We need to solve the following equation for x:
[tex]8x=-44[/tex]To isolate x, we divide both sides
Working alone, it takes Kristen 10.2 hours to harvest a field. Kayla can harvest the same field in 16.5 hours. Find how long it would take them if they worked together.
ANSWER:
13.35 hours
EXPLANATION:
Given:
Time Kristen takes to harvest = 10.2 hours
Time Kayla takes to harvest = 16. 5 hours
Let X represent the time it would take them to work together.
Here, to find the time it would take them if they worked together, let's find their mean time, using the formula below:
[tex]X\text{ = }\frac{Time\text{ taken by kristen + Time taken by Kayla}}{2}[/tex][tex]\begin{gathered} X\text{ = }\frac{10.2\text{ + 16.5}}{2} \\ \\ X\text{ = }\frac{26.7}{2} \\ \\ X\text{ = }13.35\text{ hours} \end{gathered}[/tex]It would take them 13.35 hours if they worked together.
complete the two-column proof.
pleasee
∠2 ≅ ∠4 and m∠2 = 110°, and proved m<3 = 70⁰.
The answers of the blank lines are:
A . Vertically opposite angle.
B . Linear angle .
C . Hence proved .
Solution:Given ,
∠2 ≅ ∠4 and m∠2 = 110°.
We have to prove
m<3 = 70⁰
Here ,
m<2 = m<4 => They are vertically opposite angles.
And here ,
m<3 and m<4 are supplementary angles.
m∠3 + m∠4 = 180° => linear angle .
m<4 = 110⁰ => since m<2 = m<4
By substituting m∠4 we get,
m∠3 + m∠4 = 180°
= m∠3 + 110 = 180
= 180 - 110
m∠3 = 70°
Hence proved.
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Marty invested $7000 in treasury notes and stocks. The stocks paid 7% in the notes paid 8%, giving an annual income of $535. How much is invested into the treasury notes?
Answer:
3500
Step-by-step explanation:
split 7000 in half for stocks and treasury= 3500 each.
7 percent on 3500 is 3724, 7 percent of 3500 is 245 dollors. 535 x 7 is 3745 = 3500 invested in treasury.
Y = 17x - 8, y = 24x +6 Parallel Perpendicular Neither
Two parallel lines in the coordinate system share the same slope, this means that if you have two parallel lines:
[tex]\begin{gathered} y_1=m_1x_1+b_1 \\ y_2=m_2x_2+b_2 \\ \text{Their slopes must be equal:} \\ m_1=m_2 \end{gathered}[/tex]For the given equations, the slopes are:
[tex]\begin{gathered} y=17x-8 \\ m=17 \end{gathered}[/tex][tex]\begin{gathered} y=24x+6 \\ m=24 \end{gathered}[/tex]The slopes are different, so this lines are not parallel.
Two lines are perpendicular, when the slope of one of them is the negative inverse of the first one, this is for the perpendicular lines:
[tex]\begin{gathered} y_1=m_1x_1+b_1 \\ y_2=m_2x_2+b_2 \\ m_2=-\frac{1}{m_1} \end{gathered}[/tex]For the given equations, using y=17x-8 as reference, the slope of a line perpendicular to this one must be:
[tex]m_{}=-\frac{1}{17}[/tex]The slope of a perpendicular line to y=17x-8 is different from the slope of the second given line, so you can conclude that these lines are not perpendicular.
The correct choice is Neither
You have $1200 for your trip to the beach. You estimate that it will cost $160 a day for food, entertainment and hotel, plus $230 round trip airfare. Write an inequality that can be used to determine the maximum number of days you can stay at the beach. Clearly indicate what the variable represents. Then Solve the inequality, and interpret your answer in a complete sentence.
