we have the formula
[tex]F=\frac{9}{5}C+32[/tex]in this problem we have
F=50
substitute
[tex]50=\frac{9}{5}C+32[/tex]Solve for C
[tex]\begin{gathered} \frac{9}{5}C=50-32 \\ \\ \frac{9}{5}C=18 \end{gathered}[/tex]C=(18*5)/9
C=10 degrees
the answer is option B-27\sqrt(3)+3\sqrt(27)
we have the expression
[tex]-27\sqrt[\square]{3}+3\sqrt[\square]{27}[/tex]Remember that
[tex]27=3^3[/tex]substitute in the original expression
[tex]-27\sqrt[\square]{3}+3\sqrt[\square]{3^3}[/tex]simplify
[tex]\begin{gathered} -27\sqrt[\square]{3}+3\cdot3\sqrt[\square]{3^{}} \\ -27\sqrt[\square]{3}+9\sqrt[\square]{3^{}} \\ -18\sqrt[\square]{3} \end{gathered}[/tex]Given the two functions f(x) and g(x). what is the smallest whole number value of x such that f (x) >9(x) f(x) = 1/2 (2) 9 (x) = 5x + 2
Given data:
The expression for the first function is f(x)= 1/2 (2)^x.
The expression for the second function is g(x)= 5x+2.
The given inequality is,
[tex]\begin{gathered} f(x)\ge g(x) \\ \frac{1}{2}(2)^x\ge5x+2 \\ 2^x\ge10x+4 \end{gathered}[/tex]The above expression is satisfy when the value of x greater than or equal to 6.
Thus, the minimum of whole number for x is 6.
6) Each day, Valerie charges her lunch account for her lunch. If the cost ofthe lunch is $3, then by how much has her lunch account been impactedover a period of 15 days? (A charge on her account would mean anegative value)Your answer
Let:
C(t) = charge on her account over the days
t = number of days
So:
[tex]\begin{gathered} C(t)=-3t \\ \text{Over a period of 15 days, t=15} \\ C(15)=-3(15)=-45 \end{gathered}[/tex]-$45
10 square pieces of foam board each with an area of 169 square inches be cut in used to construct a cube with a volume of 1728 cubic inches explained 1.yes the side lengths of boards is greater than the side of the cube 2.yes the area of Ford is greater than the volume of the cube 3.no the side length of board is less than the side of the cube 4.know the area of board is less than the volume of the cube
10 square pieces each have area of 169 square inch,
expression for the area of square is
[tex]\text{Area of square =side}^2[/tex]Since, area is given, plot the value and solve for the measurement of the side of square,
[tex]\begin{gathered} \text{side}^2=169 \\ \text{side}=13\text{inch} \end{gathered}[/tex]The cube has the same length, breadth as well as hieght so the volume of cube is :
[tex]\text{Volume of cube =side}^3[/tex]the volume of the cube is given, substitute the volume=1728, and solve for dimension of the cube,
[tex]\begin{gathered} \text{Volume of cube =side}^3 \\ \text{side}^3=1728 \\ \text{side}=12\text{ inch} \end{gathered}[/tex]so, the length of board is 13, which have to be cut to to become 12 inch for making cube,
Answer :
1. yes, the side length of the board is greter than the side of cube.
Carole wants to plant some basil in a cube-shaped planter box. If one edge of the box measures 9 inches, how much soil will be needed to fill the planter?
We know that all the sides of a cube have the same measures:
and its volume is given by
side * side * side = side³
Then, in this case
side = 9 in
↓
volume = (9 in)³
↓ since 9³ = 27
volume = 27 in³
Then, we will need 27 in³ of soil to fill the planter.
Answer: 27 in³using the quadratic formula solve x=x^2+3x+7
The answer 2. what is the correlation between the interest rate and the yield of the stock 3. if the prime interest rate is 5% the price is predicted to be is?
Answer:
y = 2.11926272 + 0.39484459x
correlation = 0.65293153
price = 4.09348567
Explanation:
The equation of the regression line has that form:
y = a + bx, where a and b are the values given by the calculator.
So, replacing the values of a and b, we get:
y = 2.11926272 + 0.39484459x
On the other hand, the correlation is the value of r given by the calculator, so the correlation is 0.65293153
Finally, we can predict the price, replacing x with a certain percentage rate. Then, replacing x by 5%, we get:
y = 2.11926272 + 0.39484459x
y = 2.11926272 + 0.39484459(5)
y = 2.11926272 + 1.97422295
y = 4.09348567
So, the price predicted is 4.09348567.
Therefore, the answers are:
y = 2.11926272 + 0.39484459x
correlation = 0.65293153
price = 4.09348567
a box is used to ship
Given:
length(l)=20
width(w)=24
height(h)=12
Surface area of the box:
[tex]SA=2\times l\times w\text{ + 2}\times w\times h\text{ + 2}\times h\times l[/tex][tex]SA=2\times20\times24+2\times24\times12+2\times12\times20[/tex][tex]SA=960+576+480[/tex][tex]SA=2016in^2[/tex]Janice says she needs a new pair of tennis shoes (sneakers) for $150.Her parents say it is want not a need.Who is correct?Explain your answer.
please don't close the session, the image its downloading
A florist is filling a large order for a client. The client wants no more than 250 roses in vases. The smaller vase will contain 6 roses and the larger vase will contain 10 roses. The client requires that there are at least twice as many small vases as large vases. The client requires that there are at least 8 small vases and no more than 14 large vases.Let x represent the number of small vases and y represent the number of large vases.What constraints are placed on the variables in this situation?Select each correct answer.Question 14 options:x≤8x≥6y≤14x≥2yx+y≤2506x+10y≤250y≥2xx≥8
I will answer step by step:
1) "The client wants no more than 250 roses in vases" and "The smaller vase will contain 6 roses and the larger vase will contain 10 roses". If x represents the number of small vases and y represent the number of large vases, this mathematically means:
[tex]6x+10y\leq250[/tex]2) "The client requires that there are at least twice as many small vases as large vases"
[tex]x=2y[/tex]3) The client requires that there are at least 8 small vases and no more than 14 large vases.
[tex]x\ge8[/tex][tex]y\leq14[/tex]That is all the options that are correct!
4. After taking inventory, a local convenience store has 323 pieces of candy. The local grocerystore has 27 times more candy than the convenience store. How many pieces of candy are inthe grocery store?08,7218,4518,99108,181
Given that
A convenience store has 323 pieces of candy. And local grocery has 27 times more candies. And we have to find the candies that grocery has.
Explanation -
The candies convenience store has = 323
Number of candies grocery has = 27 x 323
= 8721
So option A is correct.
Final answer -
Therefore the final answer is 8721.The table gives a set of outcomes and their probabilities. Let A be the event "the outcome a divisor of 1". Find P(A). Outcome Probability 1 0.11 2 0.11 3 0.11 4 0.2 Q 5 0.2 6 0.03 0.11 00 0.13
A divisor is a number that divides another number either completely or with a remainder
From the table, only outcome 1 is the divisor of 1
Hence, P(A) = 0.11
The answer is p(A) = 0.11
[tex]1599 + 45.60 + 2223 + 149 + 123.5 + 299 + 741 = [/tex]what's the answer
The answer for this sum:
1599 + 45.60 + 2223 + 149 + 123.5 + 299 + 741 is 5180.1.
The Food Mart grocery store has a candy machine. Each time a child inserts a quarter, 7 candies come out of the machine. The machine holds 15 pounds of candy. Each pound of candy contains about 180 individual candies. 1 Represent the number of candies in the machine for any given number of customers. About how many customers will there be before the machine is empty? 2 Represent the amount of money in the machine for any given number of customers.
The number of candies in the machine = 2700 candies
Number of customers required to empty the machine = 386
The amount of money in the machine = $96.43
Explanations:The price of candy in the machine = 15 pounds
Each pound of candy contains about 180 individual candies.
A child can buy 7 candies with a quarter
1 pound = 180 candies
15 pounds = 180 * 15 = 2700 candies
The number of candies in the machine = 2700 candies
2) 7 candies cost 1 quarter
2700 candies will cost 2700 / 7 quarters
2700 candies will cost 385.7 quarters
Since each child inserts a quarter, there will be 386 customers to empty the machine
1 quarter = $0.25
385.7 quarters = $96.43
The amount of money in the machine = $96.43
Help me graph this is my homework I need help thanks
Kindly check below
1) Whenever there is a coefficient "a" such as 0
2) Note that this graph resembles an absolute value function, y=|2x| but it is not. Therefore, we can plot the graph this way.
In our original function the points are (0,0), (2,4), (-2,4) in our compressed ones the points are (0,0), (2,2), and (-2,2)
What is the sum of the interior angles in a 13-gon!
The sum of the interior angles of a polygon follows this rule:
[tex](n-2)\cdot180[/tex]Where n = 13, the number of sides.
[tex](13-2)\cdot180=11\cdot180=1980[/tex]Hence, the interior angles of a 13-gon sum 1980°.I need help?Thank you!
Given that,
[tex]m\measuredangle1\cong m\measuredangle4[/tex]Since, the opposite angles are equal,
[tex]m\measuredangle4=m\measuredangle2[/tex]From these two equations,
[tex]m\measuredangle1\cong m\measuredangle2[/tex]Since, the opposite angles are equal,
[tex]m\measuredangle1\cong m\measuredangle3[/tex]From, tese two equations,
[tex]m\measuredangle2\cong m\measuredangle3[/tex]Hence, Proved.
Patrick is buying a house for $85,000. His closing costs are 5% of the price of the house. How much will he have to pay for closing costs? I assume $4,250?
We need to calculate the 5% of $85000 in order to know the closing costs
[tex]85000\cdot\frac{5}{100}=4250[/tex]He will pay for closing costs $4,250
Hey can you help me with this quick equation ?
We were given the following information:
There are 158 empty seats
There are 237 occupied seats
Total number of seats = 395 seats
The percentage of seats that are empty is given by:
[tex]\begin{gathered} \text{\%}Empty.Seat=\frac{No.of.empty.seat}{Total.number.of.seats}\times100\text{\%} \\ \text{\%}Empty.Seat=\frac{158}{395}\times100\text{\%} \\ \text{\%}Empty.Seat=0.4\times100\text{\%} \\ \text{\%}Empty.Seat=40\text{\%} \\ \\ \therefore\text{\%}Empty.Seat=40\text{\%} \end{gathered}[/tex]Therefore, the percentage of empty seats is 40%
what is an asymptote??
Answer:
pictures say a million words
Step-by-step explanation:
I need help with all of these they are way too confusing
1. √49 x⁵ = 7x²√x
2. √12x³ = 2x√3x
3. √32x = 4√2x
4. √48x⁴ = 4x²√3
5. √64x³y = 8x√xy
6. √18x³yx = 3x√2xyz
Find the lengths of diagnosis AC and BD for the parallelogram where EB = x + 17, ED = 3y + 2, EA= 8x + 1 and EC = 6y - 11. SHOW ALL WORK.
Given:
EB = x + 17
ED = 3y + 2
EA = 8x + 1
EC = 6y - 11
Let's find the lengths of digonals AC and EB.
To find the lengths of the lengths of the diagonals, we have the set of equations:
8x + 1 = 6y - 11
x + 17 = 3y + 2
Let's solve the equations simultaneously using substitution method.
8x + 1 = 6y - 11...........................equation 1
x + 17 = 3y + 2.............................equation 2
From equation 2, write the equation for x:
Subtract 17 from both sides in equation 2:
x + 17 - 17 = 3y + 2 - 17
x = 3y -15..................equation 3
Substitute (3y - 15) for x in equation 1:
8(3y - 15) + 1 = 6y - 11
Apply distributive property:
8(3y) - 8(15) + 1 = 6y - 11
24y - 120 + 1 = 6y - 11
24y - 119 = 6y - 11
Add 119 to both sides:
24y - 119 + 119 = 6y - 11 + 119
24y = 6y+108
Subtract 6y frm both sides:
24y - 6y = 6y - 6y + 108
18y = 108
Divide both sides by 18:
[tex]\begin{gathered} \frac{18y}{18}=\frac{108}{18} \\ \\ y=6 \end{gathered}[/tex]Substitute 6 for y in equation 3:
x = 3y - 15
x = 3(6) - 15
x = 18 - 15
x = 3
We have the values of x and y:
x = 3, y = 6
Let's find the length of the diagonals:
Length of AC:
AC = EA + EC
AC = 8x + 1 + 6y - 11
Substitute 3 for x and 6 for y
AC = 8(3) + 1 + 6(6) - 11
AC = 24 + 1 + 36 - 11
AC = 50
Length of BD:
BD = EB + ED
BD = x + 17 + 3y + 2
Substitute 3 for x and 6 for y:
BD = 3 + 17 + 3(6) + 2
BD = 3 + 17 + 18 + 2
BD = 40
Therefore, the lengths of the diagonals are:
AC = 50
BD = 40
ANSWER:
AC = 50
BD = 40
Select the correct answer.Consider these functions:What is the value of x when g(h(x)) = 4?
Given:
Here in question,
we have two function with their image
Required:
We need to find the value of x when g(h(x)) = 4.
Explanation:
for this first of all as we can see that the image of 2 in g is 4 so here we can say that
[tex]\begin{gathered} g(2)=4 \\ g(h(x))=4 \end{gathered}[/tex]so h(x)=2
now at x-4 we have h function 2 so the value of x is 4
Final answer:
We get g(h(x)) = 4 when x=4
Question: Determine the rate of change from this graph. (Picture of graph attached)
By definition, the rate of change of a line is also called "slope".
When a line passes through the Origin, its equation has the following form:
[tex]y=mx[/tex]Where "m" is the slope of the line.
Then, in order to find the slope of the line shown in the graph, you can follow these steps:
1. Choose a point on the line. This can be:
[tex](2,80)[/tex]2. Substitute the corresponding coordinates into:
[tex]y=mx[/tex]Then:
[tex]80=m(2)[/tex]3. Solve for "m":
[tex]\begin{gathered} \frac{80}{2}=m \\ \\ m=40 \end{gathered}[/tex]Therefore, the answer is:
[tex]m=40[/tex]Which statement correctly describes the relationship between point (4.5, 3) and point G
The point (4.5, 3) is a reflection of the point G over the x-axis
Explanations:The coordinates of the point G is (4.5, -3)
Note that:
The reflection over the x-axis will make (x, y) to become (x, -y)
Therefore, the point (4.5, 3) is a reflection of the point G(4.5, -3) over the x-axis
Hello I don’t need no explanation or words just the letter thank you so much!Which step has a mistake?
Simplify:
[tex]\frac{x}{z+3}\div\frac{x-2}{x+3}[/tex]Convert the division of fractions into a product with the reciprocal of the denominator:
[tex]\frac{x}{z+3}\times\frac{x+3}{x-2}[/tex]Now simplify x + 3 in both the numerator and denominator
[tex]\frac{x}{x-2}[/tex]Steps 3 and 4 are wrong because the variable x disappeared and it cannot be done unless they were simplified or they are substituted by a certain value.
Evaluate tan^-1(95) to 2 decimal places in degrees. If necessary, use 3.1416 as an approximation to pi.
1) We can get started by evaluating the arctangent of angle 95º:
[tex]\begin{gathered} \theta=\tan^{-1}(95) \\ θ=1.56027 \end{gathered}[/tex]Note that since this is not a recurrent angle, there are no values in terms of pi. So we can tell the answer is:
[tex]θ\approx1.56[/tex]2)This is the answer to the nearest hundredth.
What is the volume of this sphere? Use = 3.14 and round your answer to the nearest hundredth. cubic inches
We are asked to find the volume of the given sphere.
Recall that the volume of a sphere is given by
[tex]V=\frac{4}{3}\cdot\pi\cdot r^3[/tex]Where π is a constant and r is the radius of the sphere.
Also, recall that the radius is half of the diameter.
[tex]r=\frac{D}{2}[/tex]For the given problem, the diameter of the sphere is 2 in
[tex]\begin{gathered} V=\frac{4}{3}\cdot\pi\cdot r^3 \\ V=\frac{4}{3}\cdot\pi\cdot(\frac{D}{2})^3 \\ V=\frac{4}{3}\cdot3.14\cdot(\frac{2}{2})^3 \\ V=\frac{4}{3}\cdot3.14\cdot(1)^3 \\ V=\frac{4}{3}\cdot3.14\cdot1 \\ V=4.1867 \\ V=4.19\: in^3\quad (\text{rounded to nearest hundredth)} \end{gathered}[/tex]Therefore, the volume of the given sphere is 4.19 cubic inches.
Please can someone help me with this 2 part question
Solution
Step 1:
Write the matrix:
[tex]\begin{gathered} X\text{ = }\begin{bmatrix}{6} & {a} \\ {-2} & {-5}\end{bmatrix} \\ I\text{ = }\begin{bmatrix}{1} & {0} \\ {0} & {1}\end{bmatrix} \end{gathered}[/tex]Step 2:
Find the inverse of X.
[tex]X^{-1}\text{ = }\frac{Adjoint}{Determinant}[/tex]Step 3:
Find the determinant
[tex]\begin{gathered} Determinant\text{ of X = }\begin{bmatrix}{6} & {a} \\ {-2} & {-5}\end{bmatrix} \\ Co-factor\text{ of X = }\begin{bmatrix}{-5} & {2} \\ {-a} & {6}\end{bmatrix} \\ Adjoint\text{ is the transpose of the co-factor of X} \\ Adj\text{oint = }\begin{bmatrix}{-5} & {-a} \\ {2} & {6}\end{bmatrix} \\ Deterninant\text{ = 2a - 30} \end{gathered}[/tex]Step 4:
[tex]\begin{gathered} X\text{ - }X^{-1}\text{ = I} \\ \\ \begin{bmatrix}{6} & {a} \\ {-2} & {-5}\end{bmatrix}\text{ - }\frac{\begin{bmatrix}{-5} & {-a} \\ {2} & {6}\end{bmatrix}}{2a\text{ - 30}}\text{ = }\begin{bmatrix}{1} & {0} \\ {0} & {1}\end{bmatrix} \\ \begin{bmatrix}{6} & {a} \\ {-2} & {-5}\end{bmatrix}\text{ - }\begin{bmatrix}{\frac{-5}{2a-30}} & {\frac{-a}{2a-30}} \\ {\frac{2}{2a-30}} & {\frac{6}{2a-30}}\end{bmatrix}\text{= }\begin{bmatrix}{1} & {0} \\ {0} & {1}\end{bmatrix} \\ \begin{bmatrix}{6\text{ + }\frac{5}{2a-30}} & {a\text{ + }\frac{a}{2a\text{ - 30}}} \\ {-2\text{ -}\frac{2}{2a\text{ - 30}}} & {-5-\text{ }\frac{6}{2a\text{ - 30}}}\end{bmatrix}\text{ = }\begin{bmatrix}{1} & {0} \\ {0} & {1}\end{bmatrix} \end{gathered}[/tex]Step 5;
Write equations
[tex]\begin{gathered} \text{ 6 + }\frac{5}{2a\text{ - 30 }}\text{ = 1} \\ \frac{6(2a\text{ - 30\rparen + 5}}{2a\text{ - 30}}\text{ = 1} \\ \frac{6(2a\text{ -30\rparen + 5}}{2a\text{ - 30}}\text{ = 1} \\ 12a\text{ - 180 + 5 = 2a - 30} \\ 12a\text{ - 2a = 175 - 30} \\ 10a\text{ = 145} \\ \text{a = }\frac{145}{10} \\ \text{a = }\frac{29}{2} \end{gathered}[/tex]Final answer
[tex]\begin{gathered} i)\text{ }X^{-1}\text{ = }\frac{1}{2a\text{ - 30}}\begin{bmatrix}{-5} & {-a} \\ {2} & {6}\end{bmatrix} \\ ii)\text{ }a\text{ = }\frac{29}{2}\text{ or 14.5} \end{gathered}[/tex]SAT Questions: Solving Multi-Step Equations2(5x – 20) – (15 + 8x) = 7What value of x satisfies the equation above?O 31/9O 31I 162O 18
Answer:
31/9
Explanation:
Given the equation
[tex]2\mleft(5x-20\mright)-15+8x=7[/tex]Step 1: Open the brackets
[tex]10x-40-15+8x=7[/tex]Step 2: Take all constants to the right-hand side.
[tex]\begin{gathered} 10x+8x=7+40+15 \\ 18x=62 \end{gathered}[/tex]Step 3: Divide both sides of the equation by 18
[tex]\begin{gathered} \frac{18x}{18}=\frac{62}{18} \\ x=\frac{62}{18} \\ x=\frac{31}{9} \end{gathered}[/tex]The value of x that satisfies the given equation is 31/9.