find the approximate value of 2.49 and 2.98​

Answer:

Step-by-step explanation:

divide by R

Answer:

Ximena can use 1 gigabytes of data

Step-by-step explanation:

The first thing you want to do is subtract

51.10 - 44.50 =  5.6

5.6 is the amount of money she will have to spend on data

With each gigabyte costing 4 dollars and only 5 dollars to spend

she can only use one gigabyte

Answer:

9.9 inches

Step-by-step explanation:

Use the pythagorean Theorem

c^2 = a^2 + b^2

c^2 = 7^2 + 7^2

c^2 = 49 + 49

c^2 = 98

Take the square root of both sides

c = 9.8994949366

Rounded

c = 9.9 inches

Answer:

The bearing is N 55.62° W

Step-by-step explanation:

ship leaves the port of Miami with a bearing of S80°E and a speed of 15 knots.

It then turns 90° towards the south after one hour.

Still maintain the same speed and direction for two hours.

The bearing is just the angle difference from the ship current location to where it started.

Let the speed be km/h

Distance covered in the first round

= 15*1

= 15km

Distance covered in the second round

=15*2

= 30 km

Angle at C = (90-80)+90

Angle at C = 10+90= 100

Let the distance between the port and the ship be c

C²= a² + b² -2abcos

C²= 15²+30²-2(15)(30)cos 100

C²= 225+900+156.28

C²= 1281.28

C= 35.8 km

Using sine formula

30/sin x= 35.8/sin 100

30/35.8 * sin 100 = sinx

0.838*0.9848= sin x

0.8253= sin x

Sin ^-1 0.8253 = x

55.62° = x

The bearing is N 55.62° W

Answer:

D is approximately (-2, -1)

Step-by-step explanation:

\({ \tt{slope \:AB = slope \: CD }} \\ \\ { \tt{ \frac{(4 - 3)}{( - 1 - 2)} = \frac{(y - ( - 2))}{(x - ( - 2))} }} \\ \\ { \tt{ \frac{1}{ - 3} = \frac{y + 2}{x + 2} }} \\ \\ { \tt{x + 2 = - 3y - 6}} \\ { \underline{ \tt{ \green{ \: \: 3y + x = - 8 \: \: }}}}\)

\({ \tt{slope \: AD= slope \: BC}} \\ \\ { \tt{ \frac{y - 3}{x - 2} = \frac{ - 2 - 4}{ - 2 - 1} }} \\ \\ { \tt{ \frac{y - 3}{x - 2} = \frac{6}{3} }} \\ \\ { \tt{ \frac{y - 3}{x - 2} = 2}} \\ \\ { \tt{y - 3 = 2(x - 2)}} \\ { \tt{y - 3 = 2x - 4}} \\ { \underline{ \tt{ \blue{ \: \: y - 2x = - 1 \: \: }}}}\)

Solve the green equation and blue equation simultaneously:

\({ \boxed{ \tt{ \red{ \: y \approx - 2 \: \: }}and \: \: { \red{x \approx - 1}}}}\)

Let the co-ordinates of D be (a,b)

\(\\ \tt\hookrightarrow \dfrac{4-3}{-1-2}=\dfrac{b+2}{a+2}\)

\(\\ \tt\hookrightarrow \dfrac{-1}{2}=\dfrac{b+2}{a+2}\)

\(\\ \tt\hookrightarrow -a-2=2b+4\)

\(\\ \tt\hookrightarrow a+2b+6=0\dots(1)\)

\(\\ \tt\hookrightarrow \dfrac{b-3}{a-2}=\dfrac{-2-4}{-2+1}\)

\(\\ \tt\hookrightarrow \dfrac{b-3}{a-2}=6\)

\(\\ \tt\hookrightarrow 6a-12=b-3\)

\(\\ \tt\hookrightarrow 6a-b-9=0\dots(2)\)

Multiplying 2 with eq(2)

\(\\ \tt\hookrightarrow 12a-2b-18=0\dots(3)\)

\(\\ \tt\hookrightarrow 13a-12=0\)

\(\\ \tt\hookrightarrow a=12/13=0.9\to 1\)

\(\\ \tt\hookrightarrow 12/13+2b+6=0\)

\(\\ \tt\hookrightarrow 90/13=-2b\)

\(\\ \tt\hookrightarrow b=-90/26=-3 4\to 3\)

Answer:

3 1/2 is located between 3 and 4 on the number line.

Answer:

B

Step-by-step explanation:

a,b and c are the sides of a triangle if it satisfies:

a<b+c  , b<a+c and c<b+a

Here, a=4 and b=7

We have to find c

i.e. all those c which satisfies:

4<7+c , 7<4+c and c<4+7=11

A.3   it is not true since it doesn't satisfies second inequality

B.5   it is true

C.7   it is true

D.9   it is true

E.11   This is clearly false, since it doesn't satisfies inequality third

F.17 This is clearly false, since it doesn't satisfies inequality third

Hence, correct options are:

B.5

C.7

D.9

Still stuck? Get 1-on-1 help from an expert tutor now.

Answer:

Step-by-step explanation:

66

The z-score for Brazil is given as follows:

Z = 0.87.

The z-score formula is defined as follows:

\(Z = \frac{X - \mu}{\sigma}\)

In which:

The parameters for this problem are given as follows:

\(X = 6.24, \mu = 4.8, \sigma = 1.66\)

Hence the z-score for Brazil is given as follows:

Z = (6.24 - 4.8)/1.66

Z = 0.87.

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His total earnings for a total sale of 7,000​ could be 1450sh

From the question, we have the following parameters that can be used in our computation:

Salary = 400

Commission = 15%

using the above as a guide, we have the following:

Total earnings = 400 + 15% * Total sales

So, we have

Total earnings = 400 + 15% * 7000

Evaluate

Total earnings = 1450

Hence, the total earnings is 1450

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Question

Simon earned 400sh weekly for goods sold and a commission of 15%

What could be his earnings for a total sale of 7,000​.

Answer:

Step-by-step explanation:

-206

when you divide those two numbers you get a negative number and a decimal because you are dividing by a decimal with a negative sign.

Answer:

-21

...

I think, let me know if I'm wrong

Answer:

-8, -10i, 10i

Step-by-step explanation:

x^3 + 8x^2 + 11x = -800

I just plugged it into my calculator

Answer:

The Answer for your Question is 4 .

Hope u like it

Answer:

53.3 degrees

Step-by-step explanation:

∆DEF and ∆RSQ are similar. We know this, because the ratio of their corresponding sides are equal. That is:

DE corresponds to RS

EF corresponds to SQ

DF corresponds to RQ.

Also <D corresponds to <R, <E corresponds to <S, and <F corresponds to <Q.

The ratio of their corresponding sides = DE/RS = 6/3 = 2

EG/SQ = 8/4 = 2

DF/RQ = 4/2 = 2.

Since the ratio of their corresponding sides are equal, it means ∆DEF and ∆RSQ are similar.

Therefore, their corresponding angles would be equal.

Thus, m<Q = m<F

Let's find angle F

m<F = 180 - (98 + 28.7)

m<F = 53.3°

Since <F corresponds to <Q, therefore,

m<Q = 53.3°

Step-by-step explanation:

The way you can think about volume is that we have some cross sectional area times the height of the solid.

27.

The volume of a square based pyramid is

\(v = {s}^{2} ( \frac{h}{3} )\)

where h is the height of the pyramid

s is the side length of the square base.

S=7

h=12

\(v = {7}^{2} ( \frac{12}{3} ) = 49 \times 4 = 196\)

28. The volume of a rectangular prism

\(v = l \times w \times h\)

where l is length

w is width

h is height

\(v = 11 \times 11 \times 8 = 968\)

29.

Use the same formula in 27

\(v = 100(3) = 300\)

30.

