Answer:
Two distinct lines intersecting each other at 90° or a right angle are called perpendicular lines. Here, AB is perpendicular to XY because AB and XY intersect each other at 90°. The two lines are parallel and do not intersect each other. They can never be perpendicular to each other.
Step-by-step explanation:
hope it helps:)
Solve the system 8y-5z=23 3y-2z=6
100 POINTS
Answer:
z = 21 ; y= 16
Step-by-step explanation:
first of all we have to isolate a variable.
In second expression we can obtain:
3y = 2z+6
y = 2/3 z + 2
now we have to substitute this value in the first equation and solve it
8(2/3z+2)-5z = 23
16/3z + 16 -5z = 23
16z +48 - 15z = 69
z = 21
now we have to substitute z in the second equation:
y = 2/3 (21) +2
y = 14+ 2 = 16
y = 16
Find the measurement indicated in each parallelogram.
1)
с
40°
D
E
Answer:
D=40
C=140
E=140
Step-by-step explanation:
opposite angles are congruent in parallelograms, so D is equal to 40. Also, the interior angles of any quadrilateral always equal 360, and because there are only 2 angles left that we don't know what they equal, if we add 40 to 40, which equals 80, and then subtract 80 from 360, we get 280, which we then divide by 2, to get 140 for C and E.
What is the volume of the fish tank if the base is 4 feet, the width is 2 feet, and
the height is 3 feet? Be sure to label your units.
Answer:
24 ft³
Step-by-step explanation:
The volume formula for a rectangular prism is ...
V = LWH
V = (4 ft)(2 ft)(3 ft) = 24 ft³
The volume of the fish tank is 24 cubic feet.
Help me with this problem please
Answer:
[tex](a)\ A_1 = s^2[/tex]
[tex](b)\ A_2 = 4s^2[/tex]
(c) 4 small squares
Step-by-step explanation:
Given
Small Square:
[tex]Dimension: s[/tex]
Large Square:
[tex]Dimension: 2s[/tex] i.e. twice as long as the small square
Solving (a): The area of the small square.
This is calculated as
[tex]Area = Length^2[/tex]
So, we have:
[tex]A_1 = s^2[/tex]
Solving (b): The area of the large square.
This is calculated as
[tex]Area = Length^2[/tex]
So, we have:
[tex]A_2 = (2s)^2[/tex]
[tex]A_2 = 4s^2[/tex]
Solving (c): Number of small square to cover the large square
To do this, we simply divide their areas.
Let n represents the required number; n is calculated as:
[tex]n = \frac{A_2}{A_1}[/tex]
[tex]n = \frac{4s^2}{s^2}[/tex]
[tex]n = 4[/tex]
Hence, 4 small squares is required to cover the large square
Yuki bought a drop–leaf kitchen table. The rectangular part of the table is a 1–by–5–foot rectangle with a semicircle at each end, as shown.
Answer:
iodfk
Step-by-step explanation:
33.3% as a fraction please helppppppppppp
Answer:
[tex]\frac{1}{3}[/tex]
Step-by-step explanation:
1/3 is the fraction form of 33.3% or 0.333
y=((3x+1)³)-², find dy/dx
Devon has $5,768 in his savings account, which is $2,709 more than Serena has in her savings account. How much money does Serena have in her savings account?
a cone has a height of 35 and a radius of 19
Answer:
Step-by-step explanation:
The radius should be 17.5 if the height is 35. And also what is the question?
Answer:
Base area = 1,134.115
Lateral surface = 2,377.142
Slant height = 39.825
Surface area = 3,511.257
Volume = 13,231.341
Step-by-step explanation:
Find the area 5 3/4 x 9 3/4
Answer:
56.0625
Step-by-step explanation:
5 3/4x 9 3/4=56.0625
Answer:
Area = 7 km x 5 km = 35 km2 ... by either an addition, subtraction, or some other combination of operations to find the required area. ... ½ x base x height ½ x 9 x 4 = 18. Area of rectangle part: width x height 9 x 6 = 54.
Step-by-step explanation:
How can I find f?
Please help if you can!
Answer:
63°
Step-by-step explanation:
i=62° f+i=125° 125-62=63
State the null hypothesis H0 and the alternative hypothesis Ha in each case. Be sure to identify the parameters that you use to state the hypotheses.
(a) A university gives credit in first-year calculus to students who pass a placement test. The mathematics department wants to know if students who get credit in this way differ in their success with second-year calculus. Scores in second-year calculus are scaled so the average each year is equivalent to a 75. This year 17students who took second-year calculus passed the placement test.
H0:μ>75;Ha:μ=75
H0:μ<75;Ha:μ=75
H0:μ=17;Ha:μ>17
H0:μ=17;Ha:μ≠17
(b) Experiments on learning in animals sometimes measure how long it takes a mouse to find its way through a maze. The mean time is 24 seconds for one particular maze. A researcher thinks that playing rap music will cause the mice to complete the maze slower. She measures how long each of 17 mice takes with the rap music as a stimulus.
H0:μ=24sec;Ha:μ>24sec
H0:μ=24sec;Ha:μ≠24sec
H0:μ>17sec;Ha:μ=17sec
H0:μ=17sec;Ha:μ<17sec
H0:μ=24sec;Ha:μ<24sec
(c) The average square footage of one-bedroom apartments in a new student-housing development is advertised to be 850 square feet. A student group thinks that the apartments are smaller than advertised. They hire an engineer to measure a sample of apartments to test their suspicion.
H0:μ=850ft2;Ha:μμ850ft2
H0:μ>850ft2;Ha:μ=850ft2
H0:μ=850ft2;Ha:μ>850ft2
H0:μ=850ft2;Ha:μ<850ft2
H0:μ<850ft2;Ha:μ=850ft2
Answer: (A)
[tex]H_0:\mu=75\\H_a:\mu\neq75[/tex]
(B)
[tex]H_0:\mu=24\ sec\\H_a:\mu>24\ sec[/tex]
(C)
[tex]H_0:\mu=850\ ft^2\\H_a:\mu<850 \ ft^2[/tex]
Step-by-step explanation:
Null hypothesis [tex](H_0)[/tex]: It is a statement showing population parameters as per the objective of the study. It generally takes "≤,≥,=" signs. Alternative hypothesis [tex](H_a)[/tex]: It is also a statement describing population parameters as per the objective of the study. It generally takes ">, <, ≠" signs.(A) Objective: Scores in second-year calculus are scaled so the average each year is equivalent to a 75 or not.
[tex]H_0:\mu=75\\H_a:\mu\neq75[/tex]
(B) Objective: The mean time is 24 seconds or more for one particular maze.
[tex]H_0:\mu=24\ sec\\H_a:\mu>24\ sec[/tex]
(C) Objective: The average square footage of one-bedroom apartments in a new student-housing development is advertised to be 850 square feet or smaller.
[tex]H_0:\mu=850\ ft^2\\H_a:\mu<850 \ ft^2[/tex]
What is the equation of the line that is parallel to the line y = 3x - 4 and passes
through the point (4, -2)?
A. Y= 3x + 2
B. y= 3x - 14
O C. --}x
D. y = 3x + 14
Answer:
B. y = 3x - 14
Step-by-step explanation:
Since the line is parallel, your slope will be 3. You're given a point, so you can use point-slope form to find the equation. Point-slope form is:
y - y1 = m(x - x1) where (x1, y1) is the point that they gave you and m is the slope. So:
y - (-2) = 3(x - 4) --> Start to simplify this by changing - (-2) to +2 and distributing the 3 to (x - 4).
y + 2 = 3x - 12 --> Subtract 2 from both sides.
y = 3x - 14
Pls help math question
Answer:
Year 2004
Step-by-step explanation:
Population of a country in year 1995 = 286
Model that expresses the growth rate of the population is,
P(t) = [tex]286(1.009)^{t-1995}[/tex]
Here, t = year
a). For P = 311 million people
311 = [tex]286(1.009)^{t-1995}[/tex]
[tex]\text{log}(\frac{311}{286})=\text{log}(1.009)^{t-1995}[/tex]
log(311) - log(286) = (t - 1995)log(1.009)
2.4928 - 2.4564 = (t - 1995)(0.00389)
[tex]\frac{0.03639}{0.00389}=t-1995[/tex]
t = 1995 + 9.4
t = 2004
In year 2004 population of the country will be 311.
9. Which of the following fractions is equivalent to 1.68?*
25
17
25
42
A
OB.
42
7
25
4.
7 2/3 + 8 1/2 + 4 1/6 =
Answer:
20 1/3 or 61/3
Here you go, have a nice day!!
ℎ()=―4+ 5, find the value of ℎ(–3)
Answer:
Step-by-step explanation:
Suppose that f(2) = −4, g(2) = 3, f '(2) = −5, and g'(2) = 1.
Find h'(2).
(a) h(x) = 4f(x) − 5g(x)
Use the constant multiple and difference rules:
h'(x) = 4f '(x) − 5g'(x)
h'(2) = 4*f'(2) − 5*g'(2), now substitute values and solve
h'(2) = 4*(−5) − 5*1 = −20 − 5 = −25
a circle centered ar the the orgin has a radius of 1/2 what is the equation of the circle
Answer:
The equation of the circle is [tex]x^2 + y^2 = \frac{1}{4}[/tex]
Step-by-step explanation:
Equation of a circle:
The equation of a circle with center [tex](x_0,y_0)[/tex] and radius r is given by:
[tex](x - x_0)^2 + (y - y_0)^2 = r^2[/tex]
Centered at the the origin
Center (0,0), which means that [tex]x_0 = 0, y_0 = 0[/tex]
radius of 1/2
This means that [tex]r = \frac{1}{2}[/tex]
Equation:
[tex](x - x_0)^2 + (y - y_0)^2 = r^2[/tex]
[tex](x - 0)^2 + (y - 0)^2 = (\frac{1}{2})^2[/tex]
[tex]x^2 + y^2 = \frac{1}{4}[/tex]
The equation of the circle is [tex]x^2 + y^2 = \frac{1}{4}[/tex]
I need help with this question can someone help plz
Answer:
The height is 13.3 in
Step-by-step explanation:
Pythagorean Theorem
23.5²+b²=27²
552.25+b²=729
b²=729-552.25
b²=176.75
b=√176.75
13.2947
Which expression gives the distance between the points (5, 1) and (9,-6)?
O A. 5-9)2 + (1 - 6)?
O B. V5-9)2 + (1+6)2
O C. (5-9)? +(1+6)2
O D. (5-9)2 + (1 - 6)2
SUBMIT
Answer:
B
Step-by-step explanation:
Please help i need to get these right or i fail WILL GIVE BRAINLEST!!!
Answer:
Give brainly to other guy
Step-by-step explanation:he deserves it
Find the area of a pentagon with an apothem of 7.3 and a side length of
10.6. Round to the nearest tenth if necessary.
9514 1404 393
Answer:
193.5 square units
Step-by-step explanation:
The area formula for this situation is ...
A = 1/2Pa
where P is the perimeter of the regular polygon, and 'a' is its apothem. For a pentagon, the perimeter is 5 times the side length, so the area is ...
A = (1/2)(5×10.6)(7.3) = 193.45
To the nearest tenth, the area is 193.5 square units.
The measure of arc AB is °.
The measure of angle AOB is °.
The measure of angle BDA is °.
Answer:
50,50,25
Step-by-step explanation:
Answer:
50,50.25
Step-by-step explanation:
$16,000 is invested for 3 years with an APR of 3% and daily compounding. The balance in the account after 3 years is
Answer:
$17,440
Step-by-step explanation:
the interest every year
=$16,000×3%
=$16,000×3/100
=$480
the balance after 3 years
=$16,000+3($480)
=$16,000+$1,440
=$17,440
ZA and ZB are vertical angles. If mZA = (3.C – 9)° and m B = (x+3)°, then find the value of x.
Answer:
x = 6
Step-by-step explanation:
Vertical angles in a geometry are equal. Hence m<A = m<B
Given that
m<A = 3x - 9
m<B - x+3
Then 3x - 9 = x+3
3x - x = 3 + 9
2x = 12
Divide both sides by 2
2x/12 = 12/2
x = 6
Hence the value of x is 6
One hundred sixty people who suffer from painful diabetic neuropathy have volunteered to participate in a study. Eighty are selected at random and are given the drug gabapentin, which, although originally intended to prevent epileptic seizures, has properties that may make it useful to alleviate neuropathy. The remaining participants are given a placebo. A neurologist evaluates the symptoms of all volunteers after two months to determine if there has been substantial improvement in the severity of the symptoms.
Does the use of volunteers make this study invalid?
a. yes, because of volunteer bias no, because blocking was used.
b. yes, because there is no way to determine the effect of gabapentin on people that do not have symptoms of neuropathy.
c. no, because the subjects are randomly assigned to treatment groups.
Answer:
C. No, because the subjects are randomly assigned to treatment groups
Step-by-step explanation:
We are told that 80 people are selected at random and are given the drug gabapentin.
Also that the remaining people are given the placebo.
This means that they are randomly assigned treatment groups and so it is a completely randomized block design and as such the use of volunteers doesn't make it invalid.
Los números 4,3×-3,4× esta en progesion aritmética cuál es el cuarto termino
Answer: Le preguntaste a tu maestro?
Step-by-step explanation:
Please help before 7 min
Answer:
The Value of x = 23.1 unit
Step-by-step explanation:
Given:
Parallel line intersect
Find:
The value of "X"
Computation:
We know that given lines are parallels
So, by using Ratio theorem we can find the value of "x"
Ratio theorem of parallel lines say
AB / BC = AD / DE
So,
14 / 20 = x / 33
x = [14 x 33] / 20
The Value of x = 23.1 unit
This morning, Manny took a history test. There were 50 multiple-choice problems on the test
and Manny answered 10% of them correctly. How many problems did Manny get right?
Answer:
He got 5 right
Step-by-step explanation:
10% = 0.1
50(0.1) = 5
Answer:
5 questions were answered correctly
Step-by-step explanation:
10% of 50 is 5. So that means 5 questions were answered correctly.
17. Stella is competing in a diving competition. Her height in feet above the water is
modeled by the function h=-16t? + 8t + 48, where t is the time in seconds after she jumps
from the diving board. At what time will Stella land in the water? (Round to the nearest
hundredth, if necessary.)
9514 1404 393
Answer:
after 2 seconds
Step-by-step explanation:
We want to find t such that h = 0.
0 = -16t² +8t +48
0 = 2t² -t -6 . . . . . . . divide by -8
0 = (t -2)(2t +3) . . . . factor
The only positive solution is t = 2, which makes the first factor zero.
Stella will land in the water at t = 2 seconds.