The value of x when y is 14.4 is 5.
It is given that
y ∝ 1/x
y = k/x....(1)
Where k is a constant of proportionality
What is the constant of proportionality?The constant of proportionality is the ratio that relates two given values.
When y =6, x=12
Means, 6 = k/12
k = 72
Putting the value of k in equation (1)
y = 72/ x
14.4 = 72/ x
x = 5
Therefore, The value of x when y is 14.4 is 5.
To get more about the constant of proportionality visit:
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Homework - Pure Year 1 - Chapter 11B
Vectors
3
force.
Work out the magnitude of the resultant force and the angle this makes with the smaller
8N
60.00
1SN
Answer:
|F net| = 20.22 N
θ ≈ 19.8°
Step-by-step explanation:
F net = 15N i + 8cos(60°)N i + 8sin(60°)N j
= 15N i + 8×½N i + 8×√3/2N j
= 15N i + 4N i + 4√3N j
= 19N i + 4√3N j
|F net| = √(19²+(4√3)²) = √(361+48) = √409 ≈ 20.22N
tan(θ) = 4√3 ÷ 19 ≈ 0.36 → θ ≈ arctan(0.36) = 19.8°
Two rental CAR companies charge different fees they have some charges for company A and company B are shown in The table and graph Below.
Which statement is true about their pricing?
A Company A charges $40 a day more than Company B.
B Company B charges $40 a day more than Company A.
Company A charges a service fee that is $20 more than Company B charges
D Company A charges a service fee that is $20 less than Company B charges.
Answer:
I think it is d that's the right answer
16. Which transformation, when performed on the triangle ABC, will result in the transformed figure
A'B'C' being similar but NOT congruent to the original triangle?
a. A reflection over the x-axis
b. A dilation by a scale factor of 2
C. A translation two units to the right
d. A rotation 90° clockwise about the origin
Answer: B
Step-by-step explanation:
Dilations are not rigid motions.
Explain step by step how you use the horizontal method to multiply the two polynomials 2a? - 3a +5 and 3a? + 4a - 4
I will give brainlist plsss answer fast
I need help finding the domain and range!! -Algebra
Answer:
The graph is shown belowVertex = (2,1)Axis of symmetry is x = 2Domain = set of all real numbersRange = set of y values such that [tex]y \ge 1[/tex]=======================================================
Explanation:
Use your favorite graphing tool to graph the equation. If your teacher doesn't allow you to use graphing software, then you'll have to plug in various x values to find the paired y values. This gives the set of (x,y) points needed to be plotted to form the parabola. The more points you plot, the more accurate the curve.
The graph is shown below. I used GeoGebra to make the graph. It's free graphing software. Desmos is another tool that I recommend.
------------
The lowest point on the parabola is the vertex (h,k) = (2,1) which is shown in the graph below.
This is due to the equation being in vertex form y = a(x-h)^2 + k. We see that h = 2 and k = 1.
-------------
The axis of symmetry is the vertical line that passes through the vertex.
As such, the axis of symmetry equation is simply x = h. So that's how we get to x = 2.
In the graph below, the axis of symmetry is the red dashed line.
-------------
There aren't any restrictions on x. We don't have to worry about dividing by zero or applying a square root to a negative number.
Therefore, any x value is allowed and the domain is the set of all real numbers.
-------------
The range however isn't the set of all real numbers. The lowest y can get is y = 1 due to the vertex point. We can have y = 1 or larger
Therefore, [tex]y \ge 1[/tex] is the range.
Which set of angle measures can be the angle measures of a triangle?
A 31°, 60°, 90°31°, 60°, 90°
B 18.4°, 32.6°, 129°18.4°, 32.6°, 129°
C 125°, 25°, 40°125°, 25°, 40°
D 10°, 120°, 40°
Answer:
Step-by-step explanation:
There are two conditions that need to be in place.
The sum of the angles must equal 180There must be exactly 3 angles.A has too many angles. The answer is not A.
