Answer:
[tex]14 + x \leqslant 26 \\ x \leqslant 26 - 14 \\ { \tt{x \leqslant 12}}[/tex]
Alexia veut préparer un cocktail original
Answer:
????????????????????
linar system in variables
-x-3y-2z=8,
-x+y+6z=,
x-9y-2z=4
Answer:
-x+y+6z=? You did not spcify so I just made it 0
x = -22/5, y = -4/5, z = -3/5
Step-by-step explanation:
Solve the following system:
{-x - 3 y - 2 z = 8 | (equation 1)
-x + y + 6 z = 0 | (equation 2)
x - 9 y - 2 z = 4 | (equation 3)
Subtract equation 1 from equation 2:
{-x - 3 y - 2 z = 8 | (equation 1)
0 x+4 y + 8 z = -8 | (equation 2)
x - 9 y - 2 z = 4 | (equation 3)
Divide equation 2 by 4:
{-x - 3 y - 2 z = 8 | (equation 1)
0 x+y + 2 z = -2 | (equation 2)
x - 9 y - 2 z = 4 | (equation 3)
Add equation 1 to equation 3:
{-x - 3 y - 2 z = 8 | (equation 1)
0 x+y + 2 z = -2 | (equation 2)
0 x - 12 y - 4 z = 12 | (equation 3)
Divide equation 3 by 4:
{-x - 3 y - 2 z = 8 | (equation 1)
0 x+y + 2 z = -2 | (equation 2)
0 x - 3 y - z = 3 | (equation 3)
Swap equation 2 with equation 3:
{-x - 3 y - 2 z = 8 | (equation 1)
0 x - 3 y - z = 3 | (equation 2)
0 x+y + 2 z = -2 | (equation 3)
Add 1/3 × (equation 2) to equation 3:
{-x - 3 y - 2 z = 8 | (equation 1)
0 x - 3 y - z = 3 | (equation 2)
0 x+0 y+(5 z)/3 = -1 | (equation 3)
Multiply equation 3 by 3:
{-x - 3 y - 2 z = 8 | (equation 1)
0 x - 3 y - z = 3 | (equation 2)
0 x+0 y+5 z = -3 | (equation 3)
Divide equation 3 by 5:
{-x - 3 y - 2 z = 8 | (equation 1)
0 x - 3 y - z = 3 | (equation 2)
0 x+0 y+z = -3/5 | (equation 3)
Add equation 3 to equation 2:
{-x - 3 y - 2 z = 8 | (equation 1)
0 x - 3 y+0 z = 12/5 | (equation 2)
0 x+0 y+z = -3/5 | (equation 3)
Divide equation 2 by -3:
{-x - 3 y - 2 z = 8 | (equation 1)
0 x+y+0 z = -4/5 | (equation 2)
0 x+0 y+z = -3/5 | (equation 3)
Add 3 × (equation 2) to equation 1:
{-x + 0 y - 2 z = 28/5 | (equation 1)
0 x+y+0 z = -4/5 | (equation 2)
0 x+0 y+z = -3/5 | (equation 3)
Add 2 × (equation 3) to equation 1:
{-x+0 y+0 z = 22/5 | (equation 1)
0 x+y+0 z = -4/5 | (equation 2)
0 x+0 y+z = -3/5 | (equation 3)
Multiply equation 1 by -1:
{x+0 y+0 z = -22/5 | (equation 1)
0 x+y+0 z = -4/5 | (equation 2)
0 x+0 y+z = -3/5 | (equation 3)
Collect results:
Answer: {x = -22/5, y = -4/5, z = -3/5
what is the measure of <B, in degrees.
Answer:
32
Step-by-step explanation:
The base angles of the triangle are the same since the sides are the same
<C = 74
A+B+C = 180 since the sum of the angles of a triangle = 180
74+B+74=180
Combine like terms
148+B =180
B = 180-148
B = 32
Answer:
[tex]\text{A. }32^{\circ}[/tex]
Step-by-step explanation:
From the Isosceles Base Theorem, the two base angles of a isosceles triangle are equal. Therefore, [tex]\angle A=\angle C=74^{\circ}[/tex].
Since the sum of the interior angles of a triangle is always equal to 180 degrees, we can write the following equation:
[tex]\angle A+\angle B+\angle C=180[/tex]
Substitute [tex]\angle A=\angle C=74^{\circ}[/tex] into this equation to solve for [tex]\angle B[/tex]:
[tex]74+\angle B+74=180,\\\angle B=180-74-74=\boxed{32^{\circ}}[/tex]
plzz help ill mark u brainliest
A. Angle 4 is congruent to.
b. Angle 5 is congruent to.
c. The sum of angles 1,4 and 5 equals.
d. Therefore the sum of angles of 1, 2, and 3 equals
Answer:
a. angle 4 is congruent to angles 1, 2, 3, 5
b angle 5 is congruent to angles 1, 2, 3, 4
c. the sum of angles 1, 4, and 5 is 180°
d. The sum of angles 1, 2, and 3 is 180 °
Step-by-step explanation:
a. all angles are the same measurement
b. all angles are the same measurement, you know this by measuring
c. they are on a striaght 180 degree line
d. the sum of a triangles angles are always 180 degrees
If 3w +6=21 find the value of w
Answer:
[tex]3w + 6 = 21 \\ 3w = 15 \\ w = 5[/tex]
Hey there!
[tex]\mathsf{3w + 6 = 21}[/tex]
SUBTRACT 6 to BOTH SIDES[tex]\mathsf{3w + 6 - 6 = 21 - 6}[/tex]
CANCEL out: 6 - 6 because that gives you 0 KEEP: 21 - 6 because it helps you solve for w[tex]\mathsf{21 - 6 = \boxed{\bf 15}}[/tex]
NEW EQUATION: [tex]\mathsf{3w = 15}[/tex]DIVIDE 3 to BOTH SIDES[tex]\mathsf{\dfrac{3w}{3}=\dfrac{15}{3}}[/tex]
CANCEL out: [tex]\mathsf{\dfrac{3}{3}}[/tex] because that gives you 1KEEP: [tex]\mathsf{\dfrac{15}{3}}[/tex] because that gives you the value of wNEW EQUATION: [tex]\mathsf{\dfrac{15}{3}=w}[/tex][tex]\mathsf{\dfrac{15}{3}=\boxed{\bf 5}}[/tex]
[tex]\boxed{\boxed{\large\textsf{Therefore, your answer: \huge \bf w = 5}}}\huge\checkmark[/tex]
[tex]\large\text{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
Simplify Simplify 1 ∙ x - x/1
A. x
B. 1
C. 0
Answer:
0
Step-by-step explanation:
when the term has a coefficient of, it does not have to be written.
x- X/1
The sum of two opposites equals o
So the solution would be o
The measures of the angles of triangle ABC are 6x -7; 3x +10; and 10x +25 respectively.Find the measure of each angle of triangle ABCWhat type of triangle is ABC? Explain.
Answer:
41, 34, 105
Step-by-step explanation:
Given that :
Measure of angles :
6x -7; 3x +10; and 10x +25
Recall; sum of angles in a triangle is 180
(6x - 7) + (3x + 10) + (10x + 25) = 180
6x - 7 + 3x + 10 + 10x + 25 = 180
6x + 3x + 10x - 7 + 10 + 25 = 180
19x + 28 = 180
19x = 180 - 28
19x = 152
x = 8
Hence,
6x - 7 = 6(8) - 7 = 41
3x + 10 = 3(8) + 10 = 34
10x + 25 = 10(8) + 25 = 105
7,35,175, 875,... find the 10th term
Which algebraic expression is equivalent to the expression below? 2(3 + 5x) + 24 A. 10x - 30 B. 10x + 18 C. 5x + 30 D. 10x + 30
Answer:
10x +30
Step-by-step explanation:
2(3 + 5x) + 24
Distribute
2*3 + 2*5x+24
6+10x+24
Combine like terms
10x +30
SOMEONE HELP ME PLEASE
Answer:
x=8
Step-by-step explanation:
the y-value in the first pair decreased by half, so the x-value must double due to inverse variation.
Which lists all the factors of 78?
A. 1, 2, 3, 6, 13, 26, 39, 78
B. 1, 2, 4, 19, 39, 78
C. 1, 2, 6, 13, 39, 78
D. 2, 3, 6, 13, 26, 39
Answer:
1, 2, 3, 6, 13, 26, 39, 78
Answer:
Factors of 78: 1, 2, 3, 6, 13, 26, 39, and 78.
Step-by-step explanation:
I hope this helps!!!!!
Amanda is reading a book that has 125 pages. She has read 12 pages a day for 4 days in a row.
How many more pages does Amanda have left to read?
The manager of the dairy section of a large supermarket chose a random sample of 250 egg cartons and found that 30 cartons had at least one broken egg. let p denote the proportion of all cartons which have at least one broken egg. Find a point estimate for p and also construct a 90% confidence interval for p.
Answer:
The point estimate for p is of 0.12.
The 90% confidence interval for p is 0.0862 < p < 0.1538.
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the z-score that has a p-value of [tex]1 - \frac{\alpha}{2}[/tex].
The manager of the dairy section of a large supermarket chose a random sample of 250 egg cartons and found that 30 cartons had at least one broken egg.
This means that [tex]n = 250, \pi = \frac{30}{250} = 0.12[/tex]
The point estimate for p is of 0.12.
90% confidence level
So [tex]\alpha = 0.1[/tex], z is the value of Z that has a p-value of [tex]1 - \frac{0.1}{2} = 0.95[/tex], so [tex]Z = 1.645[/tex].
The lower limit of this interval is:
[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.12 - 1.645\sqrt{\frac{0.12*0.88}{250}} = 0.0862[/tex]
The upper limit of this interval is:
[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.12 + 1.645\sqrt{\frac{0.12*0.88}{250}} = 0.1538[/tex]
The 90% confidence interval for p is 0.0862 < p < 0.1538.
Multiply.
3,672 × 4
Enter your answer
if 2 newspapers cost 3 dollars how much does 1 newspaper cost
Answer:
x = 1.50
Step-by-step explanation:
We can use a ratio to solve
2 papers 1 paper
------------- = --------------
3 dollars x dollars
Using cross products
2x = 3*1
2x=3
Divide by 2
2x/2 = 3/2
x = 1.50
Answer:
$1.50
Step-by-step explanation:
example;
2/3=1.50
Have a great day <3
If a decagon is a regular decagon, then what is the measure of each interior angle?
a. 150°
b. 162°
c. 144°
d. 240°
Answer: the answer is 144 i kinda had the answer already
Step-by-step explanation:
Answer:
c. 144
Step-by-step explanation:
In a regular polygon, each interior angle has the same measure. There is a formula to find the angle given the number of sides. We are looking at a decagon, which has ten sides, so we would plug the value 10 into the following formula:
[tex]\frac{180(n-2)}{n}\\\frac{180(10-2)}{10} \\\frac{180*8}{10} \\18*8\\144[/tex]
This is option c.
STEM:
If you can rewrite a quadratic equation as a product of factors that equals zero, you
can solve the equation. To solve equations in this manner, you must use all your
factoring skills.
Example:
What are the solutions of the equation x2– x = 20?
First rewrite the equation so that one side equals zero.
x2– x = 20
x2 – x – 20 = 20 – 20
x2 – x – 20 = 0
Subtract 20 from each side.
Simplify.
Now, factor to rewrite the equation as a product of factors equal to zero. Find two
integers whose product is –20 and whose sum is –1. The product of 4 and –5 is
–20, and the sum of 4 and –5 is –1.
x + 4 = 0
x + 4 – 4 = 0 – 4
x = –4
x2 – x – 20 = 0
(x + 4)(x – 5) = 0
or
or
or
x – 5 = 0
x – 5 +5 = 0 +5
x = 5
The solutions are –4 and 5.
These "solutions" tell us where our quadratic function passess through the x-axis (ie this tells us the "roots" aka "x -intercepts" aka "zeros" aka "solutions" aka "zeros" are)
Question:
In the graph provided in the example, what do the coordinates (-4,0) and (5,0) represent?
A
The y- intercept of the function (ie where the function passes through the y-axis)
B
The x-intercept of the function (ie where the function passes through the x-axis)
C
The vertex of the function
D
none of the above
E
the zeros of the quadratic function
F
the roots of the quadratic function
9514 1404 393
Answer:
A, E, F
Step-by-step explanation:
Every point on the graph has coordinates (x, f(x)). This means a point such as (-4, 0) or (5, 0) is a point on the x-axis where f(x) = 0. It is all of ...
an x-intercepta root of the functiona zero of the functionThese terms are used essentially interchangeably.
3. 72 in. ___ = ft help
Answer:
6 feet
Step-by-step explanation:
Answer:
72in is 6 feet
Step-by-step explanation:
Find the volume of the cubes or rectangular prisms in cubic centimeters.
SS
8
125 cm
126cm
ਹੈ।
135cm
rectangular prism with a length,
width and height of 5 cm. 5 cm.
and 5 cm, respectively
cube with a side length of 5 cm
of a
cube with a side length of 5 cm
rectangular prism with a length,
width and height of 5 cm 5 cm.
and 5 cm, respectively
Answer:
ans : it is order wise
a) 6/125 cm³
b) 8/125 cm³
c) 1/125 cm³
d) 36/125 cm³
Step-by-step explanation:
a)
for rectangular prism = length × width × height
= (1/5) × (2/5) × (3/5)
= 6/125 cm³
b)
for cube = length³
= (2/5)³
= 8/125 cm³
c)
for cube = (1/5)³
= 1/125 cm³
d)
for rectangular prism = (3/5) × (4/5) × (3/5)
= 36/125 cm³
TEST I - Reading and Writing Numbers. (15 points) (15 minutes)
A. Read these numbers. (1 point per item=5 points) (5 minutes)
1.) 3/4
2.) P 12 131 267. 25
3.) 75%
4.) 1256
5.) 12:26
Answer:
Step-by-step explanation:
1)
Three-Fourth
2)
Twelve Million One Hundred Thirty One Thousand Two Hundred Sixty Seven and Twenty Five Hundredths
3)
Seventy Five Percentage
4)
One Thousand Two Hundred and Fifty Six
5)
Twelve is to Twenty Six
Please assist, I'm really bad with word problems
Answer:
The surface area of the balloon is [tex]S(t) = \frac{100}{49} \pi t^8[/tex]
Step-by-step explanation:
Given;
S(r) = 4πr²
where;
S is the surface area of the balloon
r is the radius of the surface
The radius of the balloon at time "t" is given as;
[tex]r(t)= \frac{5}{7} t^4 \ \ \ t\geq 0[/tex]
The surface area of the balloon as a function of time "t" is calculated as;
[tex]S(t) = 4\pi (\frac{5}{7} t^4)^2\\\\S(t) = 4\pi (\frac{25}{49} t^8)\\\\S(t) = \frac{100}{49} \pi t^8[/tex]
Decide whether the equation describes a function.
y = - 4x-1
Does the equation describe a function?
Yes
Νο.
Answer:
[tex]{ \tt{yes \: it \: describes \: a \: functional \: equation \: of \: a \: line}}[/tex]
Select the correct answer. Which graph represents the solution to the inequality?
Answer:
A
Step-by-step explanation:
First you simplify both sides to get -2.4x+14.4 > 52.8
then you need to subtract the 14.4 from both sides giving -2.4x> 38.4
then divide both sides by -2.4 giving an answer of
x is less than or equal to -16 meaning you point to the left with a closed circle
Que número es menor que 2 1/2?
a-6/3
b-7/2
c-3
d-4
Please help . Stuck
Answer:
[tex] - \frac{9}{2} [/tex]
Step-by-step explanation:
Rate of change of y with respect to x
[tex] = \frac{60 - 96}{ - 12 - ( - 20)} \\ \\ = \frac{ - 36}{ - 12 + 20} \\ \\ = \frac{ - 36}{ 8} \\ \\ = - \frac{9}{2} [/tex]
I need to calculate the surface area and volume of this figure.
but am not pretty sure
the volume of cone is =1/3 pie r² h
I think this is the formula to calculate it
Mike works h hours in a week. To find his weekly pay he multiplies his hours by his pay of $24 per
hour and adds $6 for his sales bonus. He's decided that he wanted to take one-sixth of his weekly
pay and place it in his savings. Which simplified expression represents the amount that will go into
his savings each week?
Step-by-step explanation:
let n be the number of working hour
so total income is 24n + 6
now 1/6 of the income will be into saving
so the saving is (24n + 6) /6
The expression representing the amount that will go into his savings each week is $4h + $1.
What is Expression?An expression is combination of variables, numbers and operators.
Mike's weekly pay is given by:
Pay = (hourly rate) x (hours worked) + sales bonus
Pay = $24h + $6
To find one-sixth of his weekly pay, we can multiply his pay by 1/6:
Savings = (1/6) x Pay
Savings = (1/6) x ($24h + $6)
Savings = $4h + $1
Therefore, the simplified expression representing the amount that will go into his savings each week is $4h + $1.
To learn more on Expressions click:
https://brainly.com/question/14083225
#SPJ2
Pls helllllpppppp!!! I don’t want anymore lectures from my parents and I don’t want to be the bad guy anymore. I need my grades up so pls no links or fake answers.
Your mom suggested ten different choices for you to eat for dinner over the next week. How many different ways can you choose your dinner?
A. 120
B. 240
C. 720
D. 960
Answer: I think the answer is 120
Step-by-step explanation:
I'm not sure tho
what is the circumference of circle with a diameter of 9 feet? Use 3.14 for tt
Answer:
28.26
Step-by-step explanation:
The formula for calculating diameter is πd (pi times the diameter), so 3.14 times 9 is 28.26.
What would be the correct answer for this?
First let's understand the discriminant. Discriminant is an equation of D = b²-4ac. Discriminant is to find how many solutions do the equation have. In case for Quadratic Equation, there are 3 types of solutions which are:
No solutions or D < 0 — When D < 0, the equation does not have real roots.One solution or D = 0 — When D = 0, the equation has one real root. Two solutions or D > 0 — When D > 0, the equation has two real roots.To find discriminant graphically, we need to know that the x-axis plane represents the solutions to the equations. All equations can be drawn as a graph. Some graphs do not intersect x-axis while some graph do.
If a graph intersects x-axis, the equation for that graph has solutions. If a graph doesn't intersect x-axis, the equation doesn't have any real solutions.You may also notice that some graphs intersect x-axis more than one point. Like I said that the x-axis represents the roots or the solutions. Intersecting x-axis "n" times means that the equation has "n" roots.
For example, if a graph intersects x-axis 8 points - the equation has 8 roots or solutions.
From the graph, the parabola intersects on x-axis just only one point. That means there is only one solution. The question asks to find the discriminant of the function. Recall that if D = 0, there's only one real root. Therefore the discriminant for the function is zero.
Answer
The discriminant for function is zero.Let me know if you have any doubts!
