SOLUTION:
Step 1:
In this question, we are given the following:
\(7x\text{ + 5 - 2 x = 2 x- 7}\)Step 2:
The details of the solution are as follows:
\(\begin{gathered} 7\text{ x - 5 - 2 x = 2 x - 7} \\ 5x\text{ - 5 = 2x - 7} \\ collecting\text{ like terms, we have that:} \\ 5\text{ x - 2x = - 7 - 5} \\ 3\text{ x = - 12} \\ Divide\text{ both sides by 3, we have that:} \\ x\text{ =}\frac{-12}{3} \\ x\text{ = - 4 \lparen OPTION C \rparen} \end{gathered}\)CONCLUSION:
The final answer is:
\(x\text{ = - 4 \lparen OPTION C\rparen}\)
what is the derivative of 5(x+2)
Answer:
5
Step-by-step explanation:
d(5(x+2))/dx
d(5x+10)/dx
d(5x)/dx + d(10)/dx
5+0
5
25 POINTS!!!
What shape can be created by the given net?
triangular prism
square pyramid
cube
rectangular prism
Answer:
It's a rectangular prism :)
Step-by-step explanation:
Well I automatically know this because,
it can't be a triangle since the left and right corners aren't angled with 3 sides like a triangle
It can't be a square pyramid because that would mean it is the shape of a triangle when folded with a square base
It can't be a cube because cubes have sides equal in length, while this shape when folded is long in length and short in width
So the answer is a rectangular prism! Rectangles have long lengths and short widths and if this shape is folded from 2D to 3D that makes it a prism.
Hope this helps! Have a meowgical day :)))
Rectangular prism shape can be created by the given net.
What is triangular prism?A triangular prism is a 3D polyhedron with three rectangular faces and two triangular faces. The 2 triangular faces are congruent to each other, and the 3 lateral faces which are in the shape of rectangles are also congruent to each other. Thus, a triangular prism has 5 faces, 9 edges, and 6 vertices.
What is square pyramid?A square pyramid is a three-dimensional geometric shape that has a square base and four triangular sides that are joined at a vertex. It is a polyhedron (pentahedron) with five faces. A square pyramid consists of a square base and four triangles connected to a vertex. Its base is a square and the side faces are triangles with a common vertex.
What is cube?A cube is a 3D solid object with six square faces and all the sides of a cube are of the same length. It is also known as a regular hexahedron and is one of the five platonic solids. The shape consists of six square faces, eight vertices, and twelve edges. The length, breadth, and height are of the same measurement in a cube since the 3D figure is a square that has all sides of the same length
What is a rectangular prism?A rectangular prism is a prism whose bases (the top face and the bottom face) are also rectangles. It has 6 faces in all, out of which there are 3 pairs of identical opposite faces, i.e., all the opposite faces are identical in a rectangular prism. It has three dimensions, length, width, and height.
A rectangular prism has 6 faces, 12 edges (sides) and 8 vertices (corners). In the 12 edges, 3 edges intersect to form right angles at each vertex.
According to the question
We can observe that the net consists of 6 faces, out of which there are 3 pairs of identical opposite faces.
A rectangular prism is a prism whose bases (the top face and the bottom face) are also rectangles. It has 6 faces in all, out of which there are 3 pairs of identical opposite faces, i.e., all the opposite faces are identical in a rectangular prism. It has three dimensions, length, width, and height.
We can say that the given net is of rectangular prism.
Option D is correct.
Thus, rectangular prism shape can be created by the given net.
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Determine whether 548 is greater than or less than 373. Then write the expression showing this using < or >.
Answer:
548 > 373
Step-by-step explanation:
548 is greater than 373 because when we compare the digits from left to right, we find that the first digit of 548 (5) is greater than the first digit of 373 (3). Therefore, we can conclude that 548 is greater than 373.
The ">" symbol is used to represent "greater than" in mathematical comparisons.
Hope this helps!
