(-2) + (3 - 7)
(-1) * (-2)

There are 300 grams in 1500 ml of the 20% solution.

We can use the concept of proportions to solve this problem.

A 20% solution contains 20 grams in 100 ml.

This means that for every 100 ml of solution, there are 20 grams of the solute.

To find out how many grams are in 1500 ml of the solution, we can set up a proportion:

20 grams/100 ml = x grams/1500 ml

where x is the number of grams in 1500 ml.

To solve for x, we can cross-multiply and simplify:

100x = 20 × 1500

100x = 30,000

x = 300 grams

Therefore, there are 300 grams in 1500 ml of the 20% solution.

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Answer:

Its C boys

Step-by-step explanation:

I graphed all of them and compared

The equation that could represent the graph of the parabola is (c) \(y = -2x^2 - 16x- 28\)

From the question, we have the following highlights

The second highlight above means that:

The x coordinate (h) of the vertex is negative, while the y-coordinate (k) is positive.

For a parabola: \(y = ax^2 + bx + c\), the vertex is:

\((h,k) = (-\frac{b}{2a},f(h))\)

Next, we test the options

(a) y = –2x2 + 3x – 5

We have:

\(h = -\frac{3}{-2 \times 2}\)

\(h = 0.75\)

The value of h is positive.

So, this cannot represent the parabola

(b) y = –2x2 – 4x – 2

We have:

\(h = -\frac{-4}{-2\times 2}\)

\(h = -1\)

Substitute -1 for x in the function

\(k = -2x^2 - 4x - 2\)

\(k = -2(-1)^2 - 4(-1) - 2\)

\(k = 0\)

The value of k cannot be 0

So, this cannot represent the parabola

(c) y = –2x2 – 16x– 28

We have:

\(h = -\frac{-16}{-2\times 2}\)

\(h = -4\)

Substitute -4 for x in the function

\(k = -2x^2 - 16x- 28\)

\(k = -2(-4)^2 - 16(-4)- 28\)

\(k=4\)

The x coordinate (h) of the vertex is negative, while the y-coordinate (k) is positive.

Hence, \(y = -2x^2 - 16x- 28\) could represent the parabola

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Answer:

6 millimeters

Step-by-step explanation:

All the sides on a square are equal and a square has four sides. For perimeter you add up all the sides which in this case have to add up to 24.

So, 6 + 6 + 6 + 6 = 24

Based on the limited information provided, it is not possible to definitively determine the type of economy in Country A. More specific details and factors would be necessary to make a conclusive determination.

Answer:

0.083

Step-by-step explanation:

151 divided by 1800 is 0.083

might be wrong WARNING

Answer:

3 1/10

Step-by-step explanation:

31/10 -> 31 ÷ 10 = 3 1/10

Answer:

\(\{P^2: P\ E\ Z\ and\ 1\leq p\leq 10\}\)

Step-by-step explanation:

Given

Range: = 1 to 100 (Inclusive)

Required

Determine the notation that represents the perfect square in the given range

Represent the range with P

P = 1 to 100

Such that the perfect squares will be P² and integers

In set notation, integers are represented with Z

The set notation becomes

\(\{P^2: P\ E\ Z\ and\ 1\leq p\leq 10\}\)

The \(\leq\) shows that 1 and 100 are inclusive of the set

Based on the supply graph and demand graph shown above, the price at the point of equilibrium is $ 30.

Demand refers to quantity of a commodity that the consumers are willing to, able to purchase at a given price during a given period of time. Supply refers to quantity of a commodity that the producers are willing to, able to offer for sale at a given price during a given period of time.

Demand curve slopes downward due to inverse relationship between price and quantity demanded whereas supply curve slopes upward due to direct relationship between quantity supplied and price. When both demand and supply curve intersect with each other balance is achieved. Intersection point between demand and supply curve is known as equilibrium.

At this point when prices are equal is known as equilibrium price and when quantiy demanded or supplied are equal it is known as equilibrium quantity. When we combine the given graph. Equilibrium is achieved at a point when price is equal to $ 30 and quantity is equal to 20 units.

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Answer: A/D/E

Step-by-step explanation:

2x + y = -5

-2x = y

2x = 4 - y

Answer:

18

Step-by-step explanation:

♡ The first answer is correct

♡ Please mark them BRAINIEST

♡ Hope this helps

♡ Have a beautiful day

Step-by-step explanation:

Centre of circle(h,k)=(1,-4)

radius of the circle(r)=2

Equation of the circle is,

(x-h)^2+(y-k)^2=r^2

(x-1)^2+(y+4)^2=2^2

x^2-2x+1+y^2+8y+16=4

x^2+y^2-2x+8y+13=0 is the req.equation of the circle.

Give brainliest

\(~~~~~~ \textit{Simple Interest Earned Amount} \\\\ A=P(1+rt)\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill & \$3000\\ r=rate\to 2.56\%\to \frac{2.56}{100}\dotfill &0.0256\\ t=years\dotfill &4 \end{cases} \\\\\\ A = 3000[1+(0.0256)(4)] \implies A=3000(1.1024)\implies A = 3307.2\)

Answer:

y = 7 is a horizontal line with slope 0

Any parallel line will also have slope 0

Step-by-step explanation:

Answer:

40

Step-by-step explanation:

If you take 15, and divide it by the 3 out of the 3/8 left, you get 5. You then multiply 5 by 8 to get the full amount of candies she had before sharing, 40.

I hope this helped!

Thanks!

Your friend in answering,

~Steve

Answer:

40.

Step-by-step explanation:

If 15 candies are the rest of 3/8, then the total candies were 40.

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:

B, because it goes up by 8 until the last of because the jump from 24 to 30 is 6

Answer:

0.4sqrt(38.6)=

2.49

Hope This Helps!!!

Answer:

The null and alternative hypothesis can be written as:

\(H_0: \pi_1-\pi_2=0\\\\H_a:\pi_1-\pi_2< 0\)

Step-by-step explanation:

This is a hypothesis test for the difference between proportions.

The claim is that the proportion of 18- to 34-year-old Americans that own a cell phone is less than the proportion of 35- to 49-year-old Americans.

This claim will be reflected in the alternnative hypothesis, that will state that the population proportion 1 (18 to 34) is significantly smaller than the population proportion 2 (35 to 49).

On the contrary, the null hypothesis will state that the population proportion 1 is ot significantly smaller than the population proportion 2.

Then, the null and alternative hypothesis can be written as:

\(H_0: \pi_1-\pi_2=0\\\\H_a:\pi_1-\pi_2< 0\)

The significance level is assumed to be 0.05.

The sample 1, of size n1=200 has a proportion of p1=0.63.

\(p_1=X_1/n_1=126/200=0.63\)

The sample 2, of size n2=175 has a proportion of p2=0.68.

\(p_2=X_2/n_2=119/175=0.68\)

The difference between proportions is (p1-p2)=-0.05.

\(p_d=p_1-p_2=0.63-0.68=-0.05\)

The pooled proportion, needed to calculate the standard error, is:

\(p=\dfrac{X_1+X_2}{n_1+n_2}=\dfrac{126+119}{200+175}=\dfrac{245}{375}=0.653\)

The estimated standard error of the difference between means is computed using the formula:

\(s_{p1-p2}=\sqrt{\dfrac{p(1-p)}{n_1}+\dfrac{p(1-p)}{n_2}}=\sqrt{\dfrac{0.653*0.347}{200}+\dfrac{0.653*0.347}{175}}\\\\\\s_{p1-p2}=\sqrt{0.001132+0.001294}=\sqrt{0.002427}=0.049\)

Then, we can calculate the z-statistic as:

\(z=\dfrac{p_d-(\pi_1-\pi_2)}{s_{p1-p2}}=\dfrac{-0.05-0}{0.049}=\dfrac{-0.05}{0.049}=-1.01\)

This test is a left-tailed test, so the P-value for this test is calculated as (using a z-table):

\(\text{P-value}=P(z<-1.01)=0.1554\)

As the P-value (0.1554) is bigger than the significance level (0.05), the effect is not significant.

The null hypothesis failed to be rejected.

There is not enough evidence to support the claim that the proportion of 18- to 34-year-old Americans that own a cell phone is less than the proportion of 35- to 49-year-old Americans.

Step-by-step explanation:

(x-2)^2 + (y-9)^2   = r^2

this is of the form fora circle with center  h,k and radius r

(x-h)^2 + (y-k)^2 = r^2

for the equation given   center =   2, 9    and radius = r

The rental cost in dollars per square foot is $11,00

Cost of renting 1.250 square feet = $13, 750 per month

Rental cost per square foot = Total renting cost / total renting area

= $13, 750 per month / 1.250 square feet

= $11,000

Hence, $11,000 is the rental cost in dollars per square foot.

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The measurement that is between the heights of the two students is closest to 4.75 feet, which is answer choice A.

What is the average?

This is the arithmetic mean and is calculated by adding a group of numbers and then dividing by the count of those numbers. For example, the average of 2, 3, 3, 5, 7, and 10 is 30 divided by 6, which is 5.

The measurement that is between the heights of the two students is the average of their heights.

The average of 5.2 feet and 4.5 feet is:

(5.2 + 4.5)/2 = 4.85 feet

Hence, the measurement that is between the heights of the two students is closest to 4.75 feet, which is answer choice A.

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Answer:

0.45576

Step-by-step explanation:

z = (x-μ)/σ, where

x is the raw score

μ is the population mean

σ is the population standard deviation.

Standard Deviation = √variance

Mean = 50

= √9

= 3

z = 51 - 50/3

= 0.11111

Probability value from Z-Table:

P(x<51) = 0.54424

P(x>51) = 1 - P(x<51)

= 1 - 0.54424

= 0.45576

The probability that the dealer will sell 51 or more cars is 0.45576

By proving that ΔEAB and ΔFDC have congruent corresponding angles and proportional corresponding sides, we can conclude that ΔEAB ≅ ΔFDC.

Given:

- Triangle ΔAEB and ΔDFC

- Line ABCD is straight (implies AC and BD are collinear)

- AE is parallel to DF

- EB is parallel to FC

- AC = DB

To prove: ΔEAB ≅ ΔFDC

Recall that:

AE || DF

EB || FC

AC = DB

AE || DF, EB || FC (Parallel lines with transversal line AB)

Corresponding angles are congruent:

  ∠AEB = ∠DFC (Corresponding angles)

  ∠EAB = ∠FDC (Corresponding angles)

Corresponding sides are proportional:

  AE/DF = EB/FC (Corresponding sides)

  AC/DB = BC/DC (Corresponding sides)

  AC = DB

  BC = DC (Equal ratios)

ΔEAB ≅ ΔFDC (By angle-side-angle (ASA) congruence)

∠EAB = ∠FDC

∠AEB = ∠DFC

AC = DB, BC = DC

Therefore, by proving that ΔEAB and ΔFDC have congruent corresponding angles and proportional corresponding sides, we can conclude that ΔEAB ≅ ΔFDC.

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The common denominator represent the value  is X<2.7.

Get every x term on the right side and every constant term on the left to begin.

1/5+1/3 X>1/2 X-1/4

1/5+1/4+1/3 X>1/2 X

1/5+1/4>1/2 X-1/3 X

The two halves of a fraction are the numerator and the denominator. Any arithmetic operation involving two or more fractions, such as addition or subtraction, is possible if the denominators of the two fractions are the same. To this, the phrase "common denominator" relates.

When two fractions have the same denominator, we refer to them as having common denominators. Common denominators facilitate fractional operations like comparison, addition, and subtraction.

Give common denominators to the terms on each side now.

4/20+5/20>3/6 X-2/6 X

9/20>1/6 X

By multiplying both sides by 6, we may now.

27/10>X

2.7>X

Hence, the common denominator value is X<2.7.

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Answer:

n = - 4, - 3, - 2, - 1, 0, 1, 2

Step-by-step explanation:

Given

- 15 < 3n ≤ 6 ( divide the 3 intervals by 3 )

- 5 < n ≤ 2

Thus  n ≠ - 5 but n can equal the upper limit of 2

Hence

n = - 4, - 3, - 2, - 1, 0 , 1, 2

We can identify the data values with a frequency of 2 on the line plot, which are 3/16, 5/8, and 1/2.

A line plot is a visual representation of data that shows the frequency of values in a dataset. In the given line plot, we need to identify the data values that have a frequency of 2.

Firstly, we have a data value of 3/16 that has a frequency of 2. This means that the value 3/16 appears twice in the dataset.

Next, we have a data value of 5/8 that also has a frequency of 2. This means that the value 5/8 appears twice in the dataset.

Lastly, we have a data value of 1/2 that has a frequency of 2. This means that the value 1/2 appears twice in the dataset.

Therefore, the data values that have a frequency of 2 on the given line plot are 3/16, 5/8, and 1/2.

In addition to these, we have some other data values on the line plot. The data value of 4 appears only once, and the data values of 12 and 78 are not present on the line plot. Hence, we cannot determine their frequency from the given information.

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Answer:

5. Proofs attached to answer

Step-by-step explanation:

Proofs attached to answer

Answer:

4

Step-by-step explanation:

becouse is the rii asewei feel mw

Lindsay is more likely to think she sang more poorly than Nicole. It can be inferred that Lindsay is more likely to have negative self-evaluation despite the similar scores.

People with social anxiety disorder often have negative self-evaluations and experience intense self-consciousness in social situations, even if they have performed well. This can lead to feelings of shame, embarrassment, and low self-esteem.

So, even though Lindsay and Nicole received the same score, Lindsay's social anxiety disorder may cause her to believe that she performed poorly, despite receiving a high score. On the other hand, Nicole, not having social anxiety disorder, may be more likely to have a positive self-evaluation and feel confident about her performance, despite receiving the same score.

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Complete Question:

Both Lindsay and Nicole just completed a solo in a musical competition. The judges awarded them both 9 out of 10. Lindsay has a social anxiety disorder and Nicole does not. Based on this information,

____. what can be said?  

Answer:

Step-by-step explanation:

To approximate the probability using the normal distribution, we need to use the mean and standard deviation of the binomial distribution, which can be calculated as follows:

mean = n * p = 153 * 0.13 = 19.89

standard deviation = sqrt(n * p * (1 - p)) = sqrt(153 * 0.13 * 0.87) = 3.41

To use the normal distribution, we need to convert the discrete number of users (fewer than 10) to a continuous range of values. We can do this by subtracting 0.5 from 9.5 to get a range of 9 to 10. Then we use the cumulative distribution function of the standard normal distribution to find the probability of getting a value less than 10, as follows:

z = (10 - mean) / standard deviation = (10 - 19.89) / 3.41 = -2.88

P(Z < -2.88) = 0.002

Therefore, the approximate probability that fewer than 10 out of 153 software users will call technical support is 0.002 (rounded to four decimal places).