Find the area of the irregular figure.
2 in.
3 in.
5 in.
A = [ ? ]in.2
3 in.
2 in.
4 in.
4 in.
Answer:
area = 35 in²
Step-by-step explanation:
At 5 p.M., the temperatures recorded at two weather stations in Antarctica are -6 degrees and 2 degrees. The temperature changes at the same constant rate, x degrees per hour, throughout the night at both locations. The temperature at the first station 3 hours after this recording is the same as the temperature at the second station 4 hours after this recording.
Answer:
- 8° per hour
Step-by-step explanation:
Given that:
Station A = - 6°
Station B = 2°
Rate of temperature change = x° / hour ; which is the same at both stations
Temperature at station A 3 hours after the recording is the same as the temperature in station B 4 hours after the recording ;
Temperature change in Station A:
-6 + 3x
Temperature change in station B:
2 + 4x
Temperature change in A = temperature change in B
-6 + 3x = 2 + 4x
Collect like terms
3x - 4x = 2 + 6
- x = 8
x = - 8
Hence, the rate of temperature change x in both stations is - 8° per hour
What is the least positive integer divisible by each of 1, 3, 5, and 7?
Answer:
105
Step-by-step explanation:
You need the least common multiple of the 4 numbers. Since 3, 5, and 7 are prime numbers, the answer is their product.
LCM = 3 * 5 * 7 = 105
The least positive integer that is divisible by each of 1, 3, 5, and 7 is 105.
In order to solve the question, we simply have to find the lowest common multiple that is applicable to all the numbers that are given on the question.
In this case, the lowest common multiple can be gotten by multiplying the numbers be high will be:
= 1 × 3 × 5 × 7 = 105
Therefore, the number is 105.
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a rate is a ratio that compares
A) a part to a part
B) a part to a whole
C) quantites with different units
D) quantities with the same units
Answer:
c
Step-by-step explanation:
A rate is a ratio that compares quantites with different units.
What is Ratio?A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0.
A rate is a comparison of two quantities that have different units, such as miles per hour, dollars per gallon, or meters per second.
A rate can be expressed as a fraction or a ratio, with the numerator representing the quantity being measured and the denominator representing the unit of measurement.
Hence, a rate is a ratio that compares quantites with different units.
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if lines intersect, does that make it, one solution, no solution, or infinite solution?
Answer:
one solution
Step-by-step explanation:
No solution is when they don't intersect at all. Infinite solutions is if the two lines are on top of each other.
Answer:
one solution
Step-by-step explanation:
if they intersect, they become one solution, if they don't intersect, than there are no solutions. If the graphs of the equations are the same, there are infinite solutions.
brooke plays on her schools softball team. Last season she was at bat 500 times and made a safe hit 28% of the time. How is 28% expressed as a fraction
PLEASE HELP please?
Answer:
28/100
Step-by-step explanation:
Is 0.25 rounded to 0.3
Answer: Yes, round it to the nearest tenth
Evaluate the expression x=4 , y=-2 , z=-3
Answer:
36
Step-by-step explanation:
I don’t know if this half the problem or something because you only need to know what a equals but...
1. Substitute x for 4 since x=4... so the equation would then be (4)^2+10(4)-20
2. You simplify so 4 squared is 16 because when you square something you times it by it self so 4^2 is simply 16 because 4*4=16 then 10*4 is 40 so then you get 16+40-20
3. So you can simplify that again to 56-20 and then to 36
Sorry I’m really bad at explaining but I hope this helps
A conveyor belt carries supplies from the first floor to the second floor, which is 22 feet higher. The belt makes a 60° angle with the ground. a. How long is the conveyor belt? Round your answer to the nearest foot. b. If the belt moves at 75 ft/min, how long does it take the supplies to move to the second floor? Round to the nearest tenth.
Answer:
a) 44[tex]\sqrt{3}[/tex]/3 feet
b) .3 minutes
Step-by-step explanation:
We know all three of the angles: 30 60 90. So we can divide 22 by [tex]\sqrt{3}[/tex], and then multiply that number by 2. We cannot have a radicand in the bottom, so multiply the denominator and numerator by
for b), simply divide a) by 75 ft/min, which is approximately .3 minutes.
how many 0.5-pound packages can be made with 7 pounds of sunflower seeds?
Answer:
14. :D
Step-by-step explanation:
The sum of two numbers is 125. Their difference is 47. The two numbers are:
39 and 86.
40 and 85.
47 and 78.
None of these choices are correct.
Answer:
39 and 86.
Step-by-step explanation:
39 and 86 equal 125 when added. When 47 is subtracted from 86 you get 39.
What is the value of x^2 - 3y + 5x + 2 whenx = 7 and y = 4?
Answer:
74
Step-by-step explanation:
[tex]x^2 - 3y + 5x + 2 \\ \\ = {7}^{2} - 3(4) + 5(7) + 2 \\ \\ = 49 - 12 + 35 + 2 \\ \\ = 74[/tex]
I rlly need this quick please and thank you
Step-by-step explanation:
2002 can be rounded to a compatible number such as 2000.
2000 / 2 = 1000.
They each received around 1000 marbles.
Help asap it’s math and I’m not sure about this one
Answer:
1/2
Step-by-step explanation:
2+2+4 because 1+1+1+1=4 easyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyy
Which of the scatterplots have no correlation? Check all that apply.
On a graph, points curve up and down.
On a graph, points are grouped together to form a horizontal cluster.
On a graph, points are grouped together to form a vertical cluster.
On a graph, points are grouped together and decrease.
On a graph, points are scattered over the graph.
Answer:
2, 3, and 5
Step-by-step explanation:
got it right on test.
The scatterplots (B), (C), and (E) have no correlation. which is the correct answer would be options (B), (C), and (E)
What is the Scatter plot?The variables in the scatter plot made from the data are described by the independent variable, time, which is graphed along the horizontal axis.
When analyzing data with more than two variables, a scatter plot is used, which has a separate vertical axis for each variable.
According to the given option,
The second has no slope, therefore there is no correlation.
The third has a zero average slope with no upward or descending trend; no correlation.
The fifth has a general increasing tendency and will have a non-zero correlation.
Thus, the scatterplots (B), (C), and (E) have no correlation.
Hence, the correct answer would be options (B), (C), and (E),
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A particular satellite is 10 ft wide. A
model of it was built with a scale of 1 in :
2 ft. How wide is the model?
3 ft
Step-by-step explanation:
Niles and Bob sailed at the same time for the same length of time. Niles' sailboat traveled 27 miles at a speed of 9 mph, while Bob's
motorboat traveled 36 miles at a speed of 12 mph. For how long were Niles and Bob traveling?
OA
2 hours
ОВ.
6 hours
OC.
5 hours
OD. 3 hour please help me with this
Answer:
D- 3 hours long they were traveling
Step-by-step explanation:
27÷ 9= 3
36÷ 12= 3
Does the table, graph, or equation represent a linear or nonlinear function? EMERGENCY I need help
Answer:
Nonlinear
Step-by-step explanation:
This is because the x^2. If there are any exponets, the equation would be considered nonlinear.
Hope this helps!
please help me I dont know the answer
Answer:
2.71
Step-by-step explanation:
Its as simple as plugging in the values of y and z.
THis would give you
-1.46 + (-3.82) + 7.99
This plus^ you can think about having a 1 in front of it like
-1.46 + 1 (-3.82) +7.99
Multiple positive 1 with -3.82 1 times any value is that number, and positive times negative is negative. then looking like this:
-1.46 - 3.82 + 7.99 plug into a calculator and you get +2.71
Answer:
2.71
Step-by-step explanation:
We'll add the first value and the value in parentheses, being -3.82, then we'll add y, which is a negative because "-y", being -1.46. That becomes -5.28.
We'll then take our -5.28 and add 7.99, which will become 2.71.
Therefore, 2.71 is your answer.
-3,0 and 2 are the zeroes of the polynomial p(X)=x³+(a-1)x²+bx+c ,find a,c.
Answer:
a = 2
b = - 6
c = 0
Step-by-step explanation:
Since, -3,0 and 2 are the zeroes of the polynomial
[tex] Plug \:x = 0\: in \:p(X) \\
\implies p(0)= 0\\
\therefore 0= 0^3 +(a-1)(0)^2 +b(0)+c\\
\therefore 0= 0 +(a-1)\times 0 +b(0)+c\\
\therefore 0= 0 +0+0+c\\
\red{\bold{\therefore 0=c}}.....(1)\\\\
p(X)=x³+(a-1)x²+bx+c. \\
Plug \:x = -3\: in \:p(X) \\
[tex] \implies p(-3)= 0\\
\therefore 0= (-3)^3 +(a-1)(-3)^2 +b(-3)+c\\
\therefore 0= -27 +(a-1)\times 9 +b(-3)+c\\
\therefore 0= - 27 +9a-9 - 3b+c\\
\therefore 0= - 36+9a-3b+c\\
\therefore 36 =9a-3b+c... (2)\\
Plug \:c= 0\: in \:equation \: (2)\\
36= 9a - 3b + 0\\
36= 9a - 3b\\
36= 3(3a - b) \\
\purple {\bold{12 = 3a - b}} .... (3)\\\\
Plug \:x = 2\: in \:p(X) \\
\implies p(2)= 0\\
\therefore 0= 2^3 +(a-1)(2)^2 +b(2)+c\\
\therefore 0= 8 +(a-1)\times 4 +b(2)+c\\
\therefore 0= 8 +4a-4+2b+c\\
\therefore 0= 4 +4a+2b+c\\
\therefore - 4=4a+2b+c.....(4)\\
Plug \:c= 0\: in \:equation \: (4)\\
- 4 = 4a +2b+0\\
-4= 2(2a+b)\\
\orange{\bold{-2=2a + b}} .......(5)\\\\[/tex]
Adding equation (3) and (5), we find:
12 = 3a - b
-2 = 2a + b
_________
10 = 5a
10/5 = a
a = 2
Plug a = 2 in equation (5)
-2= 2(2) + b
-2 = 4 + b
-2 - 4 = b
-6 = b
b = - 6
A car is traveling 60 miles per hour. How long will it take to travel 240 miles?
Answer:
4 hours
Step-by-step explanation:
240 / 60 = 4
URGENT, PLEASE ANSWER.
-5
Solve the inequalities!
15 points if you answer and trolls will be reported.
Answer: x= -1
Step-by-step explanation:
1 Subtract 44 from both sides.
x=3-4x=3−4
2 Simplify 3-43−4 to -1−1.
x=-1x=−1
Answer: x > -9 and x [tex]\leq[/tex] -1
Step-by-step explanation:
-5 < x + 4[tex]\leq[/tex] 3 To solve the inequality, subtract 4 from both sides or u can divide the whole thing into two inequalities like, -5 < x + 4 and x + 4 [tex]\leq[/tex] 3 and solve for each other.
-5 < x + 4 [tex]\leq[/tex] 3
-4 -4 -4
-9 < x [tex]\leq[/tex] -1
or
-5 < x + 4 x +4 [tex]\leq[/tex] 3
-4 -4 -4 -4
-9 < x x ≤ -1
equations with variables on both sides: decimals and fractions, algebra 2 0.5s + 1 = 7 + 4.5s
Final Answer: [tex]s = -\frac{3}{2}[/tex]
Steps/Reasons/Explanation:
Question: Equations with variables on both sides: decimals and fractions, algebra 2. [tex]0.5s + 1 = 7 + 4.5s[/tex].
Step 1: Subtract [tex]0.5[/tex] from both sides.
[tex]1 = 7 + 4.5s - 0.5s[/tex]
Step 2: Simplify [tex]7 + 4.5s - 0.5s[/tex] to [tex]7 + 4s[/tex].
[tex]1 = 7 + 4s[/tex]
Step 3: Subtract [tex]7[/tex] from both sides.
[tex]1 - 7 = 4s[/tex]
Step 4: Simplify [tex]1 - 7[/tex] to [tex]-6[/tex].
[tex]-6 = 4s[/tex]
Step 5: Divide both sides by [tex]4[/tex].
[tex]-\frac{6}{4} = s[/tex]
Step 6: Simplify [tex]\frac{6}{4}[/tex] to [tex]\frac{3}{2}[/tex].
[tex]-\frac{3}{2} = s[/tex]
Step 7: Switch sides.
[tex]s = -\frac{3}{2}[/tex]
~I hope I helped you :)~
A sweater is $43. It is on sale for 20% off. What is the final price? $34.40 $47 $8.60
Answer:
34.40
Step-by-step explanation:
43×0.2 = 8.60
43-8.60= 34.40
ana can swim at a rate of 3/8 mile in 1/3 hour.
There are 50 students in a class. If 14% are absent on a particular day, find the number of students present in the class. What percent were not absent?
Answer:
i THINK 43% but im not for sure
Step-by-step explanation:
14% of 50 is 7
so 50-7=43
43(percent there)+7(percent gone)=50 (number of students)
SO 43% is still there.
SORRY IF IM WRONG have a good night :)
help meh please i need hell
Answer:
1 3/8
Step-by-step explanation:
Which one is correct? Please hurry :)
Answer:
A
Step-by-step explanation:
The difference of two numbers is 308. The smaller of the numbers is 730. What is
the other number?
Answer:
1038
Step-by-step explanation:
730+308= the big number
Answer:
1038
Step-by-step explanation: