1 hour 55 minutes
break the time down into hours and minutes
7 : 10 → 8 : 00 = 50 minutes
8 : 00 → 9 : 00 = 1 hour
9 : 00 → 9 : 05 = 5 minutes
adding 1 hour + 50 minutes + 5 minutes = 1 hour 55 minutes
The movie lasted for a total of 115 minutes, which is calculated by adding the one hour between 7:10 and 8:10 to the additional 55 minutes between 8:10 and 9:05.
To calculate the duration of a movie that starts at 7:10 and ends at 9:05, you would subtract the start time from the end time. Starting at 7:10 and going up to 8:10 is one hour. From 8:10 to 9:05 is an additional 55 minutes. Therefore, adding these two parts together, the movie lasted for 1 hour plus 55 minutes, which is a total of 115 minutes.
Step-by-step, the calculation is as follows:
Calculate elapsed time from 7:10 to 8:10 (1 hour).Add the additional minutes from 8:10 to 9:05 (55 minutes).Combine both to find the total duration (1 hour + 55 minutes = 115 minutes).
if s-t=5, what is the value of 3s -3t + 3 ?
Answer:
Step-by-step explanation:
s=5?
t=5?
3(5) - 3(5) +3
(15) -15 = 0
0 + 3 = 3
The value of 3s - 3t + 3 given that s - t = 5 is 18.
Explanation:
In this problem, we are given that s - t = 5. Now we have to find the value of 3s - 3t + 3. What we can do is factor out the '3' from 3s - 3t, then we can see it as 3(s - t) + 3. Our equation becomes 3 * 5 + 3 which simplifies to 15 + 3, and then 18.
So, the value of 3s - 3t + 3 given that s - t = 5 is 18.
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How many batches of muffins can you make from a 4lb bag of sugar if a batch takes 3/4 cup
What is the midpoint of the segment shown below?
A(5,1)
B(5,1/2)
C(10,1)
D(10,1/2)
Answer: The correct option is (B) [tex]\left(5,\dfrac{1}{2}\right).[/tex]
Step-by-step explanation: We are given to find the midpoint of the line segment shown in the figure.
From the figure, we see
a line segment with co-ordinates of the endpoints (5, 4) and (5, -3).
We know that
the co-ordinates of the midpoint of a line segment with endpoints (a, b) and (c, d) is given by
[tex]M=\left(\dfrac{a+c}{2},\dfrac{b+d}{2}\right).[/tex]
Therefore, the co-ordinates of the line segment shown is given by
[tex]M=\left(\dfrac{a+c}{2},\dfrac{b+d}{2}\right)=\left(\dfrac{5+5}{2},\dfrac{4-3}{2}\right)=\left(5,\dfrac{1}{2}\right).[/tex]
Thus, (B) is the correct option.
Translate and solve: 344% of what number is 34,400 ?
To find the number, divide 34,400 by 344%
Explanation:To solve this problem, we need to translate the phrase into an equation and solve for the unknown number.
The phrase "344% of what number is 34,400" can be translated as 344% * x = 34,400.
To solve for x, we divide 34,400 by 344% or 3.44.
Therefore, the number is 10,000.
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To find the number, divide 34,400 by 344% (or 3.44), resulting in the number 10,000.
To solve this problem, we need to find what number 344% of is equal to 34,400. Here's how we can do it step by step:
Step 1:
Translate the problem into a mathematical equation.
Let's denote the unknown number as [tex]\( x \)[/tex]. The problem translates to:
[tex]\[ 344\% \text{ of } x = 34,400 \][/tex]
Step 2:
Rewrite the percentage as a decimal.
[tex]\[ 344\% = \frac{344}{100} = 3.44 \][/tex]
Step 3:
Write the equation using the decimal form of the percentage.
[tex]\[ 3.44 \times x = 34,400 \][/tex]
Step 4:
Solve for [tex]\( x \).[/tex]
[tex]\[ x = \frac{34,400}{3.44} \][/tex]
Step 5:
Perform the division.
