Which of the following equations has the same solutions as x^2+8x+2=0

Salma bought 32 ounces of strawberries and the price in dollars per ounce of each strawberries is 0.45

In this question, Salma bought two pounds of strawberries for $14.40

We need to find the price, in dollars per ounce of strawberries

We know that 1 pound = 16 ounces

2 pounds of strawberries = 2 × 16 ounces of strawberries

                                          = 32 ounces of strawberries

By unitary method, the required price is,

14.40 ÷ 32 = 0.45 dollars per ounce

Therefore, Salma bought 32 ounces of strawberries and the price in dollars per ounce of each strawberries is 0.45

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Answer:

1. 9 toenails

2. 5 gallons

Step-by-step explanation:

Answer:

#1. 9 toenails were ripped off

#2. 5 gallons of milk

Step-by-step explanation:

(the questions are weird btw)

for number one

4 toenails + 5 toenails = 9 toenails

For number 2

2 gallon + 3 gallon = 5 gallon

The null hypothesis is \(H_0:\mu=3\) and the alternative hypothesis is \(H_1:\mu > 3\)

There are two hypothesis considered in a statistical test. They are:

Formulation of null and alternative hypothesis are considered as the first step of a statistical procedure. The whole procedure, then, continues on testing whether to accept or reject these hypotheses.

Null Hypothesis is the actual hypothesis which is tested. Alternative hypothesis, as its name suggests, is the hypothesis accepted when the null hypothesis is rejected in the test carried out.

Here the sociologist is carrying out the test on the mean number of cars, \(\mu\).

So to check whether the families own more than 3 cars in average,

the null hypothesis will be ,\(\bold{H_0:\mu=3}\)  

and the alternate hypothesis will be,  \(\bold{H_1:\mu > 3}\)

So if the null hypothesis is rejected, then there is the possibility for only more than 3 cars in average.

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Answer:

the answers are a and c

Step-by-step explanation:

to find the proportions used, you would do 8/3 or 5/a, which are equal, so that gives c.

now, pretend that the second triangle is the original and the second one is the copy (proportionately). then, to find the proportions, you would do 3/8 or a/5, which gives you a.

excuse the english, i learned this in french, i hope it helps!!

Answer:

I can't read this

Step-by-step explanation:

Solving for Cartesian product n(B), we have n(B) = 72 / 24 = 3.

The Cartesian product is a mathematical operation that takes two sets and produces a set of all possible ordered pairs of elements from both sets.

In other words, if A and B are two sets, their Cartesian product (written as A × B) is the set of all possible ordered pairs (a, b) where a is an element of A and b is an element of B.

For example, if A = {1, 2} and B = {3, 4}, then A × B = {(1, 3), (1, 4), (2, 3), (2, 4)}.

By the question.

We know that n (Ax B) represents the number of elements in the set obtained by taking the Cartesian product of sets A and B.

Using the formula for the size of the Cartesian product, we have:

n (Ax B) = n(A) x n(B)

Substituting the given values, we get: 72 = 24 x n(B)

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Answer:

   10^n, where n is an odd number between 1 and 10.

   Expanded form: 10 × 10 × 10 ... (n times). Standard form: 10^n.

Step-by-step explanation:

An exponential expression has a base and an exponent. In this case, the base is 10 and the exponent is an odd number between 1 and 10. The expression can be written as 10^n, where n is the odd exponent between 1 and 10.

To write the expression in expanded form, we simply multiply the base 10 by itself n times, where n is the odd exponent. For example, if n is 3, then the expanded form would be 10 × 10 × 10.

To write the expression in standard form, we simply write it as 10 raised to the power of n, which is 10^n.

Answer:

not sure how to make it to stimulate the new system

The given statement is true all else being equal, the further the t statistic falls from 0, either in the positive or negative direction, the more likely it is that the difference between two population averages is statistically significant.  

The T Statistic is used in a T test when you are deciding if you should support or reject the null hypothesis. It’s very similar to a Z-score and you use it in the same way: find a cut off point, find your t score, and compare the two. You use the t statistic when you have a small sample size, or if you don’t know the population standard deviation.

Here we have the statement All else being equal, the further the t statistic falls from 0, either in the positive or negative direction, the more likely it is that the difference between two population averages is statistically significant.

