Answer:
You cannot solve this problem with only one given equation
Step-by-step explanation:
You need at least 2 equations to solve for two variables.
Write a slope-intercept equation for a line that passes through (-2,1) and (3,-14).
T(h) = - A - B * cos((pi*h)/12) Where T is the temperature in degrees Fahrenheit and h is the number of hours from midnight (0 <= h <= 24) . a. The initial temperature at midnight was - 15 degrees * F and at Noon of New Year's Day it was 5 degrees * F Find A and B. b. Find the average temperature for the first 10 hours. C. Find an expression for the rate that the temperature is changing with respect to h.
The value of A and B is 5 , 10 ;The average temperature for first ten hours is -7.466 degree F ; an expression for the rate that the temperature is changing with respect to h ; dt/dh = +B sin ((pi*h)/12)
What is a Function ?A function is a mathematical statement used to correlate two variables.
The function given is
T(h) = - A - B * cos((pi*h)/12)
T is the temperature in degrees Fahrenheit and
h is the number of hours from midnight (0 <= h <= 24)
a. The initial temperature at midnight was - 15 degrees * F and
at Noon of New Year's Day it was 5 degrees * F
At midnight h = 0
T(h) = -15 degrees F
-15 = -A-B* cos 0
-15 = -A-B
A+B = 15------------------- (1)
At noon , h = 12 , T(h)= 5
- A - B* cos(pi) = 5
-A - B (-1) = 5
B -A = 5 ----------------------- (2)
Solving equation 1 and 2
2B = 20
B = 10
A = 5
The value of A and B is 5 , 10
The average temperature for first ten hours is -7.466 degree F
Find an expression for the rate that the temperature is changing with respect to h
dt/dh = +B sin ((pi*h)/12)
To know more about Function
https://brainly.com/question/12431044
#SPJ1
Suppose that we agree to pay you 7¢ for every problem in this chapter that you solve correctly and fine you 6¢ for every problem done incorrectly. If at the end of 26 problems we do not owe each other any money, how many problems did you solve correctly?
Answer:
I solved 26 problems correctly.
Andres rolls a standard six-sided die, numbered from 1 to 6. Which word or phrase
describes the probability that he will roll a number greater than or equal to 1?
I don't know what the word or phrase is, but with the parameters you've given, 100%
If a line has a slope of 4 and goes through the point open parentheses short dash 1 comma 1 close parentheses, then the equation for the line in slope-intercept form is ______________.
a.)
y equals short dash 4 x minus 3
b.)
y equals 4 x plus 3
c.)
y equals 4 x plus 5
d.)
y equals short dash 4 x minus 5
You are given the slope = 4 and a point is (-1,1)
The equation of a line is written as y - mx + b where m is the slope and b is the y intercept
Using the slope you now have y = 4x + b
Solve for b by replacing x and y with the values of the point:
1 = 4(-1) + b
Simplify:
1 = -4 + b
Add 4 to both sides:
b = 5
The equation of the line is C.) y = 4x + 5
Which graph represents the function f(x)=−3x−2?
Answer:
Step-by-step explanation:
The net of an isosceles triangular prism is shown. What is the surface area, in square units, of the triangular prism?
Three rectangles are shown, one below the other. The middle rectangle has a width of 6 units, and, along each width, is a triangle with a height of 4 units. The length of the lowermost rectangle is 8 units and its width is 5 units.
104 units2
132 units2
152 units2
168 units2
Here, the surface area, in square units, of the triangular prism is 152 units².
We know that the area of any triangle can be calculated as
Area = 1/2 * base * height
The area of any rectangular figure can be calculated as
Area = length * width
Here, the length of the rectangular portion of the prism is 8 units.
The width of the lowermost rectangle is 5 units.
The area of the uppermost rectangle = the area of the lowermost rectangle = 8 * 5 units² = 40 units²
Again the width of the middle rectangle is 6 units.
So, the area of the middle rectangle = 6 * 8 units² = 48 units²
Now, the height and base of the triangles are 4 and 6 respectively.
So, the area of the left-hand side triangle = the area of the right-hand side triangle = 2 * (1/2) * 4 * (6/2) units² = 1 * 4 * 3 units² = 12 units²
Then the area of the triangular prism = area of rectangular portion + area of triangular portion = (2 * 40 + 48) + (2 * 12) units² = (80 + 48) + 24 units² = 128 + 24 units² = 152 units²
Therefore the surface area, in square units, of the triangular prism is 152 units². So, Option C is correct.
