Ms. Garcia bought 3 packs of red notepads,
5 packs of yellow notepads, and 8 packs of
green notepads. There were 3 notepads in each
package. How many notepads did Ms. Garcia
buy in all?
Answer: red = 9, yellow = 15 green = 24, total = 48 notepads were bought.
Step-by-step explanation:
3 x 3 = 9, so 9 red. 3 x 5 = 15, so 15 yellow. 3 x 8 = 24, so 24 green. In total this is equal to 48 notepads. 9 + 15 + 24 = 48.
If a perimeter of a figure is 56 m
What is the area ?
The perimeter of a square is 56 M the area of rectangle is 8 square metre less than the area of the given figure square if the length of the rectangle is 16 m then breadth is 11.75 m
The perimeter of square = ( 4 ) ( side )
( 4 ) ( side ) = 56
side = 56 ÷ 4
side = 14 m
The area of the of the rectangle is 8m² less than the area of the square
Area of the square = ( side )²
Area = ( 14 )²
Area = 196 m²
Now, the area of the rectangle = ( length ) × ( breadth )
Area = 196 - 8
Area= 188 m²
( length ) × ( breadth ) = 188 m²
Length = 16
( 16 ) × ( breadth ) = 188
Breadth = 188 ÷ 16
=11.75 m
Hence, the perimeter of a square is 56 M the area of rectangle is 8 square metre less than the area of the given figure square if the length of the rectangle is 16 m then breadth is 11.75 m
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the perimeter of a square is 56 M the area of rectangle is 8 square metre less than the area of the given figure square if the length of the rectangle is 16 m find its breadth
Use the game board to answer
each question.
7. What fraction of the game board is orange?Write the fraction using three different forms.
The fraction of the game board that is orange is 1/6
What fraction of the game board is orangeFrom the question, we have the following parameters that can be used in our computation:
Sections = 6
Orange = 1
using the above as a guide, we have the following:
Fraction = Orange /Total Number of sections
So, we have
Fraction = 1/6
Other forms of the fraction are
Fraction = 2/12 and 3/18
Hence, the fraction is 2/6
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Express each of the following as a function of 50°:
1. sin310°
Expressing the trig ratio as a function of 50°, we have sin310° = sin(360 - 50)°
Expressing each as a function in terms of 50 degreesFrom the question, we have the following trigonometry function that can be used in our computation:
sin310°
The above expression is a sine function of 310 degrees
By mathematical expression, we have
360 - 50 = 310 degrees
This means that we can replace 310 degrees with (360 - 50) degrees in sin310°
So; in terms of 50 degrees, we have
sin310° = sin(360 - 50)°
Hence, the expression sin310° in terms of 50 degrees is sin(360 - 50)°
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The expression V2 (V2Z) is called _________ ?
The expression [tex]V^2 (V^2_Z)[/tex] is called mean-square speed.
What is mean-square speed?In Mathematics and Science, mean-square speed is sometimes referred to as root-mean-square speed and it can be defined as a measure of the average value of square-speed of particles that are found in a molecule, gas, or liquid.
Mathematically, the mean-square speed of any particle is denoted or represented by this expression [tex]V^2 (V^2_Z)[/tex].
This ultimately implies that, mean-square speed is always calculated as the square root of the average value of the squares of the speeds (velocities) of each particles in thermodynamics and kinetic theory of gases.
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Complete Question:
The expression [tex]V^2 (V^2_Z)[/tex] is called ______?
Philip finances a new refrigerator.
The function y = 600 - 75x
represents the remaining balance, y,
of the refrigerator purchase after
x months.
The domain and the range of the function are given as follows:
Domain: 0 ≤ x ≤ 8.Range: 0 ≤ y ≤ 600.What are the domain and range of a function?The domain of a function is the set that contains all possible input values of the function, that is, all the values assumed by the independent variable x in the function.The range of a function is the set that contains all possible output values of the function, that is, all the values assumed by the dependent variable y in the function.The function in this problem is given as follows:
y = 600 - 75x.
The input variable x represents the number of months, which cannot be negative, hence the lower bound of the domain is given as follows:
x = 0.
Meaning that the upper bound of the range is of y = 600.
The balance remaining cannot be negative, hence:
The lower bound of the range is of y = 0.The upper bound of the domain is: 600 - 75x = 0 -> x = 600/75 -> x = 8.Missing InformationThe problem asks for the domain and the range of the function.
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CAN SOMONE HELP WITH THIS QUESTION?
a) The height of the stone 5 seconds later is: 90 feet
b) The time at which the stone hits the ground is: 7.66 secs
c) The velocity of the stone when it hits the ground is: 227 ft/sec
How to solve Projectile Motion Problems?We are given:
Height above ground: h = 800 feet
Initial speed: u = 18 feet per second
(A.) Height of the stone at t = 5 seconds.
g = -32feet/sec²
t = 5 sec.
Since the stone is thrown vertically upward from some height X = 800 feet, so the total height will be:
h = X + ut + 1/2at²
h = 800 + (18*5) + ¹/₂ * (-32) * (5²)
h = 90 feet
(B.) At what time did the stone hit the ground, that means height, h = 0.
0 = 800 + (18t) + ¹/₂ * (-32) * (t²)
16t² - 18t - 800 = 0
t = 18 ± √-18² - 4 * 16 * (-800)/2*16
t = 7.66 sec
So at t = 7.66 secs, the stone hits the ground.
(C.) The velocity when the stone hits the ground.
Using the energy conservation theorem,
Initial total energy = Final total energy.
¹/₂mu² + mgh = ¹/₂mv² + 0
u² + 2gh = v²
v² = 18² + 2*32*800
v=√18² + 2*32*800
v = 227 ft/sec
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NO LINKS!! URGENT HELP PLEASE!!!
Find the equation of a parabola with a vertex at (-2, 6) and that passes through the (-4, -5)
Answer:
[tex]\frac{-11}{4} (x + 2)^2 + 6.[/tex]
Step-by-step explanation:
As we know that
The standard equation of a parabola with vertex at point (h,k) is given by:
[tex]y = a(x-h)^2 + k[/tex]
where (h,k) is the vertex
and "a" is a coefficient that determines the direction and shape of the parabola.
We know that the vertex of our parabola is (-2, 6),
so we can substitute those values into the equation to get:
[tex]y = a(x + 2)^2 + 6[/tex]
Now finding a.
Since the parabola passes through point (-4, -5). Substituting these coordinates into the equation, we get:
-5 = a(-4 + 2)^2 + 6
-5 =a(-2)^2+6
-5=4a +6
-5-6=4a
4a=-11
a =- 11/4
Substituting the value of an equation second, we get
[tex]\frac{-11}{4} (x + 2)^2 + 6.[/tex]
Therefore, the equation of the parabola with a vertex at (-2, 6) and passing through (-4, -5) is y =
[tex] \frac{-11}{4} (x + 2)^2 + 6[/tex]
Answer:
[tex]y=-\dfrac{11}{4}(x+2)^2+6[/tex]
Step-by-step explanation:
The vertex form of a parabola is:
[tex]\boxed{y=a(x-h)^2+k}[/tex]
where:
(h, k) is the vertex."a" is the leading coefficient.Given the vertex is at (-2, 6), substitute h = -2 and k = 6 into the equation:
[tex]y=a(x-(-2))^2+6[/tex]
[tex]y=a(x+2)^2+6[/tex]
To find the value of a, substitute the point (-4, -5) into the equation and solve for a:
[tex]\begin{aligned}-5&=a(-4+2)^2+6\\-5&=a(-2)^2+6\\-5&=4a+6\\-5-6&=4a+6-6\\-11&=4a\\\dfrac{-11}{4}&=\dfrac{4a}{4}\\-\dfrac{11}{4}&=a\\a&=-\dfrac{11}{4}\end{aligned}[/tex]
Substitute the found value of a back into the equation:
[tex]y=-\dfrac{11}{4}(x+2)^2+6[/tex]
Therefore, the equation of a parabola with a vertex at (-2, 6) and that passes through the point (-4, -5) is:
[tex]\boxed{y=-\dfrac{11}{4}(x+2)^2+6}[/tex]
Express each of the following as a function or 15°:
1. sin195°
2. cos75°
3. tan345°
4. sin105°
5. sin225°
You can express sin195° as -sin15° by using the trig identities.
Here is how to simplify trigWe will be applying trig identities to solve this question
sin195°:
Recall that:
sin(x + 180°) = -sin(x)
then:
sin(195°) = sin(15° + 180°) = -sin(15°)
Therefore,
sin(195°) = -sin(15°).
cos75°:
Recall that:
cos(x) = sin(90° - x)
then:
cos(75°) = sin(90° - 75°) = sin(15°)
Therefore,
cos(75°) = sin(15°)
tan345°:
Recall that:
tan(x + 180°) = tan(x)
then:
tan(345°) = tan(15° + 330°) = tan(15°)
Therefore,
tan(345°) = tan(15°)
sin105°:
Recall that:
sin(x + 90°) = cos(x)
then:
sin(105°) = cos(15°)
Therefore,
sin(105°) = cos(15°).
sin225°:
Recall that:
sin(x + 180°) = -sin(x)
then:
sin(225°) = sin(45° + 180°) = -sin(45°)
Therefore,
sin(195°) = -sin(15°).
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Autumn's Pumpkin Patch started the day with 432 pumpkins, each priced at $5. Most of
the pumpkins sold. At the end of the day, there were only 129 pumpkins left. How much
money did the pumpkin patch make today?
Answer:
It's very simple you just subtract 432 and 129. And you get 303. Then you just multiple 303 by 5 and you get 1515.
1515
The business checking account for a pottery store had a balance of $7349.44 before checks for $1349.67 and $344.12 were written. The store manager then deposited $956.60. Find the checkbook balance
The checkbook balance is $5703.25.
To find the checkbook balance, we need to start with the original balance and then subtract the amounts of the checks written and add the amount of the deposit.
Original balance: $7349.44
Checks written: $1349.67 + $344.12 = $1693.79
Deposit: $956.60
To find the checkbook balance, we can subtract the total amount of the checks written from the original balance and then add the deposit:
Checkbook balance = Original balance - Checks written + Deposit
Checkbook balance = $7349.44 - $1693.79 + $956.60
Checkbook balance = $5703.25
Therefore, the checkbook balance after store manager deposited $956.60 is $5703.25.
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Determine whether the ordered pair is a solution to the given equation.
(−4, 24); y = −6x
Answer: Yes, (-4, 24) is a solution to the given equation.
Step-by-step explanation:
24 = -6(-4)
24 = 24
Kenneth, a competitor in cup stacking, claims that his average stacking time is 8.2 seconds. During a practice session, Kenneth has a sample stacking time mean of 7.8 seconds based on 11 trials.
Answer:
Kenneth's average stacking time is less than 8.2 seconds.
Brainly wouldn't allow me to give an explanation because apparently, it contains inappropriate words..? How odd.
Answer:
The data does not provide sufficient evidence to conclude that Kenneth's mean stacking time is is less than 8.2 seconds
Do not reject the null hypothesis because the p-value 0.0401 is greater than the significance level.
Step-by-step explanation:
Null hypothesis (H0): mu = 8.2 seconds
Alternate hypothesis (Ha): mu < 8.2 seconds
Significance level = 0.04
p-value = 0.0401
Using the p-value approach for testing hypothesis, do not reject H0 because the p-value 0.0401 is greater than the significance level 0.04.
There is not sufficient evidence to conclude that Kenneth's mean stacking time is less than 8.2 seconds.
Find the value of x in the isosceles triangle shown below
Check the picture below.
[tex]\begin{array}{llll} \textit{using the pythagorean theorem} \\\\ a^2+o^2=c^2\implies o=\sqrt{c^2 - a^2} \end{array} \qquad \begin{cases} c=\stackrel{hypotenuse}{8}\\ a=\stackrel{adjacent}{2}\\ o=\stackrel{opposite}{x} \end{cases} \\\\\\ x=\sqrt{ 8^2 - 2^2}\implies x=\sqrt{ 64 - 4 } \implies x=\sqrt{ 60 }[/tex]
Which comparison is true? (Homework)
A) 8 x 2 5/6 < 8
B) 2 x 1 2/5 > 2
C) 5 x 1 1/3 < 5
D) 7 x 3/7 > 7
B.
B, is the true comparison
Is the function g(x)=8 linear or nonlinear?
Answer:
It's linear
Step-by-step explanation:
Answer:
Linear
Step-by-step explanation:
This graph represents the flight path of a model rocket launched in a park.
What do the key features of the curve represent in terms of the flight path of the rocket?
Chose from the drop-down to match each situation.
ill give brainlyest to the first to correctly answer this
The drop down menu is used to match each situation as below.
1. The rocket reached its maximum the x-value of the vertex
height in 5 s.
2. ground level the y-intercept
3. The rocket launcher was the y-value of the point containing
on the ground. the x-intercept on the right
4. The rocket was in the air 10 the x-intercept on the right
5. The maximum height of the the y-value of the vertex
rocket is 50 ft.
6. the time the rocket was the x-value of the point containing the
launched y-intercept
What is the key feature of the curveThe key features of the curve such as the x intercept is the point the launcher and the rocket were on ground.
The vertex is the point the rocket had the maximum and height.
Generally, the curve traces a parabolic path
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An employee receives a 3% raise once per year. If the employee's initial salary is $65,800.00, what will the employee's salary be after 7 years?
Answer:
$79,618
Step-by-step explanation:
7 years x 3% = 21%
$65,800 x 21% = $13,818
$65,800 + $13, 818 = $79,618
4. Marcy makes $19 an hour working as a librarian. She gets a 5% raise.
Which of the following statements are true about Marcy's new rate of pay? Select the 3 correct answers.
A Marcy will make an additional 1/20 of her salary an hour.
B Marcy will make an additional $0.95 an hour.
C Marcy’s new hourly rate is $19.50 an hour.
D After working 10 hours at the new rate, Marcy will make $195.
E After working 15 hours at the new rate, Marcy willmake $299.25.
The ratio of the sides of rectangle LMNP to the sides of rectangle TUVW is 1:4. The length of LM is 3.6 in, and the length of UV is 16 in.
What is the difference between the areas of the two rectangles?
A. 226 in2
B. 172.8 in2
C. 211 in2
D. 216 in2
HELP PLS ILL PUT MAX POINTS AS I CAN ALSO CHECK PICTURE
The expression which has the greatest value is 1 7/8 divided by 1/12
• For the first question, [tex]\frac{3}{4} /\frac{1}{3} =2 \frac{1}{4}[/tex]
• For the second question, [tex]\frac{3}{4} / \frac{1}{12} = 9[/tex]
• For the third question, [tex]1 \frac{7}{8} =\frac{15}{8}[/tex] so [tex]\frac{15}{8} /\frac{1}{12} = 22 \frac{1}{2}[/tex]
• For the fourth question, [tex]1 \frac{7}{8} =\frac{15}{8}[/tex] so [tex]\frac{15}{8} /\frac{1}{3} = 5 \frac{5}{8}[/tex]
—————
Please remember to revise this and make it in your own words if you want! I tried to speed this up a lot! I hope this helps you. -Doodle
—————
Answer:
1 7/8 / 1/ 12 has the greatest value
Step-by-step explanation:
5. Is the bottom shelf parallel to the middle shelf? Explain. (2 points)
Answer:
Yes, the bottom shelf is parallel to the middle shelf. Angle 6 measures 120°, so angles 6 and 11 are congruent alternate exterior angles.
A rectangular field is four times as long as it is wideIf the perimeter of the field is 300yards, what are the field's dimensions?
Answer:
Length = 120 yards, width = 30 yards.
Step-by-step explanation:
Lets use [tex]l[/tex] for length and [tex]w[/tex] for width.
The perimeter of a rectangular field is [tex]2l + 2w[/tex]. We can construct the following equations:
[tex]4w = l[/tex].
[tex]2l + 2w = 300.[/tex]
If we plug [tex]4w[/tex] in for [tex]l[/tex] into the second equation, we get:
[tex]2w + 2(4w) = 300.[/tex]
[tex]2w+8w = 300.[/tex]
[tex]10w = 300.[/tex]
[tex]w= 30.[/tex]
Plug 30 in for [tex]w[/tex] into the first equation.
[tex]l = 4*30 = 120.[/tex]
Length = 120 yards, width = 30 yards.
URGENT!! ILL GIVE BRAINLIEST! ALONG WITH 100 POINTS!!!!
If you know what question this is please answer I couldn’t fit everything in the picture :(
Restaurant
No commute 3
0-1 Hr Commute 10
> 1 Hr Commute 28
Sum 41
The correct groupings for each probability are given below as follows:
The probability that you have more than a 1 hour commute: Marginal-57/134 = 42.5% chanceThe probability that you make a home-cooked meal and you have more than a 1-hour commute: Joint-7/134 = 5% chanceThe probability that you eat at a restaurant given that you have no commute: Conditional-3/37 = 8% chanceThe probability that you get takeout food: Marginal-50/134 = 37% chanceThe probability that you eat at the restaurant and have no commute: Joint probability 3/134 = 2% chanceThe probability that you commute 0-1 hour given that you get take-out food: Conditional-18/50 = 36% chanceWhat is joint probability?The possibility of two events occurring simultaneously and at the same time is known as joint probability.
Joint probability is the likelihood that event Y will take place at the same time as event X.
An example of a joint probability is the probability that you eat at the restaurant and have no commute
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the sum of a numberator and a denominator of a fraction is 4140. when reduced fraction, it is 7/13
6+
5-
4+
3-
2+
1+
y
++
-6 5-4-3-2-1₁-
-2+
-3+
4+
-5+
-6+
2 3 4 5 6
f(x)=(x-3)²-4
Consider the function shown. How can you restrict the
domain so that f(x) has an inverse? What is the
equation of the inverse function?
0x20;-¹(x)=3-√x+4
O x ≥ 0;¹(x) = 3+√x+4
x23;¹(x)=3-√√x+4
x23;¹(x)=3+√√x+4
The inverse function of f(x) = (x - 3)²- 4 is f-1(x) = 3 + √(x + 4)
What is the inverse function of f(x) = (x - 3)²- 4From the question, we have the following parameters that can be used in our computation:
f(x) = (x - 3)²- 4
Rewrite as
y = (x - 3)²- 4
Swap x and y
So, we have
x = (y - 3)²- 4
This gives
(y - 3)² = x + 4
Take teh square roots of both sides
y - 3 = √(x + 4)
So, we have
y = 3 + √(x + 4)
So, the inverse function is f-1(x) = 3 + √(x + 4)
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The letters in the word HORSES are arranged in a row.How many unique arrangements are there of the letters?
Enter your answer in the box.
_____ arrangements
Answer:
180
Step-by-step explanation:
The word HORSES has 6 distinct letters, so we can arrange them in 6! = 720 ways if all the letters were unique.
However, in this case, the letters E and S are repeated twice. Therefore, we must divide by the number of arrangements of the repeated letters to avoid counting the same arrangement more than once.
The letter E appears twice, so there are 2! = 2 ways to arrange the E's within the word. Similarly, the letter S appears twice, so there are 2! = 2 ways to arrange the S's within the word.
Thus, the total number of unique arrangements of the letters in the word HORSES is:
6! / (2! × 2!) = 720 / 4 = 180
Therefore, there are 180 unique arrangements of the letters in the word HORSES.
[1/5x-4+2y]-[2/5x+5-4y]
Figure it out for my son.
Answer:
-x/5+6y-9
Step-by-step explanation:
This is simplified. I hope this helped you!
Select the correct answer. Solve the equation by using the quadratic formula. x^2+2x=6
The Value of x in the equation x^2+2x=6 is 1.645 or -3.654.
Rearranging the Given equation and Putting all values on other side of Zero.
x^2+2x=6
x^2+2x-6=0 ____________(1)
It can be seen that we can not have the multiples that counts of 6 so that they have a subtraction value 2. therefore, Using the Quadratic Formula for the above equation,
x=(-b±√(b²-4ac))/(2a) ___________(2)
where
a=1
b=2
c=-6
putting the values of a,b,c in the equation (2)
x=(-2±√(4²-4*1*(-6)))/(2*1)
x=(-2±2√7)/2
x=(-1±√7)/2
Solving the Values of x in simplified form, we get x=1.645 and -3.654.
Therefore, The Value of x in the equation x^2+2x=6 is 1.645 or -3.654.
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Find the sum of the first 5 terms of the geometric sequence 3, -9, 27,....
The sum of the first 5 terms of the sequence is 183.
We have,
The first term of the sequence is 3 and the common ratio is -3.
We can use the formula for the sum of the first n terms of a geometric sequence:
Sn = a(1 - r^n) / (1 - r)
where Sn is the sum of the first n terms, a is the first term, r is the common ratio, and n is the number of terms.
Plugging in the values we have:
S5 = 3(1 - (-3)^5) / (1 - (-3))
Simplifying:
S(5) = 3(1 + 243) / 4
S(5) = 3(244) / 4
S(5) = 183
Therefore,
The sum of the first 5 terms of the sequence is 183.
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