Answer:
(B)Mr Smith drove 3 miles per day more than Ms. Johnson.
(D) A reasonable prediction is that both salespeople will drive about 110
miles each day.
(F)If both salespeople work 250 days this year, they will drive about
27,500 miles for this year.
Step-by-step explanation:
Given the miles driven by the two salesman.
Mr Smith
128 , 150 , 118 , 85 , 166 and 25
[tex]\text{Average miles per day}=\dfrac{128+150+118+85+166+25}{6}=\dfrac{672}{6}\\=112$ miles per day[/tex]
Ms. Johnson
115,97,86,48,181 and 127
[tex]\text{Average miles per day}=\dfrac{115+97+86+48+181+127}{6}=\dfrac{654}{6}\\=109$ miles per day[/tex]
Therefore:
(B)Mr Smith drove 3 miles per day more than Ms. Johnson.
(D) A reasonable prediction is that both salespeople will drive about 110
miles each day.
[tex]112 \approx 110$ miles per day\\109 \approx 110$ miles per day[/tex]
(F)If both salespeople work 250 days this year, they will drive about
27,500 miles for this year.
110 X 250=27,500 miles
which is not an equation of the line going through (3, -6) and (1, 2)
a. y-2=-4(x-1)
b. y-1=_4(x-2)
c. y=-4x+6
d. y+6=-4(x-3)
Answer:
The answer is B.
Step-by-step explanation:
Just took the quiz on A P E X .
which is equal to 500?
The right answer is 10√5..
please see the attached picture for full solution
Hope it helps
Good luck on your assignment
Answer:
2nd one
Step-by-step explanation:
If you look at all the factors the highest pair with a square root is 5•100
The square root of 100 is 10
And then the square root of 5 is left
Match the function with the graph.
g(x) = -(x-6)
b
g(x) = -x + 6
a
c. g(x) = (x+6)
d. g(x) = -7° - 6
Please select the best answer from the choices provided
Answer:
A) g(x)= -(x-6)^2
Step-by-step explanation:
The graph is of a parabola, so there must be a ^2
If you plug the equation into the graphing calculator it will graph it for you.
A textbook store sold a combined total of 368 psychology and sociology textbooks in a week. The number of psychology textbooks sold was three times the
number of sociology textbooks sold. How many textbooks of each type were sold?
Number of psychology textbooks sold: 1
Number of sociology textbooks sold:
Step-by-step explanation:
Total books = 368.
Sociology books = 92.
Psychology books = 3 times sociology books
= 3 x 92 = 276
Total = 276 + 92 = 368
***PLEASE HELP***
If the expression f2+g4−2f+1 is rewritten in the form a2+(g2)2, what must be the value of a?
Answer:
(f-1)
Step-by-step explanation:
If you substitute a for (f-1) you get the expression...
The value of a if the expression f² + g⁴ − 2f + 1 is rewritten in the form a² + (g²)2 is f
How to rewrite the algebraic expressionf² + g⁴ − 2f + 1
f(f - 2) + g⁴ + 1
From the expressiona = f
Therefore, the value of a is f
Learn more about algebraic expression:
https://brainly.com/question/4344214
I will give brainiest answer
Answer:
≈ 64.43 cm²
Step-by-step explanation:
Subtract the area of the circle from the area of the rectangle.
area of rectangle = 7 × 11 = 77 cm²
area of circle = πr² = π × 2² = 4π cm²
Thus
area of shaded region = 77 - 4π ≈ 64.43 cm² ( to nearest hundredth )
Answer:
The answer might be 64.43 CM. I hope this helps. Please tell me if you get it right or wrong.
Step-by-step explanation:
Is my answer to this problem right?
Answer:
Yes
Step-by-step explanation:
1/3 = 3 in 1
3(1) = 3
3 x 12 = 36
So 36 is correct
Answer:
I’m pretty sure you are correct.
help help help help help help help
Answer:
The answer would be C
Step-by-step explanation:
Write a linear equation in standard form for the line that goes through
(-14,-5) and (4,7)
A. Y-5. }(x-4)
O B. -2x+ 3y = 1
C. - 2x + 3y - 13
O D. 2x - 3y = 13
Answer:
[tex]3y - 2x = 13[/tex]
Step-by-step explanation:
Given
Points (-14,-5) and (4,7)
Required
Find its linear equation in a standard form
To find the linear form, we start by calculating the slope of the line
This is calculated as thus:
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
Where [tex](x_1,y_1) = (-14,-5)\ and\ (x_2,y_2) = (4,7)[/tex]
So, [tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex] becomes
[tex]m = \frac{7 - (-5)}{4 - (-14)}[/tex]
[tex]m = \frac{7 + 5}{4 + 14}[/tex]
[tex]m = \frac{12}{18}[/tex]
Simplify fraction to lowest term
[tex]m = \frac{6*2}{6*3}[/tex]
[tex]m = \frac{2}{3}[/tex]
The equation of the line can then be calculated using any of the given points;
Using
[tex]m = \frac{y - y_1}{x - x_1}[/tex]
[tex]Where\ (x_1,y_1) = (-14,-5)\ and\ m = \frac{2}{3}[/tex]
We have
[tex]\frac{2}{3} = \frac{y-(-5)}{x-(-14)}[/tex]
[tex]\frac{2}{3} = \frac{y+5}{x+14}[/tex]
Multiply both sides by 3
[tex]3 * \frac{2}{3} = \frac{y+5}{x+14} * 3[/tex]
[tex]2 = \frac{y+5}{x+14} * 3[/tex]
[tex]2 = \frac{3(y+5)}{x+14}[/tex]
Multiply both sides by x + 14
[tex]2 * (x + 14) = \frac{3(y+5)}{x+14} * (x + 14)[/tex]
[tex]2 * (x + 14) = 3(y+5)[/tex]
Open brackets
[tex]2 * x + 2 * 14 = 3* y+ 3 * 5[/tex]
[tex]2x + 28 = 3y+ 15[/tex]
Subtract 2x from both sides
[tex]2x - 2x + 28 = 3y+ 15 - 2x[/tex]
[tex]28 = 3y+ 15 - 2x[/tex]
Subtract 15 from both sides
[tex]28 - 15 = 3y+ 15 - 2x - 15[/tex]
[tex]28 - 15 = 3y - 2x + 15- 15[/tex]
[tex]13 = 3y - 2x[/tex]
Reorder
[tex]3y - 2x = 13[/tex]
Hence, the equation of the line in standard form is [tex]3y - 2x = 13[/tex]
What is the explicit formula for the sequence?
7, 2, –3, –8, –13, . . .
===========================================================
Explanation:
[tex]a_1 = 7[/tex] is the first term
[tex]d = -5[/tex] is the common difference, telling us to add -5 to each term to get the next term. This is the same as subtracting 5 from each term
The nth term of the arithmetic sequence is,
[tex]a_n = a_1 + d(n-1)\\\\a_n = 7 + (-5)(n-1)\\\\a_n = 7-5(n-1)\\\\a_n = 7-5n+5\\\\a_n = -5n+12\\\\[/tex]
----------------
As a check, let's plug in n = 4 and we should get -8 as our fourth term
[tex]a_n = -5n+12\\\\a_4 = -5(4)+12\\\\a_4 = -20+12\\\\a_4 = -8\\\\[/tex]
so that confirms that portion of the sequence. I'll let you check the other values.
Please answer this ASAP!!
Answer: The cost to buy all the paint he needs = [tex]\pounds \ 176.70\ .[/tex]
Step-by-step explanation:
Formula: Area of trapezium = [tex]\dfrac{1}{2}(a+b)h[/tex], where a and b are the parallel sides and h is the height.
From the given figure of trapezium, we have
a = 10 m
b = 16 m
h = 7.6 m
Then, area of trapezium floor = [tex]\dfrac{1}{2}(10+16)(7.6)=\dfrac{1}{2}(26)(7.6)=98.8\ m^2[/tex]
Also, 1 litre paint is required to paint and area of [tex]1.9\ m^2[/tex].
Then, the amount of paint required to paint [tex]98.8\ m^2[/tex] area = [tex](98.8\ m^2)\div(1.9\ m^2)[/tex]
[tex]= 52[/tex] litres
Since cost if 5 litres of paint = [tex]\pounds\ 16.99[/tex]
then cost of 1 liter paint = [tex]\pounds \dfrac{16.99}{ 5}=\pounds 3.398[/tex]
Then, cost of 52 litres of paint = [tex]52\times3.398=\pounds \ 176.696\approx\pounds\ 176.70[/tex]
Hence, the cost to buy all the paint he needs = [tex]\pounds \ 176.70\ .[/tex]
Which graph represents the function g(x) = |x + 4| + 2?
On a coordinate plane, an absolute value graph has a vertex at (negative 4, 2).
On a coordinate plane, an absolute value graph has a vertex at (negative 2, 4).
On a coordinate plane, an absolute value graph has a vertex at (4, 2).
On a coordinate plane, an absolute value graph has a vertex at (2, 4).
Answer:
The following graph represents the function g(x)=|x+4| +2
1) On a coordinate plane, an absolute value graph has a vertex at (-4,2)
Step-by-step explanation:
A vertex can bed defined as a point where two lines meet. In a graph, a vertex can also be interpreted as the point where the direction of the line or curve change
The function is given by:
[tex]g(x)=|x+4|+2[/tex]
which is an absolute value function. We need to find the vertex of the graph.
The graph drawn is attached below.
We can see in the graph that at x = -4 and y = 2 , a point is formed where the straight line changes its direction.
So the vertex is formed at (-4,2)
Answer:
A. (-4,2)
Step-by-step explanation:
Add.
3x2 - 5x+1
2x2 +9X-6
+
A. 5x2 + 4x + 7
B. 5x2 - 4x + 5
C. 5x2 + 4x-5
D. 5x2 + 14x-5
Answer:
C
Step-by-step explanation:
3x2 - 5x+1 + 2x2 +9x-6
Combine like terms
5x2+4x-5 which is C
You are welcome and don't for get to click THANKS
Blake used b blocks to build a bridge. Bridget used 6 more than 3 times as many blocks as Blake did to build a bridge. Which expression represents how many blocks Bridget used?
A) b+(3x6)
B) b+3+6
C) 3(b+6)
D) 3b+6
Answer:
c
Step-by-step explanation:
Answer: D
Step-by-step explanation:
Three times is 3 x b + 6
can somebody explain an easier way to do it
Answer:
4 to 1
Step-by-step explanation:
For herself alone, she uses a ratio of
8 tablespoons of cocoa to 2 tablespoons of sugar
The ratio is
8 to 2
We divide both numbers by 2 to get the simplified ratio
4 to 1
For two, she doubles the recipe, so she uses the ratio
16 tablespoons of cocoa to 4 tablespoons of sugar
The ratio is
16 to 4
We divide both numbers by 4 to get the simplified ratio
4 to 1
:))))))))))))))))))))
Answer:
C
Step-by-step explanation:
[tex]48 \geqslant 6 - 7a \\ 48 - 6 \geqslant - 7a \\ 42 \geqslant - 7a \\ a \geqslant \frac{ 42}{ -7} \\ a \geqslant - 6[/tex]
Hope this helps..
Answer:
C. [tex] a \ge -6 [/tex]
Step-by-step explanation:
[tex] 48 \ge 6 - 7a [/tex]
Add 7a to both sides.
[tex] 7a + 48 \ge 6 [/tex]
Subtract 48 from both sides.
[tex] 7a \ge -42 [/tex]
Divide both sides by 7.
[tex] a \ge -6 [/tex]
Answer: [tex] a \ge -6 [/tex]
I need help with congruence and similarity problem. ( picture below)
Answer:
x = 9, y = 4 and z = 6.67
Step-by-step explanation:
Since both the polygons are similar, by the property of similarity corresponding sides of the polygons will be proportional.
Therefore, [tex]\frac{x}{6}=\frac{12}{8}[/tex]
x = [tex]\frac{12\times 6}{8}[/tex]
x = 9
Similarly, [tex]\frac{10}{z}=\frac{12}{8}[/tex]
z = [tex]\frac{10\times 8}{12}[/tex]
z = [tex]\frac{20}{3}[/tex] = 6.67
And [tex]\frac{6}{y}=\frac{12}{8}[/tex]
y = [tex]\frac{8\times 6}{12}[/tex]
y = 4
Therefore, x = 9, y = 4 and z = 6.67 will be the values.
Given sin(−θ)=−16 and tanθ=−35√35.
What is the value of cosθ?
A) −35√6
B) −35√210
C) 35√6
D) 35√210
Answer:
D. -√35/6
Step-by-step explanation:
algebra 2! what’s the answer to this? will give you all my points.
Answer:
Step-by-step explanation:
this is a radical equation:
when x=1 y=0
reflected about x
-sqrt(x)
right 1 unit
-sqrt(x-1)
it looks like y-int is about (0,1/3)
vertically compressed by a factor of 1/3
-(1/3)sqrt(x-1)
if you think the y-int is more (0,1/4), then
the function is vertically compressed by a factor of 1/4
-0.25sqrt(x-1)
Solve for x:
11(x+2)+3(x+4)=34
Answer:
x=0
Step-by-step explanation:
first remove parentheses 11x + 22 + 3x +12 =34
then cancel equal terms 14x + 34 = 34
divide both sides by 14 14x = 0
solution x = 0
Help pleaseeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee
Answer:
x=36
Step-by-step explanation:
3x+2x=180 (because they're supplementary angles)
5x=180
x=36
The function g is defined by g(x) =
x + 5
4x + 3
Find g (5a)
14. question in attachment
[tex]answer \\ = 2x - 2 \\ solution \\ given \: data = x + 1 ,\: 3x - 2 ,\: 2x - 5 \\ n(total \: number \: of \: items) = 3 \\ we \: have \: to \: find \: mean \: of \: the \: given \\ data \\ mean = \frac{x + 1 + 3x - 2 + 2x - 5}{3} \\ \: \: \: \: \: \: \: = \frac{x + 2x + 3x + 1 - 2 - 5}{3} \\ \: \: \: \: \: \: = \frac{6x - 1 - 5}{3} \\ \: \: \: \: = \frac{6x - 6}{3} \\ \: \: \: \: = 2x - 2 \\ hope \: it \: helps[/tex]
Find the volume of this problem
Answer:
Step-by-step explanation:
diameter = 6 in
r = 6/2 = 3 in
h = 11 in
Volume of cylinder = πr²h
= 3.14*3*3*11
= 310.86 in³
Can someone help me with these 2 questions?
Answer:
3: x = 3 4: y = 8
Step-by-step explanation:
Problem 3:
Because of the lines on each side of the rhombus, that shows you that all of those lines are congruent with each other, meaning they are all the same length. So since one side equals the other, you can equal one of the equations on one side to another equation on another side. EX: x+5 = 3x-1. And then you solve that through multi-step equations.
Problem 4:
Just like on Problem 3, due to the little dashes going through the sides of the rectangle, the sides are congruent (the same length) as one another. Except the sides with one dash are not congruent with the sides with two dashes. But if you equal 2y and y+8, then you can solve that through multi-step equations again and get y = 8 since they are congruent with each other (due to the singular dashes running through their sides).
Hope this helped!
Help!!
Cindy dissolves 19 1 /4 grams of drink mix in 1 3 /4 ounces of water. What is the unit rate in grams of drink mix per ounce of water?
Answer:
11 grams of drink mix per ounce of water
Step-by-step explanation:
I converted both numbers to decimals to get 19.25 and 1.75, then divided the amount of drink mix by the amount of water.
Answer:
11 gm mix : 1 ounce water
Step-by-step explanation:
We find 1/7 of 19.75gm = 2.75
Then we multiply by 4 = 11
We have found our ounce rate to be 11 gm : 1 ounce water
In the triangle below. 15 represents which ratio?
А
15
B
00
17
C
o tan
O tano
sin B
COS
Answer:
tanB
Step-by-step explanation:
In the picture attached, the question is shown.
By definition:
tan(β) = opposite/adjacent
From the picture, for angle B the opposite side measure 8 units and the adjacent side measures 15 units. Replacing into the equation:
tan(B) = 8/15
Find the sum of the first 31 terms of the following series, to the nearest integer.
5,14,23,..
Answer:
Step-by-step explanation:
5+14 is 19
19+23 is 4242
I will give the brainiest answer
Answer:
D
Step-by-step explanation:
If you draw the shape in D and assemble it you will get the answer
btw please mark brainliest
Which transformation does not match blue figure to the red flag
Answer:
the second one trust me
Step-by-step explanation:
