plz ive been stuck on this for an hour plzzz help?​

The two equations can be rearranged to get two equations with one variable on each side. The equations become 4a = -9 - 3b and 2a = -1 - 5b. By dividing both sides of the first equation by 4, the equation becomes a = -2.25 - 0.75b. Substituting this value of a into the second equation gives -4.5 - 3.75b = -1. Solving this equation for b gives b = 1.2.

4a + 3b = -9

2a + 5b = -1

4a = -9 - 3b

2a = -1 - 5b

a = -2.25 - 0.75b

-4.5 - 3.75b = -1

b = 1.2

a = -2.25 - 0.75(1.2)

a = -1.95

The given set of equations is a simultaneous equation. This means that both equations have the same two variables, a and b. To solve for a and b, we must rearrange the equations so that each equation has only one variable on one side. We can do this by subtracting 3b from the first equation and 5b from the second equation. This gives us the equation 4a = -9 - 3b and 2a = -1 - 5b.

Next, we divide both sides of the first equation by 4 to get a = -2.25 - 0.75b. We can then substitute this into the second equation to get -4.5 - 3.75b = -1. Solving this equation for b gives us b = 1.2. Finally, we can substitute this value of b back into the first equation to get a = -1.95. This means that the solutions for a and b are a = -1.95 and b = 1.2.

Learn more about equation here

https://brainly.com/question/29657992

#SPJ4

Answer:

Plato answer sample

Answer:

Angle

0°

45°

115°

210°

Step-by-step explanation:

When blotting dry a stained slide, rubbing it from side to side may cause the stain to smear or even be removed from the slide completely. This can result in the loss of important information that was being observed under the microscope.

Stains are used to enhance the contrast of the sample being observed and make it easier to distinguish different structures or cells. The stain is absorbed by the sample and binds to specific parts of the cell or tissue, providing a clearer image. However, these stains are often water-soluble and can easily be removed by excessive rubbing or wiping.
To avoid damaging the stained slide, it is important to blot the slide gently and in one direction. The best technique is to use a soft, lint-free cloth or paper towel and gently press down on the slide to remove excess liquid. Blotting the slide in this way will help to prevent the stain from smearing and will preserve the quality of the image.
In conclusion, rubbing a stained slide from side to side while blotting dry can cause the stain to smear or be removed completely, resulting in the loss of important information. To avoid damaging the slide, it is important to blot gently and in one direction using a soft, lint-free cloth or paper towel.

To leran more about stain, refer:-

https://brainly.com/question/14949270

#SPJ11

The independent variable of interest in an ANOVA procedure is called a factor. Hence (d).

The independent variable of interest in an ANOVA procedure is referred to as the factor. The factor represents the different categories or levels being compared to assess their impact on a dependent variable. It is the variable that is manipulated or controlled by the researcher to determine its effect on the outcome. In the context of ANOVA, the factor is typically a categorical variable that divides the data into distinct groups or treatments. These groups are compared to evaluate if there are statistically significant differences in the means of the dependent variable across the different levels of the factor. Therefore, the correct answer is factor(d).

Read more about ANOVA here: https://brainly.com/question/30459773

#SPJ11

The rate of change of the surface area when the radius is 6 inches and the height is 18 inches is 979.68 in² per minute.

Given:

radius of a right circular cylinder is increasing at a rate of 6 inches per minute, and the height is decreasing at a rate of 4 inches per minute.

we are asked to find the rate of change of the surface area when the radius is 6 inches and the height is 18 inches.

we have dr/dt = 6 in/min and dh/dt = -4 in/min

Volume, V = πr²h

Differentiate the above expression to get:

dV/dt = 2πrh dr/dt + πr² dh/dt

SUbstitute the value we get:

dV/dt = 2π(6)(18)(6) + π(6)²(-4)

= 4069.44 - 452.16

= 3617.28 in³ per minute.

The volume is increasing at a rate of  3617.28 in³ per minute.

Area = 2πr(h+r)

Differentiate the above expression:

dA/dt = 2π {(h+r) dr/dt + r (dh/dt + dr/dt)}

dA/dt = 2π {(18+6)(6) + 6(-4+6)}

= 2π(144 + 12)

= 312π

= 979.68 in² per minute.

The area is increasing at a rate of 979.68 in² per minute.

Learn more about Cylinder here:

https://brainly.com/question/9554871

#SPJ4

The rate of change of the surface area when the radius is 6 inches and the height is 18 inches is 979.68 in² per minute.

