Answer:
8.5 cm
Step-by-step explanation: The formula for the area of a triangle is base times height divided by 2. To find the original number before dividing by 2 you have to multiply 65.45 times 2, which is 130.9. The length is 15.4 and the original number before dividing by 2 is 130.9 to find the height divide 130.9 by 15.4 which is 8.5. If you plug in the value height is 8.5 cm , length is 15.4 and multiply it and divide it by 2 you will get 65.45.
A model rocket is launched with an initial velocity of 250 ft per second. The height h, in feet, of the rocket t seconds after the launch is given by
h = −16t2 + 250t.
How many seconds after the launch will the rocket be 600 ft above the ground? Round to the nearest hundredth of a second. (Enter your answers as a comma-separated list.)
9514 1404 393
Answer:
{2.96, 12.66}
Step-by-step explanation:
A graph shows the rocket will be 600 feet up after 2.96 seconds, and again at 12.66 seconds.
__
You can solve the equation h = 600 to find the times.
-16t^2 +250t = 600
-16(t^2 -15.625t) = 600
-16(t^2 -15.625t +7.8125²) = 600 -16(7.8125²)
-16(t -7.8125)² = -376.5625
t -7.8125 = √(376.5625/16) ≈ ±4.8513
t = 7.8125 ± 4.8513 ≈ {2.9612, 12.6638}
The rocket will be 600 ft above the ground 2.96 and 12.66 seconds after launch.
The graph below shows the number of cases of candy bars four students sold for a fundraiser and the total number of candy bars in those cases. How many candy bars are in each case
Answer:
Step-by-step explanation:it’s between 30 and 50
Answer: The answer is 25
Step-by-step explanation: If you look at the kid with 200 bars he had 8 boxes, so all you had to do was divide 8 by 200. I hope this helped! : )
What is the compound interest on a $10,000 investment that earns 6% compounded monthly for 5 years?
Answer:
$13,488.50
Step-by-step explanation:
annual rate 6%
so every month = 6/12 = 0.5%
compounding monthly so every month the money grows at (1+0.5%)
for 5 years, it's 60 months
10,000 * (1+0.5%)^60 = $13,488.50
A rectangular cardboard has dimensions as shown. The length of the cardboard can be found by dividing its area by its width. What is the length of
the cardboard in inches?
Area = 36 - square inches
4
width = 4 inches
length = ?
8 7 7
Og
11
O 32
20
O 154
7
20
Answer:
9 inchesStep-by-step explanation:
Area of the rectangular cardboard = Length * Width ... 1
Given the area of the cardboard = 36-square inches
If the length of the cardboard can be found by dividing its area by its width, then Length = Area/Width ... 2
Given the width to be 4 inches
Length = 36 in²/4 in
Length of the cardboard = 9 inches
A home has gone up in value over several
decades and is now worth 1354% of its
original sale price of $23,000. What is the
value now?
Answer:
$31,142
Step-by-step explanation:
To convert a percentage into a decimal, you move the decimal two places to the left. 1354% converted into a decimal is 13.54.
$23,000 * 13.54 = $31,142
If the Federal Reserve sells $60,000 in Treasury bonds to a bank at 8%
interest, what is the immediate effect on the money supply?
A. It is increased by $64,800.
B. It is decreased by $60,000.
C. It is increased by $60,000.
D. It is decreased by $64,800.
If the Federal Reserve sells $60,000 in Treasury bonds to a bank at 8% interest, the immediate effect on the money supply is B. It is decreased by $60,000.
What decreases the money supply?One of the monetary factors that decreases the money supply in the economic is when the Federal Reserve raises the banks' reserve requirements.
Another factor that can decrease the money supply is the sale of treasury bonds to banks.
Raising the interest rates also decreases the money supply.
Thus, by selling $60,000 in Treasury bonds to a bank at 8% interest, it decreases the money supply.
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You spin a spinner with 4 sections: 1 red (R), 1 green (G), 1 purple (P), and 1
yellow (Y).
What is the sample space for one spin of this spinner?
OA. (RG, GP, PY, YR)
OB. (R, G, P, Y)
O C. (R, G, B, Y)
OD. (R, G, P, B, Y)
The sample space is (R, G, P, Y).(OB)
What is sample space?
A sample space is a collection of possible outcomes of a random experiment. The sample space is represented by the symbol, “S”. A sample space may contain a finite number of outcomes which depends on the experiment.
You spin a spinner with 4 sections: 1 red (R), 1 green (G), 1 purple (P), and 1
yellow (Y).
So here is 4 sections
Red(R), Green (G), Purple (P), Yellow(Y)
So there are 4 sections in sample space
The sample space for one spin of the spinner is (R, G, P, Y).
Hence, the sample space is (R, G, P, Y).
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You are preparing to buy a house. Your monthly gross income is $3,200. a. What is the maximum amount you can finance (mortgage)? (4 points)
The maximum amount you can finance is $896.
We are given that;
The monthly gross income = $3,200
Now,
28% of your gross monthly income on your mortgage, including taxes and insurance
The percentage = 28%
3200* 28/100
=32*28
=896
Therefore, by percentage the answer will be $896.
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5/6 of a number is 65.
Find the number.
Answer:
78 is the number
Step-by-step explanation:
(65*6)÷5 = 78.
5/6 of a number is 65.
And the number is 78.
What is multiplication?Multiplication is a mathematical arithmetic operation. It is also a process of adding the same types of expression for some number of times.
Example - 2 × 3 means 2 is added three times, or 3 is added 2 times.
Given:
A phrase: 5/6 of a number is 65.
To find the number:
Let the number be n.
Applying multiplication operation,
5/6 of n is 65.
(5/6)n = 65.
Applying cross multiplication,
n = 65 x 6/5
n = 390/5
n = 78.
Therefore, the number is 78.
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please help ! I need help with math because I am failing and I might have to repeat the grade.. I have a quiz right now I don’t understand this question I will provide a photo above thank you <3! question “10“ btw
2560 fluid ounces in pints is 160 which is A.
If this is incorrect, please don't refrain to tell me and I'll correct my answer. Thank you.
There are 3/20 tickets left to sell and capacity is 3000 how many tickets are available to sell
Answer:
45
Step-by-step explanation
20x = 900
----- -------
20 20
45
Stephanie has a spinner with sections labelled 1, 2 and 3.
She spun it 100 times and recorded how many times it landed on each section in
the table below.
Work out the relative frequency of landing on an odd number, giving your answer
as
a) a fraction in its simplest form.
b) a decimal.
Section
1
Frequency 17
2
20
3
63
Answer:
\(\frac{4}{5}\)
0.8
Step-by-step explanation:
Happy to help:)
helppppppppppppppppppppp
Answer:
75%
Step-by-step explanation:
450/600 = 0.75
0.75 as a percent is 75%
hope this helps:)
Answer:
75%
Step-by-step explanation:
When Sarah opens a map of her neighborhood on her cell phone, she notices that the park near her house is 0.5 cm wide. She zooms in until it is 3 times as large. If the park is 15 m wide, what is the scale of her zoomed-in map?
A 10cm=1 m
B 1cm= 10 m
C 1cm= 30 m
D 3cm= 10m
The scale of Sarah's zoomed-in map is 1cm = 1000 cm or 1cm = 10 m. So the answer is (B) 1cm = 10 m.
To find the scale of Sarah's zoomed-in map, we can use the ratio of the width of the park on the map to its actual width.
Let's first convert the width of the park from meters to centimeters, since the width of the park on the map is given in centimeters.
15 m = 1500 cm
Next, we can set up a proportion:
0.5 cm / x = 1500 cm / (3x)
where x is the scale of the zoomed-in map.
Simplifying the proportion, we get:
0.5(3x) = 1500
1.5x = 1500
x = 1000
Therefore, the answer is (B) 1cm = 10 m.
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5h-2g=26
2h + 2g 2
find h and g
Answer:
g = -3, h = 4.
Step-by-step explanation:
5h - 2g = 26
2h + 2g = 2 Adding the 2 equations:
7h = 28
h = 4.
Substituting for h in the first equation:
5(4) - 2g = 26
-2g = 26 -20 = 6
g = -3.
giving brainiest for correct answer !!
Answer: A and B plz mark me brainliest
Step-by-step explanation:
I really sure what to do for this question some help would be greatly appreciated
Given the Domain and the Range of the relation, you need to remember that the Domain is the set of all input values (x-values), and the Range is the set of all the output values (y-values).
Therefore, knowing the input values and the corresponding output values indicated in the Diagram, you can write the following ordered pairs:
\((1,9),(4,10),(10,3)\)Notice that they have this form:
\((x,y)\)Where "x" is the x-coordinate of the point, and "y" is the y-coordinate.
Therefore, you need to plot all the points on the Coordinate Plane in order to express the relation as a graph.
Hence, the answer is:
The ratio of the areas of two similar polygons can be found by using the ratio of their perimeters or the ratio of similarity and squaring it.
The ratio of the areas of two similar polygons can be found by using the ratio of their perimeters or the ratio of similarity and squaring it which is true.
What is a polygon?The polygon is a 2D geometry that has a finite number of sides. And all the sides of the polygon are straight lines connected to each other side by side.
Similar polygons are those whose perimeter ratios are identical to their respective scale factors. The common fraction of the sizes of two matching sides of two identical polygons is known as a scale factor.
The given statement is true.
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What is the shape of the cross section of the figure that is perpendicular to the triangular bases and passes through a
vertex of the triangular bases?
A
a parallelogram that is not a rectangle
O a rectangle
O a triangle that must have the same dimensions as the bases
O a triangle that may not have the same dimensions as the bases
Answer:
a triangle that may not have the same dimensions as the bases
Step-by-step explanation:
The cross section of the figure that is perpendicular to the triangular bases and passes through a vertex of the triangular bases would be a triangle that may not have the same dimensions as the bases.
which point from the equation would you use? y-7=3(x+9)
Another point on the line is (-9, 7). Ultimately, the choice of which point to use depends on the context or specific requirements of the problem you are solving.
