Answer:
x≤1/2
Step-by-step explanation:
4x+16 ≤18
Subtract 16 from each side
4x+16-16 ≤18-16
4x≤2
Divide by 4
4x/4 ≤2/4
x≤1/2
0.24731182795 to 1 Decimal Place
Answer:
0.2
Step-by-step explanation:
Answer:
0.2
Step-by-step explanation:
Mark the first decimal place
Examine the second decimal place and if it is lower than five we round down and vice versa
What is the slope of the line on the graph below 1/5 1/3 3 or 5
Answer:
1/3
Step-by-step explanation:
We are given to find the slope of the line shown on the graph.
We note that
the line on the graph passes through the points (3, -4) and (6, -3).
The slope of a straight line passing through the points (a, b) and (c, d) is given by
m=\dfrac{d-b}{c-a}.m=
c−a
d−b
.
Therefore, the slope of the given line is
\begin{lgathered}m=\dfrac{-3-(-4)}{6-3}\\\\\\\Rightarrow m=\dfrac{-3+4}{3}\\\\\\\Rightarrow m=\dfrac{1}{3}.\end{lgathered}
m=
6−3
−3−(−4)
⇒m=
3
−3+4
⇒m=
3
1
.
Thus, the required slope of the line is \dfrac{1}{3}.
3
1
.
Option (B) is CORRECT.
Can somebody help me with this ?? :)
Answer:
A.
Step-by-step explanation:
We have AC = DF, ∠A =∠D, so
we need AB = DE.
We get SAS congruence.
YOOO PLZ HELP ASAP!!!
Answer:
Step-by-step explanation:
its B
Answer:
B
Step-by-step explanation:
Which of the graphs below would result if you made the leading term of the following function negative? f(x)=2x^4+2x+2
If we change the sign of the leading coefficient of the polynomial, the graph of the new polynomial will open downwards. The graphs can be seen at the end.
Which graph do we get when the leading coefficient is negative?Here we start with the polynomial:
[tex]f(x) = 2x^4 + 2x + 2[/tex]
The leading coefficient is one that multiplies the term with the largest exponent. In this case, is 2.
Changing its sign will cause the polynomial's arms now will open downwards (instead of upwards, as in the original polynomial).
The graphs of both functions can be seen below. The green is the original one, and the blue is the changed one.
If you want to learn more about polynomials:
https://brainly.com/question/4142886
#SPJ2
Sound waves are emitted from a fishing boat. Some of the sound waves are reflected by fish and detected back at the boat.The shortest time between the sound waves being emitted and detected is 0.26 s. The speed of sound in water is 1500 m/s.A) Calculate the distance between the boat and the nearest fish.
Answer:
195 m.
Step-by-step explanation:
The time for the sound waves to reach the fish is 0.26/2 = 0.13 seconds.
Distance = speed * time
= 1500 * 0.13
= 195 m.
Need help people pls
help me, please asap
Answer:
sup!
the answer is
a point on (0,-1) and (1,3)
Step-by-step explanation:
hope this helps
Mrs. Rodriquez has 24 students in her class. Ten of the students are boys. Jeff claims that the ratio of boys to girls in this class must be 5:12. What is Jeff’s error and how can he correct it?
Answer:
Jeff found the ratio of boys to students. He needed to first find that there are 14 girls to get a ratio of 10:14 or 5:7.....answer is the first one
Step-by-step explanation:
Sorry ignore this
Answer:
Boys : Girls = 5 : 7
Jeff should find the number of girls at first.
Step-by-step explanation:
Boys - 10
Girls - 24 - 10 = 14
Boys : Girls = 10 : 14
Boys : Girls = 5 : 7
Jeff did not find the number of girls, he took the number of all students instead.
quick plz....When √98- √128 is simplified it is equal to:
A,15√2
B, -√30
C. -√2
D. 10√3
Answer:
[tex]-\sqrt{2}[/tex]
Step-by-step explanation:
[tex]\sqrt{98} -\sqrt{128}[/tex]
[tex]\sqrt{49 \times 2} -\sqrt{64 \times 2}[/tex]
[tex]\sqrt{49} \sqrt{2} -\sqrt{64} \sqrt{2}[/tex]
[tex]7\sqrt{2}-8\sqrt{2}[/tex]
[tex]=-\sqrt{2}[/tex]
Which statement is true for the numbers 2.5 and -2.5? A. On the horizontal number line, 2.5 and -2.5 are equal and are located on the same point. B. On the horizontal number line, -2.5 is located to the left of zero and 2.5 is located to the right of zero. C. On the horizontal number line, 2.5 and -2.5 are both located to the right of zero. D. On the horizontal number line, 2.5 is located to the left of zero and -2.5 is located to the right of zero.
Answer:B
Step-by-step explanation: because when u draw the number line all the negative numbers is written at the left side of the zero and all positive numbers are found at the right side of the zero
Answer: I believe it’s B
Step-by-step explanation:
Yolo has 2 pieces of string. One is 32 inches long, the other is 48 inches long. She wants to make as many necklaces as she can, all of the same length. What is the longest necklace that can be made?
The Greatest Common Factor of 32 and 48 is 16.
The longest necklace she can make is of 16 inches length.
Mr. Mole left his burrow and started digging his way down.
A represents Mr. Mole's altitude relative to the ground (in meters) after t minutes.
A= -2.3t – 7
How fast did Mr. Mole descend?
Answer:
He's descending at a pace of 2.3 meters per minute.
Step-by-step explanation:
This is because the equation shows us the slope or the speed he's going at.
A= -2.3t - 7
A= Altitude
-2.3 = Slope
- 7 is his starting altitude in meters
But every minute, t, he is going down 2.3 meters. It's easier to think about if you consider, A = y, and, t = x. Now you have the equation, y = -2.3x - 7.
And you graph it to see the progression in slope.
Simon makes 30 cakes He gives 1/5 of the cakes to sali He gives 10% of the cake to Jane What fraction of 30 does he have left
Answer:
7/10 or 0.7 or 70% left.
Step-by-step explanation:
Since he gives 1/5 of the cake to Sali, he gave 1/5 * 30 = 6 cakes away to Sali. Since 10% is 1/10, he gave away 1/10 * 30 = 3 cakes away to Jane. He has a total of 30 - 3 - 6 = 21 cakes left. 21/30 = 7/10, or 0.7, or 70% left.
Answer: 21/30
Explanation this is because 1/5of 30 is 6 and 10 percent of 30 is 3
6+3=9
30-9=21
Therefore Simon has 21/30 cakes left
I hope it helps
can i get help for this please
Answer:
65 units^2Step-by-step explanation:
[tex]Area = \frac{1}{2} *\frac{base}{height} \\A =\frac{ bh}{2} \\Base = 10\\Height = 13\\A= \frac{10*13}{2} \\\\A = \frac{130}{2} \\A = 65[/tex]
Answer:
60
Step-by-step explanation:
Let's construct the altitude. Since the altitude to the base of an isosceles triangle is the same as the median, we know that the base will be split into 5 and 5. Using Pythagorean Triples the height is 12. The area formula for a triangle is bh / 2 and we know that b and h are 10 and 12 respectively so the answer is 10 * 12 / 2 = 60.
Find the vertex of the graphed function. f(x) = |x − 4| + 3 The vertex is at (, ).
Answer:
(4, 3)
Step-by-step explanation:
Your vertex is at (h, k). h is 4 and k is 3 in the equation. Alternatively, you could graph this and trace the graph to find the vertex.
Need help with 8-10 didn’t understand this
Answer:
8 is -5
9 is (-2,3)
10 is -10
(25 POINTS) Write the inequality of the following graph?
Answer:
f(x) > -x + 2
Step-by-step explanation:
First I found the equation of the line.
The y intercept is at 2 so I know to add 2 at the end
The slope is -1 since it is going downwards
Since the top side is shaded, that represents greater than, if it was shaded downwards, it would be less than
Putting all that together, the equation is f(x) > -x + 2
10 ft
8 ft
Find the perimeter of this figure to the
nearest hundredth. Use 3.14
Answer:
48.56 ft
Step-by-step explanation:
==>Given:
A rectangular figure joined with a half circle with the following dimensions:
Length of rectangle (l) = 10ft
Width of rectangle (w) = 8ft
Diameter of the half circle (d) = the width of the rectangle = 8ft
π = 3.14
==>Required:
Perimeter of the figure = perimeter of a rectangle + permimeter of the half circle
==>Solution:
Perimeter of rectangle = 2(l + w)
Perimeter of half circle = ½ of circumference of a circle = ½πd
Perimeter of the figure = 2(10 + 8) + (½*3.14*8)
= 2(18) + (3.14*4)
= 36 + 12.56
Perimeter = 48.56 ft (to the nearest hundredth)
Answer:56.56
Step-by-step explanation:
For the perimeter of a rectangle
P = 2 × (a + b)
P = 2 × (8 + 10)
P = 2 × 18
P = 36
For the perimeter of a semicircle
P = (pi × r) + (2 × r)
Diameter = 8
Radius = 8/2
Radius = 4
P = (3.14 × 4) + (2 × 4)
P = 12.56 + 8
P= 20.56
Perimeter of this figure
P = r + c
P = 36 + 20.56
P = 56.56
Find 310% of 150. a number blank
Answer:
465
Step-by-step explanation:
Of means multiply
310% * 150
Change to decimal form
3.10 * 150
465
Answer:
465
Step-by-step explanation:
1 percent of 150 is 1.5.
Multiply 1.5 by 310 to 465
How long is 139.5 minutes
Answer:
[tex]\mathrm{2.325 \: hours}[/tex]
Step-by-step explanation:
[tex]\frac{139.5}{60}=2.325[/tex]
[tex]\mathrm{2 \: hours\: 19.5 \: minutes}[/tex]
Let f(x)=5x and g(x)= -x+1. Find f o g(ONLY 2 HOURS TO ANSWER!)
Answer: (b) -5x + 5
Step-by-step explanation:
f(x) = 5x g(x) = -x + 1
f(g(x)): g(x) = -x + 1 f(-x + 1) = 5(-x + 1)
= -5x + 5
Which expression has the greatest value?
(1 + 2)3
(15 - 1)0
(5-2) 2
(2 x 4)1
Answer:
(1+2)3
Step-by-step explanation: it equals 9 the the other expressions equal 8 0 and 6 so option one is the greatest value.
(Multiple Choice, 20 pts)
Solve the rational equation x divided by 4 equals x squared divided by quantity x plus 2 end quantity, and check for extraneous solutions.
A. x = two thirds; 0 is an extraneous solution
B. x = 0; x = two thirds is an extraneous solution
C. x = 0 and x = two thirds
D. No solution
Answer:
B.
Step-by-step explanation:
Step 1: Cross-multiply
x² + 2x = 4x²
Step 2: Isolate x's
2x = 3x²
0 = 3x² - 2x
Step 3: Factor
x(3x - 2) = 0
Step 4: Find roots
x = 0, x = 2/3
Step 5: Double check answers.
When you do so, you should see that only x = 0 works. And we have our answer!
Answer:
its c man its c
Step-by-step explanation:
Suppose a local vendor charges $2 per hot dog and that the number of hot dogs sold per hour is given by , where is the number of hours since 10 AM, .
Complete Question:
Suppose a local vendor charges $2 per hot dog and that the number of hot dogs sold per hour is given by [tex]x(t) = -4t^2 + 20t + 60[/tex], where is the number of hours since 10 AM:
a) Find an expression for the revenue per hour as a function of x, R(x)
b) Find and simplify, R(x(t))
Answer:
a) R(x) = 2x
b) [tex]R(x(t)) = -8t^2 + 40t + 120[/tex]
Step-by-step explanation:
a) This is a very trivial exercise.
[tex]x(t) = -4t^2 + 20t + 60[/tex]
The number of hot dogs sold per hour is given by x
Charge per hot dog = $2
An expression of revenue per hour,R, as a function of the number of hot dogs sold per hour, x, is therefore: R(x) = 2x
b) [tex]x(t) = -4t^2 + 20t + 60[/tex]
R(x(t)) = 2(x(t))
[tex]R(x(t)) = 2(-4t^2 + 20t + 60)\\R(x(t)) = -8t^2 + 40t + 120[/tex]
A school allots £1500 to spend on a trip to the theatre. Theatre tickets have a regular cost of £35 each and are on offer for 1/5 off A train ticket for the day will cost £15 each. If 2 teachers and the maximum number of students attend, how much money will the school have left over?
Answer:
Step-by-step explanation:
School allots £1500 to spend on a trip to the theatre.
Theatre tickets have a regular cost of £35 each and are on offer for 1/5 off
therefore 4/5*35 = 28 for the tickets
:
A train ticket for the day will cost £15 each.
therefore total cost for each: 28 + 15 = 43 pounds each
:
If 2 teachers and the maximum number of students attend, how much money will the school have left over?
:
let s = no. of students
43(s+2) =< 1500
43s + 86 =< 1500
43s =< 1500 - 86
43s =< 1414
s =< 1414/43
s =< 32.88, 32 students max
:
find how much left over. plus 2 teachers = 34 people
1500 - 43(34) =
1500 - 1462 = 38 pounds left over
given angle2 and angle 4 are vertical angels. prove angle 2 cong angle 4
Answer:
Use the Vertical Angles Theorem
Step-by-step explanation:
The vertical angles theorem states that angles vertical/opposite to each other are congruent. Use the vertical angles theorem in your proof.
Answer:
See below.
Step-by-step explanation:
the radius of wheel of a bicycle is 40 cm. taking pie =3.14, a)find tthe circumference of the wheel.b) find the distance covered by the bicycle in 200 complete revolution of the wheel.please ans this question. i beg you
Answer:
a)=251.2 cm b)=50240 cm
Step-by-step explanation:
a) The formula for calculating the circumference of a circle is c=d*pie, where D is the diameter of the circle.
Therefore, C = 2 * 40 * 3.14 = 251.2 cm
b) The distance covered by 200 revolutions of the wheel is 200 times the circumference, 200*251.2=50240 cm.So to think about this we can assume that there is a point A on the wheel, the distance that point A travels when it rotates 200 times.
The number of milligrams of a certain medicine a veterinarian gives to a dog varies directly with the weight of the dog. If the veterinarian gives a 30-pound dog Three-fifths milligram of the medicine, which equation relates the weight, w, and the dosage, d? d = StartFraction 1 Over 50 EndFraction w d = three-fifths w d = 18 w d = 50 w
Answer:
Step-by-step explanation:
A direct variation equation is of the form
y = kx,
where, in words, it reads "y varies directly with x" or "y varies directly as x". In order to use this as a model, we have to have enough information to solve for k, the constant of variation. The constant of variation is kind of like the slope in a straight line. It rises or falls at a steady level; it is the rate of change.
We have that a vet gives a dose of three-fifths mg to a 30 pound dog. If the dose varies directly with the weight of the dog, then our equation is
d = kw and we need to find k in order to have the model for dosing the animals.
[tex]\frac{3}{5} =k(30)[/tex]
Divide both sides by 1/30 to get k alone.
[tex](\frac{1}{30})(\frac{3}{5})=k[/tex] and
[tex]k=\frac{1}{50}[/tex]
Our model then is
[tex]d=\frac{1}{50}w[/tex]
This means that for every pound of weight, the dog will get one-fiftieth of a mg of medicine.
Answer:
A
Step-by-step explanation:
Evaluate the following expression
Answer:
Hope this is correct
Step-by-step explanation:
HAVE A GOOD DAY!