Help me Assap step by step
Answer: F) 7 mph
Step-by-step explanation:
The line you drew is correct but you read the graph wrong.
The line drawn from 15 hours of training (bottom axis) meets the "line of best fit" at the average running speed (left axis) between 6 and 8, which is 7.
F(x)= x+5
———
X3+27
Find the horizontal asymptote....
Answer: [tex]y=0[/tex]
Step-by-step explanation:
The given function is a rational function:
To solve the given problem you must keep on mind that:
- An asymptote is define as a line that the graph of the function approaches but never touches.
- In rational functions, if the degree of the polynomial in the numerator is lower than the degree of the polynomial in the denominator, then the horizontal asymptote is located at y=0.
In the given function, the degree of the polynomial in the numerator (which is 1) is lower than the degree of the polynomial in the denominator (whic h is 2). Therefore, the horizontal asymptote is located at [tex]y=0[/tex]
Which of the following functions has a graph that is a line? f(x) = x f(x) = x2 f(x) = |x|
Answer:f(x)=x
Step-by-step explanation:
A rectangular prism has a length of 9in., a width of 4in., and a height of 1 1/2in. The prism is filled with cubes that have edge lengths of 1/2. How many cubes are needed to fill the rectangular prism?
I NEED HELP ASAP!!
To fill a rectangular prism with dimensions 9in. by 4in. by 1.5in. using half-inch cubes, you need to divide the volume of the prism (54in.^3) by the volume of a cube (0.125in.^3), resulting in 432 cubes needed.
Explanation:To determine how many half-inch cubes are needed to fill the rectangular prism, we must first calculate the volume of the prism and then the volume of a single cube. Next, we divide the volume of the prism by the volume of a cube to find the number of cubes needed.
Calculating the Volume of the Rectangular Prism
The volume of a rectangular prism is found by multiplying its length by its width by its height. Volume of the prism = length × width × height = 9in. × 4in. × 1.5in. = 54in.3.
Calculating the Volume of a Cube
The volume of a cube is found by raising the length of an edge to the third power. Volume of a cube = edge length3 = (0.5in.)3 = 0.125in.3.
Number of Cubes Needed
To find the number of cubes needed to fill the prism, divide the volume of the prism by the volume of a cube. Number of cubes needed = Volume of the prism / Volume of a cube = 54in.3 / 0.125in.3 = 432.
Therefore, 432 half-inch cubes are needed to fill the rectangular prism.
may I get some help?
12. Answer: $9.50
Step-by-step explanation:
4 tickets plus 1 popcorn equals 44.25
4t + 1(6.25) = 44.25
4t + 6.25 = 44.25
- 6.25 -6.25 Subtraction Property of Equality
4t = 38.00
÷4 ÷4 Division Property of Equality
t = 9.50
13. Answer:
Step-by-step explanation:
4.9x - 1.9 = 27.5
+1.9 +1.9 Addition Property of Equality
4.9x = 29.4
÷4.9 ÷4.9 Division Property of Equality
x = 6
GgAnswer:
Step-by-step explanation:
gg
write the equation of the line that passes through the given points expressed in slope-intercept form. m=2/3, (-4,5)
Answer:
[tex]y = \frac{2}{3}x + \frac{23}{3}[/tex]
Step-by-step explanation:
To write the equation of a line with a point and a slope, use the point-slope form of a linear equation. Substitute m = 2/3 and the point (-4,5) into the equation.
[tex]y - y_1 = m(x-x_1)\\y - 5 = \frac{2}{3}(x --4)\\y - 5 = \frac{2}{3}(x+4)[/tex]
Convert to slope intercept form by using the distributive property.
[tex]y - 5 = \frac{2}{3}(x+4)\\y - 5 = \frac{2}{3}x +\frac{8}{3}\\y = \frac{2}{3}x + \frac{8}{3} + 5\\y = \frac{2}{3}x + \frac{23}{3}[/tex]
f(x) = x2 − 8x 15 g(x) = x − 3 h(x) = f(x) ÷g(x) h(x) = . The domain of h(x) is U
Answer:
h(x) = x - 5
set of all integers except 3
-∞ ≤ x ≤ ∞ and x ≠ 3
Step-by-step explanation:
Given the two equations in the question
Equation 1
f(x) = x² − 8x + 15
Equation 2
g(x) = x − 3
To find equation 3 that is h(x) we need to divide f(x) by g(x)
f(x) / g(x)
x² − 8x + 15 / x − 3
By using quadratic factorisation
(x-3)(x-5) / (x-3)
Cancel (x-3) from both numerator and denominator
h(x) = x-5
The domain of h(x)set of all integers except 3
-∞ ≤ x ≤ ∞ and x≠3
Answer:
first blank is x-5
second blank is -infinity, 3
third blank is 3, infinity
Which of the following measurements could be the side lengths of a right triangle? A. 54 in, 72 in, 108 in B. 54 in, 81 in, 90 in C. 45 in, 72 in, 90 in D. 54 in, 72 in, 90 in
To determine if a set of measurements could be the side lengths of a right triangle, we need to check if the Pythagorean theorem holds true. Option D, with side lengths 54 in, 72 in, and 90 in, satisfies the theorem and represents a right triangle.
Explanation:In a right triangle, the square of the length of the hypotenuse (the longest side) is equal to the sum of the squares of the lengths of the other two sides. This is known as the Pythagorean theorem: a^2 + b^2 = c^2.
So, to determine if a set of measurements could be the side lengths of a right triangle, we need to check if the Pythagorean theorem holds true. Let's check each option:
Option A: (54)^2 + (72)^2 = 2916 + 5184 = 8100. However, the measurement for the third side (108) does not satisfy the theorem, so this is not a right triangle.Option B: (54)^2 + (81)^2 = 2916 + 6561 = 9477. This also does not satisfy the theorem, so this is not a right triangle.Option C: (45)^2 + (72)^2 = 2025 + 5184 = 7209. Again, this does not satisfy the theorem, so this is not a right triangle.Option D: (54)^2 + (72)^2 = 2916 + 5184 = 8100. This time, the measurement for the third side satisfies the theorem (90), so this is a right triangle.Therefore, the correct answer is option D: 54 in, 72 in, 90 in.
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which point lies on a circle with a radius of 5 units and center at P(6,1)?
a. Q(1, 11)
b. R(2, 4)
c. S(4, -4)
d. T(9, -2)
Answer:
Option B. [tex]R(2,4)[/tex]
Step-by-step explanation:
we know that
If a ordered pair lie on the circle. then the ordered pair must satisfy the equation of the circle
step 1
Find the equation of the circle
we know that
The equation of the circle in center radius form is equal to
[tex](x-h)^{2}+(y-k)^{2}=r^{2}[/tex]
where
r is the radius of the circle
(h,k) is the center of the circle
substitute the values
[tex](x-6)^{2}+(y-1)^{2}=5^{2}[/tex]
[tex](x-6)^{2}+(y-1)^{2}=25[/tex]
step 2
Verify each case
case A) [tex]Q(1, 11)[/tex]
substitute the value of [tex]x=1, y=11[/tex] in the equation of the circle and then compare the results
[tex](1-6)^{2}+(11-1)^{2}=25[/tex]
[tex]25+100=25[/tex] ------> is not true
therefore
the ordered pair Q not lie on the circle
case B) [tex]R(2,4)[/tex]
substitute the value of [tex]x=2, y=4[/tex] in the equation of the circle and then compare the results
[tex](2-6)^{2}+(4-1)^{2}=25[/tex]
[tex]16+9=25[/tex] ------> is true
therefore
the ordered pair R lie on the circle
case C) [tex]S(4,-4)[/tex]
substitute the value of [tex]x=4, y=-4[/tex] in the equation of the circle and then compare the results
[tex](4-6)^{2}+(-4-1)^{2}=25[/tex]
[tex]4+25=25[/tex] ------> is not true
therefore
the ordered pair S not lie on the circle
case D) [tex]T(9,-2)[/tex]
substitute the value of [tex]x=4, y=-4[/tex] in the equation of the circle and then compare the results
[tex](9-6)^{2}+(-2-1)^{2}=25[/tex]
[tex]9+9=25[/tex] ------> is not true
therefore
the ordered pair T not lie on the circle
Plz help me !!!!!!!!!
Answer: [tex]\bold{x^{\frac{1}{3}}y^{\frac{1}{2}}}[/tex]
Step-by-step explanation:
[tex]\sqrt[6]{x^2y^3} =x^{\frac{2}{6}}y^{\frac{3}{6}}=x^{\frac{1}{3}}y^{\frac{1}{2}}[/tex]
What is the value of x? Enter your answer as a decimal to the nearest tenth in the box. ft Right triangle A B C with right angle at angle B. Angle A is 36 degrees. A B is 15 feet. B C is labeled x.
Answer:
x = 10.9
Step-by-step explanation:
Since the triangle is right, use the tangent ratio to find the value of x
tan36° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{BC}{AB}[/tex] = [tex]\frac{x}{15}[/tex]
Multiply both sides by 15
15 × tan36° = x
⇒ x = 10.9 ( to nearest tenth )
Answer:
What is the value of x?
Enter your answer as a decimal to the nearest tenth in the box.
10.9 ft
1.The temperature was 80∘F and then fell 20∘F. 2.The temperature was -13∘F and then rose 9∘F. 3.The temperature was -5∘F and then fell 8∘F.
Answer:
The initial temperature is 80 °F.
The final termperature is 20°F.
During this period, fell 60 °F which represents a percentage of
[tex]\frac{60}{80} \times 100= 75\%[/tex]
We repeat the process for the rest.
From -13 °F to 9 °F, the temperature arose 22 °F, which is equivalent to
[tex]\frac{22}{13} \times 100= 169.23 \%[/tex]
From -5 °F to 8 °F, the temperature fell 13 °F, which is equivalent to
[tex]\frac{13}{5} \times 100= 260 \%[/tex]
A polygon has the following coordinates: A(-5,5), B(2,5), C(-5,-2). Find the length of AB.
A.
5 units
B.
7 units
C.
6 units
D.
4 units
Answer:
7
Step-by-step explanation:
Since these two points are straight left and right from each other it's really easy. Think of it as just moving so many spaces left or right on the x axis. We are moving from point (-5,5) along the line y=5 to the point (2,5), which is moving 7 units.
car rentals invert a 130 flat fee in additional cost of 31.67 a day what is the maximum number of days you can rent a car if you have a $500 budget
Answer:
11 days
Step-by-step explanation:
Joanie is organizing her closet. She has 3 times as many black shirts as gray shirts, plus 3 new black shirts she just bought. She has 5 times as many white shirts as gray shirts, minus the 1 white shirt she donated. Joanie has 2 times more gray shirts than brown shirts. If she has the same number of black and white shirts, how many gray shirts does Joanie have?
A. 2
B. 1
C. 4
Answer:
Option A. 2
Step-by-step explanation:
To solve this problem we can write equations for each shirt color.
Let's call:
b = black shirts
g = gray shirts
w = white shirts
B = brown shirts
If you have 3 times more black shirts than gray shirts and buy 3 more black shirts then:
[tex]b = 3g +3[/tex] (i)
If you have 5 times more white shirts than gray shirts and gave a white shirt then:
[tex]w = 5g -1[/tex] (ii)
It has 2 times more gray shirts than brown camsas, then:
[tex]g = 2B[/tex] (iii)
It has the same amount of black and white shirts
[tex]b = w[/tex] (iv)
We want to find the number of gray shirts.
Then replace (iv) in (ii)
[tex]b = 5g -1[/tex] (v)
Now substitute (v) into (i) and clear g.
[tex]5g -1 = 3g +3\\\\5g -3g = 3 +1\\\\2g = 4\\\\g = 2[/tex]
Joan has 2 gray shirts
Joanie has 2 gray shirts, option A.
To determine the number of gray shirts Joanie has, we'll set up and solve a system of equations. Let G represent the number of gray shirts and let B, W, and R represent the number of black, white, and brown shirts, respectively.
Given the information:
Joanie has 3 times as many black shirts as gray shirts plus 3 new black shirts: B = 3G + 3.She has 5 times as many white shirts as gray shirts minus 1 white shirt: W = 5G - 1.Joanie has 2 times more gray shirts than brown shirts: G = 2R.She has the same number of black shirts as white shirts: B = W.1. Set the equations for black and white shirts equal:
3G + 3 = 5G - 1
2. Simplify and solve for G:
3 + 1 = 5G - 3G
4 = 2G
G = 2
Thus, Joanie has 2 gray shirts.
Is it possible for two numbers to have a difference of 6, and also a sum of 6?
Answer:
The only possible numbers are 6 and 0.
Step-by-step explanation:
We are given the following information in the question:
Let x and y be the two numbers whose difference is 6 and whose sum is also 6.
We can write it in the form of the equation:
[tex]x - y = 6\\x+y =6\\\\\text{Adding the two equations}\\(x-y) + (x+y) = 12\\2x =12\\x = 6\\\\\text{Putting this value of x in one of the equations}\\6 + y = 6\\y = 0[/tex]
Hence, the only possible numbers are 6 and 0.
It is possible as the numbers are 0 and 6.
Let the numbers be a and b.
Based on the question, the equation to solve the question will be:
a - b = 6 ........ i
a + b = 6 ........ ii
From equation i, a = 6 + b
Put the above into equation ii
a + b = 6
(6 + b) + b = 6
6 + 2b = 6
2b = 6 - 6.
2b = 0
b = 0/2
b = 0
Therefore, the value of a will be:
a = 6-0 = 6.
The numbers are 0 and 6.
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y=3(8/9)x find y intercept
Answer:
y-intercept: 3Step-by-step explanation:
y-intercept is for x = 0. Substitute x = 0 to the equation of a function
[tex]y=3\left(\dfrac{8}{9}\right)^x[/tex]
[tex]y=3\left(\dfrac{8}{9}\right)^0=3(1)=3[/tex]
What is the value of x?
Answer: [tex]x=2[/tex]
Step-by-step explanation:
To solve this exercise you must apply the Intersecting secan theorem.
Then, according to this theorem, you can know that:
[tex]EC*ED=EB*EA[/tex]
Therefore, you must substitute the values shown in the figure attached, as following:
[tex](x+4)(x+4+1)=(x+1)(x+1+11)[/tex]
Now you can solve for x, as you can see below:
[tex](x+4)(x+4+1)=(x+1)(x+1+11)\\\\(x+4)(x+5)=(x+1)(x+12)\\\\\\x^2+5x+4x+20=x^2+12x+x+12\\\\x^2+9x+20=x^2+13x+12\\x^2-x^2+9x-13x=12-20\\-4x=-8\\x=2[/tex]
if y varies directly with x, find the constant variation with x= 4 and y= -26
The constant variation is k=-13/2
Answer:
k = - 6.5
Step-by-step explanation:
Given that y varies directly with x then the equation relating them is
y = kx ← k is the constant of variation
To find k use the condition x = 4 when y = - 26, hence
k = [tex]\frac{y}{x}[/tex] = [tex]\frac{-26}{4}[/tex] = - [tex]\frac{13}{2}[/tex] = - 6.5
8. What’s the answer to this question!
the answer is going to be C
circumference = pi times the diameter , so i used 3.14 as pi and used the values in the answer choices to determine the diameter
12 is the closest because 12 times 3.14 is 37.68 which is very close to 37.5
pls mark brainliest
Help please urgent!
Use the GCF of 10 and 15 to cross-cancel and reduce and solve [tex]\frac{5}{15}x\frac{5}{10}[/tex]
Answer:
5
Step-by-step explanation:
Final answer:
Using the GCF of 10 and 15, which is 5, we cross-cancel the fractions 5/15 and 5/10 to reduce them to 1/3 and 1/2 respectively. Multiplying these reduced fractions, we obtain the final answer of 1/6.
Explanation:
To solve the fraction 5/15 × 5/10, we first identify the Greatest Common Factor (GCF) of the numerators and denominators. The GCF of 10 and 15 is 5. Using this GCF, we cross-cancel to reduce the fractions before multiplying.
Firstly, we divide both 10 and 15 by the GCF, which gives us:
10 ÷ 5 = 2
15 ÷ 5 = 3
Applying cross-cancellation to the original expression, we get:
(5 ÷ 5) / (15 ÷ 5) × (5 ÷ 5) / (10 ÷ 5)
1/3 × 1/2
Multiplying these reduced fractions gives us:
1/3 × 1/2 = 1/6
Thus, the result of multiplying 5/15 by 5/10, after cross-cancelling the common factors, is 1/6.
It would take 120 minutes to fill a swimming pool using water from 5 taps. How many minutes will it take to fill the pool if only 3 taps are used?
Final answer:
It will take 72 minutes to fill the pool using only 3 taps.
Explanation:
To find out how many minutes it will take to fill the pool using only 3 taps, we can set up a proportion.
If it takes 120 minutes to fill the pool using 5 taps, then the rate at which water flows from the taps is 1 pool/120 minutes/tap.
Using this rate, we can set up the proportion:
5 taps / 3 taps = 120 minutes / x minutes
Cross-multiplying and solving for x gives us:
x = (3 taps * 120 minutes) / 5 taps = 72 minutes
So, it will take 72 minutes to fill the pool using only 3 taps.
determine the value of x?
Answer:
see explanation
Step-by-step explanation:
Using the rule of exponents
[tex]a^{m}[/tex] ÷ [tex]a^{n}[/tex] = [tex]a^{(m-n)}[/tex], then
[tex]a^{x^2-5x}[/tex] = [tex]a^{6}[/tex], hence
x² - 5x = 6 ( subtract 6 from both sides )
x² - 5x - 6 = 0 ← in standard form
(x - 6)(x + 1) = 0 ← in factored form
Equate each factor to zero and solve for x
x - 6 = 0 ⇒ x = 6
x + 1 = 0 ⇒ x = - 1
Answer:
x=6, -1Step-by-step explanation:
Using the rule of exponents:
a^{m} ÷ a^{n} = a^{(m-n)} , then
aˣ² ÷ a^{5x} = a⁶
⇒ a^{x^2 - 5x} = a⁶
⇒ x² - 5x = 6
x² - 5x - 6 = 0
(x - 6)(x + 1) = 0 [middle term splitting]
Equate each factor to zero and solve for x
x - 6 = 0 ⇒ x = 6 ║ x + 1 = 0 ⇒ x = -1
Find the Volume 14cm 8cm 10 cm 10cm 10cm 8 cm
1120cm^3+800cm^3
ans
=1920cm^3
Answer:
Volume of the cuboid = 1120cm³
Step-by-step explanation:
The question is incomplete and incorrect. Here is the complete and correct question.
"Find the volume of cuboid measuring 14cm, 10 cm and 8cm"
The volume of a cuboid = Length × breadth × Height.
Given Length = 14cm
Breadth = 10cm
Height = 8cm
Volume of the cuboid = 14cm × 10cm × 8cm
Volume of the cuboid = 1120cm³
In the diagram below O id circumscribed about quadrilateral ABCD. What is the value of x?
Answer:
x = 21Explanation:
x = [tex]\frac{105}{5}[/tex] = 21 degree will be the answer.
{The sum of angle of opposite circumscribed quadrilateral in circle is 180°}
Answer:
In a cyclic Quadrilateral , sum of opposite pair of interior angles are Supplementary.
So, ∠A + ∠C=180°
And, ∠B + ∠D=180°
We have to find the value of x.
So, we will use the equation
∠B + ∠D=180°
→5 x +75° =180°
5 x= 180° - 75°
5 x= 105°
Dividing both side by , 5 we get
x=21°
Option C
Which of the following sets of side lengths would not form a triangle?
A. 29, 39, 69
B. 29, 38, 49
C. 29, 41, 19
D. 29, 37, 10
The answer is A.
29 + 39 < 69.
Ian graphs these equations and find that the lines intersect at a single point, (-2,-0.5).
Answer:
A. They are the only values that make both equations true.
Step-by-step explanation:
Equation A: 4y-3x=4
Equarion B: -2x-8y=8
Put x=-2, y=-0.5 in those two equations.
Equation A: 4(-0.5)-3(-2)=4
-2+6=4
4=4
Equation B: -2(-2)-8(-0.5)=8
4+4=8
8=8
So it's not B and C.
For D, you can tell that they are didferent lines by put them in to F(x)=kx+b format, and it tell you it's not D.
Answer:A
Step-by-step explanation:A P E X
What is the circumference of a circle is 22 pi yards. Find the radius of the circle in terms of pi
What is the answer
Answer:
r=C
2π
Step-by-step explanation:
HELP!!!
Evaluate -[-(-4)]
A) -4
B) 0
C) 1
D) 4
Hey there!
Answer:
A. -4
Explanation:
All you do is evaluate:
[tex]-(-(-4))\\= -4[/tex]
= A. -4
Therefore, that is how you got your answer.
Hope this Helps!
Answer:
A. -4
Explanation:
All you do is evaluate:
= A. -4
Therefore, that is how you got your answer.
Hope this Helps
There are 8 friends who are going to have a water fight with two bags of 150 water balloons. Which of the following best describes how many water balloons each person will get if they divide the water balloons as evenly as possible?
Each friend will get 37 water balloons, with 4 remaining.
Explanation:To divide the 300 water balloons evenly among the 8 friends, we can use division. We divide 300 by 8 to find out how many water balloons each person will get. The quotient is 37 with a remainder of 4. So, each friend will get 37 water balloons, and there will be 4 remaining balloons.
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