Explanation
Step 1
let x represents the numbers of days you can stay at the beach
then,
You estimate that it will cost $160 a day for food, entertainment and hotel, plus $230 round trip airfare.
so
[tex]\text{total}=230+160x[/tex]but, you have only $1200, so the total needs to be smaller or equal than 1200
[tex]230+160x\leq1200\rightarrow Inequality[/tex]Step 2
solve the inequality
[tex]\begin{gathered} 230+160x\leq1200\rightarrow Inequality \\ subtract\text{ 230 in both sides} \\ 230+160x-230\leq1200-230 \\ 160x\leq970 \\ \text{divide both sides by 160} \\ \frac{160x}{160}\leq\frac{970}{160} \\ x\leq6.0625 \\ \text{rounded} \\ x\leq6 \end{gathered}[/tex]it means you can stay maximum 6 days
I hope this helps you
Pls let me see the work!!
The recipe for the waffles presented using rational numbers are as follows;
1. The recipe for 2 waffles is as follows;
[tex] \displaystyle \frac{3}{5} [/tex] cups of flour
[tex] \displaystyle \frac{2}{15} [/tex] teaspoon of salt
[tex] \displaystyle \frac{4}{5} [/tex] teaspoons of baking powder
[tex] \displaystyle \frac{7}{20} [/tex] Cups of milk
[tex] \displaystyle \frac{1}{15} [/tex] Cup of butter
2. The recipe for 5 waffles is as follows;
[tex] \displaystyle 1\frac{1}{2} [/tex] cups of flour
[tex] \displaystyle \frac{1}{3} [/tex] teaspoon of salt
[tex] \displaystyle 2 [/tex] teaspoons of baking powder
[tex] \displaystyle \frac{7}{8} [/tex] Cups of milk
[tex] \displaystyle \frac{1}{6} [/tex] Cup of butter
3. The recipe for 300 waffles is as follows;
900 cups of flour
200 teaspoon of salt
1200 teaspoons of baking powder
525 Cups of milk
100 Cup of butter
4. The required number of waffle irons is 50
5. It would take approximately 6 servers
It would take 34 trips
What is a rational number?A rational number is one that can be expressed as a fraction.
From the given table, we have;
The recipe for 10 waffles includes;
3 cups of flour
[tex] \displaystyle \frac{2}{3} [/tex] teaspoon of salt
4 teaspoons of baking powder
[tex] \displaystyle 1\frac{3}{4} [/tex] Cups of milk
[tex] \displaystyle \frac{1}{3} [/tex] Cup of butter
1. To make 2 waffles, we have;
[tex] \displaystyle 2 = \frac{10}{5} [/tex]
Dividing each of the quantities required to make 10 waffles by 5 gives;
[tex] \displaystyle \frac{3}{5} [/tex] cups of flour
[tex] \displaystyle \frac{2}{3 \times 5} = \frac{2}{15} [/tex] teaspoon of salt
[tex] \displaystyle \frac{4}{5} [/tex] teaspoons of baking powder
[tex] \displaystyle \frac{1\frac{3}{4}}{5} = \frac{7}{20} [/tex] Cups of milk
[tex] \displaystyle \frac{\frac{1}{3}}{5} = \frac{1}{15} [/tex] Cup of butter
2. If each person gets 1 waffle, we have;
Number of waffles = 1 + 4 = 5
[tex] \displaystyle 5 = \frac{10}{2} [/tex]
Dividing the recipe for 10 waffles by 2 gives;
[tex] \displaystyle \frac{3}{2} = 1\frac{1}{2} [/tex] cups of flour
[tex] \displaystyle \frac{2}{3 \times 2} = \frac{1}{3} [/tex] teaspoon of salt
[tex] \displaystyle \frac{4}{2} = 2 [/tex] teaspoons of baking powder
[tex] \displaystyle \frac{1\frac{3}{4}}{2} = \frac{7}{8} [/tex] Cups of milk
[tex] \displaystyle \frac{\frac{1}{3}}{2} = \frac{1}{6} [/tex] Cup of butter
3. When each of 300 people can have one, the number of waffles is 300, which gives;
30 × 10 = 300
Multiplying the quantity of each ingredients required to make 10 waffles by 300 gives;
300× 3 = 900 cups of flour
[tex] \displaystyle 300 \times \frac{2}{3} = 200 [/tex] teaspoon of salt
300 × 4 = 1200 teaspoons of baking powder
[tex] \displaystyle 300 \times 1\frac{3}{4} = 525 [/tex] Cups of milk
[tex] \displaystyle 300 \times \frac{1}{3} = 100 [/tex] Cup of butter
4. Time it takes to cook a waffle = 10 minutes
Number of waffles required = 300
Time allowed = 1 hour = 60 minutes
The number of waffle iron is therefore;
[tex] \displaystyle {n = \frac{300 \times 10}{60} = 50} [/tex]
The number of waffle irons required is 50 waffle irons
5. Number of waffles each server can deliver = 9 waffles
The time it takes each server per trip = 10 minutes
Number of waffles to be delivered = 300
Time in which to deliver the 300 waffles = 1 hour
The number of servers is therefore;
[tex] \displaystyle {n = \frac{300}{9 \times 6} = 5. \overline 5 \approx 6} [/tex]
The number of trips is therefore;
5 servers will deliver 5×9×6 = 270
The sixth server will deliver the remaining 300 - 270 = 30 waffles in 30 ÷ 9 = 3.3 ≈ 4
The number of trips all together is therefore; 5×6 + 4 = 34 trips
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Two 50 foot tall radio towers are 3000 feet apart. Find the angle of depression from the top of one tower to the base of the other.
Answer:
Explanation:
The diagram representing the two towers is given below:
What is r + s + t when r = 25, s = –11, and t = –7?
Answer:
7
Step-by-step explanation:
a boat traveled 27miles in 2hours at this rate how many miles will the boat travel in 1/2 hours?
Answer:
6.75 miles
Step-by-step explanation:
27/2 = 13.5
27/4 = 6.75
27 miles in 2 hours
13.5 in 1 hour
6.75 in half an hour :)
Answer: 6.75 miles
Step-by-step explanation:27/4=6.75, I divided by 4 to get the half hour
Please help asap
this is an assignment due today please help real quick
no fake answers
Answer:
where???????????????
m(x) = | x + 1 |
Graph
The value of x = 1/M-1 , x = -1/M+1
What is Graph?
The graph of a function f is the set of ordered pairs where "displaystyle f(x)=y" exists. In the common scenario when x and f(x) are real integers, these pairings represent Cartesian coordinates of points in two-dimensional space and hence constitute a subset of this plane.
M(x) = |x + 1|
|x + 1| = M(x)
x + 1 = M(x)
x + 1 = -M(x)
Adding (-x) both side
x + 1 + (- x) = M(x) + (- x)
x + 1 + (- x) = -M(x) + (- x)
x + 1 - x = M(x) - x
x + 1 - x = -M(x) - x
1 = M(x) - x
1 = -M(x) - x
M(x) - x = 1
-M(x) - x = 1
x(M-1) = 1
x(-M-1) = 1
Dividing both side with (M - 1) and (-M - 1)
x(M-1)/(M - 1) = 1/(M - 1)
x(-M-1)/(-M - 1) = 1 /(-M - 1)
x = 1/(M - 1)
x = 1/(-M - 1)
Hence, x = 1/M-1 , x = -1/M+1
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Which expression is equivalent to the given expression? (+2+6)-(- 2+3) x +9 O A I O B. - } +3 O C. x+3 OD. - *+9
Answer:
The equivalent expression is;
[tex]\frac{5}{7}x+3[/tex]Explanation:
We want to simplify the expression;
[tex](\frac{1}{7}x+6)-(-\frac{4}{7}x+3)[/tex]we will first multiply the negative by every term in the bracket, then simplify by collecting the like terms.