B same as A
C same as A
D doesn't add to 180. Not D
You have no answer unless there is another choice.
For positive acute angles AA and B,B, it is known that \sin A=\frac{8}{17}sinA= 17 8 and \cos B=\frac{24}{25}. CosB= 25 24 . Find the value of \sin(A+B)sin(A+B) in simplest form
Answer:
sin(A+B) = 297/425
Step-by-step explanation:
This problem involves a couple of Pythagorean triples, and the trig identity for the sine of the sum of angles.
The Pythagorean triples involved are {8, 15, 17} and {7, 24, 25}. These tell us the other trig functions of the given angles:
sin(A) = 8/17 ⇔ cos(A) = 15/17
cos(B) = 24/25 ⇔ sin(B) = 7/25
The trig identity we're using is ...
sin(A+B) = sin(A)cos(B) +cos(A)sin(B)
sin(A+B) = (8/17)(24/25) +(15/17)(7/25)
[tex]\sin(A+B)=\dfrac{8\cdot24+15\cdot 7}{17\cdot25}\\\\\boxed{\sin(A+B)=\dfrac{297}{425}}[/tex]
_____
Check
A = arcsin(8/17) ≈ 28.072°
B = arccos(24/25) ≈ 16.260°
sin(A+B) = sin(44.332°) ≈ 0.6988235
sin(A+B) = 297/425
Whats the value of z
Answer:
11.6
Step-by-step explanation:
11.6-8=3.6
3.6x5=8
what are all the values that have the same amount as 20 divided 5
Answer:
1/4 3/12 2/8
Step-by-step explanation:
Please give brainlyist
p(t) = 4t – 1, what is the value of p(4)?
SOMEONE HELEP ME ON 3 and 4. ASAP DUED IN 30 mins
Answer:
3 is D 4 is B
Step-by-step explanation:
Source: trust me bro
Answer:
3) A
4) B
Step-by-step explanation:
Just substitute the values given for the variables.
Use your calculator and get your answer.
What is the opposite or inverse operation of
subtraction?
division
addition
multiplication
subtraction
Answer: Addition
Additon and subtraction are opposites.
Answer:
I think B.)addition but I am pretty sure
Herman plans to paint a triangular section of his house. The house is 20 feet long. The height of the triangular section is 8 feet. How many square feet of paint will Herman need?
Answer:
Step-by-step explanation:
The question is about area of a triangle
The formula for a triangle's area is
Area = 1/2 h * b
h = 8
b = 20
Solution
Area = 1/2 20 * 8
Area = 80 ft^2
Herman plans to paint a triangular section of his house. The house is 20 feet long. The height of the triangular section is 8 feet. How many square feet of paint will Herman need?
✪ Explanation -:Given -
Base of the house (b = 20 feet)Height of the house (h = 8 feet)Need to find -
Square feet of paint Herman need to paint the triangular section of the houseSolution -
This question is based on Area of a triangle to solve this question we need to calculate the area of the triangular section of the house.
We know,
[tex]⍟ \large \ \boxed { \rm{ Area_{(triangle)} = \dfrac{1}{2} × b × h }}[/tex]
Where,
h stand for heightb stand for baseSubstituting the value of h = 8 feet and b = 20 feet
[tex] \large\sf{ Area_{(triangle)} = \dfrac{1}{2} × 20 × 8 }[/tex]
[tex] \large\rm{ Area_{(triangle)} = \dfrac{1} { \cancel{2}} × \cancel{20 }× 8 }[/tex]
[tex] \large\rm{Area_{(triangle)} = 10 × 8} [/tex]
[tex] \large \red{\underline{\color {red} \boxed{ \sf{Area_{(triangle)} = 80 \: {feet}^{2 }} }}}[/tex]
Hence, Herman need 80 square feet of paint to paint the triangular section of his house
[tex] \rule{182mm}{4pt}[/tex]
Additional Information -Formulas of Area
Area of a rectangle = Length × BreadthArea of a square = side × sideArea of a circle = π[tex]{r}^{2}[/tex]Area of a parallelogram = Base × HeightThere are at least 6 tomato plants in Josephine’s garden. She plants 4 more tomato plants. Write and graph an inequality to show the number of tomato plants in her garden.
