Answer:128 cm^2
Step-by-step explanation:
Rashida keeps her collection of 96 books on three shelves
-there are 24 books on the first shelf
-there are x books on the second self
-the number of books on the third shelf is 3 times the number of books on the second shelf
what is the value of x the number of books on the second shelf
a 16
b 21
c 18
d 24
a small toy car cost $3. a large toy car cost 5 times as much as the small one aron wants to buy one of each. which equation can he use to find the cost (a) of the two cars?
he is going to pay $3 for the small one
for the large one we have that it is 5 times ithe price of the small one so w gotta multiply 3 by 5 which gives us 15 dollars we add them 15+3=18 so he gotta pay $18 for both the small one and the large one
Please Help! You Dont Have To do the Bottom Questions Just The Top!
Using a number line, find both the intersection and the union of the following
intervals:
[1, 5] and (0,8]
pls help !
Answer:
The union of the intervals is (0,8]
The intersection of the intervals is [1,5]
Hope this helped!
find the zeroes of the polynomial and verify the relations between coefficient and zeroes
3x²-x-4
Answer:
(-1) & 4/3
Step-by-step explanation:
Polynomial:3x² - x - 4
Sum = -1
Product = 3*(-4) = -12
Factors = -4 and 3 { (-4)*3 = -12 & (-4) + 3 = -1}
3x² - x - 4 = 3x² + 3x - 4x -4 {Rewrite the middle term using the factors}
= 3x(x + 1) -4(x + 1)
=(x + 1)(3x - 4)
x + 1 = 0 ; 3x - 4 = 0
x = -1 ; 3x = 4
x = 4/3
[tex]\sf Zeroes \ of \ the \ polynomial \ are \ (-1) \ and \ \dfrac{4}{3}[/tex]
Verification:
[tex]\sf 3x^2 - x - 4 = 0\\\\Divide \ the \ entire \ equation \ by \ 3\\\\\\\dfrac{3x^2}{3}-\dfrac{x}{3}-\dfrac{4}{3}=0\\x^2 - \dfrac{x}{3}-\dfrac{4}{3}=0[/tex]
Coefficient of x = sum of the zeroes
[tex]\sf = -1 + \dfrac{4}{3}\\\\=\dfrac{-3}{3}+\dfrac{4}{3}\\\\=\dfrac{1}{3}\\\\[/tex]
Constant = product of the zeroes
[tex]\sf = (-1)*\dfrac{4}{3}\\\\=\dfrac{-4}{3}[/tex]
Thus verified.
How do you write an x-intercept as a point?
The X-intercept is the point where the line crosses the x-axis. This happens where the Y is equals to zero.
The point slope form of a line is an equation of the line that takes on the form y - y1 = m(x - x1). In this equation, m is the slope of the line, and (x1, y1) is a point on the line. The x-intercept of a line is the x-coordinate of the point where the line crosses the x-axis. This always happens at the point where y is equal to 0. Therefore, we find the x-intercept of a line in point-slope form by plugging y = 0 into the equation and then solving for x. The point-slope formula is composed of a specific point of coordinates and a slope indicating a type of change over a given variable, such as distance over time. It is said to be as the x-coordinate of a point where a line, curve, or surface intersects the x-axis.
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Grant reads as part of his homework each week. he must read for at least 4 hours each week as part of his homework. This past weekend, he reads for 1.5 hours. Grant makes a graph of the inequality 5n +1.5 greater than or equal to 4 to determine all the numbers,n,of hourse he could read on each of the 5 weekdays this week. The graph is shown. Which describes the solution set of the inequality? A. all whole-number values of n that are at least 1 B.all whole-number values of n that are greater than 1 C.all rational-number values of n that are at least 0.5 D.all rational-number values of n that are greater than 0.5
A statement which correctly describes the solution set of the given inequality include the following: C. all rational-number values of n that are at least 0.5.
What is a rational number?In Mathematics, a rational number can be defined a type of number which comprises fractions, integers, terminating or repeating decimals such as the 12, 0.5, √16, etc.
Next, we would translate the word problem into algebraic inequality and then solve for the value of n as follows;
5n + 1.5 ≥ 4
Subtracting 1.5 from both sides of the algebraic inequality, we have:
5n + 1.5 - 1.5 ≥ 4 - 1.5
5n ≥ 2.5
Dividing both sides of the algebraic inequality y 5, we have:
n ≥ 2.5/5
n ≥ 0.5
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In the diagram below, AB and BC are tangent to 0. What is the measure of ADC?
A.252°
B.180°
C.216°
D.144°
Answer:
Step-by-step explanation:
It’s A
The measure of the arc ADC is 252°
What is an arc?The arc of a circle is defined as the part or segment of the circumference of a circle.
Given that, a circle O, with tangents AB and BC, the measure of arc AC is 108°, the measure of angle ABC is 72°, we need to find the measure of arc ADC,
According to the definition of circle,
We have,
m ∠ABC = (m arc ADC + m arc ADC) / 2
72° = (m arc ADC - 108°) / 2
144° = m arc ADC - 108°
m arc ADC = 144° + 108°
m arc ADC = 252°
Hence the measure of the arc ADC is 252°
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n^2-2n-3=0 complete the square method
Answer:
n = - 1 , n = 3
Step-by-step explanation:
n² - 2n - 3 = 0 ( add 3 to both sides )
n² - 2n = 3
to complete the square
add ( half the coefficient of the x- term)² to bpth sides
n² + 2(- 1)n + 1 = 3 + 1
(n - 1)² = 4 ( take square root of both sides )
n - 1 = ± [tex]\sqrt{4}[/tex] = ± 2 ( add 1 to both sides )
n = 1 ± 2
Then
n = 1 - 2 = - 1
n = 1 + 2 = 3
Help plz! Show work also!! I need help ASAP!!
Step-by-step explanation:
13x-3= 3x+2 +55 (exterior angle is equal to the sum of 2 opposite interior angles)
or, 13x-3x=57+3
or,10x=60
x=60/10
x=6
FAB =13x-3
=13*6-3
=75
PLS HELP NEED ANSWERS QUICK WILL GIVE BRAINLIEST
Answer:
a- 10x^2 - 4x + 12
b- no, the first equation is −1/4⋅(5x^2+6x−24) and the second is -1/4⋅(10x^2+7x-24)
Step-by-step explanation:
m6th w6y
BRAINLIEST??
How do you find the unknown part of a right triangle?
To find the unknown part of a right triangle, you can use the Pythagorean theorem or the trigonometric ratios.
A right triangle is a triangle that has one angle measuring exactly 90 degrees, this angle is called the right angle.
To find the unknown part of a right triangle, you can use the Pythagorean theorem, which states that in a right triangle, the sum of the squares of the lengths of the two shorter sides (legs) is equal to the square of the length of the longest side (the hypotenuse). The formula is:
a² + b² = c²
Where c is the length of the hypotenuse and a and b are the lengths of the legs.
You can use this theorem to find the length of a missing side, if you know the length of the other two sides. For example, if you know the lengths of the two legs (a and b) and you need to find the length of the hypotenuse (c), you can use the formula:
c = √(a² + b²)
Alternatively, if you know the length of the hypotenuse (c) and one leg (a), you can use the formula to find the length of the other leg (b):
b = √(c² - a²)
Another way to find the unknown part of a right triangle is the use of trigonometric ratios. As you know, in a right triangle, there are three main ratios: sine, cosine, and tangent. These ratios are defined as follows:
Sin(A) = a/c
Cos(A) = b/c
Tan(A) = a/b
Where A is one of the acute angles of the triangle, and a,b,c are the sides of the triangle. By using the known side and the known angle you could find the unknown side.
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Please please please help me I need it asap! Please!!
Point A, located at (-11, -7) on the coordinate plane, is reflected over the x-axis to form point B. Then point B is reflected over the y-axis to form point C.
What are the coordinates of points B and C?
A: Point B: (-11, 7) Point C: (11, -7)
B: Point B: (11, -7) Point C: (11, 7)
C: Point B: (11, -7) Point C: (-11, 7)
D: Point B: (-11, 7) Point C: (11, 7)
Answer:
D) I’m 100% sure it’s correct!
Step-by-step explanation:
Please help I have a learning disablity and need help with this.
Use Distribute Property to rewrite the algebraic expression.
Please answer both parts
8(x + 7)
Answer here _____________
Use Distribute Property to rewrite the algebraic expression.
6(11 + x)
Answer here ____________
The value of 8(x + 7) is 8x + 56.
The value of 6(11 + x) is 66 + 6x.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
The distributive property of multiplication over addition states that,
a x (b + c) = a x b + a x c
Now,
8 x (x + 7)
= 8 x (x) + 8 x 7
= 8x + 56
6 (11 + x)
= 6 x 11 + 6 x (x)
= 66 + 6x
Thus,
The value is 8x + 56 and 66 + 6x.
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I) if y varies directly as x and inversely as the square root of z, and y = 1/6 when x = 20 and z = 6, determine y when x = 14 and z = 5
Answer: Since y varies directly as x and inversely as the square root of z, we can write the following equation:
y = kx/(sqrt(z)), where k is a constant.
We can find the value of k by substituting the known values into the equation. We get:
1/6 = k*20/sqrt(6)
k = 1/240
Substituting this value of k into the original equation, we get:
y = (1/240)x/(sqrt(z))
Substituting the values x = 14 and z = 5 into this equation, we get:
y = (1/240)(14)/(sqrt(5)) = 7/120 sqrt(5) ≈ 0.22
Step-by-step explanation:
Iris found a value of 1/64
when she evaluated an expression.
Which could have been the expression Iris evaluated? Check all that apply.
A.2-6
B.6-4
C.4-3
D.(one-half) Superscript negative 5
E.(one-fourth) Superscript negative 3
Answer:
A and C or 2-6 and 4-3
Step-by-step explanation:
HELPPPPPP PLEASEeeeeeeeeeeeeee
A right triangle's hypotenuse is its longest side, its "opposite" side is the one that faces a certain angle, and its "adjacent" side is the one that faces the angle in question.
How do you find the sides of a triangle?In a right triangle, the hypotenuse is the longest side, the "opposite" side is the one that faces a particular angle, and the "adjacent" side is the one that faces that angle.
Step 1: Simplify both sides of the equation.
[tex]$$4 g-6=8$$\\Step 2: Add 6 to both sides.$$\begin{aligned}& 4 g-6+6=8+6 \\& 4 g=14\end{aligned}$\\$Step 3: Divide both sides by 4 .$$\begin{aligned}& \frac{4 g}{4}=\frac{14}{4} \\& g=\frac{7}{2}\end{aligned}$$[/tex]
[tex]$g=3 \frac{1}{2}$[/tex]
Therefore, the correct answer is option a)[tex]$g=\frac{7}{2}$[/tex].
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PLEASE HELP BETS ANSWER GETS CROWN THERE ARE 2 QUESTIONS
ANSWER LIKE THIS
Q1. ANSWER
Q2. ANSWER.
NO LINKS OR FILES PLEASEEEE. (btw this is my last one)
IM pretty sure its B.
Answer:
Q1 is Seth will have 10 more cards than Matt
Q2 is Chart B
Step-by-step explanation:
First let's find the equation of the lines and chart so we can extend the graph.
Seth's chart has the equation y = x × 4
Matt's graph has the equation y = x × 2 + 20
The extended graphs can be seen below in an attachment. If you want to make these graphs yourself, I suggest Desmos
So on week 15, Seth has 60 and Matt has 50
Find the difference by subtracting
60 - 50 = 10
The final answer is Seth will have 10 more cards than Matt
Question 2
A linear relationship is a statistical term used to describe a straight-line relationship between two variables. Linear relationships can be expressed either in a graphical format or as a mathematical equation of the form y = mx + b.
Now we need to find the equations of the lines and graph them.
I have found the equations of the line and graphed them which can be seen in an attachment below.
We need to find the that follows the correct equation y = mx + b.
This would be answer B.
Hope this helps!!
Can someone help me with this question ?
Answer:
B. exponential
Step-by-step explanation:
Answer:
b
Step-by-step explanation:
What are the 4 steps in solving simple problems in mathematics?
The 4 steps in solving simple problems in mathematics is explained below.
According to the author called Polya created his famous four-step process for problem solving that one is used all over to aid people in problem solving
The first and foremost Step is to understand the problem which includes identification of the unknowns and figure out what the problem tells you is important and then we have to identify any information that is irrelevant to the problem.
Then the nest step is to Devise a plan which means that Look for a pattern and then by using it we have to make a table, diagram or chart and then write an equation.
Then we have to move onto the next steps that is to carry out the plan which means the process of solving the question.
Then the final step is to Look back problem that is none other than check and interpret its reliability of the solution
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b. If 3:4 = x:24, Find the value of x.
Answer:
X= 18
Step-by-step explanation:
24/4=6 x 3= 18
Answer:
x=18
Step-by-step explanation:
3/4=x/24
3×24=4×x
72=4x
x=72/4
x=18
NEED HELP ASAPP 100 POINTSSS
Answer:
Statement 1) Corresponding angles
Statement 2) Congruent
Statement 3) 150 degrees
Statement 4) Vertical Angles
Statement 5) Congruent
Statement 6) 150 degrees
Statement 7) Alternate exterior angles
Statement 8) Congruent
Statement 9) Alternate Interior angles are congruent
Step-by-step explanation:
Explanation:
1) I've learned this before
2) Not all Corresponding angles are obtuse
3) Corresponding angles have the same measure
4) I've learned this before
5) Vertical Angles are congruent
6) Same reason as before
7) I've learned this before
8) Alternate Interior angles are congruent
9) I've learned this before
Please mark me the brainliest! Thank you!
Write two equations that can be solved using the double 7+7
Using doubles plus one fact the sum of 7 + 7 is equal to 15 it is done by simply adding 1 to the given number.
What is Doubles plus ?When we add two of the same number, we add using the “doubles fact”. For example, 1 + 1 and 2 + 2 are both doubles facts. Look at the example below: 4 + 4 = 8 is a doubles fact. Doubles fact can help us know other additional strategies like doubles plus one
A double is a number or an amount that is twice as large as the given number or amount. So, if we multiply a number by 2 or if we add a number to itself we say that the number is doubled
The sum of 7 + 7 can be determined by using doubles plus one fact as:
Simply add 1 in 7 + 7 to get the result required.
Therefore by using doubles plus one fact the sum of 7 + 7 is equal to 15.
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The radius of a spherical balloon increases from 7 cm to 14 cm as air is being pumped into it. Find the ratio of surface areas of the balloon in the two cases. *
On solving the provided question, we can say that the spherical balloon's initial radius is 7 cm.; the final radius is 14 cm. ratio = (7/14) ^2 = 1:4
what is radius?The length of a circle or sphere, in more contemporary use, is the same as its radius in classical geometry, which is one of the line segments from its center to its circumference. The Latin word radius, which also refers to the spokes of a wagon wheel, gave rise to the term. The distance a circle's center is from any point on its perimeter is its radius. Usually, "R" or "r" is used to indicate it. A radius is a line segment that has one endpoint in the center and one on the circumference of a circle. Circular diameter equals radius The diameter of a circle is the segment that traverses its center and has ends that are on the circle.
The spherical balloon's initial radius is 7 cm.
The final radius is 14 cm.
ratio =
(7/14) ^2 = 1:4
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y = 130(0.45)x
What is the growth factor, decay factor, or slope?
What is the initial amount?
Blank 1:
Blank 2:
Answer:
initial amount is 130
decaying at 55%
Step-by-step explanation:
Write an equation that represents the line.
Use exact numbers.
slope
Answer:
y + 2 = (4/5)(x - 2)
Step-by-step explanation:
Two dots on the line are shown: (-3, -6) and (2, -2).
As we move from the first to the second, x (the 'run') increases by 5 and y (the rise) increases by 4. Thus, the slope of this line is m = rise / run = 4/5.
Using the point-slope formula y - k = m(x - h), we get:
y + 2 = (4/5)(x - 2)
Please answer with explanation
Answer:
m = 8
Step-by-step explanation:
Expand the left side
Each term in the second factor is multiplied by each term in the first factor
7a²(4a² - 1) + 2a(4a² - 1) - 3(4a² - 1) ← distribute parenthesis
= 28[tex]a^{4}[/tex] - 7a² + 8a³ - 2a - 12a² + 3 ← collect like terms
= 28[tex]a^{4}[/tex] + 8a³ - 19a² - 2a + 3
Comparing the coefficients of like terms with those on the right , then
m = 8
Como se dice 1.053.507 en letras?
un millon cincuenta y tres mil quinientos siete
Please hurry, this is past due.Don’t answer if you don’t know.
Answer:
31.4cm
Step-by-step explanation:
Formula for circumference of a circle:
[tex]C = 2\pi r[/tex]
The radius of a circle is half of the diameter:
10/2 = 5
Plug in the values using 3.14 for pi:
C = 2(3.14)(5)
C = 31.4cm
Answer:
D. 70.39
Step-by-step explanation:
This is not a good question, but I will show you how to get the answer I chose.
Area = (pi)(r)^2
394.38 = (3.14)(r)^2
divide both sides by 3.14
125.598726 = r^2
take the square root of both sides
r = 11.207083...
rounded is 11.21
---------------------------
Circumference = (2)(pi)(r)
C = (2)(3.14)(11.207083)
C = 70.38
----------------------------------------
Here's why it's a bad question:
If the diameter is 10, the radius is half of that, = 5
Area = (pi)(r)^2
Area = (3.14)(5)^2
A = (3.14)(25)
A = 78.5
So the question says the diameter is 10, but if that's true, the area cannot be 394.38
Also, the circumference can be calculated as (pi)(diameter), so 3.14 x 10 = 31.40, which is not an answer option.
help help help me please
Answer:
the answer is B
Step-by-step explanation: