The standard form of the equation of a parabola is y-2x2 - 8x-13. What is the vertex form of the equation?
A. y=-2(x-2)2 -13
B. y=-2(x+2)2 -5
C. y= -2(x+2)2 -13
D. y= -2(x-2)2 -5

The value of X is 4.6

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Good luck on your assignment

Answer:

[tex]x = 4 \frac{3}{5} \\ [/tex]

Step-by-step explanation:

[tex] \frac{3}{x + 2} = \frac{4}{3x - 5} \\ [/tex]

Use cross multiply

[tex]3(3x - 5) = 4(x + 2) \\ 9x - 15 = 4x + 8 \\ 9x - 4x = 15 + 8 \\ 5x = 23 \\ \frac{5x}{5} = \frac{23}{5} \\ x = 4 \frac{3}{5} [/tex]

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Answer:

y = [tex]\frac{5^{x} }{2}[/tex]

Step-by-step explanation:

y = log 5 2x

inverse ------> y=x

x = log 5 2y

[tex]5^{x} = 2y[/tex]

y = [tex]\frac{5^{x} }{2}[/tex]

Answer:

y = ([tex]5^{x}[/tex] )/2

Step-by-step explanation:

Hope This Helps!!

Answer:

area 4.5

Step-by-step explanation:

C has the largest Area. It's area is 4.5

hope this helps

Answer:

C has the largest area.

Step-by-step explanation:

3x3=9, 9/2=4.5

Answer:

The answer is the first option.

Step-by-step explanation:

When you flip it over the y axis. A would still be the same. ANd the first one matches A.

Answer: 6.4 hours

Step-by-step explanation:

Hi, to answer this question we have to write an equation for each case:

Happy paws: the cost is equal to the fixed charge (19) plus the product of the charge per hour (3.50) and the number of hours (h).

Happy Paws Cost = 19+3.50h

Woof Watchers: the cost is equal to the fixed charge (11) plus the product of the charge per hour (4.75) and the number of hours (h).

Woof Watcher Cost = 11+ 4.75h

Since both costs must be equal:

Happy Paws Cost =Woof Watcher Cost

So:

19+3.50h = 11+ 4.75h

Solving for h:

19-11 = 4.75h-3.50h

8 = 1.25h

8/1.25 =h

h = 6.4 hours

Step-by-step explanation:

Total professors = 10

Probability of chemistry professors = 2/6 = 1/3

Answer: 1 squealer apart if on a square grid

Step-by-step explanation:

Answer:

The distance is 1

Step-by-step explanation:

Since the x coordinates are the same, we only need to look at the y coordinates

-3 - -4

-3 +4

1

Answer:

7

Step-by-step explanation:

To find the answer, consult the worst case. The worst thing that can happen is Dorothy selects the 5 white balls first. Now, only red balls remain. Since Dorothy can only select red balls, the first 2 balls she will pick will be red. 5+2=7. Dorothy must select 7 balls to be sure she has at least 2 red balls.

The number of balls that Dorothy must select to be sure she has at least two red balls is 6.

To be sure Dorothy has at least two red balls, we need to consider the worst-case scenario where she selects all the white balls before selecting any red balls.

Since there are 5 red balls and 5 white balls, the probability of selecting a red ball on the first draw is 5/10 or 1/2. If Dorothy selects a white ball on the first draw, the probability of selecting a red ball on the second draw is 5/9 since there will be 5 red balls and 9 balls in total remaining in the bowl.

In the worst-case scenario, Dorothy selects all 5 white balls first, so she needs to draw at least 6 balls to be sure she has at least two red balls. This is because on the sixth draw, there will be 5 red balls and 4 white balls left in the bowl, ensuring that she gets at least two red balls.

Therefore, the number of balls Dorothy must select is at least 6 balls to be sure she has at least two red balls.

Read more about probability here: https://brainly.com/question/25870256

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Answer:

D. 2

Step-by-step explanation:

We know that y=2x-3. We want to find out what the value of x is when y=1. Therefore, we can substitute 1 in for y in the equation.

Equation: y=2x-3

Substitute 1 in for y: 1=2x-3

Now, solve for x.

1=2x-3

3 is being subtracted from 2x. The inverse of subtraction is addition. Add 2 to both sides.

1+3=2x-3+3

1+3=2x

4=2x

x is being multiplied by 2. The inverse of multiplication is division. Divide both sides by 2.

4/2=2x/2

4/2=x

2=x

The correct answer is D. 2

Answer:

C

Step-by-step explanation:

You take the fractions and turn them into mixed numbers. You do that by multiplying the whole number with the denominator and adding the numerator for the new numerator and the denominator stays the same. Now, you'd get -45/8 + 7/2. Change the denominator of the second one to 8 so you can add them, do this by multiplying the numerator and denominator by 4. Now you get -45/8 + 28/8. -45 +28 is -17 so your answer is -17/8. If you need it In mixed form, 8 goes into -17 2 times so you get -2 and the remainder 1/8 so -2 1/8.

Answer:

c

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

Answer:

1

From -2 to 0 there is 2, but from  1 to 3 there is also 2, so 2/2=1

Answer:

Option (D). 536.2 yd³

Step-by-step explanation:

Radius of the circular base of the cone = 8 yd

Height of the given cone = 8 yd

Formula for the volume of the cone = [tex]\frac{1}{3}\pi r^{2}h[/tex]

Here r = radius of the circular base of the cone

h = height of the cone

By substituting the values of r and h in the formula,

V = [tex]\frac{1}{3}\pi (8)^2\times (8)[/tex]

   = [tex]\frac{1}{3}(512\pi )[/tex]

   = 526.165

   ≈ 526.2 yd³

Therefore, volume of the given cone is 526.2 yd³.

Option (D) will be the answer.

Answer:

D

Step-by-step explanation:

Answer:

He is wrong, because for 2 inches of height, the peice of wood for base has smaller width than the width required for the base Maurice wants to make.

Step-by-step explanation:

Length of wood = 18 inches

Width of wood = 12 inches

If height of the table is needed = 2 inches

2 inches are reduced from each side of the piece of wood.

The new measurement become:

Length of wood = 18 - 2 - 2 inches

Length of wood = 14 inches

Width of wood = 12 - 2 - 2

Width of wood = 8 inches

Maurice wants to make a table with following dimensions:

Base = [tex]10\frac{1}{2}\cdot10\frac{1}{2}[/tex]

which means

Length required = [tex]10\frac{1}{2} = \frac{21}{2}=10.5 inches[/tex]

Width required = [tex]10\frac{1}{2} = \frac{21}{2}=10.5 inches[/tex]

As width is greater than the width of the piece of wood , he cannot make a table of such dimension from it.

Answer: B. A line is the set of all points in a plane at a given distance from a given point.  

Step-by-step explanation:

There is no step by step but hope it helps! :)

Answer:

(A) The M virus is larger than the P virus in diameter

(B) Diameter of virus M is 25 times the diameter of virus P

Step-by-step explanation:

Notice that the values given are in the so called "scientific notation", and which involves in this case negative exponents for the multiplier 10.

So we can write these values in decimal form for easier comparison of which one is he largest one:

Diameter of M virus = [tex]5\,*\,10^{-7}\,m = 0.0000005\,\,m[/tex]

Diameter of P virus = [tex]2\,*\,10^{-8}\,m = 0.00000002\,\,m[/tex]

Which clearly shows that virus M is larger than virus P in diameter

The quotient between diameters will give us the answer to how many times larger virus' M diameter is:

[tex]\frac{M}{P} =\frac{0.0000005}{0.00000002} \\\frac{M}{P} =25[/tex]

Answer:

1.5

45

Step-by-step explanation:

The probability for each answer is 1/4

Each question has an expected value of 1.5 points.

The expected score of the test is 30*1.5= 45 points

Answer:

[tex]P(E_1 or E_2) = \frac{7}{12}[/tex]

Step-by-step explanation:

Given

Two cubes of side 1 - 6

Required

Probability that the outcome of the roll is an odd sum or a sum that is a multiple of 5

First, the sample space needs to be listed;

Let [tex]C_r[/tex] represent the Red cube

[tex]C_b[/tex] represent the Blue cube

S represent the sample space

[tex]C_r = (1,2,3,4,5,6)\\C_b = (1,2,3,4,5,6)\\S = (2,3,4,5,6,7,3,4,5,6,7,8,4,5,6,7,8,9,5,6,7,8,9,10,6,7,8,9,10,11,7,8,9,10,11,12)[/tex]S is gotten by getting the sum of [tex]C_r[/tex] and [tex]C_b[/tex]

[tex]n(S) = 36[/tex]

Calculating the Probability

Let [tex]E_1[/tex] represent the event that an outcome is an odd sum

[tex]E_1 = (3,5,7,3,5,7,5,7,9,5,7,9,7,9,11,7,9,11)[/tex]

[tex]n(E_1) = 18[/tex]

[tex]P(E_1) = \frac{n(E_1)}{n(S)}[/tex]

[tex]P(E_1) = \frac{18}{36}[/tex]

Let [tex]E_2[/tex] represent the event that an outcome is a multiple of 5

[tex]E_2 = (5,5,5,5,10,10,10)[/tex]

[tex]n(E_2) = 7[/tex]

[tex]P(E_2) = \frac{n(E_2)}{n(S)}[/tex]

[tex]P(E_2) = \frac{7}{36}[/tex]

Let [tex]E_3[/tex] represent the event that an outcome is an odd sum and a multiple of 5

