P = 3t² + 7t
Work out the value of P when t = -4

P = 3t + 7tWork Out The Value Of P When T = -4

Answers

Answer 1

Answer:

P = 20

Step-by-step explanation:

Hello!

We can solve this by substituting -4 for t.

EvaluateP = 3t² + 7tP = 3(-4²) + 7(-4)

Remember that any negative number squared is the absolute value of that number squared.

P = 3(|-16|)  - 28P = 3(16) - 28P = 48 - 28P = 20

The final evaluation is 20.


Related Questions

The table gives information about the speeds, in kilometres per hour, of 80 motorbikes as each pass under a bridge.
Speed
(s kilometres per hour) Frequency
40 < s  50 10
50 < s  60 16
60 < s  70 19
70 < s  80 23
80 < s  90 12
(a) Write down the modal class
(b) Work out an estimate for the mean speed of the motorbikes as they pass under the bridge.
Give your answer correct to 3 significant figures.

Answers

The modal class is 70 - 80 and the mean speed is 66.4

How to determine the modal class?

The table of values is given as:

Speed    Frequency

40 - 50          10

50 - 60          16

60 - 70          19

70 - 80          23

80 - 90          12

The modal class is the class with the highest frequency

The class 70 - 80 has the highest frequency of 23

Hence, the modal class is 70 - 80

How to determine the mean?

Rewrite the frequency table to include the class midpoints

x             f

45          10

55          16

65          19

75          23

85          12

The estimate of the mean speed is then calculated as:

[tex]\bar x =\frac{\sum fx}{\sum f}[/tex]

So, we have:

[tex]\bar x = \frac{45* 10 + 55 * 16 + 65 * 19 + 75 * 23 + 85 * 12}{80}[/tex]

Evaluate

[tex]\bar x = 66.4[/tex]

Hence, the mean speed is 66.4

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Present a picture of an object (TV, Ipad Screen, Book Cover) that contains a right angle (it could be something in nature or that is man-made). Use a ruler or measuring tape to measure the two sides that make the right angle and measure the distance from the end of one side to the end of the other side (hypotenuse). Draw a diagram of the object including the measurements. Use your leg measurements on your diagram to calculate a theoretical hypotenuse. (Show all steps).

Answers

The measure of hypotenuse using the ruler is 25.5 cm and using the formula is 23.43 cm, they are not same, and formula can be used to in the real life problems as well.

What is a right-angle triangle?

It is a triangle in which one of the angles is 90 degrees and the other two are sharp angles. The sides of a right-angled triangle are known as the hypotenuse, perpendicular, and base.

The question is incomplete:

The complete question is:

Present a picture of an object (TV, Ipad Screen, Book Cover) that contains a right angle (it could be something in nature or that is man-made). Use a ruler or measuring tape to measure the two sides that make the right angle and measure the distance from the end of one side to the end of the other side (hypotenuse). Draw a diagram of the object including the measurements. Use your leg measurements on your diagram to calculate a theoretical hypotenuse. (Show all steps).

Does the hypotenuse that measured with a ruler/measuring tape equal the hypotenuse you calculated?Why do you think they are or are not exactly the same?What did you learn from developing this presentation?

We are assuming the length of one side x:

x = 18 cm

Length of other side y:

y = 15 cm

And length of the hypotenuse z:

z = 23.5 cm

From the Pythagoras theorem:

z² = x² + y²

z² = 18² + 15²

z² = 549

z = √54 = 23.43 cm

The measure of hypotenuse is:

Using ruler: x = 25.5 cm

Using formula: x = 23.43 cm

They are not equal due to the reading in the ruler.

The formula can be used to in the real life problems as well.

Thus, the measure of hypotenuse using the ruler is 25.5 cm and using the formula is 23.43 cm, they are not same, and formula can be used to in the real life problems as well.

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i will mark as brainiest

Answers

If two triangles are similar, then their side lengths are proportional.

RS / JK = RT / JL

5 / x = 4 / 7

4x = 35

x = 35/4 = 8.75

RT / JL = TS / LK

4 / 7 = 6 / (y + 2)

42 = 4(y + 2)

42 = 4y + 4

4y = 38

y = 38/4 = 9.5

LK = 9.5 + 2 = 11.5 cm

JK = x = 8.75

Hope this helps!