Volume of a Cylinder is

\(v = \pi {r}^{2} h\)

where r is the radius of the circle

where h is the height

r is half of the diameter

The diameter is 22, thus the radius is 11.

\(v = {11}^{2} (8)(\pi)\)

\(v = 968\pi\)

pi is approximately 3.14

\(v = 3041.06\)

31. Volume of A Sphere

\( \frac{4}{3} \pi {r}^{3} = v\)

The radius is half of diamter, thus r=7

\( \frac{4}{3} \pi( {7}^{3} ) = 1436.76\)

The Z-value is Z=-2.121<Zcritical and the p-value is 0.0169 when percentage of at least 0.8 of the packages must include 3 ounces.

Given that,

A percentage of at least 0.8 of the packages must include 3 ounces or more of chocolate stars for a candy producer to assert that a bridge mix is predominantly chocolate stars. A random sample of 50 packages is tested by quality control to see if the proportion is less than 0.8 at a significance level of 0.05.

We have to determine p, the z-score, and the p-value, use Sheet 6 of the Excel document.

We know that,

In the picture there is a sheet 6.

N=50

n=34

Proportion pbar = n/N=34/50=0.68

H₀: p≥0.8

H₁: p<0.8

Z=pbar-p/√(p(1-p)/N

Z=0.68-0.8/√0.8(1-0.8)/50

Z=-2.121

α=0.05

Reject H₀ if Z<-Zcritical

Zcritical for one tailed (Left) = -1.6449

Z=-2.121<Zcritical

Reject H₀

P(Z < -2.121) = 0.0169

p-value = 0.0169

Since the p-value is less than significance level of 0.05 the null hypothesis is rejected.

There is sufficient data to draw the conclusion that, at the 0.05 level of significance, the proportion of packages containing 3 ounces or more of chocolate stars is less than 0.8.

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Answer:

\(Area = 153.938040026m^2\)

\(Circumference= 43.9822971503m\)

Step-by-step explanation:

Area

\(Area = \pi r^2\\Area = \pi *7^2\\Area = 49\pi\\Area = 153.938040026\)

Circumference

\(C = 2\pi r\\C = 2\pi*7\\C= 14\pi\\C=43.9822971503\)

The value of angle x = 56.63 degree.

In the Given figure

EF = 4.4

FD = 8

∠F = x degree

Since we know that

CosΘ = (adjacent of a)/hypotenuse

Therefore,

Cosx = 4.4/8

         = 0.55

Take inverse of cos both sides,

x = 56.63 degree

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Answer:

The equation of function g after horizontal compression by a factor of 3 is:

g(x) = 7(3x) + 1 = 21x + 1

To substitute a numerical value for k into the function equation, we need to know the value of k. It is not given in the question, so we cannot provide a numerical answer.

Step-by-step explanation:

When a function is horizontally compressed by a factor of k, we divide the input (x) by k to obtain the new input for the transformed function.

The equation for the horizontally compressed function is:

g(x) = f(x/k)

Substituting f(x) = 7x + 1, we get:

g(x) = 7(x/k) + 1

Simplifying, we get:

g(x) = (7/k)x + 1

Thus, the equation for the transformed function g is obtained by replacing k with the given compression factor.

For example, if the compression factor is 3, then:

g(x) = (7/3)x + 1

And to substitute a numerical value for k, we need to know the value of k. If k = 2, for example, then:

g(x) = (7/2)x + 1

To find the additional cost incurred when production is increased from 2 units to 13 units, we need to calculate the difference between the total cost of producing 13 units and the total cost of producing 2 units.

The total cost of producing x units is given by the antiderivative of the marginal cost function:

C(x) = ∫ C′(t) dt = 0.04t^3 - 2t^2 + 80t + C

where C is an arbitrary constant of integration.

To find the value of C, we can use the fact that the total cost of producing 2 units is known:

C(2) = 0.04(2)^3 - 2(2)^2 + 80(2) + C = 162 + C

We know from the problem statement that the total cost of producing 2 units is $162, so we can solve for C:

162 + C = C(2) = 0.12(2)^2 - 4(2) + 80 = 68

C = -94

Now we can find the total cost of producing 13 units:

C(13) = 0.04(13)^3 - 2(13)^2 + 80(13) - 94 = 1956

The additional cost incurred when production is increased from 2 units to 13 units is:

C(13) - C(2) = 1956 - 162 = $1794

Therefore, the additional cost incurred in dollars when production is increased from 2 units to 13 units is $1794.

Answer:

Step-by-step explanation:

Call mango as x, peach as y and watermelon as z

The expression of the total cost for 2 peaches, 5 mangoes and 3 watermelons is : 5x + 2y + 3z

The total cost is : 2 x 0.79 + 5 x 1.89 + 3 x 3.25 = 1.58 + 9.45 + 9.75 = 20.78

The Length of the rod is 3/5 meters.

The civil engineer wants to find the length of a rod that stretches for 1 meter and can be given by the function x=2y^(3/2).

To find the length of the rod, we need to integrate the function x=2y^(3/2) with respect to y. Integrating both sides of the equation,

we have:'int dx = int 2y^(3/2) evaluating the left-hand side gives x = 2/5 y^(5/2) + C, where C is the constant of integration. To find the value of C,

we use the given information that the rod stretches for 1 meter. At y = 0, x = 0 since the rod has no length when it is not stretched. At y = 1, x = 1 since the rod stretches for 1 meter.

Therefore, we have:1 = 2/5 (1)^(5/2) + C1 = 2/5 + CC = 3/5 Substituting C = 3/5 back into the equation for x,

we have:x = 2/5 y^(5/2) + 3/5

The length of the rod is given by the value of x when y = 1. Substituting y = 1,

we have:x = 2/5 (1)^(5/2) + 3/5 = 3/5

The length of the rod is 3/5 meters.

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1. The volume of the black bag is 1728 cubic inches. 2. The volume of the blue bag is 2700 cubic inches. 3. The black bag will fit in the Check Box. 4. The bigger suitcase is 27 times larger than the smaller suitcase.

Volume, which is commonly expressed in cubic units, is the amount of space occupied by a three-dimensional object. By multiplying an object's length, breadth, and height, as well as other formulas depending on the shape of the object, one can get the volume of the thing. Volume is a key concept in many practical applications, including calculating container capacity, constructing structures, and estimating the amount of material required for a construction project. Volume is utilised in many branches of mathematics, science, and engineering.

For the given dimensions of the bags we have:

1. The volume of the black bag is:

18 x 12 x 8 = 1728 cubic inches

2. The volume of the blue bag is:

18 x 15 x 10 = 2700 cubic inches

3. The black bag will definitely fit in the Check Box because its volume of 1728 cubic inches is less than the volume of the Check Box, which is 2772 cubic inches.

4. The ratio of bigger suitcase to smaller suitcase is:

75 x 20 x 18 = 27000 cubic inches

25 x 8 x 9 = 1800 cubic inches

27000 / 1800 = 27

The bigger suitcase is 27 times larger than the smaller suitcase.

5. Now, if the watermelons is about 10 inches long and 9 inches wide, then its height would be:

720 = 10 x 9 x H

720 = 90H

H = 8 inches

The maximum amount of watermelons that can fit are:

27000 / 720 = 37.5 watermelons = 37 watermelons.

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Answer:

20

Step-by-step explanation:

the two closest are 20 and 30

21 is the next digit after 20 and the closest to it.

21 is 9 away from 30 and is farther.

Answer:

how are we supposed to now if u didnt give the ratio

Step-by-step explanation:

Answer:

Step-by-step explanation:

YOU KNOW HOW TO WRITE IN SPANISH

Answer:

20 sec

Step-by-step explanation:

2.4 in = 144 sec

124

144 - 124 = 20

Answer: The lines below are perpendicular.

Step-by-step explanation: They are perpendicular because they start at one side and end at the side across.        Hope this helped!!! :)