Question 8(Multiple Choice Worth 1 points)
(02.05 MC)
What are the vertex and range of y = x +31 +7?
0 (3.7); - O(3,7), 7 ≤y<*
O(-3, 7); - O(-3,7):7 ≤y<*

Answer:

2(15+10)

Step-by-step explanation:

when you multiply the integers by 5 you get 30 + 20 so you just divide them by 10.

2-4 is -2 and -5 times -2 is 10 divided by 2 is 5 and 5 +3 is 8. and 8 times 3 is 24. PEMDAS

Answer:

→24

Step-by-step explanation:

Evaluate: {3+[−5(2−4)÷2]}⋅3

= {3+[-5(2-4)÷2]}.3

= {3+[-5(-2)÷2]}.3

= {3+[10÷2]}.3

= {3+[10÷2]}.3

= {3+[10÷2]}.3

= {3+[10/2]}.3

= {3+[5]}.3

= {3+5}.3

= 8.3

= 8*3

= 24 Ans.

The direction of the vector v in standard position is approximately 253.301°.

Vectors in rectangular form present the change of each of the two variables parallel to orthogonal axes. Each point is described by the following definition:

v = (Δx, Δy)                         (1)

And the direction of a vector is equal to this inverse trigonometric function:

θ = tan⁻¹ (Δy / Δx)              (2)

If we know that Δx = - 3 and Δy = - 10, then the direction of the vector is:

θ = tan⁻¹ (- 10 / - 3)

θ = tan⁻¹ (10 / 3)

θ ≈ 253.301°

The direction of the vector v in standard position is approximately 253.301°.

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The Area of the shaded region is 20.86 in²

The area of a circle is calculated using the formula A = πr², where "A" is the area of the circle.

We know,
Area of Rectangle = l × w,      where l = length and w = width
Area of Circle = \(\pi r^{2}\),                where r = radius.

find the area of the rectangle,
length = 6 in and width = 4 in
Area of Rectangle = 6 × 4 = 24 inch²

Here given the circle radius is 1 inch, and we use π as 3.14

Area of Circle = \(\pi r^{2}\)
Area of Circle = 3.14 × 1² = 3.14 in²  

The area of the shaded region as per figure below is:

Area of the shaded region = Area of Rectangle - Area of Circle

Area of the shaded region = 24 - 3.14 = 20.86 in²

Therefore, the answer is D.  20.86 square inches.

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Answer:

$828.75

Step-by-step explanation:

Mobile Phone costs : $975

Discounted Price :-  ( $975 * 15% = 146.25   ,     $975 - 146.25 = 828.75 )

So the phone would cost $828.75 after the discount.

The price the widgets should be sold for, to the nearest cent, for the company to make the maximum profit is 62.13

y = -14x² + 1035x - 10266

-14x² + 1035x - 10266 = 0

x = -b ± √b² - 4ac / 2a

= -1035 ± √1035² -4(-14)(-10266) / 2(-14)

= -1035 ± √1071225 - 574896 / -28

= -1035 ± √496329 / -28

x = 1035 / 28 ± √496329 / 28

x = 11.80 or 62.13

The maximum value of x is 62.13

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Answer:

The valedictorian is the person who has the highest academic achievements in their graduating class not to mention they get to deliver the valedictory speech.

Step-by-step explanation:

Step-by-step explanation:

according to Oxford learner's dictionary:

the student who has the highest grades in a particular group of students and who gives the valedictory speech at a graduation ceremony compare salutatorian.

it means to have quality speech

The function u(t) which governs the motion of the mass is a simple harmonic oscillator equation u(t)=10cos(2πt/T)+12, where T=2π√m/k is the period of oscillation and m,k are the mass and spring constant respectively.

1. Calculate the angular frequency of the mass:

ω = sqrt(4/1)

= 2 rad/s

2. Calculate the displacement equation for the mass:

u(t) = 10 cos(2t) + 12 sin(2t) - 1t

3. Substitute a value of t into the displacement equation:

u(1s) = 10 cos(2*1) + 12 sin(2*1) - 1*1

= 8.8 + 11.7 - 1

= 18.5 cm

The motion of the mass can be modelled as a simple harmonic oscillator, which is a system that follows Hooke's law. This law states that the restoring force exerted by a spring is directly proportional to the displacement of the spring. In this case, the spring is stretched by a force of 4 N, and the mass  attached  to it is given an initial downward displacement of 12 cm. The equation governing this motion is a simple harmonic oscillator equation, which is given by u(t)=10cos(2πt/T)+12, where T=2π√m/k is the period of oscillation and are the mass and spring constant respectively. The equation is derived from the forces acting on the system, which are the spring force and the gravitational force. The equation shows how the displacement of the mass varies with time, and it also takes into account the initial velocity of the mass (1 m/s). The equation thus provides a complete description of the motion of the mass.

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Answer:

My guess would be 786.25 since its true :)

Answer:

786.25

Step-by-step explanation:

Really anything between 786.21 to 786.29

\({\huge{\blue{\bold{\mathfrak{Step\:by\:step\: solution}}}}}\)

To divide 80,000,000 by 200, we can follow these steps:

1. Write out the division problem: 80,000,000 ÷ 200

2. Divide the first digit of the dividend (8) by the divisor (2), which gives us 4.

3. Write 4 above the second digit of the dividend (0), which gives us 40.

4. Subtract 40 from 80, which gives us 40.

5. Bring down the next digit of the dividend (0), which gives us 400.

6. Divide 400 by 200, which gives us 2.

7. Write 2 above the 0 in the dividend, which gives us 4000.

8. Subtract 4000 from 4000, which gives us 0.

So the answer is 400,000. To write it in standard form, we move the decimal point 5 places to the left, which gives us:

\(\purple{4 \times {10}^{5}} \)

The answer is:

400,000

Work/explanation:

Divide:

80 000 000 ÷ 200

\(\sf{400,000}\)

The answer is already in standard form.

The x-intercepts are (4,0)(5,0) of the following graph.

In the context of a graph, an x-intercept is a point where a curve or line crosses the x-axis. It is the point at which the value of y is zero. In other words, the x-intercept is the value of x when the function or equation crosses the x-axis.

To find the x-intercepts of a function, you can set y equal to zero and solve for x. The resulting values of x will be the x-intercepts.

In the context of a graph, a y-intercept is a point where a curve or line crosses the y-axis. It is the point at which the value of x is zero. In other words, the y-intercept is the value of y when the function or equation crosses the y-axis.

To find the y-intercept of a function, you can set x equal to zero and solve for y. The resulting value of y will be the y-intercept.

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The answer is:

Work/explanation:

Bear in mind that the sum of all the angles in a triangle is 180°.

Given two angles, we can easily find the third one.

Let's call it x.

Next, we set up an equation:

\(\sf{54+87+x=180}\)

\(\sf{141+x=180}\)

Subtract 141 on each side.

\(\sf{x=180-141}\)

\(\sf{x=39}\)

The system of equations that shows the situation is option 1.  L+J=29  L=2J-10

The question tells us that the summation of the age of Latifa and Jameel is 29

Let J = Jameel

L = Latifa

L + J = 29

The question says that Latifa's age is 2 time of Jameels age = 2J with 10 years subracted

L = 2J - 10

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A function's codomain is a subset of its range. Although it is not a true subset, it is conceivable for the range to be equal to the codomain, in which case it is also a subset of the codomain.

A set that includes all or a portion of another set's elements is known as a subset. For instance, because every even integer is also an integer, the set of even integers is a subset of the set of integers. A subset that contains some, but not all, of the members of another set is said to be a proper subset. Because it contains some, but not all, of the positive integers, the set of positive integers less than 10 is a valid subset of the set of positive integers.

A function's codomain is a subset of its range. Although it is not a true subset, it is conceivable for the range to be equal to the codomain, in which case it is also a subset of the codomain.

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Answer:

−5+11i

Step-by-step explanation:

(3+6i)−(8−5i)

Subtract 8−5i from 3+6i by subtracting the corresponding real and imaginary parts.

3−8+(6−(−5))i

Subtract 8 from 3. Subtract −5 from 6.

−5+11i

Step-by-step explanation:

I hope this helps. The answer is D.

Answer:

3/10 times 5

15/10 or 1 1/2

A child can walk one and a half miles in one hour.

Answer:

1.5 miles

Step-by-step explanation:

1 hour is 5 times longer than 1/5 of an hour.

So multiply the distance by 5.

5 X 3/10 = 15/10  or  1 5/10  or  1 1/2 miles

Answer:

its 5,0

Step-by-step explanation:

i took the test

X1=-2 and x2=1

You would just need to plug the first y equation value into the 2nd equation to get what I got in the photo. Then solve for the x’s to get the coordinates.

Answer:

The answer should be B

Step-by-step explanation:

Because all the y-intercepts are negative, so when you divide by the x-intercepts you will always land up with a negative.

Answer:

Clostridium perfringens, one of the fastest-growing bacteria, has an optimum generation time of about 10 minutes; Escherichia coli can double every 20 minutes; and the slow-growing Mycobacterium tuberculosis has a generation time in the range of 12 to 16 hours.Step-by-step explanation:

The rate of exponential growth of a bacterial culture is expressed as generation time, also the doubling time of the bacterial population. Generation time (G) is defined as the time (t) per generation (n = number of generations). Hence, G=t/n is the equation from which calculations of generation time (below) derive.

The inequality corresponding to the equation -4x + y = -3 is either y > 4x - 3 or y < 4x - 3, depending on the relationship between 4x - 3 and 0.

To write the inequality represented by the equation -4x + y = -3, we first need to manipulate the equation to express y in terms of x.

Starting with -4x + y = -3, we isolate y by adding 4x to both sides:

y = 4x - 3

Now we have y expressed in terms of x. To form the inequality, we consider the relationship between x and y. The inequality depends on whether the expression 4x - 3 is greater than or less than 0.

If 4x - 3 is greater than 0, then y is greater than 0, and we can write the inequality as:

y > 4x - 3

If 4x - 3 is less than 0, then y is less than 0, and we can write the inequality as:

y < 4x - 3

The inequality represents a region in the coordinate plane where the y-values are either greater than or less than the expression 4x - 3, depending on the direction of the inequality sign.

For example, if we choose a point (x, y) in the region above the line y = 4x - 3, where y is greater than 4x - 3, the inequality y > 4x - 3 will hold true. On the other hand, if we choose a point below the line, where y is less than 4x - 3, the inequality y < 4x - 3 will be satisfied.

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∠1 and ∠2 are equal angles as the lie on same side of transversal, are on parallel lines and are corresponding to each other

thank you

Step-by-step explanation:

33oz = 100%

1% = 100%/100 = 33/100 = 0.33oz

59 - 33 = 26oz increase

how many % are these 26oz compared to the original 33oz ?

we need to see how often 1% fits into 26oz.

26/0.33 = 78.78787878...%

rounded this means a 79% increase of drinking water.

Answer: The value of x is 49.

Step-by-step explanation:

To find the value of x, you will first need to cross multiply the fractional variables together.

5x - 80 = 3x + 18

Then, move the numerical term 80 to the right side of this equation and add it to 18.

5x - 80 = 3x + 98

Move 3x to the left side of the equation and subtract it this time to the variable 5x.

2x = 98

Finally, you divide both of the equation's sides by 2 and you will get 49.

x = 49

When you actually add x to this problem, you would get 33/55.

49 - 16/49 +6 = 33/55

You can then simplify 33/55 and get the same answer 3/5.

3/5

Therefore, the value of x for this variable equation with the fractions would be equal to x = 49. Hope this helps!

-From 5th Grader Honors Student

Answer:

9/64

Step-by-step explanation:

it is just 3/8 x 3/8

A semi-annual coupon bond is a bond that pays interest twice a year at a fixed rate.

To determine the amount of semi-annual coupon paid, you can use the following formula:

C = (r * FV) / n

Where:

C = coupon payment (semi-annual)

r = annual coupon rate (3% in this case)

FV = face value (100,000 in this case)

n = number of coupon payments per year (2 for semi-annual)

So, the semi-annual coupon payment for the bond is:

C = (0.03 * 100,000) / 2

C = 1500

The bond matures after 8 years, so the bond will pay 8*2 = 16 semi-annual coupons.