Complete Question:
Write a formula for the given measure. Let P represent the perimeter in inches, and w
represent the width in inches. Identify which variable depends on which in the formula.
*The perimeter of a rectangle with a length of 5 inches
Answer:
P = 2(5 + w)
Or
P = 20 + 2w
P is the dependent variable
w is the independent variable
P depends on w.
Step-by-step explanation:
Given:
Perimeter of rectangle = P
Width of the rectangle = w
Length of the rectangle = l = 5 in.
Formula for perimeter of a rectangle = 2(length + width)
Plug in the values. Formula for the given measure would be:
P = 2(5 + w)
Or
P = 20 + 2w
P is the independent variable, while w is the dependent variable.
This is because the Perimeter (P) of the rectangle is dependent on the width (w). Whatever value of w we get would determine the value of P were would get. Therefore,
P depends on w.
An arborist examined trees in an orchard to see if they were infected with a virus. The arborist counted 7 infected trees and 43 healthy trees. What percentage of the trees in the orchard were infected?
Answer: Percentage of infected trees =2%
Step-by-step explanation:
Number of Infected trees =7
Number of healthy trees=43
Total number of trees in the orchard=43+7=50
Percentage of infected trees =Number of Infected trees/Total number of tress in the orchard x 100
7/50 x 100 =2%
simplify the following:4(2x)^2+5(2y^2)^3
Answer:
16x^(2)+40y^(6)
Step-by-step explanation:
The city is planting new trees in its downtown to make the streets more comfortable for visitors. They are planting each tree 12 feet apart. How many trees can they plant on 2 miles of streets? Hint is that 5280= 1 mile. Please help
Step-by-step explanation:
let's make T= the number if trees...
If we're placing one tree every 12 feet for two miles, then:
T×(space between trees) = (number of miles)×(1mi.)
T×12ft. = 2×1mi. = 2×5280ft.
Dividing by 12ft. to isolate T gives us:
T=(2×5280)/12 = 880
So that'll be 880 trees for 2 miles of street.
The number of trees that they plant on 2 miles of streets will be 880 trees.
What is division?Division means the separation of something into different parts, sharing of something among different people, places, etc.
The city is planting new trees in its downtown to make the streets more comfortable for visitors.
They are planting each tree 12 feet apart.
Then the number of trees that they plant on 2 miles of streets will be
We know the conversion of miles into feet.
1 mile = 5280 feet
2 miles = 10560 feet
Then the number of trees will be
Number of trees = 10560 / 12
Number of trees = 880
More about the division link is given below.
https://brainly.com/question/369266
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Calculate the perimeter and the area of the figure use 3.14
Answer:
Step-by-step explanation:
13.
P= 19.42mm
A= 18.32mm²
Answer:
Half of 6 is 3(new radius)
2 x 3.14 x 3 = 18.84, 18.84 divided by 2 = 9.42
2 + 2 + 2 = 6
6 - 2 = 4
Add lengths:
9.42 + 6 + 4 = 19.42 mm is your perimeter
2 x 2 = 4
3^3 = 9
9 x 3.14 = 28.26, 28.26 divided by 2 (semi circle) = 14.13
Add areas:
4 + 14.13 = 18.13 mm2 is your area
What is cos 30°? 60° 1 90° 30° V3 O A. v3 O B. 1 O c.
Answer:
E
Step-by-step explanation:
Cos=Adjacent/hypotenuse
Cos30=rad3/2
The cosine function for Ф = 30 is equivalent to :
cos(30) =√3/2.
What are trigonometric functions?There are six major trigonometric functions as -
Sine(x)Cosine(x)Tangent(x)Cotangent(x)Secant(x)Cosecant(x)We can write the relation between them as -
Sine = 1/cosecantCosine = 1/secantTangent = 1/CotangentAlso the following trigonometry relations hold true -
sin²Ф + cos²Ф = 1
1 + tan²Ф = sec²Ф
1 + cot²Ф = cosec²Ф
Given is a right angled triangle as shown in the image having 60 - 90 - 30 orientation and the measured sides as shown in the image.
We can write the cosine function as -
cosФ = Base/Hypotenuse
cos(30) = √3/2
So, we can conclude that the cosine function for Ф = 30 is equivalent to :
cos(30) =√3/2
Therefore, the cosine function for Ф = 30 is equivalent to :
cos(30) =√3/2.
To solve more questions on trigonometric functions, visit the link below-
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Jonas received a gift card of $35.00 to use for an online App Market to buy applications for his tablet. All Apps cost $1.75. Which table represents the relationship between x, the number of Apps Jonas can buy, and y, the balance remaining on his gift card.
Answer:
A)
Step-by-step explanation:
The starting balance is $35
after one game purchase, the balance is 35-1.75=33.25
after two game purchases, the balance is 35-(1.75*2)=31.50
Which statements about the graphs of functions g(x) = 4x and f(x) = x are true? Select all that apply.
A. g is wider than
B. fand g open in the same direction
C. fand g have the same vertex
D. fand g have the same axis of symmetry
Answer:
A
Step-by-step explanation:
A box contains 7 red marbles, 4 white marbles, and 5 blue marbles. If only white marbles are added to the box, how many must be added to
make the probability of drawing a white marble ş?
A: 1
B: 2
C: 5
D. 7
E: 12
Which is the factored form of x(w – 1) + (W – 1)?
22 pts
Answer:
Solution given:
x(w – 1) + (W – 1)
distribute it:
xw-x+w-1
xw+w-x-1
take common from each term
w(x+1)-1(x+1)
take common again
(x+1)(w-1)
the factored form of x(w – 1) + (W – 1) is (x+1)(w-1).
Help please I might fail…
Answer:
9 /4 which equals 2 and 1/4
Step-by-step explanation:
plugged into the calculator!
quadratic equation: I NEED HELP- ignore the answer I pressed it's wrong
hey whats the answer to this ? will mark brainliest if correct
Answer:
C. 128°Step-by-step explanation:
Here,
<BAC + <BAE = 180° [Since supplementary angles]
=> 52° + <BAE = 180°
=> <BAE = 180° -52°
=> <BAE = 128° (Ans)
Explain which properties you would use to fully expand (the problem in the screenshot)
Answer:
Firs property used : Quotient Property
[tex]log_b(\frac{X}{Y} ) = log_bX -log_bY[/tex]
[tex]log_b(\frac{\sqrt[3]{x} }{36y^2} ) = log_b(\sqrt[3]{x}) - log_b(36y^2)[/tex]
Second property used : Product Property
[tex]log_b(XY) = log_bX + log_b Y[/tex]
[tex]log_b(\sqrt[3]{x}) - log_b(36y^2) = (log_b(\sqrt[3]{x}) - [log_b36 + log_by^2)[/tex]
Third property used : Power Property
[tex]log_b \sqrt[n]{X} = log_b(X)^{\frac{1}{n}} = \frac{1}{n} log_b X[/tex]
[tex](log_b(\sqrt[3]{x}) - [log_b6^2 + log_by^2) = \frac{1}{3} log_bx - 2log_b 6 - 2log_by[/tex]
Fully expanded form:
[tex]log_b(\frac{\sqrt[3]{x} }{36y^2} ) = \frac{1}{3} log_b x-2log_b6-2log_by[/tex]
PLEASE HELP!! NO LINKS!!
Answer:
105°
cause You can measure an arc in degrees just like you measure an angle
Solve for b.
- 28 – 6b= 8
Answer:
-6
Step-by-step explanation:
- 28 – 6b= 8
step 1 add 28 to each side
-28 + 28 cancels out
28 + 8 = 36
we now have -6b = 36
step 2 divide each side by -6
-6b / -6 = b
36 / -6 = -6
we're left with b = -6
Hi there!
»»————- ★ ————-««
I believe your answer is:
[tex]b=-6[/tex]
»»————- ★ ————-««
Here’s why:
We will have to preform inverse operations to solve for 'b'.
[tex]\boxed{\text{Solving the equation for 'b':}}\\\\-28-6b=8\\\\--------\\\rightarrow-28+28-6b=8+28\\\\\rightarrow-6b=36\\\\\rightarrow\frac{-6b=36}{-6}\\\\\rightarrow \boxed{\text{b=-6}}\\\\\text{The value of 'b' is \boxed{-6}.}[/tex]
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
need to know the answer
Answer:
Please find attached the required graph of the equation, y = x² - 2·x - 8, created using MS Excel
Step-by-step explanation:
The given function required to be plot is y = x² - 2·x - 8
Therefore, the coordinates of the vertex of the parabola formed by the equation (h, k) is given as follows;
h = -(-2)/(2×1) = 1
k = 1² - 2×1 - 8 = -9
The coordinates of the vertex = (1, -9)
The roots of the equation is given when y = 0, as follows;
At the roots, we have;
x² - 2·x - 8 = 0
By factorizing, we get
x² - 2·x - 8 = (x - 4)·(x + 2) = 0
Therefore. the roots of the equation are;
x = 4, and x = -2
The coordinates of the roots are;
(4, 0), and (-2, 0)
Two other points can be found at when x = 3 and when x = 0 as follows;
When x = 3, we have;
y = 3² - 2×3 - 8 = -5
(3, -5)
When x = 0, we have;
y = 0² - 2×0 - 8 = -8
(0, -8)
The five points are;
(1, -9), (4, 0), (-2, 0), (3, -5), (0, -8)
The graph of the equation created using MS Excel showing the five points is attached.
what is the volume of a sphere with a radius of 9.2cm, rounded to the nearest tenth of a cubic centimeter
Answer:
Step-by-step explanation:
Answer:1630.9 cm
v=4/3πr^3
radius =9.2
Plug in
4/3π(9.2)^3
3261.76066-
Volumenof hemisphere Half of volume of spehere
3261.76066698/2
=1630.9 cm^3
Find the sum of the first 8 terms of the following sequence. Round to the nearest hundredth if necessary. 20,40,80,...
Answer:
5100
Step-by-step explanation:
the geometric sequence is
f(n) = 20(2)^(n-1)
add up the first 8 to get
PLEASE HELP!!!
A weather forecaster predicts that there is a 50% chance of rain on Saturday and a 40% chance of rain on Sunday. If these probabilities are correct, what is the probability that it will rain on both days?
Laptop scan 182 megabytes of data in 7 seconds. How many megabytes does it download per seconds
Answer:
jdkkdksmsmsmsksksksksksmaMmamMamnz
Step-by-step explanation:
nnznznznznxnxnxnsnskakakakakakzznnznanananaan
The center of the Pentagon in Arlington, Virginia, is a courtyard in the shape of a regular pentagon The pentagon
could be inscribed in a circle with a radius of 300 feet. Find the area of the courtyard Round to the nearest tenth
Answer:
213,987.7 ft2
Step-by-step ex planation:
10. How do you find the product of the following? Show all your work. a. Binomial squared: (2x + 3)2 b. Binomial squared: (2x - 3)2 C. Difference of squares: (x + 5)(x - 5)
Answer:
A
Step-by-step explanation:
A because when you find the product you need to add
which of the following tables does NOT represent a function ? (i can’t get this wrong please help) (15 points)
Answer:
C
Step-by-step explanation:
the answer is c because there is more then one y value for 5
Ravi and Hasan bought 13⁄4 of pies , Ravi ate 1/3 and Hasan ate 2/3 of it
. How much pie is left?
Answer:
The final answer is 0
Step-by-step explanation:
1/3 + 2/3 = 1 which means Ravi and Hasan ate the whole thing
Can I have brainliest? It would help me out, if not thanks anyways! Hope this helped and have a nice day!
2 x [(27–3) - (3+4)] = n
what’s (n)
Answer:
n = 34
Step-by-step explanation:
2{(24- ( 3 + 4)) =n
2{(24 - 7) =n
2 x 17 = n
34 = n
swap the sides
n = 34
A data set is normally distributed with a mean of 100 and a standard
deviation of 8.6. An element in this set is 96. What is the z-score for 96?
(answer with 3 decimal places)
Answer:
It is -0.465 when you add it to the nearest thousandth
Step-by-step explanation:
HELPPPPPPPPPPPPPPPPPPPPPPPP
Answer:
D because mean is the subtraction of the biggest number and the smallest. so 17-8=9
Answer:
I think it's D
I don't know tho
A data set is made up of these values.
1, 4, 4, 5, 6, 8,9
Find the interquartile range.
A. 9 -1 = 8
B. 9-8 = 1
C. 4-1 = 3
O 0
D. 8 -4 = 4
SUBMIT
Answer:its D 8 -4 = 4
Step-by-step explanation:
A bakery bakes 2000 loaves in 5 hours . How many loaves will be baked in 12
Answer:
4,800 loaves.
Step-by-step explanation:
Solve by utilizing ratios and cross-multiplication.
All dimensions of a cylinder are multiplied by 1.5. Which statement is true?
A. The total surface area is multiplied by 3.375.
The volume is multiplied by 2.25.
B. The total surface area is multiplied by 2.25.
The volume is multiplied by 3.375.
C. The total surface area is multiplied by 3.
The volume is multiplied by 4.5.
D. The total surface area is multiplied by 4.5.
The volume is multiplied by 3.
Answer:
The true statement is;
B. The total surface area is multiplied by 2.25
The volume is multiplied by 3.375
Step-by-step explanation:
By scale drawing proportionality, we have;
The amount by which all the dimensions of the cylinder are multiplied to create an image of the cylinder = 1.5
∴ The scale factor between the original cylinder and the image of the cylinder, S.F. = 1.5
By rule, we have;
The area factor of the surface area = S.F.² = 1.5² = 2.25
Therefore;
The total surface area of the original cylinder is multiplied by 2.25 to get the total surface area of the image of the cylinder
By rule, we have;
The volume factor = S.F.³ = 1.5³ = 3.375
Therefore;
The volume of the original cylinder is multiplied by 3.375 to find the volume of the image of the cylinder.
Answer:
B
Step-by-step explanation: