D. The rental cost in dollars, for each paddleboard.
Explanation:
You were in the right track with linking 40 to the paddleboards.
But remember that t represent the total cost and not the total number of paddleboards and kayak, and also since p represent the number of paddleboards (while k represent the number of kayak)
To find t, you need to sum the cost of all the kayaks and the sum of all the paddleboards.
=> t = 25k + 40p
with 25k = total cost of all the kayaks
and
with 40p = total cost of all the paddleboards => in others words the total number of paddleboards (p) * the cost of each paddleboards (40)
What’s the scale factor?What’s the value of x? Show your work
Given the original triangle and the scale triangle, you can determine that they are similar.
• Therefore, you can find the scale factor by dividing the lengths of the corresponding sides given in the exercise:
[tex]\begin{gathered} sf=\frac{42\operatorname{cm}}{7cm} \\ \\ sf=6 \end{gathered}[/tex]• In order to find the value of "x", you need to multiply the corresponding side (whose length is 3 centimeters) by the scale factor:
[tex]\begin{gathered} x=(3\operatorname{cm})(6) \\ \\ x=18\operatorname{cm} \end{gathered}[/tex]Hence, the answers are:
- Scale factor:
[tex]sf=6[/tex]- Value of "x":
[tex]x=18\operatorname{cm}[/tex]evaluate: 4163 divided by 38
Steps: We select the part of the dividend that is divisible by the divisor. Then we find the result of this division, then we subtract the result of that product by the part of the dividend we selected prior by the result of the product. Then we select the next number on the dividend and try to divide it with the divisor, if we can't we add a 0 to the result and add one more number from the dividend. When there are no more numbers on the dividend to add, we add a 0 and a dot on the result.
use the equation and type the ordered-pairs.y=3^x[(-1,_),(0,_),(1,_),(2,_),(3,_),(4,_)]
Given the equation :
[tex]y=3^x[/tex]we need to complete the order pairs :
[(-1,_),(0,_),(1,_),(2,_),(3,_),(4,_)]
So, for each value of x, we will find the corresponding value of y
[tex]\begin{gathered} x=-1\rightarrow y=3^{-1}=\frac{1}{3} \\ \\ x=0\rightarrow y=3^0=1 \\ \\ x=1\rightarrow y=3^1=3 \\ \\ x=2\rightarrow y=3^2=9 \\ \\ x=3\rightarrow y=3^3=27 \\ \\ x=4\rightarrow y=3^4=81 \end{gathered}[/tex]So, the answer is : the order pairs will be :
[tex](-1,\frac{1}{3}),(0,1),(1,3),(2,9),(3,27),(4,81)[/tex]4x-1=3y+5 it says find the slope
Solution
We have the following equation given:
4x -1 = 3y +5
We can rewrite the expression on this way:
3y = 4x -1-5
3y = 4x -6
Then we can divide both sides of the equation by 3 and we got:
y = 4/3x -2
Then the slope would be:
m= 4/3
What is the value of y in the equation 2(2y − 16) = 0? (5 points)4689
Given the following equation,
[tex]\text{ 2\lparen2y - 16\rparen = 0}[/tex]Let's determine the value of y.
[tex]\text{ 2\lparen2y - 16\rparen = 0}[/tex][tex]\text{ }\frac{2(2y\text{ - 16\rparen}}{2}\text{ = 2}[/tex][tex]\text{ 2y - 16 = 0}[/tex][tex]\text{ 2y = 16}[/tex][tex]\text{ }\frac{2y}{2}\text{ = }\frac{16}{2}[/tex][tex]\text{ y = 8}[/tex]Therefore, y = 8
The answer is 8.
PLEASE HELP 15 POINTS I'M GIVING BRAINLIEST
Answer:
below
Step-by-step explanation:
In a RIGHT triangle such as this, cos = adjacent leg / hypotenuse
cos (beta) = 22/24 = 11/12
Which relation is a function?
Answer:
The left upper one is a function
Step-by-step explanation:
If you draw a straight vertically and the line goes through two point then its not a function. Just look what makes a function or answer again if you are confused.
The relation which is a function is f ( x ) = x³
What is a function rule?The function rule is the relationship between the input or domain and the output or range. A relation is a function if and only if there exists one value in the range for every domain value.
A function is a relation from a set of inputs to a set of possible outputs where each input is related to exactly one output.
Given data ,
Let the function be represented as f ( x )
Now , the value of f ( x ) is
y = x³ be equation (1)
Now , relation is a function if and only if there exists one value in the range for every domain value.
So , when x = { 1 , 2 , 3 , 4 }
The values of y are = { 1 , 8 , 27 , 64 }
Hence , the function is y = x³ and the graph is plotted
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At the rodeo, the bronco riding event takes place in a large dirt ring which has a diameter of 14 yards. What is the ring's radius?
The ring's radius is 7 yards.
Diameter = 14 yd.
The diameter can be defined as:
It is the length of the line passing through the center that touches two points on the edge of the circle.
Also, diameter is double of the radius
That is:
Diameter = 2 times the radius
Diameter = 2 × radius
Let the radius be r
14 = 2 × r
2 r = 14
Divide both the sides by 2:
2 r / 2 = 14 / 2
r = 7 yards.
Therefore, we get that, the radius of the ring will be 7 yards.
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Which of the following is a solution to the quadratic equation below?x²-3x-54-0A. 9B. -57C. 2D. 27
A. 9
Explanationto solve for x we can use the quadratic formula
it says
[tex]\begin{gathered} for \\ ax^2+bc+c=0 \\ the\text{ solution for x is} \\ x=\frac{-b\pm\sqrt{b^2-4ac}}{2a} \end{gathered}[/tex]hence
Step 1
a) let
[tex]\begin{gathered} x^2-3x-54=0\Rightarrow ax^2+bx+c=0 \\ so \\ a=1 \\ b=-3 \\ c=-54 \end{gathered}[/tex]b) now, replace in the formula and evaluate
[tex]\begin{gathered} x=\frac{-b\pm\sqrt{b^2-4ac}}{2a} \\ x=\frac{-(-3)\pm\sqrt{(-3)^2-4(1)(-54)}}{2(1)} \\ x=\frac{-(-3)\pm\sqrt{9+216}}{2}=\frac{3\pm\sqrt{225}}{2} \\ x=\frac{3\pm15}{2} \end{gathered}[/tex]so
[tex]\begin{gathered} x_1=\frac{3+15}{2}=9 \\ x_2=\frac{3-15}{2}=-6 \end{gathered}[/tex]therefore, the answer is
A. 9
I hope this helps you
Let f(x)=x^2+5x−36. Enter the x-intercepts of the quadratic function in the boxes.___and__
Given
[tex]f(x)=x^2+5x-36[/tex]P(A)=0.35P(B)=0.40P(A and B)=0.13Find P(A or B).Round your answer to two decimal places.
Given:
[tex]\begin{gathered} P\left(A\right)=0.35 \\ P\left(B\right)=0.40 \\ P\left(A\text{ }and\text{ }B\right)=0.13 \end{gathered}[/tex]To find:
[tex]P(A\text{ or }B)[/tex]Explanation:
Using the formula,
[tex]\begin{gathered} P(A\text{ or}B)=P(A)+P(B)-P(A\text{ and }B) \\ =0.35+0.40-0.13 \\ =0.62 \end{gathered}[/tex]Therefore, the value is,
[tex]P(A\text{ or }B)=0.62[/tex]Final answer:
The value is,
[tex]P(A\text{ or }B)=0.62[/tex]please help me with my question.
The volume of a cylinder is given by
[tex]V=\pi(R^2)H[/tex]Here H = 8cm, we do not know the value of the radius, but we can find that given the circumference.
[tex]\begin{gathered} C=2\pi R=20\pi \\ R=\frac{20\pi}{2\pi}=10\operatorname{cm} \end{gathered}[/tex]Thus the volume should be;
[tex]\begin{gathered} V=\pi(10^2)8 \\ V=2513.27\operatorname{cm}^3 \end{gathered}[/tex]That is option A
5 times 5 I need help solving that one
5 times 5 = 5 x 5
= 25
Answer : 25
I got the first one right but I can’t figure out the rest. College Calculus 1. Please help :)
SOLUTION
Consider the image given
In other to evaluate the value of
[tex]g(f(0))[/tex]We first evaluate
[tex]f(0)[/tex]From the graph,
[tex]f(0)=0[/tex]Then, we obtain the value of g(0) by tracing the value of zero on the blue curve, we have
[tex]g(0)=3[/tex]Therefore
g(f(0) = 3
-2/5 divide (-3) multiply and reduce to lowest terms.
Answer:
2/15
Explanation:
Given the expression:
[tex]-\frac{2}{5}\div(-3)[/tex]First, change the division sign to times by taking the reciprocal of the number after the sign:
[tex]=-\frac{2}{5}\times-\frac{1}{3}[/tex]Next, multiply the numerators and denominators:
[tex]\begin{gathered} =\frac{(-2)\times(-1)}{5\times3} \\ =\frac{2}{15} \end{gathered}[/tex]The fraction is already in its lowest form as required.
Riley has 200 stands 35% are from Europe 10% from Asia and 20% are from Australia the rest of the stamps are from North America how many of rileys stamps are from North America
Explanation:
First, we need to calculate the rest of the percentage. So, if the total percentage is 100%, the percentage that corresponds to North America can be calculated as:
100% - (35% + 10% + 20%)
100% - (65%)
35%
So, 35% of the stands are from North America.
Now,
Flying against the wind, an airplane travels 2010 kilometers in 3 hours. Flying with the wind, the same plane travels 10,530 kilometers in 9 hours. What is the rate of the plane in still air and what is the rate of the wind?
it is given that,
the distance travel against wind = 2010
time = 3 hrs
so, the relative speed is = distance/ time = 2010/3 = 670 km/hr
the distance travel with wind is 10,530
time 9 hrs
so,the relative speed is,= 10 530/9 = 1170 km/hr
let a = speed of plane ,
b = speed of wind
so, when plane travel with wind the the relative speed is ,
a + b = 1170
when travel against wind then the relative speed,
a - b = 670
sum the equation
a + b + a - b = 1170 + 670
2a = 1840
a = 920
put a = 920 in equation a + b = 1170
920 + b = 1170
b = 1170 - 920
b = 250
thus, the rate of plane is 920
rate of wind is 250
I need help with question 4, I've included the prior answers from questions 1, 2 and 3 to help you. I've also included what the previous questions were so you have some context of the situation. Although, I think you only need the answers from part C ( which is the graph I've including) to answer question 4
We are asked to determine the equation of the midline for the periodic function. This can be seen below.
Explanation
Using the parameters from the graph, the function can be expressed as;
[tex]y=(100sinx)+150[/tex]The graph that contains the equation of the midline can be seen below.
Therefore, the equation of the midline is
Answer:
[tex]y=150[/tex]The values of x and y vary directly and one pair of values are given write an equation that relates xand y simplify completely
The values of x and y vary directly. Hence, we can write
[tex]y=kx[/tex]Here, k is the constant of proportionality.
Substitute x=0.1 and y=0.9 in the above equation and solve for k.
[tex]\begin{gathered} 0.9=k\times0.1 \\ k=\frac{0.9}{0.1} \\ k=9 \end{gathered}[/tex]Put the value of k in y=kx.
Therefore, y=9x.
1 The graph of y=-1/2x+2 is positive over the interval (- infty∞,4) and negative over the interval (4,infty∞,). What happens on the graph when x=4?
The answer is letter B.
In a painting of the Mona Lisa, the length of the painting is 4 - inches, Milo scales the drawing up by 2 What is the length of the scaled copy?
Wee, it he is scalaing the painting by two the new length must be twice the original length.
length = 2 x 4 = 8 in
New length = 8 in
Jordan plots point m at (-3,7) Graph point m reflected across the y-axis. in which quadrant would the new point be located?
If he reflected the point (-3, 7) over the y-axis it will end up in the first quadrant.
*The transformation rule is (x, y) -> (-x, y) so, x & y-components will be positive, thus being in the first quadrant.
I need help with this question please. Also, this is just apart of a homework practice
Given:
[tex]P(x)=4x^5+9x^4+6x^3-x^2+2x-7[/tex]The leading coefficient is the coeffient (number) written in front of the the variable with the highest power of x.
So, the leading coefficient is 4
The degree of the equation is the highest power of the variable.
In this question, the degree is 5.
Finally, to find the end behavior, you have to substitute the leading term by +∞ and -∞ to observe the behavior of the function.
Substituting by +∞:
[tex]4\cdot\infty^5=\infty[/tex]Substituting by -∞:
[tex]4\cdot(-\infty)^5=-\infty[/tex]Answer:
Leading coefficient: 4
Degree: 5
x → +∞; P(x) → +∞
x → -∞; P(x) → -∞
Alternative A.
Emma made a mistake when she divided 6.4 by 0.02. She divided 2 into 64 and got 32 but she did not use the decimals. Describe her mistake and show the correct division.
The given division can be expressed mathematically as:
[tex]\frac{6.4}{0.02}[/tex]Emma did 64/2 and got 32 because he multiplied the numerator by 10 and the denominator by 100. This is a mistake because both the numerator and the denominator should be multiplied by equal number.
Emma can correct this mistake by multiplying the numerator (6.4) and the denominator(0.02) by 100 as shown below
[tex]\begin{gathered} \frac{6.4\times100}{0.02\times100} \\ =\text{ }\frac{640}{2} \\ =\text{ 320} \end{gathered}[/tex]Therefore, the correct result for 6.4 divided by 0.02 is 320 and not 32 that Emma got.
what is five plus two
In this case, we'll have to carry out several steps to find the solution.
Step 01:
Data:
five plus two
Step 02:
addition:
5 + 2 = 7
The answer is:
7
two numbers have a sum of -10 and a difference of -2 what is the product of numbers
let 'x' and 'y' be two numbers that have a sum of -10 and a difference of -2, then, we have the following system of equations:
[tex]\begin{gathered} x+y=-10 \\ x-y=-2 \end{gathered}[/tex]notice that if we add both equations at the same time, we get:
[tex]\begin{gathered} x+y=-10 \\ x-y=-2 \\ --------- \\ 2x=-12 \\ \Rightarrow x=\frac{-12}{2}=-6 \\ x=-6 \end{gathered}[/tex]now that we have that x = -6, we can find the value of y substituting x = -6 on any equation:
[tex]\begin{gathered} -6+y=-10 \\ \Rightarrow y=-10+6=-4 \\ y=-4 \end{gathered}[/tex]therefore, x = -6 and y = -4. Next, we have that the product is (-6)(-4) = 24
If [tex]f(x)=3x-2[/tex] and [tex]g(x)=\frac{1}{3}x+1[/tex], then [tex](f(g))^{-1} (x)[/tex] equals:
a. [tex]1-x[/tex]
b. [tex]x-1[/tex]
c. [tex]\frac{1}{3} (3x-1)[/tex]
d. [tex]x+1[/tex]
Answer:
B) x - 1=================
Givenf(x) = 3x - 2, g(x) = 1/3x + 1Find the composite function f(g(x))f(g(x)) = 3(1/3x +1) - 2 = x + 3 - 2 = x + 1Find the inverse of f(g(x))x = f(g)⁻¹(x) + 1f(g)⁻¹(x) = x - 1Correct choice is B
what is four fiths minus 6 fiftheens
what is four fiths minus 6 fiftheens
we have
4/5-6/15
Multiply by 3/3 fraction 4/5
4/5(3/3)=12/15
substi
f(2)=1/xsolve both go 2)=3x
The functions are:
[tex]\begin{gathered} f(x)=\frac{1}{x} \\ g(x)=3x \end{gathered}[/tex]We need to evaluate f(x) in x=-2 and g(x) in x=2, so:
[tex]\begin{gathered} f(-2)=\frac{1}{(-2)}=-\frac{1}{2}=-0.5 \\ g(2)=3\cdot2=6 \end{gathered}[/tex]find the slope of the line
Solution
We can use the following points from the graph:
(0,-2) and (2,1)
And we can find the slope on this way:
[tex]m=\frac{y_2-y_1}{x_2-x_1}=\frac{1+2}{2-0}=\frac{3}{2}[/tex]Then we can find the intercept on this way:
1= 3/2 (2)+b
b= 1-3= -2
Then the equation would be:
y= 3/2 x -2