The value of c in the equation y = x² + c, given the point (4,7) lies on the graph, is found to be -9 after substituting the point's coordinates into the equation and solving for c.
To find the value of c in the equation y = x² + c, where the point (4,7) is on the graph, we substitute the x and y values from the point into the equation. This gives us:
7 = 4² + c
7 = 16 + c
Now, we subtract 16 from both sides to solve for c:
c = 7 - 16
c = -9
Therefore, the value of c is -9.
How many terms are in the arithmetic sequence 9, 2, −5, . . . , −187?
Final answer:
To find the number of terms in the arithmetic sequence 9, 2, −5, ..., −187, the formula for the nth term of an arithmetic sequence is used with the first term a1, common difference d, and the last term an. By solving an = a1 + (n - 1)*d for n, it is found that there are 29 terms in the sequence.
Explanation:
To determine how many terms are in the arithmetic sequence 9, 2, −5, ..., −187, we use the formula for the nth term of an arithmetic sequence:
an = a1 + (n - 1)*d where,
a1 is the first term,
d is the common difference, and
n is the number of terms.
For the given sequence:
a1 = 9 (the first term)
d = 2 - 9 = -7 (the common difference)
an = −187 (the last term)
We need to find the value of n that satisfies:
−187 = 9 + (n - 1)*(-7)
Solving for n gives us:
−187 - 9 = (n - 1)*(-7)
n - 1 = 28/7
n = 28 + 1
n = 28 + 1
n = 29
Therefore, there are 29 terms in the arithmetic sequence.
The gasoline gauge on a van initially read 1/3 full. When 10gallons were added to the tank, the gauge read 3/4 full. How many more gallons are needed to fill the tank?
If mountain mack splits his week evenly between carving fishing lures and duck decoys, what is the maximum number of fishing lures and duck decoys he could carve?
To find the maximum number of fishing lures and duck decoys Mountain Mack can carve, we need to divide his available time equally between the two activities. The maximum number of each item he can carve depends on the total hours available, the time it takes to carve a fishing lure, and the time it takes to carve a duck decoy.
Explanation:To find the maximum number of fishing lures and duck decoys that Mountain Mack could carve, we need to split his week evenly between the two activities. Let's say he has a total of 'x' hours available in a week. Since he'll be dividing his time equally, he'll spend 'x/2' hours carving fishing lures and 'x/2' hours carving duck decoys.
To put this in terms of fishing lures and duck decoys, we need to know the time it takes to carve each item. Let's say it takes 'y' hours to carve a fishing lure and 'z' hours to carve a duck decoy. The maximum number of fishing lures Mountain Mack can carve would be 'x/2y' and the maximum number of duck decoys he can carve would be 'x/2z'.
So, to find the maximum number of fishing lures and duck decoys Mountain Mack can carve, we need to know the total number of hours available in a week ('x'), the time it takes to carve a fishing lure ('y'), and the time it takes to carve a duck decoy ('z').
the states C&D spend a total of 55.6 million dollars for tourism the state C spends 3.2 million dollars more than State D find the amount that each state spends on tourism.
Whats 526 divided by 8
During a 10-day period, the balance of Martas chexking account dropped $290. Write a division expression ro represent the change. Then determine the average daily change in account balance during that 10-day period
Casey has 8
1
2
yards of fabric. She uses 2
1
2
yards to make pillows and 3 yards to make curtains. How much fabric is remaining?
The value of a professional basketball player's autograph rose 30% in the last year. It is now worth $338.00. What was it worth a year ago?
Why did the scientist make an exact duplicate of himself
This is a math riddle in which you can only discover the answer by cracking the given equations and each answer has the corresponding letters. Nonetheless, the solution to this is the scientist created an exact duplicate of himself because HE WAS JUST CLONING AROUND
Answer:
he was just cloning around!
Step-by-step explanation:
it's a riddle :)
A flower bed is 5 yards long and 4 yards wide. what is its area in square feet?
If it costs 9.50 to buy a movie ticket what is the most number of tickets someone can buy for 40.00 and how much money is left over
Felicia has a box of 16 cookies. if she divides all of the cookies up evenly among the 7 children she watches at the day care, how many cookies will each child get?
it is going to be 2 1/3
rename the number.. 24 ten thousands
Help me please I forgot my notes at school
How much heavier is a 9 1/8 pound box than a 2 5/6 pound box
what is2.1e-10 in standard form
Which statement include two quantities in the real world that are additive inverses
what is the length of each leg in the right triangle shown below
Answer:
Step-by-step explanation:
2
Answer:
7
Step-by-step explanation:
how to find domain and range in a graph and will give the bainliest to whoever explains to me on how to do it.
A trip from new york to seattle is 2852.1 miles. A family wants to make the drive in ten days, driving the same number of miles each day. About how many miles will they drive each day? Round your answer to the nearest tenth of a mile.
Answer:
285.2 miles per day.
Step-by-step explanation:
We have been given that a trip from New York to Seattle is 2852.1 miles. A family wants to make the drive in ten days.
To find the distance traveled by the family each day, we will divide total distance by 10 as:
[tex]\text{Distance traveled by the family each day}=\frac{2852.1\text{ miles}}{\text{ 10 days}}[/tex]
[tex]\text{Distance traveled by the family each day}=\frac{285.21\text{ miles}}{\text{day}}[/tex]
[tex]\text{Distance traveled by the family each day}\approx \frac{285.2\text{ miles}}{\text{day}}[/tex]
Therefore, the family will drive 285.2 miles per day.
The 128 employees of a company volunteer 12,480 hours in 26 weeks. On average, how many hours do they all volunteer per weeks? On average, how many hours does each employee volunteer per week?
The company's employees volunteer an average of 480 hours per week in total, and each employee volunteers an average of 3.75 hours per week.
To calculate the average number of hours the employees of a company volunteer per week, you would divide the total hours volunteered by the number of weeks. So, the calculation for the average weekly volunteer hours for the entire company is 12,480 hours divided by 26 weeks, which is 480 hours per week.
To find out the average number of hours each employee volunteers per week, divide the weekly volunteer hours by the number of employees. Using the previous calculation of 480 hours per week for the entire company and dividing by 128 employees, you get an average of 3.75 hours per employee per week.
lesson 6 divide whole numbers
using the Pythagorean theogram find the length of a leg of a right triangle if the other leg is 8 feet long and the hypotenuse is 10 feet long
The length of a leg of a right triangle is 6 feet.
Used the concept of Pythagoras's theorem states,
The Pythagoras theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the square of the other two sides.
Given that,
In a triangle, the other leg is 8 feet long and the hypotenuse is 10 feet long.
Let us assume that,
the length of a leg of a right triangle = x
Hence by using Pythagoras's theorem,
10² = 8² + x²
100 = 64 + x²
100 - 64 = x²
36 = x²
x² =36
x = √36
x = 6
Therefore, the length of the leg is 6 feet.
To learn more about the Pythagoras theorem visit:
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A recipe that yields 12 cups of soup calls for 24 oz of beef broth. How many ounces of beef broth do you need to make 18 cups of soup?
Carlos finds the absolute value of -5.3, and then finds the opposite of his answer. Jason finds the opposite of -5.3 and then finds the absolute value of his answer. What final value is greater? EXPLAIN
What is 859 divided by 3?
Get around cab company charges 2.50 upon entry and $2 per mile. Wrote the function that represents the cost of C of a ride of m miles
Evaluate n + 11 for n = 3.
A: 331
B: 33
C: 14
D: 8
which is greater 9.087 or 9.807
1.33 equals .002 divided by 6A. Solve for A?