Given:

The radius of a right circular cylinder is increasing at a rate of 6 inches per minute, and the height is decreasing at a rate of 4 inches per minute.

We are asked to find the rate of change of the surface area when the radius is 6 inches and the height is 18 inches.

We have dr/dt = 6 in/min and dh/dt = -4 in/min

In geometry, it is defined as a three-dimensional shape having two circular shapes at a distance called the height of the cylinder.

We know the volume of the cylinder is given by:

Volume, V = πr²h

Differentiate the above expression to get:

dV/dt = 2πrh dr/dt + πr² dh/dt

Substitute the value we get:

dV/dt = 2π*6*18*6 + π*6² * -4

= 4069.44 - 452.16

= 3617.28 in³ per minute.

The volume is increasing at a rate of 3617.28 in³ per minute.

Area = 2πr(h+r)

Differentiate the above expression:

dA/dt = 2π {(h+r) dr/dt + r (dh/dt + dr/dt)}

dA/dt = 2π {(18+6)(6) + 6(-4+6)}

= 2π(144 + 12)

= 312π

= 979.68 in² per minute.

The area is increasing at a rate of 979.68 in² per minute.

To learn more about the cylinder here visit:

brainly.com/question/9554871

#SPJ4

Answer:48.9

Step-by-step explanation:

thank you, you too! :D

Answer:

Twenty sixth thousandth or point zero two six

Step-by-step explanation:

The two is in the thousandth place

The word form of the given decimal number is zero point zero two six.

Word form of a number is a way to write the number using words.

Example, the word form of the number nine thousand, three hundred twenty-five is 9,325.

The give  number is 0.026.

In expanded form: 0×1+0 ×1/10 +2×1/100 + 6×1/1000

= 0+0.02+0.006

In word form: 0.026 can be written as zero point zero two six

Therefore, 0.026 written in word form as zero point zero two six.

Learn more about the word form of a number here:

https://brainly.com/question/4937016.

#SPJ7

Answer:

No, because opposite sides aren't parallel.

Step-by-step explanation:I took the test

To prove that, for any real numbers a and b and for integers n > 0, we have:  

∑ (a + ib) = ½ (n+1) (2a + nb)

We can use mathematical induction to prove this statement.

Base case: n = 1

LHS:  1 ∑ (a + ib) = a + ib

RHS: ½ (1+1) (2a + 1b) = ½ (2)(2a + b) = 2a + b

Thus, a + ib = 2a + b and the statement holds for the base case.

Inductive step: Assume that the statement holds for n.

We need to show that it holds for n + 1.

LHS: (n+1) ∑ (a + ib) = n ∑ (a + ib) + (a + ib)

RHS: ½ (n+2)(2a + (n+1)b) = ½ (n+1)(2a + nb) + ½ (2a + b)

Using the inductive hypothesis, the LHS and RHS are equal. Thus, the statement holds for n + 1 and so is true for all n ≥ 1.

To learn more about mathematical induction:

https://brainly.com/question/29503103#

#SPJ11

Answer: I think you have it right. I might be wrong, though, but I'm pretty sure that's right.

In order to calculate the z-scores for the given Confidence Interval (CI) levels, we need to use the Z-table. It is also known as the standard normal distribution table. Here are the z-scores for the given Confidence Interval levels:1. 68% CI: The confidence interval corresponds to 1 standard deviation on each side of the mean.

Thus, the z-score for the 68% \(CI is ±1.00.2. 85% CI\): The confidence interval corresponds to 1.44 standard deviations on each side of the mean.

We can calculate the z-score using the following formula:\(z = invNorm((1 + 0.85)/2)z = invNorm(0.925)z ≈ ±1.44\)Note that invNorm is the inverse normal cumulative distribution function (CDF) which tells us the z-score given a certain area under the curve.3. 99% CI: The confidence interval corresponds to 2.58 standard deviations on each side of the mean. We can calculate the z-score using the following formula:\(z = invNorm((1 + 0.99)/2)z = invNorm(0.995)z ≈ ±2.58\)

Note that in general, to calculate the z-score for a CI level of (100 - α)% where α is the level of significance, we can use the following formula:\(z = invNorm((1 + α/100)/2)\) Hope this helps!

To know more about distribution visit:

https://brainly.com/question/29664127

#SPJ11

Answer:

I would sat b

Step-by-step explanation:

Answer:

66666699999

Step-by-step explanation:

Answer:

The probability that the coin lands heads up once and tails up twice is .375, or 3/8.

Step-by-step explanation:

Check the conditions for a binomial distribution problem:

We need to use combinations to determine the probability of getting one success (one head) and two failures (two tails).

The combination would be 3 choose 1:  \(p = {3 \choose 1} (.5)^1(.5)^2\).

There is one success and two failures, denoted by the superscripts above the probability p = .5.

Use a calculator to evaluate and we get:

The probability that the coin lands heads up once and tails up twice is .375, or 3/8.

The equation of the degree 6 polynomial with a root at 3, a double root at 2, and a triple root at -1, and y-intercept at y = 5 is given as follows:

y = -5/12(x - 3)(x - 2)²(x + 1)³.

The equation of the function is obtained considering the Factor Theorem, as a product of the linear factors of the function.

The zeros of the function, along with their multiplicities, are given as follows:

Then the linear factors of the function are given as follows:

The function is then defined as:

y = a(x - 3)(x - 2)²(x + 1)³.

In which a is the leading coefficient.

When x = 0, y = 5, due to the y-intercept, hence the leading coefficient a is obtained as follows:

5 = -12a

a = -5/12

Hence the polynomial is:

y = -5/12(x - 3)(x - 2)²(x + 1)³.

More can be learned about functions at https://brainly.com/question/24808124

#SPJ1

Answer:

= 100 km

Step-by-step explanation:

Total length = 5/5

Covered length = 2/5

Remaining length = 5/5 - 2/5 = 3/5

If 3/5 = 60 km

What about 5/5 = ?

= 5/5 x 60 x 5/3 (reciprical)

= 60 x 5/3

= 300/3

= 100 km

Covered distance = 100 - 60 = 40 km

Answer: x=-1 because when using substitution the equation can be converted to (3x=-5-2x)=5x=-5.

Hope this helps.

Answer:

x=-1

Step-by-step explanation:

10+3x=5-2x

get all like terms on one side by subtracting the 10 to the right and adding 2x to the left

3x+2x= -5

5x=-5

divide by 5 to get x alone

x=-1

Using the exponential growth formula, the population in 2005 was 161 million.

The equation f(x) = a(1 + r)^x can also be used to compute exponential growth, where: The function is represented by the word f(x). The initial value of your data is represented by the a variable. The growth rate is represented by the r variable. To calculate growth rates, divide the difference between the starting and ending values for the period under study by the starting value.

Growth factor = (159/154) for the eleven-year period between 1990 and 2001.

The population growth might thus be described by the exponential equation

p(t) = 154(159/154)^(t/11), where t is the number of years since 1990.

The model forecasts a population of... p(15) = 154(159/154)^(15/11)

= 160.86 = 161 million

In 2005, there were about 161 million people living there.

Learn more about exponential growth formula Visit: brainly.com/question/27207350

#SPJ4

Correct Question:

A country's population in 1990 was 154 million. In 2001 it was 159 million. Estimate the population in 2005 using the exponential growth formula. Round your answer to the nearest million.

Answer:

H = F + 35  

Step-by-step explanation:

If Felix has 35 less than Helen, then adding 35 to Felix's amount should equal Helen's amount

¬ Vx(Fx → Gx) v 3xFx ⊢ Fx → Gx [1-5, Modus Ponens]

i. ∃x(Fx & Gx) ⊢ ∃xFx & ∃xGx (5 marks)

Proof:

1. ∃x(Fx & Gx) [Premise]

2. Fx & Gx [∃-Elimination, 1]

3. ∃xFx [∃-Introduction, 2]

4. ∃xGx [∃-Introduction, 2]

5. ∃xFx & ∃xGx [Conjunction Introduction, 3 and 4]

6. ∃x(Fx & Gx) ⊢ ∃xFx & ∃xGx [1-5, Modus Ponens]

ii. ¬ 3x(Px v Qx) ⊢ Vx ¬ Px (5 marks)

Proof:

1. ¬ 3x(Px v Qx) [Premise]

2. ¬ Px v ¬ Qx [DeMorgan’s Law, 1]

3. Vx ¬ Px [∀-Introduction, 2]

4. ¬ 3x(Px v Qx) ⊢ Vx ¬ Px [1-3, Modus Ponens]

iii. ¬ Vx(Fx → Gx) v 3xFx (10 marks; Hint: To derive this theorem use RA.)

Proof:

1. ¬ Vx(Fx → Gx) v 3xFx [Premise]

2. (¬ Vx(Fx → Gx) v 3xFx) → (¬ Vx(Fx → Gx) v Fx) [Implication Introduction]

3. ¬ Vx(Fx → Gx) v Fx [Resolution, 1, 2]

4. (¬ Vx(Fx → Gx) v Fx) → (Fx → Gx) [Implication Introduction]

5. Fx → Gx [Resolution, 3, 4]

6. ¬ Vx(Fx → Gx) v 3xFx ⊢ Fx → Gx [1-5, Modus Ponens]

  Learn more about Derivations

  brainly.com/question/30365299

  #SPJ11

Answer:

Step-by-step explanation:

isosceles triangles are ones that have two equal sides and angles. this would mean that ab is equal to bc. then you substitute the values in for AB=BC, 3x-4=5x-10. you bring the variables to one side and you flip everything which is then 2x=6 and then divide by 2. this would be x=3. then you have to figure out the AB. 3(3)-4=5. then you can always check for BC, 5(3)-10=5. and they are equal! hope i helped!

Answer:

y=7(x-5)+3

Step-by-step explanation:

It indicates that the test is highly accurate in correctly identifying individuals with hepatitis C (high sensitivity) and accurately ruling out individuals without the disease (high specificity).

Sensitivity and specificity are two important measures of a diagnostic test's performance. Sensitivity refers to the test's ability to correctly identify individuals who have the condition, while specificity refers to its ability to correctly identify individuals who do not have the condition.

In the case of the ELISA test for hepatitis C, a sensitivity of 95% means that the test will correctly identify 95% of individuals who actually have hepatitis C as positive. This indicates a high probability of detecting the disease when it is present.

On the other hand, a specificity of 90% means that the test will correctly identify 90% of individuals who do not have hepatitis C as negative. This suggests that there is a 10% chance of a false positive result, where individuals without the disease are mistakenly identified as positive.

Overall, the high sensitivity and specificity of the ELISA test for hepatitis C make it a valuable tool in the diagnosis and screening of individuals for this infectious disease. However, it is important to consider that no test is 100% accurate, and false results can still occur. Therefore, additional confirmatory tests may be required in certain cases to ensure accurate diagnosis and appropriate medical intervention.

Learn more about probability here:

https://brainly.com/question/32004014

#SPJ11

Allow us to assume, the x is the 10th spot digit (for instance x=3 in the two digit number 32) and y is the unit place digit of the two-digit number(for model y=2 in the two digit number 32). Additionally assume x > y

In this manner,

the two-digit number is 10x + y(3cross times10+2=32) and turned around number is 10y + x(2cross times10+3=23);

Considering that The digit of a two digit number vary by 3, it tends to be composed as:

x - y = 3.....................(1)

Additionally given the digits are trade and the subsequent number is added to the original number we get 143, it tends to be composed as:

10x + y + 10y + x = 143

rightwards twofold arrow11x + 11y = 143

rightwards twofold arrowx + y = 13 ...............(2)

Adding equation (1) and equation (2) ;

then, at that point, we get

2x = 16

rightwards x = 8

then, at that point, the worth of x is placed in equation (1),we get;

y = x - 3

= 8 - 3

= 5

In this manner, the two-digit number = 10x + y

= (10 × 8) + 5

= 85

to know more about the two- digit number click here:

https://brainly.com/question/29546638

#SPJ4

The complete question is:

The digit of a two digit number differ by 3. If the digits are interchange and the resulting number is added to the original number we get 143. What can be the original number?

Answer:

Line Segment

Step-by-step explanation:

The perimeter of the textbook cover should be reported as 123.1 cm, using four significant figures.

When calculating the perimeter of the textbook cover, it is important to consider the number of significant figures in the measurements. The general rule is that the result of a calculation should have the same number of significant figures as the least precise measurement used in the calculation.

In this case, the length of the textbook cover is given as 36.71 cm with four significant figures, while the width is given as 24.83 cm with four significant figures as well. When calculating the perimeter, you add the lengths of all four sides of the rectangle.

Perimeter = 2(length + width) = 2(36.71 cm + 24.83 cm)

To maintain the same level of precision as the least precise measurement, we need to consider the width, which has four significant figures. Thus, the result should be reported with four significant figures.

Perimeter = 2(36.71 cm + 24.83 cm) = 2(61.54 cm) = 123.08 cm

Therefore, the perimeter of the textbook cover should be reported as 123.1 cm, using four significant figures.

Learn more about perimeter here:

https://brainly.com/question/6465134

#SPJ11