A rectangle has 2 lines of symmetry which are also called

The baker can only make peanut butter cookies and cannot make any chocolate chip cookies with the given amount of ingredients.

Let's denote the number of batches of peanut butter cookies as "x" and the number of batches of chocolate chip cookies as "y."

From the given information, we can set up the following system of equations:

For the flour:

2x + 3y = 26

For the butter:

34x + y = 9

To solve this system of equations, we can use the substitution method or the elimination method. Let's use the elimination method:

Multiply the first equation by 17 (to make the coefficients of x in both equations the same):

34x + 51y = 442

Now we have the system of equations:

34x + y = 9

34x + 51y = 442

Subtract the first equation from the second equation:

34x + 51y - (34x + y) = 442 - 9

50y = 433

Divide both sides by 50:

y = 433/50

Since the number of batches of cookies cannot be fractional, we need to find a whole number solution for y. However, in this case, y is a fraction, indicating that the given amount of butter is not sufficient to make even one batch of chocolate chip cookies.

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To solve this equation:

1. Use distributive property to remove parenthesis:

2. Substract 4x in both sides of the equation:

Answer:

55°

Step-by-step explanation:

if angle 4 = 105°, then angle 3 must be 180 - 105 = 75° (angles in straight line add up to 180°).

angles in a triangle also add up to 180°.

so we expect angle 2 to be 180 - angle 6 - angle 3

= 180 - 50 - 75

= 55°.

Answer:

b = 9

Step-by-step explanation:

Hello, once again.

Perpendicular lines have negative reciprocal slopes.

The slope would be -2.

Plug the y and x values in.

y = -2x + b

5 = -2(-2) + b

5 = -4 + b

b = 9

To be 95% confident that the estimate of the Percentage of computers with a new operating system is in error by no more than 4 percentage points, the programmer needs to survey at least 601 computers.

The sample size (n) needed to estimate the percentage of computers using a new operating system with a 95% confidence level and an error margin of no more than 4 percentage points, we need to use the formula for sample size estimation for proportions.

The formula is:

n = (Z^2 * p * (1-p)) / E^2

Where:

- n is the sample size

- Z is the z-score corresponding to the desired confidence level (for 95% confidence level, the z-score is approximately 1.96)

- p is the estimated proportion (since nothing is known about the percentage of computers with the new operating system, we assume p = 0.5 for maximum variability)

- E is the desired margin of error (in this case, 4 percentage points, which is 0.04 in decimal form)

Now, let's substitute the values into the formula and calculate the sample size (n)

n = (1.96^2 * 0.5 * (1-0.5)) / 0.04^2

n = (3.8416 * 0.25) / 0.0016

n = 0.9604 / 0.0016

n ≈ 600.25

Since the sample size must be a whole number, we round up to the nearest integer.

n = 601

Therefore, to be 95% confident that the estimate of the percentage of computers with a new operating system is in error by no more than 4 percentage points, the programmer needs to survey at least 601 computers.

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Jimmy would've jogged 32.02m if he ran through a straight line by Pythagorean theorem.

What is Pythagorean theorem?

We can proceed to use this to find the distance from point a to point b assuming he ran through a straight line.

Mathematically, the theorem can be expressed as

              x² = y²  +  z²

Let's substitute the values into the equation and solve

     x² = 20²  + 25²

      x = 32.02m

Jimmy would've jogged 32.02m if he ran through a straight line.

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Answer:

Step-by-step explanation:

There are 96 cells

Answer:

-2,-1.5,-1,-0.5 etc

Step-by-step explanation:

The smaller the negative value the greater the value compared to other negative value carrying a negative sign.

here it is, hope i helped :)

the answer is 3 1/12

Answer:

6 2/6 -3 2/8

Step-by-step explanation:

6*6=36

36+2=38

so it becomes 38/6

8*3=24

24+2=26

so it becomes 26/8

for same denominator *ply 38/6 with 8 &26/8 with 6

it will become: 304-156/48

148/48

which is equal to

3 4/48

Answer:

Step-by-step explanation:

To simplify the expression (5x - 2) / (x - 2) - (4x), we can follow these steps:

First, let's simplify the numerator:

5x - 2

Now, let's distribute the negative sign to the term (4x):

-4x

Next, let's combine the terms in the numerator:

(5x - 2) - 4x = 5x - 2 - 4x = x - 2

Now, let's rewrite the expression:

(x - 2) / (x - 2) - 4x

Since we have (x - 2) as both the numerator and denominator, we can simplify further by canceling out the common factor:

1 - 4x

Therefore, the simplified form of the expression (5x - 2) / (x - 2) - (4x) is 1 - 4x.

Answer:

Cadence is flipping her coin 32 times

Step-by-step explanation:

So the fraction is 1/32 which means 32 is the number of times the coin was flipped.

Answer:

\(\frac{7}{3}\)

Step-by-step explanation:

csc(Ф) is equivalent to the inverse of sin(Ф)

Since sin(Ф) = 3/7, the inverse of this would be 7/3

So, \(csc = \frac{1}{\frac{3}{7} }=\frac{7}{3}\)

Answer:

\(\frac{c}{2\pi } =r\)

Step-by-step explanation:

c = 2πr

→ Divide both sides by 2π

\(\frac{c}{2\pi } =r\)

Answer:

10.7

Step-by-step explanation:

Since this is a right triangle, we can use trig functions to calculate the hypotenuse.

We know the opposite side from the angle labeled 59 degrees.

sin 59 = opp side / hypotenuse

sin 59 = 9.2/x

x = 9.2/ sin 59

x = 10.733

Answer:

The answer A,B,C

Answer:

4th option

Step-by-step explanation:

-7 < X - 1 < 8

Add +1 on all side

-7+1<x-1+1<8+1

-6<x<9

Answer:

D

Step-by-step explanation:

-7<x-1 and - 1<8

-7<x-1 : x>-6

x-1<8 : x<9

combine x>-6 and x<9

= -6 < x < 9

The length of the side GF is equal to 0.96 according to Pythagoras's Theorem.

Given angle ∠E = 16°

Length of side GE = 3.5

Also the given angle is right angled triangle. So ∠F = 90°.

Now we need to find the length of side GF.

Use Pythagoras's theorem to find the length GF.

Formula: \(C^{2} =A^{2} +B^{2}\)

i.e., \(GE^2=GF^2+EF^2\)

Now, according to trigonometric rules, sinФ= opposite /hypotenuse

cosФ = adjacent / hypotenuse

tanФ = opposite / adjacent

Now, sum of all angles = 180°

So ∠G = 180°-90°-16° = 74°

∠G = 74°

Now, sin 16° = x/3.5 = opposite / hypotenuse

x = 0.275 x 3.5

x= 0.96

Therefore, the length of the side GF (x) is equal to 0.96.

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Answer:

Step-by-step explanation:

Lets analyze the graph:

Based on above observations and the fact that all have same y-intercept of -2, we can say required inequality is:

Correct option is C

Answer:

  (a)  6, 8, 10

Step-by-step explanation:

You want to know the side lengths that form a right triangle from among the choices offered.

First, we can eliminate all choices where the side lengths cannot form a triangle. A triangle will only be formed if the sum of the shortest two lengths exceeds the longest.

  6 + 8 > 10 . . . . true, forms a triangle

  6 + 8 > 14 . . . . false, not a triangle

  6 + 6 > 18 . . . . false, not a triangle

  12 +25 > 169 . . . . false, not a triangle

Already we know there is only one reasonable answer choice:

  6, 8, 10

We can check to see if these lengths form a right triangle. If they do, they will satisfy the Pythagorean relation:

  a² +b² = c²

  6² +8² = 10²

  36 + 64 = 100 . . . . true

The side lengths 6, 8, 10 can be the sides of a right triangle.

__

Additional comment

The sides 6, 8, 10, have the ratios 3:4:5. They are double the lengths of the primitive Pythagorean triple {3, 4, 5}. It can be worthwhile to remember a few such triples, as they appear often in problems involving triangles. Here are a few:

  {3, 4, 5}, {5, 12, 13}, {7, 24, 25}, {8, 15, 17}, {9, 40, 41}

The only triple that is an arithmetic sequence is 3, 4, 5. Another point worthy of note is that the sum of integer side lengths of a right triangle is always an even number.

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The correct answer is D. No because 23 and 25 are not supplementary.

In the given diagram, it is stated that the measures of angles 23 and 27 are 45°, and the measure of angle 25 is 135°. To determine if lines C and D are parallel, we need to analyze the angles formed by these lines.

If the alternate interior angles or corresponding angles are congruent, then the lines are parallel. However, in this case, we don't have enough information about the angles formed by lines C and D to make that determination.

The fact that angle 23 and angle 27 are congruent (both measuring 45°) doesn't provide any information about the relationship between lines C and D. Similarly, the measure of angle 25 being 135° doesn't give us any insight into the parallelism of lines C and D. Therefore, we cannot conclude that lines C and D are parallel based on the given information, and the correct answer is D.

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Answer:

I can answer a couple

4. Ravan (i am sure)

5. Bhramha (i think)

6. Vishnu

Step-by-step explanation:

hope this helps!

Answer:

0.7780

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal probability distribution

When the distribution is normal, we use the z-score formula.

In a set with mean \(\mu\) and standard deviation \(\sigma\), the zscore of a measure X is given by:

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

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 pvalue, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean \(\mu\) and standard deviation \(\sigma\), the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \(\mu\) and standard deviation \(s = \frac{\sigma}{\sqrt{n}}\).

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Population:

We have that \(\mu = 7.19, \sigma = 0.86\)

Sample of 12:

\(n = 12, s = \frac{0.86}{\sqrt{12}} = 0.2483\)

What is the probability that the mean cost will be more than $7.00?

This is 1 subtracted by the pvalue of Z when X = 7. So

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

By the Central Limit Theorem

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

\(Z = \frac{7 - 7.19}{0.2483}\)

\(Z = -0.765\)

\(Z = -0.765\) has a pvalue of 0.222

1 - 0.222 = 0.778

So the answer is 0.7780

Answer:

d

Step-by-step explanation:

10x2- -6=26

Answer:

D (10,-2)

Step-by-step explanation:

A) The variable is n, which represents the number of the figure in the pattern.

B) Here is a table for up to 8-figure patterns:

Figure Number of Cheerios

1                      1

2                      3

3                      6

4                     10

5                     15

6                     21

7                    28

8                    36

C) The equation to represent the nth term of the sequence is n(n+1)/2.

D) If the pattern continues, the figure number that will have 20 whole Cheerios in it is 12.

E) It is not reasonable to think this pattern would continue forever. The number of Cheerios in each figure is increasing by 2 each time. This means that the number of Cheerios in the figure will eventually exceed the number of Cheerios in a box.

F) Based on the information provided, the largest figure number we can have using a full box of Cheerios is 107. This is because there are 108 Cheerios in a box, and the number of Cheerios in each figure is increasing by 2 each time.

Here is a more detailed explanation of how to answer each question:

A) Identify and label the variable

The variable is n, which represents the number of the figure in the pattern. For example, the first figure is figure 1, the second figure is figure 2, and so on.

B) Make a table for up to 8-figure patterns

Here is a table for up to 8-figure patterns:

Figure Number of Cheerios

1                        1

2                        3

3                        6

4                        10

5                        15

6                        21

7                        28

8                        36

C) Write an equation to represent the nth term of the sequence

The equation to represent the nth term of the sequence is n(n+1)/2. This equation can be derived by looking at the table of values. For example, the number of Cheerios in the first figure is 1, which is equal to 1(1+1)/2. The number of Cheerios in the second figure is 3, which is equal to 2(2+1)/2. And so on.

D) If the pattern continues, what figure number will have 20 whole Cheerios in it?

If the pattern continues, the figure number that will have 20 whole Cheerios in it is 12. This can be found by solving the equation n(n+1)/2 = 20. The solution is n = 12.

E) Is it reasonable to think this pattern would continue forever? If not, explain.

It is not reasonable to think this pattern would continue forever. The number of Cheerios in each figure is increasing by 2 each time. This means that the number of Cheerios in the figure will eventually exceed the number of Cheerios in a box.

F) Based on the information provided, what is the largest figure number we can have using a full box of Cheerios?

Based on the information provided, the largest figure number we can have using a full box of Cheerios is 107. This is because there are 108 Cheerios in a box, and the number of Cheerios in each figure is increasing by 2 each time.

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Answer:

Work=Force×Displacement

Force=Force¤

Force cos 75°

Force=26×1/4=6.5N

Answer:

Step-by-step explanation:

x cos(75) + x sin(75) = 26 newton

x ( cos(75) + sin(75) ) = 26

x = 26/ (cos75 + sin75) = 26/1.225 = 21.229

vertical component is 21.229 x sin75 = 20.5055 newton.