A baking scale measures mass to the tenth of a gram, up to 650 grams. A cup of flour is placed on the scale and results in a measure of 121.8 grams. Which of the following statements is not true?

The exact mass of the cup of flour must be between 121.7 and 121.9 grams.
The cup of flour has a mass of exactly 121.8 grams.
Given the limitations of the scale, the measurement has an appropriate level of accuracy.
To the nearest gram, the cup of flour has a mass of 122 grams.

Answer:

(0, 1)

Step-by-step explanation:

you have to put the equation in the slope point form

y=mx+b and here b is the y-intercept (where it crosses the y axis)

y-4x=1 add 4x to both sides

y=4x+1 so the coordinats are (x=0, y=1)

The length of the arc defined by the central angle of 312 degrees is 26π cm.

The formula for the arc length of a circle is given by:

L = (θ/360) × 2πr

where L is the length of the arc, θ is the central angle in degrees, and r is the radius of the circle.

Substituting the given values, we get:

L = (312/360) × 2π(30)

L = (26/30) × π × 30

L = 26π cm

Therefore, the length of the arc defined by the central angle of 312 degrees is 26π cm.

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Answer:

B

Step-by-step explanation:

Time can't go backwards

Answer: 6(x+7)° = 24(x-8)°

Step-by-step explanation:
We know that both angles are equal as they are alternate exterior angles.

6(x+7)=24(x-8)

6x+42=24x-192

6x -6x +42 +192 =24x -6x -192 +192

234 = 18x

18x/18 = 234/18

x = 13

And then for question B and C, you need to calculate the expression with x being equal to 13.

Answer: F(x) = (-5/6) x + 13/42

Step-by-step explanation: The provided points are (x1, y1) = (2/7, 3/7) and (x2, y2) = (-1/7, 11/14) respectively.

The following formula can be used to determine the slope of the line connecting the two points:

m = (y2 - y1)/(x2 - x1)

m = (11/14 - 3/7)/(-1/7 - 2/7)

m = (5/14)/(-3/7)

m = -5/6

In order to construct the equation of the line, we can now utilize the point-slope form:

y - y1 = m(x - x1)

The result of substituting the values of m, x1, and y1 is:

y - 3/7 = (-5/6)(x - 2/7).

Answer:

B is one is there anymore options

Step-by-step explanation:

he net income for the year is $16,550.

Calculation of the net income for the year:Retained earnings equation is:Beginning Retained Earnings + Net Income − Dividends = Ending Retained EarningsWhere, Beginning Retained Earnings = $0 (not given)Ending Retained Earnings = $16,550 (calculated from balance sheet)Dividends = $0 (not given)

Therefore,Net Income = Ending Retained Earnings - Beginning Retained Earnings + Dividends= $16,550 - $0 + $0= $16,550 Balance Sheet of Cole Valley Book Store as of December 31, current year:Current assets Cash on hand and in bank = $69,250 Amounts due from customers from sales of books = $43,500 Total current assets = $112,750 Property, plant, and equipment Unused portion of store and office equipment = $72,500

Total assets = $185,250Liabilities Amounts owed to publishers for books purchased = $12,400 One-year note payable to a local bank = $3,200 Total liabilities = $15,600 Stock holders' Equity Common stock, 5,600 shares at $71,500 = $400,400 Retained earnings, beginning = $0Net income = $16,550 Retained earnings, ending = $16,550 Total stockholders' equity = $416,950Total liabilities and stockholders' equity = $185,250 + $15,600 + $416,950= $617,800

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Answer:

3zx-15z+12x-60

Step-by-step explanation:

first do parenthesis and distribute (z+4)(x-5) into zx-5z+4x-20

then distribute the 3 to get the answer

Expressions which represent the distance between the sandbag and the target is:

250-75 meters

i.e. 175 meters

Jonas's dropped a sandbag from a hot air balloon at a target that is 250 meters below the balloon.

At this moment, the sandbag is 75 meters below the balloon.

Then, distance between the sandbag and the target is:

250-75 meters

i.e. 175 meters

Hence, expressions which represent the distance between the sandbag and the target is:

250-75 meters

i.e. 175 meters

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Answer:

vWhat is the area, in square units, of the parallelogram shown below? (5 points)

A parallelogram ABCD is shown with height 8 units and base 6 units.

Group of answer choices

24 square units

48 square units

52 square units

64 square units

Step-by-step explanation:

Formula:

C^2 =a^2 + b^2

Answer = 4.47

Nearest tenth= 4.5

The length of the third side of the triangle is 4.5 units.

The Pythagorean theorem, or Pythagoras' theorem, is a fundamental relation in Euclidean geometry among the three sides of a right triangle.

Here, sides of triangle is AB = 4 , BC = 2

By Pythagoras Theorem,

AC² = AB² + BC²

AC² = 4² + 2²

AC² = 20

AC = √20

AC = 4.47

AC = 4.5

Thus, the length of the third side of the triangle is 4.5 units.

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we would expect m to be positive.

In this case, we're considering a formula of the form y = mx + b, where y represents the cost of a four-year college x years after 2010. The variable m represents the coefficient of x, which determines the slope of the line.

Since we're discussing the cost of college, it's reasonable to expect that it generally increases over time. Therefore, we would expect the coefficient m to be positive. A positive value of m indicates that as the number of years after 2010 increases (x), the cost of college (y) will also increase.

If m were negative, it would imply a decreasing cost over time, which is less likely for a four-year college. If m were zero, it would indicate that the cost remains constant regardless of the number of years after 2010, which is also unlikely given the rising trend in college costs.

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The sum of expected marks is given as follows:

9375.

Each question has four choices, hence the probability of choosing the correct choice is given as follows:

p = 1/4 = 0.25.

Then the expected number of correct answers is given as follows:

E(X) = 0.25 x 150

E(X) = 37.5.

Then the expected grade for a single student is given as follows:

37.5 - 0.25(150 - 37.5) = 9.375.

The expected sum for the 1000 students is then given as follows:

1000 x 9.375 = 9375.

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Answer:

4 , 24 , 144 , 864 , 5184

This is a sequence which is multiplied by 6 with the new digit.

First: 4

second: 4 * 6 = 24

third: 24 * 6 = 144

fourth: 144 * 6 = 864

fifth: 864* 6 = 5184

sixth: 5184 * 6 = 31104

seventh: 31104 * 6 = 186624

This sequence is never ending. Write the first 5 five in sequence that's the answer.

Answer:

B. Yes, Every 3 days, sales increase by $1000

Step-by-step explanation:

A proportional relationship exists because the line cuts across the point of origin, (0, 0).

Constant rate of change is that there is an equal sales increase of $1,000 on every 3 days. Thus, on day 3, sales was $1,000. On day 6, sales was $2,000.

This shows proportional increase of $1,000 of sales, every 3 days.

Tthe triangle that is a reflection of the green triangle is figure 1

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

The figures

Where, we have:

This means that the triangle that is a reflection of the green triangle is figure 1

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For the fractions, the calculation of 3/5 of 2/3 of 3/4 of 560 is equal to 168.

To calculate 3/5 of 2/3 of 3/4 of 560, break it down step by step:

Step 1: Calculate 3/4 of 560:

3/4 × 560 = (3 × 560) / 4 = 1680 / 4 = 420

Step 2: Calculate 2/3 of the result from Step 1:

2/3 × 420 = (2 × 420) / 3 = 840 / 3 = 280

Step 3: Calculate 3/5 of the result from Step 2:

3/5 × 280 = (3 × 280) / 5 = 840 / 5 = 168

Therefore, 3/5 of 2/3 of 3/4 of 560 is equal to 168.

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Answer: E

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

Substitute the values in the expression, we have:

\(\displaystyle{|-1-3|+4}\)

Evaluate:

\(\displaystyle{|-4|+4}\)

Any real numbers in the absolute sign will always be evaluated as positive values. Thus:

\(\displaystyle{|-4|+4 = 4+4}\\\\\displaystyle{=8}\)

Hence, the answer is 8. A quick note that z-value is not used due to lack of z-term in the expression.

Answer:

Graph # 4

Step-by-step explanation:

If regular payments are paid each month, there would be no change in the slope of the line and the slope will be 0.

Amount owed = y

Number of car payments paid = x

So, if there is no change in y, the line will be a straight line parallel to x-axis.

\(\rule[225]{225}{2}\)

Hope this helped!

The number of miles ran by Emily is 43 miles.

Using equations to express the given information:

Let Emily's run = x

Danielle= d

Last week :

Given that d = 18

Emily's distance can be calculated thus:

18 = x - 25

x = 18 + 25

x = 43

Therefore, Emily ran 43 miles.

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The recursive formula for this problem is given as follows:

\(P_n = 1.05 \times P_{n - 1}\)

The explicit formula for this problem is given as follows:

\(P_n = 150(1.05)^n\)

The number of tickets in 2026 is given as follows:

297 tickets.

A geometric sequence is a sequence of numbers where each term is obtained by multiplying the previous term by a fixed number which is defined as the common ratio q.

The explicit formula of the sequence is given as follows:

\(a_n = a_1q^{n}\)

In which \(a_1\) is the first term.

The parameter values for this problem are given as follows:

\(a_1 = 150, q = 1.05\)

Hence the function is given as follows:

\(P_n = 150(1.05)^n\)

2026 is 14 years after 2012, hence the number of tickets is given as follows:

\(P_{14} = 150(1.05)^{14} = 297\)

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Answer:

5 shipments had at least 10 broken tiles but less than 20 broken tiles.

Answer:

Where are the answer choices my dude

Step-by-step explanation:

The perimeter and area of a rectangle are (5,6) and (6,5).

The perimeter method for a rectangle states that P = (L + W) × 2, where P represents perimeter, L represents length, and W represents width. when you are given the size of a square form, you may simply plug within the values of L and W into the formula that allows you to clear up for the fringe.

A perimeter is a closed course that encompasses, surrounds, or outlines either a two-dimensional shape or a one-dimensional period. The perimeter of a circle or an ellipse is known as its circumference. Calculating the perimeter has several practical programs.

The perimeter P of a rectangle is given by means of the method, P=2l+2w, in which l is the period and w is the width of the rectangle. The place A of a rectangle is given with the aid of the components, A=lw, wherein l is the length and w is the width.

The perimeter of the rectangle:

P=2l+2w=22

divide 2 into both sides

l+w=11 -------------> (1)

w=11-l

Area of the rectangle:

l*w=30

l(11-l)=30

11l-l^2-30=0

l^2-11l+30=0

By factor method,

(l-5)(l-6)=0

l=5,6.

Substitute this value in w,

l=5 implies w=6

l=6 implies w=5

There we have two solutions.

The length and breadth of the rectangle is

(5,6) and (6,5).

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Answer:

20 girls

Step-by-step explanation:

boys: girls

3          5

There are 12 boys

12/3 = 4

Multiply each side by 4

boys: girls

3*4      5*4

12         20

Answer:

20 girls

Step-by-step explanation:

Divide 12 by 3 : 12/3 = 4

Multiply 4 by 5 : 4*5 = 20