The vector ab has a magnitude of 20 units and is parallel to the
vector 4i + 3j.
find ab.

Answer:

https://brainly.com/question/26694904

Step-by-step explanation:

this question has f.r.e.e points, answer is saying yes pls

Answer:

5. x = 8

11. x = 57.6

13. x = 11

15. x = 5

Step-by-step explanation:

In each part, I set up a proportion and cross multiplied to solve.

5. 4/3 = 2x + 4/x + 7

    x = 8

11. 25/30 = 48/x

    x = 57.6

13. 32/2x + 6 = 60/52.5

     x = 11

15. To find missing part: 35 - 20 = 15

     20/7x - 11 = 15/4x - 2

     x = 5

Answer:

-22 m

Step-by-step explanation:

Answer:

D) y = 3/4x + 14

Step-by-step explanation:

The slope is 3/4 and parallel line have the same slope and the y-intercept is 14 so the point is (0, 14).

Hope this helps. Pls give brainliest.

The value of the function is f(-3) equals -27 and f(2) equals -2.

A function is a rule that assigns each input value (x) to a unique output value (f(x)). In our case, the function f(x) = -2x² + 3x is a quadratic function because it has an x² term. To find f(-3), we substitute -3 for x in the given function:

f(-3) = -2(-3)² + 3(-3)

Now, let's solve this expression step by step:

Simplify within the parentheses first:

f(-3) = -2(9) + 3(-3)

Multiply within each set of parentheses:

f(-3) = -18 + (-9)

Add the two terms together:

f(-3) = -27

Therefore, the value of f(-3) is -27.

Similarly, to find f(2), we substitute 2 for x in the function:

f(2) = -2(2)² + 3(2)

Now, let's solve this expression step by step:

Simplify within the parentheses first:

f(2) = -2(4) + 3(2)

Multiply within each set of parentheses:

f(2) = -8 + 6

Add the two terms together:

f(2) = -2

Therefore, the value of f(2) is -2.

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Complete Question:

Given f(x) = -2x²+3x find each of the following: f(-3); f(2)

Answer: y = 17x + 114

Step-by-step explanation:

The equation for the slope-intercept form is y = mx + b.

Arrange the equation so that it resembles y = mx + b.

You will do this by multiplying and subtracting so y is on the left side of the equation and mx + b is on the right side of the equation.

y + 5 = 17(x + 7)

y + 5 = 17x + 119

y + 5 - 5 = 17x + 119 - 5

y = 17x + 114

Answer:

Y = 17x + 114

Step-by-step explanation:

1. Y + 5 = 17 (x+7)

2. Y + 5 = 17x + 119   [Multiply the numbers in parenthesis by 17.]

3. Y = 17x + 114.     [To keep the balance and move the 5 over, subtract it from 119.]

Camillo should buy 60 containers of the 40-oz size, and the total cost of those containers would be $744.00.

To calculate the size of the container Camillo should buy, we need to find a container size that can accommodate the required 2,400 oz of peanut butter.

By comparing the given container sizes, we can see that the 40-oz container is the largest one available. As Camillo needs 2,400 oz of peanut butter, he would need to purchase multiple containers.

To find out how many of those containers Camillo will need, we can divide the total amount of peanut butter needed (2,400 oz) by the size of each container (40 oz). This gives us:

Number of containers = Total amount needed / Size of each container

Number of containers = 2,400 oz / 40 oz

Number of containers = 60 containers

So Camillo would need to buy 60 of the 40-oz containers to meet his requirement.

To calculate the total cost of those containers, we need to multiply the number of containers (60) by the price of each container. The price for each 40-oz container is $12.40. Therefore:

Total cost = Number of containers * Price per container

Total cost = 60 containers * $12.40

Total cost = $744.00

Hence, the total cost of the 60 containers would be $744.00.

In summary, Camillo should buy 60 containers of the 40-oz size, and the total cost of those containers would be $744.00.

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Complete Question

Camillo needs 2,400 oz of peanut butter.

What size container should Camillo buy?

How many of those containers will he need?

What will be the total cost of those containers?

