Step-by-step explanation:
[tex]1.\ \dfrac{x}{16}=\dfrac{45}{40}\qquad\text{cross multiply}\\\\40x=(16)(45)\\\\40x=720\qquad\text{divide both sides by 40}\\\\\boxed{x=18}\\\\======================[/tex]
[tex]2.\ \dfrac{x}{5}=\dfrac{1}{4}\qquad\text{cross multiply}\\\\4x=(1)(5)\\\\4x=5\qquad\text{divide both sides by 5}\\\\\boxed{x=\dfrac{4}{5}}\\\\======================[/tex]
[tex]3.\ \dfrac{2.5}{10}=\dfrac{x}{50}\qquad\text{cross multiply}\\\\10x=(2.5)(50)\\\\10x=75\qquad\text{divide both sides by 10}\\\\\boxed{x=7.5}\\\\======================[/tex]
[tex]4.\ \dfrac{x}{6}=\dfrac{2}{9}\qquad\text{cross multiply}\\\\9x=(6)(2)\\\\9x=12\qquad\text{divide both sides by 9}\\\\x=\dfrac{12}{9}\\\\x=\dfrac{12:3}{9:3}\\\\\boxed{x=\dfrac{4}{3}}[/tex]
A y=cos(x+pi/2)
B y=cos(x+2pi)
C y=cos(x+pi/3)
D y=cos(x+pi)
Answer:
D
Step-by-step explanation:
There was actually too much work for this on my paper so I can't really show it, but if you can memorize this parent function I would.
It’s D) y=cos(x+pi).
La respuesta
3^0·10^(-4)=
a)-120
b)1
c)1/10,000
Answer:
b
Step-by-step explanation:
3^0
Sophie drank 8 cups of water one day. How many pints of water did she drink?
Sophie drank 4 pints of water.
♫ - - - - - - - - - - - - - - - ~Hello There!~ - - - - - - - - - - - - - - - ♫
➷The answer is 4.
She drank 4 pints of water.
Each cup is 1/2 of a pint, so you divide by 2
Therefore, you would get 4 pints of water.
✽
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what is the equation of the line that passes through (1,2) and is parallel to the line whose equation is 4x+y-1=0?
1. 4x-y-6=0
2. 4x+y-6=0
3. 4x+y+6=0
the answer would 4x+y+6=0
Answer:It is very easy to work out, you just have to put them into slope-intercept form which is y=mx+b
Step-by-step explanation:
what is 21ax + 10by - 35ay - 6bx?
Answer:
That is it's simplest form
Step-by-step explanation:
There is no coefficients that are the same
Help please ! It is precal
Answer:
The answer is the third
S = 16 t²
Step-by-step explanation:
* Lets study the order pairs in C to find what is the relation
between the input (t) and the output (S)
∵ C = {(t , S): (0 , 0) , (1 , 16) , (2 , 64) , (3 , 144) , .............}
∵ (0 , 0) is the first point
∴ There is no plus or minus in the relation between S and t
∴ We refused the last answer S = 16(t + 1)² because
if t = 0 then S = 16(0 + 1) = 16 ≠ 0
- If we chose the first answer:
∵ S = 16t
∵ t = 0 ⇒ S = 16(0) = 0 ⇒ its right
∵ t = 1 ⇒ S = 16(1) = 16 ⇒ its right
∵ t = 2 ⇒ S = 16(2) = 32 ⇒ its wrong
∴ We refused the first answer
- If we chose the second answer:
∵ S = (16t)²
∵ t = 0 ⇒ S = (16×0)² = 0 ⇒ its right
∵ t = 1 ⇒ S = (16×1)² = 256 ⇒ wrong
∴ We refused the second answer
- If we chose the third answer:
∵ S = 16 t²
∵ t = 0 ⇒ S = (16)(0)² = 0 ⇒ its right
∵ t = 1 ⇒ S = (16)(1)² = 16 ⇒ its right
∵ t = 2 ⇒ S = (16)(2)² = 16 × 4 = 64 ⇒ its right
∵ t = 3 ⇒ S = (16)(3)² = 16 × 9 = 144 ⇒ its right
∴ every time we multiply 16 by the square of the value of t
∴ We accept the third answer
Please I Need help ASAP plz
The student did not solve it correctly. They forgot to add the 5 foot height to the value of x.
The correct height is 23.4 feet, I know because I added 5 to the value of x.
find the zeros of f(x)=x^2+2x-8
Answer:
(x - 2) (x +4)
Step-by-step explanation:
Find what two numbers multiplied make -8 and those same numbers will equal 2 when they are subtracted. So...
