dependent variable.

The dependent variable is defined as the variable that is being measured or tested in a particular experiment or research by the investigator.

In the question above, as mentioned in the image or attachment, the probability of dog being picky or non-picky eater can be both dependent and independent in the different scenarios.

Answer: x=4

               x=12

Step-by-step explanation:

7x=28

divide 7 on both sides

28/7=4

x=4

4x=48

divide 4 on both sides

48/4=12

x=12

Answer:

See the answers below.

Step-by-step explanation:

[tex]Slope\:=\:\frac{Rise}{Run}\:=\:\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]m=\frac{6}{100}=\frac{3}{50}[/tex]    (Option C. is right choice.)

The constant rate of change is given by the slope as:

[tex]m=\frac{20-10}{30-15}\\\\m=\frac{10}{15}\\\\m=\frac{2}{3}[/tex]

Option H. is the right choice.

Best Regards!

Answer:

B. 3/5 is correct.

Step-by-step explanation:

P(A or B) is the number of students within either set (circle) divided by the total number of students (10).

There are 6 students (3+1+2)  in the sets, so

P(A or B) = 6/10 = 3/5

Answer B. 3/5 is correct.

The value of P(A or B) from the Venn diagram is 2/5.

A Venn diagram is an overlapping circle to describe the logical relationships between two or more sets of items.

We have,

Event A = Students that play basketball

Event B = Students that play Soccer

Now,

From the Venn diagram,

P(A) = 3/10

P(B) = 2/10

P(A ∩ B ) = 1/10

Now,

P(A or B) = P(A U B ) = P(A) + P(B) - P (A ∩ B)

So,

P(A U B )

= P(A) + P(B) - P (A ∩ B)

= 3/10 + 2/10 - 1/10

= (3 + 2 - 1) / 10

= 4/10

= 2/5

Thus,

The value of P(A or B) is 2/5.

Learn more about the Venn diagram here:

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Answer:

Step-by-step explanation:

[tex]V=10^2\cdot7+\frac13\cdot10^2\cdot(18-7)=700+\frac13\cdot1100=700+366,(6)=1066,(6)\\\\V\approx1067\,cm^2[/tex]

Answer:

A) $93,504.818

B) $40,000

C) $53,504.818

Step-by-step explanation:

Yearly contribution ( periodic payment) = $4000

Period (p) = 10years

Additional period(y) = 5years

Annual interest(r) = 9% = 0.09

Future value (FV) =

periodic payment [(1 + r)^y - 1] / r

4000 [(1 + 0.09)^10 - 1 / 0.09]

4000[1.09^10 - 1 / 0.09]

4000[1.3673636 / 0.09]

4000(15.192929)

= 60771.716

If left for five more years:

FV = 60771.716(1 + r)^n

FV = 60771.716(1 + 0.09)^5

FV = 60771.716(1.09)^5

FV = 60771.716(1.5386239549)

FV = $93,504.818

B) MR. HUGHES CONTRIBUTION :

Periodic payment × p ; $4000 was deposited annually for 10 years.

$4000 × 10 = $40,000

C) Interest = Future value - contribution

$93,504.818 - $40,000

= $53,504.818

Answer:

D. A translation 6 units to the right

Step-by-step explanation:

Triangle A coordinates

(-3,-1)

(0,1)

(-3,-5)

Triangle A' coordinates ( x + 6 )

(3,-1)

(6,1)

(3,-5)

Answer:

12 cups of salad

Step-by-step explanation:

Let the unknown cups of salad in the mixture be x( unknown cup in 55% mixture)

Thus, we have the following expression that shows the number of salad in the resulting mixture;

4(40%) + x(55%) = (4+x)(50%)

= 0.4(4) + x(0.55) = 0.5(4 + x)

= 1.6 + 0.55x = 0.2 + 0.5x

0.2 -1.6 = 0.55x-0.5x

0.4 = 0.05x

x = 0.4/0.05

x = 8 cups of salad

So the number of salad cups in the resulting mixture = x + 4 = 8 + 4 = 12 cups of salad

Answer:

12

Step-by-step explanation:

yes

Step-by-step explanation:

taking common (a-b)

so we get the answer

Answer:

y = 36.

Step-by-step explanation:

If you think about it, the three angles in the triangle add up to be 180. The missing angle just so happens to be part of a supplementary angle, that adds to be 180. If the unlabeled angle were denoted as x, we could have...

(y + 5) + y + x = 180

y + 41 + x = 180

(y + 5) + y + x = y + 41 + x

(y + 5) + y = y + 41

2y + 5 = y + 41

y = 36

Hope this helps!

Answer:

4(3x+2)

Step-by-step explanation:

Since all four sides of a square are the same length, the perimeter can be expressed as four times one of the side lengths. In this case, that is 4(3x+2). Hope this helps!

Step-by-step explanation:  since there are 4 sides on a square that will be the answer.

