What is the product for 38 and 40 in math?
The following scatter plot shows the billions of dollars spent by travelers in the United States since 1993.
Write an equation for the line of best fit and then predict how much money travelers will spend in 2008.
A.y=2x+380 travelers will spend about $410 billion in the year 2008.
B.y=2x+320 travelers will spend about $350 billion in the year 2008.
C.y=20x+320 travelers will spend about $620 billion in the year 2008.
D.y=20x+380 travelers will spend about $680 billion in the year 2008.
Answer:
C
Step-by-step explanation:
If a(x) and b(x) are linear functions with one variable, which of the following expressions produces a quadratic function?
(ab)(x)
(a/b)(x)
(a – b)(x)
(a + b)(x)
Answer:
Option (a) is correct.
a(x)b(x) = (ab)(x)
To produce a quadratic equation the two linear equation must be multiply.
Step-by-step explanation:
Given : a(x) and b(x) are linear functions with one variable.
We have to choose from the given option the correct expression that will produce a quadratic equation.
Quadratic equation is an equation which is in the form of [tex]ax^2+bx+c[/tex] where [tex]a\neq0[/tex]
Since given a(x) and b(x) are linear equation in one variables so to get square term we must multiply the two linear equations.
Let a(x)=3x+1
and b(x)= 8x+1
then when we multiply we get,
[tex]a(x)\times b(x)=(3x+1)\times (8x+1)=24x^2+11x+1[/tex]
Thus, To produce a quadratic equation the two linear equation must be multiply.
Thus, a(x)b(x) = (ab)(x) is correct.
Option (a) is correct.
Name an angle complementary to A B C D
Add 21 1/2 in. 10 9/16 in.
The addition is:
[tex]=\dfrac{513}{16}\ in.[/tex] or [tex]32\frac{1}{16}\ in.[/tex]
Step-by-step explanation:We are asked to add the expression :
[tex]21\frac{1}{2}\ in.[/tex] and [tex]10\frac{9}{16}\ in.[/tex]
both the numbers are in mixed fraction .
We will first change both the numbers into simple fraction as follows:
[tex]21\frac{1}{2}=\dfrac{21\times 2+1}{2}\\\\\\21\frac{1}{2}=\dfrac{43}{2}\ in.[/tex]
and
[tex]10\frac{9}{16}=\dfrac{10\times 16+9}{16}\\\\10\frac{9}{16}=\dfrac{169}{16}\ in.[/tex]
Hence, the addition of the two numbers is calculated as follows:
[tex]\dfrac{43}{2}+\dfrac{169}{16}\\\\\\=\dfrac{43\times 8+169}{16}[/tex]
( Since, on taking lcm of 2 and 16)
Hence, we get:
[tex]=\dfrac{513}{16}\ in.[/tex]
which in mixed fraction is:
[tex]32\frac{1}{16}\ in.[/tex]
If CDFG is a kite, find the measure of Angle D.
a. 124
b. 120
c. 118
d. 122
Without additional details about the kite CDFG, such as angle measures or side lengths, it is impossible to provide an exact measure for Angle D.
Explanation:The question asks to find the measure of angle D in a kite named CDFG. Without additional information such as angle measures or side lengths, it is impossible to determine the exact measure of Angle D. However, we know in a kite, there are two pairs of adjacent sides that are equal, and one pair of opposite angles (the angles between the unequal sides) are equal. Typically, the diagonals of a kite are perpendicular, and one of the diagonals bisects the other. This information still does not provide enough context to solve for the measure of angle D without more specific details about the lengths of the sides or measures of other angles.
How do i find the area between the two curves
Final answer:
To find the area between two curves, calculate the definite integral of the difference between the two functions over the interval of interest.
Explanation:
To find the area between two curves, you need to calculate the definite integral of the difference between the two functions over the interval of interest. Let's say the two curves are f(x) and g(x), and you want to find the area between them from x = a to x = b. You can write the integral as follows:
Area = ∫(f(x) - g(x)) dx from a to b
Then you can evaluate this integral using integration techniques, such as u-substitution or integration by parts, to find the area between the two curves.
How much of the circle is shaded? Write your answer as a fraction in simplest form.
Answer:
[tex]13/28[/tex]
Step-by-step explanation:
Let
x-----> the shaded area
we know that
[tex]x+\frac{1}{4}+\frac{2}{7}=1[/tex]
Because the complete circle represent the [tex]100\%[/tex]
and
[tex]100\%=100/100=1[/tex]
solve for x
Multiply by [tex]28[/tex] both sides
[tex]28x+7+8=28[/tex]
[tex]28x=28-15[/tex]
[tex]28x=13[/tex]
Divide by [tex]28[/tex] both sides
[tex]x=13/28[/tex] ----> fraction irreducible
Solve the Inequality.
-5r + 6 ≤ -5(r+2)
To solve the inequality -5r + 6 ≤ -5(r+2), the answer is that this inequality has no solution.
Solve the Inequality:
-5r + 6 ≤ -5(r+2)
Distribute the -5 on the right side: -5r + 6 ≤ -5r - 10
Combine like terms: 6 ≤ -10
Since 6 is not less than or equal to -10, the inequality has no solution.
Which of the symbols correctly relates the two numbers below? Check all that apply.
55?35
A. less than or equal to
B. more than or equal to
C.<
D. not equal to
E.=
F.>
Answer:
>
Step-by-step explanation:
Given : [tex]55?35[/tex]
To Find: Which of the symbols correctly relates the two numbers below?
Solution:
We are given that [tex]55?35[/tex]
Since we know that 55 is greater than 35 .
So, sign of greater than (>)should replace ?
So, [tex]55>35[/tex]
Hence Option F is correct.
So, [tex]55?35[/tex] = [tex]55>35[/tex]
Option F : >
What is 125 in exponential form?
Juanita is 15 years old and her brother is 5. what is the ratio of juanita's age to her brother's age?
Answer: The required ratio is 3 : 1.
Step-by-step explanation: Given that Juanita is 15 years old and her brother is 5 years old.
We are to find the ratio of Juanita's age to her brother's age.
Let x and y represents the ages of Juanita and her brother respectively in years.
Then, according to the given information, we have
[tex]x=15,\\\\y=5.[/tex]
Therefore, the ratio of Juanita's age to her brother's age is given by
[tex]x:y\\\\=\dfrac{x}{y}\\\\\\=\dfrac{15}{5}\\\\\\=\dfrac{3}{1}\\\\=3:1.[/tex]
Thus, the required ratio is 3 : 1.
11/9 converted to a mixed number is
To write an improper fraction as a mixed number, divide the denominator into the numerator.
Image is provided.
Therefore, the improper fraction 11/9 can be written as the mixed number 1 and 2/9.
How do you write 1/30 in decimal form?
1/30 in decimal form can be rounded to 0.033.
To convert the fraction 1/30 into decimal form, you simply divide the numerator (1) by the denominator (30). This can be done using a calculator or by manual division.
1 ÷ 30 = 0.03333... (repeating)
So, 1/30 as a decimal is approximately 0.033 when rounded to three decimal places.
Here are the steps to understand it better:
Set up the division: 1 divided by 30.Perform the division: 1.000... ÷ 30 = 0.03333... (the 3s repeat indefinitely).Round the result if needed for simplification.help me plz
The measure of an angle formed by ____________ is half the sum of the measures of the intercepted arcs.
A. intersecting radii
B. intersecting chords
C. a chord and a radius
Answer: B. intersecting chords
Step-by-step explanation:
The intercepted arc is the arc which is inside the inscribed angle and whose endpoints are on the angle.When two chords intersect then inscribed angles are formed.
We know that the inscribed angle theorem tells that the measure of an inscribed angle is half the measure of its intercepted arc.
The measure of an angle formed by intersecting chords is half the sum of the measures of the intercepted arcs.
Shannon has a recipe for fruit punch that makes 12 quarts of punch. how many 3/4 quart servings will the recipe make
34 - 2(x + 17) = 23x - 15 - 3x what is x.
solve the exponential equation 9^8x = 27
Answer:
[tex]x=\frac{3}{16}[/tex]
Step-by-step explanation:
Given : Exponential function [tex]9^{8x}=27[/tex]
We have to solve the given exponential equation.
Consider the given exponential function [tex]9^{8x}=27[/tex]
[tex]\mathrm{Convert\:}9^{8x}\mathrm{\:to\:base\:}3[/tex]
[tex]9^{8x}=\left(3^2\right)^{8x}[/tex]
Function becomes,
[tex]\left(3^2\right)^{8x}=27[/tex]
Convert 27 to base 3, we have,
[tex]\left(3^2\right)^{8x}=3^3[/tex]
Apply exponent rule, [tex]\left(a^b\right)^c=a^{bc}[/tex]
We have, [tex]3^{2\cdot \:8x}=3^3[/tex]
[tex]\mathrm{If\:}a^{f\left(x\right)}=a^{g\left(x\right)}\mathrm{,\:then\:}f\left(x\right)=g\left(x\right)[/tex]
We have,
[tex]2\cdot \:8x=3[/tex]
Simplify, we have,
[tex]16x=3[/tex]
Thus, [tex]x=\frac{3}{16}[/tex]
Solve this equation
p+2=-6
Solve the equation?
13 +w/7 = –18 ...?
The solution of the equation [tex]13+\frac{w}{7}=-18[/tex] is [tex]\boxed{w=-217}[/tex].
Further explanation:
Given:
The equation is [tex]13+\frac{w}{7}=-18[/tex].
Calculation:
Method (1)
The given equation is as follows:
[tex]\boxed{13+\dfrac{w}{7}=-18}[/tex]
The above equation is a linear equation that has one degree.
The equation with one variable can be solved by moving all terms in to the one side and simplify the equation for the value of variable.
Subtract [tex]13[/tex] on both sides in the equation (1) to obtain the value of [tex]w[/tex] as follows,
[tex]\begin{aligned}13+\dfrac{w}{7}-13&=-18-13\\13-13+\dfrac{w}{7}&=-31\\ \dfrac{w}{7}&=-31\end{aligned}[/tex]
Now, multiply [tex]7[/tex] on both sides of the above equation as,
[tex]\begin{aligned}7\times \dfrac{w}{7}&=-31\times7\\w&=-217\end{aligned}[/tex]
Therefore, the value of [tex]w[/tex] is [tex]-217[/tex].
Method (2)
To obtain the solution of the equation (1), take least common multiple of the denominator of the left hand side of the equation as,
[tex]\begin{aligned}13+\dfrac{w}{7}&=-18\\ \dfrac{(13\times7)+w}{7}&=-18\\ \dfrac{91+w}{7}&=-18\end{aligned}[/tex]
Now, multiply by [tex]7[/tex] on both sides of the above equation to obtain the value of [tex]w[/tex] as follows,
[tex]\begin{aligned}7\times\left(\dfrac{91+w}{7}\right)&=7\times(-18)\\91+w&=-126\end{aligned}[/tex]
Subtract [tex]91[/tex] on both sides of the above equation as follows,
[tex]\begin{aligned}91+w-91&=-126-91\\w&=-217\end{aligned}[/tex]
Therefore, the value of [tex]w[/tex] is [tex]-217[/tex].
Thus, the solution of the equation [tex]13+\dfrac{w}{7}=-18[/tex] is [tex]\boxed{w=-217}[/tex].
Learn more:
1. Learn more about equations https://brainly.com/question/1473992
2. A problem on line https://brainly.com/question/1575090
3. A problem on function https://brainly.com/question/1435353
Answer details:
Grade: Middle school
Subject: Mathematics
Chapter: Linear equations
Keywords: Equation, 13+(w/7)=-18, variables, subtract, linear equations, one degree, multiply least common multiple, linear equation, mathematics.
What are the x- and y- intercepts for the line y−3=3(x+5)
Enter your answers in the boxes. please help me
Elena has 12 pieces of banana bread. She gives an equal amount of banana bread to five friends. How many pieces of banana bread does she give each friend?
Answer:
[tex]2 \frac{2}{5}[/tex]
Step-by-step explanation:
Try dividing 12 and 5. What a surprise it doesn't work. 5×2=10. 12÷5=10 r2. r2=[tex]\frac{2}{5}[/tex]. 2+[tex]\frac{2}{5}[/tex]=[tex]2 \frac{2}{5}[/tex].
ln 1/sqrt e = -1/2 write in exponential form pls show steps ln 1/sqrt e = -1/2 write in exponential form pls show steps
Identify the lateral area and surface area of a regular triangular pyramid with base edge length 14 cm and slant height 15 cm.
I already have the lateral area figured out (315), I don't understand how to get the surface area. XP I always get it wrong.
Answer:
315 cm<2 399.9 cm<2
Step-by-step explanation:
Answer:
L = 315 cm2 ; S = 399.9 cm2
Step-by-step explanation:
Lucky guess on my quiz!
Discuss the continuity of the cosine, cosecant, secant and cotangent functions,
...?
Final answer:
The cosine, cosecant, secant, and cotangent functions are all trigonometric functions. They are continuous everywhere except where the denominator is zero.
Explanation:
The cosine, cosecant, secant, and cotangent functions are all trigonometric functions. These functions are defined for all real numbers except when the denominator becomes zero. Therefore, they are continuous everywhere except where the denominator is zero.
For example, the cosine function, denoted as cos(x), is continuous for all real numbers. It has a periodic nature and oscillates between -1 and 1.
Similarly, the cosecant function, denoted as csc(x), is continuous everywhere except at the points where sin(x) is equal to zero. The secant function, denoted as sec(x), is continuous everywhere except at the points where cos(x) is equal to zero. The cotangent function, denoted as cot(x), is continuous everywhere except at the points where tan(x) is equal to zero.
The border line of the linear inequality 4x-2y<1 is solid.
true or false?
TRUE or FALSE. If chord AB Is 3 inches from the center and chord CD is 5 inches from the center of the same circle, then chord CD is the longer chord.
Answer:
False.
Step-by-step explanation:
Given,
Chord AB Is 3 inches from the center and chord CD is 5 inches from the center of the same circle,
Since, the distance of a chord is inversely proportional to the length of the chord,
That is, the chord that has the smallest distance from the center is largest.
3 < 5
⇒ The distance of chord AB from center < The distance of Chord CD from center
By the above statement,
⇒ The length of chord AB > The length of chord CD.
Hence, the given statement is FALSE.
How to solve -13=5(1 4m)-2m?
In the situation, simple interest is calculated yearly. How much interest was earned?
Principal: $12,000; Time: 3 years; Interest rate: 15%; Interest: ?
A$1800
B$5400
C$12,000
D$17,400
E$36,000
The sum of two numbers is 66 and the difference is 12 . What are the numbers?