Answer:
The dependent variable is h and the independent variable is t
Step-by-step explanation:
Given
[tex]h(t) = 4t + 5[/tex]
Required
The dependent and the independent variable
The [tex]dependent[/tex] [tex]variable[/tex]is the [tex]variable[/tex] whose value [tex]depends[/tex] on another.
In the above equation, the height (h) depends on time (t) for its value
Hence,
The [tex]depe ndent[/tex] [tex]variable[/tex] is h and the [tex]indep endent[/tex] [tex]variable[/tex] is t
HELP
A group of students is traveling to a baseball game on a rented bus. The cost to rent the bus is $100 and each ticket to the game costs $15.
The students decide that the cost per person should be less than $25.
Which inequality could be used to find the number of people, p, needed to go to the game in order to keep the cost below $25?
A
100-15p
> 25
р
Ha
B.
100-15p
<25
P
100+15p
c
> 25
р
OD
100+15p
P
<25
Answer:
100+15p < 25p
Step-by-step explanation:
Note that
> means greater than
< means less than
≥ means greater than or equal to
≤ less than or equal to
total cost of travelling = cost to rent a bus + total cost of ticket for p persons
100 + 15p
they want to spend less than an average cost of 25 per p people
they want to spend less than 25p
since they dont want to spend less than 25p, < would be used
100+15p < 25p
Hiiioo!! Can you please help me out with this!!! ❤️❤️:) (9)
9514 1404 393
Answer:
segment SRGivensegment PRSSS postulateStep-by-step explanation:
1. The only "Given" statement involving QR is ...
QR ≅ SR
2. You will notice that PQ ≅ PS is a Given statement.
3. The reflexive property says a segment is congruent to itself:
PR ≅ PR
4. All three sides of the triangles have been shown to be congruent. The appropriate choice for the postulate that shows congruence of the triangles is the SSS Postulate.
angad was thinking of a number. angad halves the number and gets an answer of 78.5. form an equation with x from the information
Answer:
157
Step-by-step explanation:
Let the number Angad was thinking be 'x'
Equation:-
1/2(x) = 78.5
x = 78.5(2)
x = 157
The diagram below is a kite. Find the slope of each side of the kite then use that information to explain why the kite is NOT a
parallelogram
Your answer might look like this (you can copy-paste the sentences below and fill in the blanks)
The slope of the side AB is The slope of the side CD is_
The slope of the side BC is
The slope of the side AD is
Finding the slopes tell me that the kite is NOT a parallelogram because
Step-by-step explanation:
the answer is in the above image
please give me brainliest
Which expressions are equivalent
27x/9x
Answer:
3x
Step-by-step explanation:
Answer:
3
Step-by-step explanation:
You have [tex]\frac{27x}{9x}[/tex]
You can factor out the x in the numerator and denominator to get [tex]\frac{27}{9}[/tex]
You can further simplify this by factoring out a 9 => [tex]\frac{3(9)}{(9)}[/tex]
Thus getting 3
Mr. Alen has a tank of volume 450 cm3. Convert the volume into “m3
Answer:
0.00045 [tex]m^{3}[/tex]
Step-by-step explanation:
450 [tex]cm^{3}[/tex] ⇒ [tex]m^{3}[/tex]
1 [tex]cm^{3}[/tex] = 0.000001 [tex]m^{3}[/tex]
= 450 [tex]cm^{3}[/tex] = 450 × 0.000001 = 0.00045 [tex]m^{3}[/tex]
Answer:
450 (cm*3) = 0,00045 (m*3)
Step-by-step explanation:
A sports teacher had 1025 sweets. After distributing these equally amongst all the participants in a sports meet, he had just 1 sweet left with him. Which of these could be the number of sweets given away to each participant?
Answer:
C. 8
Step-by-step explanation:
Options
A. 5
B. 6
C. 8
D. Can't say without knowing the number of participants
Number of sweet distributed = Total number of sweets - left over sweets
= 1025 sweets - 1 left over sweet
= 1024 sweets
Number of participants = Number of sweets distributed / number of sweets given to each participant
A. 5
Number of participants = Number of sweets distributed / number of sweets given to each participant
= 1024 /5 Sweets
= 204.8 participant
B. 6
Number of participants = Number of sweets distributed / number of sweets given to each participant
= 1024/6
= 170.67 participant
C. 8
Number of participants = Number of sweets distributed / number of sweets given to each participant
= 1,024/8
= 128 participant
D. Can't say without knowing the number of participants
From the options given, the number of sweets given away to each participant could be 8
Number of sweets given to each participants is 32.
