Ms. Estrada plans to take 36 chocolate chip cookies to sell at a bake sale. She wants to bake enough to keep at least 24 cookies for her cookie jar at home.
Let x represent how many chocolate chip cookies Ms. Estrada will bake. Which inequality describes the problem?

Given statement solution is :- The value of the number is -1/9.

Let's solve the problem step by step.

Let's assume the number we're looking for is represented by the variable "x".

The problem states that the sum of 9 times the number (9x) and 7 is equal to 6. We can write this as an equation:

9x + 7 = 6

To isolate the variable "x," we need to move the constant term (7) to the other side of the equation. We can do this by subtracting 7 from both sides:

9x + 7 - 7 = 6 - 7

This simplifies to:

9x = -1

Finally, to solve for "x," we divide both sides of the equation by 9:

9x/9 = -1/9

This simplifies to:

x = -1/9

So, the value of the number is -1/9.

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Answer:

  53.52°

Step-by-step explanation:

The cosine function relates the angle to the sides shown:

  Cos = Adjacent/Hypotenuse

  cos(x°) = (22 ft)/(37 ft) = 22/37

The inverse cosine function is used to find the corresponding angle.

  x° = arccos(22/37) ≈ 53.52°

Answer:

259.5

Step-by-step explanation:

8.1*12=97.2
Area of trapiezium = 1/2(b+a)h
(2.8+8.1)=10.9
10.9*3/2=16.35
16.35*2=32.7
2.8*12=33.6
33.6+32.7+97.2=163.5
4*12*2=96
163.5+96=259.5

For the function f(x) = 2x³ + 3x² - 12x, there are no local minimum or maximum values.

To find the intervals where the function is increasing or decreasing, we need to examine the sign of the derivative of f(x). Taking the derivative of f(x), we have:

f'(x) = 6x² + 6x - 12

Setting f'(x) equal to zero and solving for x, we can find the critical points of the function:

6x² + 6x - 12 = 0

Dividing both sides by 6, we have:

x² + x - 2 = 0

Factoring the quadratic equation, we get:

(x + 2)(x - 1) = 0

This gives us two critical points: x = -2 and x = 1.

Next, we can create a sign chart for f'(x) using the critical points and test points within each interval. By analyzing the sign chart, we find that:

- f(x) is increasing on the interval (-∞, -2) ∪ (1, ∞)

- f(x) is decreasing on the interval (-2, 1)

To find the local minimum and maximum values of f(x), we can evaluate the function at the critical points and endpoints of the intervals. From the sign chart, we observe that there is no local minimum or maximum value, as the function is either increasing or decreasing throughout the entire domain.

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Answer:

2x+1

Step-by-step explanation:

11+3x- (-x)= 11+4x

4x+12-4x+11= 1

hope this helps and if you want please consider giving me brainliest.

Answer:1

Step-by-step explanation:

(11+3x)-(-x)=11+4x

(12+4x)-(11+4x)=1

Answer:

1) just make an equation (answer below)

SO the new bottle is 30 ounces

The old bottle was 25 percent more then the new one

So we can just find 25 percent of 30

And add it

That is the most simple way but I would just do

30*1.25 Its the same thing but if you think a bout ti, the new bottle can Only hold 30 ounces, 30 ounces is 100 percent of the new bottle, if you multiply 1.25 its adding 25 percent so it Turns a 2 step into a 1 step.

1.25*30=37.5

The larger bottle was 37.5 ounces

The probability of missing both throws is 0.3 × 0.1 = 0.03. Subtracting 0.03 from 1,

The probability of making at least one successful throw can be found by finding the probability of missing both throws and subtracting it from 1. The probability of missing the first throw is 0.3, so the probability of making the first throw is 0.7.

If the first throw is missed, the probability of missing the second throw is 0.1. Therefore, the probability of missing both throws is 0.3 × 0.1 = 0.03. Subtracting 0.03 from 1, the probability of making at least one successful throw is 0.97.

Therefore, the probability of making at least one successful throw is 0.97 or 97%. This means that there is a high chance that the quarterback will make at least one successful throw before his team is forced to punt the ball.

The calculation shows that even if the quarterback misses the first throw, he still has a high probability of making the second throw, which increases the probability of making at least one successful throw.

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Answer:

C

Step-by-step explanation:

At 4 hours they have the same amount.

James will fully clear the loan after approximately 12 years when the remaining balance reaches zero.

To determine the number of years it will take for James to fully clear the loan, we need to calculate the remaining balance after each payment and divide the initial loan amount by the annual payment until the remaining balance reaches zero.

The loan amount is 9000 euros, and James pays off 770 euros each year. Since the interest is charged at a rate of 3% of the original amount per annum, the interest for each year will be \(0.03 \times 9000 = 270\) euros.

In the first year, James pays off 770 euros, and the interest on the remaining balance of 9000 - 770 = 8230 euros is \(8230 \times 0.03 = 246.9\)euros. Therefore, the remaining balance after the first year is 8230 + 246.9 = 8476.9 euros.

In the second year, James again pays off 770 euros, and the interest on the remaining balance of 8476.9 - 770 = 7706.9 euros is \(7706.9 \times 0.03 = 231.21\) euros. The remaining balance after the second year is 7706.9 + 231.21 = 7938.11 euros.

This process continues until the remaining balance reaches zero. We can set up the equation \((9000 - x) + 0.03 \times (9000 - x) = x\), where x represents the remaining balance.

Simplifying the equation, we get 9000 - x + 270 - 0.03x = x.

Combining like terms, we have 9000 + 270 = 1.04x.

Solving for x, we find x = 9270 / 1.04 = 8913.46 euros.

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An object initially has a temperature of 26°F and is placed in a room that has a different temperature (possibly "meatu 17" refers to a temperature of 17°C or 17°F).

The temperature of the object will change over time, eventually reaching equilibrium with the room temperature. The rate at which the temperature changes depends on various factors, such as the object's material and the surrounding environment. The rate at which heat is transmitted is inversely correlated with the rate at which temperature varies. If heat is transported at a fast pace or a low rate, the temperature of a sample changes more quickly, and vice versa.

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For the following scenario where a researcher wanted to test the ratings of three different brands of paper towels with 7 reviewers each, you would utilize Friedman's rank test.

For the given scenario, the appropriate test to use would be the Friedman's rank test. This is because we have three different brands of paper towels, and each brand is rated by 7 reviewers.

The Friedman's test is used to determine if there are significant differences among the groups in a repeated measures design, where the same individuals are rated on multiple occasions. Therefore, it is the appropriate test for this scenario where the ratings are collected from multiple reviewers for each brand.

This test is also appropriate because there are more than two related groups being compared (three brands of paper towels), and the data is likely ordinal (ratings). The Wilcoxon sign rank test is typically used when comparing only two related groups.

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Answer:cottontail

The answer is:You​ shouldn't expect to get exactly 5000​ heads, because you cannot predict precisely how many heads will occur.

However, according to the law of large numbers, the frequencies of events with the same likelihood of occurrence even out, given enough trials or instances.

For example, in the case of  a fair coin, where both head and tail have equal probability of occurrence, as the number of tosses becomes sufficiently large (say 1 million tosses), the ratio heads to tails in the outcome will be extremely close to 1:1.

So according to the law, we should expect to approach a point where half of the outcomes are heads and the other half are tails, as the number of tosses become very large.

Step-by-step explanation:

hope this helps

The perimeter of the rectangle is the length of the boundary of the perimeter of the rectangle. The perimeter of the rectangle is 2(√29+√10).

The perimeter of the rectangle is the length of the boundary of the perimeter of the rectangle.

In order to find the perimeter of the rectangle, we need to find the third side(Hypotenuse) of each triangle, therefore,

In ΔA,

\((Hypotenuse)^2 =(Perpendicular)^2+(Base)^2\)

\(GF^2 = 3^2+1^2\\GF=\sqrt{10}\)

In ΔB,

\((Hypotenuse)^2 =(Perpendicular)^2+(Base)^2\)

\(EF^2 = 2^2+5^2\\EF=\sqrt{29}\)

In ΔC,

\((Hypotenuse)^2 =(Perpendicular)^2+(Base)^2\)

\(GH^2 = 2^2+5^2\\GH=\sqrt{29}\)

In ΔD,

\((Hypotenuse)^2 =(Perpendicular)^2+(Base)^2\)

\(EH^2 = 3^2+1^2\\EH=\sqrt{10}\)

Now, the perimeter of the rectangle is,

\(Perimeter\ EFGH = EF+ GF + GH +EH\)

                              \(=\sqrt{29}+\sqrt{10}+\sqrt{29}+\sqrt{10}\\\\=2\sqrt{29}+2\sqrt{10}\\\\=2(\sqrt{29}+\sqrt{10})\)    

hence, the perimeter of the rectangle is 2(√29+√10).

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The surface area of the  gas tank capsule represented to 1 dp is about 9079.2 cm²

The surface area of a solid object is the area of all the faces of the object.

Part of the dimension of the gas tank obtained from a similar question on the website is; Total length of the gas tank = 85 cm

Therefore;

Radial length of the tank = (85 cm - 51 cm)/2 = 17 cm

The surface area of the tank can be found as the surface area of a composite figure. The extreme right and left part of the tank together form a sphere, while the middle portion is a cylinder. Therefore, we get;

Surface area = 4 × π × 17² + 2 × π × 17 × 51 = (1734 + 1156) × π = 2890·π

Surface area of the figure = 2890·π cm² ≈ 9079.2 cm²

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The statement is true. If we take any two distinct prime numbers, and the number "1", these numbers will always be pairwise relatively prime.

Two numbers are said to be pairwise relatively prime if their greatest common divisor (GCD) is equal to 1. In this case, since we are considering distinct prime numbers, their GCD will always be 1 since prime numbers have no common factors other than 1 and themselves. Therefore, any two distinct prime numbers will be relatively prime.

Similarly, when we consider the number "1", it is relatively prime to any other number because its only divisor is 1. Hence, when "1" is paired with any prime number, the GCD will be 1.

In summary, whether we consider two distinct prime numbers or pair them with the number "1", the resulting numbers will always be pairwise relatively prime.

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Answer:

Alex's circular, fenced-in section has an area of 390 m².

Step-by-step explanation:

Its a circle based fence which has circumference of 70 meters.

so here 2πr = 70

            radius = (70/2π)

            radius = 11.14 meters.

so here area: πr²

                  →  π * 11.14 * 11.14

                  →   390 m²

Answer:

x = -6

Step-by-step explanation:

x - 2 = x (4) + 16

x - 2 = 4x + 16

4x - x = -2 - 16

3x = -18

3/3 x = -18/3

x = -6

The trigonometric form of 9(cos 20°+i sin 20°)/5(cos 75 i sin 75°) is 9/5 (cos 305° + I sin 305°). So, the correct option is option 2. 9/5 (cos 305° + I sin 305°).

To find 9(cos 20°+i sin 20°)/5(cos 75°+i sin 75°) and write the result in trigonometric form, we will use the division property of complex numbers in polar form:

(9(cos 20°+i sin 20°))/ (5(cos 75°+i sin 75°)) = (9/5) * ((cos 20° + i sin 20°)/(cos 75° + i sin 75°))

To divide complex numbers in polar form,

we divide their magnitudes and subtract their angles:

Magnitude: 9/5
Angle: 20° - 75° = -55°

So, the result is:

9/5 (cos(-55°) + i sin(-55°))

However, we can also write the angle in the positive equivalent:

9/5 (cos(305°) + i sin(305°))

Thus, the answer is: 9/5 (cos 305° + I sin 305°).

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The measures in the circle given in the image above are calculated as:

1. m<PSQ = 130°;   2. m<AQS = 30°; 3. m(QR) = 100°; 4. m(PS) = 110°; 5. (RS) = 70°.

In order to find the measures in the circle shown, recall that according to the inscribed angle theorem, the measure of intercepted arc is equal to the central angle, but is twice the measure of the inscribed angle.

1. m<PSQ = m<PAQ

Substitute:

m<PSQ = 130°

2. Find m<PBQ:

m<PBQ = 1/2(m(PQ) + m(RS)) [based on the angles of intersecting chords theorem]

Substitute:

m<PBQ = 1/2(130 + 2(35))

m<PBQ = 100°

m<AQS = 180 - [m<BAQ + m<PBQ]

Substitute:

m<AQS = 180 - [(180 - 130) + 100]

m<AQS = 30°

3. m(QR) = m<QAR

Substitute:

m(QR) = 100°

4. m(PS) = 180 - m(RS)

Substitute:

m(PS) = 180 - 2(35)

m(PS) = 110°

5. m(RS) = 2(35)

m(RS) = 70°

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Here,

Let the first term be denoted by a and commom difference by b.

Now,

T1 = a

= 7/9

T13 = a + 12 d

or, 4/5 = 7/9 + 12d

or 12d = 4/5 -7/9

or, 12d = 1/45

or, d = 1/410.

then,

T7= a + 6d

= 7/9 + 1/410

= 2879/2870

Please check the answer and tell me whether it is correct or not.

A real number b is a lower bound for the real zeros of f when no real zeros are less than b, and is an upper bound when no real zeros are greater than b.

A real number b is a lower bound for the real zeros of a function f when no real zeros are less than b. In other words, if a real number b is a lower bound, it means that all the real zeros of the function f are greater than or equal to b. So, b sets a limit or boundary below which no real zeros exist.

Similarly, a real number b is an upper bound for the real zeros of a function f when no real zeros are greater than b. If b is an upper bound, it means that all the real zeros of the function f are less than or equal to b. Therefore, b establishes a limit or boundary above which no real zeros exist.

These bounds help us understand the possible range of values for the real zeros of a function and provide information about where the real zeros may lie.

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Answer: 170

Step-by-step explanation:

275-105

Answer:

x= 107.3-51

56.3

Step-by-step explanation:

Equation: First define your variables. We'll say x= the second number.

So we can make our equation x= 107.3-51

107.3-51 is 56.3.

So the solution is 56.3

Answer:

56.3 i the second angle

Step-by-step explanation:

107.3=x+51

subtract 51

56.3 is the second angle

Answer:

  add the values of the symbols or symbol pairs

Step-by-step explanation:

You want to know how to convert Roman Numerals to decimal numbers.

The symbols used in Roman Numerals are {I, V, X, L, C, D, M}. Respectively, they have values {1, 5, 10, 50, 100, 500, 1000}. The values of these symbols are multiplied by 1000 by an overline.

A number can be converted to decimal by working right to left. In general, the value of a symbol is added to the total. When a symbol of lesser value than the previous one is encountered, its value is subtracted. (Usually, the value being subtracted is a power of 10.)

Aliases exist. Without knowledge of the rules the Romans used for writing their numbers, we can invent numbers that can be written two or more ways:

  1950 = MLM = MCML

As we noted above, the form MLM = 1950 would probably not be used, since the subtracted L is not a power of 10.

We expect that 1999 would likely be written MCMXCIX, rather than MIM. That way, the character being subtracted is not less than 10% of the character it is subtracted from.

__

Additional comment

Use of an overline is not the only way that the system is extended to higher values. Different notations are found in different contexts.

The basic idea of Roman Numerals is to express value by the character used, rather than its location in a number. It is not a "place value" system.

There is no zero. There are no negative numbers.

The reference to "symbol pairs" in the Answer section above is to recognize a pair of symbols in which the one on the left is subtracted.

Joanne's plan pays $2400 for her July losses, as she is responsible for 20% of the covered expenses during that month.

Joanne's health insurance plan with a $1000 deductible, 80% coinsurance, and a $5000 out-of-pocket cap requires her to pay for her medical expenses until she reaches the deductible.

After reaching the deductible, she is responsible for 20% of the covered expenses, up to the out-of-pocket cap. The plan pays the remaining percentage of covered expenses.

To calculate how much the plan pays for Joanne's July losses, we need to consider her deductible, coinsurance, and out-of-pocket cap.

In March, Joanne incurs $1000 in covered medical expenses.

Since this amount is equal to her deductible, she is responsible for paying the full amount out of pocket.

In July, Joanne incurs $3000 in covered expenses. Since she has already met her deductible, the coinsurance comes into play.

According to the plan's coinsurance rate of 80%,

Joanne is responsible for 20% of the covered expenses.

Therefore, Joanne is responsible for paying 20% of $3000, which is $600.

The plan will pay the remaining 80% of the covered expenses, which is $2400.

In December, Joanne incurs $30,000 in covered expenses. Since she has already met her deductible and reached her out-of-pocket cap, the plan pays 100% of the covered expenses.

Therefore, the plan will pay the full $30,000 for her December losses.

To summarize, Joanne's plan pays $2400 for her July losses, as she is responsible for 20% of the covered expenses during that month.

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Answer:

16 km per hour

Step-by-step explanation:

24÷1.5 = 16

Answer:

Step-by-step explanation:

I'm not doing all of them, so you can learn.

Here's the first three:

9. 6-12x

10. (and 11? dude u need to rephrase) x/(5(x+2))

1 )

\(volume = 20 \times 5 \times 8\)

\(volume = 800 \: \: {m}^{3} \)

\(surface \: \: area \: = 4 \times 20 \times 8\)

\(surface \: area \: \: = 640 \: \: {m}^{2} \)

_____________________________________________

2 )

\(v = 15 \times 3 \times 4\)

\(v = 180 \: \: {m}^{3} \)

\(s \: a \: = 4 \times 15 \times 4\)

\(s \: a \: = 240 \: \: {m}^{2} \)

_____________________________________________

3 )

\(v = ( \frac{1}{2} \times 4 \times 5) \times 10 \\ \)

\(v = 100 \: \: {m}^{3} \)

\(s \: \: a = (10 \times 5) + (10 \times 4) + (10 \times \sqrt{41} ) \\ \)

\(s \: a \: \: = 50 + 40 + 10 \sqrt{41} \)

\(s \: a \: \: = 90 + 10 \sqrt{41} \)

_____________________________________________

4 )

\(v = ( \frac{1}{2} \times 3 \times 4) \times 7 \\ \)

\(v = 42 \: \: \: {m}^{3} \)

\(s \: a \: \: = (3 \times 7) + (4 \times 7) + (5 \times 7)\)

\(s \: a \: \: = 21 + 28 + 35\)

\(s \: a \: \: = 84 \: \: \: {m}^{2} \)