Find an equation for the line perpendicular to =−3/2x+5 with y-intercept(0, -15).

Answer:

-3313

Step-by-step explanation:

3x^5 + 4x^3 - x +11

Put x as -4 and evaluate.

3(-4)^5 + 4(-4)^3 - (-4) + 11

-3072 + - 256 + 4 + 11

= -3313

Answer:

A and D

Step-by-step explanation:

Quadrilateral is a four sided figure

Parallelogram is a quadrilateral with two pairs of parallel sides

Answer:

Option B

Step-by-step explanation:

First identify which options are a match for the hyperbola with a foci of (- 12, 6) and ( 6, 6 ). If there is only one, we can claim that that is the solution. Otherwise we would have to take the vertices into account,

The first option can be eliminated as it is present with a decimal in the denominator, indicating that the foci should also be a decimal. However, the foci of this option should be valuable to us -

[tex]\left(h+c,\:k\right),\:\left(h-c,\:k\right),\\\left(-3+c,\:6\right),\:\left(-3-c,\:6\right),\\c = ( About ) 3.6,\\\\Foci = \left(0.55808 ,\:6\right),\:\left(-6.55808,\:6\right)[/tex]

The second option squares the denominators of the first option, so the foci should be the following -

[tex]Foci = ( - 12, 6 ), ( 6, 6 )[/tex]

Which is the given! The rest of the options are similar to this second option, but are altered, thus don't have the same foci,

Solution = Option B

Answer:

3/2

Step-by-step explanation:

We can find the slope of this line by using two points

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

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

    = (0- -3)/(3 -1)

    = (0+3)/(3-1)

    = 3/2

Answer:

55+/-3.69

= (51.31, 58.69)

Therefore, the 99% confidence interval (a,b)= (51.31, 58.69)

Step-by-step explanation:

Confidence interval can be defined as a range of values so defined that there is a specified probability that the value of a parameter lies within it.

The confidence interval of a statistical data can be written as.

x+/-zr/√n

Given that;

Mean x =55

Standard deviation r = 10

Number of samples n = 49

Confidence interval = 99%

z-value (at 99% confidence) = 2.58

Substituting the values we have;

55+/-2.58(10/√49)

55+/-2.58(1.428571428571)

55+/-3.685714285714

55+/-3.69

= (51.31, 58.69)

Therefore, the 99% confidence interval (a,b)= (51.31, 58.69)

Answer:

c) Both receive the same push

Step-by-step explanation:

The buoyancy force is equal to the weight of the displaced fluid:

B = ρVg

where ρ is the density of the water, V is the volume of displaced water, and g is the acceleration due to gravity.

Since both spheres displace the same amount of water, they have equal buoyancy forces.

Answer:

[tex]\± \sqrt{x + 7}[/tex]

Step-by-step explanation:

y = x² - 7

Add 7 to both sides.

y + 7 = x²

Take square root on both sides.

±√(y +  7) = x

Switch variables.

±√(x + 7) = y

Answer: x = 6.5

Step-by-step explanation:

[tex]7x-14=3x+12\\\\Add(14)\\\\7x=3x+26\\\\Subtract(3x)\\\\4x=26\\\\Divide(4)\\\\x=6.5[/tex]

Hope it helps <3

Answer:

x=26/4 (simply to 13/2)

Step-by-step explanation:

Add 14 to both sides to cancel out the negative 14

7x=3x+26

Subtract 3x from both sides to cancel the 3x

4x=26

x=26/4 or 13/2

Answer:

12

Step-by-step explanation:

Given:

Let the number be x.

According to the question,

8(x-6)= 4 x

8 x-48=4 x

8 x-4 x= 48

4 x=48

x=48/4

x=12

Thank you!

Given:

The lengths of the rectangle have been measured to the nearest tenth of a centimetre 87.3 and 51.8  

To find:

the upper bound for the area of the rectangle

Solution:

From given, we have,

The length of the rectangle = l = 87.3 cm

The breadth of the rectangle = b = 51.8 cm

Area of the rectangle = lb = 87.3 × 51.8 = 4522.14 cm²

The upper bound for the area of the rectangle = 4522.14 + 100/2 = 4522.14 + 50 = 4572.14 cm²

Answer:

Quad 1

Step-by-step explanation:

Answer: up to 999

Step-by-step explanation: Now, if you consider repetition allowed, all the numbers from 100 to 999 are 3 digit numbers. How many numbers are formed ? count numbers starting from 100 up to 999. Hence, 900 numbers are formed.

Answer:

Grandma baked 72 cakes

Step-by-step explanation:

Let x=biscuits cake baked by grandma

1/4x=chocolate

1/3x=nuts

1/4+1/3=3+4/12

=7/12x

Remaining

X-7/12x

=12-7x/12

=5/12x

1/2 of 5/12x=fruit

5/24x =fruit

Remaining

5/12x-5/24x=15

10-5/24x=15

5/24x=15

x=15÷5/24

=15*24/5

=360/5

=72

x=72 cakes

Grandma baked 72 cakes

Answer: 60

Step-by-step explanation:

so the first thing is 1/4 of the whole thing is gone. Then a third of the now 3/4 is another 1/4 which makes 1/2. A 1/2 of 1/2 is a 1/4 which means the last 1/4 is 15. Then do 15*4 to get your answer.

Answer:

s-7<3

in order to find the value adding 7 on both sides

s-7+7<3+7

s<10

Step-by-step explanation:

i hope this will help you :)

Answer:

s-7<3

in order to find the value adding 7 on both sides

s-7+7<3+7

s<10

Step-by-step explanation:

Answer:

(a) [tex]\frac{1}{13}[/tex]

(b) [tex]\frac{3}{13}[/tex]

(c) [tex]\frac{10}{13}[/tex]

Step-by-step explanation:

The probability of an event B occurring is given by;

P(B) =  [tex]\frac{n(E)}{n(S)}[/tex]

Where;

P(B) = probability of the event B

n(E) = number of favourable outcomes

n(S) = total number of events in the sampled space.

From the question, the card is drawn randomly from a standard 52-card deck. The probability of

(a) drawing a "king" card is analyzed as follows.

Let the event of drawing the "king" card be B.

In a standard 52-card deck, the number of cards that are of type king is 4. i.e 1 from the diamond pack, 1 from the spade pack, 1 from the heart pack and 1 from the club pack.

Therefore, the number of favourable outcomes is 4, while the total number of events in the sampled space is 52.

The probability of drawing a "king" card, P(B) is;

P(B) = [tex]\frac{4}{52}[/tex]

P(B) = [tex]\frac{1}{13}[/tex]

(b) drawing a "face" card is analyzed as follows.

Let the event of drawing the "face" card be B.

In a standard 52-card deck, a face card can either be a Jack, Queen or a King. There are 4 Jack cards, 4 Queen cards and 4 King cards in the deck.  The number of cards that are of type face is 12.

Therefore, the number of favourable outcomes is 12, while the total number of events in the sampled space is 52.

The probability of drawing a "face" card, P(B) is;

P(B) = [tex]\frac{12}{52}[/tex]

P(B) = [tex]\frac{3}{13}[/tex]

(c) drawing a card that is not a "face" is analyzed as follows;

The sum of the probability of drawing a face card and the probability of not drawing a face card is always 1.

Let the event of drawing a "face" card be B and the event of not drawing a "face" card be C.

P(B) + P(C) = 1

P(C) = 1 - P(B)

From (b) above, the P(B) = [tex]\frac{3}{13}[/tex]

Therefore,

P(C) = 1 - [tex]\frac{3}{13}[/tex]

P(C) = [tex]\frac{10}{13}[/tex]

Answer:

[tex]3\sqrt{6}[/tex]

Step-by-step explanation:

We are to determine the limit below.

[tex]\lim _{x \rightarrow8}\sqrt{7x-2}[/tex]

Plug in 8 into the function.

[tex]\lim _{x \rightarrow8}\sqrt{7x-2}=\sqrt{7(8)-2}\\=\sqrt{56-2}\\ =\sqrt{54}\\ =3\sqrt{6} \\\lim _{x \rightarrow8}\sqrt{7x-2}=3\sqrt{6}[/tex]

Answer:

we approach the issue by taking note of that a 2 x 2 matrix can either have 1 0r 2 pivot columns. If the matrix has no pivot columns then every entry in the matrix must be zero.

-> if our matrix has two pivot columns then : [tex]\left(\begin{array}{rr}-&*&0&-\end{array}\right)[/tex]

-> if our matrix has one pivot column then we have a choice to make. If the first column is pivot column then: [tex]\left(\begin{array}{rr}-&*&0&0\end{array}\right)[/tex]

->otherwise, if the pivot column is the second column then: [tex]\left(\begin{array}{rr}0&-&0&0\end{array}\right)[/tex]

Answer:

.321,.33,.4

Step-by-step explanation:

the point is like negative it decreases with

the big number is consider the smallest with the point while without the point the big number remains

Answer:

0.3811 = 38.11% probability that he weighs between 170 and 220 pounds.

Step-by-step explanation:

When the distribution is normal, we use the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

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

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this question, we have that:

[tex]\mu = 200, \sigma = 50[/tex]

Find the probability that he weighs between 170 and 220 pounds.

This is the pvalue of Z when X = 220 subtracted by the pvalue of Z when X = 170.

X = 220

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

[tex]Z = \frac{220 - 200}{50}[/tex]

[tex]Z = 0.4[/tex]

[tex]Z = 0.4[/tex] has a pvalue of 0.6554

X = 170

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

[tex]Z = \frac{170 - 200}{50}[/tex]

[tex]Z = -0.6[/tex]

[tex]Z = -0.6[/tex] has a pvalue of 0.2743

0.6554 - 0.2743 = 0.3811

0.3811 = 38.11% probability that he weighs between 170 and 220 pounds.

Answer:

First option: 3

Step-by-step explanation:

To solve for side 'a', use the Pythagorean Theorem

a² + b² = c²

where "c" is always the longest side called the hypotenuse,

"a" and "b" are the two shorter sides called legs.

Substitute c = 5 (hypotenuse) and b = 4

a² + b² = c²

a² + (4)² = (5)²

Square the numbers you know

a² + 16 = 25

Subtract 16 on both sides to isolate 'a'

a² = 25 - 16

a² = 9

Find the square root on both sides

a = √9

a = 3

The answer is option A. ( i.e 3)... answer.

Answer:

The correct options are (1), (3) and (5).

Step-by-step explanation:

The two triangles are shown below.

The measure of ∠F corresponds to ∠F'.

The distance between the points D and origin is of 9 units.

And the distance between the points D' and origin is 3 units.

Thus, the distance from point D' to the origin is One-third the distance of point D to the origin.

Check for similarity:

[tex]\frac{D'F'}{DF}=\frac{D'E'}{DE}=\frac{F'E'}{FE}=\frac{1}{3}[/tex]

Thus, the △DEF is similar to △D'E'F'.

Thus, the correct options are (1), (3) and (5).

Answer:

I think it's the first, third, and fifth options.

Step-by-step explanation:

I hope this helps.

Answer:

Stella

Step-by-step explanation:

I guessed and got it right

Answer:

none none and none

Step-by-step explanation:

Answer:

3.4 grams

Step-by-step explanation:

The water 20g has salt solution of 17%.

If you were to evaporate all the water.

17% × 20

0.17 × 20 = 3.4

You would get 3.4 grams of salt.

The amount of salt extracted when evaporating 20g of a 17 % salt solution is 3.4 grams of salt

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the percentage of salt solution be = 17 %

The total amount of solution = 20g

The amount of salt while evaporating the solution is =
percentage of salt solution x total amount of solution

So , the equation will be

The amount of salt while evaporating the solution is = ( 17 / 100 ) x 20

The amount of salt while evaporating the solution is = 0.17 x 20

The amount of salt while evaporating the solution is = 3.4 grams

Therefore , the value is 3.4 grams

Hence , The amount of salt extracted when evaporating 20g of a 17 % salt solution is 3.4 grams of salt

To learn more about equations click :

https://brainly.com/question/10413253

#SPJ2

Answer:

Step-by-step explanation:

log(x²+8)=1+log(x)

log(x²+8)-log(x)=1

[tex]log\frac{x^2+8}{x} =1\\\frac{x^2+8}{x} =10^1\\x^2+8=10x\\x^2-10x+8=0\\x=\frac{10 \pm \sqrt{(-10)^2-4*1*8} }{2} \\=\frac{10 \pm \sqrt{100-32} }{2} \\=\frac{10 \pm \sqrt{68} }{2} \\=\frac{10 \pm 2\sqrt{17} }{2} \\=5 \pm \sqrt{17}[/tex]

Answer:

1.3 in

Step-by-step explanation:

If 0.75 is 0.55 less than the average amount, the answer must be 0.75 + 0.55 = 1.3 inches.

Answer:

1.3 in

Step-by-step explanation:

Not exactly

The values of the table are determined by the equation

The side opposite to angle B is the side that does not contact with angle B.

In this attached image, you can see better that sides AB and BC is in contact with angle B. So, the opposite side to angle B is AC.

Therefore, the lenght of the side opposite to angle B is 4 units.

Answer:

B 4Units

Step-by-step explanation:

Edg 2020 or maybe 2022

Answer:

work is shown and pictured

Answer:

(-2, 13)

Step-by-step explanation:

Or b on edge