Answer:
Let x = number of additional credits the student needs to get 4.0 GPA on. 52 credits with a GPA of 2.8 means a total of 52 * 2.8 = 145.6 145.6+4x52+x=3.2 Solve the equation for x
Step-by-step explanation:
Because i said so
Which system of equations has only one solution?
A
y=x+5 and y=-3x+6
B
y=x-2 and y=x+4
C
y= |x - 5| and y = 0.2x+1
D
y = x^2-1 and y=1.5x + 1
Answer:
A
Step-by-step explanation:
option A has two linear equations that intersect at one point
option B has two linear equations that are parallel and do not intersect
option C has one linear equation and an absolute value equation that intersect at two points
option D has one linear equation and a quadratic equation that intersect at two points
A 5-pound box of raspberries costs $27.20. What is the price per ounce?
$
Answer:
$0.34 per ounce
Step-by-step explanation:
A 5 pound box can be changed to ounces. There are 16 ounces in a pound. So we have 5 groups of 16.
5 × 16 is 80 ounces.
There are 80 ounces in 5lbs.
To get a price per ounces, divide.
dollars/ounces
= 27.20/80
= 0.34 dollars/oz.
This is 34cents per ounce.
What’s 17% of 93 please help
Answer:
17% of 93 is 15.81
Step-by-step explanation:
Hope this helps you
Is the graph of \(4x+5y=\frac{3}{7}\) a line? Explain.
We can say that the graph of 4x+5y = 3/7 is a line because it can be represented by the straight line equation.
What exactly is a line equation?A straight line's general equation is y = mx + c, where m is the gradient and y = c is the value at which the line intersects the y-axis. This number c is known as the y-axis intercept.
How do you graph an equation using the slope and y-intercept?Calculate the y-intercept of the equation y = mx + b.Calculate the y-intercept. The main point will be (0, b).Calculate the slope=m of the equation y = mx + b.Use the rise and run from the slope to make a single step.Make a line connecting those two points.Given equation : 4x+5y = 3/7
The given equation can be written as
5y = -4x + 3/7
y = (-4/5)x + 3/35
This is a form of y = mx + c
It is a the equation of the straight line.
Therefore, we can say that the graph of 4x+5y = 3/7 is a line as it can be represented as the equation of the straight line.
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write the set A of natural numbers greater than three and not more than nine in two ways
Answer:
{4, 5, 6, 7, 8, 9}
\(\{ x \ | \ 3 < x \leq 9 \}\)
\(\{ x \ | \ 4 \leq x \leq 9 \}\)
Step-by-step explanation:
See above.
Answer:
{ 4,5,6,7,8,9 }
{ x: 3 < x ≤ 9 }
Step-by-step explanation:
I hope the notations speak for themselves.
Please prove this!!!!
Answer: see proof below
Step-by-step explanation:
Use the following Sum/Difference Identities:
sin(A + B) = sin A · cos B + sin B · cos A
sin(A - B) = sin A · cos B - sin B · cos A
Use the following Half-Angle Identities:
\(\sin\bigg(\dfrac{\theta}{2}\bigg)=\dfrac{\sqrt{1-\cos \theta}}{\sqrt2}\\\\\\\cos\bigg(\dfrac{\theta}{2}\bigg)=\dfrac{\sqrt{1+\cos \theta}}{\sqrt2}\)
\(\text{Use the Unit circle to evaluate:}\ \cos\dfrac{\pi}{4} = \sin\dfrac{\pi}{4} = \dfrac{\sqrt2}{2}\)
Use the following side work:
\(\sin\bigg(\dfrac{\pi}{8}\bigg)=\sin\bigg(\dfrac{\frac{\pi}{4}}{2}\bigg)=\dfrac{\sqrt{1-\cos \frac{\pi}{4}}}{\sqrt2}=\dfrac{\sqrt{2-\sqrt2}}{2}\\\\\\\cos\bigg(\dfrac{\pi}{8}\bigg)=\cos\bigg(\dfrac{\frac{\pi}{4}}{2}\bigg)=\dfrac{\sqrt{1+\cos \frac{\pi}{4}}}{\sqrt2}=\dfrac{\sqrt{2+\sqrt2}}{2}\)
Proof LHS → RHS
\(\text{LHS:}\qquad \qquad \qquad \qquad \qquad \sin^2\bigg(\dfrac{\pi}{8}+\dfrac{A}{2}\bigg)-\sin^2\bigg(\dfrac{\pi}{8}-\dfrac{A}{2}\bigg)\\\\\text{Sum/Difference Identity:}\qquad \bigg(\sin\dfrac{\pi}{8}\cdot \cos \dfrac{A}{2}+\sin \dfrac{A}{2}\cdot \cos \dfrac{\pi}{8}\bigg)^2\\\\.\qquad \qquad \qquad\qquad \qquad \quad -\bigg(\sin\dfrac{\pi}{8}\cdot \cos \dfrac{A}{2}-\sin \dfrac{A}{2}\cdot \cos \dfrac{\pi}{8}\bigg)^2\)
\(\text{Expand and Simplify:}\qquad \quad 4\sin \dfrac{\pi}{8}\cdot \cos\dfrac{A}{2}\cdot \sin \dfrac{A}{2}\cdot \cos \dfrac{A}{2}\\\\\\\text{Substitute:}\qquad \qquad \qquad 4\bigg(\dfrac{\sqrt{2-\sqrt2}}{2}\bigg)\cdot \cos \dfrac{A}{2}\cdot \sin \dfrac{A}{2}\bigg(\dfrac{\sqrt{2+\sqrt2}}{2}\bigg)\\\\\\\text{Simplify:}\qquad \qquad \qquad \sqrt2\cos \bigg(\dfrac{A}{2}\bigg)\cdot \sin \bigg(\dfrac{A}{2}\bigg)\)
\(\text{Half-Angle Identity:} \quad \sqrt2\bigg(\dfrac{\sqrt{1+\cos A}}{\sqrt2}\bigg)\bigg(\dfrac{\sqrt{1-\cos A}}{\sqrt2}\bigg)\\\\\\\text{Simplify:}\qquad \qquad \qquad \dfrac{\sqrt{1-\cos^2 A}}{\sqrt2}\\\\\\.\qquad \qquad \qquad \qquad =\dfrac{\sqrt{\sin^2 A}}{\sqrt2}\\\\\\.\qquad \qquad \qquad \qquad =\dfrac{\sin A}{\sqrt2}\)
\(\text{LHS = RHS:}\quad \dfrac{\sin A}{\sqrt2} = \dfrac{\sin A}{\sqrt2}\quad \checkmark\)
The point p(x, y) lies on the terminal side of an angle theta = startfraction 3 pi over 4 endfraction in standard position. what are the signs of the values of x and y? both x and y are positive. both x and y are negative. x is positive, and y is negative. x is negative, and y is positive.
The 'x' coordinate is negative and 'y' coordinate is positive.
What is Fraction ?A fraction is a part of a whole. In arithmetic, the number is expressed as a quotient, in which the numerator is divided by the denominator. In a simple fraction, both are integers. A complex fraction has a fraction in the numerator or denominator. In a proper fraction, the numerator is less than the denominator.
We know that :
π = 180
Therefore,
3π/4 = (3×180)/4 = 3 × 45
3π/4 = 135
In second quadrant, we have negative value if x coordinate and positive value of y coordinate.
Hence, the angle lies in the second quadrant. Second quadrant is enclosed by the negative x axis and positive y axis.
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Answer:
x is negative, and y is positive.
Step-by-step explanation:
The answer above is correct.
Which system of linear inequalities is represented by the graph?
y > x – 2 and y < x + 1
y < x – 2 and y > x + 1
y < x – 2 and y > x + 1
y > x – 2 and y < x +
The system of linear inequalities is represented by the graph is y > x – 2 and y < x + 1.
What is inequality?A statement of an order relationship-greater than, greater than or equal to, less than, less than or equal to- between two numbers or algebraic equations.
The given options are,
y > x – 2 and y < x + 1
y < x – 2 and y > x + 1
y < x – 2 and y > x + 1
y > x – 2 and y < x + 1
Since,
The linear equation of a straight line is
y = mx + c,
where m is the gradient or slope, and
y = c is the value where the line cuts the y-axis.
The formula for slope of line with points (x1,y1) and (x2,y2) can be expressed as,
m = (y2 - y1) / (x2 - x1)
Now from y > x – 2 and y < x + 1
the first line passes through (0, 1) and (0, -1)
So,slope m = (0 - 1) / (0 - 1)
⇒ m = 1
Now the line intercept y-axis at (1, 1)
So, c = 1
So,equation of line is given as,
y < x + 1
the second line passes through (0, 2) and (0, -2)
So,slope m = (0 - 2) / (0 - 2)
⇒ m = 1
Now the line intercept y-axis at (-2, 0)
So, c = -2
So,equation of line is given as,
y < x - 2
So, we get y > x – 2 and y < x + 1.
Thus, the system of linear inequalities is represented by the graph is y > x – 2 and y < x + 1.
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The missing graph of the question is attached.
1.The formula D=7e-0.04h can be used to find the number of milligrams D of a certain drug in a patient's bloodstream h hours after the drug has been given. When the number of milligrams reaches 3, the drug is to be given again. What is the time between injections?2.Answer the question by writing and solving an exponential equation. Show algebraic work.$3876 is deposited into a savings account at 7% interest, compounded monthly. To the nearest year, how long will it take for the account balance to reach $1,000,000?
To find the time between injections of a certain drug, we can use the formula D=7e^(-0.04h), where D represents the number of milligrams in the patient's bloodstream after h hours.
1. For the first question, we can set D=3 in the given formula and solve for h. By substituting D=3 into the equation D=7e^(-0.04h), we can find the value of h, which represents the time between injections.
2. For the second question, we need to solve an exponential equation to determine the time it takes for the savings account balance to reach $1,000,000. We can use the formula for compound interest A=P(1+r/n)^(nt), where A is the final amount, P is the principal amount, r is the interest rate, n is the number of times interest is compounded per year, and t is the time in years. By substituting the given values into the equation, we can solve for t, rounding the result to the nearest year.
It is important to note that in both cases, the calculations involve mathematical formulas and equations that can be solved using algebraic techniques and appropriate substitutions of values.
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Peter has a 25 acre field. He 20.5 acres with sweet corn . What fraction of his field does Peter plant with sweet corn
Answer:
82%
Step-by-step explanation:
Multiply 25*4 to get 100.
Then multiply 20.5*4 because what you do to one side you have to do for the other.
You end up with 0.82 or 82%
Based on the length of the field and the amount of the field that was planted the fraction of the field planted is 4.1/5.
The field has a length of 25 acres and Peter plants in 20.5 acres of them.
The fraction that is planted is:
= Amount of field planted on / Total area of field
Solving will give:
= 20.5 / 25
Take to the simplest form by dividing both by 5:
= 4.1 / 5
In conclusion, the fraction planted on is 4.1/ 5.
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Select the expression that matches the scenario correctly. On January 1, the high temperature was 81 F in Kona, Hawaii the low temperature was -29 F in Barrow, Alaska. What was the difference between the two temperatures?
A. -29 + 81
B. |89 - 21|
C. |81 - (-29)|
D. 36 divided 6
The difference between the two temperatures is mathematically given as
|81 - (-29)| Option C
This is further explained below.
What was the difference between the two temperatures?Generally, the equation is mathematically given as
h-l=d
Therefore
81-(-29)=d
81+29=d
d=110
In conclusion,, in magnitude form
|81 - (-29)|=|81 +29|=|110|=110
|81 - (-29)|
Option C is correct
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4 (4x - 4 ) + 2 x + 4 = -46
Answer:
x= -17/9
Step-by-step explanation:
hope this helps!!!
Answer:
x=1.888....
Step-by-step explanation:
4 (4x - 4 ) + 2 x + 4 = -46
16x-16+2x+4=-46
18x-12=-46
+12 on both sides
18x=-34
x=1.888....
say you randomly select americans until you find one who is married. how many americans would you expect to select in order to find your first married respondent? round to two decimal places.
On average, you would expect to select approximately 1.90
Americans in order to find your first married respondent. This is because according to the U.S. Census Bureau, the national marriage rate in 2018 was 6.9 per 1,000 individuals, which is equivalent to 0.69% of the population being married.
Therefore, if we assume the population of Americans is uniformly distributed, the probability of randomly selecting a married American is 0.69%. Consequently, the expected number of trials necessary to select a married respondent is 1/0.0069 = 1.90.
To calculate this, we used the probability formula for a single trial: P(X) = N/S, where P(X) is the probability of success, N is the number of successes, and S is the number of trials.
Therefore, by substituting the number of successes (1) and the probability of success (0.0069) into the formula, we can determine the expected number of trials necessary to select a married respondent (1/0.0069 = 1.90).
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Yellow Cab Taxi charges a $1.75 flat rate in addition to $0.65 per mile. Katie has no more than $10 to spend on a ride. inequality
Answer:
Step-by-step explanation:
0.65x + 1.75 ≤ 10
0.65x ≤ 10 - 1.75
0.65x ≤ 8.25
x ≤ 8.25/0.65
x ≤ 12.692308
The executive chef is in charge of the food quality and does not need to worry about sanitation issues such as pest control.
False
True
Answer:
False
Step-by-step explanation:
Picture attached below
Answer:
true
Step-by-step explanation:
hope this helps have an amazing day!
Answer:
T
Step-by-step explanation:
hope it help
Is direct variation the same as slope?
Answer:
Step-by-step explanation:
A direct variation is a linear relationship between variables so they have a constant ratio. It is a special case of the slope-intercept form y =mx +b, where b = 0.
8y- 10 =
What is y ?
What is the measure of _____?
Answer:
53°Step-by-step explanation:
Angle ABE = 90°
Angle CBE = 37° (opposite angle)
90 - 37 = 53°
The first thing you must consider in any type of communication is ______.
a.
The type of communication
b.
The style of communication
c.
The purpose of the communication
d.
The timing of the communication
Please select the best answer from the choices provided
A
B
C
D
Answer:
C
Step-by-step explanation:
You need something to talk about
Answer its C
Step-by-step explanation:
Use the marginal tax rate chart to answer the question. Tax Bracket Marginal Tax Rate $0–$10,275 10% $10,276–$41,175 12% $41,176–$89,075 22% $89,076–$170,050 24% $170,051–$215,950 32% $215,951–$539,900 35% > $539,901 37% Determine the effective tax rate for a taxable income of $180,900. Round the final answer to the nearest hundredth.
19.50%
20.00%
21.11%
32.00%
For a taxable income of $1,80,900, the effective tax rate is 21.11%.
what is meant by marginal tax?Marginal tax is the tax rate applied to an individual’s last dollar of income. It is the additional tax that must be paid on any additional income earned. In other words, it is the tax rate that applies to an individual’s income after all deductions. For example, if an individual’s income is $50,000 and the marginal tax rate is 25%, then the individual must pay an additional $12,500 in taxes on top of the $25,000 in taxes already paid on their $50,000 income.
Marginal tax rates are progressive, meaning that as an individual’s income increases, the marginal tax rate will increase as well. The marginal tax rate is important to understand because it helps individuals determine how much additional income they will need to earn in order to make up for the taxes they will have to pay on that income. It is also important to understand how marginal tax rates can affect tax planning strategies.
To determine the effective tax rate for a taxable income of $180,900, calculate the sum of the marginal tax rates for each tax bracket that the $180,900 falls into. The taxable income of $180,900 is greater than $89,075 and less than $170,050. The marginal tax rates for these two tax brackets are 22% and 24%, respectively. The sum of the marginal tax rates is 46%. Divide the sum by the taxable income of $180,900 to get the effective tax rate of 21.11%. Round the final answer to the nearest hundredth to get 21.11%.
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Marco ran 7 miles in 50.4 minutes. If he ran at the same pace the whole time, how long did it take him to run 1 mile?
Answer:
7.2 min
Step-by-step explanation:
50.4 / 7 = 7.2 min
Which property of exponents must you apply to the expression p1/2 derive p as the result?
To derive p as the result, we apply the power of a power rule by taking the square root of p.
To derive the value of p from the expression p^(1/2), we need to apply the property of exponents known as the "power of a power" rule.
The power of a power rule states that when we have an exponent raised to another exponent, we can multiply the exponents. In this case, we have p raised to the power of 1/2, which can be written as p^(1/2).
To simplify this expression and derive the value of p, we can rewrite the exponent 1/2 as a square root (√). So, p^(1/2) is equivalent to the square root of p (√p).
Therefore, to derive p as the result, we apply the power of a power rule by taking the square root of p.
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Emily works at a local restaurant. She made $200 in tips last night. She shared 15 percent of her tips with the crew that cleans the tables. How much did she give to the clean-up crew?
$
A percentage is a way to describe a part of a whole. The amount Emily shared is $30.
What are percentages?A percentage is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25 which is equal to 25%.
To convert a fraction to a percentage, convert the fraction to decimal form and then multiply by 100 with the '%' symbol.
Emily works at a local restaurant. She made $200 in tips last night. She shared 15% of her tips with the crew that cleans the tables. The amount Emily shared is,
15% of $200
= 0.15 × $200
= $30
The amount Emily shared is $30.
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A submarine is descending to examine the seafloor 2,100 feet below the surface. It takes the submarine 2 hours to make this descent. Write an equation to represent the relationship between the submarine elevation and time (WRITE AN EQUATION NOT ANSWER EQUATION
Let "e" be the elevation of the submarine and "t" be the time taken to descend.
Then, the equation representing the relationship between the submarine elevation and time is:
e = -105t + 2100
where the coefficient of "t" (-105) represents the rate of descent of the submarine, and the constant term (2100) represents the initial elevation of the submarine.
Of the 300 students at Central Middle School, 20% are on the honor roll.
How many students are NOT on the honor roll?
Which equation describes the line that is perpendicular to 2x−3y=−6
Answer: -1/2x
Step-by-step explanation:
You didn't provide any other lines, but the formula is:
cy=-1/2x+b, so as long as the slope is -1/2, than its perpendicular.
Joan and Shannon go to the movies and buy refreshments for their friends. Joan spends $26 on 3 drinks and 4 bags of popcorn. Shannon spends $37 on 6 drinks and 5 bags of popcorn. How much was each bag of popcorn?
A. $2
B. $3
C. $4
D. $5
E. $6
Can somebody please help me with this? I don't really understand how to do it.
Answer:
Step-by-step explanation:
\(\sqrt{7^2+15}\) because for the 15 the square root and squared cancel. then simplified \(\sqrt{64}\) or 8
What is the area of the shaded section?
Answer:
270cm squared
area of shaded part rectangle is 180
are of triangle is 48 and 42 respectively you add the three to get 270