A golfer hits from a tee for a 300-yard hole. Her drive carries 275 yards but it’s 13 degrees off the line from the hole. How much farther must the golfer now hit the ball to reach the hole?

Answer:

Three digit number to be divisible by 5 , the last digit should be 5 or 0

_ _ _5

Two remaining places can be filled in 4×3=12

_ _ _0

Two remaining places can be filled in 3×3=9 (0 cannot be filled in the first place, it will become 2 digit number).

Total =12+9=21

Answer:

50²

Step-by-step explanation:

(2×10⁵) ÷ (4×10²)

2 × 100000 ÷ 4 × 100

200000 ÷ 400

= 500

= 50²

The Critical z-values are -1.96 and 1.96 option second is correct.

It is given that the teachers were allowed to choose supplementary curriculum for their classes versus teachers who were assigned all curricular resources for use in their classes.

It is required to find the critical z-values.

It is defined as the area region enclosed by the standard normal curve or bell curve. It gives an idea about every variable, and what value of probability the variables acquire.

We are assuming the data given below:

x = 3.5

[tex]\mu =3.3[/tex]

[tex]\sigma = 0.6[/tex]

n = 40

We know the formula for the Z score:

[tex]\rm Z = \frac{x-\mu}{\frac{\sigma}{\sqrt{n} } }[/tex]

[tex]\rm Z = \frac{3.5-3.3}{\frac{0.6}{\sqrt{40} } }[/tex]

Z = 2.10

The area under the normal distribution curve:

P(Z= 2.10)  = 0.9821   ( from the z table)

We have null hypothesis H0: in the two groups, the level of job satisfaction is the same ie. with no difference.

H1: There is a significant difference in levels of job satisfaction.

The above hypothesis defined that the test is two-tailed which means there will be two rejection regions.

The critical z-values are:

-1.96 and 1.96  (from the critical value calculator at a 5% significance level with two-tailed)

Thus, the Critical z-values are -1.96 and 1.96 option second is correct.

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Answer:

a = 9    b = 9    c = 18

Step-by-step explanation:

a+b = c

a+ b + c = 36        but we know   a+b = c   sub that in

  c    + c = 36

       c = 18             now  a + b = c    and a and b are the same

                                   so  a and b are = 9

Answer:

a is 9

b is 9

c is 18

Step-by-step explanation:

Let's list the information provided

a + b =c

a + b + c = 36

a=b

Knowing that a=b we can replace b with a in the equations

a+a is the same as 2a since a is being doubled

2a=c

Knowing this we can replace c with 2a

2a+2a=36

Now solve for a

[tex]2a+2a=36\\4a=36\\\frac{4a}{4} =\frac{36}{4} \\a=9[/tex]

Now let's sub this value of a into the equations to see what the other values are

a=b

9=b

2a=c

2(9)=c

18=c

Answer:

for the first student in the line there are 10 choices,then for the 9 choices left,for the third 8 choices left and so on...

so its 10x9x8x7x6x5x4x3x2x1=3628800

Step-by-step explanation:

sana makatulong

Answer:

f(9.5) = 558.02.

Step-by-step explanation:

Because it is an exponential function, it can be written: y = (a)(b)^x

Now substitute in the two known points:

72 = (a)(b)^7.5 and

2 = (a)(b)^4 : => since 2 = (a)(b)^2 divide the left side by 2 and the right by (a)(b)^2

72/2 =[(a)(b)^7.5]/[(a)(b)^4]: => the (a) cancels out and b becomes b^(7.5–4)

36 = b^3.5: => To isolate b take the 3.5 root of both sides

{3.5 root}(36) = {3.5 root}(b^3.5)

2.783927 = b

Now to solve for a

2 = (a)(b)^4 => 2 = (a)(2.783927)^4 => 2 = (a)(60.066375) divide both sides by 60.066375 0.0332965 = a

Equation: y = (0.0332965)(2.783927)^x

Now plug in 9.5 for x

(0.0332965)(2.783927)^9.5 = 558.0178525 = 558.02

The Volume of solid A that is similar to solid B is: 960 × 1.25 = 1,200 m³.

If two solids, A and B, are given and have corresponding dimensions as a and b respectively, we would have the following:

Surface area of solid A/Surface area of solid B = a²/b²

Volume of solid A/Volume of solid B = a³/b³

Given that solid A and solid B are similar, and:

Find their corresponding dimensions, a and b:

Surface area of solid A/Surface area of solid B = a²/b²

Substitute

675/432 = a²/b²

√(675/432) = a/b

1.25 = a/b

Scale factor of Solid A to Solid B is 1.25.

Multiply 1.25 by 960 to get the volume of solid A.

Volume of solid A = 960 × 1.25 = 1,200 m³.

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Answer:

40 percent

Step-by-step explanation:

100 / 5 = 20

⅕ = 20 percent

⅗ = 60 percent

100 - 60 = 40

The division is one of the four fundamental arithmetic operations. The amount that is needed to be paid by each friend is $74.75.

Division is one of the four fundamental arithmetic operations, which tells us how the numbers are combined to form a new one.

As it is given that the total cost of the computer is $299, it is needed to be split between four friends. Therefore, the price will be paid by the four friends equally which can be written as,

[tex]\text{Amount paid by each friend}=\dfrac{\text{Total cost of computer}}{\text{Number of friends}}\\\\\\\text{Amount paid by each friend}=\dfrac{\$299}{4} = \$74.75[/tex]

Thus, the amount that is needed to be paid by each friend is $74.75.

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48 /   -8 = -6

-40 /  8 = -5

12  -  (-2) = 14

18 -  (-12) = 6

18 -  (-20) = -2

22  x  (-0.5) = 11

Answer:

2 that's what soup calculated says

as far as I can read that, well, the company has a revenue income of 8250000 and their expenditure on purchases is 49% of that amount, how much is that?

[tex]\begin{array}{|c|ll} \cline{1-1} \textit{a\% of b}\\ \cline{1-1} \\ \left( \cfrac{a}{100} \right)\cdot b \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{49\% of 8250000}}{\left( \cfrac{49}{100} \right)8250000}\implies 4042500[/tex]

so on saving 2.05% of purchasing expenses or namely 2.05% of 4042500

[tex]\begin{array}{|c|ll} \cline{1-1} \textit{a\% of b}\\ \cline{1-1} \\ \left( \cfrac{a}{100} \right)\cdot b \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{2.05\% of 4042500}}{\left( \cfrac{2.05}{100} \right)4042500}\implies 82871.25[/tex]

so sales must be increased by that much in order to match the 2.05% of 4042500.

Answer:

- 17° C

Step-by-step explanation:

the temperature falls at 3° per hour

midnight → 5.00 am is 5 hours , then

5 × - 3 = - 15 ← falls 15° in the 5 hours

temperature at 5..00 am = - 2 - 15 = - 17° C

Answer:

-17

Step-by-step explanation:

as it is falling by three so at 5am it will reach -17

Answer:X = 13

Step-by-step explanation:

An exterior angle is equal to the sum of the two opposite interior angle

⇒95=4x+3 + 3x+ 1

95=4x + 3x + 3 + 1

95=7x + 4

95-4=7x

91=7x

91/7=x

13=x

This implies that X= 13

Answer:

Step-by-step explanation:

Answer:

∠ YZX ≈ 19.7°

Step-by-step explanation:

using the sine ratio in the right triangle.

sin YZX = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{XY}{YZ}[/tex] = [tex]\frac{7.5}{22.3}[/tex] , then

∠ YZX = [tex]sin^{-1}[/tex] ( [tex]\frac{7.5}{22.3}[/tex] ) ≈ 19.7° ( to 3 significant figures )

Answer:

The answers are A, B, C, and probably F

Step-by-step explanation:

Volume is how much space an object takes up, while surface area is how much space is on the surface of the object. In option A, we are measuring how much gas can fit in a tank, so volume is used. B and C are also dealing with filling a container. Options D, E, and G are measuring the surface area because they are asking how much of something is needed to cover the surface of a car, barn, and gift. In option F, assuming that the jewelry is pure gold, not just a metal with a gold coating, volume is used.

Hope this helps!

Since "a" is on the top and the bottom, you can simplify that

[tex]\frac{a^2b^2}{ac}[/tex]

[tex]\frac{ab^2}{c}[/tex]

Answer:

514 square feet

Step-by-step explanation:

2(7×4+4×5+5×7)+2(10×8+8×6+10×6)

=2*83 +2*188

=166+376

=542 square feet

7*4=28

542-28=514 square feet

Answer:

640ft

Step-by-step explanation:

7ft×4ft×5ft = 160

10ft×8ft×6ft=480

Add them together

480+160=640 so the answer is 640ft

Answer:

Step-by-step explanation:

4x + y = 8

x + 3y = 8

[tex]Here, \dfrac{a_{1}}{a_{2}}=\dfrac{4}{1}\\\\\\\dfrac{b_{1}}{b_{2}}=\dfrac{1}{3}\\\\\\\dfrac{a_{1}}{a_{2}} \neq \dfrac{b_{1}}{b_{2}}[/tex]

So, this system of equations is consistent and independent.

