Answer:
I depends on P, R, and T describes the relationship between the variables of the simple interest formula
Step-by-step explanation:
We are given that The simple interest on a principal amount, P, borrowed for T years at R% annual interest is given by the following :
Formula: [tex]I = \frac{P \times T \times R}{100}[/tex]
So,[tex]I \propto P[/tex]
[tex]I \propto T[/tex]
[tex]I \propto R[/tex]
So, I depends on P , T and R
So, Option C is true .
Hence I depends on P, R, and T describes the relationship between the variables of the simple interest formula
Answer:
I depends on P, R, and T
Step-by-step explanation:
If the acute angle made by two intersecting lines l and m is 51° and image ABCD is reflected across the line l followed by a reflection across line m, then find the angle through which ABCD is rotated. Question 10 options: A) 25.5° B) 102° C) 26° D) 51°
Answer:
B) 102°
Step-by-step explanation:
Reflection is an example of transformation in which a given image is flipped over a reference line which changes the orientation of the figure, but not its length and shape. A rotational transformation is formed by two reflections.
In the given question, image ABCD is reflected over lines I, then m at an angle of 51° to each other. Since rotation is twice the acute angle with respect to the center of rotation, therefore ABCD rotates through an angle of 102°.
pls help i give brainliest and 5 stars
Answer:
r = 9 m
Step-by-step explanation:
The volume of a sphere is defined as:
[tex]V = \frac43 \pi r^3\\[/tex]
if this is equal to 972π, then r³ = 972 * 3/4
so r = ∛729 = 9
Answer:
The radius of sphere is 9m.
Step-by-step explanation:
Given that the formula of volume of sphere is V = 4/3×π×r³ and it is 972π m³. So you have to substitute the value into the formula, in order to find radius :
[tex]v = \frac{4}{3} \pi {r}^{3} [/tex]
Let V = 972π,
[tex]972\pi = \frac{4}{3} \pi {r}^{3} [/tex]
[tex]972 = \frac{4}{3} {r}^{3} [/tex]
[tex]972 \div \frac{4}{3} = {r}^{3} [/tex]
[tex] {r}^{3} = 729[/tex]
[tex]r = \sqrt[3]{729} [/tex]
[tex]r = 9metres[/tex]
Which statement describes whether a right triangle can be formed using one side length from each of these squares?
Area = 64 in
Area = 225 in
Area = 289 in
Yes, a right triangle can be formed because the sum of the areas of the two smaller squares does not equal the area of
the largest square
Yes, a right triangle can be formed because the sum of the areas of the two smaller squares equals the area of the
largest square
No, a right triangle cannot be formed because the sum of the areas of the two smaller squares does not equal the area
of the largest square.
Save and Exit
Set
Answer:
Step-by-step explanation:
The area of the given squares are
Area = 64 in
Area = 225 in
Area = 289 in
The length of each side of a square is determined by finding the square root of its area. For the first square, the length of its side is √64 = 8inches. For the second square, the length of its side is √225 = 15inches. For the third square, the length of its side is √289 = 17inches.
For a right angle triangle to be formed, Pythagorean theorem must be obeyed. Sum of the square of the smaller sides must equal the square of the longer side. Therefore,
8² + 15² = 17²
289 = 289
Therefore, the correct statement is
Yes, a right triangle can be formed because the sum of the areas of the two smaller squares equals the area of the largest square
Answer:
B
Step-by-step explanation:
I got this right in edge 2020. Hope this helped! ;)
What's the largest eight-digit base 2 integer? Express your answer in base 10.
Answer:
[tex]11111111_{2} =255_{10}[/tex]
Step-by-step explanation:
The largest eight-digit base 2 integer is 11111111.
[tex]\begin{array}{rcr}1\times 2^{7} & = & 128\\1\times 2^{6} & = & 64\\1\times 2^{5} & = & 32\\1\times 2^{4} & = & 16\\1\times 2^{3} & = & 8\\1\times 2^{2} & = & 4\\1\times 2^{1} & = & 2\\1\times 2^{0} & = & 1\\\mathbf{11111111_{2}} & = & \mathbf{255_{10}}\\\end{array}[/tex]
Answer:1111111
Step-by-step explanation:
The largest eight-digit base 2 integer is 11111111
PLEASE HELP ME! I BEG YOU! ILL EVEN GIVE BRAINLIEST!! HELP ASAP!!!
If f(x) = 5x, what is y(x)?
Answer:
Step-by-step explanation:
y(x) and f(x) are similar in meaning; they both state that the dependent variable is a function of the independent variable x.
f(x) = 5x = y(x).
A rectangular garden has a length of x + 2 ft. and a width of x + 8 ft. What must x be in order for the garden to have an area of 91 sq. ft.?
Answer:
x=5
Step-by-step explanation:
5+2=7
5+8=13
13*7=91
Answer: 5 ft
Step-by-step explanation:
Our equation can be (x + 8)(x + 2) = 91. Now we solve:
(x + 8)(x + 2) = 91
x^2 + 2x + 8x + 16 = 91 expand
x^2 + 10x + 16 = 91 simplify
x^2 + 10x - 75 = 0 subtract 91 from both sides
(x + 15)(x - 5) = 0 factor
x + 15 = 0 x - 5 = 0
x [tex]\neq \\[/tex] -15 x = 5
x can't equal -15 because you cannot have negative feet, so x = 5 feet
please help me find the volume for this triangular prism
Answer:
140 yd³
Step-by-step explanation:
The volume (V) of the triangular prism is calculated as
V = Ah ( A is the area of the triangular face and h is the depth )
A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the perpendicular height )
= 0.5 × 5 × 8 = 20 yd² , thus
V = 20 × 7 = 140 yd³
6) Name all factors of x3 – 3x2 – 10x.
A. x
B. x + 5
C. x – 5
D. x + 2
E. x – 2
F. 2
G. 5
H. None of the above
its not on edg
Answer:
A. x
C. x – 5
D. x + 2
Step-by-step explanation:
From the question above, we are asked to find the factors of an algebraic expression that is given as:
x³ - 3x² - 10x
We would use the step of factorisation
Step 1
x(x² - 3x- 10)
The first factor of the algebraic expression has been obtained = x
Step 2
We factorise x² - 3x - 10
x² +2x - 5x - 10
(x²+2x) - (5x - 10)
x(x + 2) -5(x + 2)
(x + 2)(x - 5)
Step 3
x³ - 3x² - 10x
x(x² - 3x- 10)
(x)(x + 2)(x - 5)
Therefore, the factors of the algebraic expression are:
(x), (x + 2), (x - 5)
If a quadrilateral has exactly 2 lines of symmetry, and both are angle bisectors, then which statement would be true?
The figure must be an isosceles trapezoid because it has 2 congruent base angles.
The figure must be a rectangle because all rectangles have exactly 2 lines of symmetry.
The figure could be a rhombus because the 2 lines of symmetry bisect the angles.
The figure could be a square because the diagonals of a square bisect the right angles.
Answer:
the figure could be a rhombus because the 2 lines of symmetry bisect the angles
Step-by-step explanation:
Option C is correct. , if a quadrilateral has exactly 2 lines of symmetry, and both are angle bisectors, the figure could be a rhombus because the 2 lines of symmetry bisect the angles.
Quadrilaterals are figures with four sides and angles. Examples of quadrilateral include:
RectangleSquarerhombusA line of symmetry is a line that divides a shape such that they become mirror images of each other.
Hence, if a quadrilateral has exactly 2 lines of symmetry, and both are angle bisectors, from the options, the figure could be a rhombus because the 2 lines of symmetry bisect the angles (divides the angles equally).
Learn more here: https://brainly.com/question/19670823
f(x)=5x−3
f(5) = ???
Answer:
22
Step-by-step explanation:
5(5) -3
25-3
22
Answer:
the answer is 22.
Step-by-step explanation:
In the notation "s(x) = ...," what does "s(x)" represent?
A.
The value of x depends on the value of s(x), since xis a function of s.
OB.
There is not enough information to answer this question.
C.
The value found when sis multiplied by the value x.
D.
The value of s(x) depends on the value of x, since s is a function of x.
Answer:
C
Step-by-step explanation:
I think
9x - 3y = -42 and -9x + 8y =22
Answer:
(-5 1/9, -4)
Step-by-step explanation:
Add the equations
5y=-20
y=-4
-9x+8(-4)=22
-9x-32=22
-9x=46
x= - 5 1/9
What is the slope of the line shown below?
10
(6,2)
10 (-2,-3)
10
10-
O
A.
olm
O
B.
LOCO
O c.
D.
O
100
Helpppppp
8. Lilly paid $19.16 for a 1kg apple basket. This amount includes a tax of 3%. What was the cost of the apple before tax?
Answer:
19.75. The apples cost 19.75 before the tax.
Step-by-step explanation:
0.97(x)=19.16
19.75
Which expression is equivalent to 3x + 6y?
Answer:
3x+6y =0
-6y
3x=-6y
x=-2y
Step-by-step explanation:
What is the constant in 15-8y
A 15
B 8
C-8
D -15
Inside triangle ABC point O was drawn such that ∠OAB, ∠OBA, ∠OBC, and ∠OCA are all congruent. It is also true that ∠OAC and ∠OCB congruent. Find the angle measures in triangle ABC.
Answer:
m∠A = 60
m∠B = 60
m∠C = 60
Step-by-step explanation:
Please mark Branilest
Colleen is knitting a scarf. For every 45 pieces of blue yarn she uses, she uses 18 pieces of red yard. What equation can be used to represent the proportional relationship between the amount of blue yarn, b, and red yard, r, that Colleen uses when knitting a scarf?
Answer:
The equation that can be used to represent the proportional relationship between the amount of blue yarn, b, and red yarn, r, that Colleen uses when knitting a scarf is:
b = 2.5 ror
b = 5r/2Step-by-step explanation:
In the exercise are given the variables that we must use in the equation: b and r, where b is the amount of blue yarn and r is the amount of the red yarn, now it's just missing the proportion that must be used in the equation, to identify this you only must divide the biggest amount (45) by the smallest amount (18), how I show below:
Proportion = 45/18 = 2.5 or 5/2Having this, you can make the equation taking into account the proportion:
b = 2.5 rThis equation marks that by each piece of blue yarn, are needed 2.5 pieces of red yarn, we can prove the equation replacing the r-value by 18:
b = 2.5 r b = 2.5 (18) b = 45How you can see, replacing the r-value by 18, the value given for red yarn, we obtain the value given for the blue yarn: 45.
Answer:
b = 2.5 r
or
b = 5r/2
Find two numbers that differ by 8 and whose square roots differ by 1. Those two numbers are ___ and ____
Answer: 12.25 and 20.25
Step-by-step explanation:
20.25 - 12.25 = 8
Square root of 20.25 is 4.5
Square root of 12.25 is 3.5
4.5 - 3.5 = 1
Hope this helped
Find the value of x in the given figure using properties of parallel lines. answers: A) 35° B) 15° C) 75° D) 105°
Answer:
x = 75
Step-by-step explanation:
X and 105 are supplementary angles so they add to 180
x+105 = 180
Subtract 105 from each side
x = 180-105
x= 75
Which took place in 1853?
O The US made the Gadsden Purchase.
The US received payment from Mexico for Texas.
Mexico won the Mexican-American War.
Mexico paid the US for the Mexican Cession.
Answer:
The answer is a
Step-by-step explanation:
I hoped i helped
Please help me i dont understand this is 15 points
Answer:
2. y =13x + 143
Step-by-step explanation:
plug in numbers in your calculator; go to stat → edit,then again to stat → calculate →linear reg→ enter and get a and b, round the numbers
a = 13 , b = 143
25 POINTS!!!!Which of the following statements are true? Select all that apply.
The product of B and D is negative.
The quotient of A and C is positive.
= A ∙
The quotient of 0 and F is undefined.
A ∙ D = -E ∙ D
Answer:
then 0 and f have to be positive.
Step-by-step explanation:
Mark me brainlest.
Answer:
Its A and C and F
Step-by-step explanation:
Find an equation of the line passing through the pair of points. Write the equation in the form Ax+By = C.
(-6,3), (-7, - 7)
Answer:
-10x + y = 63
Step-by-step explanation:
Let's find the slope of this line. Going from (-7, -7) to (-6, 3), the "run" is +1 (this is the increase in x) and the "rise" is -10 (y increases by 10). Thus, the slope, m, is m = rise / run = 10 / 1 = 10.
Using the point-slope version of the equation of a straight line, we get
y + 7 = 10(x + 7)
Performing the multiplication results in
y + 7 = 10x + 70.
Rearranging these terms in the form Ax + By = C, we get:
-10x + y = 63
Check this by substituting -6 for x and 3 for y:
-10(-6) + 3 = 63 This is TRUE
Me. Parsons wants to build a new banister for the staircase shown. If the rise of the stairs of a building is 5 feet and the run is 12 feet, what will be the length of the new banister?
I need this to be explained
How many dimensions does a plane have?
Ο Α. Two
O B. Zero
O C. One
O D. Three
Answer:
2
Step-by-step explanation:
In mathematics, a plane is a flat, two-dimensional surface that extends infinitely far
How many dimensions does a plane have?
● Α. Two
O B. Zero
O C. One
O D. Three
4x (2x® - 7x2 + x)
O 8x4 - 28x3+4x2
o 16x - 7x2 +4x
o 8x4 - 7x2 + x
o 16x4 - 3x3+4x2
Answer:
8x^4 - 28x^3 + 4x^2.
Step-by-step explanation:
4x(2x^3 - 7x^2 + x)
= 4 * 2x^3 + 4x*-7x^2 + 4x*x
= 8x^4 - 28x^3 + 4x^2.
Answer:
8[tex]x^{4}[/tex]-28x³+4x²
Step-by-step explanation:
4x(2x³-7x²+x)=
8[tex]x^{4}[/tex]-28x³+4x²
2x³ × 4x = 8[tex]x^{4}[/tex]
7x² × 4x = 28x³
x × 4x = 4x²
30. The box-and-whisker plot shows the average temperatures in Tucson, Arizona in December. (1 point)
Which statement about the temperatures in Tucson must be true?
About half of the days in December had average temperatures above 60 degrees.
About half of the days in December had average temperatures between 52 and 60 degrees.
The coldest day in December was 52 degrees.
The hottest day in December was 65 degrees.
Answer:
About half of the days in December has average tempetare between 52 and 60 degrees
(SEE THE ATTACHMENT)
Step-by-step explanation:
See the box-and-whisker plot.
Median = 58
1st quartile (which is the median of all value below 58) = 52
2nd quartile (which is the median of all value above 58) = 60
From 1st quartile to median = Almost quarter of the values
From median to 2nd quartile = Almost quarter of the values
From 1st quatile to 2nd quartile = Almost half of the values
So
1st statement is wrong
2nd statement is correct
3rd statement is wrong (Coldest day was 49 degrees)
4rth statement is wrong (Hottest day was 68 degrees)
This equation has one solution. 3(x – 2) + 4x = 10(x + 1) What is the solution? A.–5 B.–2 C.StartFraction negative 16 Over 3 EndFraction D.StartFraction negative 16 Over 7 EndFraction
Answer:
-16/3 = x
Step-by-step explanation:
3(x – 2) + 4x = 10(x + 1)
Distribute
3x -6 +4x = 10x+10
Combine like terms
7x-6 = 10x+10
Subtract 7x from each side
-6 = 3x+10
Subtract 10 from each side
-16 = 3x
Divide by 3
-16/3 = 3x/3
-16/3 = x
Answer:
x = -16/3
Step-by-step explanation:
All work is in the image below!