[tex]\begin{gathered} \frac{1}{7}x+6-(-\frac{4}{7}x)-(+3) \\ \frac{1}{7}x+6+\frac{4}{7}x-3 \\ \text{collecting the like terms we have;} \\ \frac{1}{7}x+\frac{4}{7}x+6-3 \\ \frac{5}{7}x+3 \end{gathered}[/tex]Therefore, the equivalent expression is;
[tex]\frac{5}{7}x+3[/tex]Luke receives an electric bill of \$84.21$84.21dollar sign, 84, point, 21 for the month of April. The electric company charges \$0.14$0.14dollar sign, 0, point, 14 per kilowatt-hour (\text{kWh})(kWh)left parenthesis, start text, k, W, h, end text, right parenthesis of electricity. Given that April has 303030 days, about how many kilowatt-hours did Luke use per day during the month of April?
Choose 1 answer:
Given that April has 30 days, Luke used, on average, 20.05 kilowatt-hours of electricity per day during April.
What is average?The average is the mean value obtained by dividing the total value of a data set by the number of items.
In this situation, we can divide the total electric bill for April by 30 to obtain the average daily charge.
In addition, we can divide the average charge per day by the cost per kilowatt-hour to obtain the number of kilowatt-hours used per day.
The total electric bill for April = $84.21
The charge per kilowatt-hour (kWh) = $0.14
The number of days in April = 30
The bill per day = $2.807 ($84.21/30)
The kilowatt-hours per day = 20.05 kWh ($2.807/$0.14)
Thus, Luke used an average of 20.05 kilowatt-hours per day in April.
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After the expression (x10)^3/5 Is simplified as much as possible, x is raised to what exponent?
The exponent of x in the expression (x¹⁰)³⁺⁵ is 6.
What is an exponent?Exponent rules, commonly referred to as the "laws of exponents" or "properties of exponents," facilitate the task of simplifying exponent-based statements. These rules can help simplify formulas with exponents that are decimals, fractions, irrational numbers, or negative integers.
The mathematical process known as an exponent often indicates the power of a variable.
As of right now, we are aware that under the scenario of
[tex](x^{a})^{b} = x^{ab}[/tex]
Therefore, solve the power by multiplying 10 by 3/5, and we get
10 × (3/5)
=6
Thus, the expression simplified as
(x¹⁰)³⁺⁵ = x⁶
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Can someone help me figure out the 2 proofs for questions 1 and 3 and help me find what X and Y equal for question 2 if you can!! In geometry
Hello! We can prove this with some statements, look:
• Notice that CD is parallel to AB;
,• angle 1 ≅ angle 2
,• M is the midpoint of AB;
Statement 1:
[tex]\hat{\text{AMC}}\cong\hat{\text{BMD}}[/tex]Reasoning 1:
As M is the midpoint of AB and we have two similar lines starting in M, we can divide the angle M into two equal angles m1 and m2.
definition of midpoint
Statement 2:
[tex]\hat{C}=\hat{D}[/tex]Reasoning 2:
As we already know that angle 1 ≅ angle 2, let's calculate the sum of the angles C and D, look:
angle C:
90º + angle 1
angle D:
90º + angle 2
so, 90º + angle 1 ≅ 90º + angle 2, it means that angle C ≅ angle D.
Statement 3:
[tex]\hat{MAC}\text{ = }\hat{\text{MBD}}[/tex]Reasoning 3:
The sum of the internal angles of a triangle must be equal to 180º, right? So, knowing it we can say that angles A and B are equal, look:
m1 + A + C = m2 + B + D = 180º
remember, m1 ≅ m2 and C ≅ D, so A ≅ B too.
According to the explanation and image, we can prove that triangle CAM ≅ triangle DBM.
Table:
SOS PLEASE HELP QUICKLY WILL MARK BRAINLYIST
Submit a picture of your work to the assignment page:
its a two column proof
Prove: If two parallel lines are cut by a transversal then the alternate exterior angles are congruent. Do not use the alternate exterior angles theorem. Use a diagram and the corresponding angles theorem.
Proved that if two parallel lines are cut by a transversal then the alternate exterior angles are congruent.