Since, A sports teacher had 1025 sweets and he had one sweet left after distributing.
So, number of sweets he distributing is, [tex]1025-1=1024[/tex]
Since, distributing these equally amongst all the participants
Therefore, number of sweets given to each participants is, [tex]=\sqrt{1024}=32[/tex]
So, total number of participants is 32 and number of sweets given to each participants is 32.
Learn more about square root here:
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What is the monthly net income?? Show work plz
which function has a domain of all real numbers
please answer accurately I need this to pass my class. thank you.
Answer:
a.y=-x½+5
Step-by-step explanation:
from the above functions ,the highest degree or power is ½ on a.⅓,¼,⅙ are smaller than ½
Line l has a slope of . The line through which of the following pair of points is perpendicular to l?
A. (-5, -6), (3,3)
B.(-9, -6), (3,3)
C. (3,-5), (-6,3)
D. (9,-2),(-6,6)
Answer:
b is the right answer
Step-by-step explanation:
50 POINTS TO WHOEVER ANSWERS THIS NOW!!!! IM TIMED HELP.
One tool used to study refraction is a glass or acrylic prism. Two of the prisms more commonly used to study light refraction are a triangular prism with an equilateral triangle for its base and a triangular prism with a right triangle for its base. In this task, you will check whether the measurements found prove the two given prisms are right prisms and whether their bases are equilateral or right triangles.
The prism said to have an equilateral triangle base has the measurements shown.
Part A
Are the bases of the prism equilateral triangles? Why or why not? Note: The bases of a triangular prism are triangles.
Part B
For this prism to be a right prism, all the lateral faces must be rectangles. Is enough information given to prove the lateral faces are rectangles? Why or why not?
Part C
Without using a protractor, you can determine whether the angles are right angles by measuring the length of the diagonal and applying the converse of the Pythagorean Theorem.
The length of both diagonals for each lateral side is 13 centimeters. From this, can you prove that the lateral sides are rectangles? Why or why not?
Part D
Some of the measurements of the triangular prism with a right triangle base are shown.
What is the length of the hypotenuse of the base?
Part E
Which lateral face has the largest area, the bottom one, left one, or diagonal one? What is its area?
Answer:
A: The bases of a triangular prism are equilateral triangles, since they have equal sides: 5, 5, and 5 yes, since if all lateral faces are rectangles, rectangles are formed from 4 perpendicular segments, thus, if all edges of the lateral faces are perpendicular, then they are rectangles
B:they have equal length sides and equal angles. For this to be true, the bases must be squares. Because it is a right prism, the lateral faces are rectangles.
C:If we have following equation right, then the angle between shorter sides is right angle:
13² = 12² + 5²
169 = 144 + 25
169 = 169
D:4*sqrt(2)
E: LSA of a cube = 100 in²
Step-by-step explanation:
Hope this helps
whats the answer for
x/9+7>10
Answer:
x > 27
Step-by-step explanation:
x/9 + 7 > 10
Subtract 7 from goth sides.
x/9 > 3
Multiply both sides by 9.
x > 27
CAN ANYONE SOLVE THIS QUICK!
Answer:
52.8
Step-by-step explanation:
We take the midpoint of the range as, x
Midpoint = (lower + upper) /2
Midpoint, x ___ Frequency, F
15 ___________ 7
45 __________27
75 __________12
105 __________4
The mean :
Σfx / Σf
= [(15*7) + (45*27) + (75*12) + (105*4)] / (7+27+12+4)
= 2460 / 50
= 52.8
Which of the following is most likely the next step in the series?
Answer:
d
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
The shape starts with 2 dots, then to 3 dots, and then to 4 dots. This means that the next step must have 5 dots, which option D has.
Please help :(((((((((((((
what is the solution to the system of equations graphed below?
Answer:
C. (1, -2)
General Formulas and Concepts:
Algebra I
Reading a coordinate graphCoordinates (x, y)Solving systems of equations by graphingStep-by-step explanation:
Where the 2 lines intersect on a graph will be the solution to the systems of equations. According to the graph given. the lines intersect at (1, -2).
∴ our answer is C.
Answer:
C. (1,-2)
Step-by-step explanation:
with systems of equations, the answer is always where the lines intersect. which in this graph is at (1,-2)
hope this helps! lemme know if you need more
f(x) = x2 What is g(x)?
5+
[f(x)
V
g(x)
(3, 3)
-5-
A. g(x) = 6x2
O B. 90%)-
Given:
The parent function is:
[tex]f(x)=x^2[/tex]
The graphs of f(x) and g(x) are given.
The graph of g(x) passes through the point (3,3).
To find:
The function g(x).
Solution:
From the given graph, it is clear that the graph of f(x) compressed vertically to get the graph of g(x). So,
[tex]g(x)=kf(x)[/tex]
Where, k is the stretch factor.
It can be written as:
[tex]g(x)=kx^2[/tex] ...(i)
The graph of g(x) passes through the point (3,3). Putting [tex]g(x)=3,x=3[/tex] in (i), we get
[tex]3=k(3)^2[/tex]
[tex]3=k(9)[/tex]
[tex]\dfrac{3}{9}=k[/tex]
[tex]\dfrac{1}{3}=k[/tex]
Putting [tex]k=\dfrac{1}{3}[/tex] in (i), we get
[tex]g(x)=\dfrac{1}{3}x^2[/tex]
Therefore, the correct option is D.
Each side of a regular polygon is 2.5 cm in length .The perimeter of the polygon is 12.5 cm .How many sides does the polygon have?
with explanation please.
Answer:
There are 5 sides in the polygon.
Total perimeter of the polygon is 12.5 cm and it is a regular polygon.
Each side of the polygon is 2.5 cm.
So total number of sides is: Total perimeter of the polygon / Length of each side = 12.5 cm/ 2.5 cm = 5
Hence, the polygon has 5 sides and it is a regular pentagon.
Step-by-step explanation:
I hope this is correct, if it isn't please feel free to let me know and I will fix it. I'm sorry in advance if it is incorrect.
Josiah invests $360 into an account that accrues 3% interest annually. Assuming no deposits or withdrawals are made, which equation represents the amount of money in josiahs account, y, after x years?
a-y=360(1.3)^x
b-y=360(0.3^x
c-y=360(0.03)^x
d-y=360(1.03)^x
Answer:
y = 360 (1.03)^x
Step-by-step explanation:
Amount in account = principle * (1+ rate) ^ time
When the interest is annual
rate is in decimal form and time is in years
y = 360 ( 1+.03) ^x
y = 360 (1.03)^x
Write an inequality to describe the relationship between -1 2/3 and-1/4
Step-by-step explanation:
- 1⅔ < -¼
__________________
UESTION 4
1
A certain number multiplied by five and then two subtracted,
the answer is seventy-seven. Find the number
Answer:
x = 15.8
Step-by-step explanation:
let the number be x
according to the question equation is
x*5 - 2 = 77
5x - 2 = 17
5x = 77 + 2
5x = 79
x = 79/5
x = 15.8
Answer:
5x - 2 = 77
x = 15.8
Step-by-step explanation:
a number - x
times 5 - 5x
minus 2 - 5x - 2
equals 77 - 5x - 2 = 77
77 + 2 = 79
79 ÷ 5 = 15.8
5(15.8) - 2 = 77
The equation y1=x^2−4x represents Function 1. The graph of Function 1 is shown
Function 2 is represented by the equation y2=x−6. Which values are solutions to y1=y2? Select each correct solution.
x=−6
x=0
x=1
x=2
x=3
x=6
Answer:
x = -1, 6
Step-by-step explanation:
Equation of function 1 is,
y₁ = x² - 4x
Equation of function 2 is,
y₂ = x - 6
If y₁ = y₂
x² - 4x = x - 6
x² - 4x - x + 6 = 0
x² - 5x + 6 = 0
x² - 6x + x + 6 = 0
x(x - 6) + 1(x + 6) = 0
(x + 1)( x - 6) = 0
x = -1, 6
Answer:
x = 2 and x = 3
Step-by-step explanation:
y1 = 2^2 - 4(2)
2 x 2 - 8= -4
y2 = 2 - 6 = -4
y1 = 3^2 - 4(3)
9 - 12 = -3
y2 = 3 - 6 = -3
I need help with this
7/10= 28/40
5/8=25/40
0.8=4/5=32/40
32>28>25
So 0.8>7/10>5/8
PLZ HELP! I will give brainliest!!!
