Harry bought a package of blueberries to put in his muffins. The package he bought had 64 blueberries in side. He plan in making 17 muffins with 6 blueberries in each. How many more blueberries will he need?

Answer:

The equation that represents the new path is y=(1/3)x+4

Step-by-step explanation:

step 1

Find the slope of the give line

we have

y=-3x-6

so

the slope m is equal to

m=-3

step 2

Find the slope of the perpendicular line to the given line

Remember that

If two lines are perpendicular, then their slopes are opposite reciprocal of each other

so

we have

m=-3 -----> slope of the given line

therefore

The slope of the perpendicular line is equal to

m=1/3

step 3

With m=1/3 and the point (-3,3) find the equation of the line

y-y1=m(x-x1)

substitute

y-3=(1/3)(x+3)

y=(1/3)x+1+3

y=(1/3)x+4 -----> equation that represent the new path

Answer:

  v = 40 . . . ft/sec

Step-by-step explanation:

Put the value 25 where h is in the formula and do the arithmetic.

  V = √(64·25) = (√64)(√25) = 8·5

  V = 40 . . . . feet per second

The distance is,

[tex]d(A,B)=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Where [tex]A(x_1,y_1),B(x_2,y_2)\longrightarrow A(-3,-2),B(-1,-2)[/tex]

[tex]d(A,B)=\sqrt{(-1-(-3))^2+(-2-(-2))^2}=\sqrt{4}=2[/tex]

The distance between points A, B is 2 units.

Hope this helps.

r3t40

The formula for distance between two points is:

[tex]\sqrt{(x_{2} -x_{1})^{2} + (y_{2} -y_{1})^{2}}[/tex]

In this case:

[tex]x_{2} =-1\\x_{1} =-3\\y_{2} =-2\\y_{1} =-2[/tex]

^^^Plug these numbers into the formula for distance like so...

[tex]\sqrt{(-1 - (-3))^{2} + (-2 - (-2))^{2}}[/tex]

To solve this you must use the rules of PEMDAS (Parentheses, Exponent, Multiplication, Division, Addition, Subtraction)

First we have parentheses. Remember that when solving you must go from left to right

[tex]\sqrt{(-1 - (-3))^{2} + (-2 - (-2))^{2}}[/tex]

-1 - (-3) = 2

[tex]\sqrt{(2)^{2} + (-2 - (-2))^{2}}[/tex]

-2 - (-2) = 0

[tex]\sqrt{(2)^{2} + (0)^{2}}[/tex]

Next solve the exponent. Again, you must do this from left to right

[tex]\sqrt{(2)^{2} + (0)^{2}}[/tex]

2² = 4

[tex]\sqrt{4 + (0)^{2}}[/tex]

0² = 0

[tex]\sqrt{(4+0)}[/tex]

Now for the addition

[tex]\sqrt{(4 + 0)}[/tex]

4 + 0 = 4

√4 <<<This can be further simplified to...

2

***Remember that the above answers are in terms of units

Hope this helped!

~Just a girl in love with Shawn Mendes

Answer:

Length of arc AB= 2πr (angle) /360

= 2π×6× 30°/360

= π.

ANSWER

The length of arc AB is π units.

EXPLANATION

The length of an arc of a circle is calculated using the formula:

[tex]l = \frac{ \theta}{360} \times 2\pi \: r[/tex]

Where [tex] \theta = 30 \degree[/tex]

is the angle of sector and r=6 units is the radius of the circle.

We substitute these values into the formula to find the length of arc AB.

[tex]l = \frac{30}{360} \times 2 \times \pi \: \times 6[/tex]

[tex]l = \pi[/tex]

The length of the arc is π units.

So put 1 as the coefficient.

Answer:

The correct option is B

Step-by-step explanation:

We will consider the following things and figures.

The bank statement of July 31 for Walgreens showed a balance of $6,008.10

There was a deposit in transit made on July 1 for $1,100.10 along with the outstanding checks of $4,580.54.

=$6,008.10-$4,580.54+$1,100.10

=$1,427.56+$1,100.10

=$2,527.66

Thus the correct option is B....

Answer:

  7π cm² ≈ 22.0 cm²

Step-by-step explanation:

The shaded area is the difference between the area of Circle B and the areas of Circle C and Circle O. That is, those white areas are subtracted from the area of Circle B to get the shaded area.

The formula for the area of a circle is

  A = πr²

Using this, we find ...

  Circle B area = π(3 cm)² = 9π cm²

  Circle C area = Circle O area = π(1 cm)² = π cm²

Then the shaded area is ...

  Shaded Area = Circle B area - Circle C area - Circle O area

  = (9π cm²) - (π cm²) - (π cm²)

  = 7π cm² ≈ 22 cm²

Answer:

70 sentences

Step-by-step explanation:

7 x 5 x 2= 70

Answer:

A 1/2

Step-by-step explanation:

x - 2y = 3

-2y = -x + 3

y = 1/2 x - 3/2

please mark brainliest :)

Answer:

A.  1/2

Step-by-step explanation:

Solve the equation for y.

x - 2y = 3

Subtract x from both sides.

-2y = -x + 3

Divide both sides by -2.

[tex] y = \dfrac{1}{2}x - \dfrac{3}{2} [/tex]

The slope-intercept equation of a line is y = mx + b, where m is the slope.

In the case, m = 1/2.

Answer: slope = 1/2

Answer:

First choice.

Step-by-step explanation:

The x-intercepts happen when y=0.

Just like the y-intercepts happen when x=0.

So anyways we are asked to find the x-intercepts.

So set y=0 (set f(x)=0):

0=x^2+6x+5

0=ax^2+bx+c

Since a=1, all we have to do is find two numbers that multiply to be 5 and add up to be 6.

Those numbers are 5 and 1 because 5(1)=5 and 5+1=6.

So the factored form of x^2+6x+5 is (x+5)(x+1).

The equation we have is:

0=(x+5)(x+1).

This means we have x+5=0 or x+1=0.

We need to solve both equations.

x+5=0

Subtract 5 on both sides:

x=-5

x+1=0

Subtract 1 on both sides:

x=-1

So the x-intercepts are at (-5,0) and (-1,0).

OR

Some people just say at -5 and -1.

Answer:

A. -5 and -1

Step-by-step explanation:

Correct on edge 2021! :)

Answer: 45 degree angle

Answer:

x+5

Step-by-step explanation:

subtracting both equations give you x+5

The difference in cost between paying off a $3,200 balance one day later versus 30 days later is the interest accumulated over those 29 days. The daily interest rate is calculated from the annual percentage rate (APR), and then multiplied by the balance and the number of days.

When you have a credit card debt with an Annual Percentage Rate (APR) of 24.31%, interest is accrued daily on the current balance. Therefore, the difference between paying off your $3,200 debt one day later as opposed to 30 days later would essentially be the interest charged over the course of those additional 29 days.

Since APR is annual, the daily interest rate is calculated by dividing the APR by 365. In this case, the daily percentage rate is 0.0666%. Multiply this by the balance ($3,200) to calculate the approximate interest for one day. To find the total for 30 days, simply multiply the one day interest by 30.

However, do note that real-life calculations might be slightly different due to varying bank policies on compounding interest.

https://brainly.com/question/29011216

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By paying off the balance 1 day later, you would save $62.36 compared to paying it off 30 days later.

To calculate the amount of money saved by paying off the credit card balance 1 day later as opposed to 30 days later, we need to consider the interest charged on the outstanding balance. The credit card has an APR of 24.31% on purchases. We can use the formula:

Interest = (Principal x Rate x Time) / 365

Let's calculate the interest for 1 day and for 30 days and find the difference:

By paying off the balance 1 day later, you would save $62.36 compared to paying it off 30 days later.

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Answer:

$61.18

Step-by-step explanation:

The price last week was an unknown. We will call it x. x is an entire amount, so it is 100% of x.

This week, the price is 15% lower. Since 100% - 15% = 85%, the price this week is 85% of what it was last week. Last week it was x, so this week, the price is 85% of x.

85% of x = $52

0.85x = $52

Divide both sides by 0.85:

0.85x/0.85 = $52/0.85

x = $61.1764...

Answer: $61.18

Final answer:

To determine the original price of the shoes before a 15% discount, divide the discounted price, $52, by 0.85. The original price of the shoes was approximately $61.18.

Explanation:

The question asks to find the original price of the shoes before they were discounted by 15%. To find the original price, you can use the formula for calculating the original price after a discount has been applied. If the current price represents 85% (100% - 15%) of the original price, you can set up the equation as follows: $52 = 85% of the original price.

To find the original price, divide the current price by 85% (or 0.85 in decimal form): Original Price = $52 ÷ 0.85. This calculation gives an original price of approximately $61.18, rounding to the nearest cent.

Answer:

The radius of the cone is 21 units

The volume of the cone is 9702 units³

Step-by-step explanation:

* Lets revise the area of the circle and the volume of the cone

- The base if the cone is a circle

- The area of the circle is πr², where r is the radius of the circle

∵ The area of the base of the cone = 1386 units²

∵ The area of the base = πr²

∵ π = 22/7

∴ 1386 = 22/7 (r²) ⇒ multiply each side by 7

∴ 9702 = 22 r² ⇒ divide both sides by 22

∴ 441 = r² ⇒ take √ for both sides

∴ 21 = r

* The radius of the cone is 21 units

- The volume of the cone = 1/3 πr²h , where h is the height of the cone

∵ The cone's height is equal to the radius of its base

∴ h = r

∵ The volume of the cone = 1/3 πr²h

∴ The volume of the cone = 1/3 πr²(r) = 1/3 πr³

∵ r = 21 units

∴ The volume of the cone = 1/3 (22/7) (21)³

∴ The volume of the cone = 9702 unit³

* The volume of the cone is 9702 units³

Answer:

  x° = 55°

Step-by-step explanation:

The measure of external angle x° is the sum of the opposite internal angles shown.

  x° = 21° +34° = 55°

Answer:

(2, 1).

Step-by-step explanation:

Dilated by factor 3:

C = (6, 3) ----> C' would be (6 * 1/3, 3 *1.3) = (2, 1).

Answer:

  4.2 or 15.8 metres

Step-by-step explanation:

We assume your model for the height of the water stream is supposed to be ...

  h(x) = -0.15x^2 +3x

This will have a value of 10 when ...

  -0.15x^2 +3x = 10

  .15x^2 -3x +10 = 0 . . . . . subtract the left side to get standard form

For a quadratic equation of the form ...

  ax² +bx +c = 0

The solutions are given by the "quadratic formula:"

[tex]x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]

The above equation matches the template with a=0.15, b=-3, c=10. Putting these values into the formula gives ...

[tex]x=\dfrac{-(-3)\pm\sqrt{(-3)^2-4\cdot 0.15\cdot 10}}{2\cdot 0.15}=\dfrac{3\pm\sqrt{3}}{0.3}\\\\x=10\pm\dfrac{10}{3}\sqrt{3}[/tex]

  x ≈ 4.2 or 15.8

The firefighter can stand at 4.2 metres or 15.8 metres from the fire to get the water to arrive at the building 10 metres up.

Answer:

Step-by-step explanation:

Given that an equation in variable x as follows:

[tex]e^x =2x+3[/tex]

Let us start with x=0

We have left side = 1 and right side = 3.

Error = 2

ii) x=1: left side = e =2.718 and right side = 6.

Error = 3.282

iii) x =2: Left side = 7.388 and right side = 7

Error = 0.388

iv) x=3

Left side = 20.079

Right side = 9

Error = 11.079

Since error is the least when x=0, we can say 0 is the best approximation.

Answer:  She have to sell 32.5 kg to cover her weekly expenses.

Step-by-step explanation:

Since we have given that

Selling price  of cumin  per kg = $7.20

Quantity of cumin she sells = 90 kg

Net profit she get = $414

Total amount she get after selling 90 kg is given by

[tex]90\times 7.20=\$648[/tex]

So, Weekly expenses would be

[tex]\$648-\$414\\\\=\$234[/tex]

Quantity of cumin she need to sell to cover her weekly expenses is given by

[tex]\dfrac{234}{7.20}\\\\=32.5\ kg[/tex]

Hence, She have to sell 32.5 kg to cover her weekly expenses.