Container Size    Price          Unit Price

12-oz                   $2.52           $0.21/oz

16-oz                   $4.00           $0.25/oz

32-oz                  $5.12             $0.16/oz

40-oz                  $12.40           $0.31/oz

From the diagram, the statements that are true includes

line OM ≅ line MP

∠ OJP ≅ ∠ OJL

In geometry, a tangent of a circle is a line that touches the circle at exactly one point, called the point of tangency.

The tangent line is perpendicular to the radius of the circle at that point. This means that the tangent line forms a right angle with the radius.

This makes ∠ OJP = 90 degrees also line LM id perpendicular to line OP, since it is a perpendicular bisector hence we have that

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The value of b² - 4ac for the equation x² + 5x + 4 = 0 is 9.

What is the discriminant of a polynomial?

The discriminant of a polynomial is a function of its coefficients and is represented by the capital ‘D’ or Delta symbol (Δ). It shows the nature of the roots of any quadratic equations where a, b, and c are real numbers.

It is represented as ‘D’

D = b² - 4ac

Where,

a is the coefficient of x²

b is the coefficient of x

c is a constant term

x² + 5x + 4 = 0

We have given:

x² + 5x + 4 = 0

Comparing the equation with the standard form.

a = 1, b = 5 and c = 4

Substituting it in the formula

D = 5² - 4 × 1 + 4

By further calculation

D = 25 - 16

D = 9,

The quadratic roots are real and distinct

Therefore, the value of b² - 4ac is 9.

Hence, The value of b² - 4ac for the equation x² + 5x + 4 = 0 is 9.

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The change in the price level from the first to the second month is 106.4

Price index: Price index, measure of relative price changes, consisting of a series of numbers arranged so that a comparison between the values for any two periods or places will show the average change in prices between periods or the average difference in prices between places.

A college student purchases 4 movie tickets for $7 each, 2 CDs for $13 each, and 20 gallons of gasoline at $2 a gallon during the base period.

Gas will cost $2.25 per gallon in the upcoming month, CDs will cost $12.50 each, and cinema tickets will cost $7.50

The price index

=(price in current year/price in last year) x 100

=100/94 x 100

=106.38 or 106.4

The change in the price level from the first to the second month is 106.4

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The length of the segment indicated is approximately 5.85 units.

The length of the segment indicated can be found using the Pythagorean theorem.

First, let's label the sides of the triangle formed by the segment:

- The side opposite the right angle is 5x.
- One of the other sides is 5.
- The remaining side is 3.

To find the length of the segment, we need to find the length of the hypotenuse of the triangle, which is the side opposite the right angle.

Using the Pythagorean theorem, we can write the equation:

(5x)^2 = 5^2 + 3^2

25x^2 = 25 + 9

25x^2 = 34

To solve for x, divide both sides of the equation by 25:

x^2 = 34/25

x^2 = 1.36

Take the square root of both sides to find x:

x = √1.36

x ≈ 1.17

Now, to find the length of the segment, substitute the value of x back into the equation:

Length of segment = 5x ≈ 5(1.17) ≈ 5.85

Therefore, the length of the segment indicated is approximately 5.85 units.

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Answer:

231

Step-by-step explanation:

3+(2)(6)+63

\(\huge\text{Hey there!}\)

\(\large\boxed{\mathsf{3 + 2\times6 + 6^3}}\\\\\\\large\boxed{\mathsf{\rightarrow 3 + 12 + 6^3}}\\\\\\\large\boxed{\rightarrow \mathsf{15 + 6^3}}\\\\\\\large\boxed{\rightarrow\mathsf{15 + 6\times6\times6}}\\\\\\\large\boxed{\rightarrow\mathsf{15 + 36\times6}}\\\\\\\large\boxed{\rightarrow \mathsf{15 + 216}}\\\\\\\large\boxed{\mathsf{\rightarrow 231}}\\\\\\\\\\\huge\boxed{\text{Therefore, your answer is: \boxed{\mathsf{231}}}}\huge\checkmark\)

\(\huge\text{Good luck on your assignment \& enjoy your day!}\)

~\(\large\boxed{\frak{Amphitrite1040:)}}\)

Answer:

A and D

Step-by-step explanation:

If you simplify for A it is 8x +8

If you simplify for D it is 8x+8

Answer:

A & D

Step-by-step explanation:

Simplify all of them and then see which one has the same answer and those two are the answers

Answer: B

Step-by-step explanation:

If the other one is 48 then this one must be 42 i think

Answer:

7,897 miles

Step-by-step explanation:

3949-2.7=3946.3

3949+1.7=3950.7

3946.3+3950.7=7897

The probability of a family having three males and two females can be calculated using the concept of binomial probability.