The theater was full when the movie began. Seventy-six people left
before the movie ended. One hundred twenty-four people remained.
How many people were in the theater when it was full?
The number of people were 200 in the theater when it was full.
What is a theater?
In architecture, a theatre, usually spelled theatre, is a structure or area where a play can be conducted in front of spectators. The term comes from the Greek theatron, which means "a place of seeing." The actual performance usually takes place on a stage in a theatre.
Given that, the theater was full when the movie began.
76 people leave the theater before end the movie. At the end of the movie, there is 124 people left.
Apply algebraical operation that is addition to find the required answer.
Therefore, the number of people that was present at the beginning of the movie is (76 + 124) = 200.
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Use the limit definition of the derivative to find the slope of the tangent line to the curve f(x) = 7x ^ 2 + 2x + 3 at x = 1
Answer:
16
Step-by-step explanation:
Step 1: Write down the function \(f(x)=7x^2+2x+3.\)
Step 2: Write down the limit definition of the derivative:
\(f'(x)= lim_{h0} \frac{f(x+h)=f(x)}{h} .\)
Step 3: Substitute the function \(f(x)\) into the limit definition:
\(f'(x)=lim_{h0} \frac{(7(x+h)^2+2(x+h)+3)-(7x^2+2x+3)}{h}.\)
Step 4: Simplify the expression inside the limit:
\(f'(x)=lim_{h0}\frac{7x^2+14xh+7h^2+2x+2h+3-7x^2-2x-3}{h} .\)
Step 5: Combine like terms:
\(f'(x)=lim_{h0} \frac{14xh+7h^2+2h}{h} .\)
Step 6: Factor out an \(h\) from the numerator:
\(f'(x)=lim_{h0} \frac{h(14x+7h+2h}{h} .\)
Step 7: Cancel out the \(h\) in the numerator and denominator:
\(f'(x)=lim_{h0}(14x+7h+2).\)
Step 8: Evaluate the limit as \(h\) approaches 0:
\(f'(x)=14x+2.\)
Step 9: Substitute \(x=1\) into the derivative:
\(f'(1)=14(1)+2=14+2=16.\)
The Slope of the tangent line to the curve \(f(x)=7x^2+2x+3\) at \(x=1\) would be \(16.\)
Find the area of the triangle in terms of the variable y if the base of the triangle is (4y - 6) meters and the height is (8y + 5) meters. Enter your answer in standard form, ay2 + by + c.
16y²-14y -15
1) Let's visualize this to better understand
2) Now let's plug that into the Triangle's area formula:
\(\begin{gathered} S=\frac{b\cdot h}{2} \\ S=\frac{(4y-6)(8y+5)}{2} \\ S=\frac{32y^2+20y-48y-30}{2} \\ S=\frac{32y^2-28y-30}{2} \\ S=\frac{32y^2}{2}-\frac{28y}{2}-\frac{30}{2} \\ S=16y^2-14y-15 \end{gathered}\)3) SO the answer is S=16y²-14y -15
a flag measures 90
feet by 60 feet. What is the perimeter of
this flag?
J is the midpoint of CT
J
T
If:
CJ = 2x – 1 and
JT = 82 – 43
Find CT.
Answer:
78
Step-by-step explanation:
JT = half the distance so JT x 2 = CT
JT = 39
39 x 2 = 78
как решить это уравнения,,×-3=6
Answer:
9
Step-by-step explanation:
Данный,
=> x - 3 = 6
=> x = 6 + 3
=> x = 9 (Отвечать)
Which statement is true about a line and a point? (1 point) a A point and a line have length as a dimension to measure. b A point is a location, and a line has many points located on it. c A line and a point cannot lie on the same plane. d A line and a point cannot be collinear.
Answer: B.A point is a location, and a line has many points located on it.
