Answer:
The van overtakes the truck at 2:15 PM.
Step-by-step explanation:
A truck leaves a depot at 11 AM and travels at a speed of 45 mph.
The van leaves 1 hour later, so when the van leaves, the truck will be at position 45 miles. The equation for the truck's position is given by:
[tex]T(t) = 45 + 45t[/tex]
At noon, a van leaves the same place and travels the same route at a speed of 65 mph.
At noon, the van is at the position of 0 miles, and travels at a speed of 65 miles per hour. So, the equation for the vans' position is:
[tex]V(t) = 65t[/tex]
At what time does the van overtake the truck?
t hours after noon, in which t is found when:
[tex]V(t) = T(t)[/tex]
So
[tex]65t = 45 + 45t[/tex]
[tex]20t = 45[/tex]
[tex]t = \frac{45}{20}[/tex]
[tex]t = 2.25[/tex]
0.25 of an hour = 1/4 = 15 minutes.
Thus, the van overtakes the truck at 2:15 PM.
I need help really bad please
Using technology we found the equation of the line to be y=-2x + 25. Using the given equation
predict the value of a car that is 3 and a half years old.
Answer:
A car that is 3 and a half years old would cost $18,000
Step-by-step explanation:
Using the given equation, [tex]y=-2x+25[/tex], we replace 'x' with '3.5' and solve for 'y'.
[tex]y=-2(3.5)+25[/tex]
[tex]y=-7+25[/tex]
[tex]y=18[/tex]
Dollar values on the graph are expressed in thousands. Thus, we multiply 18 by 1,000 to get $18,000
Please hurry and answer the questions for me
Pls answer this question!! (will give brainliest)
Answer:
Step-by-step explanation:
The answer is A simple
Question
On Sunday, about how many times as great was the number of dinner customers as the number of lunch
customers?
...Answer:
Step-by-step explanation:
Where I’ll the pain go if your leg is cut of?
The same spot where you cut your leg
Challenge: Laura buys a 10 pound bag of dog food. She feeds her dogs 22 ounces of food per day. Will the bag of dog food last a whole week? Explain.
Answer:
Yes, the dog food will last a whole week
Step-by-step explanation:
1 pound=16 ounces, so
10 pounds=10*16=160 ounces.
There are 7 days in a week, so if Laura feeds her dogs 22 ounces per day, she will need 7*22=154 ounces to last a whole week.
She buys 160 ounces, which is greater than 154, so yes.
Answer:
Yes, the food will last the whole week
Step-by-step explanation:
10 pounds is 160 ounces. If you multiply 22 by 7 you'll get 154.
what expression is equivalent to 5 (x+10)
Answer:
An expression equivalent to 5 (x + 10) is 5x + 50.
Suppose your friend's parents invest 15,000 in an account paying 7% compounded annually. What will the balance be after 5 years?(round to the nearest cent as needed)
Answer:
FV= $21,038.28
Step-by-step explanation:
Giving the following information:
Initial investment (PV)= $15,000
Interest rate (i)= 7% compounded annually
Number of periods (n)= 5
To calculate the future value (FV), we need to use the following formula:
FV= PV*(1 + i)^n
FV= 15,000*(1.07^5)
FV= $21,038.28
write the fraction 1/30 as a percentage
Answer:
[tex]3 \frac{1}{3} [/tex]
Step-by-step explanation:
1/30 × 100% = 3 1/3%
Select the correct answer. What is the solution to the equation? 3(x+9) ^3/4 = 24
Answer:
7
Step-by-step explanation:
look at pic 10 PTS I NEED THIS QUESTION I WILL TELL U HOW TO GET UNLIMITED POINTS TELL ME IF U NEED THE MULTIPLE CHOICE ANSWERS
Answer:
68 square unites
Step-by-step explanation:
Draw a live from (-8,2) to (0,2) and up to (0,4). This divides it into three shapes.
Big triangle = 0.5x8x12=48
Little triangle = 0.5x2x4=4
Rectangle = 8x2=16
48+4+16=68
A triangle with side lengths of 8 cm, 14cm and 20 cm classify it as acute obtuse or right
Answer:
Obtuse
Step-by-step explanation:
The pythagorean theorem: a^2+b^2=c^2
Right triangles: a^2+b^2=c^2
Acute triangles: a^2+b^2>c^2
Obtuse triangles: a^2+b^2<c^2
8^2+14^2 ? 20^2
64+196 ? 400
260 < 400
The triangle is obtuse.
Bob's science teacher gave a quiz every Friday. Bob's quiz scores are shown in the box.
81 85 94 80 84 87 93 92
What is the median of Bob's quiz scores?
A 82
B 85
C 86
D 87
NO FILES PLZZ
Answer:
86
Step-by-step explanation:
80 81 84 85 87 92 93 94 8 numbers
Put numbers from smallest to largest then go through and count all the numbers. Cross off each number on either side until you get to the middle in this case you have two numbers average the. 85+ 87= 172/2 = 86
What does Masi help Janya realize?
Masi help Janya realize, that the Janya's family has a long tradition of protecting nature. Option D is the correct option.
What is passage reading?Passage reading is to read a passage carefully to learn about a topic as well as enhance the vocabulary. Some question related to the passage is asked in passage reading.
Summary of the given paragraph,
Janya thinks that the concern of her for the tree or the nature is nonsense as there is no meaning of it.Mesi helped Janya to realize that to protect the environment and grow tree is utmost duty of every human being.Mesi told to Janya about her family, which has a long tradition of protecting nature.Thus, Masi help Janya realize, that the Janya's family has a long tradition of protecting nature. Option D is the correct option.
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The diagram shows the locations of Gabe’s house, a library, and a gymnasium. Each unit on the grid represents 1 kilometer.
Part C: Gabe’s friend Cindy lives halfway between Gabe’s house and the library. What is the coordinate location of Cindy’s house on the graph?
A.(1, 2)
B.(1, 1)
C.(2, 1)
D.(2, 2)
Answer:
Step-by-step explanation:4.4
Isla used her computer for 5 hours over the weekend. How many minutes did she spend on the computer?
Answer:
300 minutes
Step-by-step explanation:
5x60=300.
Answer: 300
Step-by-step explanation:
Find the greatest power of 3 that is a divisor of 100!
Answer:
33 + (11-1) + (3-1)2 + (1-1)3 = 47
Div with 100 indiv power of 3 and adding
3 = 33
9 = 11
27 = 3
81= 1
total = 48
Examine this algebraic expression:
4x + y - 1/2 + 12
What are the variables?
What are the coefficients?
What are the constants?
Answer:
the variables are 4x and y the coefficients are 12 and the constant is 1/2
Which of the following best describes the effect the moon has on the tides?
A
The gravity of the moon pulls the ocean, which causes the tides.
B
When the moon is invisible in the sky, tides cannot be seen.
C
Tides only happen at night when the moon is visible.
D
The moon’s light makes it possible to see the tides at night.
Answer: A
Step-by-step explanation:
The moon's gravity pulls water away from Earth, causing high tide on the side of Earth facing the moon.
What is the base of the exponential function?
0.625
0.16
0.86
1.16
answer - 0.86
Answer:
the answer might be 0.86 I don't know though
There are 55 blue marbles and 143 red marbles we want to place these
marbles in some boxes so that there is the the same in
each box and the same number of blue in each
many boxes do we need?
A. 8
B. 9
C. 10
Answer:
9 boxes
Step-by-step explanation:
The number of boxes that has the same number of marbles is 9.
Option B is the correct answer.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
The total number of marbles.
= 55 + 143
= 198
The number of boxes where each box has the same number of marbles.
= 198 / 22
= 9
Where each box will have 22 marbles.
Thus,
The number of boxes is 9.
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You want to know if environmental conditions affect feeding behavior in rats. You conduct a study measuring the amount of food pellets rats eat when under the following experimental conditions: (lights off; in a cold room), (lights on; in a cold room), (lights off; in a warm room), (lights on; in a warm room).
What type of statistical test should be conducted given the format of these data?
a. Correlation
b. Repeated measures ANOVA
c. Independent measures; Factorial (two-way) ANOVA
d. Independent measures; one-way ANOVA
Answer:
c. Independent measures; Factorial (two-way) ANOVA
Step-by-step explanation:
The answer to this question is the independent measures one way ANOVA. This is as we have these conditions light on or off and cold or warm room. Now we have to check how these factors are able to affect the amount of food pellets eat whenever they are in these experimental conditions.
option c is the correst answer. A factorial or two way anova is one with more than one factor or explanatory variable.
Help ME ASAP PLZZZZZ!!!!!!!!!
On a map, 3 centimeters represents 500 miles.
a) Two cities are 9 centimeters apart on the map. How many miles apart are the two cities?
b) Two national parks are 750 miles apart. How many centimeters apart are the two parks on the map?
Answer:
a.1,500 miles apart b.1.5 centermeters
Step-by-step explanation:
give me brainleist thank and 5 star!
a) The distance between the two cities is 1500 miles
b) The distance between the two national parks on the map is 4.5 cm
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
The scale on the map is
3 cm : 500 miles
a)
Let the distance between the 2 cities be = A
Now , the equation is
When the distance between the 2 cities is 500 miles , the scale on the map is 3 cm
So ,
3 cm = 500 miles
9 cm = 3 x 3 cm
9 cm = 500 x 3 miles
= 1500 miles
Therefore , the distance between the two cities is 1500 miles
b)
The distance between the two national park is 750 miles
Now , the equation is
When the distance between the 2 cities is 500 miles , the scale on the map is 3 cm
So ,
500 miles = 3 cm
1 mile = 3 / 500 cm
750 miles = ( 3 x 750 ) / 500 cm
750 miles = 3 x 1.5 cm
= 4.5 cm
Therefore ,
The distance between the two national parks on the map is 4.5 cm
Hence , a) The distance between the two cities is 1500 miles
b) The distance between the two national parks on the map is 4.5 cm
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Help me please! NO FILES! i will report :)
Answer:
report me I have brainly plus
A random sample of three-year-old thoroughbred racehorses is taken, and the 95% confidence interval for the true mean height (in inches) is calculated to be (62.0, 68.4). Data about horses from the historical record of the three-year old thoroughbred racehorses who have run in the Kentucky Derby is examined, and the mean height is calculated to be 68.25 inches. Does this sample provide convincing evidence that three-year-old thoroughbred racehorses are, on average, shorter than those that run in the Kentucky Derby
Options :
Yes, 68.25 is near the top of the confidence interval.
Yes, the value of 68.25 is a number in the confidence interval.
Yes, 68.25 is much higher than the sample mean of all three-year-old thoroughbred racehorses, which was 65.2 inches.
No, the value of 68.25 is a number in the confidence interval.
No, the horses that run in the Kentucky Derby are a subset of all three-year-old thoroughbred racehorses
Answer:
No , the value of 68.25 is a number in the confidence interval.
Step-by-step explanation:
The confidence interval gives a range if values which is used in establishing the significance of an hypothesis. If the true mean falls within the confidence interval drawn, then our finding is insignificant and the null hypothesis will stand. However, if the true mean does not fall within the interval, then our result is considered significant and the null is thus rejected.
Since true mean exists within the confidence interval, then we conclude that the sample does not provide convincing evidence that three-year-old thoroughbred racehorses are, on average, shorter than those that run in the Kentucky Derby
Comparative financial statement data for Carmono Company follow: This Year Last Year Assets Cash $ 8.50 $ 16.00 Accounts receivable 54.00 47.00 Inventory 97.50 84.40 Total current assets 160.00 147.40 Property, plant, and equipment 237.00 198.00 Less accumulated depreciation 47.20 35.40 Net property, plant, and equipment 189.80 162.60 Total assets $ 349.80 $ 310.00 Liabilities and Stockholders’ Equity Accounts payable $ 58.50 $ 48.00 Common stock 126.00 97.00 Retained earnings 165.30 165.00 Total liabilities and stockholders’ equity $ 349.80 $ 310.00 For this year, the company reported net income as follows: Sales $ 950.00 Cost of goods sold 570.00 Gross margin 380.00 Selling and administrative expenses 360.00 Net income $ 20.00 This year Carmono declared and paid a cash dividend. There were no sales of property, plant, and equipment during this year. The company did not repurchase any of its own stock this year. Required: 1. Using the indirect method, prepare a statement of cash flows for this year. 2. Compute Carmono’s free cash flow for this year.
help me with these equations
Answer:
8. [tex]\frac{8r^{2} }{q^{2} }[/tex]
10. [tex]12x^{-1} y^{6} z[/tex]
Step-by-step explanation:
8. [tex]\frac{16p^{6}qr^{8} }{2(p^{2}qr^{2})^{3} }[/tex] = [tex]\frac{16p^{6}qr^{8} }{2p^{6}q^{3}r^{6} }[/tex]= [tex]\frac{8r^{2} }{q^{2} }[/tex]
10. [tex]4x^{2} y[/tex] . 3 [tex](-2x^{4} y)^{0}[/tex] . [tex]x^{-3} y^{5} z[/tex] = [tex]4x^{2}y[/tex] . [tex]3(1)[/tex] . [tex]\\x^{-3} y^{5}z[/tex] = [tex]\\12x^{-1}yx^{6}z[/tex]
The denominator of a fraction is 7 more than the numerator. If 1 is added to the numerator and 6 is added to the denominator, the value of the fraction will be ½. Find the numerator and the denominator.
Answer:
Let x=numerator,
y=denominator.
y=x+7 - - - - - (i)
(x+3)/(y+3) = 2/3
(Cross multiply)
3(x+3)=2(y+3)
3x+9=2y+6
(subtract 9 from both sides)
3x+9–9=2y+6–9
3x=2y+6–9
3x=2y-3 - - - - - - - (ii)
(substitute the value of equation (i) into (ii))
3x=2(x+7)-3
3x=2x+14–3
3x=2x+11
(subtract 2x from both sides)
3x-2x=2x+11–2x
x=11.
(substitute the value of x into equation (i))
y=7+11
y=18.
so numerator =11,
numerator =11,denominator = 18.
So original fraction is 11/18.
3/11th of original fraction is
= 11/18 x 3/11
= (11x3)/(18x11)
= 3/18
=1/6.
Answer = 1/6.
Answer:
Step-by-step explanation:
let numerator be x and denominerator be y
according to the question equation is
1+x /7+x+6=1/2( do cross multiplication)
7+x+6=2(1+x)
13+x=2+2x
13-2=2x-x
11=x
numerator =x+1=11+1=12
therefore numerator is 12
for denominerator
substitute the value of x in (7+x+6)
=7+11+6
24
The Ambell Company uses batteries from two different manufacturers. Historically, 70% of the batteries are from manufacturer 1, and 90% of these batteries last for over 40 hours. Only 75% of the batteries from manufacturer 2 last for over 40 hours. A battery in a critical tool fails at 32 hours. What is the probability it was from manufacturer 1?
Answer:
0.625
Step-by-step explanation:
Given :
Ambell company uses or procures batteries from two manufacturers.
The life of a battery in critical tool is at = 32 hours
Ambell uses 70% of its batteries from manufacturer 1 and out of that 90% batteries lasts for about 40 hours.
Similarly, 75% of the batteries procured from the manufacturer 2 lasts for about 40 hours.
Therefore, the probability that a battery is form manufacturer 1 is :
[tex]$\frac{0.4 \times 0.25}{(0.6 \times0.1)+(0.4 \times 0.25)}$[/tex]
= 0.625