[tex]\[ x = 10,000 \][/tex]
So, 344% of 10,000 is 34,400. Thus, the unknown number is 10,000.
WILL GIVE 50 POINTS OR AS MANY AS YOU NEED BUT HELP ASAP WITH A FEW QUESTIONS:
5
1. What is ∑4n equal to? (will show the actual one in images)
n=1
2.What is (f−g)(x)?
f(x)=x4−3x2+5x−7
g(x)=x3−3x2+3x−1
Enter your answer, in standard form, in the box.
(f−g)(x)=
3. What is (f⋅g)(x)?
f(x)=x2−5x+4
g(x)=x3−1
Enter your answer, in standard form, in the box.
(f⋅g)(x)=
4. Let f(x)=x2−9 and g(x)=x2−7x+12 .
What is (fg)(x) ?
x−4x+3 where x≠−3,4
x−4x+3 where x≠−3,3
x+4x−3 where x≠−3,3
x+3x−4 where x≠3,4
5. What is the recursive rule for the sequence?
4.4, 5.8, 7.2, 8.6, 10, …
an=an−1−1.4 , where a1=4.4
an=an+1+1.4 , where a1=4.4
an=an+1−1.4 , where a1=4.4
an=an−1+1.4 , where a1=4.4
6. Enter the explicit rule for the geometric sequence.
3/2, 3/4, 3/8, 3/16, 3/32, …
an=
Answers
1. 1,364
2. x⁴ + 2x - 6
3. x⁵ - 5x⁴ + 4x³ - x² + 5x - 4
4. x⁴ - 7x³ - 21x² + 63x -108
5. a(n-1) + 1.4
6. 3/(2× 2ⁿ⁻¹)
Explanation
Q1
Σ4ⁿ = 4¹ + 4² + 4³ + 4⁴ + 4⁵
= 4 + 16 + 64 + 256 + 1024
= 1,364
Q2. What is (f−g)(x)?
f(x)=x4−3x2+5x−7
g(x)=x3−3x2+3x−1
(f−g)(x) = (x⁴−3x²+5x−7
) - (x³−3x²+3x−1)
=x⁴ + 2x - 6
3. What is (f⋅g)(x)?
f(x)=x2−5x+4
g(x)=x3−1
(f⋅g)(x) = (x³−1)(x²−5x+4
)
= x⁵ - 5x⁴ + 4x³ - x² + 5x - 4
4. Let f(x)=x2−9 and g(x)=x2−7x+12 .
What is (fg)(x)?
(fg)(x) = (x²−9)(x²−7x+12)
= x⁴ - 7x³ - 12x² - 9x² + 63x -108
= x⁴ - 7x³ - 21x² + 63x -108
5. What is the recursive rule for the sequence?
4.4, 5.8, 7.2, 8.6, 10, …
5.8 = 4.4 = 1.4, 10 - 8.6 = 1.4 The sequence is an AP where the common difference is 1.4 and the first term a is 4.4.
We and 1.4 to the previous term in order to get the next term.
an = a(n-1) + d
= a(n-1) + 1.4
6. Enter the explicit rule for the geometric sequence.
3/2, 3/4, 3/8, 3/16, 3/32, …
common ratio r, = 4/3 ÷3/2 = 1/2
First term a, = 3/2
an = arⁿ⁻¹
= (3/2)(1/2)ⁿ⁻¹
= 3/(2× 2ⁿ⁻¹)
What goes in order from least to greatest, 14/25, 29/50, 53/100, 13/20, 3/5
14/25 , 29/50 , 53/100 , 13/20 and 3/5
Solution:
Put your numbers first in decimal form;
0.56 , 0.58 , 0.53 , 0.65 and 0.60
Then arrange them from the least to greatest;
0.53 , 0.56 , 0.58 , 0.60 and 0.65
Then revert your values to fraction form to give a final answer:
53/100 , 14/25 , 29/50 , 3/5 , 13/20
Estimate the quotient for 317÷42 a.3 b.6 c.7 d.8
PLEASE HELP ASAP!!! CORRECT ANSWER ONLY PLEASE!!! I CANNOT RETAKE THIS!!
