Answers
Answer:
5, -35, 3.75, 4a + 4b + 5
Step-by-step explanation:
1. f(0) = 3(0)^2 - 2(0) + 5 = 5
2. f(-4) = 3(-4)^2 - 2(-4) + 5 = -35
3. f(-1/2) = 3(-1/2)^2 - 2(-1/2) + 5 = 3.75
4. f(a+b) = 3(a+b)^2 - 2(a+b) +5 = 4a + 4b + 5
3(a+b)(a+b) - 2a -2b + 5
6a + 6b -2a -2b +5
4a + 4b + 5
I think
Related Questions
1 + 1 please also explain as much as possible
Answers
This is because if you take 1 Apple and then somehow convince someone to give you another one, you would then have 2 apples.
Answer: 2
Step-by-step explanation:
Please open this:
Please please please please please please please please please help me I don’t know this question asking questions like this like I’m in high school
Answers
Answer:
Multiplication -- > 6 × 3 - 8
Division --> (4 + 3)/2
Subtraction --> 4 - 5 + 7
Addition --> 15 + 8 ÷ 4 - 6
(-4,1), (-7,-8) find the distance between these pairs round go the nearest tenth
Answers
Answer: 9.4
Step-by-step explanation:
URGENT!!⚠️
a local record store invested $400,000 in charitable trust fund so that they can offer scholarships to their employees. the interest rate is 4.2% compounded quarterly. how much interest is available from the trust fund for the scholarships each year?
Answers
Answer:
I am here to help!
Step-by-step explanation:
if it's each year won't the company have 168k?
Solve w^2=36 where is a real number. Simplify your answer as much as possible.
Answers
Answer:
w = 6 (or) w = -6
Step-by-step explanation:
Let's solve the problem,
→ w² = 36
→ w = √36
→ w = + 6
→ w = 6 (or) w = -6
Thus, the answer is 6 & -6.
If sin theta= 1/4 and theta is acute, find tan
(pi/2- theta).
Answers
Answer:
3.8723
Step-by-step explanation:
[tex]sin(\theta) = \frac{1}{4}[/tex]
So [tex]\theta = sin^{-1}(\frac{1}{4}) = 0.25268[/tex] radians or [tex]14.48^{\circ \:}[/tex]
[tex]\frac{\pi}{2}} \text\;in\;radians=90 ^{\circ}[/tex]
[tex]\text{So\;} \frac{\pi}{2} - \theta = 90 - 14.48 = 75.52^{\circ}[/tex]
[tex]\tan(\frac{\pi}{2}-\theta) = \tan(75.52) = 3.8723[/tex]
The revenue function for a real estate agency is based on a percentage of the amount of monthly sales made by agents. The cost function for the agency is based on the commissions, paid to the agent plus the fixed monthly costs. both functions are shown below where X is the dollar amount of the monthly sales made by agents.
• Revenue function: f (x) = 0.03
• Cost function: g (x) = 0.015x + 4,600
The agency will break, even when the revenue function is equal to the cost function. For the agency to break even, what amount of monthly transactions, in dollars, must be generated by its agents?
• Between $0 and $2000
• Between $4,500 and $4,700
• Between $153,000 and $155,000
• Between $305,000 and $307,000
Answers
Answer:
D. Between $305,000 and $307,000
Step-by-step explanation:
A. This is a result of finding 4,600(0.03 + 0.015).
B. This is a result of using the y-intercept for the cost function.
C. This is a result of incorrectly solving the equation 0.03x = 0.015x + 4,600 by dividing 4,600 by 0.03
instead of 0.015 in the final step.
D. This is a result of correctly solving the equation 0.03x = 0.015x + 4,600 ⇒ 0.015x = 4,600 then dividing
4,600 by 0.015 to get approximately 306,667.
Apply Servers at a snack shop use the table below to find the total cost for frozen
yogurt, but some of the numbers have worn off. The total cost is proportional to the
number of cups of frozen yogurt. Find the missing numbers in the table.
Number of Cups of Frozen Yogurt
Total Cost ($)
1
2
3
4
18.00
Answers
Answer:
totaAal cost is 18
Step-by-step explanation:
which is the least severe from of heat illness
A.) heat cramps
B.) heat exhaustion
C.) heat fatigue
D.) heat stork
the answer is (A heat cramps)
Answers
Answer:
heat cramps
Step-by-step explanation:
Use compatible numbers to estimate the whole number quotients 5320/61?
Answers
The whole number quotients of the expression; 5320/61 as required to be evaluated in the task content is; 88.
