Simplify negative 7 and one over 8 minus negative 9 and one half
Find f(-1) (inverse) if y=4x+2/3x-1 and x is not equal with 1/3
BRAINLIESTTTT!
1. Sasha and Mona practiced swimming every day. They increased the number of minutes of swimming every week as described below:
Sasha: Practiced swimming for 10 minutes every day in the first week, 20 minutes in the second week, 40 minutes in the third week, and 80 minutes in the fourth week.
Mona: Practiced swimming for 10 minutes every day in the first week, 20 minutes in the second week, 30 minutes in the third week, and 40 minutes in the fourth week.
Which statement best describes the methods used by Sasha and Mona to increase the time they practiced swimming?
Mona's method is linear because the number of minutes increased by an equal factor every week.
Sasha's method is exponential because it increases by an equal number every week.
Mona's method is exponential because it increases by a fixed factor, and Sasha's method is linear because it increases by a fixed number.
Sasha's method is exponential because it increases by a fixed factor, and Mona's method is linear because it increases by a fixed number.
2. The sales totals at Macy's food store have increased exponentially over the months. Which of these best shows the sales in the first three months?
$1200 in the first month, $1220 in the second month, $1240 in the third month
$1200 in the first month, $1272 in the second month, $1344 in the third month
$1200 in the first month, $1285 in the second month, $1370 in the third month
$1200 in the first month, $1224 in the second month, and $1248.48 in the third month
Answer:
1: option:D
2: option:D
Step-by-step explanation:
1:
Clearly as we see the time of sasha practice it increases by a fixed factor of '2'. but when we see the time of mona's practice it increases by 10mins every week. hence there is a addition of a fixed number '10'.
so option D is correct;which says Sasha's methid is exponential because it increases by a fixed factor, and mona's method is linear because it increases by a fixed number.
2:
option D determines that the rate are increasing exponentially.
The graph shown is the solution set for which of the following inequalities? y ≥ x + 1 y ≥ |x| + 1 y ≥ |x - 1|
Answer:
y ≥ |x| + 1
Step-by-step explanation:
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Caitlin says the difference in their ages is 24 years. In two or more complete sentences, explain whether or not Caitlin is correct. In your explanation, include the equations and calculations necessary to support or contradict Caitlin's answer.
Find the equation of the line perpendicular to x−5y=15 that passes through the point (−2,5).
1. Solve the given equation for y.
x - 5y = 15
-5y = -x + 15
y = (-x + 15)/-5
y = (x/5) - 3
y = (1/5)(x) - 3
The slope is 1/5. See it?
The equation we are looking for has a slope which is the negative inverse of the slope in the equation we just solved for y.
The slope for the equation we want is -5 which is the negative inverse of 1/5. Undetstand?
We have the slope of the new equation and one point is given.
Plot BOTH into the point-slope formula and solve for y. To solve for a variable means to isolate the variable ALONE on one side of the equation.
y - y_1 = m(x - x_1)...This is the point-slope formula. Our given point is (5,-2)
y - 5 = -5(x - (-2))
y - 5 = -5(x + 2)
We now solve for y and that's it.
y - 5 = -5x - 10
y = -5x - 10 + 5
The equation we want is y = -5x - 5.
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The ratio of men to women working for a company is 7 to 4 . if there are 133 men working for the company, what is the total number of employees?
At green deli employees earn double time for any hours worked in addition to their usual 40-hour week. Ester Klein worked 43 hours this week. Klein's regular hourly rate is $9.00 an hour. What is her total pay this week?
Answer:
$414.00
Step-by-step explanation:
At green deli employees earn double time for their over time.
Klein's regular hourly rate = $9.00
So, her overtime rate = $9 × 2 = $18.00
Ester Klein worked 43 hours this week.
40 hours regular work + 3 hours overtime
Her total pay this week = (40 × 9) + (3 × 18)
= 360 + 54
= $414.00
Her total pay this week is $414.00
Two vertices of an isosceles triangle in the coordinate plane have coordinates (0,0) and (2a,0). Where might the third vertex be located?
A combination of numbers variables and at least one operation is called
Final answer:
A combination of numbers, variables, and at least one operation is called an expression. It involves the use of variables and operators to represent mathematical relationships or operations. Expressions are fundamental in algebra for solving problems and describing mathematical properties.
Explanation:
A combination of numbers, variables, and at least one operation is called an expression. An expression is a mathematical statement that combines values, variables (which are symbols that represent unspecified numbers), and operators (special symbols that represent computations like addition, subtraction, multiplication, and division) to describe a sequence of operations that yield a single result. For example, the expression 5 - 3xy combines the numbers 5 and 3, the variable y, and the operations of subtraction and multiplication to form a single mathematical statement.
Of a group of students, 5/8 of them are boys. the girls are put into groups so that each group has 1/16 of the total number of students. how many groups of girls are there?
The scale on a map of Virginia shows that 1 centimeter represents 30 miles. The actual distance from Richmond, VA to Washington, DC is 110 miles. On the map, how many centimeters are between the two cities? Round your answer to the tenth.
Answer:
3.7 cm
Step-by-step explanation:
which one has the same value as 1 hundred 7 tens
If -4 is added to a number and them sum is doubled, the result is -16 less than the number. find the number.
Final answer:
By setting up an equation based on the given problem (2(n - 4) = n - 16) and solving for n, we find that the number in question is – 8.
Explanation:
To find the number in question, let's represent the unknown number as n. According to the problem, if -4 is added to a number and then the sum is doubled, it equals the number decreased by 16. So the equation based on the problem is:
2(n - 4) = n - 16
Expand the left side of the equation:
2n - 8 = n - 16
Now we want to get all the n terms on one side and the constants on the other. To do this, we subtract n from both sides:
n - 8 = -16
Next, we add 8 to both sides to solve for n:
n = -16 + 8
n = -8
So the number in question is -8.
What are the discontinuities of the function f(x) = x^2+2x-8/12x+24?
If you are passing a large tractor trailer rig going 50 mph, how long will it take to pass if you use the correct passing techniques?
To pass a truck going 55 mph while you go 60 mph, it will take about 8.94 seconds if using the correct passing techniques. This calculation is based on the relative speed and the total distance required to pass the truck.
First, consider the difference in speeds between the car and the truck. Assuming the truck is going 55 mph as stated in the reference information, and the car speeds up to 60 mph:
Calculate the relative speed:Therefore, it will take approximately 8.94 seconds to pass the truck completely.
The Greenville Art Museum had 12 sculptures on display that were made by students. The museum received 3 more student sculptures. After two weeks they loaned 4 of the sculptures to another museum. How many student sculptures are at the Greenville Art Museum now?
The Greenville Art Museum currently has 11 sculptures on display after receiving 3 more sculptures and then loaning out 4 sculptures.
Explanation:The Greenville Art Museum initially had 12 sculptures on display. They added 3 more sculptures to their collection, which increased the total number of sculptures to 15. Afterwards, they loaned out 4 sculptures to another museum. To find out how many sculptures are still at the Greenville Art Museum, we subtract the number of sculptures loaned out from the total.
Starting with 15 sculptures, after loaning out 4, we do the following calculation:
15 - 4 = 11 sculptures
Therefore, the Greenville Art Museum now has 11 sculptures on display.
Gasoline costs $3.29 per gallon. Write an expression to represent the total cost of buying g gallons of gasoline at that price.
A quadrilateral has three angles that measure 80°, 110°, and 75°. Which is the measure of the fourth angle
Name the set(s) of numbers to which 1.18 belongs.
a. rational numbers
b. rational numbers, irrational numbers
c. natural numbers, whole numbers, integers, rational numbers
Answer:
a. rational numbers
Step-by-step explanation:
The number is between integers, so it can't be an integer or a whole number.
In general, 1.18 belongs to three sets of numbers.
Firstly, it is a rational number because it can be written in the form p/q where p and q are integers and q is not equal to zero.
1.18=[tex]\frac{118}{100}[/tex]
Secondly, all rational numbers are also real numbers and all real numbers are complex numbers.
But we have been given to choose from only rational numbers, irrational numbers, natural numbers or whole numbers.
So, the only answer is rational number.
Where would an imaginary line need to be drawn to reflect across an axis of symmetry so that a regular pentagon can carry onto itself? A) any angle to any angle B) any angle to the farthest angle C) any angle to the next closest angle D) any angle to the center of the side opposite the angle
Answer:
Any angle to the center of the side opposite the angle
Step-by-step explanation:
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Which postulate or theorem can be used to prove that angle abc is congruent to angle def?
If two angles and the included side of one triangle are congruent to the corresponding parts of another triangle, then the triangles are congruent.
A tennis ball hit from the ground level into the air. Its height above the ground at the time can be modeled by the function h(t) = -16t² +160t. The height, h, is measured in feet above the ground and the time, t, is measured in seconds after the ball is hit. How long is the ball in the air?
Answer:
a
Step-by-step explanation:
Why must eye protection be worn at all times in welding shop?
The prefix milli- means one thousandth, or 10–3. how many milliseconds (ms) are in 6.7 seconds? 6.7 × 10–3 ms 2.0 × 104 ms 6.7 × 102 ms 6.7 × 103 ms
You know that the prefix mili means one thousandth or 1/100.
Numerically speaking, one thousandth is equals to 10 to the power of negative 3.
Solving seconds to milliseconds:
6.7 seconds x 1000 milliseconds / 1 second
Cancelling out the unit seconds. Then multiplying 6.7 to 1000 milliseconds.
The answer is 6,700 milliseconds or 6.7 x 10^3 ms
A theorem is a statement that can be easily prove using a corollary
Answer:
false
Step-by-step explanation:
how to find what numbers a number is divisible by
To burn 1 molecule of c7h16 to form co2 and h2o (complete combustion), how many molecules of o2 are required?
Eleven molecules of O2 are required to completely combust one molecule of C7H16, producing CO2 and H2O. The balanced chemical reaction of this process is: C7H16 + 11O2 → 7CO2 + 8H2O.
Explanation:Combustion of one molecule of C7H16 (heptane) to produce CO2 (carbon dioxide) and H2O (water) requires 11 molecules of O2 (oxygen). The balanced chemical equation of this reaction is:
C7H16 + 11O2 → 7CO2 + 8H2O
The equation shows that for every one molecule (or mole) of C7H16, 11 molecules (or 11 moles) of oxygen are needed. An analogy can be seen in the combustion of methane where one methane molecule and two oxygen molecules react to yield one carbon dioxide molecule and two water molecules.
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A peer is having difficulty finding angle measures using trigonometric ratios in a right triangle. Create an example to demonstrate how to do this and be sure to address using the reciprocal relationships (cosecant, secant, cotangent too)
Final answer:
To find angle measures using trigonometric ratios, such as sine, cosine, and tangent, as well as their reciprocals (cosecant, secant, and cotangent), use SOHCAHTOA to relate the sides of the triangle to the angle. Utilize the inverse trigonometric functions (like arccos) on your calculator to find the angle's measure from the ratio you have calculated with sides of the triangle.
Explanation:
To find angle measures using trigonometric ratios in a right triangle, we can use the mnemonic SOHCAHTOA, which stands for Sine equals Opposite over Hypotenuse, Cosine equals Adjacent over Hypotenuse, and Tangent equals Opposite over Adjacent. Let's create an example:
Suppose we have a right triangle with a hypotenuse (h) of 10 units and an adjacent side (x) to angle theta of 8 units.
To find the cosine of angle theta, we use the ratio Cos(theta) = x/h. Thus, Cos(theta) = 8/10 = 0.8.
To determine the actual measure of angle theta, we use the inverse cosine function: theta = arccos(0.8), which gives us the angle's measure in degrees or radians.
For the reciprocal, secant (Sec) is simply the inverse of cosine: Sec(theta) = 1/Cos(theta) = 10/8 = 1.25.
If we needed to use the cotangent, which is the reciprocal of the tangent, we would first need to find the opposite side (y) using the Pythagorean theorem and then use the ratio Cot(theta) = x/y.
It's essential to understand these relationships and how to use the inverse functions to find the angle measures in a right triangle. Reciprocal relationships involve the use of cosecant (Csc), which is 1/Sin(theta), secant (Sec), and cotangent (Cot), which is 1/Tan(theta). Always make sure your calculator is set to the correct unit (degrees or radians) before calculating the angle.