40
Step-by-step explanation:
[tex]{ \red{ \tt{given \: }}} \: :- \: { \green{ \tt{x = - 3}}}[/tex]
Then, Substitute the value of "x" in this below equation..
[tex]{ \orange{ \tt{ {x}^{2} - 7x + 10}}}[/tex]
[tex]{ \orange{ \tt{ {( - 3)}^{2} - 7( - 3) + 10}}}[/tex]
[tex]{ \orange{ \tt{9}}} \: + \: { \orange{ \tt{21}}} \: + \: { \orange{ \tt{10}}}[/tex]
[tex] = { \orange{ \tt{40}}}[/tex]
S 2. Let f(x) = x - k√x
a. Find a value of k such that the function has a critical point at x = 25.
b. Is the above critical point a local maximum, local minimum or neither? Show calculus to support your answer.
a. A critical point at x = 25 would mean f'(25) = 0 or doesn't exist. We have derivative
[tex]f(x) = x - k \sqrt x \implies f'(x) = 1 - \dfrac k{2\sqrt x}[/tex]
so that
[tex]f'(25) = 1 - \dfrac k{2\sqrt{25}} = 1 - \dfrac k{10} = 0 \implies \boxed{k=10}[/tex]
b. Taking the second derivative, we get
[tex]f''(x) = \dfrac k{4 x^{3/2}} = \dfrac5{2 x^{3/2}}[/tex]
At x = 25, the second derivative has a positive sign,
[tex]f''(25) = \dfrac 5{2 \times 25^{3/2}} = \dfrac 5{2\times5^3} = \dfrac1{50} > 0[/tex]
which means f(x) is concave upward around x = 25, so this critical point is a local minimum.
3 yards 5 feet 6 inches x 7=
Answer:
1218 inches
Step-by-step explanation:
First, let's make our numbers equivalent to a certain unit. Preferably inches, since we can't turn inches into yards or feet, but we can turn yards and feet into inches.
3 yards is 9 feet, which when multiplied by 12 (12 inches in a foot) is 108.
5 feet times 12 is 60 inches.
6 inches is 6 inches.
108+60+6 is 174
Multiply all that by 7 and you get your answer of 1218 inches.
Hope this helps!
what is 232 + 88+ 61 =
Answer:
381
Step-by-step explanation:
232 + 88 = 320
320 + 61 = 381
Hope this helped and brainliest please
What is true about the solution to the system of inequities shown?
-2 -5-4-3-2-1, y≤x-1 y≤ x-3 O All values that satisfy y ≤ x-1 are solutions. All values that satisfy y ≤x-3 are solutions. O All values that satisfy either y≤ x-1 or y≤ x-3 are solutions. There are no solutions. Save and Exit Mark this and return V Next Sube
The true solution to the system of inequities shown is B; All values that satisfy [tex]y \leq \dfrac{ 1}{3}x - 3[/tex] are solutions.
What is a system of inequalities?When mathematical expressions are compared, with non-strict equality, then such mathematical statements are called mathematical inequalities.
A collection of inequalities for which we consider a common solution for all inequalities is called a system of inequalities.
If the equation or inequality contains variable terms, then there might be some values of those variables for which that equation or inequality might be true.
A set of such values is called a solution set to the considered equation or inequality.
The true solution to the system of inequities shown is B;
All values that satisfy [tex]y \leq \dfrac{ 1}{3}x - 3[/tex] are solutions.
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What’s the result of adding these two equations? Please help
Answer:
u should subract those not add
Worth 20 points! Drag each length to the correct location on the triangle. Each length can be used more than once, but not all lengths will be used.
What are the missing side lengths for triangle ABC?
(file is attached below!
The value of the perpendicular is 12 and the hypotenuse is 8√3.
What is trigonometry?The branch of mathematics sets up a relationship between the sides and the angles of the right-angle triangle is termed trigonometry.
