positive 3.9
negative is the opposite of positive
positive it the opposite of negative
y
∝
1
√
x
If
y
=
7
when
x
=
64
find,
x
when
y
=
8
Answer:
x = 49
Step-by-step explanation:
This is an inverse relationship and it implies that, an increase in the value of one variable results in a subsequent decrease in the value of another variable.
Given the mathematical expression and data;
y = 1/√x
y = 7 and x = 64
First of all, we would find the constant of proportionality, k;
y = k/√x
7 = k/√64
7 = k/8
k = 7 * 8
Constant, k = 56
Now, to find the value of x when y = 8
y = k/√x
Substituting the values, we have;
8 = 56/√x
Cross-multiplying, we have;
8 * √x = 56
√x = 56/8
√x = 7
Taking the square of both sides, we have;
(√x)² = 7²
x = 49
Write the quadratic equation whose roots are -3 and 4 and whose leading coefficient is 4
Answer:
[tex]4x^2 -4x - 48 = 0[/tex]
Step-by-step explanation:
Given
[tex]x= -3 \ or\ 4[/tex] -- roots
[tex]n= 4[/tex] --- leading coefficient
Required
Calculate the quadratic equation
[tex]x= -3 \ or\ 4[/tex]
Split to 2:
[tex]x = -3\ or\ x = 4[/tex]
Equate both to 0
[tex]x +3 = 0\ or\ x - 4= 0[/tex]
Multiply both together:
[tex](x + 3) * (x - 4) = 0 * 0[/tex]
[tex](x + 3) * (x - 4) = 0[/tex]
[tex]x^2 -4x +3x - 12 = 0[/tex]
[tex]x^2 -x - 12 = 0[/tex]
Multiply both sides by the leading coefficient, n
[tex]n * [x^2 -x - 12] = 0 * n[/tex]
[tex]4 * [x^2 -x - 12] = 0 * 4[/tex]
[tex]4 * [x^2 -x - 12] = 0[/tex]
Open brackets
[tex]4x^2 -4x - 48 = 0[/tex]
Find the area of sector with a radius of 4 and a central angle of 30 degrees.
Answer:
Step-by-step explanation:
[angle of sector]/360 x π x radius ² [formula to find area of a sector]
30/360 x π x 4²
Type into a calculator
4.18879
HELP WITH MATH!!!!!!!!
Answer:
28 units sqr
Step-by-step explanation:
Area of Rectangle
A= Lw = 8(4) = 32
Area of Triangle
A= [tex]\frac{b(h)}{2}[/tex] = [tex]\frac{2(4)}{2}[/tex] = 4
32- 4 = 28 units sqr
Joyce determines that 30% of her monthly income goes for rent. If her monthly income is $2,009, about how much is her monthly rent? How much is her yearly rent?
Answer:
$ 602.7
Step-by-step explanation:
2009$ x 30% = 602.7
Which of these choices is a solution to the equation (x + 4)(x - 3) = -10?
a) 4
b) 3
C) -2
d) -1
The solution of the given equation (x + 4)(x - 3) = -10 is -2.
Thus, option C is correct.
Two algebraic expressions separated by an equal symbol in between them and with the same value of the expression are called equations.
Example = 2x +4 = 12
Here, 4 and 12 are constants and x is variable
Given equation:
Multiply the brackets,
(x + 4)(x - 3) = -10
[tex]x^2-3x+4x-12 = -10[/tex]
x^2 +x -12+10 =0
x^2 +x -2=0
x(x+2)-1(x+2)=0
(x+2)(x-1)=0
x= -2, x=1
Thus, option C is correct.
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Enter an equation in the form y=mx+b that represents the function described by the graph
Answer:
First off the picture is upside down, second of why cant people take a straight picture, ps sorry my adhd, y=m4+8
Step-by-step explanation:
Find the difference when
the product of 90 and 8 is
subtracted from 1260.
how to apply for teacher job?
Answer:
G oogle it, you will get different answers.
Step-by-step explanation:
To gain employment as a teacher, at least a bachelor’s degree is required. Some teachers choose to major in the subject area they plan to teach, such as English, history, or biology, but it is generally not a requirement to do so. In many states, including California, Massachusetts, and Pennsylvania, a master’s degree is also required in order to obtain a teaching certificate. For any state you teach in, a certificate or license specific to that state is required. The certificate is typically given after prospective teachers pass a state-specific teaching exam. Some states also require that teachers have some supervised experienced teaching, or that they have completed a teacher preparation program.
Skills for teachers
Teachers should be comfortable with speaking in front of people, and should have strong communication skills. Organization is also an important skill for teachers, as creating lesson plans, grading and handing back assignments, and keeping students on track for state exams all require attention to detail and the ability to stay organized. It is also important for teachers to have the ability to stay calm in chaotic situations and to mediate between young students. Answer:
you
Step-by-step explanation:
Graph two lines whose solution is (3,5).
Line
Equation
#1
I
|
#2
Check My Answer
8
Graph two lines whose solution is (1,4)
Answer:
la respuesta que buscas es bastante simple pero no lo sé
Step-by-step explanation:
Each year, the number of students taught by Mr. Wright increases by 2. The first year, he taught 18 students. The total number of students taught after 25 years can be represented using the expression . How many students has Mr. Wright taught in 25 years?
Answer: 452 students
25 x 18 = 450 + 2= 452
Answer:
C
Step-by-step explanation:
Correct on edge 2020
A farmer recently purchased his
neighbor's farm. Before the purchase, the farmer owned a total of 365
acres of land. After the purchase, he
owned a total of 521
acres of land. Determine the percent increase in the number of acres of land owned by the farmer.
The number of acres of land owned by the farmer increased by about nothing
%. round to one decimal place as needed
thank you
Answer:
la respuesta que buscas es bastante simple pero no lo sé
Step-by-step explanation:
In ΔUVW, the measure of ∠W=90°, the measure of ∠U=50°, and WU = 27 feet. Find the length of VW to the nearest tenth of a foot. HELPPP
Answer:
32.2 feet
Step-by-step explanation:
Answer:
32.2
Step-by-step explanation:
PLEASE HELP!!!!!!!!!!!!!!!!!!!!!!!!!
Answer: x=55
Step-by-step explanation:
90-35=55
You get the 90 from the right angle.
Pls helpppppppp !! ಠ_ಠ
Answer:
226.80
Step-by-step explanation:
Answer:
$226.8
Step-by-step explanation:
you take 210 and times it by 8%
210 x 8%(.08)= 16.8
then add that 16.8 back to the 210
210+16.8= 226.8
Clyde bought a belt for $25 at a tax rate of 5%. He also bought a shirt $14 at a tax rate at 5%. What is the sum, in dollars, that he will pay including tax?
Answer:
40.95
Step-by-step explanation:
First, calculate the tax rate for the belt.
$25 is 1/4 of 100. 5% of 100 is 5, so the tax for 25 is 1/4 of 5, or 1.25.
Next, calculate the tax for the shirt. 14*0.05=0.7
Add everything together.
14+25+0.7+1.25=40.95
Four customers at a restaurant had the same bill. Each customers gave the server a tip that was a different percentage of the amount due. Which customers tipped 15% or more? Click on the bills you want to select.
Answer:
.....................
Step-by-step explanation:
Select all the expresions that represent the large retangle total area 5 b 3
Answer:B, C and D are all correct
Step-by-step explanation:
Because, A. 3 (5 + b)
B. 5 (b + 3)
C. 5b + 15
D. 15 + 5b
E. 3 ⋅ 5 + 3b
what are the solution to the system of equations graphed below?
Answer: the answer is A
Step-by-step explanation:
u need to look where the lines intercept and im doing this in my math class now so my teacher said wherever the lines intercept u need to take the points where they intercept at so for this one it would be (4,8) and the other is (0,-8)
need help geometry question central angles and arcs pls???
Answer:
75°,
mUV = 105°, the other 2 are both 75°. This means mTU = 75°
Qual é o tipo desta expressão algebrica? [tex]7x^{3}[/tex]
Responder:
Expressão monomial de terceiro grau
Explicação passo a passo:
O número de expressões de um termo algébrico. Contém é usado para nomeá-los em:
Monomial = 1 termo.
Binomial = 2 termos
Trinomial e assim por diante; A expressão fornecida acima contém apenas um único termo '7x³', portanto, é uma expressão monomial. A maior potência em que a variável na equação quadrática é elevada é chamada de potência;
A expressão acima é elevada à potência 3. Portanto, a equação quadrática é um monômio elevado à potência 3.
Portanto, é um monômio de terceiro grau.
Find the area of the larger circle.
Answer:
65.94
Step-by-step explanation:
2 + 3 = 5
r = 5
Small circle:
r = 2
A = πr²
A=(3.14)2²
A = 12.56
Large circle:
r = 5
A = πr²
A=(3.14)5²
A = 78.5
78.5 - 12.56 = 65.94
You see a hiker sitting on a bench taking a water break at the top of a hill at a 40° angle of elevation. Your eye level is 5 feet off the ground and you are standing 100 feet from the base of the hillAt what altitude is the hiker sitting on the bench?
Answer:
89
Step-by-step explanation:
Draw a right triangle, put the angle of elevation as 40 degrees and the feet for the base of your triangle (standing 100 feet from the base of the hill) as 100ft. According to SOH CAH TOA, we will be using tan, where you will get:
tan(40)=x/100
x=100tan(40)=83.9
Add 5 feet, which was your eyes off the ground, and it will be 83.9+5=89
Final Answer: 89
The altitude of the hiker sitting on the bench of the hill is 89 feet.
What is trigonometry?Trigonometry is mainly concerned with specific functions of angles and their application to calculations. Trigonometry deals with the study of the relationship between the sides of a triangle (right-angled triangle) and its angles.
For the given situation,
The angle of elevation = 40°
Distance from base of the hill = 100 feet
Distance from the ground to the eye level = 5 feet
The diagram below shows the right angled triangle.
Let the altitude from the eye sight to the bench be x.
Total altitude = x + 5
The altitude of the hiker can be found by using trigonometric ratio,
[tex]tan\theta= \frac{opposite}{adjacent}[/tex]
⇒ [tex]tan 40=\frac{x}{100}[/tex]
⇒ [tex]0.8390=\frac{x}{100}[/tex]
⇒ [tex]x=83.90[/tex]
Total height = [tex]x+5[/tex]
⇒ [tex]83.90+5[/tex]
⇒ [tex]88.90[/tex] ≈ [tex]89[/tex]
Hence we can conclude that the altitude of the hiker sitting on the bench of the hill is 89 feet.
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Which graph represents the inequality x greater-than 6?
A number line going from 1 to 11. A closed circle is at 6. Everything to the left of the line is shaded.
A number line going from 1 to 11. An open circle is at 6. Everything to the left of the line is shaded.
A number line going from 1 to 11. A closed circle is at 6. Everything to the right of the line is shaded.
A number line going from 1 to 11. An open circle is at 6. Everything to the right of the line is shaded.
Answer:
C
Step-by-step explanation:
Because it isn't a negative number so it should have a closed circle with a line going to 11 and on. Hoped this helped. ;)
Answer:
C
Step-by-step explanation:
HELP PLEASE DUE IN 4 MINUTES
Which of the following formulas shows how to calculate the ending balance of an account with a beginning balance of $600 that earns 3.5% compound interest over 8 years?
Answer:
[tex]A(t) = 600(1.035)^8[/tex]
The ending balance is of $790.1.
Step-by-step explanation:
Compound interest:
The amount of money earned after t years, in compound interest, is given by:
[tex]A(t) = A(0)(1+r)^{t}[/tex]
In which A(0) is the initial amount of money and r is the interest rate, as a decimal.
$600 that earns 3.5% compound interest over 8 years
This means, respectively, that:
[tex]A(0) = 600, r = 0.035, t = 8[/tex]
So, the formula is:
[tex]A(t) = A(0)(1+r)^{t}[/tex]
[tex]A(t) = 600(1+0.035)^{8}[/tex]
[tex]A(t) = 600(1.035)^8[/tex]
Ending balance:
The ending balance is:
[tex]A(t) = 600(1.035)^8 = 790.1[/tex]
The ending balance is of $790.1.
What is the inverse function
Answer:
it's simple just divide
Rewrite 10(a - b + 4) using the distributive property.
Answer:
10
Solve for x.
8(x + 1) - 3(x + 4) = 7(2 - x)
A x=-12
B X=-11
C x=14
D x=13
Answer:
x = 1.5
Step-by-step explanation:
8x + 8 - 3x - 12 = 14 - 7x
5x - 4 = 14 - 7x
-4 = 14 - 12x
-18 = -12x
x = 18/12 or 3/2
What is the measure of each interior angle of Regular Polygon?
Answer:
A regular polygon is a flat shape whose sides are all equal and whose angles are all equal. The formula for finding the sum of the measure of the interior angles is (n - 2) * 180. To find the measure of one interior angle, we take that formula and divide by the number of sides n: (n - 2) * 180 / n.
Step-by-step explanation:
140
∘
Each interior angle of regular polygon of n sides is given by
n
180(n−2)
degree
∴ each interior angle =
9
180(9−2)
degree
=20×7
=140