Answer:
Step-by-step explanation:
"Four times a number" in symbols is "4n."
Given the following system of equations, solve it by using substitution and elimination. Do
you get the same answer? Why or why not? Explain using complete sentences.
2x+3y = -14
3x + y =-14
Step-by-step explanation:
2x+3y=-14------equation i ×1
3x+y=-14--------equation ii ×3
2x+3y=-14
9x+3y=-42
-7x =- 28
x=4
Substitute for x in equation ii
3x+y= -14
3(4)+y=-14
12+y=-14
y=-14-12
y=- 26
Mary bought 10 quarts of juice at the grocery. How many gallons of juice did she buy?
Answer:
2.5 gallons
Step-by-step explanation:
Quarts of juice Mary bought = 10 quarts
1 quart = 0.25 gallons
10 quarts = 0.25×10 = 2.5 gallons
Therefore she bought 2.5 gallons
Hope this helps : ) . Have a nice day !
In the diagram below, angle BAC = 34°.
Find the following angles, giving reasons for your answers.
a) angle ABC
b) angle BCA
Answer:
a) 90°
b) 56°
Step-by-step explanation:
If we connect O with B to get two isosceles triangles: ΔAOB and ΔBOC
∠BOC= is central angle ans is twice as ∠BAC, so equals to 2*34°= 68°
Then ∠BCA= (180°- 68°)/2= 56°
∠ABC= ∠ABO+∠CBO= 34°+56°= 90°
Prove ABCD is a parallelogram by showing both pairs of opposite sides are parallel. please Show All Work! Thanks!!
Answer:
Here You Go! I'm not really sure about this one but i tried.
Step-by-step explanation:
Answer:
Step-by-step explanation:
To prove this we should first make a little representation to get an idea of how will proceed to work .
To solve it we should use vectors so the first step is to identify this vectors :
we have four points : A/B/C/DA(-2,-4)B(1,2)C(2,10)D(-1,4)VECTOR AB WITH VECTOR DC VECTOR AD WITH VECTOR BCNOW LET'S IDENTIFY THEIR COORDINATES :
VECTOR AB (1-(-2),2-(-4)) VECTOR DC (2-(-1),10-4)VECTOR AD (-1-(-2),4-(-4)) VECTOR BC (2-1,10-2)We get :
VECTOR AB (3,6) VECTOR DC (3,6)VECTOR AD (1,8) VECTOR BC (1,8)We notice that the opposite ones have the same coordinates so the edges are parallel .
If we want to check more we can calculate the lenghts :
AB=[tex]\sqrt{3^{2}+6^{2} }[/tex] DC=[tex]\sqrt{3^{2}+6^{2} }[/tex]So AB=DC
AD=[tex]\sqrt{1^{2}+8^{2} }[/tex] BC=[tex]\sqrt{1^{2}+8^{2} }[/tex]So AD=BC
SO ABCD IS A PARALLELOGRAM
The school's square parking lot has an
area of 3025 ft2. What is the length of each
side of the parking lot?
Answer:
70.257924 m^2
Step-by-step explanation:
f(x) is a function.
A. True
B. False
Answer:
True, this is a function
Step-by-step explanation:
There is a 1 to one correspondence between x and y
Each x goes to one y, so this is a function
help will give brainliest
Answer: A. (-3,7)
Step-by-step explanation:
No work needed, you just need to look at the coordinate plane.
Coordinate II is x as a negative and y as a positive
Answer:
D, (5,-1)
5 is in the x axis
-1 is in the y axis
This point is it the second quadent
Hope this helps ( if incorrect try a)
DONT ANSWER JUST TELL ME HOW TO DO IT!!!!! 15 POINTS!!! since there is two numbers infant of the parentheses which one do you distribute???
DONT REPORT PEOPLE WHO GIVE HINTS INSTEAD OF ANSWERS IT IS RUDE!!!
Answer:
C. -n - 2
Step-by-step explanation:
Since there are no parenthesis for 3n + 2, you only distribute the 2 to (-2n - 1):
3n - 4n - 2
-n - 2
Answer:
C. -n - 2
Step-by-step explanation:
3n + 2(-2n - 1)
Expand the brackets.
3n + - 4n - 2
Add like terms.
- 1n - 2
-n - 2
Box A contains 5 dark chocolates and
10 milk chocolates. Box B contains 12
dark chocolates and 12 milk chocolates.
Craig picks a box at random and then
takes out one chocolate at random.
What is the probability he chooses box B?
%
Answer:
50 %
Step-by-step explanation:
The vector a and the vector b are shown on the grid.
y
6
a) Write a as a column vector
A
va
a
Ab
2
b) Work out 2a - b as a column
a) a as a column vector is [tex]\left(\begin{array}{c}1\\-2\end{array}\right)[/tex]
b) 2a -b as a column vector is [tex]\left(\begin{array}{c}1\\-7\end{array}\right)[/tex]
VectorsTo write a vector as a column vector, the number at the top is the magnitude of the x component (horizontal component) of the vector and the number at the bottom is the magnitude of the y component (vertical component) of the vector
For vector aMagnitude of the vertical component = 1
Magnitude of the vertical component = -2
NOTE: Negative sign indicates that the direction of the vector is downwards
Thus, vector a as a column vector is
[tex]a = \left(\begin{array}{c}1\\-2\end{array}\right)[/tex]
Hence, a as a column vector is [tex]\left(\begin{array}{c}1\\-2\end{array}\right)[/tex]
For vector bMagnitude of the vertical component = 1
Magnitude of the vertical component = 3
[tex]b = \left(\begin{array}{c}1\\3\end{array}\right)[/tex]
Now, we are to work out 2a - b
That is,
[tex]2a -b = 2 \left(\begin{array}{c}1\\-2\end{array}\right)-\left(\begin{array}{c}1\\3\end{array}\right)[/tex]
[tex]2a -b = \left(\begin{array}{c}2\\-4\end{array}\right)-\left(\begin{array}{c}1\\3\end{array}\right)[/tex]
[tex]2a -b = \left(\begin{array}{c}2-1\\-4-3\end{array}\right)[/tex]
[tex]2a -b = \left(\begin{array}{c}1\\-7\end{array}\right)[/tex]
Hence, 2a -b as a column vector is [tex]\left(\begin{array}{c}1\\-7\end{array}\right)[/tex]
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10 points! Please answer within next 5 minutes!
Explain how to use the distributive property to find the product (3)(4 1/ 5)
Answer:
12 3/5
Step-by-step explanation:
Distributive property is when you take a number for example 3 and multiple all of the numbers inside the () in this case 4 1/5
1. multiple 3 by 4 =12
2 multiple3 by 1/5= 3/5
3 write your awnser 4 3/5
Hoped this helped
Identify the two remote interior angles that correspond to angle 4.
Answer:
1 & 2
Step-by-step explanation:
Remote interior angles are the angles inside of a triangle but not on the same straight line as the exterior angle (4)
Answer:
<1 and <2 are the remote interior angles for angle 4
Step-by-step explanation:
The remote interior angles that correspond to angle 4 are the angles that are in the triangle that are not adjacent to angle 4
<1 and <2 are the remote interior angles
A factory can work its employees no more than 6 days a week, and no less than 2 days per
week. Create an inequality to represent the range of days an employee can work. Solve
the inequality to determine the range in hours if the work day is 6.5 hours. Show all of your
work and explain each of your steps. Explain your answer.
Answer:
13<x<39 (range of hours)
Step-by-step explanation:
2<x<6 (x is the range of days)
Since each workday is 6.5 hours, multiply everything by 6.5:
13<x<39 (the new x is the range of hours)
The height of a building is 300 feet and its width
is 200 feet. A scale model of the building is 6
inches high. How wide is the scale model?
Answer:
50 in.
Step-by-step explanation:
Real building:
height 300 ft
width 200 ft
Model building:
height 6 in.
width 50 in.
300/6=50
Hope this helps! :) :)
The scale model of building is 4 inches wide.
The height of a building is 300 feet
its width is 200 feet
A scale model of the building is 6 inches high
The ratio can be defined as the comparison of the fraction of one quantity towards others. e.g.- water in milk.
let scale model of the building is "x" inches wide.
= 300/6 = 200/x
x = 4
Thus, The scale model of building is 4 inches wide.
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Help me answer this PLEASE !!
Answer:
1. A = 2184 yd. P = 212 yd.
Step-by-step explanation:
1. To find the perimeter of an object you need to do this formula: 2L * 2W which is 2 times the length times 2 times the width.
To find the Area you have to do this formula: H * W which means height times width.
2. They would need the area to fill the rectangle since you need to fill it and the area is the inside of the rectangle
3. She will need the perimeter since she is walking around the field and the perimeter is the outside (around) the shape.
Please help me match these formulas thank you :)
Answer:
Circle Circumference: 5
Triangle: 8
Circle Area: 3
Regular Polygon: 7
Parallelogram:6
Equilateral triangle: 1
Trapezoid:4
Rectangle:2
Step-by-step explanation:
I don't know how I would do a step by step explanation
2. In the diagram below, angle AOB = 66°
Find angle OAB, giving reasons for your answer.
Answer:
57°
Step-by-step explanation:
Δ AOB has 2 equal sides as radius of the circle, this is isosceles triangle
So the angles ∠OAB= ∠OBA
∠AOB= 66° and sum of 3 angles = 180°
So ∠OAB= (180° - 66°)/2= 57°
Which of the following is NOT a solution to the system of inequalities?
a. (0, 4)
b. (2, 1)
c. (1, 5)
d. (1, 2)
Answer:
(2,1)
Step-by-step explanation:
The point (2,1) is the only point that is not included in the shaded region so I would assume that it's not a solution to the system.
how many real roots and how many complex roots are possible with a root of 9
Answer:
12
Step-by-step explanation:
because the more the root the faster the plant grows
The distance between Chicago and Cleveland is
354 miles. If a person leaves Chicago at 9:50
AM. Central Time and arrives in Cleveland at
5:30 PM the same day Eastern Time, at what
average speed, to the nearest mile, does he
travel?
A)46MPH
B)50MPH
C)53MPH
D)55MPH
Answer:
The average speed on this trip was 46.15 mph. The correct option is A.
Step-by-step explanation:
In order to calculate the average speed, we need to apply the following formula:
[tex]v_{avg} = \frac{\text{distance}}{\text{time}}[/tex]
We were given the distance between the two cities in miles, therefore we can directly apply it to the expression. Although the time was given in the hh:mm 12 h format and we need a diference in hours, so we will convert that as shown below:
[tex]\text{time departure} = 9 + \frac{50}{60} = 9.83 \text{ h}[/tex]
[tex]\text{time arrival} = 12 + 5 + \frac{30}{60} = 17.5[/tex]
The elapsed time of the trip is the difference between these:
[tex]\text{time} = 17.5 - 9.83 = 7.67 \text{ h}[/tex]
We can now apply it to the formula:
[tex]v_{avg} = \frac{354}{7.67} = 46.15 \text{ mph}[/tex]
The average speed on this trip was 46.15 mph. The correct option is A.
David and Amanda are trying to figure out how long they can live off their $12,350 savings if they spend $240 each month. They have each created an equation.
David’s Equation y = 12,350 – (240x)
Amanda’s Equation y = 12,350 + (240x)
Which person has the correct equation to model this linear relationship?
1. Amanda’s equation is correct because their spending will be multiplied by the number of months and then added to their savings.
2. Amanda’s equation is incorrect because their spending will increase the amount of their savings.
3. David’s equation is correct because their spending will be multiplied by the number of months and then subtracted from their savings.
4. David’s equation is incorrect because their spending should be a fixed amount and should not be multiplied.
Hey there! :)
Answer:
Choice 3: David's equation is correct because their spending will be multiplied by the number of months and then subtracted from their savings.
Step-by-step explanation:
In the question, $12,350 is given as the initial value and '240x' is the monthly spending in terms of x.. When writing the equation, we must subtract 240x because the money is being spent.
The correct equation for this situation would be:
y = 12,350 - (240x).
Thus, David's Equation is correct.
PRE CALC PLEASE HELP PLEASE
Answer:
The statement is true
Step-by-step explanation:
We have been given an equation of hyperbola
In the given equation of hyperbola center is located at h at -1 and k at 2. so:
C:(h,k) = (-1,2)
Coordinated of the foci of the hyperbola are given as:
Foci: (h, k ± c)
Substitute the values of h and k into the coordinated of foci of hyperbola.
Foci: (-1, 2 ± c)
Where c can be found by using the given formula
c = √(a²+b²)
c = √(16+144)
c = 4√10
So the the coordinates of the foci are:
Foci: (-1, 2 - 4√10) and (-1, 2 + 4√10)
Thus, the statement given is true
In a Harris poll of 514 human resource professionals, 90% said that the appearance of a job applicant is most important for a good first impression. Among the 514 human resource professionals who were surveyed, how many of them said that the appearance of a job applicant is most important for a good first impression? Construct a 99% confidence interval estimate of the proportion of all human resource professionals believing that the appearance of a job applicant is most important for a good first impression. Repeat part (b) using a confidence level of 80%. Compare the confidence levels from parts (b) and (c) and identify the interval that is wider. Why is it wider?
Answer:
( a ) 463 " human resource professionals " believe that the appearance of a job applicant is most important for a good first impression
( b ) Percent wise the confidence interval should be from about 86.6% to 93.4%
Step-by-step explanation:
I believe these first two parts here is sufficient enough to get you started!
" In a Harris poll of 514 human resource professionals, 90% said that the appearance of a job applicant is most important for a good first impression. Part A: Among the 514 human resource professionals who were surveyed, how many of them said that the appearance of a job applicant is most important for a good first impression?
Part B: Construct a 99% confidence interval estimate of the proportion of all human resource professionals believing that the appearance of a job applicant is most important for a good first impression. "
_____
( a ) We are given that n = 514, and p = 90%. The number of human resource professionals that said that the appearance of a job applicant is most important for a good first impression, should be the following -
514 x [tex]\frac{90}{100}[/tex]
= [tex]\frac{46260}{100}[/tex]
= 462.6
As the count of people can't be expressed as a fraction, the solution should be about 463 " human resource professionals. "
_____
( b ) Here the confidence level is 0.99 percent. Knowing that -
1 - ∝ = 0.99,
∝ = 1 - 0.99... = 0.01
Therefore, a 99% confidence interval estimate of the proportion of all human resource professionals believing that the appearance of a job applicant is most important for a good first impression should be calculated as directed in the attachment. By that the interval ranges as such -
0.8659 < p < 0.9341
And percent wise the confidence interval should be from about 86.6% to 93.4%
Consider the system of equations in standard form. 5x + y = 25, x + 5y = –25 Keisha used the graphing calculator and identified the solution as (6, –6). Is she correct? If not, what was her mistake? Yes, Keisha is correct. No. She switched the x and y values No. She only estimated instead of hovering over the intersection to find the exact point. No. She picked a point on one line instead of the intersection point.
Answer:
No. She only estimated instead of hovering over the intersection to find the exact point.
Step-by-step explanation:
I used a graphing tool to graph the two lines. They pass at (6.25, -6.25). Since Keisha said the solution was (6, -6), which is not correct, she has most likely rounded the two values instead of finding the exact one.
Answer:
No. She used the wrong slopes when graphing the equations.
hope this helps i did it in Edge and got it right
mark me brainliest pls
WXY is congruent to CBA, If
Answer:
If they are opposite.
When converting a improper fraction into a mixed number how do you find the denominator for the mixed number?
answer: the denominator of the improper fraction is the sum of the numerator and the product of denominator and the whole number of the mixed fraction.
Answer:
It is the same denominator of the fraction.
Step-by-step explanation:
[tex]1\frac{1}{5} = \frac{x}{y}[/tex]
[tex]1\frac{1}{5} = \\1=\frac{5}{5}\\\frac{1}{5} = \frac{1}{5}\\\frac{5}{5} +\frac{1}{5} =\frac{6}{5}[/tex]
WILL AWARD BRAINLIEST PLEASE HELP!!!
Answer:
A
Step-by-step explanation:
ASAP PLEASE+ brainliest
Answer:
-2b, b/12, -0.9b
Step-by-step explanation:
They all contain the same variable, B
Answer:
B, D, and E
Step-by-step explanation:
The only terms that can be combined are like terms. The 3 like terms in this expression are the b terms: -2b, b/12, and -0.9b. These 3 can be combined since they are like terms.
Hope this helps! Plz give me brainliest, it will help me achieve my next rank.
Identify the lateral area and surface area of a right cone with radius 7 cm and slant height 15 cm a. L = 329.9 cm2 ; S = 373.9 cm2 b. L = 329.9 cm2 ; S = 483.8 cm2 c. L = 659.7 cm2 ; S = 483.8 cm2 d. L = 659.7 cm2 ; S = 813.6 cm2
Answer:
Step-by-step explanation:
a.
L
=
329.9
c
m
2
;
S
=
373.9
c
m
2
.
b.
L
=
659.7
c
m
2
;
S
=
483.8
c
m
2
.
c.
L
=
659.7
c
m
2
;
S
=
813.6
c
m
2
.
d.
L
=
329.9
c
m
2
;
S
=
483.8
c
m
2
.
Surface Area of a Cone:
In the three dimensional geometry, a cone is a shape that has a circular base and a lateral surface is associated with a vertex and the base.
The height of the cone is the length of a line segment that joins the base to the vertex of the cone.
The radius of the cone is the same as the radius of the base.
Surface area of a cone
(a) Lateral Surface Area
If
l
and
r
are the slant height and radius of a cone then its lateral surface area is given by the formula-
L
=
π
r
l
where
L
is the lateral surface area of the cone
(b) Total surface area
It is the sum of the area of the circular base and the lateral surface area of the cone.
S
=
L
+
π
r
2
S
=
π
r
l
+
π
r
2
Where
S
is the total surface area of the cone
Answer and Explanation:
Given that the radius and slant height of a right cone is
7
c
m
and
15
c
m
respectively
r
=
7
c
m
l
=
15
c
m
So the lateral surface area of the cone-
L
=
π
r
l
L
=
π
(
7
)
(
15
)
L
=
105
π
L
=
105
(
3.14159
)
L
=
329.866
L
≈
329.9
c
m
2
And the total surface area of the cone-
S
=
L
+
π
r
2
S
=
329.9
+
π
(
7
)
2
S
=
329.9
+
49
(
3.14159
)
S
=
329.9
+
153.937
S
=
483.83
c
m
2
So the lateral area and total area of a right cone are
329.9
c
m
2
and
483.8
c
m
2
respectively.
Answer:
Step-by-step explanation:
Step-by-step explanation:
a.
L
=
329.9
c
m
2
;
S
=
373.9
c
m
2
.
b.
L
=
659.7
c
m
2
;
S
=
483.8
c
m
2
.
c.
L
=
659.7
c
m
2
;
S
=
813.6
c
m
2
.
d.
L
=
329.9
c
m
2
;
S
=
483.8
c
m
2
.
Surface Area of a Cone:
In the three dimensional geometry, a cone is a shape that has a circular base and a lateral surface is associated with a vertex and the base.
The height of the cone is the length of a line segment that joins the base to the vertex of the cone.
The radius of the cone is the same as the radius of the base.
Surface area of a cone
(a) Lateral Surface Area
If
l
and
r
are the slant height and radius of a cone then its lateral surface area is given by the formula-
L
=
π
r
l
where
L
is the lateral surface area of the cone
(b) Total surface area
It is the sum of the area of the circular base and the lateral surface area of the cone.
S
=
L
+
π
r
2
S
=
π
r
l
+
π
r
2
Where
S
is the total surface area of the cone
Answer and Explanation:
Given that the radius and slant height of a right cone is
7
c
m
and
15
c
m
respectively
r
=
7
c
m
l
=
15
c
m
So the lateral surface area of the cone-
L
=
π
r
l
L
=
π
(
7
)
(
15
)
L
=
105
π
L
=
105
(
3.14159
)
L
=
329.866
L
≈
329.9
c
m
2
And the total surface area of the cone-
S
=
L
+
π
r
2
S
=
329.9
+
π
(
7
)
2
S
=
329.9
+
49
(
3.14159
)
S
=
329.9
+
153.937
S
=
483.83
c
m
2
So the lateral area and total area of a right cone are
329.9
c
m
2
and
483.8
c
m
2
respectively.
The function h(x) is a translation of the exponential function g(x) = 9(1∕6)x. What's h(x) if the translation is a vertical shrink by a factor of 1∕3 and horizontal shift to the left 4 units?
Answer: h(x) = 3*(1/6)^(x + 4)
Step-by-step explanation:
if we have a function g(x), and we want to create another function h(x) such that:
h(x) is a vertical contraction/dilation of factor a.
Then h(x) = a*g(x).
h(x) is a right shift of N units (N positive):
h(x) = g(x - N)
Then:
A vertical shink of factor 1/3 means that:
h(x) = (1/3)*g(x)
And a left shift of 4 units (or a right shift of -4 units) means that
h(x) = (1/3)g(x - (-4)) = (1/3)*g(x + 4)
and we know that:
g(x) = 9*(1/6)^x
Then:
h(x) = (1/3)*9*(1/6)^(x + 4) = 3*(1/6)^(x + 4)