The value of the sides will be calculated as:-
The perpendicular side will be calculated by using tan theta.
tan Ф = Perpendicular / BAse = P / 4√3
P = 4√3 x tan(60)= 4 √3 x √3 =12
The value of the hypotenuse will be calculated by using the Cos angle:-
Cos 60 = Base \ Hyputenuse.
Cos 60 = 4√3 / Hypotenuse
1 / 2 = 4√3 / Hypotenuse
Hypotenuse = 2 x 4 x √3 = 8√3
Therefore the value of the perpendicular is 12 and the hypotenuse is 8√3.
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Enter the correct answer in the box. Write the sum of 12√23x13 + 14√23x13 in simplest form, if x > 0.
Answer:
26x^6 sqrt 23x
Step-by-step explanation:
Find c. Give your answer in
the simplest form.
c = [?]V []
d
7V2
a
45
30
b
C
Enter the number that belongs in
the green box.
Answer:
see the attachment photo!
what percentage of 2m is 40cm
Answer:
20%
Step-by-step explanation:
the units of measure must be the same, so
2m = 2 × 100 cm = 200 cm
then
[tex]\frac{40}{200}[/tex] × 100%
= 0.2 × 100%
= 20%
Answer:
20%
Step-by-step explanation:
2 m = 200 cm We are required to find: what percentage of 2m is 40cm.Required percentage [tex]=\frac{40}{200}\times 100[/tex]Required percentage [tex]=\frac{4000}{200}[/tex]Required percentage [tex]=20%[/tex]Can u help me pls i will be putting some more problems
look the image
Step-by-step explanation:
2x + 28° + 90° = 180° ( The sum of all angle of triangle is 180° )
Now you may add 28° and 90° and subtract it from 180° ...
2x = 62° ..
Now...divide 62 by 2 ...
x = 31°
hence the value of x is 31°....
the lenghts of five boxes are shown in the table which line plot shows the data from the table
Answer:
The bottom right line plot.
Step-by-step explanation:
In the table, 9 1/4 shows up twice. This can be represented in the line plot by putting 2 x's over the 9 1/4 point.
19
Select the correct answer.
A developer buys an empty lot to build a small house. What is the area of the lot?
Area of the plot = 193 sq.yd. , Option B is the correct answer.
What is Area ?
Area is the space occupied by a flat surface or an object .
It is measured in square units
It has wide daily life importance like in the question mentioned , a plot will be measured in area of the space.
It is given that
A developer buys an empty lot to build a small house.
area of the lot = ?
The figure is incomplete and the complete figure is attached with the answer.
To determine the area the figure needs to be divided into triangles and rectangles as shown in the figure
Area of the first triangle = (1/2) * base * height
By Calculation
base = 17 unit and height = 10 unit
= (1/2) * 17 * 10
= 17*5
=85 sq.unit
Area of the second triangle = (1/2)* 9* 8
=36 sq. unit
Area of the rectangle = base * height
base = 9 unit and height = 7 unit
Area = 9*7= 63 sq.unit
Area of the last triangle = (1/2) * 2*9
= 9 unit
The area of the plot = 85+36+63+9
Area of the plot = 193 sq.yd.
Therefore , Option B is the correct answer.
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Answer:
Step-by-step explanation:
Area of the plot = 193 sq.yd. , Option B is the correct answer.
What is Area ?
Area is the space occupied by a flat surface or an object .
It is measured in square units
It has wide daily life importance like in the question mentioned , a plot will be measured in area of the space.
It is given that
A developer buys an empty lot to build a small house.
area of the lot = ?
The figure is incomplete and the complete figure is attached with the answer.
To determine the area the figure needs to be divided into triangles and rectangles as shown in the figure
Area of the first triangle = (1/2) * base * height
By Calculation
base = 17 unit and height = 10 unit
= (1/2) * 17 * 10
= 17*5
=85 sq.unit
Area of the second triangle = (1/2)* 9* 8
=36 sq. unit
Area of the rectangle = base * height
base = 9 unit and height = 7 unit
Area = 9*7= 63 sq.unit
Area of the last triangle = (1/2) * 2*9
= 9 unit
The area of the plot = 85+36+63+9
Area of the plot = 193 sq.yd.
Therefore , Option B is the correct answer.
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what is the product of -2/7and-3/7
Step-by-step solution.2/7 × 3/7=?
For fraction multiplication, multiply the numerators and then multiply the denominators to get
2×37×7 =6/49
This fraction cannot be reduced.
Therefore:
2/7×3/7=6/49
Solution by formals.
Apply the fractions formula for multiplication, to
2/7×3/7
and solve
2×37×7=6/49
Therefore:
2/7×3/7=6/49
Bryannasalaz
logan trades 50 pennies for nickels he gets a nickel for each group of 5 pennies what equation can be used to find how many nickels logan uses
The equation that can be used to find how many nickels logan uses is: 50÷5.
Equation to find the number of nickelsGiven:
Total pennies=50
Logan got a nickel of 5 pennies=1
Hence:
Number of nickels=1÷5×50
Number of nickels=50÷5
Number of nickels=10 nickels
Therefore the equation that can be used to find how many nickels logan uses is: 50÷5.
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Jasmine played in a basketball tournament. The ratio of the number of baskets she missed during the tournament to the number of baskets she made is 3:8. If Jasmine missed 9 baskets during the tournament, how many baskets did she make? Draw a diagram to demonstrate how you found your answer.
A ratio shows us the number of times a number contains another number. The number of baskets Jasmine made is 24.
What is a Ratio?A ratio shows us the number of times a number contains another number.
The ratio of the number of baskets she missed during the tournament to the number of baskets she made is 3:8. Therefore, we can write,
(Number of baskets Missed)/ (Number of baskets made) = 3/8
If Jasmine missed 9 baskets during the tournament, then the ratio can be rewritten as,
(Number of baskets Missed)/ (Number of baskets made) = 3/8
9 / (Number of baskets made) = 3/8
(9×8)/3 = (Number of baskets made)
Number of baskets made = 24 baskets
Hence, the number of baskets Jasmine made is 24.
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ill give brainliest, help
Answer:
2 up 3 run
Step-by-step explanation:
just count the squares until u reach a part where the line touches again
Sammi has $125.75 in her savings account. She deposits $25.50 into the account each month for the next 6 months.
How much is in Sammi's account at the end of the 6 months?
Enter Your answer into the box
Answer:
i think the answer is 278.75
3x-2y=12
6x-4y-24
OIt has infinitely many solutions.
OIt has no solution.
O It has one solution (2, -3).
O It has one solution (4, 0).
The scale factor between two similar figures is given. The surface area and volume of the smaller figure are given. Find the surface area and volume of the larger figure.
scale factor = 2:7
SA= 8 cm²
V = 128 cm³
A) SA=98 cm², V = 5488 cm³
B) SA= 686 cm², V = 5488 cm³
C) SA= 98 cm², V = 686 cm³
D) SA=98 cm², V = 784 cm³
E) SA 14 cm². V = 112 cm³
If you horizontally shift the square root parent function, F(x)=√x, right eight
units, what is the equation of the new function?
O A. G(x) = vx +8
OB. G(x)=√x-8
OC. G(x)=√x - 8
OD. G(x) = √√x+8
The function g(x) = √(x - 8) represents a horizontal shift of the square root parent function f(x) = √x, to the right by eight units. Option B.
To horizontally shift the square root parent function, f(x) = √x, right eight units, we need to replace x with (x - 8) in the function. This shift will move the entire graph eight units to the right.
So, the equation of the new function, let's call it g(x), will be:
g(x) = √(x - 8)
Therefore, the correct choice is g(x) = √(x - 8).
This means that for any given value of x, we substitute (x - 8) in the original square root function. The effect of this shift is that all x-values on the graph of g(x) will be eight units greater than their corresponding x-values on the graph of f(x).
For example, if we consider the point (8, 2) on the graph of f(x), after the horizontal shift, it will be located at (16, 2) on the graph of g(x). Similarly, the point (0, 0) on the graph of f(x) will shift to (8, 0) on the graph of g(x).
The function g(x) = √(x - 8) represents a horizontal shift of the square root parent function f(x) = √x, to the right by eight units. This transformation allows us to analyze and understand how the graph of the square root function is affected by horizontal shifts. SO Option B is correct.
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A new computer loses 1/2 of its value every year. Which graph could represent the relationship between the year and the computer’s value?
SOMEONE HELP PLS, YOU’LL GET FREE EASY POINTS IF THE ANSWER IS RIGHT!!!!
Let's first consider: the fact that a new computer loses 1/2 of its value
⇒ third choice and fourth choice are eliminated
⇒ because of the graph project the computer's value as growing over
years
Now let's try to set up an equation:
After 1st year ⇒ Computer's value = [tex]total_.value*\frac{1}{2}[/tex]
After 2nd year ⇒ Computer's value = [tex]total_.value*\frac{1}{2}*\frac{1}{2}=total_.value*(\frac{1}{2} )^2[/tex]
After 3rd year ⇒ Computer's value =[tex]total_.value*\frac{1}{2}*\frac{1}{2}* \frac{1}{2}=total_.value*(\frac{1}{2})^3[/tex]
..... (Hopefully you see a pattern)
After x year ⇒ Computer's value = [tex]total_.value*(\frac{1}{2})^x[/tex]
Therefore, the equation is: [tex]total_.value*(\frac{1}{2})^x[/tex]
⇒that means the graph has to exponentially decreasing as it has
an exponent (meaning the function is exponential) and a base less
than 1 (meaning that the function is decreasing)
Answer: Choice (1)
Hope that helps!
Answer:
A
Step-by-step explanation:
After x year, computer's value will be (1/2)^x
So the graph has to exponentially decreasing.
Both A and B show decreasing value but B is linear. So B is incorrect
C and D show increasing value so they are both incorrect.
If R is (-4, 7) and S is (-2, 12), what is the component form of the vector R.S?
(8,84)
(2,5)
(-6, 19)
(-3,9.5)
Answer:
(2, 5)
Step-by-step explanation:
Given:
R = (-4, 7)S = (-2, 12)To find the components of [tex]\overrightarrow{RS}[/tex] we need to go from R to O and then O to S. Remember that [tex]\overrightarrow{RO}[/tex] is the negative of [tex]\overrightarrow{OR}[/tex]. Therefore:
[tex]\begin{aligned} \displaystyle \overrightarrow{RS} & =\overrightarrow{RO}+\overrightarrow{OS}\\& = \overrightarrow{OS}-\overrightarrow{OR}\\& =\binom{-2}{12}-\binom{-4}{7}\\& =\binom{2}{5}\end{aligned}[/tex]
Therefore, the component form (x, y) of the vector [tex]\overrightarrow{RS}[/tex] is (2, 5)
Find the area of a regular polygon with 5 sides that has a side length of 6 inches and an apothem of 9 inches.
Area = [?]in2
Answer:
see the attachment photo!
Answer: The correct answer is 135 in².
Step-by-step explanation: An area of a polygon is this:
Area = (number of sides × length of one side × apothem)/2
(5 x 6 x 9) / 2 = 135
Find the length of side b below using Law of Sines. Give the exact value as an expression and an approximation to the nearest tenth.
Answer:
b ≈ 7.8
Step-by-step explanation:
using the law of sines
∠ A = 180° - 105° - 40° = 180° - 145° = 35° , then
[tex]\frac{b}{sin40}[/tex] = [tex]\frac{7}{sin35}[/tex] ( cross- multiply )
b × sin35° = 7 × sin40° ( divide both sides by sin35° )
b = [tex]\frac{7sin40}{sin35}[/tex] ≈ 7.8 ( to the nearest tenth )
The base area of a rectangular water tank is 1000cm². If the tank has a height of 100cm' a) Find the capacity of the water tank.
The capacity or volume of the rectangular water tank is 100000 cm³.
How to find the volume(capacity) of a water tank?volume of a rectangular water tank = base area × height
where
base area = lwTherefore,
base area = 1000 cm²
height = 100 cm
Therefore,
capacity(volume) of the water tank = 1000 × 100 = 100000 cm³
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the width of a rectangular prism is 7cm, height is 5cm and length is 13 cm. find the volume
The volume of the given rectangular prism.
Solution:[tex]\huge\boxed{Formula: lwh}[/tex]
To find the the volume we'll have to multiply the height, width and length.
[tex]V=\: 13×7×5 [/tex]
[tex]\large\boxed{V= \:455\: {cm}^{3}}[/tex]
Therefore, the volume of the given rectangular prism is 455 cubic centimeters.
Determine the number of triangles that can be constructed given the conditions in a-d.
a. m
b. Three line segments measure 21 inches, 7 inches, and 4 inches → _
c. RS = 14 cm, m
d. m
Only b we can check
Line lengths are 21in,7in,4inThe rule is sum of two sides must be greater than third side
Check
21+7>47+4<2121+4>7They can't form a triangle
a running relay team ran a 400 meter race in a record-setting time of 36 seconds.what was their average speed to the nearest tenth of a meter per second?
Answer:
406858reuyy igcbjiy469633
Use a graphing calculator to approximate the vertex of the graph of the parabola defined by the following
equation.ñ
y = 2x^2 -x + 6
Answer:
(1/4, 5 7/8)
Step-by-step explanation:
The vertex is the extreme point of the graph. Here, it is a minimum.
For this quadratic function, a graphing calculator can tell you exactly what the vertex is. (No approximation is required.)
__
The graphing calculator in the attachment shows the vertex is ...
(0.25, 5.875) = (1/4, 5 7/8)
Find the volume of the figure. Round your answer to the nearest tenth if necessary. Use 3.14 for T.
A cylinder has a radius of 7 meters and a height of 3 meters.
The volume of the cylinder is approximately
m³.
Answer:
[tex]\boxed{ \rm \: Volume_{(Cylinder)} \approx \: 461.6 \: {m}^{3} } \rm (rounded \: to \: nearest \: tenth)[/tex]
Step-by-step explanation:
Given dimensions:
Radius of the cylinder = 7 metresHeight of the cylinder = 3 metresGiven value of π :
π = 3.14To find:
The Volume of the cylinderSolution:
Here, we'll need to use the formulae of the volume of cylinder,to find it's volume.Its actually like a savior while solving these type of questions.
[tex] \pink{\star}\boxed{\rm \: Volume_{(Cylinder)} = \pi{r} {}^{2} h}\pink{\star}[/tex]
where,
π = 3.14r² = (radius)²h = heightPlug/substitute them onto the formulae,then simplify it using PEMDAS.
[We'll substitute the value of π later][tex] \rm \: Volume_{(Cylinder)} = \pi(7) {}^{2} \times 3[/tex]
[tex] \rm \: Volume_{(Cylinder)} = \pi(49)(3)[/tex]
[tex] \rm \: Volume_{(Cylinder)} = 147\pi \: [/tex]
Now substitute the value of π.[tex] \rm \: Volume_{(Cylinder)} = 147 \times 3.14[/tex]
[tex] \rm \: Volume_{(Cylinder)} = 461.58 \: {m}^{3} [/tex]
[tex] \boxed{\rm \: Volume_{(Cylinder)} \approx \: 461.6 \: {m}^{3}} \rm (rounded \: to \: nearest \: tenth) \: [/tex]
Hence, we can conclude that:
The volume of the cylinder is approximately
461.6 m³.
[tex] \rule{225pt}{2pt}[/tex]