11+22+33+44+55+66+77+88+99+110+220+330+440+550+660+770+880+990+1110=​

Answers

Answer:

6545

Step-by-step explanation:

i spent time on this. i had to type out everything. by. hand.

see calculator image for proof. enjoy.

Answer: 6,555 im good at trig and using the pythagorean therum

Step-by-step explanation: brainliest?

a quadrilateral is inscirbed in circle o. the angle measures the quadrilateral in degrees are given by the expressions shown in the figure.
what is the measure of angle c?

(will mark branliest + 20points)

Answers

Answer:

A. 65 degrees

Step-by-step explanation:

The required measure of the angle c in the quadrilateral is given as 65°.

As mentioned in the question,
A quadrilateral is inscribed in a circle o. the angle measures the quadrilateral in degrees is given by the expressions shown in the figure.

What is the angle?

Orientation of the one line with respect to the horizontal or other respective line is known as a measure of orientation and this measure is known as the angle.

Here,
In a quadrilateral, the sum of the composite angle is equal to 180°,
∠A + ∠C = 180
130 -x + 95 -2x = 180
-3x = 180 - 225
x = 15

Now,
∠c = 95 - 2x
∠c = 95 - 2×15
∠c = 65

Thus, the required measure of the angle c in the quadrilateral is given as 65°.

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there are 20 students 15 men and 5 women in a maths class,in how many different ways can a committee of 3 men and 2 women be choosen

Answers

[tex]\displaystyle\\\binom{15}{3}\cdot\binom{5}{2}=\dfrac{15!}{3!12!}\cdot\dfrac{5!}{2!3!}=\dfrac{13\cdot14\cdot15}{2\cdot3}\cdot\dfrac{4\cdot5}{2}=13\cdot7\cdot5\cdot2\cdot5=4550[/tex]

A board game uses a deck of cards that players draw from to move tokens around the board. The probability of selecting a card that moves a player's token forward is 32%. Over the course of a game, the deck is shuffled and reused as necessary. Approximately how many cards must be drawn from the deck before players' tokens move forward 50 times?

Answers

Using the binomial distribution, it is found that approximately 156 cards must be drawn from the deck before players' tokens move forward 50 times.

What is the binomial probability distribution?

It is the probability of exactly x successes on n repeated trials, with p probability of a success on each trial.

The expected number of trials until q successes is:

[tex]E_s(X) = \frac{q}{p}[/tex]

In this problem, the parameters are given as follows:

q = 50, p = 0.32.

Hence:

[tex]E_s(X) = \frac{50}{0.32} = 156[/tex]

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Line segment JM has endpoints with coordinates -2 and 14 on a number line. Points K and L are on segment JM. K has a coordinate of 2 and point L has a coordinate of 8. Find the probability that a point on JM is placed first on JL and a second point is not placed on KL.

5/8
25/64
15/64
8/15

Answers

Answer:

25/64

Step-by-step explanation:

consider the events F and S :

F : «the first point is placed on JL»

S : «the second point is not placed on KL»

F∩S : «a point on JM is placed first on JL and a second point is not placed on KL»

[tex]p\left( F\right) =\frac{JL}{JM} =\frac{10}{16} =\frac{5}{8}[/tex]

[tex]p\left( \overline{S} \right) =\frac{KL}{JM} =\frac{6}{16} =\frac{3}{8}[/tex]

[tex]\Longrightarrow p\left( S\right) =1-p\left( \overline{S} \right) =1-\frac{3}{8} =\frac{5}{8}[/tex]

[tex]p\left( F\cap S\right) =p\left( F\right) \times p\left( S\right) =\frac{5}{8} \times \frac{5}{8} =\frac{25}{64}[/tex]

Find the missing side of this right
triangle.
30

X
[?]
X = 1
Enter the number that belongs in the green box.

Answers

Answer:

see the attachment photo!

Please solve the whole page please please

Answers

1d) ↑ (Do the same but turned if that's easier)

1a) 199

1b) 193

1c) 217

1e) Based on the box plot, we can for example, find the lowest and greatest values, the range (largest - smallest), the mean (all values / # values), and the median middle value or q2 given by the second line in the box.

2b) 7

2c) 9.5

2d) ↑

2e) because the data is not ordered, it is difficult to determine the quartile data. Once it is ordered like 6, 7, 7, 7, 8, 8, 9, 10, 10. The data can be visualized alot easier. With the box plot we can determine q3 of the data by looking at the 3rd line, using the whiskers of the box to find the minimum and maximum values.