-4x + 6y = -2

2x - 3y = 1

[tex]\dfrac{a_{1}}{a_2}}=\dfrac{-4}{2}=\dfrac{-2}{1}\\\\\\\dfrac{b_{1}}{b_{2}}=\dfrac{6}{-3}=\dfrac{-2}{1}\\\\\\\dfrac{c_{1}}{c_{2}}=\dfrac{-2}{1}\\\\\\\dfrac{a_{1}}{a_{2}}=\dfrac{b_{1}}{b_{2}}=\dfrac{c_{1}}{c_{2}}[/tex]

So, the system of linear equations are consistent and dependent.

5x -2y = 4

5x - 2y = 6

[tex]\dfrac{a_{1}}{a_{2}}=\dfrac{5}{5}=1\\\\\\\dfrac{b_{1}}{b_{2}}=\dfrac{-2}{-2}=1\\\\\\\dfrac{c_{1}}{c_{2}}=\dfrac{4}{6}=\dfrac{2}{3}\\\\\\ \dfrac{a_{1}}{a_{2}}=\dfrac{b_{1}}{b_{2}} \neq \dfrac{c_{1}}{c_{2}}[/tex]

This system of equations is inconsistent.

Answer:

  28 and 32

Step-by-step explanation:

The product indicated in your problem statement is ...

  (30 -2)(30 +2)

  = 28 × 32

The two numbers are 28 and 32.

__

The equivalent (30^2 -2^2) means that product is 900 -4 = 896.

Answer:

-180√3

Step-by-step explanation:

3√10 x - 6√30

= 3x-6 x -√10 x √30

= -18 x√300

= -18 x 10√3

= -180√3

Eukaryotic cells have a true membrane-bound nucleus and prokaryotes do not.

Eukaryotic cells are larger than prokaryotic cells and have a “true” nucleus, membrane-bound organelles, and rod-shaped chromosomes. The nucleus houses the cell's DNA and directs the synthesis of proteins and ribosomes.

All cells have a plasma membrane, ribosomes, cytoplasm, and DNA. Prokaryotic cells lack a nucleus and membrane-bound structures. Eukaryotic cells have a nucleus and membrane-bound structures called organelles.

So..the answer should be Eukaryotic cells have a true membrane-bound nucleus and prokaryotes do not.

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Answer:

Prokaryotes

✔ do not have

a nucleus surrounding their chromosome of DNA.

Prokaryotes are

✔ more

simple cells than eukaryotes.

Prokaryotes have a

✔ cell wall

outside their cell membrane that gives protection and support.

Prokaryotes will often move by a tail-like

✔ flagellum

.

Step-by-step explanation:

Answer:

A = 41

B = 31

Step-by-step explanation:

angles in a triangle add up to 180 degrees

the three angles in this triangle: 108, x+5, x-5

added up, we get

108 + (x+5) + (x - 5) = 180

= 108 + 2x + 5 - 5

= 108 + 2x

subtract 108 from both sides to isolate the variable and its coefficient

72 = 2x

divide both sides by 2 to solve for x

x = 36

A = x + 5 = 36 + 5 = 41

B = x - 5 = 36 - 5 = 31

The amount of fabric needed to cover 8 blocks is 192cm.

In order to determine the amount of fabric needed, the total surface area of the rectangular prism has to be determined. The total surface area of the rectangular prism is the sum of the areas its faces.

Total surface area of a rectangular prism = 2 (lw + wh + lh)

where:

2 x [(4 x 1/2) + (1/2 x 2) + (4 x2)] = 24cm

Fabric needed fo 8 blocks = 24 x 8 = 192cm

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Answer:

The amount of fabric needed to cover 8 blocks is 192cm.

How much fabric is needed to cover 8 blocks?

In order to determine the amount of fabric needed, the total surface area of the rectangular prism has to be determined. The total surface area of the rectangular prism is the sum of the areas its faces.

Total surface area of a rectangular prism = 2 (lw + wh + lh)

where:

l = length

w = width

h = height

2 x [(4 x 1/2) + (1/2 x 2) + (4 x2)] = 24cm

Fabric needed fo 8 blocks = 24 x 8 = 192cm

Step-by-step explanation:

Answer:549.81

Step-by-step explanation:because that is thhe answer you get

Answer:

$549.81

Step-by-step explanation:

Price

Money in hand

Money needed

Let's see

[tex]\\ \bf\bull\rightarrowtail z^2-9[/tex]

[tex]\\ \bf\bull\rightarrowtail z^2-3^2[/tex]

[tex]\\ \bf\bull\rightarrowtail (z+3)(z-3)[/tex]

Answer:

(z+3)(z-3)

Step-by-step explanation:

a^2 - b^2 = (a+b)(a-b) where a = z and b= 3

Answer:

2

Step-by-step explanation:

Yessir