MATHEMATICS HIGH SCHOOL

If DE = 7x + 3 and EF = 9x - 19,
then EF = ?

Answers

Answer 1
Answer:

The measure of line segment EF from the given line segment DF is 80 units.

From the given line segment DE=7x+3 and EF=9x-19.

A midpoint of a line segment is the point on a segment that bisects the segment into two congruent segments.

In the given line segment DE=EF

7x+3=9x-19

3+19=9x-7x

2x=22

x=(22)/(2)

x=11

Substitute x=11 in EF=9x-19, we get

EF=9(11)-19

EF=80

Therefore, the measure of line segment EF is 80 units.

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Answer 2
Answer:

Answer:

Step-by-step explanation:

7x + 3 = 9x - 19

-2x + 3 = -19

-2x = -22

x = 11

DE= 7(11) + 3 = 77 + 3 = 80

EF = 9(11) - 19 = 99 - 19 = 80

80 + 80 = 160 for DF

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You have 26 cards, each labeled with a letter of the alphabet. What is the probability of drawing a card that contains one of the letters in the word 'MATH'?A)
1
676

B)
2
13

C)
2
26

D)
3
26

Answers

The probability of drawing a card that contains one of the letters in the word 'MATH' is 2 / 13. The correct option is B.

What is the probability?

Probability is defined as the ratio of the number of favourable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.

Probability = Number of favourable outcomes / Number of samples

Given that you have 26 cards, each labelled with a letter of the alphabet.

The probability of drawing a card that contains one of the letters in the word 'MATH' is calculated as:-

Probability = Number of favourable outcomes / Number of samples

Probability = 4 / 26

Probability = 2 / 13

Therefore, the probability of drawing a card that contains one of the letters in the word 'MATH' is 2 / 13. The correct option is B.

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The dimensions of a conical funnel are shown below:A conical funnel is shown with the height of the cone as 6 inches and the radius of the base as 2 inches.

Nadia closes the nozzle of the funnel and fills it completely with a liquid. She then opens the nozzle. If the liquid drips at the rate of 10 cubic inches per minute, how long will it take for all the liquid to pass through the nozzle? (Use π = 3.14.)
2.51 minutes
7.53 minutes
4.18 minutes
3.14 minutes

Answers

Volume of a conical funnel = π r² h/3
v = 3.14 * (2in)² * 6in/3
v = 3.14 * 4in² * 2in
v = 25.12 in³

25.12 in³ ÷ 10 in³ per minute = 2.512 minutes

It will take 2.51 minutes for all the liquid to pass through the nozzle.

Answer:

2.51 minutes

Step-by-step explanation:

Step 1: Find the total volume of the funnel

The volume of a cone can be calculated by below formula:

V=(1)/(3)pi*r^(2)h

Where V is volume, pi is π, r is the radius of the base of the cone and h is the height of the cone

pi = 3.14

r = 2 inches

h = 6 inches

V=(1)/(3)pi*r^(2)h

V=(1)/(3)*3.14*2^(2)*6

V=25.12 in^(3)

Step 2: Determine the time taken for funnel to empty

Assuming rate of emptying of funnel is constant

t=(V)/(R)

Where t is the time taken to empty the funnel and R is the rate at which the liquid drips

V = 25.12 cubic inches

R = 10 cubic inches/minute

t=(V)/(R)

t=(25.12)/(10)

t=2.512 minutes

Solve the given polynomial equation. Use the Rational Zero Theorem and Descarte's Rule of Signs as an aid in obtaining the first root.6x^3-7x^2-6x-1=0
What is the solution set?

Answers

Decartes rule! Haha if I get this right it should be 0 positives because the signs never change and 2 negative zeros I believe if you replace the x with -x

If you need the p+q's just ask here and I'll help more :D

What's the answer ? I'm almost positive you do multiplication first then add but not I'm not sure . 1*2+3*4+5*6= 44

Answers

PEMDAS
multiply first

1*2=2
3*4=12
5*6=30

now we have
2+12+30=44
add
2+12=14
14+30=44
44=44
true

Read these lines of poetry: O say, can you see, by the dawn's early light,
What so proudly we hailed at the twilight's last gleaming?

In which poem do these lines appear?

A.
"The Star-Spangled Banner"

B.
"This Land is Your Land"

C.
"I Hear America Singing"

D.
"America the Beautiful"

Answers

the answer would be A. that is our national anthum

Answer:

A "The Star-Spangled Banner" (Our National Anthem)

Step-by-step explanation:

juliana bought 3bottles of nail polish for 5.95 each and 1 nail polish cleaner for 1.50 if the sales tax was 7%the total cost of juilana purchase is?

Answers