Jack wrote this solution to solve for x.
Which statement is true?
the correct answer should be (b) 6 is extraneous.
If you look at the second row of the solution you see (x-6) as a factor in one of the denominators. That's a problem: if 6 were a solution this denominator would become 0. But denominators being 0 is bad (undefined), so while 6 comes out of the algebraic manipulation as a solution, it is invalid, or extraneous.
-3 is a fine solution.
The correct statement is B that is "6 is an extraneous solution because it creates a zero in the denominator" as the step 2 has x-6 as a term of denominator of the RHS.
What is denominator?The lower number in a fraction is known as the denominator. It demonstrates the equal division of something into parts. Four would be the denominator, for instance, if the fraction was 3/4. For instance, the fraction bar is the line that separates the numbers 4 and 5, and 4/5 is a fraction. Here, the numerator is the number above the fraction bar, and the denominator is the number below the fraction bar. The denominator, or number of parts out of the whole, is represented by a numerator. The bottom number alone serves as the denominator.
Here,
The right option is B, which means that "6 is an extraneous solution because it creates a zero in the denominator," since the RHS's step 2's denominator term is x-6.
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A partial cylinder lies on its side. The bases are a 90° sector of a circle. What is the exact volume of the partial cylinder?
Answer:
180%
Step-by-step explanation:
Answer:
160piein^3
Step-by-step explanation:
Consider the leading term of the polynomial function. What is the end behavior of the graph?
2x^7 – 8x^6 – 3x^5 – 3
A. The leading term is 2x^7. Since n is odd and a is positive, the end behavior is up and up.
B. The leading term is 2x^7. Since n is odd and a is positive, the end behavior is down and down.
C. The leading term is 2x^7. Since n is odd and a is positive, the end behavior is down and up.
D. The leading term is 2x^7. Since n is odd and a is positive, the end behavior is up and down.
Answer:
Option C.
Step-by-step explanation:
A polynomial is defined as
[tex]P(x)=ax^n+bx^{n-1}+...+c[/tex]
where, [tex]ax^n[/tex] is leading term.
If n is even and a is positive, then the end behavior is up and up.
If n is even and a is negative, then the end behavior is down and down.
If n is odd and a is positive, then the end behavior is down and up.
If n is odd and a is negative, then the end behavior is up and down.
The given polynomial is
[tex]P(x)=2x^7-8x^6-3x^5-3[/tex]
In this polynomial leading term is [tex]2x^7[/tex].
a=2 and n=7, which is odd.
Since n is odd and a is positive, therefore the end behavior is down and up.
We want to analyze the end behavior of a graph of a given polynomial by the degree and leading coefficient.
The correct option is C: "The leading term is 2x^7. Since n is odd and a is positive, the end behavior is down and up."
The general rule to know this is:
If the degree is even, then the two arms of the polynomial go in the same direction, then if the leading coefficient is positive, both ends go up.
If the leading coefficient is negative, both ends go down.
In the case where the degree is odd, each end go in a different direction.
If the leading coefficient is positive, the first end (the one for the negative values) go down, and the other end goes up.
When the leading coefficient is negative the inverse happens.
Here we have the polynomial:
p(x) = 2*x^7 - 8*x^6 - 3*x^5 - 3
We can see that the degree is 7, so it is odd, and the leading coefficient is positive (is equal to 2).
Then the first end goes down and the second goes up, thus the correct option is C.
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Answer: C
Step-by-step explanation:
f(x) = 2x + 1 ⇒ 2x + 1
- g(x) = -(x² - 7) ⇒ -x² + 7
(f-g)(x) = -x² + 2x + 8
The tire franks bike moves 75 inches in at one rotation how many rotations will the tire have made after frank rides 50 feet
helpppppppppppppppppp plzzzz
first part: 5% of $94 is 0.05*94=$4.70
second part: 80% of 45 questions is .8*45 = 36
What is the point slope for of the line with. Slope 2/5 that passes through the point (-4,-7)
The point-slope form of a line:
[tex]y-y_0=m(x-x_0)[/tex]
We have:
[tex]m=\dfrac{2}{5}\\\\(-4,\ -7)\to x_0=-4,\ y_0=-7[/tex]
Substitute:
[tex]y-(-7)=\dfrac{2}{5}(x-(-4))\\\\y+7=\dfrac{2}{5}(x+4)[/tex]
A bee flew 840 \text{ cm}840 cm840, space, c, m and landed on a flower to collect some pollen. Then the bee flew another 330 \text { cm}330 cm330, space, c, m to get back to her hive. How many meters did the bee travel?
Answer:
The bee traveled 11.7 meters.
Step-by-step explanation:
A bee flew 840 cm first to land on a flower to collect some pollen and then flew another 330 cm to get back to her hive.
For finding the total distance traveled, we need to just add 840 cm and 330 cm.
So, [tex](840+330) cm = 1170 cm[/tex]
We know that, 1 meter = 100 cm. That means, for converting 'cm' into 'meter' , we need to divide by 100.
Thus, [tex]1170 cm= \frac{1170}{100} meter = 11.7 meter[/tex]
So, the bee traveled 11.7 meters.
Answer:
11.7
Step-by-step explanation:
khan academy
HELP PLEASE!!
A conjecture and the two-column proof used to prove the conjecture are shown.
Drag an expression or phrase to each box to complete the proof.
3. AB = CE
4. CE = AC
5. Transitive property of congruence
6. Definition of isosceles triangle
Triangle ABC Is an isosceles triangle because line AB is equal to line AC .
What is an isosceles triangle?An isosceles triangle is a triangle with two equal sides and two equal angles. The third side and angle may differ in length and measure.
The symmetry in side lengths and angles gives it distinct geometric properties.
Since line BD is equal to line CE and line CE is equal to line AC, this means that line BC is a bisector of line AD and AE,
Therefore we can say triangle ABC is an isosceles triangle because AB = AC.
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What is the width of a rug that is 36 1/4 square feet and 8 3/4 wide
Answer: [tex]4\frac{1}{7} ft[/tex]
Step-by-step explanation:
Area (A): [tex]36\frac{1}{4} = \frac{4(36)+1}{4} = \frac{144+1}{4} = \frac{145}{4}[/tex]
Length (L): [tex]8\frac{3}{4} = \frac{4(8)+3}{4} = \frac{32+3}{4} = \frac{35}{4}[/tex]
width (w): W
A = L x W
[tex]\frac{145}{4}[/tex] = [tex]\frac{35}{4}[/tex] x W
[tex](\frac{4}{35})[/tex][tex]\frac{145}{4}[/tex] = [tex](\frac{4}{35})[/tex][tex]\frac{35}{4}[/tex] x W
[tex]\frac{4(145)}{35(4)} = \frac{145}{35} = \frac{5(29)}{5(7)} = \frac{29}{7} = W[/tex]
[tex]\frac{29}{7} = \frac{7(4) + 1}{7} = 4\frac{1}{7}[/tex]
I need HALP!
Using the expression 5x 2 + 7, match the following items.
exponent 2
variable 5
coefficient 7
constant x
A rectangular patio is 9 ft by 6 ft. When the length and width are increased by the same amount, the area becomes 88 sq ft. Ginger is using the zero product property to solve the equation (6 + x)(9 + x) = 88. What do her solutions represent?
one possible length and one possible width
two possible amounts for the widths
two possible amounts for the lengths
two possible amounts by which the dimensions were increased
Answer:
D. two possible amounts by which the dimensions were increased
Step-by-step explanation:
The solutions to the equation (6 + x)(9 + x) = 88 represent two possible amounts by which the dimensions of the rectangular patio were increased.
Explanation:The solutions to the equation (6 + x)(9 + x) = 88 represent two possible amounts by which the dimensions of the rectangular patio were increased. The equation represents the area of the larger patio, which is found by multiplying the increased length (6 + x) by the increased width (9 + x), and setting it equal to 88. By solving the equation, you can find the possible values of x, which represent the amounts by which the dimensions were increased.
Food bill before the tax: $80 sales tax: 7.3% tip: 18%
-y= -2x +5 how do you make variable positive
Please help answer the following question.
Answer:
B
Step-by-step explanation:
The two points going to the left that are roots are
(-3,0) and (-1,0)
So the factors are (x + 3)(x + 1)
The points going to the right are
(2,0)(3,0)
So the factors are (x - 2)(x - 3)
The answer is B
the answer to your question is B
A poster is marked down 35% from an original price of $7.80. What is the sale price?
$7.65
$7.15
$5.07
$2.73
Answer:
The correct answer is C. $5.07
Step-by-step explanation:
Answer:
5.07
Step-by-step explanation:
Factory expression over the complex numbers.
X^2 + 52
[tex]x^2+52=\\\\x^2-(-52)=\\\\(x-\sqrt{-52})(x+\sqrt{-52})=\\\\(x-2\sqrt{13}i)(x+2\sqrt{13}i)[/tex]
Trisha has a bag with 32 dimes and nickels worth $2.80. How many of each coin does she have?
Trisha has 18 nickels and 14 dimes in her bag worth $2.80. The solution involves solving equations simultaneously to find the number of each coin.
Trisha has 18 nickels and 14 dimes. Let's break it down:
Let N represent the number of nickels and D represent the number of dimes.
We know that N + D = 32 (the total number of coins).
We also know that 0.05N + 0.10D = 2.80 (the total value in dollars).
Solving these two equations simultaneously gives N = 18 and D = 14.
Therefore, Trisha has 18 nickels and 14 dimes.
A swimming pool is being drained. The number of gallons of water in the pool changes with time t according to the equation G = -4t + 100.
Which equation correctly solves the given equation for t?
A) t = 4G - 100
B) t = -4G + 100
C) t =
100 - G
4
D) t =
G - 100
4
C
G= - 4t + 100 ( add 4t to both sides )
G + 4t = 100 ( subtract G from both sides )
4t = 100 - G ( divide both sides by 4 )
t = [tex]\frac{100-G}{4}[/tex]
t=(G-100)/4 is the equation that correctly solves the given equation for t. So, option C is the correct answer.
Given that, the number of gallons of water in the pool changes with time t according to the equation.
The given equation is G = -4t + 100.
We need to solve the given equation for t.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
In its simplest form in algebra, the definition of an equation is a mathematical statement that shows that two mathematical expressions are equal.
Now, G = -4t + 100
⇒4t=G-100
⇒t=(G-100)/4
Therefore, t=(G-100)/4 is the equation that correctly solves the given equation for t. So, option C is the correct answer.
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Craig practiced his drum 4 hours more than nicki . Nicki practiced his drums 5 hours less than marshal marshal practiced his drums 16 hours how many hours did craig practiced
Craig practiced 15 hours
Nicki practiced his drums for 11 hours, and considering Craig practiced 4 hours more than Nicki, Craig practiced his drums for 15 hours.
Explanation:Let's start by figuring out how many hours Nicki practiced his drums. We know that Nicki practiced his drums 5 hours less than Marshal, and Marshal practiced his drums 16 hours. This means that Nicki practiced his drums for 16-5= 11 hours.
Next, we move on to figuring out how many hours Craig practiced his drums. The question tells us that Craig practiced his drums 4 hours more than Nicki. Since we now know that Nicki practiced his drums for 11 hours, this means that Craig practiced his drums for 11+4= 15 hours.
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1. Work out the area of a circle with radius 7.5 cm.
Take (pie) to be 3.142 and give your answer to 2 decimal places.
2. A semicircle has radius 8.2 cm.
Work out the area of the semicircle.
Take (pie) to be 3.142 and give your answer to 1 decimal place.
The area of a circle with a radius of 7.5 cm is 176.81 cm² to two decimal places, and the area of a semicircle with a radius of 8.2 cm is 104.8 cm² to one decimal place.
Explanation:Calculating the Area of a Circle and SemicircleTo work out the area of a circle with a radius of 7.5 cm using π (pi) as 3.142, we use the formula A = πr².
First, square the radius: 7.5 cm × 7.5 cm = 56.25 cm².
Then multiply by π: 56.25 cm² × 3.142 = 176.8125 cm².
The area to 2 decimal places is 176.81 cm².
For the area of a semicircle with radius 8.2 cm, we first calculate the area of a full circle and then divide by 2.
Full circle area: 8.2 cm × 8.2 cm × 3.142 = 209.5852 cm².
Area of the semicircle: 209.5852 cm² ÷ 2 = 104.7926 cm², which rounds to 104.8 cm² to 1 decimal place.
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The area of the circle is [tex]177.16[/tex] [tex]cm^2[/tex] and the area of semicircle is [tex]105.0[/tex] [tex]cm^2[/tex].
The area of a circle is given by the formula [tex]\( A = \pi r^2 \)[/tex], where [tex]\( r \)[/tex] is the radius of the circle.
1. For the first question, the radius [tex]\( r \)[/tex] is given as 7.5 cm. Using the formula for the area of a circle:
[tex]\[ A = \pi r^2 \][/tex]
[tex]\[ A = 3.142 \times (7.5 \text{ cm})^2 \][/tex]
[tex]\[ A = 3.142 \times 56.25 \text{ cm}^2 \][/tex]
[tex]\[ A = 177.1625 \text{ cm}^2 \][/tex]
Rounded to two decimal places, the area of the circle is [tex]\( A = 177.16 \text{ cm}^2 \)[/tex].
2. For the second question, the figure is a semicircle with a radius of 8.2 cm. The area of a semicircle is half the area of a full circle.
Therefore, using the formula for the area of a circle and then dividing by 2:
[tex]\[ A_{\text{semi}} = \frac{1}{2} \pi r^2 \][/tex]
[tex]\[ A_{\text{semi}} = \frac{1}{2} \times 3.142 \times (8.2 \text{ cm})^2 \][/tex]
[tex]\[ A_{\text{semi}} = \frac{1}{2} \times 3.142 \times 67.24 \text{ cm}^2 \][/tex]
[tex]\[ A_{\text{semi}} = \frac{1}{2} \times 210.0944 \text{ cm}^2 \][/tex]
[tex]\[ A_{\text{semi}} = 105.0472 \text{ cm}^2 \][/tex]
Rounded to one decimal place, the area of the semicircle [tex]\( A_{\text{semi}} = 105.0 \text{ cm}^2 \)[/tex].
Julia has 3 and 1/2 pounds of dog food.She plans to split it equally among her 7 dogs. How much will dog food will each dog receive?
Answer:
Each dog will receive [tex]\frac{1}{2}[/tex] pounds of dog food.
Step-by-step explanation:
This is a very straightforward question.
To find the amount each dog gets we have to divide the total number of dog food to 7 equal portions.
Amount of dog food each dog will receive= Total number of dog food / number of dogs
=[tex]\frac{3\frac{1}{2} }{7}[/tex]
=[tex]\frac{\frac{7}{2} }{7}[/tex]
=[tex]\frac{7}{7*2}[/tex]
=[tex]\frac{1}{2}[/tex] pounds
Therefore, each dog will receive [tex]\frac{1}{2}[/tex] pounds of dog food.
which one is x1, y1 and which is x2, y2?
(7, 2) and (15,8)
The values are always interpreted as (x1, y1) and (x2, y2) in order from left to right, so in this case, (7,2) are (x1, y1) and (15, 8) are (x2, y2)
X1 = 7
Y1 = 2
X2 = 15
Y2 = 8