Answer:
It took Markus half an hour to drive home from work. He averaged 34 miles per hour. How far does Markus live from his work?
Solution
We are given that it takes 1/2 an hour for the trip. This is a time:
t = 1/2
We are given that he averages 34 miles per hour. This is a rate:
r = 34
We are asked how few he has traveled. This is a distance. We use the d=rt equation:
d = rt
= (34)(1/2)
= 17
Markus lives 17 miles from work.
Now try one by yourself. If you want to see the answer, put your mouse on the yellow rectangle and the answer will appear.
Exercise 1
The current along the beach is moving towards the south at 1.5 miles per hour. If a piece of debris is placed into the water, how far will the current take it in 6 hours?
Step-by-step explanation:
A base angle of an isosceles triangle is 27 degrees. What is the measure, in degrees of the vertex angle?
Answer:
vertex angle is 126°
Step-by-step explanation:
two base angles are 27° which equals 54°
since there are 180° inside a triangle the vertex angle is 180 - 54
Will was lowered in a cage 10 feet below the surface of the water. A Great White shark swam 24 feet below the surface of the water. What was the distance between Will and the shark?
Answer:
14 feet
Step-by-step explanation:
Share 1 km in the ratio 2:3
Use slopes and y intercepts to determine if the lines 3x+3y=-1 and -x+4y-4 are parallel or not
Answer:
Since slopes are not same therefore lines are not parallel
Step-by-step explanation:
slope of 3x+3y=-1 is -1
slope of -x+4y-4=0 is 1/4
What is the simple interest paid to the nearest cent for each principal interest rate and time $1,000, 5%, 2 years
Step-by-step explanation:
SI=prt
p=1000
r=0.05
t=2
SI=1000×0.05×2
SI=100
The simple interest paid to the nearest cent for each principal interest rate and time $1,000, 5%, 2 years is $100.
What is simple interest?Simple interest is a method of calculating the interest charge. Simple interest can be calculated as the product of principal amount, rate and time period.
Simple Interest = (Principal × Rate × Time) / 100
[tex]I = \dfrac{P \times R \times T}{100}[/tex]
Given;
principle= $1000
rate= 5%
time= 2years
Substitute the given values in the formula;
Simple Interest =(1000×5×2)/100
= 10000/100
Simple Interest will be $100
Learn more about simple interest here;
https://brainly.com/question/1548909
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the pair of figures are similar, find the missing side.
please help me, choose the right one
22. Two automobiles started at the same time from a point, but traveled in
opposite directions. Their rates were 45 and 65 miles per hour respectively.
After how many hours were they 440 miles apart?
Answer:
4
Step-by-step explanation:
45+65=110
110x4=440
What is the slope of the linear function
graphed below?
Answer: C
Step-by-step explanation:
A rectangular rug has an area of 38.5 square feet. If the rug is 5 feet wide, what is the length of the rug?
Answer:
7.7 square feet
Step-by-step explanation:
38.5 divided by 5, equals 7.7.
Hope this helps
Answer:
10
Step-by-step explanation:
80 = l(l - 2) = l2 - 2l. Solve the quadratic to find solutions l = 10 and l = -8. You can't have a negative side, so the length of the rectangle must be 10.
Simon has a bag of candy that he is sharing with 4 friends. If Simon and his friends each got at least 30 pieces of candy, what was the minimum amount of candy in the bag?
Answer:
Step-by-step explanation:
the minimum amount is
5*30=150 pieces,
we have Simon plus 4 friends
can someone please help me in finding out if this is a function or not?
Answer:
yes, it is y=2
Step-by-step explanation:
Which of the following is equivalent to 3(y - 1+ 2y)?
A 6у - 3
B 9y - 3
C Зу – 3
D Зу - 9
Answer:
b
Step-by-step explanation:
[character limit pass]
when katilyn went to bed, the temperature was 36^F. when she woke up the next morning, the temperature was -9^F.
Answer:
it decreased by 45 degrees f
Step-by-step explanation:
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.
The change in temperature.
= Final temperature - Initial temperature
The change in temperature is -45°F
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 temperature at the time of bed.
Initial temperature = 36° F
The temperature when she woke up.
Final temperature = -9° F
The change in temperature.
= Final temperature - Initial temperature
= -9 - 36
= 45°F
This means that there was a change of 45°F from the time when she went to bed till the time she woke up.
Thus,
The change in temperature is -45°F
Learn more about expressions here:
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I really need help with this problem
Please help me with this question
Answer:
A
Step-by-step explanation:
2 (1+n)= - 1n
3 2
2+2n = - n/2
3
2(2+2n) = - 3n
4+4n = - 3n
4 = - 3n - 4n
4= - 7n
n = - 4
7
1. If two polygons are SIMILAR, then the corresponding angles must be _____.
2. If two polygons are SIMILAR, then the corresponding sides must be _____.
3. The composition of two (or more) isometries is always ______
4. A rectangle has a length of 9 mm. A similar rectangle is drawn using a scale of 1:3. What is the length of the second rectangle?
5. A right triangle has a base of 5 ft and a height of 12 ft. A similar triangle has an area of 270 square feet. What are the dimensions of a similar triangle?
Answer:
1. If two polygons are SIMILAR, then the corresponding angles must be are congruent and corresponding sides are proportional
2.If two polygons are SIMILAR, then the corresponding sides must be proportional
3.The composition of two (or more) isometries is always an isometry
4. A rectangle has a length of 9 mm. A similar rectangle is drawn using a scale of 1:3. What is the length of the second rectangle?
3
Step-by-step explanation:
two polygons are similar if corresponding angles are congruent and corresponding sides are proportional
If two polygons are SIMILAR, then the corresponding sides must be proportional
The composition of two (or more) isometries is always an isometry
4. A rectangle has a length of 9 mm. A similar rectangle is drawn using a scale of 1:3. What is the length of the second rectangle?
9/1 = 1/3 so 9/3 = 3
Can please help me find the slope
Answer:-3
Step-by-step explanation:
Can someone help me?
Answer:
Step-by-step explanation:
Because these two triangles are isoceles triangles, two angles are the same, which in this case would be 78. 78 times 2 would give us 156 for the right triangle, but since 180 - 156 does not equal 16, they are not similar nor congruent.
The function t relates the age of a plant fossil, in years, to the percentage, c, of carbon-14 remaining in the fossil relative to when it was alive.
t(c)=-3,970(ln c)
Use function t to complete the statements.
A fossil with 47% of its carbon-14 remaining is approximately ___ years old.
A fossil that is 7,000 years old will have approximately ___ of its carbon-14 remaining.
Applying the logarithmic function, it is found that:
A fossil with 47% of its carbon-14 remaining is approximately 2997 years old.A fossil that is 7,000 years old will have approximately 56.71% of its carbon-14 remaining.The age of a fossil with a proportion c of carbon 14 remaining is given by:
[tex]t(c) = -3970\ln{c}[/tex]
If the fossil has 47% of carbon-14 remaining, we have that [tex]c = 0.47[/tex], and thus:
[tex]t(0.47) = -3970\ln{0.47} = 2997[/tex]
For a fossil that is 7000 years old, we have that [tex]t(c) = 7000[/tex], and hence:
[tex]t(c) = -3970\ln{c}[/tex]
[tex]\ln{c} = -\frac{3970}{7000}[/tex]
[tex]e^{\ln{c}} = e^{-\frac{3970}{7000}}[/tex]
[tex]c = 0.5671[/tex]
A fossil that is 7,000 years old will have approximately 56.71% of its carbon-14 remaining.
A similar problem is given at https://brainly.com/question/23120675
Answer:2998 Years
17% of carbon
Step-by-step explanation:
edmentum and plato friendly double checked with multiple sources
Salve this proportion 15/35=g/7
There are 9 players per team. Find the number of players on 7 teams
z
X
Y
34°
28
Х
Plz help
9514 1404 393
Answer:
2. x ≈ 17.74
3. x ≈ 16.64
Step-by-step explanation:
The tangent function relates an angle to the opposite and adjacent sides of a right triangle:
Tan = Opposite/Adjacent
Here, we're looking for the measure of the side opposite the angle, so we can rearrange this relation to ...
Opposite = Adjacent×Tan
__
2. x = 32×tan(29°) ≈ 17.74
3. x = 13×tan(52°) ≈ 16.64
_____
Hopefully, we've given enough decimal places so that you can round to the precision you need.
The Stem-and-Leaf Plot shows the distance traveled by Rob's family, in miles per day, to reach their holiday destination. What is the mean for this data?
A. 65 mi. per day
B. 61 mi. per day
C. 68 mi. per day
D. 55 mi. per day
Answer:61
Step-by-step explanation: Just took test
Find the value of x for the right triangle.
Answer:
x= 4.5
Step-by-step explanation:
Please see the attached picture for the full solution.
combine like terms 5a -2b - 6 + 3a + 6b
Answer:
8a+4b-6
Step-by-step explanation:
Hope this helps you!!!!
Combine like terms 5a -2b - 6 + 3a + 6b
Answer:8a + 4b - 6
#CARRYONLEARNING #STUDYWELLA manufacturer of chocolate chips would like to know whether its bag filling machine works correctly at the 432 gram setting. It is believed that the machine is underfilling the bags. A 29 bag sample had a mean of 425 grams with a standard deviation of 26. Assume the population is normally distributed. A level of significance of 0.02 will be used. Find the P-value of the test statistic. You may write the P-value as a range using interval notation, or as a decimal value rounded to four decimal places.
Answer:
-2.154
Step-by-step explanation:
We are given;
Population mean; μ = 432
Sample mean; x¯ = 425
Sample size; n = 29
standard deviation; σ = 26
Hypothesis is defined as;
Null hypothesis; H0: μ ≥ 432
Alternative hypothesis: Ha: μ < 432
Formula for the test statistic since sample size is less than 30 is;
t = (x¯ - μ)/(σ/√n)
Plugging in the relevant values;
t = (425 - 432)/(26/√29)
t = -1.45
Now,we are given significance level of 0.02; our DF = n - 1 = 29 - 1 = 28
From t-table attached, we can see that at DF of 28 and significance value of 0.02, the critical value is 2.154
However, this is a left tailed test as the rejection region is to the left.
Thus, the critical value of a left tailed test is negative. Thus, in this case our critical value will be -2.154
Help plz:)))I’ll mark u Brainliest
Answer:
The answer to the question provided is Grace.
Step-by-step explanation:
The angle measure for 60 degrees and its corresponding side which measures 14 is greater than the measure of 50 degrees and its corresponding side which measures 12.4. That's correct. The reason Hector was incorrect is because the angle measure for 60 degrees and its corresponding side measured 12.4 was less than the measure of 50 degrees and its corresponding side that measured 14. 60 degrees is greater than 50 degrees, then the corresponding side for the angle that measures 60 degrees should be greater than the corresponding side for the angle that measures 50 degrees.
What is a translation
Answer:
A translation is a transformation that occurs when a figure is moved from one location to another location without changing its size, shape or orientation. In the coordinate plane we can draw the translation if we know the direction and how far the figure should be moved.
Step-by-step explanation:
Answer:
A translation is converting another language into English
Step-by-step explanation:
Which function is the inverse of f(x) = -5x -4?
Answer:
f^-1(x) = (x + 4) / -5
Step-by-step explanation:
f(x) = -5x - 4 Substitute f(x) with y
y = -5x - 4 Switch the x and y variables
x = -5y - 4 Solve it down
x + 4 = -5y
y = (x + 4)/ -5
f^-1(x) = (x + 4) / -5 <----- This is the answer
