what is the answer?
8 x 1/2 = ______

9514 1404 393

Answer:

  f(1) = 173 = the amount remaining after 1 year

Step-by-step explanation:

The function definition tells you f(x) is the amount of the isotope remaining after x years. Then ...

  f(1) = 173 = the amount remaining after 1 year

__

(no units are given, so we don't know if that is 173 nanograms, or 173 truck loads)

Answer:

what are the equations?

Step-by-step explanation:

Answer:

The second summation, counting from the top.

Step-by-step explanation:

Remember the relation:

[tex]a^{-n} = \frac{1}{a^n}[/tex]

The first summation is:

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

4*( 1 - 1/2 + 1/4 - 1/8) = 2.5

Now let's analyze the options.

Let's look at option A, here we only have 2 to different powers, so we never can have a summation equal to 2.5, then we can discard that option.

Let's look at the next one (B), it will be equal to:

= (1/4)*( (-2)^4 + (-2)^3 + (-2)^2 + (-2)^1) =

= (1/4)*( 16 - 8 + 4 - 2) = 2.5

Then this summation is the one equivalent to the first one.

Answer:

B

Step-by-step explanation:

edg 2021

Answer:

88.4ft²

Step-by-step explanation:

oh lordy, why, why, nobody's garden is actually like this, and even if it was, you don't need to know the area, hold onto your hats:

So, we're going to assume that we can split the 10.4 evenly into the triangles and the trapezoid, so let's start with that:

10.4 ÷ 2 = 5.2 (if this is what get the whole thing wrong, I'm so sorry)

So, now we're going to do the triangle to the left of the trapezoid (remember that the formula for a triangle is base x height ÷ 2):

6 x 5.2 ÷ 2 = 15.6

So the area is 15.6ft

Now let's do the triangles under the trapezoid:

So the entire length of the under thing is 18 feet, and we take off 6 from the previous triangle, so:

18 - 6 = 12

and we're going to assume that both the triangles are equal:

12 ÷ 2 = 6

6 x 5.2 = 15.6 (at this point I realize that all the triangles are equal, welp, we just did that for nothing, anyways) now we need two of them

15.6 x 2 = 31.2

So the area of the triangles under the trapezoid is 31.2ft

Now, the trapezoid:

so we know that the top base is 4 feet, and we know that the bottom one is 12 from the triangles above us, (the formula for a trapezoid is (base + base)height ÷ 2) so:

4 + 12 = 16

16 x 5.2 = 83.2

83.2 ÷ 2 = 41.6

So the trapezoid is 41.6ft

Now we add all of our disgustingness together:

15.6 + 31.2 + 41.6 = 88.4

So, the area of the entire garden is 88.4ft²

hope this helps:)

Answer:

b= = - 7/4 or -1.75

Step-by-step explanation:

14b +21 -2b=0

12b +21=0

12b= -21

b= -21/12

b= - 7/4 or -1.75

Answer:

i dont know what you neccesarily want but here are two answers b=-7/4 or -1 3/4 other answer is 12b+21

Step-by-step explanation:

first, you have to set this question equal to 0.

7(2b+3)-2b=0

now you have to distribute the 7 to everything inside the parentheses.

14b+21-2b=0

combine like terms

12b+21=0

you can stop here and take this answer if this is the one you want

now subtract each side by 21

12b=-21

divide each side by 12

b=-21/12

simplify

b=-7/4

hope this helps! have a nice day :)

Answer:

The calculated value t = 0.510 < 2.7874 at 0.01 level of significance

The null hypothesis is accepted at 0.01 level of significance

The engineer designed the valve such that it would produce a mean pressure of 6.5 pounds/square inch

Step-by-step explanation:

Step:-1

Given that mean of the population (μ) = 6.5 pounds/ square inch

Given that the sample size 'n' = 26

Given that mean of the sample ( x⁻) = 6.6  pounds/ square inch

Given that the standard deviation of the sample (σ) = 1.0

t₀.₀₁ = 2.7874

Step:-2

Null hypothesis:H₀:  μ = 6.5

Alternative Hypothesis:H₁: μ ≠6.5

Test statistic

         [tex]t = \frac{x^{-}-mean }{\frac{S}{\sqrt{n} } }[/tex]

        [tex]t = \frac{6.6-6.5}{\frac{1.0}{\sqrt{26} } }[/tex]

       t =  0.510

 The calculated value t = 0.510 < 2.7874 at 0.01 level of significance

Final answer:-

The calculated value t = 0.510 < 2.7874 at 0.01 level of significance

The null hypothesis is accepted at 0.01 level of significance

The engineer designed the valve such that it would produce a mean pressure of 6.5 pounds/square inch

Answer:

Step-by-step explanation:

a, b, c

a + b > c ; b + c > a ; a + c > b

5 + 4 < 10 ⇒ triangle not possible

Answer:

Triangle not possible.

Step-by-step explanation:

The Triangle Inequality Theorem states that the sum of two sides must be larger than the third side.

5 + 4 = 9

9 cm is not longer than 10 cm.

10 > 9

Therefore, the triangle is not possible..

The cross-section cut by the plane yields a quadrilateral with length and width equal to the length and width of the face that is parallel to the plane.

Answer:

192

Step-by-step explanation:

If there are 8 players on a team, and a total of 24 teams, you will need to multiply 8 x 24 to find the answer.

8 x 24 = 192 players can sign up for the league.

(hope this helps can i plz have brainlist :D hehe)

Answer:

192 players

Step-by-step explanation:

8x24=192

8 is the 8 players per team, since there are 24 teams available, multiply 8 by 24.

Answer:

3 p.m

Step-Hope this helps!!

Answer:

pretty sure 3pm

Step-by-step explanation:

You just subtract 9-6

So its 3pm :)

Step-by-step explanation:

OPTION A

(-40) + (-30) + 28

Answer:

d.

Step-by-step explanation:

Let's examine each statement:

Option A: m<CUD = m<VUM (CORRECT)

Rationale: vertical angles are congruent to each other.

Option B: m<AUV + m<DUA = 180 (CORRECT)

Rationale: angles on a straight line

Option C: m<MUC - m<MUD = m<CUD (CORRECT)

Rationale:

m<MUC = m<MUD + m<CUD

Subtract m<MUD from each side

m<MUC - m<MUD = m<CUD

Option D is FALSE

Rationale:

m<PUD + m <VUP = 180° (angles on a straight line)

m<PUM + m<CUA ≠ 180°

Therefore,

m<PUD + m<VUP = m<PUM + m<CUA IS FALSE.

Answer:

B x=2 y=6

Step-by-step explanation:

For ABCD to be parallelogram, following conditions should be satisfied:

2x - 0 = x + 2 & 4y - 8 = y + 10

2x - 0 = x + 2

2x - x = 2

x = 2

4y - 8 = y + 10

4y - y = 10 + 8

3y = 18

y = 18/3

y = 6

Answer:

Step-by-step explanation:

what are we looking for?/

50 millimeters

keystrokes

Answer:

vanilla,cone

Step-by-step explanation:

Answer:

1/4

Step-by-step explanation:

Answer:

12 + 25 = 37

Step-by-step explanation:

If we have the value for each of the variables, we can plug them in, and be done with it.

when we plug them in, we get

6(2) + 5(5)

12 + 25

37

Answer:

sin x = 0.4706

Step-by-step explanation:

Given that,

Height, h = 8

Base, b = 15

Let H be the hypotenuse of the triangle. Using Pythagoras theorem,

[tex]H=\sqrt{8^2+15^2} \\\\H=17[/tex]

We know that,

[tex]\sin\theta=\dfrac{h}{H}[/tex]

So,

[tex]\sinx=\dfrac{8}{17}\\\\\sin x=0.4706[/tex]

So, the correct option is (b).

Answer: Essence has run 9 miles and she runs 1.25 additional miles each day. Asia has run 14 miles and she runs 0.75 additional miles each day. After how many days will Essence have run more total miles than Asia

Step-by-step explanation:

Answer:

97.27 yd²

Step-by-step explanation:

First let's find the area of the right triangle on the left side. To do that, multiply 6x5, then divide the product by 2, since a right triangle is half a rectangle.