To determine which point to use from the equation y - 7 = 3(x + 9), we need more information.
The equation provided represents a linear equation in the form y - y1 = m(x - x1), where (x1, y1) is a point on the line and m is the slope.
Without additional context or specific instructions, we can choose any point that satisfies the equation to use as a reference.
For example, if we let x = 0, we can solve the equation for y:
y - 7 = 3(0 + 9)
y - 7 = 3(9)
y - 7 = 27
y = 27 + 7
y = 34
So, one point on the line is (0, 34).
Alternatively, if we let x = -9, we can solve the equation for y:
y - 7 = 3(-9 + 9)
y - 7 = 3(0)
y - 7 = 0
y = 7
So, another point on the line is (-9, 7).
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What is the solution to this inequality? 1/3x − 7>−4
Add 7 to both sides.
1/3x > −4 + 7Add −4 and 7 to get 3.
1/3x > 3Multiply both sides by 3, the reciprocal of 1/3 . Since 1/3 is >0, the direction of inequality remains the same.
x > 3 × 3Multiply 3 and 3 to get 9.
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The value of the digit 6 in the number 47,602 is 10 times the value of the digit 6 in which number?
A. 76.201
B. 60.245
C. 53.462
D. 46,290
Answer:
Answer B
Step-by-step explanation:
In 47,602, the six is in the hundreds place.
We can divide 100/10 to get what place value it should be in. This gives us the tens place.
Now, we can see which number has a six in the tens place: Answer B, because sixty is 6 * 10.
A recipe says that 6 spring rolls will serve 3 people.complete the table how many people will 30 spring rolls serve
Answer:15
Step-by-step explanation: 6 divide by 3 =2
30 divide 2=15
Determine the probability of rolling a die and getting a 2
then a 5.
The probability of rolling a die and getting a 2, then a 5, is 1/36.
To determine the probability of rolling a die and getting a 2, then a 5, we need to multiply the probabilities of each event happening.
First, let's consider the probability of rolling a die and getting a 2. Since there are six equally likely outcomes when rolling a fair six-sided die (numbers 1 to 6), the probability of rolling a 2 is 1/6.
Now, let's consider the probability of rolling a die and getting a 5. Again, there are six equally likely outcomes, so the probability of rolling a 5 is also 1/6.
To find the probability of both events happening, we multiply the probabilities:
Probability of rolling a 2 and then a 5 = (1/6) * (1/6) = 1/36.
Therefore, the probability of rolling a die and getting a 2, then a 5, is 1/36.
It's important to note that each roll of the die is an independent event, meaning that the outcome of one roll does not affect the outcome of the next roll. Therefore, the probability of rolling a 2 and then a 5 remains constant at 1/36 regardless of previous rolls or the order in which they occur.
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A baseball player had batting average of 0.298 what the probability of him getting exactly 4 out of 10 times he was up at bat
The probability of the baseball player getting exactly 4 hits out of 10 times at bat is approximately 0.161, or 16.1%.
To calculate the probability of a baseball player getting exactly 4 hits out of 10 times he was up at bat, we need to use the binomial probability formula.
The binomial probability formula is given by:P(X = k) = C(n, k) * p^k * (1 - p)^(n - k)
Where:
P(X = k) is the probability of getting exactly k hits
n is the total number of trials (in this case, the player's 10 times at bat)
k is the number of successful trials (in this case, 4 hits)
p is the probability of success in a single trial (in this case, the player's batting average, 0.298)
(1 - p) is the probability of failure in a single trial
Plugging in the values:
P(X = 4) = C(10, 4) * (0.298)^4 * (1 - 0.298)^(10 - 4)
Using the combination formula C(n, k) = n! / (k! * (n - k)!):
P(X = 4) = 10! / (4! * (10 - 4)!) * (0.298)^4 * (1 - 0.298)^(10 - 4)
Calculating the values:
P(X = 4) ≈ 0.161
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0.0001 in scientific notation
Answer:
1 × 10^-4
Step-by-step explanation:
This is because after the decimal point there are 4 numbers so u have to put -4, and the 1 is there because of the last number
Answer:
1 × 10^-4
Step-by-step explanation:
What number is less than 6/9 of a dollar but greater than 0.45
Answer:
0.50
Step-by-step explanation:
to get both numbers in the same unit you have to change one, I'm changing 6/9
6 divided by 9 is ABOUT 0.6 so you can choose any numbr between 0.46 and 0.59
find the inverse (4)/(3)x+2
Sheldon harvest the strawberries and tomatoes in his garden. He picks 1 1/6 kg less strawberries in the morning than in the afternoon. If Sheldon picks 2 1/3 kg in the morning, how many kilograms of strawberries does he pick in the afternoon? Explain your answer using words, pictures or equations.
Answer:
Sheldon will pick 10/3kg in the afternoon
PLEASE HELP ME WITH THE ANSWER! THANK YOU!