Answer:
24.65
Step-by-step explanation:
all the numbers between 20 and 40 which are multiples of 2 and 3
Answer:
21, 24, 27, 30, 33, 36, 39.
Step-by-step explanation:
Answer:
multiples of 3 : 21, 24, 27, 30, 33, 36, 39.
multiples of 2 : 20, 22, 24, 26, 28, 30, 32, 34, 36, 38, 40
Step-by-step explanation:
Solve X^2 - 6x = -5 by completing the square. Show all work for the steps below. A) For x^2 - 6x + c = -5 + c, what value of c is used to complete the square? B) Substitute the value for c in Part 2(a). Then complete the square to rewrite the equation as the square of a binomial. C) Solve for x. ( Will Mark Brainliest but no links or nonsense answers please) I Also Posted A Picture Of The Question And Steps so you can see what the question and steps are to take.
Answer:
Below.
Step-by-step explanation:
x^2 - 6x = -5
x^2 - 6x + 9 = -5 + 9 c = 9
(x - 3)^2 = 4
x - 3 = +/- sqrt4
x - 3 = +/- 4
x - 3 = 2 gives x = 5 and
x - 3 = -4 gives x = -1.
Find the difference when we subtract 38,40,159 from the number formed by reversing its digits.
Answer:
5,670,279
Step-by-step explanation:
3,840,159 reversed is, 9,510,483 so, 9,510,483 - 3,840,159 = 5,670,279
What is another way to look at the circumference of a circle?
a. perimeter
b. area
c. diameter
d. radius
Please select the best answer from the choices provided
Answer:
A. Perimeter
Step-by-step explanation:
I calculated it logically
The following diagram shows part of the graph off with x-intercept (5,0) and y-intercept (0,8).
Find the y-intercept of the graph of f(x) + 3.
Step-by-step explanation:
By question , it's given that the X intercept is (5,0) and the y intercept is (0,8) . And we need to find the y-intercept of the graph of f(x) + 3 . For that , firstly let's find out the equation of the line.
We can use here two point form of the line .So that , the equation would be ,[tex]\sf\implies y- y_1 = \bigg(\dfrac{y_2-y_1}{x_2-x_1}\bigg) ( x - x_1) \\\\\sf\implies y - 0 = \bigg(\dfrac{0-8}{5-0}\bigg)( x - 5 ) \\\\\sf\implies y = \dfrac{-8}{5}( x - 5 ) \\\\\sf\implies 5y = -8x +40 \\\\\sf\implies 8x + 5y - 40 = 0 [/tex]
Let us say that this is f(x) :-
[tex]\\\\\sf\implies f(x) = 8x + 5y - 40 \\\\\sf\implies \boxed{\sf\red{ f(x)+3 = 8x +5y -37 }}[/tex]
Plot its graph :-
We can either convert it into intercept form but plotting a graph can also be done to find y intercept .
[tex]\implies \boxed{\pink{\sf y - intercept = 7.4}}[/tex]
Refer to attachment for graph .
Hence the y Intercept is 7.4 .
In a 3-digit number, the hundreds digit is one more than the ones digit and the tens digit is twice the hundreds digit. If the sum of the digits is 11, find the number. Plz give equation and answer.
Answer:
362
Step-by-step explanation:
Let the ones digit equal x. If the ones digit is one, then the hundreds digit is one more than it or x + 1. And, since the tens digit is twice the hundreds digit, you can say it is 2(x + 1) or as simplified: 2x + 2. Now, we are given the sum of the digits is 11, so if we add all of them, they should be equal to 11:
x + x + 1 + 2x + 2 = 11
We can combine like terms:
4x + 3 = 11
4x = 8
x = 2
So, the ones digit is 2. Since the hundreds digit is one more, it's 3. And because the tens is twice the hundreds, it's 6. The number is 362.
Answer:
362
Step-by-step explanation:
Hundreds:x
Tens:2x
Ones:x-1
x+2x+x-1=11=equation
3x-1=11
3x=12
x=4-1
x=3
A landowner wants to find the distance d across a pond. The two overlapping right triangles are similar . Using the measurements shown , what is d?
Answer:
96 m
Step-by-step explanation:
It is given that the two overlapping triangles are similar in the figure.
The landowner wishes to find the distance across the pond. The distance is d.
From the figure, since the two triangles are similar, therefore we can write :
[tex]$\frac{d}{(24+40)}=\frac{60}{40}$[/tex]
[tex]$\frac{d}{64}=\frac{60}{40}$[/tex]
[tex]$d = \frac{60}{40} \times 64$[/tex]
[tex]$d = \frac{6}{4} \times 64$[/tex]
d = 6 x 16
= 96 m
Therefore, the distance across the pond is d = 96 m
Two similar trapezoids have areas 225 and 400. If the height of the smaller trapezoid is 12, find the height of the larger trapezoid.
Answer:
Step-by-step explanation:
A rectangular prism has a length of 4 feet, a width of 8 feet and a height of 5 feet. What is the volume of the prism
A rectangle has a length of (x+6) units and a width of (x - 5) units.
What is the area of the rectangle in terms of x?
A (x^2 – 30) square units
B (x^2 +30) square units
C (x^2– x+30) square units
D (x^2+– 30) square units
Answer:
x² +x -30
Step-by-step explanation:
A = length * width = (x+6)(x-5) = x² -5x+6x-30= x²+x -30
The number of manatee deaths along the Florida coast was recorded each year from 1977 to 1990. Below is a regression printout for number of deaths versus number of boats for each of the 14 years. Which of the following would give a 95% confidence interval for the slope of the regression line?Regression AnalysisThe regression equation isDeaths = - 41.4 + 0.125 BoatsPredictorCoefStdevt-ratiopConstant-41.4307.412-5.590.000Boats0.124860.012909.680.000s = 4.276 n = 15 R-sq = 88.6% R-sq(adj) = 87.7%0.125± 2.160(.013)0.125± 2.145(.013)0.125± 2.179(.013)0.125± 2.179(4.276)0.125± 2.145(4.276)
the anser is 333399999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999
A rectangular lawn has an area of 1624 square metres. Its perimeter is 170 metres. What are the dimensions of the lawn?
GIVEN
L×B = 1624. ---1)
2(L+B) = 170
(L+B) = 85
L= 85- B
Substitute value of L in eq 1)
(85-B)B = 1624
B²-85B+1624 = 0
B²-56B-29B+1624 = 0
B(B-56)-29(B-56) = 0
(B-29)(B-56) = 0
B= 29 OR B= 56
IF B = 29, L = 56
IF B = 56, L = 29
The dimension of lawn is 56×29 cm²
Please help me solve (with each step) the following:
log7 -2b-9=-6
The probability of Jan's school bus running late is 3/8. And 168 days of riding the bus how many times can Jan expected to be late
Answer:
Step-by-step explanation:
57=
HELPPP HELPPP HELPPP!!!!
Answer:
Step-by-step explanation:
area =8*4 cm
=32 cm^2
Answer:
area of the figure=8×4
=32 cm²
Cuale es la distancia entre dos puntos (6,-7)(-2,8)
Answer:
17
Step-by-step explanation:
Use the distance formula to determine the distance between the two points.
[tex]d = \sqrt{(x_{2} -x_{1})^{2} + (y_{2} - x_{1})^{2} }[/tex]
d = distance
[tex](x_{1}, y_{1})[/tex] = coordinates of the first point
[tex](x_{2}, y_{2})[/tex] = coordinates of the second point
Answer: The distance between the points (6,-7)(-2,8) is 17.
Step-by-step explanation:
To calculate the distance between two points, we apply the following formula:
[tex]\boldsymbol{\sf{d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2 } }}[/tex]
The points are:
(x₁, y₁) = 6, -7(x₂, y₂) = -2. 8We substitute in the formula and solve:
[tex]\boldsymbol{\sf{d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2 } }}\\ \\ \boldsymbol{\sf{d=\sqrt{(-2-6)^2+(8-(-7))^2 } }}\\ \\ \boldsymbol{\sf{d=\sqrt{(-8)^2+15^2}=\sqrt{64+225 } }}\\ \\ \boldsymbol{\sf{d=\sqrt{289}=17 }}[/tex]
The distance between the points (6,-7)(-2,8) is 17.
35-4-2-13
O C5 (
42) 13
o
D(
64) -2-13
Mark of the Expressions below that are equivalent to 320, 000.
Answer:
32x10^4 and 3.2x10^5
Step-by-step explanation:
Mind marking me brainliest? :)
Answer:
first and the 3rd one
Step-by-step explanation:
What type of symmetry’s are shown?
Answer:
18o rotational symetry
Step-by-step explanation:
Solve
8 (d+2) – 36 = 2 + 6(1 – d)
Answer:
d=2
Step-by-step explanation:
8(d+2)-36=2+6(1-d)
Expand the equation
8d+16-36=2+6-6d
Put like terms together
8d+6d = 2+6-16+36
14d= 28
Divide 14 on both sides to get the value of d
[tex] \frac{14d}{14} = \frac{28}{14} [/tex]
d=2
What are the solutions to the quadratic equation x2-16=0
Answer:
x = -4, 4
Step-by-step explanation:
Hi there!
[tex]x^2-16=0[/tex]
Rewrite 16:
[tex]x^2-4^2=0[/tex]
The difference of squares rule states that [tex]a^2-b^2=(a+b)(a-b)[/tex]. With this, apply the difference of squares to the equation:
[tex](x+4)(x-4)=0[/tex]
The zero-product property states that if the product of two numbers is 0, then one of the numbers must be equal to zero. Set each term equal to 0 and find the solutions:
[tex]x+4=0\\x=-4[/tex]
[tex]x-4=0\\x=4[/tex]
Therefore, the solutions are -4 and 4.
I hope this helps!
Part A
The function f(x) = −4x2 + 18x + 16 models the predicted sales of a hat after x price increases. Use the table showing actual and predicted sales to find the residuals for the model. Part B
Function g also models the predicted sales of the hat in Part A. For function g, the average distance of the residuals from the line y = 0 is 1.3. Is f or g a better model for the data?
Use the drop-down menu to show your answer.
Drag the numbers to complete the table. Numbers may be used once, more than once, or not at all.
Actual Sales ($) Predicted Sales ($) Residual
0 17 16
1 29 30
2 34 34
3 33 34
4 22 24
Answer:
Actual Sales | Predicted Sales | Residual
$ $
17 | 16 | 1
29 | 30 | -1
34 | 34 | 0
33 | 34 | -1
22 | 24 | -2
-----------------------------
hope it helps..
have a great day!!
what is the area of a tile floor that is 12.8 feet long and 9.5 feet wide
Answer: 121.5 ft^2
Step-by-step explanation:
Area= L x W
12.8 X 9.5
= 121.6
Which of the following will form the composite function G(F(x)) shown
below?
G(F(x)) = 2(x-6)2 + 5
A. F(x) = x2 + 5 and G(x) = x-6
B. F(x) = 2x + 5 and G(x) = (x-6)2
C. F(x) = x - 6 and G(x) = 2x2 + 5
O D. F(x) = (x - 6)2 and G(x) = 5
Answer:
[tex]f(x) = 2x + 5[/tex]
[tex]g(x) = (x - 6)^2[/tex]
Step-by-step explanation:
Given
(a) to (d)
Required
Which will give:
[tex]f(g(x)) = 2(x - 6)^2 + 5[/tex]
Equate the expression in bracket to g(x)
[tex]g(x) = (x - 6)^2[/tex]
Replace g(x) with x in: [tex]f(g(x)) = 2(x - 6)^2 + 5[/tex]
[tex]f(x) = 2x + 5[/tex]
What is the slope of the line that passes through the points (-2, 3) (−2,3) and (-14, -5) ?(−14,−5)? Write your answer in simplest form.
Answer:
2/3
Step-by-step explanation:
the steps are in the pic above
f(x)=10x-15 g(x)=2x-3 Find: (f/g)(x)
The function operation (f/g)(x) in the functions f(x) = 10x-15 and g(x) =2x-3 is 5.
What is the function operation (f/g)(x) in the given function?A function is simply a relationship that maps one input to one output.
Given that;
f( x ) = 10x - 15g( x ) = 2x - 3( f / g )( x ) = ?First, we replace the function designators in f/g with the actual functions.
(f / g )(x) = f(x) / g(x)
(f / g )(x) = ( 10x - 15 ) / ( 2x - 3 )
Now, factor out 5 from 10x and -15
(f / g )(x) = 5( 2x - 3 ) / ( 2x - 3 )
Cancel the common factor of 2x - 3
(f / g )(x) = 5( 1 ) / ( 1 )
(f / g )(x) = 5 / 1
(f / g )(x) = 5
Therefore, the function operation (f/g)(x) equals 5.
Learn more about functions here: brainly.com/question/2541698
#SPJ1
Use a net to find the surface area of the prism.
27 cm
6.5 cm
15 cm
The surface area of the prism is
(Simplify your answer.)
Cm2
Answer:
Step-by-step explanation:
a number n is greater than 22
Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s). Solve the given system of equations 4x+5y=10 -x-8=3y
Answer:
[tex]4x + 5y = 10 - - - (a) \\ - x - 8 = 3y \\ - x - 3y = 8 \\ x + 3y = - 8 - - - (b) \\ 4 \times (b) - (a) : \\ = > 0x + 7y = - 42 \\ y = - 6 \\ x - 21 = - 8 \\ x = 13 \\ { \boxed{x = 13}} \\ { \boxed{y = - 6}}[/tex]
Answer:(10,-6)
Step-by-step explanation:
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Find the 8th term of the geometric sequence 7, 28, 112, ...