Question 24 :
P594.65 : 35 days
P594.65/7 : 35/7 days
P84.95 : 5 days
⇒ A. P84.95
Question 25 :
88.75 + 85.5 + 90.5 + 87.25 / 4
352/4
88
⇒ B. 88
Question 26 :
I = P × r × t
I = 580.00 × 0.065 × 1
I = P37.70
⇒ B. P37.70
Question 4(Multiple Choice Worth 4 points)
Which of the following is a rational number?
√1. √2. √3, √5
O√1
O √2
O√3
√√5
Answer:
1
Step-by-step explanation:
The square root of 1 is 1 so it is a rational number while others are irrational
Please answer all of the questions and if u are correct I will give u brainliest ;) xoxo <3
Answer:
the answer for the 2nd question is 1/4
Step-by-step explanation:
i took the test
The cost of renting a car is $46/week plus $0.25/mile traveled during that week. An equation to represent the cost would be y=46+0.25x, where x is the number of miles traveled.
a. What is your cost if you travel 57 miles?
The cost is $ ____________.
b. If your cost was $65.00, how many miles were you charged for traveling?
You were charged for traveling ____________ miles.
c. Suppose you have a maximum of $100 to spend for the car rental. What would be the maximum number of miles you could travel?
The maximum number of miles you could travel is ____________ miles.
Answer:
A. $60.25
B. 76 miles
C. 216 miles
Step-by-step explanation:
x is miles
y is total amount spent
For A, 57 miles is the x value. Plug that in to x.
y= 46 + .25(57)
y= 60.25
For B, the total is the y. So plug 65 in for y.
65 = 46 + .25x Subtract 46 from both sides
19 = .25x Divide by .25
76 = x
For C, the maximum you can spend is $100. Plug that in for y.
100 = 46 + .25x Subtract 46 from both sides
54 = .25x Divide by .25
216 = x
The answer for part a is $60.25, for part b the answer is 76 miles, and for part c the answer is 216 miles.
What is a function?It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
The equation to represent the cost would be y=46+0.25x
x is the number of miles.
a) What is your cost if you travel 57 miles?
Plug x = 57 in the above equation:
y = 46 + 0.25(57)
y = $60.25
b) If your cost was $65.00, how many miles were you charged for traveling?
Plug y = 65 in the equation:
65 = 46 + 0.25x
x = 76 miles
c) Suppose you have a maximum of $100 to spend for the car rental. What would be the maximum number of miles you could travel?
Plug y = 100 in the equation:
100 = 46 + 0.25x
x = 216 miles
Thus, the answer for part a is $60.25, for part b the answer is 76 miles, and for part c the answer is 216 miles.
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Drag each sign and value to the correct location on the image. Each sign and value can be used more than once, but not all signs and values will be used. The vertices of an ellipse are at (-5, -2) and (-5, 14), and the point (0, 6) lies on the ellipse. Drag the missing terms and signs to their correct places in the standard form of the equation of this ellipse.
The complete equation of the ellipse is [tex]\frac{(x + 5)^2}{5^2} + \frac{(y - 6)^2}{8^2} = 1[/tex]
How to complete the vertex equation?The complete question is in the attachment
The given parameters are:
Vertex = (-5,-2) and (-5,14)Point = (-0,6)The vertex is represented as (h, k ± a).
So, we have:
h = -5
k + a = 14
k - a = -2
Add the last two equations
2k = 12
Divide by 2
k = 6
Substitute k = 6 in k + a = 14
6 + a = 14
Solve for a
a = 8
The ellipse equation is represented as:
[tex]\frac{(x - h)^2}{b^2} + \frac{(y - k)^2}{a^2} = 1[/tex]
So, we have:
[tex]\frac{(x + 5)^2}{b^2} + \frac{(y - 6)^2}{8^2} = 1[/tex]
The ellipse passes through the point (0,6).
So, we have:
[tex]\frac{(0 + 5)^2}{b^2} + \frac{(6 - 6)^2}{8^2} = 1[/tex]
This gives
[tex]\frac{5^2}{b^2} + \frac{0}{8^2} = 1[/tex]
Evaluate the quotient
[tex]\frac{5^2}{b^2} = 1[/tex]
Cross multiply
[tex]b^2 = 5^2[/tex]
Take the square root of both sides
b = 5
Substitute b = 5 in [tex]\frac{(x + 5)^2}{b^2} + \frac{(y - 6)^2}{8^2} = 1[/tex]
[tex]\frac{(x + 5)^2}{5^2} + \frac{(y - 6)^2}{8^2} = 1[/tex]
Hence, the complete equation of the ellipse is [tex]\frac{(x + 5)^2}{5^2} + \frac{(y - 6)^2}{8^2} = 1[/tex]
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Identify the common ratio and first term and fill in the recursive formula for each of the following geometric sequences.
The first term will be 4 and the common ratio will be 2. And the nth term will be given as [tex]\rm a_n = a_{n -1} \cdot 2[/tex].
The complete question is attached below.
What is the geometric sequences?Let a be the first term and r be the common ratio. Then the geometric sequences will be
[tex]\rm a_n = a_{n -1} \cdot r[/tex]
The geometric sequence is given below.
4, 8, 16, 32, 64,................
Then the first term will be 4 and the common ratio will be 2.
And the nth term will be given as [tex]\rm a_n = a_{n -1} \cdot 2[/tex].
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calculate the median for: 5, 10, 12, 4, 6, 11, 13, 5r
Step-by-step explanation:
please mark me as brainlest
Answer:
8
Step-by-step explanation:
We need to sort your set into Least-to-Greatest order.
4, 5, 5, 6, 10, 11, 12, 13
That is your set in least to greatest order.
Which 2 numbers are in the middle?
They are 6 and 10.
Now, we find the mean of 6 and 10.
(6+10)/2 = 8
8 is your median
The diagram shows a triangle
inside a rectangle. All lengths are in cm.
Work out the area of the rectangle:
15
20
16
Answer:
Area = 180 cm^2
Step-by-step explanation:
See attached image. The width of the rectangle, a , is the hypotenuse of a right triangle with legs 15 and 20.
Use the Pythagorean Theorem: leg^2 +leg^2 = hypotenuse^2
[tex]a^2=15^2+20^2\\\\a^2=225+400\\\\a^2=625\\\\a=\sqrt{625}=15[/tex]
The width, w, is one leg of a right triangle that has hypotenuse 20 and one leg 16.
[tex]w^2+16^2=20^2\\\\w^2+256=400\\\\w^2=144\\\\w=\sqrt{144}=12[/tex]
The rectangle has length 15 cm and width 12 cm so its area is 12 x 15 = 180 cm^2
Answer:
AREA RECTANGLE =300 cm²
Step-by-step explanation:
If 2 of the 3 vertices of a triangle match up with 2 of the 4 vertices of a rectangle,then the area of the triangle will be exactly half of the area of the rectangle
(Or the area of the rectangle will be exactly double of the area of the triangle)
Area right triangle = ½ × base × height.
A = 1/2(15X20)
A=1/2( 300)
Area triangle =150
Area of rectangle is DOUBLE as the area of triangle
AREA RECTANGLE = 300
David rolls a fair dice 30 times. How many times would David expect to roll a number greater than 3?
Answer:
15
Step-by-step explanation:
so if its a 6 faced dice then there is a 3/6 numbers greater than 3. which simplifies to 1/2. 30(1/2)= 15
Find the x-intercept of the line whose equation is 8x + 2y = 4.
Answer: Hope this helps you
1/2
Step-by-step explanation:
To find the x-int of any equation, you will need to replace the y with a 0 since when the x-int is when y is 0.
8x+2y = 4 ➨ 8x+2*0 = 4
Now I will do 2*0 which anything times 0 is equal to 0. And we are left with the equation of:
8x = 4
Now I will divide both sides by 8, which isolates our x.
x = 1/2
The x-int is 1/2.
Find the perimeter of this
Tringle
8 cm
7 cm
5 cm
answer is
A. 35 cm
B. 40 cm
C. 20 cm
D. 12.5 cm
Answer:
C) 20cm
Step-by-step explanation:
Perimeter is the distance around the edge of the shape.
8 + 7 + 5 = 20
Answer:
20 is answer
Step-by-step explanation:
as perimeter= sum of all side
= 8 +7+5=2ocm
What is the length of BC¯¯¯¯¯?
Answer:
meight you gotta do better then that
Step-by-step explanation:
a picture is probably necessary
What is the y - cordanate of the point that divides the directed line segment from j to k into a ratio of 2:3
The coordinate of point P that divides the line segment into 2 parts and 3 parts is (-5,5).
Let's call the point that divides the line segment point P.
Point P divides the line segment into a ratio of 2:3
What is the ratio of 2:3?The ratio of 2:3 means we are dividing the line segment into 2+3=5 equal parts.
The horizontal distance between the two coordinates is 5.
The vertical distance between the two coordinates is 10.
Dividing both vertical and horizontal distance into five equal parts, we have a horizontal distance of 1 and a vertical distance of 2.
Every time we move one unit to the left from point J and two units up, we are dividing the line segment into five equal parts as shown in the picture.
The coordinate of point P that divides the line segment into 2 parts and 3 parts is (-5,5).
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Which expression is equivalent to...
Answer: the fourth one
Step-by-step explanation:
Answer:
D.) 8x¹²y³
Step-by-step explanation:
When an expression is raised to a power, you have to raise everything in the expression to the power when simplifying. This includes the coefficients and variables. When a variable already raised to a power is raised to another power, the powers are multiplied.
Therefore,
2³ = 8
(x⁴)³ = x⁴*³ = x¹²
(y)³ = y³
Combined, the final answer is 8x¹²y³.
Mary is going to roll a six-sided die. What is the probability that the die lands on the number 3? Input your answer in fraction form
Answer:
added in the picture
Step-by-step explanation:
added in the picture
A graph titled Janelle's Trip Home. The horizontal axis shows time (minutes) and the vertical axis shows distance from her home (miles). The line shows a decrease as time increases, a constant as time increases, and then another decrease as time continues.
Based on the graph, which statement could describe Janelle’s trip home from school?
Janelle waited for the bus, rode the bus, and then walked home.
Janelle walked the opposite direction from home to the library, rode the bus, and then walked to a friend’s house.
Janelle walked home at a constant speed.
Janelle rode the bus to the bus stop, talked with a friend, and then walked home.
Janelle rode the bus to the bus stop, talked with a friend, and then walked home , Option D is the correct answer.
The missing graph is attached with the answer.
What is a Time -Distance Graph ?A graph which shows change in distance with respect to time is called Time- Distance Graph.
It is used to calculate velocity.
As in the graph we it can be seen that , The distance is decreasing at a constant speed ,
then the distance becomes constant with time
and then again decreases but with a lower rate
This means
Janelle rode the bus to the bus stop (distance to time rate is high)
talked with a friend (distance is constant with time)
and then walked home. (distance to time rate is low)
Therefore Option D is the correct answer.
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Answer:
Janelle rode the bus to the bus stop, talked with a friend, and then walked home.
Step-by-step explanation:
Suppose you are standing in a parking lot near a building, and the winter air temperature is 0 degrees Celsius. At that temperature, sound travels about 331 meters per second. If you sound a horn and it takes 0.7 seconds to hear the echo, how far away is the building?
The building is 231.7 m far away.Distance can refer to a physical length or an estimate based on other factors in physics or common use.
What is distance?Distance is a numerical representation of the space between two objects or locations. |AB| is a symbol for the distance between two points A and B.
Given data;
Speed of sound = 331 meters per second
Time = 0.7 sec
The distance from the building is;
d=v×t
d=331 m/sec × 0.7 sec
d=231.7 m
Hence the building is 231.7 m far away.
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if 50 grams of sweets cost 250 rupees find the cost of 380 grams of sweets.
Tina's application for graduate school was ranked 54 out of 300 applications. Her twin sister's application to a
different graduate school was ranked 23 out of 175 applications.
a. Which sister had the higher percentile ranking?
b. If you had the data on the cumulative GPA of each student in each school in June 2019, which measure of
average would be the most meaningful - mean, median, mode? Explain
A percentage is a way to describe a part of a whole. The percentile ranking of Tina's sister is higher than her.
What are Percentages?A percentage is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25 which is equal to 25%.
To convert a fraction to a percentage, convert the fraction to decimal form and then multiply by 100 with the '%' symbol.
A.)
The percentile ranking of Tine is,
Tina's Ranking = [1 - (54/300)] × 100% = 82%
Tina's soster Ranking = [1 - (23/175)] × 100% = 86.85%
Hence, the percentile ranking of Tina's sister is higher than her.
B.) It shows that you can succeed in the graduate examination if you exceed this value.
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I need to know the answer
Answer: [tex]f(x)=-(x-5)^{2}(x+2)[/tex]
Step-by-step explanation:
There is a double root at x=5 and a single root at x=-2, so we know f(x) is of the form [tex]f(x)=a(x-5)^{2}(x+2)[/tex] for some constant a.
To find a, we can substitute the coordinates of the y-intercept, (0, -50).
[tex]-50=a(0-5)^{2}(0+2)\\\\-50=50a\\\\a=-1[/tex]
So, [tex]f(x)=-(x-5)^{2}(x+2)[/tex]
Please help! Solve the equation on the interval [0,2pi)
Answer:
[tex]\frac{5pi}{6}[/tex]
Step-by-step explanation:
Answer:
[tex]x = \dfrac{\pi}{6}, \dfrac{5 \pi}{6}[/tex]
Step-by-step explanation:
[tex]\begin{aligned}3 \sin x & = \sin x + 1\\\implies 3 \sin x - \sin x & = 1\\2 \sin x & = 1\\\sin x & = \dfrac{1}{2}\\\implies x & = \sin^{-1}\left(\dfrac{1}{2}\right)\\x & = \dfrac{\pi}{6} \pm 2 \pi n, \dfrac{5 \pi}{6}\pm 2 \pi n\end{aligned}[/tex]
Therefore, the value of x in the interval [0, 2π) is:
[tex]x = \dfrac{\pi}{6}, \dfrac{\boxed{5} \pi}{\boxed{6}}[/tex]
How do I find the domain and range in this graph?
Answer:
Domain: [tex]-4 < x \leq 4[/tex]Range: [tex]0 \leq y \leq 4[/tex]Step-by-step explanation:
The domain is the set of x values, and the range is the set of y values.
Which statement is true of the function f(x) = Negative RootIndex 3 StartRoot x EndRoot? Select three options.
The function is always increasing.
The function has a domain of all real numbers.
The function has a range of {y|–Infinity < y < Infinity}.
The function is a reflection of y = .
The function passes through the point (3, –27).
the correct options are:
The function has a domain of all real numbers.The function has a range of {y|–Infinity < y < Infinity} (this is the same as saying that the range is the set of all real numbers.Which statements are true about the function?
Here we have the function:
[tex]F(x) = -\sqrt[3]{x}[/tex]
First, this is a cubic root, so its domain is the set of all real numbers (same for the range). And we know that the cubic root is an increasing function, so if we put a negative sign before it, we will have a decreasing function.
Then the correct options are:
The function has a domain of all real numbers.The function has a range of {y|–Infinity < y < Infinity} (this is the same as saying that the range is the set of all real numbers.The fourth option is incomplete, so we can't conclude if it is true or not, it would be true if it said:
"The function is a reflection over the x-axis of y = ∛x"
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Answer:
b, c, d
Step-by-step explanation:
Solve the following system of equations. -7x+5y=-11; -4x+3y= -7
Answer:
X = (-2) Y = (-5)- 7x + 5y= (-11) -------(1)
-4x + 3y,= (-7) ----------(2)
Solving by using elimination methodMultiplying eq 1 with 3 and eq 2 with 5
3( -7x + 5y) = 3(-11)
5(- 4x + 3y) = 5(-7)
-21x + 15y = (-33)
-20x + 15y,= (-35)
Subtracting both the eq.
-x = 2
x = (-2)
Putting this value in eq. 1
- 7x + 5y= (-11)
-7(-2)+ 5y= (-11)
14 + 5y = (-11)
5y = (-11) - 14
5y= (-25)
y = (-5)
What are the roots of x In-10x2 + 12x-9=0? OA. 61√6 -1 10 31√6 10 OB. O C. 31√24 10131/24 OD. ti√24 OE. 1, 2:√6 51 10 What are the roots of x In - 10x2 + 12x - 9 = 0 ? OA . 61√6 -1 10 31√6 10 OB . O C. 31√24 10131/24 OD . ti√24 OE . 1 , 2 : √6 51 10
Answer:
9=0
Step-by-step explanation:
9=0
The roots of x in the equation -10x² + 12x - 9 = 0 are:
x = (3/5) + (3/5)√(6)i
x = (3/5) - (3/5)√(6)i
What is a quadratic equation?For variable x : ax² + bx + c = 0, where a≠0 is a standard quadratic equation, which is a second-order polynomial equation in a single variable. It has at least one solution since it is a second-order polynomial equation, which is guaranteed by the algebraic basic theorem.
To find the roots of x in the equation -10x² + 12x - 9 = 0, we can use the quadratic formula:
x = (-b ± √(b² - 4ac)) / 2a
where a, b, and c are the coefficients of the quadratic equation in standard form (ax² + bx + c).
In this case, a = -10, b = 12, and c = -9. Substituting these values into the quadratic formula, we get:
x = (-12 ± √(12² - 4(-10)(-9))) / 2(-10)
x = (-12 ± √(144 - 360)) / (-20)
x = (-12 ± √(-216)) / (-20)
Substituting this into the expression for x, we get:
x = (-12 ± 6√(6)i) / (-20)
Simplifying the expression further, we get:
x = (3/5) ± (3/5)√(6)i
Therefore, the roots of x in the equation -10x² + 12x - 9 = 0 are:
x = (3/5) + (3/5)√(6)i
x = (3/5) - (3/5)√(6)i
These roots are complex conjugates of each other.
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In the year 2000, a house was valued at $60 000.
In 2010, the same house was valued at $80 000.
Work out the value of the house in 2010 as a percentage of it value in 2000
The percentage by which the cost is increasing will be 75%.
What is the percentage?The quantity of anything is stated as though it were a fraction of a hundred. A fraction of 100 can be used to express the ratio.
The percentage of the 8th graders who want to go to the water slides is found from;
In the year 2000, a house was valued at $60 000.
In 2010, the same house was valued at $80 000.
The percentage value is found as;
[tex]\% = \frac{60000}{80000} \times 100 \\\\ \% =75 \%[/tex]
Hence the percentage by which the cost is increasing will be 75%.
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Find the area.
O 121.12 ft²
O 53.1 ft²
O 152.3 ft²
O212 ft²
7 ft
8 ft
The area of the geometry will be 53.1 square feet. Then the correct option is B.
What is Geometry?It deals with the size of geometry, region, and density of the different forms both 2D and 3D.
The figure is the combination of the triangle and semicircle.
Then the area will be
Area = area of triangle + area of semicircle
Area of triangle = 1/2 x 8 x 7
Area of triangle = 28 square ft
Area of semicircle = (π / 8) x 8²
Area of semicircle = 25.13 square ft
Then the area of the geometry will be
Area = 28 + 25.13
Area = 53.1 square feet
Then the correct option is B.
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Find an equation for the line that passes through the points (-6, -6) and (4,-2)
Answer:
y = 2/5 x - 18/5
Step-by-step explanation:
y = mx + b
m = (y2 - y1)/(x2 - x1) = [-2 - (-6)]/[4 - (-6)] = 4/10 = 2/5
y = 2/5 x + b
-6 = (2/5)(-6) + b
-30 = -12 + 5b
5b = -18
b = -18/5
y = 2/5 x - 18/5
Group of 5 people can do a piece of work in 6hrs- Calculate the time a group of 8 people working half the rate of first group could take
The time taken by a group of 8 people working half the rate of the first group is 7.5 hours.
What is a fraction?Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.
We have:
A Group of 5 people can do a piece of work in 6hrs.
5 people, at a rate of 1, and the time taken is 6 hours
Work done is 30
8 people, at a rate of 1/2, and the time taken is x hours
8(1/2)x = 30
x = 60/8 = 7.5 hours
Thus, the time taken by a group of 8 people working half the rate of the first group is 7.5 hours.
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How to 24-[5408÷48{×41+701]-240}-240÷16
do in oder of pemdas....
Lila wants to represent the following statement: seven times some number plus thirteen. How can she write this as an expression?
Answer: 7x+13
Step-by-step explanation:
7 is being multiplied by some number (x) and then the answer to that is added to 13.