And we need to identify whether the statement is true or not.

As per the definition of t statistics, we have identified that the t statistic falls from 0. which states that is goes on the negative direction.

Hence, the more likely it is that the difference between two population averages is statistically significant.

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Answer:

75%

Step-by-step explanation:

Use 'Percent(age) Composition'

1. (18/24) = 0.75 This shows that 0.75/1 students reads during their free time.

2. 0.75 x (100) = 75% This step is to allow the value we received above to be displayed as a percentage.

75% of students enjoy reading in their spare time.

Answer:

To find the "Unit rate" you need to find the price for one ounce.  So, you need to divide 1.29 by 20.

When you do this you get the following decimal

0.0645

Since we are talking about money, we are often expected to round to the nearest cent.  So the cost-per-unit is $.06

Answer:

Option (B) 0.00076

Step-by-step explanation:

Surface area of a sphere = 4πr²

Volume of a sphere = 4π/3 (r³)

Surface area : Volume = 4πr² : 4π/3 (r³)

                                      = r² : 1/3 (r³)

                                      = 3 r² : r³

                                      = 3/r

                                      = 3/3960

                          (AFTER SIMPLIFICATION)

                                      = 0.00076

Hence the answer is option (B) 0.00076

Hope my answer help you ✌️

The correct option is B) 0.00076. The surface-area-to-volume ratio is 0.00076.

To find the approximate surface-area-to-volume ratio of the Earth with a radius of approximately 3,960 miles, we will use the following formulas:

Surface area (A) of a sphere: A = 4πr²
Volume (V) of a sphere: V = (4/3)πr³

Step 1: Calculate the surface area:
A = 4π(3,960)² ≈ 197,392,088 square miles

Step 2: Calculate the volume:
V = (4/3)π(3,960)³ ≈ 260,625,332,197 cubic miles

Step 3: Calculate the surface-area-to-volume ratio (A/V):
A/V ≈ 197,392,088 / 260,625,332,197 ≈ 0.000757

The best answer from the choices provided is B. 0.00076.

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\( \frac{5}{2x + 1} +\frac{8}{2x + 1}\)

\(= \frac{5 + 8}{2x + 1} \)

\(= \frac{13}{2x + 1} \)

Answer:

A. 1/6

B. 1

Step-by-step explanation:

A. 9/j x j/54= 9/54 = 1/6

B. 6k/8m : 3k/4m = 6k/8m : 4m / 3k = 2/2 =1

Answer:

a. 3/2

b. 1

Step-by-step explanation:

A. To simplify the expression, we can cancel out the common factor of j:

9/j * j/54 = (9/1 * 1/6) = 3/2

Therefore, 9/j * j/54 simplifies to 3/2.

B. To divide fractions, we can multiply the first fraction by the reciprocal of the second fraction. That is,

(a/b) ÷ (c/d) = (a/b) x (d/c)

Using this rule, we can simplify the given expression as follows:

6k/8m ÷ 3k/4m = (6k/8m) x (4m/3k)

             = (6/8) x (4/3)  

             = 2/2

             = 1

We see BC is in the middle of the lines AB and BD, therefore mABC + mCBD = mABD.

We're given mABD = 75, mABC = 40.

Therefore, mCBD = mABD - mABC = 75 - 40 = 35.

Answer:

∠CBD = 35°

Step-by-step explanation:

We are told in the question that m∠ABD = 75° and m∠ABC = 40°. We are then asked what the value of m∠CBD is.

As we can see from the diagram, ∠ABD is made up of the angles ABC and CBD. Therefore:

∠ABD = ∠ABC + ∠CBD

⇒ 75° = 40° + ∠CBD

⇒ 75° - 40° = 40° + ∠CBD - 40°       [

⇒ 35° = ∠CBD

∴ ∠CBD = 35°

Answer:

Triangle I think

Step-by-step explanation:

Answer:

Step-by-step explanation:

triangle

the formula to determine the magnitude of a vector (in two dimensional space) v = (x, y) is: |v| =√(x2 + y2). This formula is derived from the Pythagorean theorem.

the formula to determine the magnitude of a vector (in three dimensional space) V = (x, y, z) is: |V| = √(x2 + y2 + z2)

Answer:

\(\frac{27y^6}{8x^{12}}\)

Step-by-step explanation:

1) Use Product Rule: \(x^ax^b=x^{a+b}\).

\((\frac{3x^{-5+2}{y^3}}{2z^0yx}) ^3\)

2) Use Negative Power Rule: \(x^{-a}=\frac{1}{x^a}\).

\((\frac{3\times\frac{1}{x^3} y^3}{2x^0yx} )^3\)

3) Use Rule of Zero: \(x^0=1\).

\((\frac{\frac{3y^3}{x^3} }{2\times1\times yx} )^3\)

4) use Product Rule: \(x^ax^b=x^{a+b}\).

\((\frac{3y^3}{2x^{3+1}y} )^3\)

5) Use Quotient Rule: \(\frac{x^a}{x^b} =x^{a-b}\).

\((\frac{3y^{3-1}x^{-4}}{2} )^3\)

6) Use Negative Power Rule: \(x^{-a}=\frac{1}{x^a}\).

\((\frac{3y^2\times\frac{1}{x^4} }{2} )^3\)

7) Use Division Distributive Property: \((\frac{x}{y} )^a=\frac{x^a}{y^a}\).

\(\frac{(3y^2)^3}{2x^4}\)

8) Use Multiplication Distributive Property:  \((xy)^a=x^ay^a\).

\(\frac{(3^3(y^2)^3}{(2x^4)^3}\)

9) Use Power Rule: \((x^a)^b=x^{ab}\).

\(\frac{27y^6}{(2x^4)^3}\)

10)  Use Multiplication Distributive Property:  \((xy)^a=x^ay^a\).

\(\frac{26y^6}{(2^3)(x^4)^3}\)

11) Use Power Rule: \((x^a)^b=x^{ab}\).

\(\frac{27y^6}{8x^12}\)

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Answer:

\(\displaystyle \frac{27y^{6}}{8x^{12}}\)

Step-by-step explanation:

\(\displaystyle \biggr(\frac{3x^{-5}y^3x^2}{2z^0yx}\biggr)^3\\\\=\biggr(\frac{3x^{-5}y^2x}{2}\biggr)^3\\\\=\frac{(3x^{-5}y^2x)^3}{2^3}\\\\=\frac{3^3x^{-5*3}y^{2*3}x^3}{8}\\\\=\frac{27x^{-15}y^{6}x^3}{8}\\\\=\frac{27y^{6}x^3}{8x^{15}}\\\\=\frac{27y^{6}}{8x^{12}}\)

Notes:

1) Make sure when raising a variable with an exponent to an exponent that the exponents get multiplied

2) Variables with negative exponents in the numerator become positive and go in the denominator (like with \(x^{-15}\))

3) When raising a fraction to an exponent, it applies to BOTH the numerator and denominator

Hope this helped!

Venn diagram:

The percentage of students that studied mathematics = 25%
The percentage of students that studied electronics = 20%
The percentage of students that studied Communications = 55%
The percentage of students that studied both electronics and Communications subjects = 10%

P(studied Communications or electronics or both subjects)
= P(studied Communications) + P(studied electronics) - P(studied both electronics and Communications subjects)
= 55% + 20% - 10%
= 65%

Therefore, the probability that a student studied Communications or electronics or both subjects is 65%.

P(studied mathematics and Communications subjects)
= P(studied mathematics) × P(studied Communications)
= 25% × 55%
= 13.75%

Therefore, the probability that a student studied mathematics and Communications subjects is 13.75%.

Drawing a Venn diagram, we have 25% studying Mathematics (M), 20% studying Electronics (E), and 55% studying Communications (C).10% studied both Electronics and Communications.

Therefore, the percentages become as follows: M = 25% - 10% = 15% E = 20% - 10% = 10% C = 55%.

Part 2 - To obtain the probability that a student studied Communications or Electronics or both subjects

P(Communication or Electronics) = P(Communication) + P(Electronics) - P(Communication and Electronics) = 55% + 20% - 10% = 65%.

The probability that a student studied Communications or Electronics or both subjects is 65%.