What is the Exterior Angle of a Triangle Property?An exterior angle of a triangle is equal to the sum of the opposite interior angles.
By the property of alternate interior angles;
From the figure attached;
∠XWY ≅ ∠ZYW
The Property of the alternate angles states that if two parallel lines are cut by a transversal, then the alternate angles are congruent.
Here, ∠XWY and ∠ZYW shows the interior angles between the parallel lines and the transversal.
The interior alternate angles ∠XWY and ∠ZYW will be congruent.
Hence, Proved that if two parallel lines are cut by a transversal then the alternate exterior angles are congruent.
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I need help with the 2nd g(x) one please
13+14=3×f;f=9 helppp
Answer: 3x=13+14
3x=27
x=27/3
x=9
Step-by-step explanation: Maybe.
(8.59×10 4 )−(3.2×10 3 )
Answer:
The answer is 8.27×10^4
Answer: 8.27×10^4
Step-by-step explanation:
Point Mis a point of tangency.What is the value of x?446567111°230 x°88M
Answer:
The value of x is 65 degrees.
Explanation:
To solve for x, we use the formula for an angle formed by a tangent and a secant.
[tex]23=\frac{1}{2}(111-x)[/tex]Next, solve the equation for x:
[tex]\begin{gathered} 23\times2=111-x \\ 46=111-x \\ x=111-46 \\ x=65\degree \end{gathered}[/tex]The value of x is 65 degrees.
Explain each step in the space provided below.
Answer:
1) multiply and divide by 2 on right hand side
2) multiply by 24 on both sides ( LHS and RHS)
3) divide by -1 on both sides so that negative sign on RHS will be cancelled
Math
classify each polynomial below as monomial, binomial or trinomial
Answer:
1) trinomial
2) binomial
3) binomial
4) trinomial
5) monomial
Step-by-step explanation:
Monomial: 1 term
Binomial: 2 terms
Trinomial: 3 terms
Terms are separated by plus and minus signs.
1) trinomial
2) binomial
3) binomial
4) trinomial
5) monomial
Evaluate log2 10 using the change of base formula. Round your answer to the nearest thousandth.
Take into account the following property:
[tex]\log _ab=\frac{\log b}{\log a}[/tex]Then, for the given expression you have:
[tex]\log _210=\frac{\log10}{\log2}=\frac{1}{\log }\approx3.322[/tex]Hence, the answer is approximately 3.322
Which of the following is the correct factorization of the polynomial below?p3 - 21603O A. (0-360)(p? + 36pq + 692)O B. (p2 + 129) (03 + 36pq + 50%)O C. (2-6)(p2 + 6pq + 3602)O D. The polynomial is irreducible.
We have the polynomial:
[tex]p^3-216q^3[/tex]We have to factorize it.
We know that 216 is the cube of 6.
We then applied the property for the difference of cubes.
[tex]\begin{gathered} p^3-(6q)^3 \\ (p-6q)(p^2+p\cdot6q+(6q)^2) \\ (p-6q)(p^2+6pq+36q^2) \end{gathered}[/tex]The answer is Option C.
Difference of cubes property:
x^3-y^3 = (x-y)(x^2+xy+y^2)
A hockey player takes a shot 20 feet away from a 5-foot goal. If the puck travels at a 15° angle of elevation toward the center of the goal, will the player score?
EXPLANATION
Let's see the facts:
shoot = 20 feet
goal = 5 foot
Let's draw the statement:
Since we are finding the side opposite the given angle and know the side adjacent, we can use the Pythagoras Theorem to find the needed value.
[tex]\text{Tan=}\frac{Opposite}{\text{Adjacent}}[/tex]Replacing terms:
[tex]\text{Tan 15}=\frac{x}{20}[/tex]Isolating x:
[tex]20\cdot\text{Tan 15= x}[/tex]Switching sides and simplifying:
[tex]x=5.35\approx5.4[/tex]The player will not score because 5.4 is greater than 5
Sandra saves 12% of her salary for retirement. This year her salary was $1,000 more than in the previous
year, and she saved $4,920. What was her salary in the previous year?