[tex]E_3 = E_1 and E_2[/tex]

[tex]E_3 = (5,5,5,5)[/tex]

[tex]n(E_3) = 4[/tex]

[tex]P(E_3) = \frac{n(E_3)}{n(S)}[/tex]

[tex]P(E_3) = \frac{4}{36}[/tex]

Calculating [tex]P(E_1 or E_2)[/tex]

[tex]P(E_1 or E_2) = P(E_1) + P(E_2) - P(E_1 and E_2)[/tex]

[tex]P(E_1 or E_2) = P(E_1) + P(E_2) - P(E_3)[/tex]

[tex]P(E_1 or E_2) = \frac{18}{36} + \frac{7}{36} - \frac{4}{36}[/tex]

[tex]P(E_1 or E_2) = \frac{18 + 7 - 4}{36}[/tex]

[tex]P(E_1 or E_2) = \frac{21}{36}[/tex]

[tex]P(E_1 or E_2) = \frac{7}{12}[/tex]

Hence, the probability that the outcome of the roll is an odd sum or a sum that is a multiple of 5 is [tex]\frac{7}{12}[/tex]

Answer:

P=(E1 or E2) 7/12

Step-by-step explanation:

Answer:

313131 total books

Step By Step Explanation: We can use the equation 9.9%x=31000 and x represents the total number of books.

We could also convert this percent to a decimal by moving it two places to the left (0.99).

Nevertheless, we can divide both sides by 9.9% to find that the total number of books is 313131 books.

Answer: B or 52 degrees...

Step-by-step explanation:

Congruent means to have identical properties and because triangle PQR is congruent to triangle STU, their angles are also congruent.

In the theorem AAA, angle P is congruent to S, angle Q is congruent to T and angle R is congruent to U.

The sum of the angles in a triangle is 180 degrees and so you would do 180-86-42 which would get you to 52 degrees and that is the answer.

Answer: false

Step-by-step explanation:

The exponents would have to have a different sign from each other (positive or negative), not the integer.

Answer:

to calculate the number of protons and neutrons, you can look at the element on the periodic table. the number of protons is equal to the atomic number of the element (for example, hydrogen is the first element on the periodic table, so it has 1 proton).

The number of neutrons is the mass number (listed on the periodic table as well) - the number of protons, aka the atomic number.

for example, for the element krypton, we take the mass number, 83.80, and round it up to 84. Then we subtract it's atomic number, 36, from it, to get 48, which is the number of neutrons in the atom

Answer:

Step-by-step explanation:

The answer is C

Answer:trust me its c

Step-by-step explanation:

I took the test and aced it

Answer:

Given

Step-by-step explanation:

Question 1)

Answer is c) 12.94 units

Because,

The sides will be √20,√20 and 4 units, so you add them

You get √20 through Pythagorean theorem √(2^2 + 4^2)

= 4.47

Question 2)

Answer:

3x^2 + 4y^0 +x^-1

Substitute the values,

3*(4)^2 + 4*(5)^0 + (4)^-1

3*16 + 4*1 * 1/4

( Any number raised to 0 is 1

4^-1 = 1/4^1 )

= 49

Answer:

Option C

49

Step-by-step explanation:

sides of triangle:

P=4+4.47*2=12.94

Option C is correct

================

x=4, y=5

3x²+4y⁰×x⁻¹=3×4²+4×5⁰×4⁻¹=48+1=49

Answer:

12.57cm

Step-by-step explanation:

circumference =2^r

=2×22/7×2

=12.57cm

Answer:

4 am

Step-by-step explanation:

Answer:

4:00 AM

Step-by-step explanation:

15:00 + 13:00

28:00

24:00+4:00

00:00+4:00

4:00 AM

Answer: The answer is C 5/8 yards

Step-by-step explanation:

Answer:

The third one

Step-by-step explanation:

Answer:

Step-by-step explanation:

Volume of a sphere:

V = 4/3 x pi x r^3

5. 3053.63mm^3

18 / 2 = 9mm = radius

4/3 x pi x 9^3 = 3053.628

8. 11494.04mm^3

28 / 2 = 14mm

4/3 x pi x 14^3 = 11494.040

Answer:

B. Each part of the whole fraction bar is equal to one-seventh.

C. The shaded portion of the fraction bar represents a unit fraction.

E. Each part represents a unit fraction.

Step-by-step explanation:

The answer is B because, there are 7 parts to the diagram, which means each part is equal to 1/7. So each part is a unit fraction, and 1/7 can represent the shaded part, and since it is a unit fraction, C. can also apply.

Hope this helps! Have a great day!

(Make sure to stream Mic Drop, Boy With Luv,  Blood Sweat & Tears,  Black Swan, On, and etc.! [BTS songs])

Answer:

B

Step-by-step explanation:

Whole fraction is 7/7

Each part of the whole fraction = 1/7