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Answer: [tex]322\ lb[/tex]

Step-by-step explanation:

Given

The magnitude of the force [tex]F=350\ \text{Pounds}[/tex]

The force makes an angle of [tex]67^{\circ}[/tex] with the horizontal

So, the components of the force are

[tex]\Rightarrow F\cos 67^{\circ}, F\sin 67^{\circ}\\\Rightarrow F\cos 67^{\circ}=350\cos 67^{\circ}\\\quad \quad =136.75\ lb\\\text{Similarly, }\\\Rightarrow F\sin 67^{\circ}=350\sin 67^{\circ}\\=322.17\ lb[/tex]

The larger among the two is [tex]F\sin 67^{\circ}[/tex] i.e. [tex]322\ lb[/tex]

Answer:

17.46 ft

Step-by-step explanation:

The inclined plane is in the shape of a right triangle, therefore we can use the Pythagorean theorem to find the length of the inclined plane. The formula for this theorem is the following

[tex]a^{2} + b^{2} = c^{2}[/tex]

Where a and b are the two sides and c is the hypotenuse/inclined side. Therefore, we can simply plug in the lengths of the two sides into the formula and solve for c.

[tex]a^{2} + b^{2} = c^{2}[/tex]

[tex]7^{2} + 16^{2} = c^{2}[/tex]

[tex]49 + 256 = c^{2}[/tex]

[tex]305 = c^{2}[/tex]   ... square root both sides

17.46 = c

A prism has 6 sides.

2 sides are 7 x 5

2 are 3 x 5

2 are 3 x7

Surface area = 2(7x5) + 2(3x5) + 2(3x7)

Surface area = 70 + 30 +42

Surface area = 142 square cm

Answer:

A=2(wl+hl+hw)

A= 2 (3×7+7×5+5×3)

A=2×71

A=142

9514 1404 393

Answer:

  C.  y = 11.27(0.7^x)

Step-by-step explanation:

The table value (x, y) = (0, 11.27) tells you the multiplier of the exponential term will be 11.27. The decreasing values tell you the base of the exponential term is less than 1. Only answer choice C matches these requirements.

Answer:

The correlation is [{-3,6,9},{1,-2,-3}]

Step-by-step explanation:

The result is -1

Answer:

Four-thirds

Step-by-step explanation:

If you graph the first equation on desmos, then graph the equation x = -1, the intersection is at 1.333333, making the answer 4/3.

The Limit of f (x) as x approaches negative 1 is 4/3, the correct option is C.

A function is a law that relates a dependent and an independent variable.

f(x) = x² - (1/3)x    x ≠ -1

    = -1                  x = -1

[tex]\lim_{x \to \ -1} f(x)[/tex] = (-1)² - (1/3)(-1)

                      f(x) = 1 + (1/3)

                      f(x) = 4/3

To know more about Function

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Answer:

[tex]\implies f(x) = ( x + 2)^2[/tex]

Step-by-step explanation:

Given :-

And we need to rewrite the function by completing the square. The function is ,

[tex]\implies f(x) = x^2+8x + 4[/tex]

[tex]\implies ( a + b)^2= a^2+b^2+2ab [/tex]

Rewriting the function :-

[tex]\implies f(x) = x^2+8x + 4\\\\\implies f(x) = x^2 + 2.2.2x + 2^2[/tex]

[tex]\implies f(x) = ( x + 2)^2[/tex]

Hence the function in whole square form is (x + 2)² .

Answer:

2.7>217/100

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

The baseball teams total is 24, divided by the number of answers, 25, is 1.6.

The French Club’s total is 33, divided by the number of answers, 15, is 2.2.

2.2-1.6 is 0.6.

Explanation:

The period of a function measures how long a cycle takes. Think of tides on a beach. There's a regular pattern that can be predicted whether its high tide or low tide. Time is often the critical component with the period. Since choice D mentions time and the key term "repeat", this is why it's the answer.