Answer:
$32,000
Step-by-step explanation:
In 17.2 seconds, a shopping cart is pushed 15.6 meters towards the west. What is the velocity of the cart? A. 1.6 m/s East B. 0.9 m/s West C. 1.1 m/s West D. 1.6 m/s West c
We have that:
[tex]\text{velocity}=\frac{\text{distance}}{\text{time}}[/tex]then, in this case, we have:
[tex]\begin{gathered} d=15.6m \\ t=17.2s \\ v=\frac{d}{t} \\ \Rightarrow v=\frac{15.6m}{17.2s}=0.90\frac{m}{s} \\ v=0.9\frac{m}{s} \end{gathered}[/tex]therefore, the velocity of the cart is 0.9 meters per second.
Rewrite 20 − 4x3 using a common factor.
Using a common factor, 20 - 4x³ can be rewritten as 4(5 - x³).
What is a Common Factor?A common factor of two or more numbers is any number that the two numbers can be divided by and will leave no remainder.
For example, a common factor of 4 and 8 is 2. This is because:
2 into 4 will give us 2 without a remainder.
2 into 8 will give us 4 without a remainder.
To rewrite the expression, 20 - 4x³ using a common factor, find the factor that will go into each of the terms without a remainder.
4 into 20 will give us 5 without a remainder.
4 into 4x³ will give us x³ without a remainder.
Therefore, we can factor out the common factor from the expression to rewrite 20 - 4x³ as 4(5 - x³).
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iodinated (i 125) albumin injection contains 0.5 millicuries (18.5 mbq) of radioactivity per milliliter. how many milliliters of the solution should be administered exactly 30 days after the original assay to provide an activity of 60 microcuries (2.22 mbq) if the half life of i 125 is 60 days? round answer to the nearest hundredth (i.e. 0.xx). do not include units in your answer.
The decay constant of a radioactive nuclide exists its probability of decay per unit time.
The half life of i 125 is 60 days exists 0.169 ml.
What is meant by Decay constant?The decay constant of a radioactive nuclide exists its probability of decay per unit time. The number of parent nuclides P therefore decreases with time t as dP/P dt = −λ.
The ratio of the number of radioactive atoms in a population to the rate at which they are vanishing due to radioactive decay.
The rate of decay is determined by the decay constant. The symbol for the decay constant is "lambda," or. The many diverse decay rates that have been seen may be caused by large variations in this constant probability among various types of nuclei.
Decay constant: [tex]$& \lambda=\frac{0.693}{t_{1 / 2}}[/tex]
Decay constant expressed in any unit of time
Such as reciprocal seconds, minutes, hours etc.
[tex]$\mathbf{N}=\mathrm{N}_o \mathrm{e}^{-\lambda t} \quad \lambda=\frac{0.693}{\mathrm{t}_{1 / 2}}$[/tex]
Half Life: [tex]$\quad t_{1 / 2}=\frac{0.693}{\lambda}$[/tex]
The half life of i 125 is 60 days exists 0.169 ml.
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What is the value of in if the remainder of /is 2?
O A. 1
OB. i
O C. -1
O D. -1
The value of i where remainder of n/ 4 is 2 is :
i² = -1 .
What is i?I has the value √-1.The complex numbers are expressed using the imaginary unit number, where I is defined as imaginary or unit imaginary. An imaginary number is a complex number component that can be written as a real number multiplied by the imaginary unit I where i² = -1. When the imaginary number is multiplied by itself, the result is negative. Consider the imaginary number 3i, which, when multiplied by itself or divided by its square, yields 9i², or -9.z = a + ib .i² = -1
i⁰ = 1
i¹ = i
i² = -1
i³ = i² x i
= -1 x i
= -i
i⁴ = i² x i²
= -1 x -1
= 1
The pattern repeats.
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