4 x -2 = 8
4 - 2 = 2
So, (x - 2) (x + 4)
Answer:
(2,-4)
Step-by-step explanation:
The sum of two numbers is 38. The greater number is 8 more than the other number. Find each number. Use a system of linear equations to justify your answer
Answer:
g + l = 38
g = l + 8
l + 8 + l = 38
2l = 30
l = 15, g = 23
The numbers are 15 and 23. The lesser number is 15, and the greater number is 23.
To find the two numbers, we can set up a system of linear equations. Using substitution method, we find that the numbers are 23 and 15.
Explanation:To solve this problem, we can set up a system of linear equations. Let's assume that the two numbers are x and y, with x being the greater number.
We're given that the sum of the two numbers is 38, so we can write the equation x + y = 38.
We're also given that the greater number is 8 more than the other number, so we can write the equation x = y + 8.
We can solve this system of equations using substitution or elimination method. Let's use substitution method.
From the second equation, we can substitute the value of x in the first equation:
y + 8 + y = 38
2y + 8 = 38
2y = 30
y = 15
Now, substitute the value of y in the second equation:
x = 15 + 8
x = 23
Therefore, the two numbers are 23 and 15.
what is the value of x in the equation? 2/3(x+6)=-18
Answer:
C.) -33
Step-by-step explanation:
2/3 (x+6) = -18
x+6 = -27
x = -33
Answer:
B
Step-by-step explanation:
2/3*(x + 6) = -18
Multiply by 3
2(x + 6) = -18*3
2(x + 6) = -54
Remove the brackets
2x + 12 = - 54
Subtract 12 from both sides
2x+12-12 = - 54 - 12
Combine like terms
2x = -66
Divide by 2
2x/2 = -66/2
x = -33
Answer B
The second step in solving 1/3n- 7/12 is to divide both sides of the equation by 1/3.
True Or false?
that is true if that's 1/3n=7/12
if it's 1/3n-7/12 then the first step is to equal it to zero
Yes, the second step in solving 1/3n = 7/12 is to divide both sides of the equation by 1/3.
What is a expression? What is a mathematical equation? What is Equation Modelling? What is denominator?A mathematical expression is made up of terms (constants and variables) separated by mathematical operators. A mathematical equation is used to equate two expressions. Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem. In a fraction say (x/y), [y] is called denominator.
We have the equation -
(1/3)n = (7/12)
We have -
(1/3)n = (7/12)
Dividing both sides by (1/3), we get -
[(1/3)/(1/3)]n = [7/12 x 3]
n = 7/4
Therefore, yes, the second step in solving 1/3n = 7/12 is to divide both sides of the equation by 1/3.
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the angle of elevation from mindy to a cell phone tower is 75. if mindy is standing 28 feet from the base of the tower, find the height of the tower
A) 104.5 ft
B) 105.8 ft
C) 106.1 ft
D) 107.4 ft
E) 108.9 ft
It is 104.5
Please mark me the Brainliest answer! Hope this helps. Hugs.
Using the tangent function with the given angle of elevation and distance to the tower, we can calculate that the height of the tower is approximately 106.1 feet, which is answer C.
Explanation:
This is a question about trigonometry, specifically using tangent ratios. Given that the angle of elevation from Mindy to the top of the cell phone tower is 75 degrees and Mindy is standing 28 feet from the base of the tower, we need to find the height of the tower. The tangent of an angle in a right triangle is defined as the opposite side (the height of the tower in this case) divided by the adjacent side (the distance from Mindy to the tower).
Using the tangent function gives us: Tan(75) = height / 28. Multiplying both sides by 28 gives us the height: height = 28*Tan(75). Calculating this gives us the height of the tower, which is approximately 106.1 feet, therefore Option C is correct.
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What is the best interpretation of the y-intercept of the line?
The answer is the 3rd option. hope it helps
➷ The y - intercept is where the line hits the y axis.
At age 0, the height in inches was 30.
Therefore, the best interpretation would be "It's likely that Joanna was about 30 inches tall when she was born."
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What is a proportional relationship and how do you find it?
Answer: A proportional relationship is one in which two quantities vary directly with each other. To Decide whether two quantities are in a proportional relationship, is by testing for equivalent ratios in a table or graphing on a coordinate plane and observing whether the graph is a straight line through the origin.