Answer:
10 ≤ x ≤ 10
explanation:
already has 6 tomato plantswill plant 4 more.Let the total tomato number be x
so inequality:
6 + 4 ≤ x ≤ 6 + 4
10 ≤ x ≤ 10
Answer:
[tex]n_t \geq 10 [/tex]
Step-by-step explanation:
Here it is given that there are at least 6 tomato plants in Josephine's garden. And she plants 4 more plants . We would like to plot a graph and write a inequality for the given situation.
Representation :-
[tex]\setlength{\unitlength}{1cm}\begin{picture}(0,0)\thicklines\multiput(0,0)(.5,0){17}{\line(0,1){.2}}\put(5,0.1){\vector(-1,0){6}}\put(5.01,0.1){\vector(1,0){4}}\put(-0.5,-0.4){$\sf -2$}\put( 0.2,-0.4){$\sf -1$}\put(.9,-0.4){$\sf 0$}\put(1.4,-0.4){$\sf 1$}\put(1.9,-0.4){$\sf 2$}\put(2.4,-0.4){$\sf 3$}\put(2.9,-0.4){$\sf 4$}\put(3.4,-0.4){$\sf 5$}\put(3.9,-0.4){$\sf 6$}\put(4.4,-0.4){$\sf 7$}\put(4.9,-0.4){$\sf 8$}\put(5.4,-0.4){$\sf 9$}\put(5.8,-0.4){$\sf 10$}\put(6.4,-0.4){$\sf 11$}\put(6.9,-0.4){$\sf 12$}\put(7.4,-0.4){$\sf 13$}\put(7.9,-0.4){$\sf 14$}\put(6,0.1){\circle*{0.2}}\put(6.01,0.4){\vector(1,0){4}}\put(2,2){$\textcopyright\sf RISH4BH $}\end{picture}[/tex]
Let the number of tomatoes be represented by [tex] n_t [/tex] .
We can write the first statment in inequality as ,
[tex]\longrightarrow n_t \geq 6 [/tex]
Since she added 4 more , add 4 to RHS ,
[tex]\longrightarrow n_t \geq 6 + 4 [/tex]
Simplify,
[tex]\longrightarrow \underline{\underline{\boldsymbol{ n_t \geq 10 }}}[/tex]
And we are done!
HCF of 99, 33, 121 using common division method
Answer:
11
Step-by-step explanation:
find HCF using factor tree
99={3×3×11}
33={3×11}
121={11×11}
HCF =11
Which of the following is the graph of the line y=-3/4x+5 ?
What is it that I do with my life that will help me be better person
Listen to peoples problems, care about them and give advices.
Find the slope of the line passing through the given points using the slope formula. Describe the slope as positive, negative, zero, or undefined.
(3,4) and (8,10)
the answer is 6/5. It is positive.
PLEASE HELP ME THANKS 7th grade
Step-by-step explanation:
1 inch = 30 miles
so, 12.5 inch = 30*12.5 ===> 375 miles
hence, 12.5 inch = 375 miles
Darrell wants to see how much water is wasted by his leaky faucet. he put a 4-gallon bucket under the faucet. After 24 hours, the bucket was full.
if the same amount of water leaks each hour, how much water will be in the bucket after 60 hous?
Answer:
10 gallons of water
Step-by-step explanation:
4 divided by 24 equals 0.167 gallons per hour
0.167 times 60 equals 10 gallons in 60 hoursd
Please help with this
No fake answers!
Euler's formula, V – E + F = 2 relates the number of vertices V, the number of edges E, and the number of faces F of a polyhedron. How many faces does a polyhedron with 5 vertices and 8 edges have?
Answer:
V + F - 2 = E
Step-by-step explanation:
V - E + F = 2 --- add E to both sides
V + F = 2 + E --- subtract 2 from both sides
V + F - 2 = E
Hope this helps! :)
How can you change grams into kilograms
Divide it by 1,000. One kilogram equals one thousand grams. This means that to get a pound of gram, you only have to divide the gram by 1,000.
label them in non linear function and linear function
Calculate the area of the figure below.
Answer:
164 cm²
Step-by-step explanation:
Take the 2 shapes and find the areas
Triangle area = (bh)/2
13 × 8 × 0.5 = 52
Rectangle area = 16 × 7 = 112
Add up the areas
112 + 52 = 164
Hello I need help on this math question
I'll give BRANLIEST or 5 stars
Answer:
lateral area=37.68(approximately 38)
Total Surface Area =
Step-by-step explanation:
AL=2πrh
AL=2×3.14×6/2×2(Because it is a diameter and we want a radius)
Al=37.68 in squared
.
The simple interest formula is I=Prt, where / is the interest, P is the principal, is the interest rate, and t is the time. What is the interest if the principal is $10,000, the interest rate is 2%, and the time is 8 years?
Answer:
The interest is 1600
Step-by-step explanation:
I=10000×2%×8I=1600AP Calc AB Evaluate the integral. Image provided, please help! Will mark Brainliest
Answer:
21
Step-by-step explanation:
Evaluate the integral from -3 to 0.
Anti derivative of 4 is 4x.
[tex]4(0) - 4( - 3) = 12[/tex]
Evaluate the next integral from 0 to 3.
Anti derivative of 6-x^2. is
[tex]6x - \frac{ {x}^{3} }{3} [/tex]
Now we do,
[tex](6(3) - \frac{3 {}^{3} }{3} ) - 6(0) - \frac{ {0}^{3} }{3} [/tex]
[tex]18 - 9 - 0[/tex]
[tex]9[/tex]
Add up the areas.
9+12=21
What is the volume of this hamsta snacks box with a width of 1 1/2 inches , a length of 2 1/2 inches , and a height of 4 inches
bye lol bts
Step-by-step explanation:
11/2 inches a length (L×b ) and hieght is 6'2 I guess
My bed is 3 inches by 2/3 inches wide by 1/3 inch. What is the volume of my bed?
Answer:
6/9 inches
Step-by-step explanation:
3/1 × 2/3 × 1/3 = 6/9 inches
Step-by-step explanation:
the answer is 2.67 inches
The relationship between a bacteria population p, in thousands, and time d, in days, since it was measured to be 1,000 can be represented by the equation .
Select all statements that are true about the situation.
© 2019 Illustrative Mathematics. All Rights Reserved.
Select all that apply:
A: Each day, the bacteria population grows by a factor of 2
B: The equation p=2^d also defines the relationship between the population in thousands and time in days
C: The population reaches 7,000 after log2(7,000) days
D: The expression log2(10) tells us when the population reaches 10,000.
E: The equation d=log2(p) represents a logarithmic function
F: The equation 7=log2(128) tells us that the population reaches 128,000 in 7 days.
The expression log₂(10) tells us when the population reaches 10,000 and the equation 7 = log₂(128) tells us that the population reaches 128,000 in 7 days.
What is an exponential function?An exponential function is in the form:
y = abˣ
Where a is the initial value of y and b is the multiplication factor.
Let p represent the bacteria population in thousand after d days.
Since each day, the bacteria population grows by a factor of 2, hence:
[tex]p=2^d[/tex]
Hence, d = log₂p represents a logarithmic function
The expression log₂(10) tells us when the population reaches 10,000 and the equation 7 = log₂(128) tells us that the population reaches 128,000 in 7 days.
Find out more on exponential function at: https://brainly.com/question/12940982