The other values, while useful elsewhere, aren't going to tell us anything about the period. The initial value being 5 doesn't tell us when y = 5 shows up again, and if the function is repeating itself at this point or not. So info about choice A is not sufficient to determine the period. The same goes for choices B and C as well.

Answer:

Since the calculated F=  2.8657 does not lie in the critical region  F (2,2)≥ 19 we conclude that there no difference between the means.

Since the calculated F=  205.0819  lies in the critical region F(1,2) ≥ 18.51  we conclude that there is a difference between the standard deviations of the three groups.

The F- statistic for the observed data is 0.101  as calculated by F- test in excel.

Step-by-step explanation:

To conduct an ANOVA randomization test we perform anova without replication in excel.

The data for the test is

                            Mean    Standard Deviation Sample Size

Never

Played Football 7602.5          1074                   25

FB with no History   6459.2         779.9                  25

FB with Concussion 5734.6       593.4                   25

Total                 6598.8      1133.5                  75

Anova: Two-Factor Without Replication    

SUMMARY Count Sum Average Variance

Row 1 2 8676.5 4338.25 21310656.13

Row 2 2 7239.1 3619.55 16127224.25

Row 3 2 6328 3164 13215968.72

Column 1 3 19796.3 6598.766667 886871.7433

Column 2 3 2447.3 815.7666667 58708.90333

ANOVA Table  

Source           Sum of     Degrees     Mean

of Variation      Square    of freedom  Squares

                            SS     df          MS              F P-value

B/w Rows 1401945.703 2 700972.8517 2.8657 0.259

B/w Col      50164633.5 1 50164633.5 205.0819  0.00484

Error     489215.59         2 244607.795                          

Total 52055794.79 5    

Set up the null and alternate hypotheses :

H0 ; there's no difference between the means and

there's no difference between the standard deviations

against the claim

Ha: there's a difference between the means and

there's  a difference between the standard deviations

The significance level is chosen at 0.05

The test statistics to use are

F1= estimated variance from Between Means/  estimated variance from Error SS

F1= s1²/s3²

F1= estimated variance from Between Standard Deviations /  estimated variance from Error SS

F2- s2²/s3²

with υ1= (2,2)  and υ2(1,2) degrees of freedom.

The critical regions for F (2,2)≥ 19 for 0.05 significance level

and F(1,2) ≥ 18.51  for 0.05 significance level

Since the calculated F=  2.8657 does not lie in the critical region  F (2,2)≥ 19 we conclude that there no difference between the means.

Since the calculated F=  205.0819  lies in the critical region F(1,2) ≥ 18.51  we conclude that there is a difference between the standard deviations of the three groups.

The F- statistic for the observed data is 0.101  as calculated by F- test in excel.

Answer:

9 meters

Step-by-step explanation:

To find the area of a rectangle you do length times width. To find a side length, or the width divide the area by the length. 99/11=9.

The width is 9 meters.

Answer:

For a general function f(x), the domain is the set of the possible values of x that we can input in the function.

The trick to find the domain is first to assume that the domain is the set of all real numbers, and then let's try to find the values of x that cause a problem in the function. (If the graph is cut in some value of x, such that it ends with an open or a closed point, then these values define the domain).

Such that one of these problems can be like x = 1 in the function:

g(x) = 1/(x - 1)

Because that value causes the denominator to be equal to zero, then the domain of that function will be the set of all real numbers except the value x = 1.

In this case, we have:

f(x) = x^2 - 4

There is no value of x that causes a problem for this function, then the domain is the sett of all real numbers.

Correct option D.

Answer:

From Pythagoras Rule

c=√1²+2²

c=√5 cm

c= 2.2cm

To the Nearest tenth..

9514 1404 393

Answer:

Step-by-step explanation:

The acute angles in a right triangle are complementary, so ...

  C = 90° -50°

  C = 40°

__

SOH CAH TOA reminds you of the relations ...

  Cos = Adjacent/Hypotensue

  Sin = Opposite/Hypotenuse

Then ...

  cos(50°) = c/9

  c = 9·cos(50°) ≈ 5.79

  sin(50°) = a/9

  a = 9·sin(50°) ≈ 6.89

Answer:

x = 5 and x = -3

Step-by-step explanation:

15 - 4x = x² - 6x

15 = x² - 2x

0 = x² - 2x - 15

Now if solved using quadratic formula the answer would be:

x = 5 and x = -3

Hope this helps!

Answer:

6

Step-by-step explanation:

you're overthinking the problem, all you have to do is multiply 8 and (3/4) to get 6, super easy

Answer:

0.0623 ± ( 2.056 )( 0.0224 ) can be used to compute a 95% confidence interval for the slope of the population regression line of y on x

Step-by-step explanation:

Given the data in the question;

sample size n = 28

slope of the least squares regression line of y on x or sample estimate = 0.0623

standard error = 0.0224

95% confidence interval

level of significance ∝ = 1 - 95% = 1 - 0.95 = 0.05

degree of freedom df = n - 2 = 28 - 2 = 26

∴ the equation will be;

⇒ sample estimate ± ( t-test) ( standard error )

⇒ sample estimate ± ( [tex]t_{\alpha /2, df[/tex]) ( standard error )

⇒ sample estimate ± ( [tex]t_{0.05 /2, 26[/tex]) ( standard error )

⇒ sample estimate ± ( [tex]t_{0.025, 26[/tex]) ( standard error )

{ from t table; ( [tex]t_{0.025, 26[/tex]) = 2.055529 = 2.056

so we substitute

⇒ 0.0623 ± ( 2.056 )( 0.0224 )

Therefore, 0.0623 ± ( 2.056 )( 0.0224 ) can be used to compute a 95% confidence interval for the slope of the population regression line of y on x

Answer:

tbh i may be too late but the answer is 6

Step-by-step explanation:

the ratio 5:7 in the question is basically saying for every 5 boys are 7 girls

if you multiply the number of boys by 5 ( which would equal 15) you would have 21 girls, 15 + 21 equals 36.  21- 15= 6 giving us the anser

Answer:  No puedo responder a esto sin que me muestres el problema.

Answer:

3

Step-by-step explanation:

Exponential equation:

An exponential equation has the following format:

[tex]y = a(b)^x[/tex]

In which a is the value of y when x = 0.

In this question:

When [tex]x = 0, y = 3[/tex]. Thus, we have that a = 3.

Answer:

x = 10

Step-by-step explanation:

Answer:

6(3x - 4)

Step-by-step explanation:

From the question, we can deduce the following points;

- 6 is multiplied by 3x minus 4

Translating the word problem into an algebraic expression, we have;

6 * (3x - 4)

Answer:

A

Step-by-step explanation:

[tex]\huge\text{Hey there!}[/tex]

[tex]\large\text{7.06}\times\large\text{1,000 - 1,976}\div\large\text{100}\\\large\text{7.06}\times\large\text{1,000 = \boxed{\bf 7,060}}\\\large\text{7,060 - 1,976}\div\large\text{100}\\\large\text{1,976}\div\large\text{100 = 494}\div\large\text{25 = \boxed{\bf 19.76}}\\\large\text{7,060 - 19.76}\\\mathsf{= \boxed{\bf \ Answer: \dfrac{17,6006}{25}\ or\ 7,040.24}}\leftarrow\large\text{either of those choices should}\\\large\text{work because they are both equivalent to each other }[/tex]

[tex]\large\text{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Answer:

Your answer would be 4^-3.

Step-by-step explanation:

So, a negative exponent by definition, is writing out 1/x^y. Where x is the number and y is the negative exponent.

In this case, 4 would be the number and -3 would be the negative exponent.

So we're going from 1/x^y to x^-y in order to solve this. Therefore, this is something where the numbers can just be plugged in.

1/x^y ---> x^-y

1/4^3 ---> 4^-3

Your answer would be 4^-3.