Answer:
$840 interest
Step-by-step explanation:
4% of 1000 is 40
40•21= 840
If you are adding the interest rate and the $1000 together then you get $1840
Hope this helps
Find (f/g)(x). f(x)=/x^2-1 g(x)=/x-1
Answer:
[tex](\frac{f}{g})(x) = \sqrt{x + 1}[/tex]
Step-by-step explanation:
Given
[tex]f(x) = \sqrt{x^2 - 1[/tex]
[tex]g(x) =\sqrt{x - 1[/tex]
Required
Find [tex](\frac{f}{g})(x)[/tex]
[tex](\frac{f}{g})(x)[/tex] is calculated as:
[tex](\frac{f}{g})(x) = \frac{f(x)}{g(x)}[/tex]
This gives:
[tex](\frac{f}{g})(x) = \frac{\sqrt{x^2 - 1}}{\sqrt{x - 1}}[/tex]
Apply difference of two squares on the numerator
[tex](\frac{f}{g})(x) = \frac{\sqrt{x - 1}*\sqrt{x + 1}}{\sqrt{x - 1}}[/tex]
[tex](\frac{f}{g})(x) = \sqrt{x + 1}[/tex]
If f(x)=2(x)^2+5square root (5+2) complete the following statement f(2)= blank
The complete statement is f(2) = 8+5√7
What are functions?Function, in mathematics, is an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
Given here f(x)=2x²+5√7
Thus f(1) = 2×4+5√7
= 8+5√7
Hence, The complete statement is f(2) = 8+5√7
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In ADEF, the measure of ZF=90°, DF = 40, ED = 41, and FE = 9. What ratio
represents the secant of ZE?
E
41
9
D
40
Answer:
sec(∠F) = [tex]\frac{41}{9}[/tex]
Step-by-step explanation:
In triangle EFD,
m∠F = 90°
Adjacent side of ∠E = EF = 9 units
Opposite side of ∠E = DF = 40 units
Hypotenuse = DE = 41 units
For secant of ∠E ,
sec(∠E) = [tex]\frac{\text{Hypotenuse}}{\text{Adjacent side}}[/tex]
= [tex]\frac{41}{9}[/tex]
Therefore, [tex]\frac{41}{9}[/tex] is the ratio of secant of ∠F.
Solve the following inequality algebraically: 1<3x-2<4
Answer:
1<x<2
Step-by-step explanation:
Let's solve your inequality step-by-step.
1<3x−2<4
1+2<3x−2+2<4+2 (Add 2 to all parts)
3<3x<6
3/3<3x/3<6/3 (Divide all parts by 3)
1<x<2
Answer:
1<x<2
i am a 5 digit number,my ones place digit is of no use as i, i still remain same without it . my ten's and hundreds place digits are mirror images. my thousand place digit are half of 2nd, my 10thousand digit is 3 more than my ones place , who am i ?
Answer:
The 5 digit number is 34880
Step-by-step explanation:
Let the five digit number be represented by "abcde".
We are told that 1 place digit number is of no use and the 5 digit number will remain the same without it.
This means that e = 0
The tens and hundreds digit are d and c respectively. We are told that they are mirror images of each other.
Thus, d = c = 8. Since 8 is the only number from 1 to 10 that can be mirrored and still remain a usable number.
The thousand digit is Half of the second digit.
Thus, b = ½d
b = 8/2
b = 4
We are told the 10thousand digit is 3 more than my ones place. Thus;
a = e + 3
a = 0 + 3
a = 3
We have seen that;
a = 3
b = 4
c = 8
d = 8
e = 0
Thus,the 5 digit number is 34880
10.) 1 and 2 in this diagram are___
a. Complementary
b. Supplementary
c. Congruent
d. Vertical angle
Answer:
A
Step-by-step explanation:
they are complementary, they add to 90
What are the zeros of the function g(x) = (x + 6) (x – 4)(x + 2) ?
9514 1404 393
Answer:
x in {-6, -2, 4}
Step-by-step explanation:
The zero product rule tells you that a product will be zero if and only if one of the factors is zero. These binomial factors are zero when x has a value that is opposite the constant of the binomial.
x +6 = 0 ⇒ x = -6
x -4 = 0 ⇒ x = 4
x +2 = 0 ⇒ x = -2
The zeros of the function are the x-values -6, -2, and 4.
© Express the ratio below in its simplest form.
2.5 : 3.5
Answer:
5:7
Step-by-step explanation:
Plz help me well mark brainliest if correct!!
Answer:
C
Step-by-step explanation:
There is no class at 8:30 at studio B
x -3y = -5
-x +3y = 0
9514 1404 393
Answer:
no solution
Step-by-step explanation:
The equations are inconsistent. They have NO SOLUTION.
__
Add the two equations and you get ...
0 = -5 . . . . . . False
No values of the variables will make this be true.
Solve for x:
please help me
Answer:
88 is the correct answer.
please mark brainliest
Answer:
88
Step-by-step explanation:
since a straight line is 180
180-92=88
Can y’all help me on question 21?!
Answer:
24
Step-by-step explanation:
96 divided by 4 = 24
Help me again pleaseeeeeeeeee
Answer:
0.2 recurring I the same as 2/9
Step-by-step explanation:
x=0.2222
10x=2.2222
10x-x=9x
9x=2
divide both sides by 9
9x÷9=x
2÷9=2/9
Hope it helps:)
how many numbers did bill wrote if he wrote all the natural numbers between w and v not including w and v
Answer:
v - w - 1
Step-by-step explanation:
Try an experiment with a small, specific set of numbers like:
4, 5, 6, 7, 8, 9, 10 w = 4 and v = 10.
There are 5 numbers in the list, not counting the first and last. Is this related to the difference between v and w? v - w = 6, one more than 5.
The number of natural numbers between w and v, not including w and v, is v - w - 1.
A flowerpot has a diameter of 15 centimeters. Which expression can be used to find its circumference, C , in centimeters?
DO NOT ANSWER IF YOU DO NOT KNOW THE ANSWER! Whoever answers correctly will get Brainliest! :)
Answer:
C.
Step-by-step explanation:
A flowerpot is basically a circle, so you are looking for the circumference of a circle.
Formula: 2 x π x Radius
Please help me solve
[tex]~\hspace{7em}\textit{negative exponents} \\\\ a^{-n} \implies \cfrac{1}{a^n} ~\hspace{4.5em} a^n\implies \cfrac{1}{a^{-n}} ~\hspace{4.5em} \cfrac{a^n}{a^m}\implies a^na^{-m}\implies a^{n-m} \\\\[-0.35em] ~\dotfill[/tex]
[tex](-6x^3 y^5 + 11x^3 y^2) \div (-2x^2 y^3)\implies \cfrac{-6x^3 y^5 + 11x^3 y^2}{-2x^2 y^3} \\\\\\ \cfrac{-6x^3 y^5}{-2x^2 y^3}+\cfrac{11x^3 y^2}{-2x^2 y^3}\implies \cfrac{-6}{-2}\cdot \cfrac{x^3 y^5}{x^2 y^3}+\cfrac{11}{-2}\cdot \cfrac{x^3 y^2}{x^2 y^3} \\\\\\ 3\cdot x^3 x^{-2}y^5 y^{-3}+\cfrac{11}{-2}\cdot \cfrac{x^3 x^{-2}}{y^3 y^{-2}}\implies 3x^{3-2}y^{5-3}-\cfrac{11}{2}\cdot \cfrac{x^{3-2}}{y^{3-2}} \\\\\\ ~\hfill {\Large \begin{array}{llll} 3x y^2 -\cfrac{11x}{2y} \end{array}}~\hfill[/tex]
Please help me with this will mark brainlist
Answer:
[tex]\frac{x}{3} +5[/tex]
Step-by-step explanation:
5 more than means "+ 5"
quotient means fraction so x is the numerator and 3 is the denominator
[tex]\frac{x}{3} +5[/tex]
Which of the following is equivalent to 5/20 ? *
Mark only one oval.
2/10
10/30
5/10
1/4
A 200-foot cable weighing 800 pounds is hanging from a winch 200 feet above ground level.
(a) How much per foot does this cable weigh? if a piece of this cable is A.x long, what is the weigh of this piece?
(b) Find the work (in ft-lb) done in winding up the cable when there is a 400- pound load attached to the end of the cable.
Answer:
4 pd / ft
140000 ft/pd
Step-by-step explanation:
Total Weight of cable = 800 pounds
Length of cable = 200 feets
Weight per foot = Total weight / length = 800 / 200 = 4 pounds per foot
Weight of piece will be :
Weight of cable - weight per foot * x
800 - 4x
Workdone with 300 pound load attached :
∫f(x)
f(x) = (800+300 - 4x) = 1100 - 4x
∫1100 - 4xdx at 200 to 0
Integrating the above
1100x - 4/2x² at x = 200 to 0
1100x - 2x²
1100(200) - 2(200²) - 1100(0) + 2(0^²))
(220000-80000) - 0 + 0
140000 ft/pd
A rectangular prism has the dimensions shown. What is the total area of the prism?
170 cm 2
270 cm 2
310 cm 2
120 cm 2
Answer:
310 cm 2
Step-by-step explanation:
Which expression is equivalent to 10 ?
0 x²(√²)
Ox2.2
O
**(√)
5
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The expression 10+(-8) is equivalent to 10 - 8.
What is expression?Different branches of mathematics exist. The branch of knowledge that deals with numbers and operations is arithmetic. We learned how to add, subtract, multiply, and divide two or more numbers through arithmetic.
Shapes and how they are created with various tools, such as a compass, ruler, and pencil, are the focus of geometry. Another fascinating area of study is algebra, which helps us communicate the numerical and alphabetic aspects of daily life (variables).
Any mathematical statement made up of numbers, variables, and an operation between them is called an expression or an algebraic expression. As an illustration, the expression 4m + 5 consists of the terms 4m and 5, as well as the variable m, all of which are separated from one another by the arithmetic sign +.
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Full question
What expression is equivalent to 10-8?
Tina paid for6 hours of canoeing and 1 life jacket rental with two twenty dollar bills. How much change did Tina get back
The amount of change that Tina got back would be = $10
How to calculate Tina's change after the bills payment?The amount of hours Tina spent in canoeing = 6 hours
The amount paid per hour for canoeing = $4
Therefore the total amount spent on canoeing = 6×4 = $24
The cost of the life jacket = $6
Therefore the total amount Tina spent = total amount spent on canoeing + cost of the life jacket.
That is; 24+6 = $30
The change Tina will receive from the two twenty dollars bills = (2×20) - 30
= 40-30 = $10
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Mrs. Dern's class is preparing to write reports on the United States. Students must draw from a box the state that they will be assigned to. When it is Jake's turn to draw, there are three western states, one southern state, five midwestern states, and some eastern states remaining in the box. If the probability of drawing an eastern state is 1/2, how many eastern states are in the box?
Answer:
9
Step-by-step explanation:
Add all the states provided which is 9 since it said 1/2 chance answer is 9
Which of the following is not one term? -x^4, 38, 4y/5, -2-x
Answer:
the correct answer is-2-x
Please help, I will mark you brainiest!
Answer:
20
Step-by-step explanation:
The line measures a total of 180°
So make an equation where all of the angles added together = 180
100 + 3x + x = 180
Then solve for x.
First, combine like terms.
100 + 4x = 180
Subtract 100 from both sides
4x = 80
Divide both sides by 4 to isolate x
x = 20
Solve for x.
7x + 9
9x - 19
= X
Answer:
14
Step-by-step explanation:
7x+9= 9x-19
-2x= -28
x= 14
they are corresponding angles
Answer:
x = 14
Step-by-step explanation:
the angles are corresponding.
corresponding angles theorem states that when two parallel lines are cut by a transversal , the resulting corresponding angles are congruent.
therefore:
7x + 9 = 9x -19
9 = 2x - 19
28 = 2x
14 = x
The vertices of ABC are A(-3,5), B(-2,3), and C(-5,3). If ABC is reflected across the y-axis to produce the image A'B'C', find the coordinate of the vertex C'.
Answer:
[tex]C' =(5,3)[/tex]
Step-by-step explanation:
Given
[tex]A = (-3,5)[/tex]
[tex]B = (-2,3)[/tex]
[tex]C = (-5,3)[/tex]
Reflection across y-axis
Required
Find C'
For reflection across y-axis, the rule is:
[tex](x,y) \to (-x,y)[/tex]
So, the image of C is:
[tex](-5,3) \to (-(-5),3)[/tex]
[tex](-5,3) \to (5,3)[/tex]
Hence:
[tex]C' =(5,3)[/tex]
Combine the like term to create an equivalent expression:
-k - (-8k)
Answer:
7k
Step-by-step explanation:
Tara is considering choosing either anthropology or economics as her college major, and she's wondering how
her SAT scores compare to those of her peers in either major. Tara finds some data on the SAT scores of
anthropology and economics majors at her school. The data is shown in the 2 plots below.
For
majors, the mean SAT score is greater than the median.
The
majors have a greater median SAT score.
Answer:
for (anthropology) majors, the standard deviation is an approximate measure of spread
The (economics) majors, have a greater standard deviation in SAT scores
A data set that is normally distributed has a mean of 128 and standard deviation of 6.2. What is the Z-score,
rounded to the nearest hundredth, for a data value of 143
Answer:
2.42Step-by-step explanation:
Given:
μ = 128σ = 6.2x = 143Z-score is:
z = (x - μ)/σ = (143 - 128)/6.2 ≈ 2.42 (rounded to the nearest hundredth)