The value of the resulting expression is 3
Solving expressionsGiven the following expression as shown below;
3 (22-3-7)
According to the pemdas rule, the multiplication will come first inside the parenthesis
3 (22-3-7) = 3(22 - (21))
3 (22-3-7) = 3(22- 21)
Take the difference of the expression in parenthesis
3 (22-3-7) = 3(1)
Take the product of the result
3 (22-3-7) = 3
Hence the value of the resulting expression is 3
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The sugar sweet company will choose from two companies to transport it's sugar to market the first company charges $4894 to rent trucks plus an additional fee of $175.75 for each ton of sugar the second company charges $5500 to rent trucks plus an additional fee of $125.25 for each ton of sugar
The sugar sweet company will choose from two companies to transport it's sugar to market the first company charges $4894 to rent trucks plus an additional fee of $175.75 for each ton of sugar the second company charges $5500 to rent trucks plus an additional fee of $125.25 for each ton of sugar
Answer: 12
Find the value of x. Give reasons to justify your answer.
Divide and simplify.
(-7)+(-7)
=
Step-by-step explanation:
=-7-7
=-14
HOPE THIS HELPS
What is the "quotient" of two numbers?
Answer:
Result of a division
Step-by-step explanation:
Example
x / y = z
z is the quotient
Which of the following graphs matches the table above
Answer:
can you please take a picture so i can try to solve it
Step-by-step explanation:
if you do thank you
A recipe for fruit salad includes
cups of grapes for 4 servings. How many cups of grapes are needed for 30 servings of this fruit salad? {7.4D}
Answer:
u need to tell me how many cups of grapes are used for 4 servings for me to be able to answer this
Step-by-step explanation:
An architect has designed two tunnels. Tunnel A is modeled by x2 + y2 + 28x + 52 = 0, and tunnel B is modeled by x2 – 36x + 16y + 68 = 0, where all measurements are in feet. The architect wants to verify whether a truck that is 8 feet wide and 13.5 feet high can pass through the tunnels.
Part A: Write the equation for Tunnel A in standard form and determine the conic section. Show your work. (4 points)
Part B: Write the equation for Tunnel B in standard form and determine the conic section. Show your work. (4 points)
Part C: Determine the maximum height of each tunnel. Is the truck able to pass through either tunnel without damage? If so, which tunnel(s) and why? Show your work. (7 points)
From the situation described, we have that:
a) Tunnel A is a circle with center (-14, 0) and radius 12, meaning that both the width and the height are of 12.
b) Tunnel B is a parabola that has a width of 32 feet and a height of 16 feet.
c) The maximum height of Tunnel A is of 12 feet and of Tunnel B is of 16 feet, hence, since the height of the truck is of 13.5 feet, it can pass through Tunnel B without damage, as it's height is greater than 13.5 feet.
What is the equation of a circle?The equation of a circle of center [tex](x_0, y_0)[/tex] and radius r is given by:
[tex](x - x_0)^2 + (y - y_0)^2 = r^2[/tex]
For Tunnel A, the equation is given by:
x² + y² + 28x + 52 = 0
Completing the squares:
(x + 14)² + y² = -52 + 14²
(x + 14)² + y² = 144.
Hence:
Tunnel A is a circle with center (-14, 0) and radius 12, meaning that both the width and the height are of 12.
What is the vertex of a quadratic equation?A quadratic equation is modeled by:
y = ax^2 + bx + c
The vertex is given by:
[tex](x_v, y_v)[/tex]
In which:
[tex]x_v = -\frac{b}{2a}[/tex][tex]y_v = -\frac{b^2 - 4ac}{4a}[/tex]For Tunnel B, the equation is given as follows:
x² - 36x + 16y + 68 = 0.
16y = -x² + 36x - 68.
Simplifying by 16:
y = -0.0625x² + 2.25x - 4.25.
Hence the coefficients are a = -0.0625, b = 2.25, c = -4.25, and the maximum height is:
[tex]y_v = -\frac{(2.25)^2 - 4(-0.0625)(-4.25)}{4(-0.0625)} = 16[/tex]
The width is the difference between the roots, which, using a calculator, are:
2 and 34, hence the width is of 32 feet.
Then:
Tunnel B is a parabola that has a width of 32 feet and a height of 16 feet.
For item c, we have that:
The maximum height of Tunnel A is of 12 feet and of Tunnel B is of 16 feet, hence, since the height of the truck is of 13.5 feet, it can pass through Tunnel B without damage, as it's height is greater than 13.5 feet.
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Is the work below correct? If not, explain the mistake
Answer:
the answer is correct just switch the sign to less than or equal to
Step-by-step explanation:
1. What is the place value of the 9 in 0.964?*
Answer:
0.9
Step-by-step explanation:
remove all the other digits OR
divide by ten after the d. p.
Write the equation in slope-intercept form of the line that passes through the points (5,4) and (1−6,)
Answer:
y = 5/2x - 17/2
Step-by-step explanation:
First, find the slope of the equation by using the slope formula:
m = (y2 - y1) / (x2 - x1)
m = (-6 - 4) / (1 - 5)
m = 10/4
m = 5/2
Next, find the y-int by plugging in one of the two points into the equation we have so far:
y = 5/2x + b
(5, 2)
4 = 5/2(5) + b
4 = 25/2 + b
4 - 25/2 = b
b = -17/2
Now you have your final equation:
y = 5/2x - 17/2
Answer:
[tex]y=\frac{5}{2}x-\frac{17}{2}[/tex]
Step-by-step explanation:
Slope-Intercept Form: y = mx + b
Points: (5, 4), (1, -6)
Slope (Calculated): [tex]\frac{5}{2}[/tex]
[tex]y = \frac{5}{2}x+b[/tex]
[tex]-6 = \frac{5}{2}(1)+b[/tex]
[tex]b=-\frac{17}{2}[/tex]
[tex]y=\frac{5}{2}x-\frac{17}{2}[/tex]
What is the diameter of a hemisphere with a volume of 8514 cm', to the nearest
tenth of a centimeter?
Answer:
32.0 cm
Step-by-step explanation:
volume of a hemisphere = (2/3)πr3
r = cube root (Volume * 3/2 * 1/π )
r = cube root ( 8514 * 3/2 * 1/π)
r = 15.96
in the nearest tenth r = 16.0 cm
D= 2r
D= 2(16)
D= 32cm
Answer: 31.9 cm
Step-by-step explanation:
Got it from deltamath so it's right
halo me please I don't know what to do
Solve the inequality and express your answer in interval notation. x² + 8x + 3 < 0
Answer:
Convert the inequality to an equation.
x2+8x+3=0" role="presentation" style="outline: 0px; display: inline-block; line-height: 0; text-indent: 0px; text-align: left; text-transform: none; font-style: normal; font-weight: normal; font-size: 15.47px; letter-spacing: normal; overflow-wrap: normal; word-spacing: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; margin: 0px; padding: 1px 0px; position: relative;">x2+8x+3=0x2+8x+3=0
Use the quadratic formula to find the solutions.
-b±b2-4(ac)2a" role="presentation" style="outline: 0px; display: inline-block; line-height: 0; text-indent: 0px; text-align: left; text-transform: none; font-style: normal; font-weight: normal; font-size: 15.47px; letter-spacing: normal; overflow-wrap: normal; word-spacing: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; margin: 0px; padding: 1px 0px; position: relative;">−b±√b2−4(ac)2a-b±b2-4(ac)2a
Substitute the values a=1" role="presentation" style="outline: 0px; display: inline-block; line-height: 0; text-indent: 0px; text-align: left; text-transform: none; font-style: normal; font-weight: normal; font-size: 17.03px; letter-spacing: normal; overflow-wrap: normal; word-spacing: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; margin: 0px; padding: 1px 0px; position: relative;">a=1a=1, b=8" role="presentation" style="outline: 0px; display: inline-block; line-height: 0; text-indent: 0px; text-align: left; text-transform: none; font-style: normal; font-weight: normal; font-size: 17.03px; letter-spacing: normal; overflow-wrap: normal; word-spacing: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; margin: 0px; padding: 1px 0px; position: relative;">b=8b=8, and c=3" role="presentation" style="outline: 0px; display: inline-block; line-height: 0; text-indent: 0px; text-align: left; text-transform: none; font-style: normal; font-weight: normal; font-size: 17.03px; letter-spacing: normal; overflow-wrap: normal; word-spacing: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; margin: 0px; padding: 1px 0px; position: relative;">c=3c=3 into the quadratic formula and solve for x" role="presentation" style="outline: 0px; display: inline-block; line-height: 0; text-indent: 0px; text-align: left; text-transform: none; font-style: normal; font-weight: normal; font-size: 17.03px; letter-spacing: normal; overflow-wrap: normal; word-spacing: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; margin: 0px; padding: 1px 0px; position: relative;">xx.
-8±82-4⋅(1⋅3)2⋅1" role="presentation" style="outline: 0px; display: inline-block; line-height: 0; text-indent: 0px; text-align: left; text-transform: none; font-style: normal; font-weight: normal; font-size: 15.47px; letter-spacing: normal; overflow-wrap: normal; word-spacing: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; margin: 0px; padding: 1px 0px; position: relative;">−8±√82−4⋅(1⋅3)2⋅1
HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP
Answer:
just devide the 2 numbers thats there
Solve the equation algevraically and check your solution to verify it is correct. YOU MUST SHOW YOUR WORK INSIDE THE PAGE.Place your final answer in the text box below
Answer:
Explain:
in right triangle if one angle is 44 what is the third angle
Does this graph represent a function? Why or why not? 10 22 -10B2 10 8 A. No, because it fails the vertical line test. B. No, because it is not a straight line. C. Yes, because it passes the vertical line test. O D. Yes, because it has two straight lines.
Answer: I need to see the graph
Step-by-step explanation:
g(x)=|2+x |-3 graph function
The graph of the absolute value function:
g(x) = |2 + x| - 3
Can be seen at the end of this answer.
How to graph the absolute value function?Here we want to graph the absolute value function:
g(x) = |2 + x| - 3
First, we know that the vertex of this function will be at the point (-2, -3) (is at the value of x such that the absolute value part becomes zero).
From that vertex, we just draw two lines with slope 1 to the right and -1 to the left, you should get something like the graph below.
As you can see it opens upwards, because the leading coefficient is 1 (positive).
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If Analissa puts 55 seeds into 11 pots, how many seeds does she put in 4 pots?
Answer: Since she puts 5 seeds per pot, I know that she will put 20 seeds in four pots.
I got this by dividing 55/11 to get the amount of seeds in one pot.
Have a great day!
Stay safe and healthy!
Happy holiday seasons!
May I please have brainliest?
An urn contains 4 black and 5 white balls. A ball is drawn at random and then replaced, and then a second ball is drawn. Find the probability that the first is black and the second iswhite.
Answer:
[tex]Probability = 0.2470[/tex]
Step-by-step explanation:
Given
[tex]Black = 4[/tex]
[tex]White = 5[/tex]
[tex]Total = 9[/tex] i.e. 5 + 4
Required
Determine [tex]P(Black\ and\ White)[/tex]
In probability;
[tex]P(A\ and\ B) = P(A) * P(B)[/tex]
So:
[tex]P(Black\ and\ White) = P(Black) * P(White)[/tex]
i.e. multiply the probability of selecting black by that of selecting white
[tex]P(Black\ and\ White) = \frac{n(Black)}{Total} * \frac{n(White)}{Total}[/tex]
[tex]P(Black\ and\ White) = \frac{4}{9} * \frac{5}{9}[/tex]
[tex]Probability = \frac{20}{81}[/tex]
[tex]Probability = 0.2470[/tex]
please help asap will give brainliest
Answer:
of course three units ..
Georgia goes shopping with $80 to spend on food for a party. She buys 9 pizzas that all cost the same price, $20 worth of soda and $15 worth of ice cream. If she spent all of her money, what was the cost of each pizza?
Answer:
$5
Step-by-step explanation:
20+15=35
80-35=45
45 divided by 9 = 5
3/8 divided by 4????
Answer:
um Yess?
Step-by-step explanation:
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(40 points please explain your answer)
If triangle ABC is reflected over the y‐axis, reflected over the x‐axis, and rotated 180 degrees, where will point A' lie?
(−1, 2)
(−2, 1)
(1, −2)
(2, −1)
A is reflected over the y‐axis, reflected over the x‐axis, and rotated 180 degrees
A' is (-2,1)
Given :
A triangle ABC is reflected over the y‐axis, reflected over the x‐axis, and rotated 180 degrees.
The rule for reflection over y axis
(x,y) -> (-x,y)
Reflection over x axis is
(x,y) -> (x,-y)
Rotate by 180 degree
(x,y)->(-x,-y)
The point A lies on (-2,1)
Lets find the coordinate of point after reflection over y axis, x axis and rotation by 180 degree using the rules
Reflection over y axis
(-2,1) -> (2,1)
Reflection over y axis
(2,1)-> (2,-1)
Rotate by 180 degrees
(2,-1)-> (-2,1)
So A' is (-2,1)
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Which inequality is true when the value of U is 17
PLZ HELP!!
A family is trying to decide between two apartments, before signing a lease agreement they
are considering the cost compared to the size of the apartment. Apartment A is 1,500 square
feet for a monthly rent of $2,875 and Apartment B is 1,200 square feet for a monthly rent of
$2,425. Based on this information which apartment costs the least per square foot?
A. Apartment A
B. Apartment B
Which graph shows the solution to the systern of linear inequalities? x+3y>6 y>2x+4
Answer: y>2x+4
Step-by-step explanation:
You are making a colorful cake for a birthday party and need to use 2 drops of food coloring for every 7 ounces of icing. How many drops of food coloring do you need if you are using
63 ounces of icing?
Answer:
18 drops of icing
Step-by-step explanation:
Well, for every 7 ounces of icing, there is 2 drops of food coloring. You must first figure out how many times 7 goes into 63.
63 ÷ 7 = 9
Ok, so 7 goes into 63, 9 times. And now you just need to double 9, because "for every 7 ounces of icing there is 2 drops of food coloring" Basically means you just double your answer. So, by doubling 9, you get 18. Therefore, there are 18 drops of food coloring in 63 ounces of icing.
63 ÷ 7 = 9
9 × 2 = 18
18 drops of food coloring
Write a function to convert Celsius to Fahrenheit using F=(9/5)C+32. Find the Fahrenheit value when C=56.7 and when C=−89.2. (The record high and low temperatures ever recorded on Earth.)
If x is the given temperature in Celsius, the function to return the equivalent temperature in Fahrenheit it:
f(x) = 9 / 5 * x + 32
f(x) = 9/5x + 32
f(x) = 9/5 * (x + 32)
f(x) = 9/5c + 32
The value in Fahrenheit at C=56.7 (a record high) is:
?
The value in Fahrenheit at C=−89.2 (a record low) is:
?
Using your function, f(C), to convert Celsius to Fahrenheit, compare the difference at C=20 between the function value and the simpler function: g(C)=2C+30. (In other words, is "double and add 30" a reasonable approximation?)
The difference f(C)−g(C) at C=21 (approximate room temperature) is:
?
The function used to convert Celsius to Fahrenheit is: 5/9(F - 32)
The Fahrenheit value when C = 56.7 is: 134.06
and when C = 89.2, F = -128.56, as found by basic algebra. If x is the given temperature in Celsius, the function used to return the equivalent temperature in Fahrenheit is: f(x) = 9 / 5 * x + 32 (Option A).
What is basic algebra?Numbers, variables, constants, expressions, equations, linear equations, and quadratic equations are all part of the basics of algebra. Additionally, the algebraic expressions contain the basic arithmetic operations of addition, subtraction, multiplication, and division.(1)
Given:
F = 9/5 × (C) + 32
F - 32 = 9/5 × (C)
5/9 × (F-32) = C(2)
For C = 56.7, in the above formula, by basic algebra, we get:
F = 9/5 × (56.7)+32
F = 102.06 + 32
F = 134.06
For C = -89.2, by basic algebra,
we get: F = (9/5) × (-89.2)+32
F = -160.56 + 32
F = -128.56(3)
We are given:
F = 9/5 (C) + 32
If f(x) represents the temperature in Fahrenheit, we get:
f(x) = 9/5 (C) + 32,
which is equivalent to Option A.
Hence, (1) The function used to convert Celsius to Fahrenheit is:
9/5(F-32)
(2) The Fahrenheit value when C = 56.7 is: 134.06 and when C = 89.2, F = -128.56, as found by basic algebra.
(3) If x is the given temperature in Celsius, the function used to return the equivalent temperature in Fahrenheit is: f(x) = 9 / 5 * x + 32 (Option A).
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Six more than seven times a number equals 10 times the number -12
Answer:
The equation becomes
[tex]7x+6 = 10x-12[/tex]
Thus, the number = x = 6
Step-by-step explanation:
Let 'x' the number
seven times a number = 7x
Six more than seven times a number = 7x+6
10 times the number -12 = 10x-12
Given that Six more than seven times a number equals 10 times the number -12.
Thus, the equation becomes
[tex]7x+6 = 10x-12[/tex]
We can further solve for x
[tex]7x+6 = 10x-12[/tex]
[tex]6+12 = 10x-7x[/tex]
[tex]18 = 3x[/tex]
[tex]x = 6[/tex]
Thus, the number = x = 6