I need help with #3 and #1

Answer:

3 examples of mechanical digestion:

Mastication

Swallowing

Peristalsis

Answer:

530

Step-by-step explanation:

870-340 = 530

___________

Answer:

0.0208

Step-by-step explanation:

Using the formula for calculating margin of error is expressed as;

M = z * √p(1-p)/n

z is the z score at 90 % interval

p is the proportion

n is the sample size

p = 0.2

n = 1000

z = 1.645

M = 1.645 * √0.2(1-0.2)/1000

M = 1.645 * √0.2(0.8)/1000

M = 1.645 *  0.01264

M = 0.0208

Hence the margin of error is 0.0208

Answer:

Step-by-step explanation:

You want the angles associated with different arc lengths and radii.

The length of an arc is given by the formula ...

  s = rθ . . . . . θ is the angle in radians, r is the radius

Solving for θ gives ...

  θ = s/r

For s=17 in, r=4 in, ...

  θ = (17 in)/(4 in) = 4.25 . . . . radians

For s=12 ft, r=5 ft, ...

  θ = (12 ft)/(5 ft) = 2.4 . . . . radians

For s=8.5 mm, r = 13.6 mm, ...

  θ = (8.5 mm)/(13.6 mm) = 0.625 . . . . radians

Answer:

every second number is got by multiplying it by two times of the number & adding it to previous number. For eg: the difference between 1 & 3 is 2. So the next number 7 is got by multiplying the diff with 2 & adding it to previous number, which is 3+2*2=7

Step-by-step explanation:

HOPE THIS HELPS!! PLEASE BRAINIESTTT

Answer:

All the numbers in the sequence was ×2 +1

multiplied by 2 and 1 was added.

Hope that helps

Answer: B.

Step-by-step explanation:

Answer:

14 inches for every side

Step-by-step explanation:

44/4 = 22

circumfrence of half circle is 3.14r = 22

22/3.14 is about 7

the radius is half the side length so multiply 7 by 2 to get 14

mark brainliest please

Answer:

the answer is 0

Step-by-step explanation:

edge 2022

9514 1404 393

Answer:

  4%

Step-by-step explanation:

The amount of simple interest is given by ...

  I = Prt . . . . . amount P invested at annual rate r for t years

This can be solved for r:

  r = I/(Pt)

Using the given values, we find the rate to be ...

  r = 16/(200·2) = 16/400 = 4/100 = 4%

The annual interest rate is 4%.

Answer:12

Step-by-step explanation: i found the answer on another brainly account

ps: i hope you pass

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2xy² - 6 is a binomial because it consist of two terms .

∴ option a. Binomial is correct!

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Option a

Step-by-step explanation:

[tex]\sf Note\:down\begin{cases}\sf Binominal\leadsto 2terms \\ \sf Trinomial\leadsto 3terms \\ \sf Monomial\leadsto 1term \\ \sf Multinomial \leadsto 4\:or\: 4^+terms\end{cases}[/tex]

sinx-✓(1-3sin2x)=0

-✓(1-3sin2x)=-sinx

apply squared both sides

(-✓(1-3sin2x)^2=(-sinx)^2

1-3sin2x=sin2x

collect like terms

-3sin2x-sin2x+1=0

-4sin2x+1=0

-4sin2x=-1

devide both sides by -4

sin2x=-1/-4

sin2x=0.25

sinx*sinx =0.25

[sinx]^2 = 0.25

apply square root both sides

180-x= Theta(X)

180-30=X

X=150°

therefore, all angles for sinx -✓(1-3sin2x)=0 are (X= 30° and 150°)

Answer:

4.48

Step-by-step explanation:

Herschel took 27.52 minutes in riding cycle in new route.

Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".

Given that, a new route for bicycling to work decreased Herschel's riding time by 14%.

The old route took 32 minutes

Time taken by new route = 32-14% of 32

= 32-14/100 ×32

= 32-0.14×32

= 32-4.48

= 27.52 minutes

Therefore, it takes 27.52 minutes in the new route.

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Answer: ok so 3 times 3 twice then divide them by 2 and then 12 times 3 twice and then 3 times 6 im pretty sure and then you add them together

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

We know that the value of x is 120, so we can substitute it into the equation they gave you.

T(x) = 0.06x + 4.5

T(x) = 0.06(120) + 4.5

Now just solve.

0.06 × 120 = 7.2

7.2 + 4.5 = 11.7

So the tax on the room is $11.70

Answer:

x = 20

Step-by-step explanation:

The small square at the vertex indicates a 90º angle

Therefor

x + (3x + 10) = 90

Combine like terms

4x + 10 = 90

Subtract 10 from both sides

4x = 80

Divide both sides by 4

x = 20

Answer:

The entire clock measures 360 degrees. As the clock is divided into 12 sections. The distance between each number is equivalent to 30 degrees (360/12)

I hope this helps you!

Using the provided quadratic expression and factorizing it, The answer is  x = ± √6.4 or x = ± 2.51 and  x = 1 or x = -2.5 .

An equation is a statement of equality between two expressions. It typically includes numbers and mathematical operations such as addition, subtraction, multiplication, and division. For example, the equation 2x + 3 = 7 is a statement that the value of the expression 2x + 3 is equal to the value of 7. Equations can also include variables, which represent unknown values that can be solved for.

Roots of an equation are the values of the variable that make the equation true. For example, the roots of the equation x^2 + 2x - 3 = 0 are -1 and 3, because (-1)^2 + 2(-1) - 3 = 0 and 3^2 + 2(3) - 3 = 0. In general, finding the roots of an equation can be a difficult task and may require the use of mathematical techniques such as factoring, graphing, or numerical methods. Roots are also known as solutions or zeroes of an equation. They can be found by setting the equation equal to zero and solving for the variable.

(4+5x²-36) = 0 or (2x²+9x-5) = 0

Solving the first factor:

4+5x²-36 = 0

5x²-32 = 0

5x² = 32

x² = 6.4

x = ± √6.4

x = ± 2.51 or -2.51

Solving the second factor:

2x²+9x-5 = 0

x²+4.5x-2.5 = 0

(x-1)(x+2.5) = 0

x = 1 or x = -2.5

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Answer:

surface area of a right prism is T.S.A.=ph+2B

Step-by-step explanation:

hope that helps :)

Answer:

bc

Step-by-step explanation:

Answer bc

Step-by-step explanation:

took test

Answer:

Step-by-step explanation:

6²+8²=36+64=100=10²

so it is a right angled triangular prism.

surface area=2×(1/2 ×8×6)+(6+8+10)×7

=48+980

=1028 sq. m.

Answer:

225.32

Step-by-step explanation:

Hope this helped :)

Answer:

Test statistic = 3.21;

Pvalue = 0.0019;

Reject H0 and conclude that the mean conversion rate is greater than 30.

Step-by-step explanation:

Hypothesis :

NULL ; H0 : μ = 30

ALTERNATIVE ; H0 : μ > 30

Sample, x : 52.3 41.1 28.8 67.8 78.6 72.3 9 19.0 30.3 41.0 63.0 80.8 26.8 37.3 38.1 33.6 14.3 30.1 33.4 36.2 34.6 40.0 81.2 59.4

Sample Mean, xbar = 43.71 (using calculator)

Sample standard deviation, s = 20.95 ( calculator)

Sample size, n = 24

Take, α = 0.05

Test statistic :

(xbar - μ) ÷ (s/√n)

(43.71 - 30) ÷ (20.95/√24)

13.71 / 4.2764008

Test statistic = 3.21

Degree of freedom, df = n - 1 = 24 - 1 = 23

The Pvalue, using a Pvalue calculator : (3.21, 23)

Pvalue = 0.001942

Pvalue = 0.0019 ( 4 decimal places).

Decison :

Reject H0 ; if Pvalue ≤ α

Since Pvalue is very low and lesser than α ` We reject H0 and conclude that the mean conversion rate is greater than 30.

Answer:

[tex]x > -3.5[/tex]

Step-by-step explanation:

Given

[tex]-6x < 21[/tex]

Required

Plot a number line

First, solve for x

[tex]-6x < 21[/tex]

Divide by -6

[tex]\frac{-6x}{-6} > \frac{21}{-6}[/tex]

[tex]x > -3.5[/tex]

See attachment for number line

Answer:

I believe it is C.

The polynomial that represents the value of Terryl’s investment after the first year if he invested x dollars in the fund with the lesser growth rate is;

p(x) = x(1 + 6/100)

g(x) = (1500 - x)(1 + 3.8/100)

The compound interest is defined as a form of interest whereby the rate of interest is applied on the amount obtained after every given interval of time.

We are given that;

The total amount invested in the two mutual funds = $1500.

The growth rate of the first mutual fund = 6%.

The growth rate of the second mutual fund = 3.8%.

If the amount invested in the first mutual fund is x, then the amount invested in second mutual fund is 1500 - x.

The growth for both mutual funds can then be represented by;

First mutual fund; p(x) = x(1 + 6/100)

The second mutual fund; g(x) = (1500 - x)(1 + 3.8/100)

Thus, the polynomial expression for both the mutual funds are;

p(x) = x(1 + 6/100) and g(x) = (1500 - x)(1 + 3.8/100) respectively.

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First, we assume that this conclusion is false. In other words, we assume that the contrary statement "none of the two angles has measure [tex]90^{\circ}[/tex] or greater" is true.

The assumption is equivalent to the following two statements:

(1) [tex]m\angle A\text{ } \boxed{ < 90^{\circ}}[/tex]

(2) [tex]m\angle B\text{ } \boxed{ < 90^{\circ}}[/tex]

Using (1) and (2) and the addition properties of inequalities, we conclude that [tex]m\angle A+m\angle B \text{ } \boxed{ < } \text{ } 180^{\circ}[/tex].

On the other hand, two adjacent angles form a linear pair. Thus, the last statement contradicts the Linear Pair Property, which states that for a linear pair of angles [tex]\angle A[/tex] and [tex]\angle B[/tex], [tex]m\angle A+m\angle B \text{ } \boxed{=} \text{ } 180^{\circ}[/tex].

Therefore, the assumption made is false, and the statement "at least one of the angles [tex]\angle A[/tex] and [tex]\angle B[/tex] has measure [tex]90^{\circ}[/tex] or greater" is true.

Answer:

850

Step-by-step explanation:

Answer:

850

Step-by-step explanation:

34*100=3400

3400/4=850

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Answer:

8.04% to 15.96%

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the z-score that has a p-value of [tex]1 - \frac{\alpha}{2}[/tex].

Suppose that you take a random sample of 259 people leaving a grocery store over the course of a day and find that 12% of these people were overcharged.

This means that [tex]n = 259, \pi = 0.12[/tex]

95% confidence level

So [tex]\alpha = 0.05[/tex], z is the value of Z that has a p-value of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].

The lower limit of this interval is:

[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.12 - 1.96\sqrt{\frac{0.12*0.88}{259}} = 0.0804[/tex]

The upper limit of this interval is:

[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.12 + 1.96\sqrt{\frac{0.12*0.88}{259}} = 0.1596[/tex]

So 8.04% to 15.96%

Answer:

D.

Step-by-step explanation:

-2 is divided on both sides of the equation, which is the multiplication property of equality. you aren't adding anything/ multiplying anything by 0