3)

You need to find the minimum, maximum, the quartile data obtained by having an even amount of data on both sides, order it so that values can be grouped. this includes q1, q2 (or median), and q3.

In this case the ordered data would be: 4,6,8,8,9,11,12,14,14,16.

[4, 6, 8, 8, 9] [] [11, 12, 14, 14, 16]

4 is the minimum, 16 is the maximum, q1 is 8, q3 is 14, and median is 10.

4) ↑

5)

You need to find the minimum, maximum, the quartile data obtained by having an even amount of data on both sides, order it so that values can be grouped. this includes q1, q2 (or median), and q3.

In this case the ordered data would be:

45, 45, 50, 55, 60, 70, 70, 75, 80, 85

[45, 45, 50, 55, 60] [] [70, 70, 75, 80, 85]

45 is the minimum, 85 is the maximum, q1 is 50, q3 is 75, and median is 65.

6) ↑

L=24 B=12 area=______
Perimeter=_______

Answers

Answer:

Area= 288

Perimeter= 72

Step-by-step explanation:

In order to get the area of a rectangle, you multiply the length by the width, 24x12=288.

In order to find the perimeter just add all of the sides, there are 2 sides with a length of 24, and two sides with a width of 12.

24+24+12+12=72

(OAU
29 Mike knows that (3,6.5) and (4,17.55) are points on the graph of an exponential function, g(x), and
he wants to find another point on the graph of this function.
First, he subtracts 6.5 from 17.55 to get 11.05.
Next, he adds 11.05 and 17.55 to get 28.6.
He states that (5,28.6) is a point on g(x).
Is he correct? Explain your reasoning.

Answers

Mike's claim that (5,28.6) is a point on the exponential function g(x) is incorrect

How to determine if he is correct?

The points are given as:

(3,6.5) and (4,17.55)

An exponential equation is represented as:

[tex]y = ab^x[/tex]

Using the given points, we have the following equations:

[tex]ab^3 = 6.5[/tex]

[tex]ab^4 = 17.55[/tex]

Divide both equations:

[tex]ab^4 \div ab^3 = 17.55 \div 6.5[/tex]

Evaluate

b = 2.7

Substitute b = 2.7 in [tex]ab^3 = 6.5[/tex]

[tex]a * 2.7^3 = 6.5[/tex]

Solve for a

[tex]a = \frac{6.5}{2.7^3}[/tex]

Substitute [tex]a = \frac{6.5}{2.7^3}[/tex] and b = 2.7 in [tex]y = ab^x[/tex]

[tex]y = \frac{6.5}{2.7^3} * 2.7^x[/tex]

His point (5,28.6) means that:

x = 5 when y = 28.6

Substitute x = 5 in [tex]y = \frac{6.5}{2.7^3} * 2.7^x[/tex]

[tex]y = \frac{6.5}{2.7^3} * 2.7^5[/tex]

Evaluate

y = 47.385

y = 47.385 and y = 28.6 are not the same

Hence, Mike's claim is incorrect

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Help ASAP! Please this is hard!

Answers

no
yes
yes
yes
no
yes
yes
no

Express the statement as an inequality.
(a) x is negative.

x ≥ 0

x > 0


x < 0

x = 0

x ≤ 0

(b) y is nonnegative.

y < 0

y ≥ 0


y = 0

y ≤ 0

y > 0

(c) q is less than or equal to .

q <

q ≤


q >

q =

q ≥

(d) d is between 2 and 1.

1 ≤ d ≤ 2

d < 1 < 2


2 ≥ d ≥ 1

1 < d < 2

1 < 2 < d

(e) t is not less than 5.

t ≥ 5

t > 5


t = 5

t < 5

t ≤ 5

(f) The negative of z is not greater than 3.

z ≤ −3

−z ≤ 3


z < 3

−z < 3

z ≤ 3

(g) The quotient of p and q is at most 6.

p/q < 6

p/q = 6


p/q > 6

p/q ≤ 6

p/q ≥ 6

(h) The reciprocal of w is at least 9.

1/w < 9

1/w ≥ 9


1/w ≤ 9

1/w > 9

1/w = 9

(i) The absolute value of x is greater than 6.

|x| ≥ 6

|x| ≤ 6


|x| = 6

|x| > 6

|x| < 6

Answers

The expression of the inequality word problems for each question is; As expressed below

How to express inequalities?

A) x is negative. This can be expressed as;

x < 0

B) y is non-negative. This can be expressed as;

y > 0

C) q is less than or equal to is expressed as; q ≤

D) d is between 2 and 1 is expressed as 1 < d < 2

E) t is not less than 5 is t ≥ 5

F) The negative of z is not greater than 3 is expressed as;

−z ≤ 3

G) The quotient of p and q is at most 6 is expressed as; p/q ≤ 6

H) The reciprocal of w is at least 9 is 1/w ≥ 9.

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6 kids play a tennis game. Each play each other once. How many games did they play altogether ​

Answers

All together they play 36 games
Six kids each day play each other so six times six

A box has candies in it: are taffy, are peppermint, and are caramel. (Each candy falls into only one of these categories.) Brian wants to select two candies to eat for dessert. The first candy will be selected at random, and then the second candy will be selected at random from the remaining candies. What is the probability that the first candy selected is taffy and the second candy is caramel?
Do not round your intermediate computations. Round your final answer to three decimal places.

Answers

Probability that the first candy selected is taffy and the second candy is caramel is 0.144.

The data missing in the question is

A box has 18 candies in it: 3 are peppermint, 4 are caramel, and 11 are taffy.

What is Probability ?

Probability can be defined as the study of likelihood of an event to happen.

It has a range of 0 to 1.

Probability is the ratio of the expected outcomes / total coutcome.

Total outcomes = 18

The probability that the first candy is taffy is 11/18

Now as there is no replacement , the total outcomes can be 17

The probability that the second candy is caramel is 4/17

Probability that the first candy selected is taffy and the second candy is caramel =  (11/18)(4/17)

= 0.144

Therefore the Probability is 0.144

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Jannet walked 1 2/3 of a mile and her brother jamie walked 2 4/5 of a mile. How much did they walk all together

Answers

Answer:

4 7/15 miles

Step-by-step explanation:

1 2/3 + 2 4/5

Make alike denominators by multiplying 1 2/3 by 5 and 2 4/5 by 3

1 10/15 + 2 12/15 = 3 22/15

4 7/15 miles altogether that was walked

Give brainliest please!

Hope this helps :)

Solve the equation for x.
√x+5 -1 = 2

Answers

Answer:

Step-by-step explanation:

Equation

√(x + 5) - 1 = 2                      I take it that you want the 5 to be with the x.

Solution

√(x + 5) - 1 = 2                      Add 1 to both sides

√(x + 5) - 1 +1 = 2 + 1            Combine

√(x + 5)  = 3                         Square both sides

√(x + 5)²  = 3²                      Combine

x + 5 = 9                               Subtract 5 from both sides

x + 5- 5 = 9- 5

x = 4

Answer x = 4

8 3/8 + 3 3/8 + 2 3/8 + 3/8
what is the answer of this ?

Answers

The simplification form of the expression 8 3/8 + 3 3/8 + 2 3/8 + 3/8 is 14 whole 1/2 or 14 1/2 after adding all the terms.

What is an arithmetic operation?

It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has a basic four operators that is +, -, ×, and ÷.

We have an expression:

[tex]= 8 \dfrac{3}{8} + 3 \dfrac{3}{8} + 2 \dfrac{3}{8} + \dfrac{3}{8}[/tex]

After simplification:

[tex]= \dfrac{67}{8} + \dfrac{27}{8} + \dfrac{19}{8} + \dfrac{3}{8}[/tex]

[tex]= \dfrac{67+27+19+3}{8}[/tex]

= 116/8

= 29/2

[tex]= 14\dfrac{1}{2}[/tex]

Thus, the simplification form of the expression 8 3/8 + 3 3/8 + 2 3/8 + 3/8 is 14 whole 1/2 or 14 1/2 after adding all the terms.

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Answer:

i dont understand your question

Step-by-step explanation:

pls help, thank you!!

Answers

Answer: 1, 3

For a cubic polynomial, there are either 3 real roots or 1 real root nad 2 complex roots in a conjugate pair.


2. A function fis given by f: x→ 5x-8, where x € R. Find
a. f(-4)
b. the value of x whose image is 12

Answers

Answer:

a. -28b. 4

Step-by-step explanation:

f: x→ 5x-8

a. f(-4) = 5(-4) - 8 = -20 - 8. = -28

b. the value of x whose image is 12

To find the value of x ,we have to solve f(x) = 12

f(x) = 12

⇔ 5x-8 = 12

⇔ 5x = 12 + 8

⇔ 5x = 20

⇔ x =  20 ÷ 5 = 4

Which smallest number is subtracted from the number 12675 to make it a perfect square?​

Answers

The smallest number subtracted from the problems is 4

What is the value of F(x)=-x+9 if x=-7

Answers

Answer: F = - 2/7

Step-by-step explanation:

[tex]f(x) = x + 9\\f(-7) = -7 + 9\\f(-7) = 2\\f = -\frac{2}{7}[/tex]

Find the value of x.
5+x=7
x = [?]

Answers

Answer:

x = 2

Step-by-step explanation:

Find the value of x.

5+x=7

x = [?]

5 + x = 7

x = 7 - 5

x = 2

----------------check

5 + 2 = 7

7 = 7

the answer is good

1/2 inch represents a distance of 1/8 mile.her house is two miles away from school

Answers

Answer:

1/6

Step-by-step explanation:

the answer is 1/6th use subtraction


A bag contains 15 red candies, 15 yellow candies, and 15 blue candies. What is the probability of randomly
choosing two candies of the same color, without replacement?

Answers

[tex]|\Omega|=45\cdot44=1980\\|A|=15\cdot14\cdot3=630\\\\P(A)=\dfrac{630}{1980}=\dfrac{7}{22}\approx31.8\%[/tex]

Solve the radical equation.
√x+3-1= x

Answers

Answer:

x = 1

Step-by-step explanation:

Radical expression:

√(x+3)-1 = x

Let's find the value of x.

Solved:

√(x+3)-1 = x

Transpose -1 to RHS:

=> √(x+3) = x+1

Squaring both LHS and RHS,we have:

=> √(x+3)^2= (x+1)^2 => x+3 = x²+2x+1

Subtracting x^2+2x+1 from both sides,we have:

=>x+3−(x²+2x+1)=x²+2x+1−(x²+2x+1)=> −x^2−x+2=0

Factoring LHS,we have:

=>(−x+1)(x+2)=0

Setting (-x+1) = 0 and (x+2) = 0 each time:

=>(-x+1) = 0=> x-1 = 0=> x = 0+1=> x=1

Now

=> (x+2) = 0=> x= 0-2=> x = -2

There are two solutions– (1,-2)

Let's plug to the given equation to check.

x = 1 :

√(x+3) -1 = x

√(1+3)-1 = 1√4 - 1 = 12 - 1 = 11 = 1

Equation is true,when plugged to x = 1.

x = -2:

√(x+3) -1 = x

√(2+3) - 1 = -2√5 -1 = -22.23606 - 1 = -21.236 = -2

Equation is false,when plugged to x = -2.

Hence,the value of x is 1.

-Regards,Hannah

Can someone please explain how the answer to this is, "19 and 3", "1 and 12"

Answers

Using the image given, the angles that are Alternate Exterior Angles are: 1, 2, 3, 4,13,14, 18, 19.

What are Alternate Exterior Angles?

These are known to be the Alternate exterior angles that are regarded as the pair of angles found on the outer side of the two parallel lines but they are seen on the opposite side of the transversal.

Note that in the image given, there are two parallel lines and two transversal lines.

Note also that to get the Alternate exterior angles, it has to be the angles seen on the seen on the opposite side of the transversal that has crossed the parallels lines and from the image given, only angle 1, 2, 3, 4,13,14, 18, 19 fit into the description.

Therefore, Using the image given, the angles that are Alternate Exterior Angles are: 1, 2, 3, 4,13,14, 18 19.

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Umberto plants a garden with an area of 16 square feet. What is the area of the garden in square inches

Answers

Answer:

2,304 inches

Step-by-step explanation:

1 square foot = 144 square inches

16 x 144 = 2,304 square inches

what is the range of exponential function f(x)=9*2^x

Answers

Answer:

uhm smhtn

Step-by-step explanation:

i really just want points.

Answer:

(0,infinity)

Step-by-step explanation:

.

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