Answer: x axis is time in hours, y axis is water level in centimeters
I can't see the rest of the problem since you didnt show it
Step-by-step explanation:
anyone solve this pls :)
your ans is here........
IF YOU ANSERW MY MATH QUESTIONS ILL GIVE ADTINAL 50) POINTS FOR each question and crown evry question.
A scientist uses a submarine to study ocean life.
*She begins at sea level, which is an elevation of 0 feet.
*She descends for 91 seconds at a speed of 2.2 feet per second.
*She then ascends for 32 seconds at a speed of 0.7 feet per second.
At this point, what is her elevation, in feet?
Answer:
-177.8 feet below sea level.
Step-by-step explanation:
First, we know that descend means to lower. Anything lower than 0 has to be negative. It says that she descends for 91 seconds at a speed of 2.2 feet per second. So first to find out how many feet she descended in those 91 seconds, you need to multiply 91*-2.2= -200.2. Then, it says that she ascends for 32 seconds at the speed of 0.7 feet per second. It's the same thing, but ascend means to go up. So, we multiply 32*0.7=22.4. Now we add the two numbers together to get -177.8.
Answer:
220.4 feet below sea level
Step-by-step explanation:
use the following formula:
rate x time = distance
(rate going down)(time going down) = distance going down.
so if she starts at 0 feet above sea level, and descends for 91 seconds at a speed of 2.2 ft/sec. you would plug that in as:
(2.2 ft/sec)(91 seconds) = distance of 198 feet.
she then ascends for 32 seconds at a speed of 0.7 feet/second.
so, substitute that;
(0.7 ft/sec)(32sec) = distance of 22.4 feet.
distance traveled downward + distance traveled upward = total distance of location.
198 + 22.4 feet = 220.4 feet
A pharmaceutical company collects data on the side effects participants report for a drug it is testing. The company finds that the probability of experiencing a headache is 5 percent and the probability of experiencing both a headache and heartburn is 2 percent. If the probability of experiencing a headache or heartburn is 8 percent, what is the probability of experiencing heartburn?
1 percent
5 percent
11 percent
15 percent
Answer:
the answer is 5 percent
Step-by-step explanation:
The probability of experiencing heartburn is 5 percent. Therefore, option B is the correct answer.
What is the probability?Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event.
Given that, the probability of experiencing a headache is 5 percent and the probability of experiencing both a headache and heartburn is 2 percent.
Let Event A: Headache and Event B: Heartburn.
P(A)=0.05, P(A∩B)=0.02
The probability of experiencing a headache or heartburn is 8 percent, hence:
P(A∪B)=0.08
Now, P(A∪B)=P(A)+P(B)-P(A∩B)
0.08=0.05+P(B)-0.02
P(B)=0.05 or 5%
Therefore, option B is the correct answer.
To learn more about the probability visit:
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Solve for X in the triangle. Round your answer to the nearest tenth
Answer:
x ≈ 10.4
Step-by-step explanation:
Using the cosine ratio in the right triangle
cos42° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{x}{14}[/tex] ( multiply both sides by 14 )
14 × cos42° = x , then
x ≈ 10.4 ( to the nearest tenth )
Every hour American throw away 1.2 million plastic bottles. how many plastic bottles are thrown away in one day??
need help
Answer:
the answer is 28.8 billion plastic bottles
Answer:
28.8 million
Step-by-step explanation:
24 hrs in one day - 1.2 M*24=28.8 M
which statement about 0 is true ?
Answer:
❍ C. tan θ = 8 / 15
Step-by-step explanation:
Using trigonometry functions
sin θ = opposite side / hypotenuse
= 8 / 17
tan θ = opposite side / adjacent side
= 8 / 15
Hence, tan θ = 8 / 15 which is option C. is the correct statement.