Answer: 4(3x + 2)

Answer:

x = 95°

Step-by-step explanation:

[tex]x = ?\\Sum -of- interior -angles=?\\Shape = pentagon\\No -of - sides= 5\\Sum- of- interior- angles = (n-2)180\°\\=(5-2)\times180\°\\3\times180\°\\Sum-of-interior-angles=540\°\\104\°+117\°+100\°+124\°+x\°=540\°\\445\°+x\° = 540\°\\x\° = 540\°-445\°\\x = 95\°[/tex]

Answer:

True

Step-by-step explanation:

an obtuse triangle is a big one, an acute triangle is a small one. They are both triangles, but they are not similar besides that

Answer:

True

Step-by-step explanation:

Because if one acute is obtuse the other two will be obtuse

Because the graphic interpretation of a system of two linear equations is two straight lines where coordinates of the intersection point of these lines represent the solution of the system.

Answer:

11.25% off i think

Step-by-step explanation:

Answer:

It is unidetified!!

Step-by-step explanation:

Answer:

5,6

Step-by-step explanation:

integers are set of positive and negative numbers. It does not have fraction in it.

Example.

.....- 4, -3, -2, -1,0, 1,2,3 ............

Thus we see integers are series of numbers with difference of 1.

Thus, if one integer is a

then next will be a+1

Given that

smaller of two consecutive integers is added to five times the larger the result is 35

larger integer = a+1

5 time larger integer = 5(a+1) = 5a +5

according to given situation

a+ 5a +5 = 35

6a = 35 - 5 = 30

=> a = 30/6 = 5

Thus, integers are

a = 5

a+1 = 5+1 = 6

The heights would be outside the 95% confidence interval will be 84.6 feet. Then the correct option is B.

If the sample size is given to be n < 30, then for finding the confidence interval for mean of population from this small sample, we use t-statistic.

Let the sample mean given as μ and

The sample standard deviation σ, and

The sample size = n, and

Suppose that a travel bureau claims that the trees in a forest are 85 feet tall on average, with a standard deviation of 2 feet.

If you took a sample of 64 trees.

Then the heights would be outside the 95% confidence interval will be

For 95% confidence interval, we have z = 1.645

⇒ μ ± z (σ/√n)

⇒ 85 ± 1.645 (2/√64)

For negative sign, we have

⇒ 84.588

⇒ 84.6 feet

For negative sign, we have

⇒ 85.41

⇒ 85.4 feet

Then the correct option is B.

Learn more about confidence interval of population for small sample here:

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Answer: Yes, it describes y as a function of x.

Step-by-step explanation:

A function describes y as a function of x if we have:

y = f(x)

where f(x) can be any function.

in this particular case, we have:

y = -x

so we can get this like f(x) = -x, that as we know this is a function of x.

then the relation y = -x is a function of x.

Another way to see it is that this actually is written as:

y = -1*x

the variable that is not being affected is the one being described, (in this case y) and the other variable is the variable of the function (in this case x.)

Answer:

85.33333

Step-by-step explanation:

You would simply substitute 4 whenever there is an x.

f(4) = (1/3) * 4^4

= (1/3) * 16 * 16

= (1/3) * 256

= 256/3

= 85.3333333333333333333333333333333333333

which is about 85.3333, or 85 and 1/3, or 256/3.

Hope this helps!

Answer:

Up 5

Right 2

Step-by-step explanation:

Lets graph it first.

Look at the image below ↓

By looking at it we can tell that it is not narrower or wider but it has been sent up 5 and right 2.

Thus,

it has been moved up 5 and right 2.

Hope this helps :)

Answer:

see explanation

Step-by-step explanation:

Given f(x) then f(x + k) is a horizontal translation of f(x)

• If k > 0 then shift left by k units

• If k < 0 then shift right by k units

thus (x - 2)² represents a shift to the right of 2 units

Given f(x) then f(x) + c represents a vertical translation of f(x)

• If c > 0 then shift up by c units

• If c < 0 then shift down by c units

Thus + 5 represents a shift up by 5 units

Overall the graph of y = (x - 2)² + 5 is the graph of y = x²

shifted right by 2 units and up by 5 units

Answer:

degree 3  zeros -1 and 1

Step-by-step explanation:

This is a third degree polynomial

f(x)=(x-1)^2(x+1)

It has an x^2 from the first term and an x from the second term for x^3

The zeros are x-1 =0  which means x=1

x+1 = 0  x=-1

Answer:

Step-by-step explanation:

(x-1)²(x+1) = x³-2x²+x+x²-2x+1

                 = x³-x²-x+1

                 = x²(x-1)-x+1

                 = x²(x-1)-(x-1)

                 = (x²-1) (x-1)

Answer: No real solutions

Step-by-step explanation:

The discriminant can tell you how many solutions a quadratic equation has. The formula is b²-4ac. This also comes from the quadratic equation.

6²-4(1)(10)

36-40

-4

Since the discriminant is less that 0, there are no roots.