Answer:
54 square miles
Step-by-step explanation:
The easiest thing to do is to separate the figure into one 5x9 rectangle and one 3x3 square. The rectangle area is 5x9=45 square miles and the square is 3x3=9 square miles. So total is 45+9=54 square miles.
Solve for x. 7x+38=45
Answer:
x=1
Step-by-step explanation:
subtract 38 from both sides:
7x=7
divide both sides by 7 to isolate x:
x=1
HOPE THIS HELPS!!!! :)
In the figure below, angle y and angle x form vertical angles. Angle x forms a straight line with the 50° angle and the 40° angle.
A straight line is shown and is marked with three angles. The first angle measures 50 degrees. The second angle measures 60 degrees. The third angle is labeled x. The line between the 40 degree angle and angle x extends below the straight line. The angle formed is labeled angle y.
Write and solve an equation to determine the measure of angle y.
Answer: The answer is B
Step-by-step explanation:
According to Hooke's Law, the force needed to stretch a spring varies directly to the amount the spring is stretched. If 50 pounds of force stretches a spring five inches, how much will the spring be stretched by a force of 180 pounds? inches
The length a spring stretches when subjected to the given load is required.
The spring is stretched by 18 inches.
Hooke's lawF = Force
k = Spring constant
x = Stretched length
[tex]F=50\ \text{lbf}[/tex]
[tex]x=5\ \text{inch}[/tex]
Hooke's law is given by
[tex]F=kx\\\Rightarrow 50=k5\\\Rightarrow k=\dfrac{50}{5}\\\Rightarrow k=10\ \text{lbf/inch}[/tex]
[tex]F=180\ \text{lbf}[/tex]
For the required spring
[tex]F=kx\\\Rightarrow x=\dfrac{F}{k}\\\Rightarrow x=\dfrac{180}{10}\\\Rightarrow x=18\ \text{inches}[/tex]
Learn more about Hooke's law:
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The expression (x-6)^2 is equivalent to
Answer:
2−12x+36
Step-by-step explanation:
Answer:
(x-6)² = (x-6)(x-6) = x² - 12x + 36
Step-by-step explanation:
Factor 6x2 + 12x - 9 completely.
A
3(2x² + (-3)
+ 4x –
B 6x(x – 7)
3(2x - 3)(x + 1)
D 3(2x + 1) (x – 3)
Answer:
work is pictured and shown
HELP ASAP ITS SO HARD! Kelsey did the following division problem. Her teacher says that the quotient she found is wrong. −2 5/6 ÷ 1 1/3 −17/6 ÷ 4/3 −6/17• 3/4 −6×3 divided by 17×4 −18/68 −9/34 A. Identify what Kelsey did wrong in her calculations. B. Find the correct quotient, showing all of your calculations.
Part A
Her steps were
[tex]-2 \frac{5}{6} \div 1 \frac{1}{3}\\\\-\frac{17}{6} \div \frac{4}{3}\\\\-\frac{6}{17} \times \frac{3}{4}\\\\-\frac{6\times 3}{17\times4}\\\\-\frac{18}{68}\\\\-\frac{9}{34}\\\\[/tex]
Kelsey made a mistake on line 3. Note how the 17/6 flips to 6/17. This is not correct. You keep the first fraction the same, but you do flip the second fraction. This only applies when you divide two fractions.
The third step should look like [tex]-\frac{17}{6}\times \frac{3}{4}[/tex]
=======================================================
Part B
Here's what she should have written
[tex]-2 \frac{5}{6} \div 1 \frac{1}{3}\\\\-\frac{17}{6} \div \frac{4}{3}\\\\-\frac{17}{6} \times \frac{3}{4}\\\\-\frac{17\times 3}{6\times 4}\\\\-\frac{51}{24}\\\\-\frac{17}{8}\\\\[/tex]
If you want to convert that improper fraction to a mixed number, then you could do something like this
[tex]-\frac{17}{8} = -\frac{16+1}{8}\\\\-\frac{17}{8} = -\frac{16}{8}-\frac{1}{8}\\\\-\frac{17}{8} = -2 \frac{1}{8}\\\\[/tex]
Or you could divide 17 over 8 using long division to get 2 remainder 1. The 2 is the quotient that goes to the left of the 1/8. The remainder of 1 is the numerator of 1/8.
Based on the dots below, which of the following is a true statement
Answer:
Is there supposed to be some "dots" or something
2. Solve | 2x - 11 | < 3.
Answer:
4<x<7Step-by-step explanation:
[tex]\left|2x-11\right|<3\\\mathrm{Apply\:absolute\:rule}:\quad \\\mathrm{If}\:|u|\:<\:a,\:a>0\:\mathrm{then}\:-a\:<\:u\:<\:a\\\\-3<2x-11<3\\\\2x-11>-3\quad \mathrm{and}\quad \:2x-11<3\\\\2x-11>-3\quad :\quad x>4\\\\2x-11<3\quad :\quad x<7\\\\x>4\quad \mathrm{and}\quad \:x<7\\\\4<x<7[/tex]
Use the least common denominator of 10 and 15 to solve 2/10+7/15 .
Answer: 2/3
Step-by-step explanation: As you can see, the denominators are different so we need to find a common denominator to add these 2 fractions.
We find the common denominator by finding
the common multiple for these 2 denominators.
Multiples of 10
1 x 10 = 10
2 x 10 = 20
3 x 10 = 30
Multiples of 15
1 x 15 = 15
2 x 15 = 30
As you can see, we have a common multiple of 30.
To get 30 in the denominator of 2/10, multiply top and bottom by 3.
To get 30 in the denominator of 7/15, multiply top and bottom by 2.
So we have 6/30 + 14/30 which is 20/30.
20/30 can be reduced to 2/3.
*PLEASE ANSWER* What is the value of d if the volume of Prism f is 99 cubic units?
Answer:
d = 3.46 units
Step-by-step explanation:
The diagram is a rectangular prism.
volume of a rectangular prism = Length × width × height
height = 5.2 units
volume = 99 units³
length = 5.5 units
width = d
Now we need to find the width which is d
volume = L × w × h
99= 5.5 × d × 5.2
99 = 28.6d
then u divide both sides by 28.6
d = 99/28.6
d = 3.4615384615
d = 3.46 units
PLz mark brainliest!
what is x if y is 50, it is equivalent to 9/150. the first peep gets brainliest
━━━━━━━☆☆━━━━━━━
▹ Answer
x = 3
▹ Step-by-Step Explanation
[tex]\frac{9}{150} \\\\150/3 = 50\\9/3 = 3\\\\x = 3[/tex]
Hope this helps!
CloutAnswers ❁
━━━━━━━☆☆━━━━━━━
A pair of dice is rolled. What is the probability that the sum of the two dice will be greater than 8 given that the first die rolled is a 5?
Answer:
1/2
Step-by-step explanation:
First die rolled 5
Second die can roll 1, 2, 3, 4, 5, 6
Only if the second die rolls 4, 5, 6 will the sum be greater than 8.
p(sum > 8) = 3/6 = 1/2
Answer: 1/2
Step-by-step explanation:
First die rolled 5
Second die can roll 1, 2, 3, 4, 5, 6
Only if the second die rolls 4, 5, 6 will the sum be greater than 8.
p(sum > 8) = 3/6 = 1/2
An average person's hair grows at a rate of 19cm per year how fast in inches per month does the average person hair grow in conversion factor round you answer to the nearest tenths
Answer:
Around 1.6 cm per month
Step-by-step explanation:
We can set up a proportion to find how much the hair grows per month. It's important to note that there are 12 months in a year, so we can represent a year as 12 months.
[tex]\frac{19}{12} = \frac{x}{1}[/tex]
We can now cross multiply:
[tex]19\cdot1=19\\\\19\div12=1.58\overline{33}[/tex]
1.58333... rounds to 1.6.
Hope this helped!
Work out the circumference of a circle with diameter 1.8 cm.
Take a to be 3.142 and give your answer to 1 decimal place.
Answer:
The answer is
5.6 cmStep-by-step explanation:
Circumference of a circle( C) = πd
where d is the diameter
π = 3.142
From the question
d = 1.8cm
Substitute d = 1.8 into the above formula
Circumference of the circle is
3.142 × 1.8
= 5.6556
We have the final answer as
C = 5.6 cm to one decimal placeHope this helps you
Which measurement is equal to 6 kilograms?
Answer:
6000 metres is equal to 6 kilograms
Please help me with this problem. I will give brainliest!
Answer:
The number of people in one session that will spend within two standard deviations below the mean and one standard deviations above the mean time on Facespace is 394 people
Step-by-step explanation:
The given information are;
The mean time spent of Facespace, μ = 30 minutes
The standard deviation of the time spent daily, σ = 6 minutes
The number of people in one sitting, n = 2900 people
The time spent two standard deviations below the mean = 30 - 12 = 18 minutes
The time spent one standard deviations above the mean = 30 + 6 = 36 minutes
The Z-score values are;
[tex]Z=\dfrac{x-\mu }{\sigma }[/tex]
Which gives;
For x = 30
[tex]Z=\dfrac{36-30 }{6 } = 1[/tex]
For x = 18
[tex]Z=\dfrac{18-30 }{6 } = -2[/tex]
From the z-score table, we have;
P(Z > -2) = 1 - 0.02275 = 0.97725
P(Z < 1) = 0.84134
Therefore, the probability P(-2 < Z < 1) = 0.97725 - 0.84134 = 0.13591
Given that there are 2900 are on in one sitting, the number of them that will lie within two standard deviations below the mean and one standard deviations above the mean = 2900 × 0.13591 = 394.139 which is approximately 394 people.
True or false? If false give counterexample The product of a rational number and an integer is not an integer
Answer:
False
Step-by-step explanation:
Required
State if the product of rational numbers and integer is an integer
The statement is false and the proof is as follows
Literally, rational numbers are decimal numbers that can be represented as a fraction of two integers;
Take for instance: 0.2, 0.5, 2.25, etc.
When any of these numbers is multiplied by an integer, the resulting number can take any of two forms;
1. It can result to an integer:
For instance;
[tex]0.2 * 5 = 1[/tex]
[tex]0.5 * 4 = 2[/tex]
[tex]2.25 * 8 = 18[/tex]
2. It can result in a decimal number
For instance;
[tex]0.2 * 3 = 0.6[/tex]
[tex]0.5 * 5 = 2.5[/tex]
[tex]2.25 * 7 = 15.75[/tex]
From (1) above, we understand that the product can result in an integer.
Hence, the statement is false
In Art Class, you designed a rectangle stained glass window. The
length is (2x+2) inches, and the height is 6x. What is the perimeter of
the window? (Hint: draw a diagram and label the sides)
Answer:
Step-by-step explanation:
Draw a triangle and label the sides (picture below):
● the length is 2x+2
● and the width or the height is 6x
The perimeter of a rectangle is the sum of the sides
● P = 2x+2 + 6x + 2x+2 + 6x
Isolate the similar terms
● P = (2x+2x+6x+6x) + (2+2)
● P = 16x + 4
The perimeter of the window of lengths 2x+2 and 6x is 16x + 4
The formula for calculating the perimeter of a rectangle is expressed as:
[tex]P=2(L+W)[/tex] where:
L is the length of the rectangular stained glass window.
W is the width of the rectangle stained glass window
Given the following
L = (2x +2) inches
W = 6x inches
Substitute the given values into the formula as shown:
[tex]P = 2(2x+2+6x)\\P=2(2x+6x+2)\\P=2(8x+2)\\P=2(8x)+2(2)\\P=16x+4[/tex]
Hence the perimeter of the window is 16x + 4
Learn more here: https://brainly.com/question/10452031
Find the quotient. (5x4 – 3x2 + 4) ÷ (x + 1)
Answer:
A
Step-by-step explanation:
The quotient is 5x³ -5x² + 2x -2.
What is Synthetic Division?Synthetic division is typically used to identify the zeroes of polynomials and is described as "a simplified method of dividing a polynomial with another polynomial equation of degree 1." This division method requires less human calculation effort than the lengthy division method.
Given:
(5[tex]x^4[/tex] – 3x² + 4) ÷ (x + 1)
So, the division is
(x+1) | (5[tex]x^4[/tex] – 3x² + 4) | 5x³ -5x² + 2x -2
5[tex]x^4[/tex] + 5x³
___________
-5x³ - 3x²
-5x³ - 5x²
____________
2x² + 4
2x² + 2x
____________
4 - 2x
-2 - 2x
_______
6
Hence, the quotient is 5x³ -5x² + 2x -2.
Learn more about Synthetic Division here:
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Find the constant of proportionality (r) in the equation y = r x
Answer:
The constant of proportionality is 11
Step-by-step explanation:
Since the proportionality is given by:
y = r x (with "r" the constant of proportionality)
and according to the table:
22 = r (2)
then r = 22/2 = 11
PLEASE HELP!! URGENT!! i will mark brainliest if its right!! In the figure below, ∠DEC ≅ ∠DCE, ∠B ≅ ∠F, and DF ≅ BD. Point C is the point of intersection between AG and BD while point E is the point of intersection between AG and DF. Prove ΔABC ≅ ΔGFE.
Answer:
See below.
Step-by-step explanation:
This is how you prove it.
<B and <F are given as congruent.
This is 1 pair of congruent angles for triangles ABC and GFE.
<DEC and <DCE are given as congruent.
Using vertical angles and substitution of transitivity of congruence of angles, show that angles ACB and GEF are congruent.
This is 1 pair of congruent angles for triangles ABC and GFE.
Now you need another side to do either AAS or ASA.
Look at triangle DCE. Using the fact that angles DEC and DCE are congruent, opposite sides are congruent, so segments DC and DE are congruent. You are told segments DF and BD are congruent. Using segment addition postulate and substitution, show that segments CB and EF are congruent.
Now you have 1 pair of included sides congruent ABC and GFE.
Now using ASA, you prove triangles ABC and GFE congruent.
Find the values of θ in the range 0≤θ≤360° which satisfy: 2 sin^2 θ - sinθ -1= 0
Answer:
Step-by-step explanation:
Solving trig equations are just like solving "regular" equations. Let's get to it. First and foremost we are going to make a "u" substitution. You'll use that all the time in calculus, if you choose to go that route. Let
[tex]sin^2 \theta=u^2[/tex] and sinθ = u. Making the substitution, the equation becomes:
[tex]2u^2-u-1=0[/tex]
That looks like something that can be factored, right? If you throw it into the quadratic formula you get the factors:
(u - 1)(2u + 1) = 0
By the Zero Product Property, either u - 1 = 0 or 2u + 1 = 0, so we will solve those, but not until after we back-substitute!
Putting sinθ back in for u:
sinθ - 1 = 0 so
sinθ = 1 and in the other equation:
2sinθ + 1 = 0 so
2sinθ = -1 and
[tex]sin\theta=-\frac{1}{2}[/tex]
Get out the unit circle and look to where the sinθ has a value of 1. There's only one place in your interval, and it's at 90 degrees.
Now look to where the sinθ has a value of -1/2. There are 2 places within your interval, and those are at 210° and 330°. Now you're done!
19) Caculate the unit rate. Driving 95 miles on 3 gallons of
gas. How many miles are driven on 1 gallon of gas?
Answer:
31.6666666 miles / gallon
Step-by-step explanation:
Take the miles and divide by the gallons
95 miles / 3 gallons
31.6666666 miles / gallon
Integers contain the whole numbers. True False
Answer:
Integers include whole numbers. However, whole numbers are the list of positive integers, INCLUDING 0. A whole number cannot be negative.
Step-by-step explanation:
Answer and Step-by-step explanation:
True
Whole Numbers { 0, 1, 2, 3, 4, . . . }
Counting Numbers { 1, 2, 3, 4, . . . }
Integers { . . . −4, −3, −2, −1, 0, 1, 2, 3, 4, . . . }
when its a positive integers, say "positive integers"
(note: zero isn't positive or negative):
Integers are a whole numbers, but they also include negative numbers.
But still no fractions allowed!
Integers = { . . . , −4, −3, −2, −1, 0, 1, 2, 3, 4, . . . }
Negative Integers = { . . . , −4, −3, −2, −1 }
Positive Integers = { 1, 2, 3, 4, . . . }
Non-Negative Integers = { 0, 1, 2, 3, 4, . . . } (it includes zero you see)
hope it helps.
pls solve this questions ,,with proper working..plsssssssss heeeeelpppp meeee......need to pass up tomorrow assignment..ASAP
Answer:
1). 114.29 km per hour
2). 93.24 km per hour
Step-by-step explanation:
Question (1)
Umar drove his taxi in two parts;
1). Ipoh to Tapah
2). Tapah to Kuala Lumpur
Since, the formula to calculate the average speed = [tex]\frac{\text{Distance}}{\text{Time}}[/tex]
Total distance from Ipoh to Tapah = 60 km
Average speed to cover this distance = 100 km per h
Time taken to cover this distance = [tex]\frac{\text{Distance covered}}{\text{Speed}}[/tex]
= [tex]\frac{60}{100}[/tex]
= 0.6 hours
Total distance from Ipoh to Kuala Lumpur = 220 km per h
Average speed from Ipoh to Kuala Lumpur = 110 km per h
Time taken to cover the distance = [tex]\frac{220}{110}[/tex] = 2 hours
Distance from Tapah to Kuala lumpur = 220 - 60
= 160 km
Time taken to travel from Tapah to Kuala Lumpur = 2 - 0.6
= 1.4 hours
Average speed from Tapah to Kuala Lumpur = [tex]\frac{160}{1.4}[/tex]
= 114. 29 km per hour
Question (2).
Speed achieved by the leopard = 25.9 meter per sec.
Since, 25.9 meter = [tex]\frac{25.9}{1000}[/tex] km
= 0.0259 km
1 second = [tex]\frac{1}{3600}[/tex] hour
Therefore 25.9 meter per second = [tex]\frac{0.0259}{\frac{1}{3600} }[/tex]
= 0.0259 × 3600
= 93.24 km per hour
how many are 1 raised to 3 ???
Answer:
1
Step-by-step explanation:
1^3
This is 1 multiplied by itself 3 times
1*1*1
1
I NEED HELP PLEASE I GIVE 5 STARS !
Answer:
I'm pretty sure 8 is the correct answer
Step-by-step explanation:
(-1)^(3/7) x 128^(3/7)
-1 x 128^3/7
128^(3/7) = 8
= 8
Given b(x)=√3x+3 evaluate f(11) I really need help with this.
Step-by-step explanation:
[tex]\huge{\purple{\underline{\underline{\bf{\pink{Answer}}}}}}[/tex]
in we have x = 11
put the value of x in equation
[tex]b(11) = \sqrt{3} (11) + 3[/tex]
[tex]b(11) = 11 \sqrt{3} + 3[/tex]
so x = 11√3
Hope it helps
Vanessa owed her friend $24. She paid back $8. How much more does Vanessa need to pay before her account is at zero?
Answer:
$16
Step-by-step explanation:
$24 - $8 = $16
Answer:
$ 16
Step-by-step explanation:
$ 24 - $ 8 = $ 16
1. In a batch of 10 items, we wish to extract a sample of 3 without replacement. How many
different samples can we extract?
2. Let X and Y be independent random variables. Suppose the respective expected values
are E(X) = 8 and E(Y) = 3 and the respective variances are V(X) = 9 and V(Y) = 6. Let Z be
defined as Z = 2X - 3Y +5. Based on these data, the value of E(Z) is_ and the value
of V(Z) is
3. The ratio of milk water in 55 liters of adulterated milk is 7: 4. How much water must be
added to make the mixture in a ratio of 7:6?
a) 5 liters
b) 10 liters
c) 15 liters d) None of these
Answer:
1) 120
2) E (Z) = 12 and Variance of Z = 90
a) 5 liters
Step-by-step explanation:
1. We can find this by suing combinations.
Here n= 10 and r= 3 so n C r
= 10 C 3= 120
2. E(X) = 8 and E(Y) = 3
Z = 2X - 3Y +5
E(Z ) = 2 E (X) - 3(E)(Y) +5 ( applying property for mean)
= 2(8) - 3(3)+ 5 = 16+5-9= 21-9= 12
V(X) = 9 and V(Y) = 6.
V(Z) = E(Z )²- V(X) *V(Y) (applying property for Variance for two variables )
= 144- 54= 90
3. 55 liters contain adulterated milk in 7: 4.
So it contains 4/ 11*55= 20 liters of water
But we want to make it a ratio of 7:6
the water will be 6/13 *55= 25.38 when rounded gives 25 liters of water
So 25- 20 = 5 liters must be added to make it a ratio of 7:6