Learn more about the area here -
https://brainly.com/question/3867236
#SPJ10
help asap pls ill mark brainliest fr
order them from least to greatest solve them first
Answer:
1/2 - 1/3,
1 - 1/2,
1/4 + 1/2
Step-by-step explanation:
1/4 + 1/2 = 1/4 + 2/4 = 3/4
1/2 - 1/3 = 3/6 - 2/6 = 1/6
1 - 1/2 = 2/2 - 1/2 = 1/2
Hence, the desired order is
1/2 - 1/3,
1 - 1/2,
1/4 + 1/2
Find the solution to the system
of equations.
432G
K
3
-4-3-2-1 1 2 3 4
-1
==x+2
21
4234
([?], [ ])
Enter
Answer:
(-2, 0)
Step-by-step explanation:
The solution to the system is the point where the graphs intersect.
A player shoots a basketball from a height of 6 feet. The equation, , gives the height, h, of the basketball after t seconds. Describe the height, rounded to the nearest tenth of a foot, of the basketball after 1.5 seconds, assuming no other player touches the ball.
feet above the ground
It will be 6 - 4.875 = 1.125 feet above the ground or 1.1 feet (rounded to the nearest tenth of a foot).
All you need to do is to replace t in the given equation with 1.5:
[tex]h=-16(1.5)^2+25(1.5)+6[/tex]
h=-4.875
The value is negative so we can assume that after 1.5 seconds the ball will be 4.875 feet lower than it was shot from.
What is the height?
The measurement of someone or something from head to foot or from base to top.
But we also know that it was shot from a height of 6 feet,
So it will be 6 - 4.875 = 1.125 feet above the ground or 1.1 feet (rounded to the nearest tenth of a foot).
To learn more about the height visit:
https://brainly.com/question/73194
#SPJ1
Select all radical expressions that are equivalent to...
Answer:
B AND E
Step-by-step explanation:
hope that helpsndbwbe
List five rational numbers between:
−4
7
and
1
2
5 rational number between -47 and 12 are {-46, -45, -44, -43, -42}
How to find the rational numbers?
Remember that any integer is also a rational number.
So, if we want to find 5 rational numbers between -47 and 12, we can just find 5 integers between these two numbers.
To do that, we can just add 1 to the lowest bound, we will et:
-47 + 1 = -46
-45 + 1 = -45
-44 + 1 = -44
-43 + 1= -43
-43 + 1 = -42
So 5 rational number between -47 and 12 are {-46, -45, -44, -43, -42}
If you want to learn more about rational numbers:
https://brainly.com/question/12088221
#SPJ1
Need some help. Urgently. Please explain and answer.
Find volume
πr²hπ(4)²(10)16π(10)160πDensity=12g/cm³
We know
mAss=Density ×Volume
12(160)π1920π6031gAnswer:
6032 g
Step-by-step explanation:
The battery can be modeled as a cylinder.
Volume of a cylinder
[tex]\sf V=\pi r^2 h[/tex]
where:
r is the radiush is the heightGiven:
r = 4 cmh = 10 cmSubstitute the given values into the formula and solve for v:
[tex]\begin{aligned}\textsf{Volume of a cylinder} & =\sf \pi r^2 h \\ \implies \textsf{Volume of the battery} & = \sf \pi (4)^2(10)\\ v& = \sf 160 \pi\:\:cm^3\end{aligned}[/tex]
Density equation
[tex]\rho =\dfrac{m}{v}[/tex]
where:
[tex]\rho[/tex] is densitym is massv is volumeGiven:
[tex]\rho = 12 \dfrac{\text{g}}{\sf cm^3}[/tex]
[tex]v=160 \pi \sf \:\:cm^3[/tex]
Substitute the given values into the Density equation and solve for m:
[tex]\begin{aligned}\rho & =\dfrac{m}{v}\\\implies 12 \dfrac{\text{g}}{\sf cm^3} & = \dfrac{m}{160 \pi \sf \:\:cm^3}\\m & = 12 \dfrac{\text{g}}{\sf cm^3} \cdot 160 \pi \sf \:\:cm^3\\m & = 12 \cdot 160 \pi \:\text{g}\\ m & = 1920\pi\:\text{g}\\ m & = 6031.857895...\:\text{g}\end{aligned}[/tex]
Therefore, the total mass of the battery to the nearest gram is 6032 g.
To estimate the height of a totem pole, Jorge uses a small square of plastic. He holds the square up to his eyes and walks backward from the pole. He stops when the bottom of the pole lines up with the bottom edge of the square and the top of the pole lines up with the top edge of the square. Jorge's eye level is about 2 m from the ground. He is about 3 m from the pole. Which of the following is the best estimate of the height of the totem pole?
The height of the pole is 6.50 meters
How to calculate the height?To calculate the height of the pole, we will use of the following equivalent ratios.
By Pythagoras theorem, we have:
[tex]x ^2 = 2^2 + 3^2\\\\x ^2 = 4 + 9\\\\x = \sqrt{13}[/tex]
So, we have:
[tex]h = \dfrac{\sqrt{13}^2 }{2} \\\\h = \dfrac{13}{2}\\\\h = 6.5[/tex]
Hence, the height of the pole is 6.50 meters
Read more about Pythagoras' theorem at:
brainly.com/question/654982
#SPJ1
Fine the IRQ of the data set. 11,13,9,4,6,5,8,10
PLEASE HELP!!!!!!!!!!!!!!
Answer:
5
Explanation:
Data Set : {11, 13, 9, 4, 6, 5, 8, 10}
Arrange ascendingly: {4, 5, 6, 8, 9, 10, 11, 13}
Quartiles:
Q1 --> 5.5Q2 --> 8.5Q3 --> 10.5Interquartile Range: Q3 - Q1 = 10.5 - 5.5 = 5
Proper ascending ordered set
{4,5,6,8,9,10,11,13}Q1
6+5/2=5.5Q3
11+10/2=10.5IRQ
Q3-Q1=10.5-5.5=5Including jose, there are 8 people in his family
If order matters, how many ways can he arrange his family members into a row of 5 seats if jose must sit in the first seat?
The number of ways Jose can arrange his family members into a row of 5 seats if Jose must sit in the first seat is 840.
What is multiplication?Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. For example, 3 × 4 means 3 is added to itself 4 times, and vice versa for the other number.
The number of ways Jose can make his family sit is,
Number of ways = number of ways people can sit on the first sit × number of ways people can sit on the second sit × number of ways people can sit on the third sit × number of ways people can sit on the fourth sit × number of ways people can sit on the fifth sit
Since Jose wants to sit on the first seat there are only options for the first seat, therefore,
Number of ways = 1 × 7 × 6 × 5 × 4 = 840
Hence, the number of ways Jose can arrange his family members into a row of 5 seats if Jose must sit in the first seat is 840.
Learn more about Multiplication:
https://brainly.com/question/14059007
#SPJ1
Find the area.
O 121.12 ft²
O 53.1 ft²
O 152.3 ft²
O212 ft²
7 ft
8 ft
The area of the geometry will be 53.1 square feet. Then the correct option is B.
What is Geometry?It deals with the size of geometry, region, and density of the different forms both 2D and 3D.
The figure is the combination of the triangle and semicircle.
Then the area will be
Area = area of triangle + area of semicircle
Area of triangle = 1/2 x 8 x 7
Area of triangle = 28 square ft
Area of semicircle = (π / 8) x 8²
Area of semicircle = 25.13 square ft
Then the area of the geometry will be
Area = 28 + 25.13
Area = 53.1 square feet
Then the correct option is B.
More about the geometry link is given below.
https://brainly.com/question/7558603
#SPJ1
A clothing store is having a 15% off sale on t-shirts. If you will save $3.75 on a shirt, what was the original price before the sale? Show your work.
Answer:
$25
Step-by-step explanation:
3.75 is 15% of 25.
15% × 25 = 3.75
Suppose that the speed at which cars go on the freeway is normally distributed with mean 65 mph and
standard deviation 6 miles per hour. Let X be the speed for a randomly selected car
b. If one car is randomly chosen, find the probability that it is traveling more than 63 mph.
Answer:
B) the probability that is traveling more than 63 mph is 0.6293 (or 62.93%)
Step-by-step explanation:
Given:
Normally DistributedMean (μ) = 65 mphStandard Deviation (σ) = 6 miles per hourFinding the Probability:
If one car is randomly chosen, we want the probability that is traveling more than 63 mph is,
P(X > 63)
To find the value of z,
z = x - μ / σ
z is the standard scorex is the observed valueμ is the mean of the sampleσ is the standard deviation of the samplez = 63 - 65 / 6
z = -2 / 6
z = -1 / 3 which is approximately -0.33
Using Z table (attached below):
z = -0.33to find this on the table
on the vertical side under z go to -0.3on the horizontal next to z, go to .03The area under the curve is 0.3707
P(z > 63) = 1 - P(z < 63)
= 1 - 0.3707
= 0.6293
Hence the probability that is traveling more than 63 mph is 0.6293
Learn more Probability from a similar example: https://brainly.com/question/15565069
There are 120 students in Year 11 at a school.
Each student studies one language, either French, Spanish, German or Welsh.
21 of the 40 students studying Welsh are male.
18 males and 9 females study French.
12 of the 17 students studying Spanish are female.
Twice as many females study German than males.
How many students in Year 11 are female?
Answer:
80 students are female
Step-by-step explanation:
21 are male meaning 19 are female
9 are female in French
12 are female in Spanish
total = 40
2x + 40 = 120
2x = 80
x = 40
females' = 80
total = 80
Which values of x and y would make the following expression represent a real number?
(4 +51)(x + yı)
O x = 4, y =
O x=-4, y = 0
Ox = 4, y = -5
O x = 0, y = 5
The values of x and y would make the following expression represent a real number is 4 and -5 respectively
Complex and real numberThe standard form of writing a complex number is given asl
z= x + iy
where
x is the real part
y is the imaginary part
Given the expression below;
(4 +5i)(x + yi)
Expand
4x + 4yi + 5ix + 5y(-1)
4x + 4yi + 5ix - 5y
Hence the values of x and y would make the following expression represent a real number is 4 and -5 respectively
Learn more on complex number here: https://brainly.com/question/10662770
#SPJ1
factorize of 2a³-a²+a-2
=========================================================
Explanation:
Use the rational root theorem to determine this list of possible rational roots: 1, -1, 1/2, -1/2
Plug each possible root one at a time into the original expression given. If the simplified result is 0, then that possible root is an actual root.
If we tried say a = -1, then,
2a³-a²+a-2 = 2(-1)³-(-1)²+(-1)-2 = -6
The result is not zero, so a = -1 is not an actual root.
But if we tried say a = 1, then,
2a³-a²+a-2 = 2(1)³-1²+1-2 = 0
We get 0 so a = 1 is an actual root. I'll let you try the other values, but you should find that a = 1 is the only rational root.
Since a = 1 is a root, this makes (a-1) to be a factor.
From here, use either synthetic or polynomial long division to determine the other factor. Refer to the diagram below for each method.
Regardless of which method you pick, the quotient is 2a² + a + 2 which is the other factor needed. The remainder of 0 tells us we have (a-1) as a factor. For more information, check out the remainder theorem.
NEED ASAP
The scatter plot below shows the amount of profit earned per month by a bagel shop over a period of 11 months.
Write an equation for the line of best fit that models the relationship between profit in thousands, p, and time in months,m. Then, use your equation to predict the profit the bagel shop will earn in month 12. Round slope and -y intercept to the nearest tenth.
The bagel shop will earn $9625 in 12 months.
What is a Scatter Plot ?Scatter plot are graphs that identifies relation between x and y variables.
The scatter points are given in the graph and we have to determine the equation that best fits the data .
the points in the scatter plot is
(3,4) and (8,6)
The slope of the equation
y = mx +c is given by
m =(y2 - y1)/(x2-x1)
m = (9-4)/(11-3)
m = 5/8 = 0.625
The equation is
y= 0.625x +2.125
for 12 months
y = 9.625 thousand = 9625 thousand in 12 months
Therefore the bagel shop will earn $9625 in 12 months.
To know more about Scatter Plot
https://brainly.com/question/13984412
#SPJ1
Answer:
$9,625 is the answer, and $9,300 is the rounded answer
Step-by-step explanation:
general formula: y=ax-b
required form: p=am-b
choose two dots: (11,9), (3,4)
find the slope: 9-4/11-3=5/8 -> p=5/8
put it into an equation: f(11)=6&7/8-b=9, f(3)=1&7/8-b=4
finding the y-intercept: -9+6&7/8=2&1/8, -4+1&7/8=2&1/8 -> b=2&1/8
forming a whole equation: p=5/8m+2&1/8
predict the profit in December: p=7&4/8+2&1/8=9&5/8
the bagel shop will earn $9,625 in December
round them to the nearest tenth: p=0.6m+2.1
predict the profit in December: p=7.2+2.1=9.3 -> $9,300
A=CD-B how to solve for B
Answer:
Step-by-step explanation:
B=CD-A
Instructions: Complete the following proof by dragging and dropping the
correct reason in the spaces below.
Statement
Complete the Proof
8x5= 2x + 1
6x5=1
6x = 6
x = 1
Reason
1
Someone help proofs aren’t my thing
The solution to the given linear equation is x=1
Solution to linear equationLinear equations are equations that has a leading degree of 1.
Given the linear equation as shown below;
8x - 5= 2x + 1
Subtract 2x from both sides
8x - 2x - 5 = 2x + 1-2x
6x - 5 = 1
Add 5 to both sides
6x - 5 + 5 = 5 + 1
6x = 6
Divide both sides by 6
6x/6 = 6/6
x = 1
Hence the solution to the given linear equation is x=1
learn more on linear equation here: https://brainly.com/question/14323743
#SPJ1
find 7x +y when x=7 and y=1
Answer:
7x+y
7(7)+1
49+1
50
Step-by-step explanation:
please mark me as brainlest
Answer:
7x + y
x=7 y=1
7(7) + 1
49 + 1
= 50
An angle measures 37*. What is the measure of its supplement?
Answer:
143°
Step-by-step explanation:
supplementary angles are angles that combine to form a straight line (and we know that a straight line = 180 degrees)
you can think of an angle as needing another angle to "supplement" it into being a full line.
So, we know that one angle = 37°
And that: one angle + supplementary angle = 180 degrees
37° + x = 180°
- 37 -37
x = 143
So, the measure of this angle's supplement is 143°
hope this helps!!
Answer:
143 degrees
Step-by-step explanation:
180 - 37 = 143
a u.s dollar bill remains in circulation about 1 1/4 years. A u.s coin is in circulation about 22 1/2 times longer. About how long is a coin circulation brainly
Answer:
28.125
Step-by-step explanation:
22.5×1.25=28.125
Answer:
28 1/8
Step-by-step explanation:
1.25 x 22.5 = 28.125
a die is tossed twice and the number of dots facing up in each toss is counted and noted in the order of occurrence. (a) find the sample space. (b) find the set a corresponding to the event “number of dots in first toss is not less than number of dots in second toss.” (c) find the set b corresponding to the event “number of dots in first toss is 6.” (d) does a imply b or does b imply a? (e) find and describe this event in words. (f) let c correspond to the event “number of dots in dice differs by 2.”
A die is tossed twice and a number of dots facing up in each toss are counted and noted in the order of occurrence.
a) The sample space is given as:
Sample Space (S)= {(1,1), (1,2), (1,3), (1,4), (1,5), (1,6), (2,1), (2,2), (2,3), (2,4), (2,5),(2,6),(3,1),(3,2),(3,3)(3,4),(3,5),(3,6),(4,1),(4,2),(4,3),(4,4),(4,5),(4,6),(5,1)(5,2)(5,3),(5,4),(5,5),(5,6),(6,1),(6,2),(6,3),(6,4),c),(6,6)}.
What is the sample space?A sample space is a collection of a set of possible outcomes of a random experiment. The sample space is represented using the symbol S.
b) the set corresponding to the event number of dots in the first toss is not less than the number of dots in the second toss.
{(6,6),(6,5)(6,3)(6,2)(6,1)(6,4),(5,1)(5,2)(5,3),(5,4),(5,5),(4,1),(4,2),(4,3),(4,4),(3,1),(3,2), (2,1), (2,2),(1,1)}
c) find the set b corresponding to the event number of dots in the first toss is 6.
{(6,1),(6,2),(6,3),(6,4),c),(6,6)}.
e) a does not imply b or does b imply a.
To learn more sample spaces visit:
https://brainly.com/question/10558496
#SPJ1
7 of 9 For each 48 mm of coloured fabric Fiona uses to make her curtains, she also uses 1.2 cm of white fabric. Express the amount of white fabric to coloured fabric as a ratio in its simplest form. 7 of 9 For each 48 mm of coloured fabric Fiona uses to make her curtains , she also uses 1.2 cm of white fabric . Express the amount of white fabric to coloured fabric as a ratio in its simplest form
Answer:
amount of coloured fabric in mm = 48
amount of white fabric in mm = 12
ratio = white fabric : coloured fabric = 12 : 48 = 1:4
