Answer:
Option (2)
Step-by-step explanation:
We have to draw a combined form of the two inequalities on a number line.
h ≥ -5 and h < 2
For h ≥ -5,
We will draw an arrow starting from (-5) with a dark circle heading towards positive integers on a number line.
For h < 2,
We will draw an arrow starting from integer 2 with a hollow circle heading towards the negative integers on the number line.
By combining these inequalities we get a common segment between the integers -5 and 2 with a dark circle at (-5) and a hollow circle at (2).
Option (2) will be the answer.
Answer:
B
Step-by-step explanation:
E 2021
80 inches of snow over 10 days
Answer:
8-in of snow each day
Step-by-step explanation:
Answer:
8 inches of snow each day
Step-by-step explanation:
hope this helps :)
Help me asap i really need this
Answer:
3
Step-by-step explanation:
6/2
I hope this is right :)
Find the equation of the given parabola in vertex and standard form. Describe in words all transformations that have been applied to the graph of y=x^2 to obtain the given graph of the transformed function
Answer: [tex]a)\ \text{Vertex}:y=-\dfrac{3}{2}(x+1)^2+6[/tex]
[tex]b)\ \text{Standard}:y=-\dfrac{3}{2}x^2-3x=\dfrac{9}{2}[/tex]
c) Transformations: reflection over the x-axis,
vertical stretch by a factor of 3/2,
horizontal shift 1 unit to the left,
vertical shift 6 units up
Step-by-step explanation:
Intercept form: y = a(x - p)(x - q)
Vertex form: y = a(x - h)² + k
Standard form: y = ax² + bx + c
We can see that the new vertex is (-1, 6). Use the Intercept form to find the vertical stretch: y = a(x - p)(x - q) where p, q are the intercepts.
p = -3, q = 1, (x, y) = (-1, 6)
a(-1 + 3)(-1 -1) = 6
a (2)(-2) = 6
a = -6/4
a = -3/2
a) Input a = -3/2 and vertex (h, k) = (-1, 6) into the Vertex form to get:
[tex]y=-\dfrac{3}{2}(x+1)^2+6[/tex]
b) Input a = -3/2 into the Intercept form and expand to get the Standard form:
[tex]y=-\dfrac{3}{2}(x+3)(x-1)\\\\\\y=-\dfrac{3}{2}(x^2+2x-3)\\\\\\y=-\dfrac{3}{2}x^2-3x+\dfrac{9}{2}[/tex]
c) Use the Vertex form to identify the transformations:
[tex]y=-\dfrac{3}{2}(x+1)^2+6[/tex]
a is negative: reflection over the x-axis|a| = 3/2: vertical stretch by a factor of 3/2h = -1: horizontal shift left 1 unitk = +6: vertical shift up 6 units2. Calculate the length of the altitude h in ABC, given that m
Answer:
To find h the altitude we use sine
sin ∅ = opposite / hypotenuse
From the question
AC is the hypotenuse
h is the opposite
sin 29 = h / 23
h = 23 sin 29
h = 11.1506
h = 11.00mm to the nearest hundredth
Hope this helps you
definition and example of variable
Answer:
Step-by-step explanation:
Definition: A letter that is placed in an unknown number place.
Example: 8+B+9
The variable would be B.
Answer:
a varible is a unknown quanity that is represented by a letter for example 'x ' is an variable
Step-by-step explanation
PLEASE HELP ME WITH THIS
X is equal to 28
Hope this helps......
Pleaseee hellllpp!!!!
How many grams of AuCl3, if the compound has 6.3 x10^23 atoms of Cl?
Answer:
105.86 grams of AuCl3, if the compound has 6.3 x10^23 atoms of Cl.
Step-by-step explanation:
We are given that the compound has 6.3 x10^23 atoms of Cl.
To find how many molecules of AuCl3 are in the given compound, we divide the compound by 3, i.e;
[tex]\frac{6.3 \times 10^{23} }{3}[/tex] = [tex]2.1\times 10^{23}[/tex] molecules of AuCl3.
Now, as we know that 1 mole of AuCI3 has [tex]6.022 \times 10^{23}[/tex] molecules.
So, the moles that our compound has is given by;
= [tex]\frac{2.1 \times 10^{23} }{6.022 \times 10^{23} }[/tex] = [tex]\frac{2.1}{6.022}[/tex] = 0.349 mole AuCI3
Also, the molar mass of AuCI3 = 303.33 g/mole
So, the molar mass of 0.349 moles AuCI3 = [tex]303.33 \times 0.349[/tex]
= 105.86 g
Hence, 105.86 grams of AuCl3, if the compound has 6.3 x10^23 atoms of Cl.
Caitlyn started collecting shells in 2005. She records how many shells are in her collection each year.
Years since 2005 # shells
0 30
1 39
2 48
3 57
What is the initial value?
0
9
30
57
Answer:
30.
Step-by-step explanation:
The initial value is the value that she starts out with. This means that she is referring to year 0. According to the chart, on year 0, she collected 30 shells.
The answer is 30.
Which of these systems of linear equations has no solution?
2 x + 8 y = 15. 4 x + 16 y = 30.
2 x minus y = 18. 4 x + 2 y = 38.
4 x + 7 y = 17. 8 x minus 14 y = 36.
4 x minus 3 y = 16. 8 x minus 6 y = 34.
Answer:
4 x minus 3 y = 16. 8 x minus 6 y = 34 has no solution
Step-by-step explanation:
Examine the system
2 x + 8 y = 15
4 x + 16 y = 30
We see that these equations are identical except for a factor of 2, and thus recognize that this system has infinitely many solutions.
Next, look at the system
2 x minus y = 18
4 x + 2 y = 38
If we divide the second equation by 2, we get the system
2x - y = 18
2x + y = 19
Combining these two equations, we get 4x = 37, which has a solution.
Third, analyze the system
4 x + 7 y = 17 => 8x + 14y = 34
8 x minus 14 y = 36 => 8x - 14y = 36, or 16x = 70, which has a solution
Finally, analyze the system
4 x minus 3 y = 16 => -8x + 6y = -32
8 x minus 6 y = 34 => 8x - 6y = 34
If we combine these two equations, we get 0 + 0 = 2, which is, of course, impossible. This system has no solution.
Answer:
4 x minus 3 y = 16. 8 x minus 6 y = 34 has no solution. the 4th option.
Step-by-step explanation:
44. The length of a road is 380 m, correct to the nearest 10 m. Maria runs along this road at an average
speed of 3.9 m/s. This speed is correct to 1 decimal place. Calculate the greatest possible time taken by Maria
Answer:
Time = distance/speed
max distance = 380+10 = 390 m
Max Time = 390/3.9 = 100 s
I really need help pls
Answer:
D.
Step-by-step explanation:
Original dimensions:
L = x
W = x
Now we reduce the width by 2 ft and increase the length by 2 ft.
L = x + 2
W = x - 2
The area is the product of the length and width.
A = LW = (x + 2)(x - 2)
The original length and width are 10 ft.
L = W = x = 10
A = LW = (10 + 2)(10 - 2) = 12 * 8 = 96
The new area is 96 sq ft.
Answer: D.
please help I do not understand
calculate the coefficients of the first four terms of the binomial expansion for the binomial (x+y)^28
Answer:
The coefficients are;
1,28,378 and 3,276
Step-by-step explanation:
For the binomial expansion, when we talk of the coefficients, we mean the whole numbers that stands before the alphabets
For example, the coefficient of x in 2x is 2
Back to the question;
(x + y)^28
= 28C0 x^28y^0 + 28C1 X^27y^1 + 28C2 x^26y^2 + 28C3 x^25y^3 + ..........
So the coefficients we are looking for are;
28C0 = 1
28C1 = 28
28C2 = 378
28C3 = 3,276
Kindly note that 28C0 is read as 28 combination zero and so on
Bettina is measuring the food for her farm animals. She has 265 grams of corn, 500 grams of hay, and 495 grams of oats. What is the total weight in kilograms?
Answer
260 kilograms
Step-by-step explanation:
the correct answer is 260 kg
Answer: 12.6 kg
Step-by-step explanation: add the amounts of food for her farm, and just search for how many kg are in 1,260 grams
Need help with this ASAP (just ordered pairs!)
Answer:
Step-by-step explanation:
You have all your x values to the left. Just take 2 and multiply one by one.
Then in order to graph it, you would take (x,y) and plot it.
For example:
y=2x
y=2(5) = 10
(5,10) - you would plot this on the graph.
1. y = 2x
x | y = 2x | y
5 | y = 2(5) | 10
3 | y = 2(3) | 6
0 | y = 2(0) | 0
-1 | y = 2(-1) | -2
-5 | y = 2(-5) | -10
2. y = 1 + 5x
x | y = 1 + 5x | y
-2 | y = 1 + 5(-2) | -9
-1 | y = 1 + 5(-1) | -4
0 | y = 1 + 5(0) | 1
2 | y = 1 + 5(2) | 11
Which of the following linear equations passes through points (-1, 5) and (1, -5)? y = -5x y = 5x + 10 y = -2x + 3 None of these choices are correct.
Answer:
y = -5x
Step-by-step explanation:
Which of the following linear equations passes through points (-1, 5) and (1, -5)?
y = -5x
y = 5x + 10
y = -2x + 3
None of these choices are correct.
Solution:
First find slope of equation:
slope, m = (y2-y1) / (x2-x1) = (5-(-5) / (-1-1) = 10/(-2) = -5
Now substitute m in the point slope form to find the y-intercept b
y-y1 = m(x-x1)
y-5 = 5(x- -1)
y = -5(x+1) + 5
y = -5x
What is the only solution of 2x^+8=x^-16
Solve -27p²q²+6p³-2p⁴-q³
Answer:
-27p^2 q^2 +6p^3 -2p^4 -q^3
Step-by-step explanation:
COMBINE LIKE TERMS
y = 5x + 2 3x = –y + 10 What is the solution to the system of equations
Answer:
x = 1 , y = 7
Step-by-step explanation:
Solve the following system:
{y = 5 x + 2 | (equation 1)
3 x = 10 - y | (equation 2)
Express the system in standard form:
{-(5 x) + y = 2 | (equation 1)
3 x + y = 10 | (equation 2)
Add 3/5 × (equation 1) to equation 2:
{-(5 x) + y = 2 | (equation 1)
0 x+(8 y)/5 = 56/5 | (equation 2)
Multiply equation 2 by 5/8:
{-(5 x) + y = 2 | (equation 1)
0 x+y = 7 | (equation 2)
Subtract equation 2 from equation 1:
{-(5 x)+0 y = -5 | (equation 1)
0 x+y = 7 | (equation 2)
Divide equation 1 by -5:
{x+0 y = 1 | (equation 1)
0 x+y = 7 | (equation 2)
Collect results:
Answer: {x = 1 , y = 7
Answer:
D) (1,7)
Step-by-step explanation:
just took the test
show that the straight line x+y does not intersect the curve x^2-8x+y^2-12y+6=0 if k^2-20k+8>0
Use the function below to find Fl-2).
F(x) = 3x
There are ten people in the Baking Club, including Mark. They choose $3$ people to form an executive committee. How many possible committees can be formed that do not include Mark?
Answer:
504 committees
Step-by-step explanation:
In this scenario, there are 9 choices to choose the first person (not 10 because the committee should not include Mark), 8 choices for the second person and 7 choices for the last person so the answer is 9 * 8 * 7 = 504.
Angles C and D are complementary. The ratio of the measure of Angle C to the measure of Angle D is 2:3. What are the measures of both angles?
Answer:
36° and 54°
Step-by-step explanation:
Complementary angles are angles whose sum equals to 90°
Hence C +D = 90°
The ratio of C &D = 2:3 respectively
Sum of the ratio = 2+3 = 5
Hence we divide each of the ratio by the sum of the entire ratio and then multiply by 90°
For angle C :
2/5 × 90
2×18 = 36°
For angle D :
3/5× 90
3×18 = 54°
Hence the angles are 36° and 54° respectively
To proof that we are actually right
C+D = 90°
36+54 = 90°
Hence the answer is right.
A system of linear equations contains two equations with negative reciprocal slopes. Select all of the correct statements. A. The system may have no solution B. The system will have one solution C. The system will have two solutions D. The system may have infinitely many solutions
Answer:
B.
Step-by-step explanation:
"negative reciprocal slopes" means the lines are perpendicular, so they will always intersect.
Hence there will be exactly one solution.
B. The system will have one solution.
What is a negative reciprocal slope?The slopes of perpendicular strains, or bisecting strains, are continually terrible reciprocals of each other. For instance, if the slope of a line is -five, then the slope of a line perpendicular to this line will be the negative reciprocal of -five.
What is the system of two linear equations that have different slopes?If the 2 traces have exclusive slopes, then they'll intersect as soon as. consequently, the gadget of equations has exactly one answer. If the two traces have the equal slope however of kind y-intercepts, then they're parallel strains, and they'll by no means intersect.
Learn more about the system of linear equations here: https://brainly.com/question/14323743
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Help Please again ;-;
Answer:
Graph 1 shows a negative correlation, and graph 2 shows a positive correlation. This is because in graph one, as x increases, y decreases, and in graph two as x increases, y also increases.
What is the equation of a line that is parallel to the line 2x + 5y = 10 and passes through the point (–5, 1)? Check all that apply.
Answer:
y = -[tex]\frac{2}{5}[/tex]x - 1
Step-by-step explanation:
First, we can put the equation into y = mx + b form:
2x + 5y = 10
5y = -2x + 10
y = -[tex]\frac{2}{5}[/tex]x + 2
Now, we know the slope is -[tex]\frac{2}{5}[/tex]. A parallel line will have the same slope.
So, we can plug in the point (-5, 1) into the equation y = -[tex]\frac{2}{5}[/tex]x + b to find b:
1 = -[tex]\frac{2}{5}[/tex](-5) + b
1 = 2 + b
-1 = b
So, the equation will be y = -[tex]\frac{2}{5}[/tex]x - 1
SOMEONE PLEASE HELP ME IM CONFUSEDDD PLEASEE
A negative number raised to an exponent is positive. Which of the following is not true?
A. The number could be even
LB. The number could be odd
C. He exponent could be even
D. The exponent could be odd
Answer:
D. the exponent can be odd
Step-by-step explanation:
A. (-4)² = 16 ⇒ -4 is even and the product is positive.
B. (-5)² = 25 ⇒ -5 is odd and the product is positive.
C. (-5)⁴ = 625 ⇒ The exponent 4 is even and the product is positive.
D. (-5)⁵ = -3125 ⇒ The exponent 5 is odd and the product is negative.
So, the answer is D.
Hope this helps.
Plz help I’m trying to solve for the indicated variable
Hey there! :)
Answer:
a. b = y - mx
b. x = y - b /m
c. t = I/ pr
d. t = A - p/pr
Step-by-step explanation:
a. y = mx + b (for b)
Isolate the b variable by subtracting both sides by mx:
y - mx = b.
Therefore:
b = y - mx.
b. y = mx + b (for x)
Subtract 'b' from both sides:
y - b = mx
Divide 'm' from both sides:
y - b / m = x
c. I = prt
Divide both sides by pr:
I /pr = t.
d. A = p + prt
Subtract p from both sides:
A - p = prt
Divide both sides by pr:
A - p / pr = t
An object is dropped from a bridge and allowed to freefall to the ground. The height of the object over time can be modeled using h(t)=144-16t2. How many seconds will it take the object to reach the ground? 2 seconds 3 seconds 9 seconds 16 seconds
Answer:
(B)3 seconds.
Step-by-step explanation:
The object will be on the ground when its height is zero.
Therefore given the height function:
[tex]h(t)=144-16t^2\\$When h(t)=0\\144-16t^2=0\\16t^2=144\\$Divide both sides by 16\\t^2=9\\t=3$ sec[/tex]
The object will be on the ground afyer 3 seconds.
It will take 3 seconds for the object to reach the ground from a height of h(t) = 144 - 16t²
What are word problems involving the use of algebraic expressions?Word problems involving the use of algebraic expression require a good step-by-step interpretation with the use of variables to effectively solve the problem and arrive at a valid answer.
From the given information:
The height of an object that is allowed to drop from freefall to the ground is:
h(t) = 144 - 16t²At the time when h(t) = 0
0 = 144 - 16t²
16t² = 144
t² = 144/16
t² = 9
t = √9
t = 3 seconds
Learn more about algebraic expressions here;
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Question 6/20 The manufacturer's price for a cooler is $28.50. The camping store that buys the coolers sells it at $40.76.
What is the approximate percent of increase in the price of the coolers?
A. 76%
B. 75%
C. 77%
D. 43%
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Select an answer
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Answer: 43% increase
Step-by-step explanation:
You are welcome :)
Answer:
43%
Step-by-step explanation:
Use SOHCAHTOA for this. Work out 'm' in 3sf, I need the working out.
Anwer:3.537m
STEP BY STEP EXPLANATIOND:using SOH CAH TOA
First find the opposite
Represent the opposite with x
Tan 33° =x\10
x=10Tan 33°
x=6.494
To find m
Sin 33°=m\6.494 Sin 33°
m=3.5368
m=3.537meteres