Answer:
ST = 8 m
Step-by-step explanation:
Since ∆PQR is congruent to ∆STU, therefore, the three sides of ∆PQR would be congruent or equal to the corresponding three sides of ∆STU.
PQ corresponds to ST.
Therefore, PQ is congruent to corresponding side ST, which is 8 m
ST = 8 m
What are the possible numbers of positive real, negative real, and complex zeros of f(x) = 6x3 − 3x2 + 5x + 9?
Answer:
Positive Roots: 2 or 0
Negative Roots: 1
Step-by-step explanation:
f (x) = 6x3 − 3x2 + 5x + 9
To find the possible number of positive roots, look at the signs on the coefficients and count the number of times the signs on the coefficients change from positive to negative or negative to positive.
f (x) = 6x3 − 3x2 + 5x + 9
Since there are 2 sign changes from the highest order term to the lowest, there are at most 2 positive roots (Descartes' Rule of Signs). The other possible numbers of positive roots are found by subtracting off pairs of roots (2 − 2).
Positive Roots: 2 or 0
To find the possible number of negative r oots, replace x with −x and repeat the sign comparison.
f (−x) = 6(−x)3 − 3(−x)2 + 5 (−x) + 9
Simplify each term.
Apply the product rule to −x.
f (−x) = 6 ((−1)3x^3) − 3(−x)^2 + 5 (−x) + 9
Raise −1 to the power of 3.
f (−x) = 6 (−x^3) − 3(−x)^2 + 5 (−x) + 9
Multiply −1 by 6.
f (−x) = −6x^3 − 3(−x)^2 + 5 (−x) + 9
Apply the product rule to −x.
f (−x) = −6x^3 − 3 ((−1)^2(x^2)) + 5 (−x) + 9
Raise −1 to the power of 2.
f (−x) = −6x^3 − 3 (1x^2) + 5 (−x) + 9
Since there is 1 sign change from the highest order t erm to the lowest, there is at most 1 negative
root (Descartes' Rule of Signs). Negative Roots: 1
The possible number of positive roots is 2 or 0, and the possible number of negative roots is 1. Positive Roots: 2 or 0
Negative Roots: 1
-4 (4x + 12)= -2(8x+24)
Help me pls pls pls
Answer:
omg I'm doing the same thing
Which statement about 4(x-3) is true?
O A. 4(x-3) has three terms.
OB. 4(x-3) is a sum.
O C. 4(x - 3) is a product.
O D. 4(x-3) has two variables.
A bowl holds the 10 pieces of fruit shown below.
If Jasmine writes the fraction of fruit that are apples and does not reduce the fraction, which of the following would be the numerator of the fraction?
Answer: 10
Step-by-step explanation: 10 is the total number of all the fruits so that is what you are dividing by
Answer:
Step-by-step explanation:
Think about all the ways in which a line and a parabola can intersect select all the numbers of ways in which a line in a parabola can intersect 01234 infinitely many
Answer:
0, 1, 2
Step-by-step explanation:
There is a way for them to intersect at 0 points, for example y=x^2 and y = -1
The way to intersect at 1 point is for the linear function to be tangent to the parabola, like y = x^2 and y = 0
The way to intersect 2 points is just for the linear function to be a secant to the parabola, like y = x^2 and y = 1
A deck of cards contains RED cards numbered 1,2,3,4,5,6 and BLUE cards numbered 1,2,3. Let R be the event of drawing a red card, B the event of drawing a blue card, E the event of drawing an even numbered card, and O the event of drawing an odd card. Drawing the Blue 2 is one of the outcomes in which of the following events?
a. R OR O
b. B AND O
c. R OR E
d. R AND O
e. R′
f. E
Answer: c. R OR E
e. R′
f. E
Step-by-step explanation:
Outcomes for Red card ={1,2,3,4,5,6} = 6
Outcomes of Blue card = {1,2,3} =3
R = event of drawing a red card, B = event of drawing a blue card, E=event of drawing an even numbered card, and O = event of drawing an odd card.
Then, R= {1R,2R,3R,4R,5R,6R} , B= {1B,2B,3B}
E={2R, 4R, 6R , 2B}
O = {1R, 3R, 5R, 3B}
R or O = { 1R,2R,3R,4R,5R,6R ,3B} [all elements of R and O]
B and O = {3B} [all elements common in B and O]
R or E = {1R,2R,3R,4R,5R,6R,2B }
R and O = {1R, 3R, 5R} [all elements common in R and O]
R' = B= {1B,2B,3B} [all elements except R]
Blue 2 = 2B belongs to B, R or E, R' and E.
Correct options are c. e. f.
Answer:
Blue 3
E'
B AND O
Step-by-step explanation:
7. How many terms are in the expression?
7q+6q + 2 .
(1 Point)
Answer:
3 terms
Step-by-step explanation:
Hi there!
Terms are constants or variables in an algebraic expression separated by plus and minus signs.
With this information, that means that 7q is a term, 6q is a term, and 2 is a term.
Without simplifying the expression, there are 3 terms.
I hope this helped!
A 3 slope:3/2
B 3 slope -3/2
C -3 slope 3/2
D -3 slope -3/2
Answer:
C. y-intercept: -3
slope: 3/2
Step-by-step explanation:
✔️The line cuts across the y-axis at y = -3. Therefore the y-intercept = -3.
✔️Slope of the line using two points on the line, (0, -3) and (2, 0):
[tex] slope (m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{0 - (-3)}{2 - 0} = \frac{3}{2} [/tex]
Slope = ³/2
Mei runs 93.24 miles in 3 weeks. If she runs 6 days each week, what is the average distance she runs each day?
Answer:
5.18 miles each day
Step-by-step explanation:
3 weeks × 6 days = 18 days
93.24 miles in 18 days gives an average of 93.24 ÷ 18 = 5.18 miles per day
Points!
( you cant respond from the last 2 i did)
have a nice day :)
Answer:
Thank youuuu!!
Jayla paints a book case. She uses 1 5/6 cups of paint on the outside of the book case and 3/8 cup of paint on the inside. How many cups of paint does Jayla use altogether
Answer:
Answer: Kayla used 2&5/24 cups of paint all together.
Step-by-step explanation:
Kayla paints a bookcase by using
1 5/6 cups of paint on the outside of the bookcase. Converting 1 5/6 cups to improper fraction, it becomes 11/6 cups of paint.
She also used 3/8 cup of paint on the inside.
Therefore, the total number of cups of paint that Kayla used all together would be cups of paint:
[tex]11/6 + 3/8 = (44 + 9)/24 = 53/24[/tex]
Converting to mixed fraction, it becomes
2 and 5/24 cups of paint
A thrill at an amusement park travels 55 miles per hour.Round to the nearest hundredth,how many feet per second is this?
9514 1404 393
Answer:
80.67 fps
Step-by-step explanation:
1 mi/h = 22/15 ft/s
Multiplying this equation by 55, we get ...
55 mi/h = 1210/15 ft/s = 80 2/3 ft/s ≈ 80.67 ft/s
Consider the figure below.
part a- Determine sin(g)
part b- Determine tan(z)
part c- Determine cos(z)
part d- Determine sin(M)
Answer:
A) 77/427
B) 77/420
C) 420/427
Step-by-step explanation:
Sin= Opposite/Hypotenuse
Opposite always make a 90° with the Adjacent. adjacent and the Hypotenuse are across each other.
Cos= Adjacent/Hypotenuse
Tan= Opposite/Adjacent
Answer:
part a: 420/427
part b: 420/77
part c: 77/427
Find the missing endpoint if the midpoint is at (2,-5) and one endpoint is at (12,-5).
O (2,-5)
O(-8,-5)
O(10-8)
O (12,-5)
Answer:
The answer is (-8,-5)
Step-by-step explanation:
Since the midpoint is (2, -5), the 2 endpoints should be equidistant from each other. Since the endpoint that is given (12, -5), is 10 points to the right of the midpoint, the second midpoint should be 10 points to the left of it. 2-10=-8
Therefore, the other midpoint is (-8,-5)
An item is regularly priced at $33. It
now priced at a discount of 55% off the regular price.
Use the ALEKS calculator to find the price now.
Answer
$14.85
Step-by-step explanation:
calculate 33.00 x .55= 18.155 (thats the discount) subtract it from the cost
33.00 -18.15 +$14.85
Anyone know the answer to this help me out please
Answer:
C.
Step-by-step explanation:
< is less than the one with the line is less than equal to
Answer:
D
Step-by-step explanation:
Since there's a circle on -3 then it's not considered on the graph and a dot on 4 so it's considered.
[tex] - 3 < x \leqslant 4[/tex]
there are 12 ribbons all of them equal 3 feet how long is each ribbon?
Answer:
i think
12 x 3 = 36 feet long
Answer:
36 feet and maybe check me out on sou-ndcloud and spo-tify and rate a sound I made "Jealousy is a bltch I hate her" might wanna turn down ur headphones and audio in general
Step-by-step explanation:
Solve the question below, please
Answer:
4.621
Step-by-step explanation:
You'll use the sine rue
Answer:75
Step-by-step explanation:
C=180 - (68 + 37)
=180 - 105
=75
Which number line best shows how to solve this? please help quickly thank you!
Answer:
Step-by-step explanation:
I attached the work and answer below, take a look!
Simplify the expression: 12x+3x+4x
Answer:
19x
Step-by-step explanation:
12+3+4=19
19x
Answer:
12x+3x+4x=19x
Step-by-step explanation:
A = {3,5,7,9}
B = {2, 4, 6, 8, 10)
C = {12, 14, 18, 20, 24}
D = {21, 26, 31, 36}
Given the sets above, fill-in the blank: 7 €
Simplify using order of operations.
7(6 + 3) - 4 x 5
Answer:
7 × 9 - 4 × 5
63-20= 43
Step-by-step explanation:
we start with () then multiplication then subtract we use the BEDMAS method in order.
B: brackets
E: exponents (powers)
D: divide
M: multiply
A:addition
S: subtract
I will give brainliest out to anyone who answers correctly please helpmeeee
Answer:
4,5,9
8,9
35
Step-by-step explanation:
hope this helps
Solve x2 − 7x = −12. (6 points) Question 8 options:
1) x = 2 and x = 6
2) x = 6 and x = −2
3) x = −4 and x = −3
4) x = 4 and x = 3
Which best describes a difference between SALT I and SALT II?
SALT I limited weapons, while SALT II limited launchers.
SALT I expanded the production of arms, while SALT II limited production.
SALT I allowed the sides to trade weapons, while SALT II expanded this practice.
SALT I limited military forces of each country, while SALT II allowed their growth.
The difference between SALT I and SALT II is SALT I limited weapons, while SALT II limited launchers. So, correct option is A.
The Strategic Arms Limitation Talks (SALT) were a series of negotiations between the United States and the Soviet Union to limit and reduce the number of nuclear weapons and delivery systems.
SALT I was signed in 1972 and focused on limiting the number of ballistic missiles and bombers each side could possess. It also established a system for verifying compliance with the treaty.
SALT II was signed in 1979 but was never ratified by the U.S. Senate due to increased tensions between the two countries. SALT II aimed to further reduce the number of strategic nuclear weapons and delivery systems, but unlike SALT I, it focused on limiting the number of launchers rather than weapons themselves.
Therefore, the correct answer is A.
To learn more about SALT click on,
https://brainly.com/question/29569705
#SPJ1
Answer:
I just took the test and I can confirm that the answer is A
Step-by-step explanation:
Find The Amount Of Time
I = $60, P = $750, r = 4%
Answer:need help with what question?
Step-by-step explanation: what question?
The population of a community of foxes is observed to fluctuate on a 10-year cycle due to variations in the availability of prey. When population measurements began (t=0, the population was 35 foxes. The growth rate in units of foxes>>year was observed to be P′(t)=5+10sinπt/5
a. What is the population 15 years later? 35 years later?
b. Find the population P(t) at any time t≥0.
Answer:
Population 15 years later P(15) = 100 + 50/π
Population 35 years later P(35) = 200 + 50/π
Population any t ≥ 0 P(t) = 35 + 50 /π + 5*t + 10*cos(π*t/5)
Step-by-step explanation:
P´(t) = 5 + 10*sinπt/5 ⇒ dP/dt = 5 + 10*sinπt/5
dP = ( 5 + 10*sinπt/5 ) *dt
P(t) = ∫ ( 5 + 10*sinπt/5 ) dt
P(t) = 5*t + 10 * ∫ sinπ*t/5* dt
P(t) = 5*t - 10*5/π *cos πt/5 + k
To determine k t = 0 P(t) = 35
P(0) = 5*0 - 50/π (1) + k
35 = - 50/π + k
k = 35 + 50/π and
P(t) = 5*t + 10*cos(π*t/5) + 35 + 50/π
b)P(t) = 35 + 50 /π + 5*t + 10*cos(π*t/5) (1)
a) Population 15 years later
P(15) = 35 + 50/π + 5*15 - 10
P(15) = 100 + 50/π
Again from equation (1)
P(35) = 35 + 50 /π + 5*35 + 10*cos(35*π/5)
P(35) = 35 + 50/π + 175 + 10*cos (7*π )
P(35) = 210 + 50/π - 10
P(35) = 200 + 50/π
If 200 of the 550 reptiles in as you are on display what percent of the reptiles are on display
Answer:
200/550×100%
=20000/550
=36.37%
Please help this is worth 30 points