6x5=30

30/2=15

Area of triangle=15 yd²

Find area of the middle rectangle. So multiply the length by the width.

9x6=54

Area of rectangle=54 yd²

Find area of the half circle. Formula for area of circle is [tex]A=\pi r^{2}[/tex]. Pi is about 3.14, and radius ([tex]r[/tex]) is 3. Radius is half of the diameter of circle, and the 6 on the left says the diameter of circle.

[tex]\pi[/tex]x[tex]3^{2}[/tex]≈28.27

Area of circle is about 28.27 yd²

Add up the three areas.

15+54+28.27=97.27

Answer:

amount of food feed each day is 0.12 kg

amount of food required to feed in March( 31 days) is 0.12*31

the answer is 3.72kg

9514 1404 393

Answer:

  multiply by (d/cos(36°))

Step-by-step explanation:

As with any division problem, the equation remains true if you swap the divisor and the quotient (short answer).

  cos(36°) = 16/d

  d = 16/cos(36°) = 16/0.8090169943749475 ≈ 19.77708763999635

  d ≈ 19.78

__

Here is the longer answer, with respects to the properties of equality. The multiplication and division properties of equality tell you equality only holds if the same operation is performed to both sides of the equal sign. So, when we say "multiply by __", we mean that operation to be performed on boths sides of the equation.

  [tex]\cos{(36^{\circ})}=\dfrac{16}{d}\qquad\text{given}\\\\d\cdot\cos{(36^\circ)}=\dfrac{d\cdot 16}{d}=16\qquad\text{multiply by $d$}\\\\\dfrac{d\cdot\cos{(36^\circ)}}{\cos{(36^\circ)}}=\dfrac{16}{\cos{(36^\circ)}}\qquad\text{divide by $\cos{(36^\circ)}$}\\\\d=\dfrac{16}{\cos{(36^\circ)}}\qquad\text{simplify}[/tex]

__

The two operations, multiply by d and divide by cos(36°) can be combined into one: multiply by d/cos(36°). Once you realize this has the effect of the quotient (cos(36°)) and the divisor (d) trading places, you realize you don't need to take 3 steps to do what you can do in 1 step.

_____

Comment on numerical precision

We have kept the 16-digit precision of the numbers shown in the question, "just because." The final answer has 4 significant digits, so there is no real need to keep more than about 6 significant digits.

Answer:

yo

Step-by-step explanation:

jy

Answer:

[tex]x = \frac{1}{2} [/tex]

[tex]y = 3[/tex]

Step-by-step explanation:

Multiply the bottom equation by -2.

[tex] - 2( - 2x - y = - 2) = - 4x + 2y = 4[/tex]

Add the new equation to top equation.

[tex]5y = 15[/tex]

[tex]y = 3[/tex]

Know plug 3 in one of the equations to find x.

[tex]4x + 3(3) = 11[/tex]

[tex]4x = 2[/tex]

[tex]x = \frac{1}{2} [/tex]

Answer:

( [tex]\frac{1}{2}[/tex], 3 )

Step-by-step explanation:

Given the 2 equations

4x + 3y = 11 → (1)

2x - y = - 2 → (2)

Multiplying (2) by 3 and adding to (1) will eliminate the y- term

6x - 3y = - 6 → (3)

Add (1) and (3) term by term to eliminate y

10x + 0 = 5

10x = 5 ( divide both sides by 10 )

x = [tex]\frac{1}{2}[/tex]

Substitute x = [tex]\frac{1}{2}[/tex] into either of the 2 equations and solve for y

Substituting into (1)

4 ([tex]\frac{1}{2}[/tex] ) + 3y = 11

2 + 3y = 11 ( subtract 2 from both sides )

3y = 9 ( divide both sides by 3 )

y = 3

solution is ( [tex]\frac{1}{2}[/tex], 3 )

Answer:

- 3.2

Step-by-step explanation:

- 5x + 4 = 20

- 5x = 20 - 4

- 5x = 16

x = 16 / - 5

x = - 3.2

Answer: 5

Step-by-step explanation: