Find the value of a and b when a+b = -5, ab = -24
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The angles with a common reference angle of 340° are:

To find an angle in each quadrant with a common reference angle of 340°, we need to determine the reference angle of 340° and then find angles in each quadrant with that same reference angle.

The reference angle of 340° is found by subtracting the nearest multiple of 360°, which is 0°, from 340°. Therefore, the reference angle of 340° is 20°.

Quadrant I:

To find an angle in quadrant I with a reference angle of 20°, we simply take the reference angle itself, which is 20°.

Quadrant II:

To find an angle in quadrant II with a reference angle of 20°, we need to add the reference angle to 180°, which gives us 200°.

Quadrant III:

To find an angle in quadrant III with a reference angle of 20°, we need to subtract the reference angle from 180°, which gives us 160°.

Quadrant IV:

To find an angle in quadrant IV with a reference angle of 20°, we need to subtract the reference angle from 360°, which gives us 340° (which is the original angle we started with).

Therefore, the angles in each quadrant with a common reference angle of 20° are:

The complete question is:-

Find an angle in each quadrant with a common reference angle with 340°, from 0°≤θ<360°

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Answer:I think its 5miles

Step-by-step explanation:

hope this helps!

109x is the expression that could be used to determine the total number of cupcakes made given that a parent made x cupcakes for each of the 109 students in the fourth grade. This can be obtained by forming the algebraic expression for the given conditions.

Given that,

A parent made x cupcakes for each of the 109 students in the fourth grade.

The total number of students in the class = 109

The number of cupcakes one student gets = 1 × x = x

⇒ The number of cupcakes 109 student gets = 109 × x = 109x

Hence 109x is the expression that could be used to determine the total number of cupcakes made given that a parent made x cupcakes for each of the 109 students in the fourth grade.

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Answer:

it is e

Step-by-step explanation:

Answer:

C, A, D

Step-by-step explanation:

The original loan amount was $6,000,

It will take Frank 30 months to pay back his dad,

The equation R = L − 200T can be used to model this situation.

Answer:

yes

Step-by-step explanation:

no

Answer:

(A) No

(B) Yes

Step-by-step explanation:

(A) Using centimeters for example, it is not possible to create a closed or full triangle with side lengths 1cm, 5cm and 3cm. [See attachment for illustration]

(B) It is possible to create a triangle of side lengths 3cm, 4cm and 5cm. [See attachment also]

The Pythagoras Rule also applies in this case.

The sum of the squares of the lengths of the 2 shorter sides (the opposite side and the adjacent side) is equal to the square of the longest side (the hypotenuse).

(3×3) + (4×4) = (5×5)

9 + 16 = 25

Answer:

1) No

2) Yes

3) No

4) Yes

5) Yes

Step-by-step explanation:

edge 2020:)

All correct

The amount loaned at 5% interest is $7,500. Let's say the bank loaned out x dollars. The amount loaned at 5% interest is 0.05x dollars, and the amount loaned at 10% interest is 0.10x dollars.

We know that the total interest received in one year was y dollars. We can set up the following equation to represent this information:

0.05x + 0.10(x - 0.05x) = y

Simplifying the right side of this equation, we get:

0.05x + 0.10x - 0.05x = y

0.05x = y

Dividing both sides of this equation by 0.05, we get:

x = y / 0.05

x = 20y

We are given that the total interest received was $y = $1,500. Plugging this value into the equation, we get:

x = 20(1,500)

x = $30,000

Therefore, the amount loaned at 5% interest is $30,000 / 2 = $15,000. However, we are asked for the amount loaned at 5% interest, not 10% interest. So, we need to divide this amount by 2:

$15,000 / 2 = $7,500

Therefore, the amount loaned at 5% interest is $7,500.

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QUESTION:

A bank loaned out $18,000, part of it at the rate of 8% per year and the rest at 16% per year. If the interest received in one year totaled $2000, how much was loaned at 8%?

Answer:

Grocery Giant has the better price for the pineapple.

Step-by-step explanation:

Superway Store

3 cans of pineapple is 2.25

Grocery Giant

6 cans of pineapple is 4.80

Superway Store 6 cans is 2.25 + 2.25 = 4.50

Which means that Superway Store is cheaper by 30 cents

Answer:

A store pays $840 for an oil painting. The store marks up the price by 46%. What is the amount of the mark-up?

=

$386.40

The volume of the rectangular building is 2,731,050 feet³ depending on the given height, base and width.

The volume of the building will be calculated by the formula -

Volume = length × breadth × height

Thus, keeping the value of each component of building in the formula to find the volume of the building.

Volume of building = 255 × 255 × 42

Performing multiplication on Right Hand Side of the equation to find the value of volume

Volume of building = 2,731,050 feet³

Therefore, the volume of the building is 2,731,050 feet³.

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Answer:

12

Step-by-step explanation:

minus 216 - 18 and the answer minus it from 18 and so on and so on

Answer:

Step-by-step explanation:

The value of k in the equation y = k√x, where the blue graph is a dilation of the red graph, is 1.

The red graph in the graph represents the parent function y = √x. The blue graph is a dilation of the parent function, which means it is a stretched or compressed version of the parent function.

The dilation is represented by the variable k, and we need to find the value of k in the equation y = k√x.

To find the value of k, we can compare the two graphs by looking at specific points.

Let's choose a point that is easy to work with, such as (1, 1) on the parent function. For the parent function y = √x, when x = 1, y = 1.

So, the point (1, 1) lies on the red graph. Now let's find the corresponding point on the blue graph.

Using the equation y = k√x, when x = 1, y = k√1 = k. Since the point (1, 1) lies on both the red and blue graphs, the y-coordinate should be the same.

Therefore, we can equate 1 (from the red graph) to k (from the blue graph) and solve for k: 1 = k

So, the value of k is 1. In conclusion, the value of k in the equation y = k√x, where the blue graph is a dilation of the red graph, is 1.

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Answer:

C

Step-by-step explanation:

y=mx+b m=slope b=y-intercept, y-int: 4 slope: 3/1 but can just be put as 3. y=3x+4 bc it's a positive slope with a positive y-int.

The first transformation is a translation one unit up.

The second transformation is a translation of four units left.

The scale factor is 2.5.

According to the transformations above, the circles are similar, they are related with a scale factor of 2.5.

The equation of the preimage is

The equation of the image is

Answer:

1=21

Step-by-step explanation:

for every one you go up you move over 21

Answer:

3.53

Step-by-step explanation:

Answer:

2 cups sugar : 5 cups flour

2.5 cups of flour per cup of sugar because we divide both sides by 2

0.4 cups of sugar per cup of flour because we divide both sides by 5

(Find the unit rate)

Answer:

a. 5/12

b. 7/18

Step-by-step explanation:

In this question, we are interested in computing the probabilities.

Firstly, we need to get the sample space of the results. This refer to all possible results that can emerge from the rolling of the two die.

This can be found in the attachment.

What is important to know however is that the total number of possible results is 36;

so let’s compute;

a. For a, let’s circle all sums which are greater than 7 ;

We can see a total of 16 circled sums;

So the probability is 15/36 = 5/12

b. Sum divisible by 4 or 6 or both

Let’s make a circle again ;

So we have a total of 14

So the probability will be 14/36 = 7/18

Answer:

40 ft, max height

Step-by-step explanation:

Nick tossed a penny off a 20 foot bridge.

The path of the penny's height can be modeled by the equation h(t) = -16t^2 + 40t + 20.

Find the maximum height of the penny.

:

Find the axis of symmetry, x = -b/(2a); a=-16, b=40

Answer:

5,469

Step-by-step explanation:

5 dollars equals 500 pennies, once 5 dollars times 100 equals 500. What's 5 dollars in cents? 5 dollars equals 500 cents, once 5 dollars times 100 equals 500.

<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3Answer:

Let's solve your equation step-by-step.

4x + x + 5 − 9 + x = −3 − 7 + x

Step 1: Simplify both sides of the equation.

4x + x + 5 − 9 + x = −3 − 7 + x

4x + x + 5 + −9 + x = −3 + −7 + x

( 4x + x + x ) + ( 5 + −9 ) = ( x ) + ( −3 + −7 )

( Combine Like Terms )

6x + −4 = x + −10

6x − 4 = x − 10

Step 2: Subtract x from both sides.

6x − 4 − x = x − 10 − x

5x − 4 = −10

Step 3: Add 4 to both sides.

5x − 4 + 4 = −10 + 4

5x = −6

Step 4: Divide both sides by 5.

5x / 5 = −6 / 5

x= −6 / 5

Answer:

x= −6 / 5

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Answer:

180 cards

Step-by-step explanation:

45x 4= 180

The number of bonded atoms around a central atom determines its shape by influencing the spatial arrangement of the bonded atoms. In other words, the shape of a molecule depends on the way its constituent atoms are arranged in three-dimensional space.

The most common way to predict the shape of a molecule is by using the valence shell electron pair repulsion (VSEPR) theory. According to this theory, electron pairs in the valence shell of a central atom repel each other, and the shape of the molecule is determined by the way these electron pairs are arranged in space.

Here are some examples of how the number of bonded atoms around a central atom determines its shape:

Linear: When a central atom is bonded to two other atoms, the molecule has a linear shape. For example, carbon dioxide (CO2) has a linear shape, with the carbon atom in the center and two oxygen atoms bonded to it.

Trigonal planar: When a central atom is bonded to three other atoms, the molecule has a trigonal planar shape. For example, boron trifluoride (BF3) has a trigonal planar shape, with the boron atom in the center and three fluorine atoms bonded to it.

Octahedral: When a central atom is bonded to six other atoms, the molecule has an octahedral shape. For example, sulphur hexafluoride (SF6) has an octahedral shape, with the sulphur atom in the center and six fluorine atoms bonded to it.

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a. the integral \(I\) becomes \(\[I = a\theta + \sin(\theta) + C\]\) where \(\(C\)\) is the constant of integration. b. the integral \(I\) becomes \(\[I = \frac{1}{2}a\theta^2 + \sin(\theta) + C\]\) where \(\(C\)\) is the constant of integration.

To evaluate the integral \(I = \int (a + \cos(\theta)) \, d\theta\), we can apply the integral rules and properties. Let's consider the two given cases:

(a) If \(a > 1\):

In this case, the integral can be evaluated directly. The integral of \(a\) with respect to \(\theta\) is \(a\theta\), and the integral of \(\cos(\theta)\) is \(\sin(\theta)\). Therefore, the integral \(I\) becomes:

\[I = a\theta + \sin(\theta) + C\]

where \(C\) is the constant of integration.

(b) If \(a = a_0 + i e\), where \(a_0\) and \(e\) are real and positive:

In this case, the integral can also be evaluated using the same rules. The integral of a constant multiplied by a variable is \(\frac{1}{2}a\theta^2\), and the integral of \(\cos(\theta)\) is \(\sin(\theta)\). Therefore, the integral \(I\) becomes:

\[I = \frac{1}{2}a\theta^2 + \sin(\theta) + C\]

where \(C\) is the constant of integration.

It's important to note that the integral is evaluated based on the assumption that \(d\theta\) is the differential of \(\theta\) and not a different variable. Also, \(C\) represents the constant of integration, which can take any value.

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The piecewise function for this problem is defined as follows:

A piece-wise function is a function that has different definitions, depending on the input of the function.

Between x = -3 and x = -1, the linear function has a slope of 1, with a x-intercept of -3, meaning that the parent function y = x was shifted left 3 units, hence it is given as follows:

f(x) = x + 3, -3 ≤ x < -1

Between x = -1 and x = 1, the function is constant at y = 5, hence it is given as follows:

f(x) = 5, -1 ≤ x ≤ 1.

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Answer:

17.y=-x+12

18.y=-1/4x+7

Step-by-step explanation:

17.a Solve for y (y=-5+x)

17. b Reciprocal (y=-1x-5)

17. c Subsitute equation into (8,-1) (-1=-13=y=x+12)

18.a Subtract y values and x values= (6-4)/(4-12)=2/-8=-1/4, this will be your slope

18. b Plug in -1/4 into either of the two ordered pairs to find y value=(12,4)=(4=-3)=y value=7.

18. c=y=-1/4x+7