Part 3 -To obtain the probability that a student studied Mathematics and Communications subjects,

P(Mathematics and Communications) = P(Mathematics) * P(Communications) = 25% * 55% = 13.75%.

The probability that a student studied Mathematics and Communications subjects is 13.75%.

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To determine whether the normal quantile plot depicts sample data from a population with a normal distribution, you should visually inspect the plot. If the data points fall approximately along a straight line without any noticeable curvature.

To examine the normal quantile plot and determine whether it depicts sample data from a population with a normal distribution, we need to understand the characteristics of a normal quantile plot and interpret its visual patterns.

A normal quantile plot, also known as a Q-Q plot (quantile-quantile plot), is a graphical tool used to assess the normality of a dataset. It compares the quantiles of the observed data against the quantiles of a theoretical normal distribution. If the data points fall approximately along a straight line, it suggests that the data is normally distributed. On the other hand, deviations from a straight line indicate departures from normality.

Here's how you can interpret a normal quantile plot:

1. Straight Line: If the plotted points form a straight line, it indicates that the data closely follows a normal distribution. The more closely the points align with the line, the stronger the evidence for normality.

2. Curvature: If the plotted points exhibit curvature, such as bending or bowing away from a straight line, it suggests departures from normality. Curvature may indicate skewness or heavy-tailedness in the data.

3. Outliers: Points that deviate significantly from the expected line can indicate outliers. Outliers might suggest the presence of extreme values or errors in the data.

4. S-shaped or Concave Shape: If the plotted points form an S-shaped curve or concave shape, it suggests a distribution that is not normal. This shape may indicate bimodal or multimodal distributions.

Therefore, to determine whether the normal quantile plot depicts sample data from a population with a normal distribution, you should visually inspect the plot. If the data points fall approximately along a straight line without any noticeable curvature, it suggests that the sample data follows a normal distribution. However, if there is significant curvature, the presence of outliers, or an S-shaped or concave shape, it suggests deviations from normality.

It's important to note that visual inspection alone may not provide a definitive conclusion. Statistical tests, such as the Shapiro-Wilk test or the Anderson-Darling test, can provide quantitative measures of normality. These tests evaluate the null hypothesis that the data comes from a normally distributed population.

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Answer:

x = - 3, x = 6

Step-by-step explanation:

x² - 3x - 18 = 0 ( add 18 to both sides )

x² - 3x = 18

To complete the square

add ( half the coefficient of the x- term )² to both sides

x² + 2(- \(\frac{3}{2}\) )x + \(\frac{9}{4}\) = 18 + \(\frac{9}{4}\)

(x - \(\frac{3}{2}\) )² = \(\frac{81}{4}\) ( take square root of both sides )

x - \(\frac{3}{2}\) = ± \(\sqrt{\frac{81}{4} }\) = ± \(\frac{9}{2}\) ( add \(\frac{3}{2}\) to both sides )

x = \(\frac{3}{2}\) ± \(\frac{9}{2}\)

Then

x = \(\frac{3}{2}\) - \(\frac{9}{2}\) = \(\frac{-6}{2}\) = - 3

x = \(\frac{3}{2}\) + \(\frac{12}{2}\) = 6

Answer:

x=3; x=-6

Step-by-step explanation:

and positve

In the given scenario the pairing is natural pairing, hence the samples are dependent because there is a natural pairing between the two samples.

A pairing function in mathematics is a technique to convert two natural numbers into one natural number while maintaining their uniqueness. Insets and rational numbers share the same attributes as natural numbers, which may be shown in set theory using any pairing function.

In the given situation, the pairing between the prior drug sample and later drug sample are conducted in the same men. The results will thus, be dependent as same men will be required for the research to be conducted, and the effect of the drug before will also be taken into consideration.

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To find a vector that is perpendicular to another vector, we can use the dot product. If the dot product of two vectors is zero, it means they are perpendicular.

Given that the projection of vector b onto vector a is vector C, we can write the projection equation as:

C = (b · a) / ||a||² * a

Let's calculate the values:

b = 3i + j - k

a = i + 2j

To find the dot product of b and a, we take the sum of the products of their corresponding components:

b · a = (3i + j - k) · (i + 2j)

      = 3i · i + 3i · 2j + j · i + j · 2j - k · i - k · 2j

      = 3i² + 6ij + ji + 2j² - ki - 2kj

Since i, j, and k are orthogonal unit vectors, we have i² = j² = k² = 1, and ij = ji = ki = 0.

Therefore, the dot product simplifies to:

b · a = 3(1) + 6(0) + 0(1) + 2(1) - 0(1) - 2(0)

      = 3 + 2

      = 5

Now, let's calculate the squared magnitude of vector a, ||a||²:

||a||² = (i + 2j) · (i + 2j)

       = i² + 2ij + 2ji + 2j²

       = 1 + 0 + 0 + 2(1)

       = 3

Finally, we can calculate the vector C:

C = (b · a) / ||a||² * a

 = (5 / 3) * (i + 2j)

 = (5/3)i + (10/3)j

Now, we need to find a vector that is perpendicular to b - C.

b - C = (3i + j - k) - ((5/3)i + (10/3)j)

      = (9/3)i + (3/3)j - (3/3)k - (5/3)i - (10/3)j

      = (4/3)i - (7/3)j - (3/3)k

      = (4/3)i - (7/3)j - k

To find a vector perpendicular to b - C, we need a vector that is orthogonal to both (4/3)i - (7/3)j - k.

The vector that fits this condition is option (E) i + k.

Therefore, the vector (E) i + k is perpendicular to b - C.

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Answer:

1) supplementary angles

2) corresponding angles

3) corresponding angles

4) same-side exterior angles

5) corresponding angles

6) supplementary angles

7) 140°

8) 140°

Mark as brainliest please

Done!

After rotating 90 degrees anticlockwise, B's new coordinates are (y, -x).

By switching the x and y coordinates and negating the new x coordinate, we can rotate a point (x, y) 90 degrees clockwise around the origin.

After rotating the triangle 90 degrees anticlockwise around the origin, note the new coordinates of B.

Let (x, y) be point B's coordinates.

Fllowing a 90° anticlockwise turn:

B'x, the modified x coordinate, will now be y.

B'y, the modified y coordinate, will now be -x.

Therefore, B's new coordinates are (y, -x).

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The value of the car in 8 years after it has depreciated is $8,348.

To find the value of the car in 8 years, we can use the formula for the future value of a depreciating asset:

future value = original value * (1 - rate of depreciation)^number of years

In this case, the original value is $18,000, the rate of depreciation is 12% per year (or 0.12), and the number of years is 8. Plugging these values into the formula, we get:

future value = 18,000 * (1 - 0.12)^8

future value = 18,000 * 0.4630

future value = $8,348

So the value of the car in 8 years is $8,348.

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\( \fbox{(2,5)}\)

Hello, substitute all the given coordinates & see if RHS match with LHS

given equation,

y = 4x-3

First coordinate,

(x,y) = (2,5)

5= 4×2-3

5=5

Hence, first solution satisfies the given equation,

let's solve for rest other cordinates,

second coordinate,

(x,y) = (5,5)

5= 4×5-3

5 ≠ 17

does not satisfy,

third coordinate,

(x,y) = (4,5)

5= 4×4-3

5 ≠ 13

does not satisfy,

fourth coordinate,

(x,y) = (4,5)

5 = 4×3-3

5 ≠ 9

does not satisfy.

Hence the correct answer is (2,5)

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The formula for the final velocity,\(v_{f}\) , in terms of initial velocity, vi, acceleration, a, and time, t is given by \(V_{f}=at+V_{i}\)

A =\((V_{f}-V_{i} )/t\)  You can put \(1\) under A and then cross multiply.

\(at =V_{f} -V_{i}\)

Get \(V_{f}\)  by adding  \(V_{i}\) in both sides of the equation.

\(at+V_{i} =V_{f}\)

                                                OR

The final speed \(V_{f}\) in terms of other parameters is given by the relation \(V_{f}\)\(=at+V_{i}\)

How to calculate the acceleration of an object?

Mathematically, acceleration is calculated using this formula:

\(a=(V_{f}-V_{i} )/t\)

Where:

Making \(V_{f}\) the subject of the formula, we have:

\(at =V_{f} -V_{i}\)

\(V_{f} =V_{i} +at\)

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