What is the best estimate of the whole number quotients of the expression; 5320/61 as given in the task content?It follows from the task content that the use of compatible numbers is to be used to estimate the whole number quotients 5320/61.
On this note, since the numbers can be written as follows;
= (53.2 × 100)/(0.61 × 100)
= 53.2/0.61
The estimate can therefore be determined by evaluating;
= 53/0.6
= 88 remainder 1.
Therefore, the closest estimate of the whole number quotients 5320/61 as given in the task content is; 88.
Ultimately, the whole number quotients of the expression; 5320/61 as required to be evaluated in the task content is; 88.
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K
Order the numbers below from least to greatest.
1
2-3√6, -7,34
Choose the correct answer below.
O A.
2₁
7
OB. 7
O C. -3,
OD. -3,
7
4'
-
3.4, √6,-3
3.4, √6
7 1
42 √6,3.4
7 1
42.3.4, √6
Answers
Answer:
the anwser is B
Step-by-step explanation:
B is the best option choice given
Answer:
1. -7, -3, square root of 6, 2, 34
Step-by-step explanation:
Sin^-1(x) when x=0.3
Solve by using limits (h—>0)
Answers
Answer:
please rate as brainliest
Write the following number in decimal notation.
Four hundred twenty-seven thousandths
Answers
Writing Four hundred twenty-seven thousandths in decimal notations gives 0.0000023419
How to write Four hundred twenty-seven thousandths in decimal notationGiven data
Four hundred twenty-seven thousandths
Four hundred twenty-seven thousand is written in figures as follows
400 000 + 20 000 + 7 000 = 427000
Four hundred twenty-seven thousandths = 1 / 427000
using calculator gives
= 2.3419 * 10^-6 ( in standard form )
= 0.0000023419 ( in decimal notation)
what is decimal notations?This a term in mathematics used to refer to a way of rewriting numbers in fractions to decimal form. it consists of a value and a point, then the required numbers.
The point is called decimal point. Decimal notations is not used only for numbers less than one. So are numbers in fractions, numbers in decimal may be greater than one. However the question refers to number that is less than one.
The given number: Four hundred twenty-seven thousandth is written in fraction as: 1 / 427000
then from fraction we write the decimal notation using calculator or long division to get 0.0000023419.
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Evaluate each expression if x is 2/5, y is -4, and z is -0.2. Then match each expression with the correct answer.
A) 1x + y + z
B) 1 x + y + z
C) 2(y)(x)
D) 2 (y)(x)
E) 32x - z
F) 3 2x - z
G) 4x + y
Answers
The expressions evaluated for the given values of x, y, and z, and matched to the values are
1x + y + z → -3.8
2(y)(x) → -3.2
32x - z → 13
4x + y → -2.4
Evaluating an expressionFrom the question, we are to evaluate the given expressions for the given values of x, y and z
The given values of x, y, and z are
x = 2/5, y = -4, and z = -0.2
A. 1x + y + z
1(2/5) + (-4) + (-0.2)
2/5 - 4 - 0.2
0.4 - 4 - 0.2
= -3.8
C) 2(y)(x)
2(-4)(2/5)
-8(0.4)
= -3.2
E) 32x - z
32(2/5) - (-0.2)
32(0.4) + 0.2
12.8 + 0.2
= 13
G) 4x + y
4(2/5) + (-4)
4(0.4) - 4
1.6 - 4
= -2.4
Hence, the expressions evaluated for the given values of x, y, and z, and matched to the values are
1x + y + z → -3.8
2(y)(x) → -3.2
32x - z → 13
4x + y → -2.4
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Let [tex] \rm\hat{i}, \hat{j} \: and \: \hat{k} [/tex] be the unit vector along the three positive coordinate axes. Let [tex] \rm\overset{ \to}a = 3 \hat{i} + \hat{j} - \hat{k} ,\\ \rm \overset{ \to}b = \hat{i} + b_{2} \hat{j} + b_3\hat{k}, \: \: \: \: \: \: \: b_{2}, b_{3} \in \mathbb{R}, \\ \rm\overset{ \to}c= c_{1} \hat{i} + c_{2} \hat{j} + c_3\hat{k}, \: \: \: \: \:c_{1},c_{2}, c_{3} \in \mathbb{R}[/tex]
be three vectors such that [tex] \rm b_2b_3 > 0, \overset{ \to}a \cdot\overset{ \to}b = 0[/tex] and [tex] \left(\begin{gathered} 0& \rm - c_{3} & \rm c_{2} \\ \rm c_{3}& \rm 0 & \rm - c_{1} \\ \rm - c_{2}& \rm c_{1} & \rm 0 \end{gathered} \right) \left(\begin{gathered} 1 \\ \rm b_{2} \\ \rm b_3\end{gathered} \right) = \left(\begin{gathered} \rm3 - c_{1} \\ \rm 1 - c_{2} \\ \rm - 1 - c_3\end{gathered} \right)[/tex]
Then which of the following is true
[tex] \rm(1) \: \overset{ \to}a \cdot\overset{ \to}c = 0 \\ \rm(2) \: \overset{ \to}b \cdot\overset{ \to}c = 0 \\ (3) \: \overset{ \to}{| \rm b|} > \sqrt{10} \\(4) \: \overset{ \to}{| \rm c|} \leq \sqrt{11}[/tex]
Answers
Computing the matrix product in the last condition gives a system of linear equations in the components of [tex]\vec c[/tex],
[tex]\begin{cases} c_1 + b_3c_2 - b_2c_3 = 3 \\ -b_3c_1 + c_2 + c_3 = 1 \\ b_2c_1 - c_2 + c_3 = -1 \end{cases}[/tex]
and is easily solvable to get
[tex]c_1 = \dfrac{6-2b_3}{2+{b_2}^2+{b_3}^2}, c_2 = \dfrac{2+3b_3}{2+{b_2}^2+{b_3}^2}, c_3 = \dfrac{9-3b_3}{2+{b_2}^2+{b_3}^2}[/tex]
or, using the condition [tex]\vec a\cdot\vec b = 3 + b_2 - b_3 = 0[/tex],
[tex]c_1 = -\dfrac{2b_2}{11 + 6b_2 + 2{b_2}^2}, c_2 = \dfrac{11+3b_2}{11+6b_2+2{b_2}^2}, c_3 = -\dfrac{3b_2}{11+6b_2+2{b_2}^2}[/tex]
• (1) is false, since
[tex]\vec a \cdot \vec c = \dfrac{11}{2 + {b_2}^2 + {b_3}^2} \neq 0[/tex]
because [tex]{b_2}^2+{b_3}^2\ge0 \implies 0<\vec a\cdot\vec c\le\frac{11}2[/tex].
• (2) is true.
[tex]\vec b\cdot \vec c = \dfrac{(3 + b_2 - b_3) (2 + 3b_3)}{2 + {b_2}^2 + {b_3}^2} = \dfrac{(\vec a\cdot\vec b)(2+3b_3)}{2+{b_2}^2+{b_3}^2} = 0[/tex]
• (3) is false. The magnitude of [tex]\vec b[/tex] could be smaller than √10.
Since [tex]\vec a\cdot\vec b=0[/tex], we have
[tex]\|\vec b\| = \sqrt{1 + {b_2}^2 + (3+b_2)^2} = \sqrt{10 + 6b_2 + 2{b_2}^2}[/tex]
and
[tex]2{b_2}^2 + 6b_2 = 2\left({b_2}^2 + 3b_2 + \dfrac94\right) - \dfrac{18}4 = 2\left(b_2 + \dfrac32\right)^2 - \dfrac92 \ge - \dfrac92[/tex]
which is to say, [tex]\|\vec b\| \ge \sqrt{10-\frac92} = \sqrt{\frac{11}2}[/tex].
• (4) is true.
We have
[tex]\|\vec c\| = \dfrac{\sqrt{11} \sqrt{11 - 6b_3 + 2{b_3}^2}}{2 + {b_2}^2 + {b_3}^2}[/tex]
In terms of [tex]b_2[/tex] alone,
[tex]\|\vec c\| = \dfrac{\sqrt{11}\sqrt{11 + 6b_2 + 2{b_2}^2}}{11+6b_2+2{b_2}^2} = \dfrac{\sqrt{11}}{\sqrt{11+6b_2+2{b_2}^2}}[/tex]
Now,
[tex]11 + 6b_2 + 2{b_2}^2 = 2\left(b_2+\dfrac32\right)^2 + \dfrac{13}2 \ge \dfrac{13}2[/tex]
which means
[tex]\|\vec c\| \le \dfrac{\sqrt{11}}{\sqrt{11 + \frac{13}2}} \le \sqrt{11}[/tex]
Solve these absolute value equations.
18. |3р + 7| = 6p
Answers
The absolute value of the given statement is a -3/7 and 3/7.
According to the statement
We have to find that the value of the absolute equations.
So, For this purpose, we know that the
An absolute value function is a function that contains an algebraic expression within absolute value symbols.
From the given information:
|3р + 7| = 6p
And we know that the
If we want to solve equations with absolute values we must know we have to find the solution for both positive and negative values. This is because positive and negative values have a positive absolute value.
Then
|3р + 7| = 6p
6p - 3p = 7
3p = 7
Then
p = 3/7.
According to the absolute value the answer become -3/7 and 3/7.
So, The absolute value of the given statement is a -3/7 and 3/7.
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The cost of 4 tables and 3 chairs is $695. If the table costs $25 more than the chair, find the cost of a
table.
Answers
Answer:
110 bucks
Step-by-step explanation:
4t+3c=695
c=t-25
4t+3(t-25)=695
7t=770
t=110
Use what you know about scientific notation to write the number -20,000 with a power of 10.
- 20,000
- 20,000=
(Type your answer in scientific notation using the appropriate symbol from the math palette for any multiplication.)
Help me solve this View an example Get more help.
Review Progress
+
x
#
More
Question
Answers
The scientific notation to write the number -20,000 with a power of 10.
The scientific notation to write the number -20,000 with a power of 10 is -2 ×10⁴.
Given that
The number is -20,000To find
We have to find the scientific notation form of number -20,000So, according to the question
We have
The number = -20,000For finding the scientific notation form of given number, first we have to know about scientific notation with a power of 10.
Scientific notation with a power of 10
To write any number with the help of power of 10 in very easy way is telling Scientific notation with a power of 10 . Because in that universe there is a lots of smallest and largest number present, so we can't write every numbers in single page. To write that numbers in very easy way the scientists was create a way to write that numbers with the help of power of 10.
So, now we can convert that number in a form of Scientific notation.
n = -20,000
Now multiply [tex]\frac{10^4}{10^{4}}[/tex], we will get
n = -20,000 × [tex]\frac{10^4}{10^{4}}[/tex]
n = [tex]\frac{-20,000\times 10^4}{10000}[/tex]
n = - 2× 10⁴
The scientific notation with the power of 10 form of -20,000 is - 2× 10⁴.
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8) Which are not true.
a)
6.68> 6.8
b)
6.86 <6.88
c)
6.8 = 6.08
d)
6.6>6.08
e) 6.86> 6.8
f)
6.8<6.6
Answers
The given statement which are not true are a) , c) , and f)
we have to check whether the given statement is true or not
a) 6.68 > 6.8
6.68 can be written as 6+ 0.68 and 6.8 can be written as 6+ 0.8
then we have 6 both the sides , only need to compare 0.68 and 0.8
we know that 0.8 is greater than 0.68
that is 0.8> 0.68
so 6+0.8 > 6+0.68
hence 6.8 > 6.68
but we are given that 6.68 > 6.8 so the statement is not true
b) 6.86 < 6.88
we know 0.86 < 0.88
hence 6.86 < 6.88 statement is true
c) 6.8 = 6.08
0.8 is not equal to 0.08
therefore 6.8 is not equal to 6.08 and hence statement is not true
d) 6.6 > 6.08
true
e) 6.86 > 6.8
true
f) 6.8< 6.6
6.8 is greater than 6.6 so the statement is not true
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Y = mx + b solve for m
Answers
The equation solved for b gives b = Y - mx
What is subject of formula?A subject of formula can be defined as the the variable that is written in terms of other variables in an equation or expression.
It is also known as the variable that is being sorted out in a given expression or equation.
Example;
To make a the subject from the equation;
ab + c = 1
Take the variable 'c' to the other side
ab = 1 - c
Divide both sides by b, we have;
a = 1 - c/b
Given the expression;
Y = mx + b
Take 'mx' over the equality sign
Y - mx = b
This is also written as;
b = Y - mx
Thus, the equation solved for b gives b = Y - mx
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Type an essay response to the following prompt. Completely explain all parts of your response and use the rubric to determine what you need to include in your essay. Describe a real-world situation in which opposite quantities combine to make zero.
Answers
A real-world situation in which opposite quantities combine to make zero is that "John bought 4 oranges and gave his friend 4 oranges. How many does he have?
How to illustrate the information?It should be noted that the information is that we should real-world situation in which opposite quantities combine to make zero.
An example will be that John bought 4 oranges and gave his friend 4 oranges.
The number of oranges that he has left will be:
= 4 - 4
= 0
Therefore, the combination gives zero.
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HELPPPPPPPP!!!!! 50 POINTS!
Answers
Answer:
a, b, a/2, b/2
Step-by-step explanation:
The coordinates of C are (a,b).
You find the midpoint by taking the averages of the coordinates.
The third blank is a/2.
The fourth blank is b/2.
Answer:
a, b, a/2, b/2
Step-by-step explanation:
Sohan and his sister ate 2/5 of 25 chocolates. How many chocolates they didn't eat?
Answers
3 times 5 is 15
They still have 15 chocolates left
4 is a rational number because it can be written as the fraction 4/1. True of false?
Answers
Answer:
true
Step-by-step explanation:
Tn=2[n-1]-5 find t14
Answers
habbsbzbzbzbzbbzbBbbababsbsbsbsbsbs
ASAP not that hard for 15 points
Answers
Answer:
24
Step-by-step explanation:
When 2 gallons of gasoline is added the tank goes from 1/6 full to 1/4 full. So the equation is:
2 = (1/4 - 1/6)x
2 = (1/12)x
x = 24
Total capacity of the tank is 24 gallons.
1. An oil tank has a circular cross section of radius 2.1 metres. It is filled to a depth of 3.4 metres. a) Calculate x, the width in metres of the oil surface. 3-4 m b) What other depth of oil would give the same surface width? 2.1m
Answers
Answer:
Step-by-step explanation:
A) We can find half of the width of the surface by applying pythagorean theorem on the right angled triangle formed by three points which are the center of the circle, the point on the circle where the the endpoints of the width and the radius meet, and the midpoint of the width.
let radius=r, width=w
[tex]r^2=(w/2)^2+(3.4-2.1)^2\\[/tex], since the distance between the origin and the midpoint of the width is 3.4m-2.1m.
[tex]-(w/2)^2=(3.4-2.1)^2-r^2, r=2.1\\-(w/2)^2=(1.3)^2-(2.1)^2\\-(w/2)^2=1.69-4.41\\-(w/2)^2=-2.72\\w/2=\sqrt{2.72}\\w=2*\sqrt{2.72}\\w=3.3 meter[/tex]
B) we can find the other depth of oil which can give the same surface area of oil if the now empty part of the cylinder is filled with oil and the now filled part of the cylinder is empty, so the other possible depth for the same surface area of oil is the diameter of the circle minus 3.4 meters:
diameter=4.2 meter, 4.2 meter-3.4 meter:
0.8 meter depth
a. The width (x) of the oil surface is approximately 5.348 meters.
b. Another depth of oil that would give the same surface width (x ≈ 5.348 meters) is approximately 3.402417 meters.
a) Here, we have to calculate the width (x) of the oil surface, we need to find the length of the chord of the circular cross-section at the top of the oil tank.
We can use the formula for the length of a chord in a circle when the depth and radius are known.
Given that the radius (r) of the circular cross-section is 2.1 meters and the depth (d) of the oil is 3.4 meters, the width (x) can be calculated as follows:
x = 2 * √(r * d)
x = 2 * √(2.1 * 3.4)
x = 2 * √(7.14)
x ≈ 2 * 2.674
x ≈ 5.348 meters
So, the width (x) of the oil surface is approximately 5.348 meters.
b) Now, let's find the other depth of oil that would give the same surface width (x = 5.348 meters).
We can rearrange the formula to solve for the depth (d):
x = 2 * √(r * d)
Divide both sides by 2:
x/2 = √(r * d)
Square both sides:
(x/2)² = r * d
Now, plug in the given values (x = 5.348 meters and r = 2.1 meters) and solve for d:
(5.348/2)² = 2.1 * d
2.674² = 2.1 * d
7.145076 = 2.1 * d
Divide by 2.1:
d ≈ 7.145076 / 2.1
d ≈ 3.402417
So, another depth of oil that would give the same surface width (x ≈ 5.348 meters) is approximately 3.402417 meters.
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I watched ad still does not let me see answer!
Answers
Answer:
That's unfortunate. :(
True or false: An equation in the form of A x + B y = C , where A ≥ 0 , A and B are not both zero, and A, B, and C are integers with a greatest common factor of 1 can represent either a linear or nonlinear function.
Answers
Answer:
True
Step-by-step explanation:
This will always be the equation of a line, which represents a linear function.
transistors are used to build computer chips. The size of the earliest transistors
Answers
The number of times that the old transistor is bigger than the new ones in the computer is 1 × 10^6.
How to illustrate the information?It should be noted that the the side of the earliest form of transistors for computer was 1 × 10⁴.
Now, the size of the transistor today was illustrated as 1 × 10^-².
Therefore, the difference in size will be about:
= 1 × 10⁴ / 1 × 10^-²
= 1 × 10^6
Therefore, the number of times that the old transistor is bigger than the new ones in the computer is 1 × 10^6.
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