In a family with five kids, each child has a 50% chance of being male or female. The probability of having three males and two females can be calculated by considering the different ways this combination can occur.

There are a total of 10 possible outcomes when arranging three males and two females in a sequence of five children (i.e., 5C3, where 5C3 represents the binomial coefficient "5 choose 3").

The probability of having three males and two females is given by the number of favorable outcomes divided by the total number of possible outcomes, which is 10/32 or 0.3125. Therefore, the probability of a family having three males and two females is approximately 31.25%.

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Answer:

It would be a negative number, no matter what negative integer you put it as.

Step-by-step explanation:

For example, lets substitute -2

f(-2) = -8-4-1 = -13; a negative number

Answer:

Step-by-step explanation:

-4/5+3/20

find the common denominator, in this case would be 20

-4/5*4/4+3/20

=-16/20+3/20

=-13/20

Answer:

-13/20

Step-by-step explanation:

Add.

-4/5 + 3/20 = -13/20

( Reduce fraction to lowest terms)

If the confidence level were increased to 99%, the width of the confidence interval increases, when decreased to 80%, the width of the confidence interval decreases.

A confidence interval provides a range of estimated values for a population parameter's real value. A confidence level is connected to confidence intervals. The width of the confidence interval grows as the confidence level increases. The width of the confidence interval reduces as the confidence level goes down.

Since the margin of error grows as the confidence level does as well, the confidence interval will be bigger. Hence it increases for 99% and decreases for 80%.

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=============================================================

Explanation:

Let's square both sides and do a bit of algebra to get the following.

\(\sin(x) + \cos(x) = 1/5\\\\\left(\sin(x) + \cos(x)\right)^2 = \left(1/5\right)^2\\\\\sin^2(x) + 2\sin(x)\cos(x) + \cos^2(x) = 1/25\\\\\sin^2(x) + \cos^2(x) + 2\sin(x)\cos(x) = 1/25\\\\1 + 2\sin(x)\cos(x) = 1/25\\\\\sin(2x) = 1/25 - 1\\\\\sin(2x) = 1/25 - 25/25\\\\\sin(2x) = -24/25\\\\\)

Now apply the pythagorean trig identity to determine cos(2x) based on this. You should find that cos(2x) = -7/25

This then means tan(2x) = sin(2x)/cos(2x) = 24/7.

From here, you'll use this trig identity

\(\tan(2x) = \frac{2\tan(x)}{1-\tan^2(x)}\\\\\)

which is the same as solving

\(\tan(2x) = \frac{2w}{1-w^2}\\\\\)

where w = tan(x)

Plug in tan(2x) = 24/7 and solve for w to get w = -4/3 or w = 3/4

So either tan(x) = -4/3 or tan(x) = 3/4.

If we were to numerically solve the original equation for x, then we'd get roughly x = 2.21; then notice how tan(2.21) = -1.345 approximately when your calculator is in radian mode.

Since tan(x) < 0 in this case, we go for tan(x) = -4/3

Answer:

594

Step-by-step explanation:

1782/3 = 594.

To if the answer is correct, you do this:

594 × 3 = 1782.

Answer:

12x-4=80

12x=80+4

=84

x=84÷12

=7

Answer:

1/3

Step-by-step explanation:

∠BCF and ∠GHF are corresponding angles.

The correct answer is an option (C)

"These are the lines in the same plane that are at equal distance from each other and never meet."

"It is a line that intersects two or more lines at distinct points."

For given question,

line AD are line GJ are parallel line.

line KF is transversal which intersects line AD at point C and line GJ at point H.

line EL is  a perpendicular line to line AD are line GJ

We know that corresponding angles is any pair of angles each of which is on the same side of one of two lines cut by a transversal and on the same side of the transversal.

Therefore, ∠BCF and ∠GHF are corresponding angles.

The correct answer is an option (C)

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The appropriate p-value for the given test statistic and hypotheses is approximately 0.0253.

Tο determine the apprοpriate p-value fοr the given hypοthesis test, we need tο use the t-distributiοn and the t-statistic value οbtained.

Given:

Null hypοthesis (H0): μ = 130 (pοpulatiοn mean)

Alternative hypοthesis (HA): μ > 130 (pοpulatiοn mean)

T-statistic: t = 2.73

Degrees οf freedοm: df = 5

Tο calculate the p-value, we cοmpare the t-statistic tο the t-distributiοn.

Since the alternative hypοthesis is μ > 130, it is a οne-tailed test, and we are interested in the right tail οf the t-distributiοn.

Using a t-table οr a statistical sοftware, we can determine the p-value assοciated with the t-statistic and the degrees οf freedοm.

Fοr a t-statistic οf 2.73 with 5 degrees οf freedοm, the p-value is apprοximately 0.0257 (assuming a twο-tailed test).

Since we have a οne-tailed test, the apprοpriate p-value is half οf the twο-tailed p-value:

p-value = 0.0257 / 2 = 0.01285

Therefοre, the apprοpriate p-value fοr the given hypοthesis test is apprοximately 0.01285.

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The value of x in given equation 3x + 5y = 500 is x = 500/3 - 5y/3

What is Algebraic expression ?

Algebraic expressions are the idea of expressing numbers using letters or alphabets without specifying their actual values. The basics of algebra taught us how to express an unknown value using letters such as x, y, z, etc. These letters are called here as variables. An algebraic expression can be a combination of both variables and constants. Any value that is placed before and multiplied by a variable is a coefficient.

Here, the given equation is :

3x + 5y = 500

Now, it is to find the value of x in terms of y,

First subtract 5y from both  the side :

3x + 5y - 5y = 500 - 5y

3x = 500 - 5y

Now, divide both  side by 3 to get the final answer :

3x/3 = (500 - 5y)/3

x = 500/3 - 5y/3

Therefore, the value of x in given equation is x = 500/3 - 5y/3

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The required white effective interest rate is 0.71% more than his nominal interest rate.

Compound interest is the interest on deposits computed on both the initial principal and the interest earned over time.

Here,

White Effective interest R,
\(R=(1+i/m)^m)-1\\R=(1+0.1362/4)^4)-1\\R =0.1433*100=\)
R = 14.33 percent

So

Difference in interest = 14.33%-13.62%
                                    =0.71%

Thus, the required white effective interest rate is 0.71% more than his nominal interest rate.

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The correct response is c. 8√2 . The length of the diagonal if the side of the square is 8√2.

A polygon's opposed vertices (or corners) are connected by a line segment known as a diagonal. Or to put it another way, a diagonal is a line segment joining two polygonal vertices that are not neighbouring. With the exception of the figure's edges, it connects a polygon's vertices. For instance, a diagonal line or movement runs slopingly from one corner of a square to the other corner. a type of straight line called a diagonal. Straight up, down, or across are not possible on a diagonal line. It is a line that joins the corners of a form at two points. Instead of running straight up or across, a diagonal is formed by a straight line that is positioned at an angle.

Right isosceles triangles with both legs 8 feet long would make up each half.

The hypotenuse that both of those triangles would share is the diagonal.

We must determine the hypotenuse's length, d, in feet.

According to the Pythagorean theorem, the lengths of the legs' squares sum up to the length of the hypotenuse's square, so

\(8^{2} +8^{2} =8\sqrt{2}\)

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A gardener wants to divide a square piece of lawn in half diagonally. What is the length of the diagonal if the side of the square is 8ft? Leave your answer in simplest radical form.

a. 16√8

b. 2√8

c. 8√2

d. 4

Answer:

sheeeeeeeeeeeeeeeeeeeeesh

The required number of bacteria after 17 hours will be 99 bacteria.

The function which is in format f(x) =aˣ where a is constant and x is variable,  the domain of this exponential function lies   (-∞, ∞).

Here,
A researcher is studying the growth of bacteria. he starts with 60 of the bacteria. it grows continuously at a rate of 3%per hour.
Let the number of bacteria be y after x hours
y = 60 [1 + 0.03]ˣ
y = 60[1.03]ˣ

Now,
Put x = 17
y = 60[1.03]¹⁷
y = 99

Thus, the required number of bacteria after 17 hours will be 99 bacteria.

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