Explanation:

The point of a reflecting telescope is to reflect the light toward the eyepiece. That's what each reflecting surface does. By arranging the locations of the foci in the manner described, the light path is made to go from one focus to another, and finally to the focus at the eyepiece location.

Each conic surface is a reflecting surface that reflects the light closer to the eyepiece.

Answer:

Inside a telescope, the parabolic mirror reflects parallel light rays entering the telescope to its focus, which is also the focus of the hyperbolic mirror. The hyperbolic mirror then reflects those light rays to its other focus, where the image is observed.

Step-by-step explanation:

Answer:

If ABCD is dilated by a factor of 1/2, the coordinate of D' would be (1, -1).

Step-by-step explanation:

When dilating figures, each x-coordinate and y-coordinate is multiplied by the scale factor. In this case, the coordinates of D were being dilated by a factor of 1/2.

D: (2,-2)

D': [(1/2)2, (1/2)-2]

The coordinates of D' are (1,-1).

Answer:

There's one important property which states that when a number is multiplied by its reciprocal, equals 1.

The commutative property of multiplication states that two or more numbers can be multiplied in any order, therefore, the expression:  (7)×(13/29)×(1/7) can be changed to  (7)×(1/7)×(13/29) and the result won't be altered.

Now, given that 7 and 1/7 are reciprocals, the result is 1. Therefore, the result of the multiplication equals (13/29)

Answer:

communitive property

Step-by-step explanation:

Answer:

The first choice is the one you want

Step-by-step explanation:

First thing you need to know about this greatest integer graph is that it is aptly called a step graph.  It literally looks like stair steps on your calculator: short horizontal lines that are not connected vertically.  Really cool graph.

Second thing you need to know is about transformations of functions.  ANY side-to-side movement in ANY function will be in a set of parenthesis (or absolute value symbols, or under a radical sign, or inside the greatest integer brackets, etc.) and ANY up or down movement will be either added or subtracted.  Added means you move the function up from its starting position, subtracting means you move the function down from its starting position.  Since we have no numbers inside the greatest integer brackets, there is no side-to-side movement.  Since there is a "-2" after the brackets, we are moving the whole function down.

If you do not know how to graph these without a calculator and you have no idea what this graph looks like, I recommend going to your calculator to see it.  First, call up your "y = " window.  Next, hit 2nd-->0 (catalog), then hit the x^2 button (this will take you to the letter I in the catalog).  Scroll down til you see "int( " and hit that button.  It will take you back to the "y = " window.  Enter an x after that set of parenthesis and then close it, then hit " - 2 " and then "graph".  Your steps should begin to appear.  Notice that the horizontal line between x = 0 and x = 1 is at y = -2.  The parent graph has this line between x = 0 and x = 1 on y = 0.  The -2 in ours moved the graph down from y = 0 to y = -2

Summing up, the first choice is the one you want as your answer.

Answer:

A:

The steps are at y=-2

Step-by-step explanation:

edge 2021

Answer:

y-7 = 1/2(x-1) point slope form

y = 1/2x+13/2  slope intercept form

Step-by-step explanation:

y=-2x+9

This equation is in the form y= mx +b so the slope is -2

We want a line perpendicular

Take the negative reciprocal

m perpendicular is - (-1/2)

m perpendicular = 1/2

We have a slope of 1/2 and a point.  We can use point slope form

y-y1 = m(x-x1)

y-7 = 1/2(x-1)  point slope form

y-7 = 1/2x-1/2

Adding 7 to each side

y-7+7 =1/2x -1/2+7

y = 1/2x-1/2 +14/2

y = 1/2x +13/2  slope intercept form

Answer:

  √35

Step-by-step explanation:

The right triangles are all similar, so the ratios of long leg to hypotenuse are the same for all:

  z/7 = 5/z

  z² = 35 . . . . multiply by 7z

  z = √35

Answer:

Step-by-step explanation:

The right triangles are all similar, so the ratios of long leg to hypotenuse are the same for all:

 z/7 = 5/z

 z² = 35 . . . . multiply by 7z

 z = √35

Answer:

The answer is C; F(x) = 5x³ - 2

Step-by-step explanation:

See the attached graph below

Answer:

f(x) = 5x^3 -2

Step-by-step explanation:

We notice two things about the red graph, F(x).  It has been shifted down and it is narrower.

Lets deal with the shifted down first.  Looking at the point where it crosses the y axis on the graph of g(x) is 0

Looking at where it crosses the y axis for f(x) is -2

We have shifted the graph down 2

f(x) = g(x) + C  

C > 0 moves it up

C < 0 moves it down

We will let c = -2

f(x) = g(x) -2

Now lets deal with the compression

f(x) = g(Cx)  

C > 1 compresses it in the x-direction

0 < C < 1 stretches it

Since it got narrower, C > 1

our choices are 5 or negative 5 for the coefficient on x

Remember that the negative sign flips it across the x axis (reflections)

Since we do not have a reflection, we want positive 5

f(x) = 5x^3 -2

Answer:

51,111%

Step-by-step explanation:

We know that 45% have a dog but no cat.  While 23% have both a dog and a cat.

Then Pr(X has cat|X has dog) = Pr(X has dog and cat)/Pr(X has dog)

= Pr(X has dog and cat)/Pr(X has dog) = 0.23/0.45 = 0.51 ≈ 51,111%

The probability that a student’s family owns a cat if the family owns a dog is 51,111%

Answer:

51.1% is the correct answer.

Step-by-step explanation:

Hence, the answer is:

                [tex]\dfrac{1}{4}[/tex]

It is given that:

A correct answer is awarded 4 points, but an incorrect answer costs the student 1 point.

This means that the point +4 is added if the answer is correct.

and -1 will be added if the answer is incorrect.

Also, the probability of getting a correct answer is: 1/4

( since out of 4 choices only one option is correct)

and the probability of getting a incorrect answer is: 3/4

( since out of 4 choices 3 are incorrect)

Hence, the expected point the student should expect to get per question is:

[tex]E(X)=\dfrac{1}{4}\times (+4)+\dfrac{3}{4}\times (-1)\\\\i.e.\\\\E(X)=1-\dfrac{3}{4}\\\\i.e.\\\\E(X)=\dfrac{1\times 4-3}{4}\\\\i.e.\\\\E(X)=\dfrac{4-3}{4}\\\\i.e.\\\\E(X)=\dfrac{1}{4}[/tex]

A student who guesses on a multiple-choice question with four options should expect to earn an average of 0.25 points per question due to the probabilities of correct and incorrect answers and their respective points.

When guessing on a multiple-choice question with four possible answers, the probability of a correct guess is 1/4, while the probability of an incorrect guess is 3/4. The expected points per question is calculated by multiplying the probability of each outcome by the points awarded or deducted for that outcome and summing these products. With 4 points for a correct answer and a loss of 1 point for an incorrect answer, the calculation is as follows:

(1/4) × 4 points + (3/4) × (-1 point) = 1 point - 3/4 points = 1/4 points

Therefore, the student should expect to earn 0.25 points per question on average if they were to guess on each question.

Answer:

Is always a quadrilateral.

Is a parelleogram.

Answer:

  "is always"

Step-by-step explanation:

A rhombus is a 4-sided polygon that has all sides equal lengths. It is a quadrilateral and a parallelogram. A square is a special case of a rhombus.

Answer:

0.64 kilometres

Step-by-step explanation:

Step 1: Find the perimeter in metres

Perimeter of square = 4 x (Length)

Perimeter = 4 (160)

Perimeter = 640 metres

Step 2: Convert from metre to kilometre

1 km = 1000 m

x km = 640 m

Cross multiply

1000x = 640

x = 0.64 kilometres

Therefore, the perimeter of the square base is 0.64 kilometres.

!!