For Example, 2 × 2 = 4 , and 4 ÷ 2 = 2 ← which is an example of Proportional relationships.
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Please help me solve number 19
Answer:
A x < 1/2
Step-by-step explanation:
4x-14x > -5
Combine like terms
-10x > -5
Divide by -10. Remember to flip the inequality since we are dividing by a negative
-10x/-10 < -5/-10
x < 1/2
Which of the tollowing objects is considered to be one-dimensional because it has length but no width or height?
O A. Line segment
O B. Triangle
O C. Point
O D. Cube
Answer: A. Line segment
Step-by-step explanation:
A line is a one-dimensional geometric straight -undefined figure which has no thickness or depth . It extends infinitely in both directions.
A line segment is a part of a line having end-points on both the sides.
It has only length therefore, it is one dimensional.
Thus , the objects is considered to be one-dimensional because it has length but no width or height is a line segment.
The triangle is 2-dimensional , point has no-dimensions, and cube is 3-dimensional.
A line segment is the correct answer, as in mathematics it is considered one-dimensional because it only has length but no width or height. It extends in one direction, unlike a triangle and a cube, which have more dimensions. The point does not have length.
Explanation:In mathematics, a line segment is considered to be one-dimensional as it only possesses a property of length but no width or height. This means it only extends in one direction, often represented on a number line. In comparison, other options presented such as a triangle, point or cube have other dimensions involved. Specifically, a triangle falls in two dimensions as it has both length and width; a cube is a three-dimensional object possessing length, width, and height; and a point, though it lacks all three dimensions, is not accurate as it doesn't have length, which is the key criterion in the question.
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is 25% of a whole always the same amount ?
Answer:
Not, will be the same proportion but the amount vary depending the specific case.
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Find the volume of a rectanglular prism if the length is x and the width is x^2 and the height is 5x^2 +4x+1. Use the formula v=l•w•h, where the l is the length, w is width and h is height, to find the volume.
Answer:
The volume = [tex]5x^{5}+4x^{4}+x^{3}[/tex]
Step-by-step explanation:
* The rule of the volume of the rectangular prism:
- the volume of any prism = base area × height
∵ The base of the rectangular prism is rectangle
∵ Area any rectangle = Length × Width = l × w
∴ The volume of the rectangular prism = l × w × h
* In the problem:
∵ l = x , w = x² , h = 5x² + 4x + 1
∴ The volume = (x)(x²)(5x² + 4x + 1)
* We will simplify it
- Multiply x by x² and then multiply the answer by the bracket
∵ x × x² = x³
∴ x³(5x² + 4x + 1)
∵ x³ × 5x² = 5x^5
∵ x³ × 4x = 4x^4
∵ x³ × 1 = x³
∴ The volume = [tex]5x^{5}+4x^{4}+x^{3}[/tex]
What is 20% out of 10
Answer:
2
Step-by-step explanation:
Well it’s like, 20 percent of 100% percent it will always be two. I hope you understand am very hard at explaining
Answer:
2
Step-by-step explanation:
Before making invitations, Katrina counted the supplies she bought for her party. She counted 36 water balloons and 81 beads to make bracelets. She then needed to decide how many invitations to make.
What is the largest number of friends she can invite so each person gets the same amount of water balloons and each friend gets the same number of beads?
a.6
b.7
c.9
d.10
please explain thank you.
Answer: C
Step-by-step explanation:
hurry quick I will give you brainiest
An equation is shown below:
6(2x - 11) + 15 = 21
Write the steps you will use to solve the equation and explain each step.
Answer:
multiple 6 with numbers inside paranthesis:
12x - 66 + 15 = 21
add 66 fhen substrack 15 from both sides :
12x = 72 divide both sides with 12:
x = 6
Step-by-step explanation:
In his answer above he didn’t add 81 to both sides. (Somebody correct me if I’m wrong)
Florence has a health insurance policy with a $1,500 deductable and 4% co-pay on the next $10,000. What would most likely increase her premium?
A. increasing the co-pay to 5%
B. decreasing the co-pay to 2%
C. increasing the deductible to $2,500
D. adding fixed co-pays for doctors' visits
a racing bicycle with a cash price of 900 at at 90 down down and 40.50 per month for 24 months
Answer:
1062 for 24 monthly payments plus 90$ down payment
Step-by-step explanation:
90+40.50x x=24 months
40.5 x 24 = 972
+90
------------------------
1062
Is the GCF (greatest common factor) of a pair of numbers ever equal to one of the numbers? Explain why or why not.
if you help me you're cool
Answer:
Yes
Step-by-step explanation:
Yes, that is possible because whenever one number is a factor of the other one, it's their greatest common factor. Here are some examples.
2 and 200
10 and 100
13 and 52
one thousand and one million
could some body help me will mark brainliest thanks :)
Answer:
30 degrees!
Step-by-step explanation:
What is the length of the diagonal?
Answer:
length of x is 50 yards
Step-by-step explanation:
Pythagorean Theorem: a^2 + b^2 = c^2
30^2 + 40^2 = c^2
900 + 1600 = c^2
2500 = c^2 need to solve for c, square root both sides
50 = c
The length of the diagonal is 50 yards. The diagonal of a rectangle divides the rectangle into two right-angled triangles. Thus, by applying the Pythagoras theorem we can able to find the length of the diagonal.
What is the Pythagoras theorem?The theorem states that the sum of the squares on the legs of a right triangle is equal to the square on the hypotenuse (the side opposite the right angle) and the algebraic notation, [tex]a^2 + b^2 = c^2[/tex].
Finding the diagonal of the rectangle:The diagonal of a rectangle divides the rectangle into two halves of right-angled triangles.
The length and breadth of the rectangle are 40 yards and 30 yards.
The diagonal x divides the rectangle. So, it becomes a common hypotenus for the two right-angled triangles.
So, applying the Pythagoras theorem.
x^2 = (40)^2 + (30)^2
= 1600 + 900
= 2500
Thus, the value of x is 50 yards.
Therefore, the length of the diagonal is 50 yards.
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a circle diameter of 11 in what is the area of the circle
Area of circle = [tex]\pi[/tex][tex]r^{2}[/tex]
First, we can put in our values. For now, we can leave [tex]\pi[/tex] alone.
Our radius is 5.5 so we have to square it which gives us a product of 30.25
then, we can multiply our radius squared by [tex]\pi[/tex] and we get
Area, A = 95.033177771091 [tex]in^{2}[/tex]
can you classify types of quadrilaterals and triangles if u know details about their sides and angles?
Answer:
yes
Step-by-step explanation:
A rectangle retaining wall has area of 15 square feet.The height of the wall is two feet less than its length.find the height and the length of the wall
Answer:
The wall is 3 ft high and 5 ft long.
Step-by-step explanation:
Recall: Area of the rectangular wall is A = (length)(height).
Let the height be represented by h. Then the length is represented by h + 2.
The formula A = (length)(height) then becomes A = h(h+2) = 15 ft², which, written in the standard form of a quadratic equation, is h² + 2h - 15 = 0.
Let's solve this last equation for h using completing the square:
h² + 2h - 15 = 0 becomes h² + 2h + 1 -1 - 15 = 0, or (h + 1)² = 16. Taking the square root of both sides, we get:
h + 1 = ±4, which is equivalent to h = 3 and h = -5. Discard the negative result. Then h = 3 and w = 3+2 = 5.
The wall is 3 ft high and 5 ft long. Its area is (3 ft)(5 ft) = 15 ft²
The height and the length of the rectangular wall is 3 feet and 5 feet respectively.
What is the height and the length of the wall?Area of a rectangle = 15 square feet
Length = x feet
Height = (x - 2) feet
Area of a rectangle = height × length
15 = x × (x - 2)
15 = x² - 2x
set to quadratic equation
x² - 2x - 15 = 0
x² - 5x + 3x - 15 = 0
x(x - 5) + 3(x - 5) = 0
(x + 3)(x - 5) = 0
x + 3 = 0 or x - 5 = 0
x = -3 or x = 5
The length of a rectangle cannot be negative
Therefore,
Length = x feet
= 5 feet
Height = (x - 2) feet
= 5 - 2
= 3 feet
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what is the product of (x^2 + 3x + 1)(x^2 + x + 2)
Answer: [tex]x^4+4x^3+6x^2+7x+2[/tex]
Step-by-step explanation:
To solve this exercise you must apply the proccedure shown below:
- Apply the Distributive property (Remember that when you multiply two powers with the same base, you must add the exponents).
[tex]b^m*b^n=b^{(m+n)}[/tex]
- Add the like terms.
Therefore, you obtain that the product is:
[tex](x^2+3x+1)(x^2+x+2)=x^4+x^3+2x^2+3x^3+3x^2+6x+x^2+x+2\\=x^4+4x^3+6x^2+7x+2[/tex]