Step-by-step explanation:
Black Diamond Ski Resort charges $50 for ski rental and $15 an hour to ski. Bunny Hill Ski Resort charges $75 for ski rental and $10 an hour to ski. Create an equation to determine at what point the cost of both ski slopes is the same. 15x − 75 = 10x − 50 15x − 50 = 10x − 75 15x + 50 = 10x + 75 15x + 75 = 10x + 50
Answer:
The cost of 5 hours of skiing would be the same ($125) after 5 hours.
Step-by-step explanation:
Black Diamond: ChargeBD(h) = $50 + ($15/hr)h, where h is the number of hours spent skiing.
Bunny Hill: ChargeBH(h) = $75 + ($10/hr)h
We equate these two formulas to determine when the cost of using the ski slopes is the same:
ChargeBD(h) = $50 + ($15/hr)h = ChargeBH(h) = $75 + ($10/hr)h
We must now solve for h, the number of hours spent skiing:
50 + 15h = 75 + 10h
Grouping like terms, we obtain:
5h = 25, and so h = 5 hours.
The cost of 5 hours of skiing would be the same ($125) after 5 hours.
Part A: Maci made $170 grooming dogs one day with her mobile dog grooming business. She charges $60 per appointment and earned $50 in tips. Write an equation to represent this situation and solve the equation to determine how many appointments Maci had.
Part B: Logan made a profit of $235 as a mobile groomer. He charged $75 per appointment and received $40 in tips, but also had to pay a rental fee for the truck of $10 per appointment. Write an equation to represent this situation and solve the equation to determine how many appointments Logan had.
Maci and 2 appointments and Logan had 3 appointments.
How many appointments did Maci and Logan have?The linear equation that represents the total amount earned by Maci is:
Total amount earned = (amount per appointment x number of appointments) + tips
$170 = ($60 x a) + $50
$170 = $60a + $50
$170 - $50 = $60a
$120 = $60a
a = $120 / $60
a = 2
The linear equation that represents the total amount earned by Logan is:
Profit = total revenue - total cost
Profit = (fee per appointment x number of appointments) + amount received in tips - (rental fee x number of appointments)
$235 = ($75 x a) + $40 - ($10 x a)
$235 = $75a + $40 - $10a
$235 = $65a + $40
$235 - $40 = $65a
$195 = $65a
a = $195 / 65
a = 3
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Make a frequency table using five classes.
class 31-38 39-46 47-54 55-62 63-70
f
11
24
15
7
3
Then estimate the mean and sample standard deviation using the frequency table. (Round s to two decimal places.)
Answer: C
Step-by-step explanation:
in the number 234.567 in the whole numbers place is _____________?
Select the correct answer from each drop-down menu.
The area of the shaded square is
square inches. The length of the unshaded rectangle is
inches.
The estimated value of the length of the shaded square is
inches. The estimated value of the area of the unshaded rectangle is
square inches.
The completed statement with regards to the area of the square and the rectangle are;
The estimated value of the length of the shaded square is 5·√5 inches. The estimated value of the area of the unshaded rectangle is 175 square inches.
What is the area of a square?The area of a square is the product of the side lengths which are congruent, therefore;
Area of a square = Side length, s × Side length, s = s²
The possible figure in the question includes;
A shaded square that is 125 square inches
An adjacent unshaded rectangle, that share a side with the square that has a side length of 7·√5 inches
Please find attached the possible drawing of the figure in the question, (not drawn to scale) obtained from a similar question posted online, created with MS Word.
Therefore;
The side length of the square = √(125) inches = 5·√5 inches
The estimated value of the side length of the square is; 5·√5 inches
The area of a rectangle = Length × Width
The length of the rectangle = 7·√5 inches
The width of the rectangle = 5·√5 inches
Therefore;
The area of the unshaded rectangle, therefore is; 5·√5 × 7·√5 = 175
The estimated area of the unshaded rectangle is 175 square inches
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(I.5)
Write the sentence as an equation.
148 is equal to 12 minus z
Type a slash ( / ) if you want to use a division sign.
Answer:
the verbal sentence so it is easier to translate. ... 12 equals p divided by. 4 n. 2. +. 12. = p. ÷. 4. 4. Half of j minus 5 is the sum of k and 13.
Step-by-step explanation:
The measure of an angle is 166º. What is the measure of its supplementary angle?
HELP PLZZ
Answer:
14
Step-by-step explanation:
To make 166 a supplementary angle you should add 14 because supplementary angles equal 180.
Answer:
14
Step-by-step explanation:
Supplementary angles add to 180 degrees.
Let x be the unknown supplement
x+166 = 180
x+166-166 = 180-166
x =14
The unknown supplement is 14
Which pair of angles are interior angles?
1 stone = 14 pounds to convert 11 stones into pounds.
Answer:
Step-by-step explanation:
1 stone = 14 pounds
To convert 11 stones into pounds = 11 * 14
= 154 pounds
Unit rate:-
1stone=14lbsTotal stones=11
Total weight
11(14lbs)154lbsA computer password contains six characters but does not permit repetition of any characters (either letters or numbers). If uppercase and lowercase letters are used, how many possible passwords are there?
Answer:
\(\frac{62!}{56!}\)
Step-by-step explanation:
We can either look at all 62 characters (2 * 26 in the alphabet and 10 digits), choose 6 of them, and add the fact that we care about their order - so multiply by 6! and we get \(\binom{62}{6}\cdot 6! = \frac{62!}{6!\cdot 56!} \cdot 6! = \frac{62!}{56!}\)
Or, we can look atr all the permutations of all the characters and take into account that we DON'T care about the order of the 56 after the first six. Getting \(\frac{62!}{56!}\) immediately.
Which expression is equivalent to (4.3x + 4)(-1.8x)?
A.-4.14x² +0.08x
B.-7.74x2 - 7.2
C.-7.74x² - 7.2x
D.-7.74x² + 7.2x
PLSSS ANSWER QUICK
Step-by-step explanation:
jsjsnsnsnnsnskskskskskskwwkwkkww
In a city, the temperature changes by −2.3 degrees each hour for 4 hours.
Answer: 9.2 degrees
Step-by-step explanation:
2.3*4=9.2
A rectangular room is 1.3 times as long as it is wide, and its perimeter is 27 meters. Find the dimension of the room.
The dimensions of the room are approximately 5.87 meters by 7.63 meters.
Let's assume the width of the room is "x" meters.
According to the problem, the length of the room is 1.3 times the width, so the length would be 1.3x meters.
The perimeter of a rectangle is calculated by adding the lengths of all four sides. In this case, the perimeter is given as 27 meters.
Perimeter = 2(length + width)
Substituting the values we know:
27 = 2(1.3x + x)
Simplifying:
27 = 2(2.3x)
27 = 4.6x
Dividing both sides by 4.6:
x = 27 / 4.6
x ≈ 5.87
The width of the room is approximately 5.87 meters.
To find the length, we can multiply the width by 1.3:
Length = 1.3 * 5.87 ≈ 7.63
The length of the room is approximately 7.63 meters.
Therefore, the dimensions of the room are approximately 5.87 meters by 7.63 meters.
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Please answer this question !! Will give brainliest !
Answer & Step-by-step explanation:
In order to find the y-intercept of this equation, we must turn this equation into a slope-intercept equation. The equation for slope-intercept form is y=mx+b. We can do this by using these steps. Our goal is to get y by itself on one side.
6x - 2y - 9 = 0
Step 1: Add 9 on both sides of the equation.
6x - 2y = 9
Step 2: Subtract 6x on both sides of the equation. Once you subtract, make sure you put the -6x in front of 9 so we are following the rules of variables and exponents.
-2y = -6x + 9
Step 3: Divide -2 on both sides of the equation.
y = 3x - \(\frac{9}{2}\)
So, the y-intercept is -\(\frac{9}{2}\)
Determine The missing number in the equation
3 + 9= +4
3 + 9 = 12/3 = positive 4 the missing number in the equation is 12/3.
What is the equation of the line that passes through (-3,-1) and has a slope of 2/5? Put your answer in slope-intercept form
A: y= 2/5x -1/5
B: y= 2/5x +1/5
C: y= -2/5x -1/5
Answer:
y = 2/5x + 1/5
Step-by-step explanation:
y = 2/5x + b
-1 = 2/5(-3) + b
-1 = -6/5 + b
1/5 = b
Please help me the question
The polynomials completely factorized have the following expressions;
50). x³ - 3x² - 26x - 12 = (x - 6)(x + 1)(x + 2)
51). x³ - 12x² + 12x + 80 = (x - 10)(x + 2)(x - 4)
52). x³ - 18x² + 95x + 126 = (x - 9)(x - 2)(x - 7)
53). x³ - x² + 21x + 45 = (x + 5)(x - 3)(x - 3)
How to factorise the polynomials completelyFor the polynomial x³ - 3x² - 26x - 12 divisible by x - 6;
(x³ - 3x² - 26x - 12)/(x - 6) = x² + 3x + 2
x² + 3x + 2 = (x + 1)(x + 2)
so;
x³ - 3x² - 26x - 12 = (x - 6)(x + 1)(x + 2)
For the polynomial x³ - 12x² + 12x + 80 divisible by x - 10;
(x³ - 12x² + 12x + 80)/(x - 10) = x² - 2x - 8
x² - 2x - 8 = (x + 2)(x - 4)
so;
x³ - 12x² + 12x + 80 = (x - 10)(x + 2)(x - 4)
For the polynomial x³ - 18x² + 95x + 126 divisible by x - 9;
(x³ - 12x² + 12x + 80)/(x - 9) = x² - 9x + 14
x² - 9x + 14 = (x - 2)(x - 7)
so;
x³ - 18x² + 95x + 126 = (x - 9)(x - 2)(x - 7)
For the polynomial x³ - x² + 21x + 45 divisible by x + 5;
(x³ - x² + 21x + 45)/(x + 5) = x² - 6x + 9
x² - 6x + 9 = (x - 3)(x - 3)
so;
x³ - x² + 21x + 45 = (x + 5)(x - 3)(x - 3)
Therefore, by complete factorization the expressions (x - 6)(x + 1)(x + 2), (x - 10)(x + 2)(x - 4), (x - 9)(x - 2)(x - 7), and (x + 5)(x - 3)(x - 3) are the factors of their respective polynomial.
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Anne and chima are to share a sum of money in ratio 4:1.Anne obtains #6000.what is chima's share?
Answer:
Chima would obtain 1200
During halftime of a basketball game, a sling shot launches T-shirts at the crowd. A T shirt is launched from a heigh of 4 feet with an initial upward velocity of 72 feet per second. Use the equation h(t)= -16t^2+72t+4, where t is time in seconds and h(t) is height. How long will it take the T shirt to reach its maximum height? What is the maximum height?
During halftime of a basketball game, a slingshot launches T-shirts at the crowd.
it takes the T-shirt 9/4 secondsThe maximum height of the T-shirt is 77 feet.What is the maximum height?
Generally, To find the time it takes the T-shirt to reach its maximum height, we need to find the time when the height of the T-shirt stops increasing and starts decreasing. At this point, the velocity of the T-shirt will be 0, since it is not moving up or down.
The velocity of the T-shirt at any time t can be found by taking the derivative of the equation for height:
v(t) = dh/dt = -32t + 72
Setting the velocity to 0 and solving for t, we get:
0 = -32t + 72 32t = 72 t = 72/32 t = 9/4
So it takes the T-shirt 9/4 seconds, or approximately 2.25 seconds, to reach its maximum height.
To find the maximum height, we plug this value back into the equation for height:
h(t) = -16(9/4)^2 + 72(9/4) + 4 h(t) = -81 + 162 + 4 h(t) = 77
The maximum height of the T-shirt is 77 feet.
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What is the additive inverse of 1.001
Answer:
-1.001
Step-by-step explanation: