Answer:
x = 4
Step-by-step explanation:
We would like to find the value of x such that:
2x + 1 = (8x + 5) + 20
Here, notice that the "+ 20" part mathematically represents the "twenty greater" phrase in the problem.
Now, we simply solve for x:
2x + 1 = 8x + 5 + 20
2x + 1 = 8x + 25
6x = 24
x = 4
The answer is thus 4.
~ an aesthetics lover
Answer:
x = -4.
Step-by-step explanation:
The question asks when is 2x + 1 20 more than 8x + 5, which is the same thing as when is 2x + 1 equal to 20 plus 8x plus 5.
2x + 1 = 8x + 5 + 20
2x - 8x = 25 - 1
-6x = 24
x = -4
Hope this helps!
Which of the equations are true identities n^3+3n^2
Answer:
n^2(n + 3)
Step-by-step explanation:
n^3 + 3n^2 factors as follows: n^2(n + 3). Note that this is an expression, not an equation.
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.
6f = 24 pls help!!!!!!!!!!!!!!
Answer:
f=4
Step-by-step explanation:
6f = 24
÷6 ÷6
f=4
Answer:
f = 4
Step-by-step explanation:
6f = 24
f = 24/6
f = 4
Please help i will mark brainliest for correct answers!
Answer:
9) 1/2 (or 1:2, or 50%, or .50, depending on how your teacher wants it.
10) 2/3 (or 2:3, or 66.6%, or 0.66)
Step-by-step explanation:
9) Here are the possibilities of the cards you could pick
KQ, KJ, K10, QJ, Q10, J10
Since there are 6 possibilities and only 3 of them have one face card, the probability is 3/6, or 1/2.
10) It doesn’t matter which card you pick first. The second card has a 1 in 3 chance of being the same card (whatever it is). That means you have a 2 in 3 chance of it NOT being the same card. So the probability is 2/3.
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°
Someone explain this to me
Answer: a) y = f(x - 6)
b) y = f(x) - 2
Step-by-step explanation:
For transformations we use the following formula: y = a f(x - h) + k
a = vertical stretchh = horizontal shift (positive = right, negative = left)k = vertical stretch (positive = up, negative = down)a) f(x) has a vertex at (-1, 1)
M has a vertex at (5, 1)
The vertex shifted 6 units to the right → h = +6
Input h = +6 into the equation and disregard "a" and "k" since those didn't change. ⇒ y = f(x - 6)
b) f(x) has a vertex at (-1, 1)
N has a vertex at (-1, -1)
The vertex shifted down 2 units → k = -2
Input k = -2 into the equation and disregard "a" and "h" since those didn't change. ⇒ y = f(x) - 2
Please answer this question now
Answer:
The midpoint is (8,9.5)
Step-by-step explanation:
The midpoint is found by averaging the x coordinates and the y coordinates
x = (x1+x2)/2 y = (y1+y2)/2
x = (13+3)/2 = 16/2 = 8
y = (5+14)/2 = 19/2 = 9.5
The midpoint is (8,9.5)
What is the slope of line a?
Answer:
-1/3
Step-by-step explanation:
Slope is defined as "rise over run". If you count out the units, you should be able to see that your rise is 1 and your run is 3 and is pointing downward, so your answer is -1/3.
Alternatively you could use Slope Formula: [tex]m = \frac{y2-y1}{x2-x1}[/tex]
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
For three consecutive numbers, the sum of the first number, twice the second, and 7
less than the third is 133. What are the three numbers?
Answer:
a = 34
b = 34
c = 36
Step-by-step explanation:
a ; b ; c = consecutive numbers =>
b = a + 1
c = a + 2
a + 2b + c - 7 = 133
a + 2(a + 1) + (a + 2) - 7 = 133
a + 2a + 2 + a + 2 - 7 = 133
4a = 133 + 7 - 4
4a = 136
a = 34
b = 34
c = 36
What is the solution to this system of linear equations?
y − x = 6
y + x = −10
1.(−2, −8)
2.(−8, −2)
3.(6, −10)
4.(−10, 6)
Answer:
(-8, -2)
Step-by-step explanation:
Combine these equations: You'll get 2y = -4, so that y = -2.
Substituting -2 for y in the second equation, you'll get -2 + x = -10, or x = -8
Thus the solution is (-8, -2)
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]
Learn more on Vectors here: https://brainly.com/question/21807172
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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
heeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeelp
Answer:
0.6 - 1/4
Convert the decimal to fraction
Thus
0.6 = 3/4
3/5 - 1/4
Find the LCM
the LCM is 20
We get
3/5 - 1/4 = (3(4) - 5)/ 20
= 12-5/20
= 7/20
2/5 + 0.75
0.75 = 3/4
Find the LCM
The LCM is 20
Thus
3/4 +2/5 = ( 3(5) + 2(4))/20
= 15 + 8 /20
= 23 / 20 or 1 3/20
1.75 - 1/6
Convert the decimal to fraction
1.75 = 7/4
Thus we get
7/4 - 1/6
Find the LCM
The LCM is 12
Thus
7/4 - 1/6 = ( 7(3) - 2)/12
= 21 - 2 / 12
= 19/ 12 or 1 7/12
3/10 + 2.125
Convert the decimal to fraction
2.125 = 17/8
Thus
3/10 + 17/8
Find the LCM
the LCM is 40
Thus
3/10 + 17/8 = ( 3(4) + 17(5))/40
= 12 + 85/40
= 97 /40 or 2 17/40
Hope this helps
Answer:
1.15
19/12
2.425
Step-by-step explanation:
2/5+0.75
2/5=4/10
4/10=0.4
0.75+0.4
1.15
1.75-1/6
1.75=7/4
7/4=14/8=21/12
21/12-2/12
19/12, or 1.5833...
3/10=0.3
0.3+2.125=2.425
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.
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
....................................................................
Answer:
C.
Step-by-step explanation:
The answer to this question is C. I learned this in 6th grade math and when i did i knew how to solve these by seeing the problem closely and using a calculator...for some of these questions you will have to divide or multiply by percentage.
hope this helped look at the comments below i gave u something..
In two or more complete sentences, compare the number of x-intercepts in the graph of f(x) = x^2 to the number of x-intercepts in the graph of g(x) = x^2 + 2. Be sure to include the transformations that occurred between the parent function f(x) and its image g(x).
Answer:
Step-by-step explanation:
To answer this question we should analyze both functions :
the intercepts with the x-axis are the numbers when a function f(x)=0here we must solve both equations :
x²=0x²+2=0the first one is obvious x=0 the scond is more interesting :
x²+2=0⇔x²=-2 wich is impossible since x²≥0 unless we use complex numbers .
So we notice thatf has one intercept.
we added 2 to f to get g but no real intercepts
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
PLEASE ANSWER ASAP I WILL MARK BRAINLY
Answer:
multiplication property of equality
Step-by-step explanation:
Since we are multiplying by the same amount on each side, we are using the multiplication property of equality
Answer: Multiplication Property of Equality
Step-by-step explanation:
This property states that while simplifying an expression, you can multiply both sides of the equation by any number, and it will stay true. This property is useful here, because multiplying a fraction by its reciprocal = 1, so the expression would become 1x=-128.
Hope it helps <3
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
BRAINLY: Ken is working this summer as part of a crew on a
farm. He earned $8 per hour for the first 10 hours he
worked this week. Because of his performance, his
crew leader raised his salary to $10 per hour for the
rest of the week. Ken saves 90% of his earnings from
each week. What is the least number of hours he
must work the rest of the week to save at least $270 for the week? Please show how you got your answer
Answer:
22 hours
Step-by-step explanation:
Ken saves 90% of his earnings.
So, he must earn
270/x =90/100
90x=270*100
90x=27,000
x=27000/90
=300
x=$300 to save $270
For starting 10hours, Ken earns $8 per hour so he earns total
$8*10 hours=$80
Now, Ken has to earn remaining
$220 at a rate of $10/hour, he must work for at least
$220/$10
=22hours
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 !
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.
Learn more about Ratio here:
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2xsquared +3x-20=0 solve using quadratic formula
Answer:
[tex]\frac{5}{2} ; -4[/tex]
Step-by-step explanation:
2x² + 3x - 20 = 0
a = 2 ; b = 3 ; c = -20
[ -b ± √(b² - 4ac) ] /2a = [-3±√(3²-4*2*-20]/2*2
= [-3±√(9+160)]/4
= [-3±√169 ]/4
= [-3± 13]/4
= [tex]\frac{-3+13}{4} ;\frac{-3-13}{4}\\\\=\frac{10}{4} ; \frac{-16}{4}\\\\=\frac{5}{2} , -4[/tex]
2x² + 3x - 20 = 0
2x² + 8x - 5x - 20 = 0
2x(x+4) - 5(x+4) = 0
(x+4)(2x-5) = 0
x+4 = 0
x = -4
2x - 5 = 0
2x = 5
x = 5/2
How many people are in the set C N D?
4
6
36
38
Answer:
A. 4 people
Step-by-step explanation:
Numbers 15, 3, 1, and 21 are all in common with C & D. This is totaled up to 4 people.
Answer: 4
Step-by-step explanation:
edge
WXY is congruent to CBA, If
Answer:
If they are opposite.
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%
(4x - 5y + 3z) + (-4x +5y +3z)
Answer:6z
Step-by-step explanation:
Question:
(4x - 5y + 3z) + (-4x +5y +3z)
First Step:
Remove parenthesis
4x - 5y + 3z + -4x +5y +3z
Second Step:
Add like terms
4x + -4x = 0
-5y + 5y = 0
3z + 3z = 6z
Final Answer
6z
<!> Brainliest is much Appreciated! <!>
Answer:
6z
Step-by-step explanation:
(4x - 5y + 3z) + (-4x +5y +3z)
Combine like terms
4x - 4x -5y +5y +3z+3z
0+0+6z
6z
plsss help me withhh mathhh
Answer:
c is right
Step-by-step explanation: