Banjo is baking his favorite dessert the recipe calls for a 5/8 of a stick of butter but he wants to double the recipe how much butter will bjorn need

Answer:

46

Step-by-step explanation:

the number is 46

Answer:

Step-by-step explanation:

25+125+(-5x)=180 degree(sum of interior angles of a triangle is 180 degree)

150-5x=180

-5x=180-150

x=30/-5

x=-6

Answer:

The sample size should be:

c. 204

Step-by-step explanation:

This is based on the assumption that in this campus, there are no more than 2040 students.  The sample size should be around 10% of the population, which is considered a good representative of the real population for the specific study.  If, however, the population is so large that 10% of the population will be more than 1,000, then the sample size should be limited to 1,000.

The correct answer is A. 5.4% after rounding my answer off to the nearest tenth of a percent.

Answer:

y = 5/16

Step-by-step explanation:

[tex]y\ \alpha\ \frac{1}{x^2}\\\\y = k \times \frac{1}{x^2}\\\\y = \frac{4}{5}, x = 5.\\\\\frac{4}{5} = k \times \frac{1}{5^2}\\\\\frac{4}{5} \times 5^2 = k\\\\20 = k\\\\Now \ find\ y, \ when \ x = 8\\\\y = k \times \frac{1}{x^2} = 20 \times \frac{1}{8^2} = 20 \times \frac{1}{64} = \frac{5}{16}[/tex]

Answer:

the answer is true

Step-by-step explanation:

i took it on edg

Answer:

a) (6,4)

b) (5, 4.5)

Step-by-step explanation:

much like when you find them midpoint where you average the x-coordinates and the y-coordinates to find the midpoint coordinates, you'll do the same thing here.

to set context, a midpoint would break the segment into a ratio of 1:1.

so in the first part, a ratio of 1:2 means you are breaking the segment into 3-parts. So you'll do this for the coordinates:

[tex]x = \frac{8 + 2}{3} \: and \: y = \frac{3 + 6}{3} [/tex]

for the second part as the ratio is 1:3, you are breaking the segment into 4 parts.

[tex]x = \frac{6 + 2}{4} \: and \: y = \frac{4 + 6}{4} [/tex]

Answer:

98

Step-by-step explanation:

The absolute value of a number different from 0 is always positive

- * - = +

15 + 83 = 98

Answer:

A 5.5% = 5400 B 5% = 1800

Step-by-step explanation:

A + B = 7200

A * 0.055 + B * 0.05 = $387

A = 7200 - B

(7200 - B)*0.055 + B*0.05 = 387

396 - 0.055B + 0.05B = 387

396 - 0.005B = 387

0.005B = 9

B = 1800

A = 7200 - B = 7200 - 1800

A = 5400

Answer:

0.0228 = 2.28% probability that any shopper selected at random spends more than $80 per week.

88.54% of shoppers are expected to spend between $30 and 80 per week.

Step-by-step explanation:

Normal Probability Distribution

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Normally distributed with a mean of $50 and a standard deviation of $15.

This means that [tex]\mu = 50, \sigma = 15[/tex]

Find the probability that any shopper selected at random spends more than $80 per week?

This is 1 subtracted by the p-value of Z when X = 80. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{80 - 50}{15}[/tex]

[tex]Z = 2[/tex]

[tex]Z = 2[/tex] has a p-value of 0.9772

1 - 0.9772 = 0.0228

0.0228 = 2.28% probability that any shopper selected at random spends more than $80 per week.

Find the percentage of shoppers who are expected to spend between $30 and 80 per week?

The proportion is the p-value of Z when X = 80 subtracted by the p-value of Z when X = 30.

X = 80

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{80 - 50}{15}[/tex]

[tex]Z = 2[/tex]

[tex]Z = 2[/tex] has a p-value of 0.9772

X = 30

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{30 - 50}{15}[/tex]

[tex]Z = -1.33[/tex]

[tex]Z = -1.33[/tex] has a p-value of 0.0918

0.9772 - 0.0918 = 0.8854

0.8854*100% = 88.54%

88.54% of shoppers are expected to spend between $30 and 80 per week.

Answer:

328

Step-by-step explanation:

To find the lenght of the far left side use SOH, CAH, TOA

we have the hypotonouse and need the opposite side so we'll use SOH

sin(38)=x/26

26sin(38)=16

Then use pathagoreyous theroem to solve for the last side

a²+16²=26²

a= 20.4882

Then the area is just length*width so

16*20.4882=327.9599 which rounds to 328

Answer:

Solution given:

we have

sin 38=opposite/hypotenuse

opposite=breadth [w=b]=sin38*26=16

by using Pythagoras law

l²+b²=26²

l²=26²-16²

l=√420

l=20.5

now

Area =l*w=20.5*16=328cm²

Answer:

12 each

Step-by-step explanation:

60 / 5 = 12 each

Answer:

15 pounds of plaster

Step-by-step explanation:

First, convert ounces to pounds.

In 1 pound, there are 16 ounces. Create a proportion to convert 12 ounces to pounds.

[tex]\frac{1}{16}[/tex] = [tex]\frac{x}{12}[/tex]

Cross multiply and solve for x:

16x = 12

x = 0.75

So, each student will need 0.75 pounds of plaster. Multiply this by 20 to find the total amount the teacher will need:

20(0.75)

= 15

So, the teacher will need 15 pounds of plaster

Answer:

15 pounds

Step-by-step explanation:

Answer:

We want to expand the expression:

[tex](x - \frac{1}{x^2} )^4[/tex]

We can just do it by brute force, this is:

First, rewrite our expression as the product of two square factors:

[tex](x - \frac{1}{x^2} )^4 = (x - \frac{1}{x^2} )^2*(x - \frac{1}{x^2} )^2[/tex]

Now we can expand each one these two factors:

[tex](x - \frac{1}{x^2} )^2 = (x - \frac{1}{x^2} )*(x - \frac{1}{x^2} ) = x^2 + \frac{1}{x^4} -2*x*\frac{1}{x^2}[/tex]

That can be simplified to

[tex]x^2 - \frac{2}{x} + \frac{1}{x^4}[/tex]

Now we can replace that in our original expression to get:

[tex](x^2 - \frac{2}{x} + \frac{1}{x^4})*(x^2 - \frac{2}{x} + \frac{1}{x^4})[/tex]

Now we can expand that last product, to get:

[tex](x^2)^2 + 2*(x^2)*(-\frac{2}{x} ) + 2*(x^2)*(\frac{1}{x^4}) + 2*(\frac{-2}{x})*(\frac{1}{x^4}) + (\frac{-2}{x} )^2 + (\frac{1}{x^4})^2[/tex]

We can simplify that to:

[tex]x^4 - 4x + 2x^2 - \frac{4}{x^5} + \frac{4}{x^2} + \frac{1}{x^8}[/tex]

That is the expanded expression.

Answer:

Mean will be affected.

Step-by-step explanation:

The mean value of the data set will be affected as it depends on the magnitude of data points and not its position. The median however will not change since it depends on the relative position of data points.

Answer:

x = -1

y = 6

Step-by-step explanation:

We can multiply the second equation by two, so we can have opposite y terms:

2 (3x - 2y = -15)

6x - 4y = -30

Now, we can add the equations, and the y terms can cancel out:

  7x + 4y = 17

+ 6x - 4y = -30

13x = -13

x = -1

Now, we can plug in x:

3(-1) - 2y = -15

-3 - 2y = -15

-2y = -12

y = 6

Answer:

153.93804 in^2

Step-by-step explanation:

Area = radius^2 π = 7^2 π = 153,93804 in^2

Answer:

[tex]area = \pi \: r \:^{2} \\ = \pi(7) ^{2} \\ = 153.938 \: in ^{2} [/tex]

Answer: 72x(elevated 4)y(elevated 3)

Step-by-step explanation:

4xy(2x2y)(3xy)(3)

9514 1404 393

Answer:

Step-by-step explanation:

The mnemonic SOH CAH TOA is intended to help you remember the relationships between triangle sides and trig functions. These abbreviations tell you that ...

  Sin = Opposite/Hypotenuse   ⇒   sin(x) = b/c

  Cos = Adjacent/Hypotenuse   ⇒   cos(x) = a/c

  Tan = Opposite/Adjacent   ⇒   tan(x) = b/a

Answer:

Step-by-step explanation:

The line fron the airplane wich is tangent to earth surface is also perpendicular to the radius as you can see in the figure. So is valid to contruct the right-angled triangle as shown in the second figure.

[tex]r^2+(r+h)^2=x^2\\\\r=6378Km,~h=12.5Km\\\\x^2=81517374.25\\\\x=9028.7Km[/tex]

Answer:

30 years

Step-by-step explanation:

Given data

P=$17,000

A= $41,000

R=2.95%

the expressio for the time is

t= ln(A/P)/r

t= ln(41,000 /17000)/0.0295

t= ln(2.41176)/0.0295

t= 0.8803/0.0295

t= 29.8

about 30 years

Answer:

think it's the last one

Step-by-step explanation:

sorry if i'm wrong

Answer:

I got ya :D

the answer is

[tex] \binom{ - 18 \: \: \: 10 }{5 \: \: \: - 3} [/tex]

explanation in the attachment

Answer:

The answer is:

0.18

0.92

0.15

1.80

Answer:

x = 3.2

Step-by-step explanation:

Since they are similar the ratio of the side lengths must be the same

Using the bottom side and the unknown side from the left figure and the right figure

5            4

----- = --------

4            x

Using cross products

5x = 4*4

5x = 16

Divide by 5

x = 16/5

x =3.2

Step-by-step explanation:

Answer:

[tex]C=25^{\circ},\\a\approx 10.72,\\b\approx 11.83[/tex]

Step-by-step explanation:

The sum of the interior angles of a triangle is 180 degrees. Thus, angle C must be [tex]180-90-65=25^{\circ}[/tex].

In any triangle, the Law of Sines is given by [tex]\frac{\sin A}{a}=\frac{\sin B}{b}=\frac{\sin C}{c}[/tex].

Therefore, we have:

[tex]\frac{\sin 90^{\circ}}{b}=\frac{\sin 25^{\circ}}{5},\\\\b=\frac{5\sin90^{\circ}}{\sin 25^{\circ}}=11.8310079158\approx \boxed{11.83}[/tex]

[tex]\frac{a}{\sin 65^{\circ}}=\frac{5}{\sin25^{\circ}},\\a=\frac{5\sin 65^{\circ}}{\sin25^{\circ}}=10.7225346025\approx \boxed{10.72}[/tex]