[tex] \boxed{ \sf{Area \: = 57 \: {cm}^{2} }}[/tex]
[tex] \boxed{ \sf{Perimeter = 34 \: cm}}[/tex]
See workings in the attached picture !
Hope I helped ! ツ
Have a wonderful day / night ! ♡
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Multiply
(x^2+4x+3)(2x^2+3-4)
Sara needs 3/4 cups of sugar to make 1/2 of her brownie recipe. How much sugar does she need to make the entire recipe?
Answer:
1 [tex]\frac{1}{2}[/tex]
Step-by-step explanation:
[tex]\frac{3}{4}[/tex]+[tex]\frac{3}{4}[/tex]=[tex]\frac{6}{4}[/tex]
Hey can someone please help me lol
Answer:
49.53 nautical miles
Step-by-step explanation:
Adding 36 and 21 we get 57 miles.
57 converted to nautical miles would be 49.53
All of the following are equivalent except____.
4y
(4)(y)
4•y
4+y
Answer:
All the options are equivalent except;
4 + y
Step-by-step explanation:
The question relates to the number of ways the operation of a multiplication operation can be represented algebra
1) The coefficient of a variable is a multiplier of the variable
Therefore;
4y = 4 × y
2) When given two numbers or variables in a mathematical expression that are separated by parenthesis, then it is an indication that the two numbers are meant to be multiplied
Therefore;
(4)(y) = 4 × y
3) The dot symbol, '·', placed between two numbers, a number and a variable or two variables, is a representation of multiplication of the two quantities
Therefore;
4·y = 4 × y
However, multiplication, and addition are different mathematical operations that produce different results when applied;
Therefore;
4 + y ≠ 4 × y.
Write an equation of the line with the given slope and y-intercept.
slope: −3
y-intercept: 5
y=
Answer:
Y=-3X+5
Step-by-step explanation:
On a highway, a random sample is taken of the speed, in mph, of 50 cars. A mean speed of 61.8 mph is calculated with a margin of error of +2.3 for a 95% confidence interval What is the interval estimate of the population mean?
A) 58.7 <h<64.9
B)59.5<h<61.8
C)59.5<h<64.1
D)61.8<h<64.1
The interval estimate of the population mean when a random sample is taken of the speed on highway is 59.5<h<64.1. Option C is correct.
What is margin of error?The probability or the chances of error while choosing or calculating a sample in a survey is called the margin of error.
The interval estimate of the population mean can be found out using the following formula:
[tex]\overline X\pm MOE[/tex]
Here, [tex]\overline X[/tex] is the average mean, and the MOE is the margin of error.
On a highway, a random sample is taken of the speed, in mph, of 50 cars.
A mean speed is 61.8 mphThe margin of error is +2.3 The confidence interval is 95%Put the values in the above formula as,
[tex]61.8\pm 2.3\\59.5,641[/tex]
Thus, the interval estimate of the population mean
[tex]59.5 < h < 61.8[/tex]
Hence, the interval estimate of the population mean when a random sample is taken of the speed on highway is 59.5<h<64.1. Option C is correct.
Learn more about the margin of error here;
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Find the GCF 8x^3-12x^2+4x
Answer:
4x
Step-by-step explanation:
Write the following expression in standard
form:
- 6(5 - 2x) - 3x - 10
Answer:
Let's simplify step-by-step.
−6(5−2x)−3x−10
=9x−40
No Solutions 2x + 5 + 2x + 3x = One Solution 2x+5+ 2x + 3x = Infinitely Many Solutions 2x + 5 + 2x + 3x =
Answer:
2x+5+2x +3x=7x+5 2x +5+ 2x + 3x = 7x+5
Step-by-step explanation:
Which of the following demonstrates the distributive property?
a) 3+ 5 = 5 + 3
b) 6+ (-6) = 0
c) (3x + 8) + 6 = 3x + (8 + 6)
d) -(x-3) = -x + 3
Answer:
c one demonstrates the distributive property
what is the least common denominator of the rational expressions below? 1/x^2-4/3x^2+15
Answer:
3x^2(x+5)
Step-by-step explanation:
Haven earned $165 working as a babysitter. When she goes back to school, she needs more than $192 to buy a new coat How
much must she eam before returning to school? Write and solve an inequality to represent this scenario.
Answer:
$27
Step-by-step explanation:
which graph represents y=3x+2
Step-by-step explanation:
The general form of a straight line is y = mx + c, where m is the line's slope and c is the y-intercept.
For y = 3x + 2, the slope is positive 3 and the y-intercept is 2. The line should rise up and pass through the point (0, 2).
We are between Options B and C.
In Graph B, the line raises by 4 units for every 2 units across. Hence its slope is 4/2 = 2.
In Graph C, the line raises by 3 units for every 1 unit across. Hence its slope is 3/1 = 3.
Since we want 3 as the slope,
The answer is Option C.
The graph C represents y=3x+2
What is a Graph?
A diagram showing the relation between variable quantities, typically of two variables, each measured along one of a pair of axes at right angles.
How to determine?The general form of a straight line is y = mx + c, where m is the line's slope and c is the y-intercept.
For y = 3x + 2, the slope is positive 3 and the y-intercept is 2. The line should rise up and pass through the point (0, 2).
We are between Options B and C.
In Graph B, the line raises by 4 units for every 2 units across. Hence its slope is 4/2 = 2.
In Graph C, the line raises by 3 units for every 1 unit across. Hence its slope is 3/1 = 3.
Since we want 3 as the slope,
The answer is Option C.
Learn more about Graphs:
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SOMEBODY HELP PLZ IM STUCK
A jet travels 470 miles in 2 hours. At this rate, how far could the jet fly in 11 hours?
Answer:
The jet will cover 2585 miles in 11 hours.
Step-by-step explanation:
Given that:
Distance travelled by jet in 2 hours = 470 miles
Speed of jet = [tex]\frac{Distance}{Time}[/tex]
Speed of jet = 470/2
Speed of jet = 235 miles per hour
Time = 11 hours
Distance travelled in 11 hours = Speed * Time
Distance = 235 * 11
Distance = 2585 miles
Hence,
The jet will cover 2585 miles in 11 hours.
The ratio of teachers to students at Priory School is 2:27
What is school's total population if there are 42 staff
Answer:
609
Step-by-step explanation:
ratio of teachers to students at Priory School =2:27
Let X= total number of both the students and the teacher
Ratio of teacher=( 2/29)X
Ratio of student is (27/29 )X
But total number of teacher = 42
2/29 ×X =42
2X= 42×29
2X=1218
X= 609
Hence, school's total population is 609
What is the result when we simplify the expression
(
1
+
1
x
)
(
1
−
2
x
+
1
)
(
1
+
2
x
−
1
)
?
Answer:
Step-by-step explanation:
Here you go mate
Step 1
(1+1x)(1-2x+1)(1+2x-1) Equation/Question
Step 2
(1+1x)(1-2x+1)(1+2x-1) Remove parenthesis
-2x^2+2-4x^3+4x+2x^2-2
Step 3
-2x^2+2-4x^3+4x+2x^2-2 Simplify
-4x^3+4x
Answer
-4x^3+4x
Hope this helps
Answer:
2x(1+x)(-2x+2)
Step-by-step explanation:
(1+x)(1-2x+1)(1+2x-1)
(1+x)(-2x+2)(1+2x-1)
(1+x)(-2x+2)*2x
2x(1+x)(-2x+2)
Which answers would be possible first steps?
Answer:
e i think or find out what x =
What is the value of the expression
(-3)^3 + 6^3/12
Answer:
-9
Step-by-step explanation:
Answer:-9
hope it helps pls mark brainliest
Please help!20 POINTS BRAINLIEST
Answer: The answer is 0.20
Step-by-step explanation: To find a scale factor all you need to do is find the ratio of a side on the scaled shape to its corresponding side on the original figure. We know the bottom of the scaled figure is 0.5 and the same side on the original rectangle was 2.5 so we can just divide like so...
0.5/2.5 = 0.2 which is our correct answer. I hope this has been of use to you :) If you have any other questions please do not hesitate to ask!
solve using substitution
-5x+7y=-5
y=-5
x=?
So if you solve for x using the first equation, you get: x = 5y - 5.
From there you can plug that into the second equation which would give you:
7y-5y+5=-23
Simplifying from that point, you get y = -9.
Now that you have one of the values, you can solve for x by plugging it back into the equation we made (x = 5y - 5) and getting to the answer x = -40.
How many cubic meters of water are required to fill a rectangular swimming pool 15m long and 10 m wide which is 2m deep throughout.How many liters is that?
Answer:
300,000 liters
Step-by-step explanation:
Let us have the measurements in cm
100 cm = 1 m
so the measurements are multiplied by 100
we have this as;
1500 by 1000 by 200
The volume is the product of the 3
This is :
1500 * 1000 * 200 = 300,000,000 cm^3
Mathematically, 1 liter = 1000 cm^3
300,000,000 cm^3 will be ;
300,000,000/1000 = 300,000 liters
Suppose that 20% of students at high school A and 18% of students at high school B participate on a school athletic team. Independent random samples of 30 students from each school are selected and asked if they participate on a school athletic team. Let ˆ p A represent the sample proportion of students at school A who participate on a school athletic team and ˆ p B represent the sample proportion of students at school B who participate on a school athletic team.
What is the mean of the sampling distribution of ˆ p A − ˆ p B ?
Answer:
0.02
Step-by-step explanation:
High schools A :
Percentage of participants in on the school athletic team = 20%
Pa = 20% = 0.2
High school B:
Percentage of participants in on the school athletic team = 18%
Pa = 18% = 0.18
The mean of sampling distributon is :
Pa - Pb
0.2 - 0.18
Hence, Mean of sampling distribution is 0.02
One of the legs of a right triangle measures 1 cm and its hypotenuse measures 8 cm. Find the measure of the other leg. If necessary, round to the nearest tenth.
Answer:
about 7.8
Step-by-step explanation:
a^2+b^2=c^2
1^2+b^2=8^2
2+b^2=64
B^2=62
B= about 7.8
Solve 3-4/7 with steps pls
Help Please Quickly I need help now
Answer:
C) Mrs. Benjamin
C) 9 mrs. Benjamin
7x - 4 / (x-8)(x+5) = a/x-8 + 3/x+5
Find for a
Answer:
a= 7x^3−57x^2−47x+24 /x−8
Step-by-step explanation:
17. The base of a parallelogram is 10 meters. The height is one fourth of the base. Find the area of the parallelogram.
pleaaeee help
Answer:
25m2
Step-by-step explanation:
b = 10
10 divided by 4 = 2.5
h = 2.5
2.5 times 10 = 25m2
1138 in expanded form
Answer:
(see below)
Step-by-step explanation:
To put 1138 in expanded form, you should first know that expanded form is separating a number into its place values. Here's what I'm talking about:
1 in expanded form is 1.
11 in expanded form is (10 + 1).
111 in expanded form is (100 + 10 + 1).
So that means that:
1138 in expanded form is (1000 + 100 + 30 + 8).
What is the radius of this circle?
Answer: the answer is 7cm
Step-by-step explanation:if the diameter is 14, just do 14/2=7