Answer:
Step-by-step explanation:
Using synthetic division, the zeros goes into the box, which would be -1
-1 | 1 -3 -1 24
-1 4 -3
1 -4 3 21
The remainder is 21
In a survey of 1,900 people who owned a certain type of car, 570 said they would buy that type of car again. What percent of the people surveyed were satisfied with the car? nothing% of the people surveyed were satisfied with the car. (Type a whole number.)
Answer:
The percentage of people who are satisfied with this car model is 30%.
Step-by-step explanation:
Given that the survey interviewed 1,900 people who own a certain type of car, and of them 570 said that they would buy the same car model again, to determine the percentage of people who are satisfied with that model it is necessary to perform the following calculation :
1,900 = 100
570 = X
((570 x 100) / 1,900) = X
57,000 / 1,900 = X
30 = X
Therefore, the percentage of people who are satisfied with this car model is 30%.
Write the product 3i(5 - 3i) in the form a + bi.
An imaginary number is denoted by i.
The value of i is √-1.
Imaginary number.
i= √-1
i² = -1
i³ = -i = -√-1
The product of 3i (5 - 3i) in the form of a + bi is
9 + 15i.
What is an imaginary number?An imaginary number is denoted by i.
The value of i is √-1.
We have,
Imaginary number.
i= √-1
i² = -1
i³ = -i = -√-1
Now,
3i (5 - 3i)
Removing the parenthesis.
= (3i x 5) - (3i x 3i)
= 15i - 9(-1)
= 15i + 9
= 9 + 15i
This is in the form of a + bi
Thus,
The product of 3i (5 - 3i) in the form of a + bi is
9 + 15i.
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HELP MEEEE!!!!! PLZZZZZZZZ
Answer:
9
Step-by-step explanation:
using pemdas, you add the () first which gives you 3. then going in order you divide 6 by 2 which gives you 3. then your left with 3 times 3 which is 9
Answer:
1
Step-by-step explanation:
When solving an expression with different operations, we evaluate:
1. Brackets (This has to take the top priority in any expression with brackets, do the divisions and multiplications in the brackets first before the additions and subtractions if any)
2. Divisions and Multiplication (Do from left to right)
3. Addition and Subtraction (Do from left to right)
6 ÷ 2(1+2) = 6 ÷ 2(3)
= 6 ÷ 6
= 1
Using the greatest common factor for the terms, how can you write 56+32 as a product?
Step-by-step explanation:
56 + 32
= 8 * 7 + 8 * 4
= 8(7 + 4)
= 8 * 11
= 88.
for geometry:(
will give brainist to the correct answer!!!
Answer:
y = ⅔x - 5
Step-by-step explanation:
To write the equation, find the slope (m), to enable you write the equation of the line in point-slope form given a point, (-3, -7) that the line passes through.
Since the line is parallel to 2x - 3y = 24,, it would have the same slope (m) value.
Rewrite 2x - 3y = 24 in slope-intercept form.
Thus:
2x - 3y = 24
-3y = -2x + 24
y = ⅔x - 12
The slope of 2x - 3y = 24 is ⅔. Therefore, the line that is parallel to 2x - 3y = 24 is also ⅔.
To write the equation of the line, substitute (a, b) = (-3, -7) and m = ⅔ into y - b = m(x - a)
Thus:
y - (-7) = ⅔(x - (-3))
y + 7 = ⅔(x + 3)
y + 7 = ⅔x + 2
y = ⅔x + 2 - 7
y = ⅔x - 5
4. Solve each equation for x. (8 points: 2 points each)
a.) 3x-12y=27
b.) 6x-7y=-2
c.) 4x-k=17
d.) kx+c=9
Answer:
a. x = 9 + 4y
b. x = (7y-2)/6
c. x = (17 + k)/4
d. x = (9-c)/k
Step-by-step explanation:
In each of the equations, we want to make x the formula subject
a) 3x-12y = 27
3x = 27 + 12y
3x = 3(9 + 4y)
x = 9 + 4y
b) 6x-7y = -2
6x = 7y-2
x = (7y-2)/6
c) 4x - k = 17
4x = 17 + k
x = (17 + k)/4
d) kx + c = 9
kx = 9-c
x = (9-c)/k
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Solve the system of linear equations by graphing.
y=-5/2x-17
x + 2y = 4
What is the solution to the system of linear equations?
(-4.5, 4.25)
(-1.7,-2.8)
(0, -7)
(3, 0.5)
Answer:
(-9.5, 6.75)
Step-by-step explanation:
I inputted both equations on the desmos website and they met at this point
25 POINTS! URGENT! HELP PLS!! 3 PARTS BUT YOU CAN DO HOW EVER MANY U WANT
What do you know about the number of edges and vertices for each figure?
How do you know?
a)
A prism has 12 faces.
b)
A pyramid has 7 faces.
c)
A Platonic solid has 12 faces.
Martha and 4 friends attended a volleyball game. Admission was $3.50 per person. They all got snacks that were $2.50 each and a drink that was $1.50. On the way home they stopped at Starbucks for a frappucino that cost $4.75 per person. Martha paid for everything. How much did she pay?
Answer:
$61.25
Step-by-step explanation:
Given that:
There are 5 persons (Martha and 4 other friends)
Fee for admission for each person = $3.50
Price for snacks for each person = $2.50
Price for drinks for each person = $1.50
Price for frappucino for each person = $4.75
All the money was paid by Martha.
To find:
Total money paid by Martha.
Solution:
First of all, let us find the total cost for one person.
Total cost for one person = $3.50 + $2.50 + $1.50 + $4.75 = $12.25
There are a total of 5 persons.
Therefore total cost = $12.25 [tex]\times[/tex] 5 = $61.25
Total money paid by Marth = $61.25
Evaluate the expression x + 5 when x= 3, y=6 and z=12. A. 11 B. 17 C. 1 D. 8
Answer:
D, 8
Step-by-step explanation:
x=3
x + 5
(3) + 5
=8
what is the answer
Answer:
a=7 i think
Step-by-step explanation:
kyle has $1.60 in change in his pocket. He has the same number of quarters as nickels. He has 4 more dimes than quarters. How many of each coin does he have?
Solve the following three equations
Answer:
2 sq rt 33
Step-by-step explanation:
1st step: subtract one, each side
(radical 2/3)r = 22
2nd step: set up a proportion
(radical 2/3)r = 22
3rd step: cross-multiply
radical 2*r = 66
4th step: solve for 'r'
r = 66 / radical 2
5th step: rationalize the denominator
multiply numerator and denominator by radical 2
6th step: simplify
(66[tex]\sqrt{2}[/tex]) / 2 = 33 [tex]\sqrt{2}[/tex]
7x+16 can someone help me solve this problem??!!!
Whoever answers first gets brainlyest.
Answer:
-16/7
Step-by-step explanation:
7x+16=0
7x=-16
x=-16/7
Answer:
are you solving for x? if not lemme know how to solve it and ill edit my answer
Step-by-step explanation:
7x+16=0
-16 -16
7x=-16
/7 /7
x= -16/7
i am in algebra two so i can help
A submarine hovers at 66 and two-thirds yards below sea level. If it ascends 24 and StartFraction 1 over 8 EndFraction yards and then descends 78 and three-fourths yards, what is the submarine's new position, in yards, with respect to sea level?
Answer:
- 121 7/24
Step-by-step explanation:
Initial Position = 66 2/3 below sea level
Ascent = 24 1/8
Descent = 78 3/4
New position of submarine :
Since initial. Position is below sea level, we finite with a negative sign :
-66 2/3 = - 200 /3
Ascent is positive ; 24 1/8 = 193 / 8
-200 /3 + 193 / 8
(-1600 + 579) / 24
= - 1021 / 24
Descent = 78 3/4 (negative) downward
78 3/4 = - 315/ 4
-1021 / 24 - 315/4
(-1021 - 1890) / 24
= - 2911 / 24
= - 121 7/24
121 7/24 below sea level
can you help me please
Answer:
zero slope
Step-by-step explanation:
its not goin up or down so there is no slope:)
also look below :)
Which must be true? Select two options. Point H is the center of the circle that passes through points D, E, and F.
Point H is the center of the circle that passes through points L, M, and N.
Line segment H E is-congruent-to line segment H D
Line segment L H is-congruent-to line segment N H
Line segment F L is-congruent-to line segment F N
Answer:
A. Point H is the center of the circle that passes through points D, E, and F.
C. Line segment H E is-congruent-to line segment H D
Step-by-step explanation:
The center of a circle is a point within it that has the same distance to all other points on its circumference.
Constructing a circle with center H would pass through the points D, E and F at the three vertices of the given triangle. Thus producing a circumscribed circle to the triangle. A circumscribed circle is one that can is constructed outside a given figure.
It can also be observed that, DH ≅ EH ≅ FH. So that, the line segment HE is congruent to line segment HD.
The correct options in the given question are: A and C.
Answer:
A. Point H is the center of the circle that passes through points D, E, and F
C. HC≈HD
Ricardo bought a bicycle that was discounted 20% off the original price. If the original price was $110.00, what was the price of the bicycle after the discount was applied?
Answer:
88$
Step-by-step explanation:
Question 3(Multiple Choice Worth 5 points)
(02.06 MC)
What is the measure of angle x?
O40 degrees
O80 degrees
O130 degrees
O140 degrees
2. In the product of (4a3 + 5a2 – 11a) and (-15 + 3a – 7a2), the co-efficient of a4 is …………………… .
Answer:
- 23
Step-by-step explanation:
We could do this the long way and expand the whole product or note that the [tex]a^{4}[/tex] terms arise from the product of the a³ and a terms and the product of the a² and a² terms, that is
4a³ × 3a = 12[tex]a^{4}[/tex]
+ 5a² × - 7a² = - 35[tex]a^{4}[/tex]
Summing gives
12[tex]a^{4}[/tex] - 35[tex]a^{4}[/tex] = - 23[tex]a^{4}[/tex]
with coefficient - 23
The only pairs that will give you some multiple of [tex]a^4[/tex] are:
[tex]4a^3\cdot (3a),\quad 5a^2\cdot(-7a^2)[/tex]
their values are respectively
[tex]12a^4,\quad -35a^4[/tex]
and their sum is [tex]-23a^4[/tex]
Find the apothem of a regular pentagon with a side length of 10
Answer:
GGGG
Step-by-step explanation:
GGGGG
Answer:
20
Step-by-step explanation:
WILL GIVE 100 POINTS AND BRAINLIEST TO FIRST TO ANSWER CORRECT
RQ = TQ
1 2
RS _____ ST
Choose the relationship symbol to make a true statement.
Answer:
>
Step-by-step explanation:
In the lesson, we learned that the side opposite the larger angle was larger. In this case; angle 1 is larger than angle 2. This makes line segment RS > ST. Hope this helps!
Also I did this question myself and this was correct. :D.
Someone Please explain how to do this. HURRY
Dahlia noticed that her tomato plant grew new leaves at a steady rate, after the plant sprouted. She recorded the number of leaves on her plant on various days (see table) how many leaves should she expect on the 32nd day
Answer:
D; 85 leaves
Step-by-step explanation:
From what we can see, each 4 days there is a growth of an additional 9 leaves
So for the 20th day, we can see 58
The difference between the 20th and 32nd day is 12
The number of 4s we can see here is 12/4 = 3
For each 4, we can count extra 9 leaves
So for the 12, the number of leaves we can count is 3 * 9 = 27
we proceed to add this to 58
That will yield 58 + 27 = 85
It's c Bye bye have a amazing day
A triangle has interior angle measures 28 and 32, please find the 3rd interior angle and two exterior angles.
Answer:
16
Step-by-step explanation:
its an ocosilse triangle cause of the 1 apat distance so 16 is the anser
Answer:
the 3rd angel is 120
the two exterior angels can be, 60 and 152
Step-by-step explanation:
the 3rd angel is 120 because the interior angel measure is 180, so 28+32 is 60 and 180-60 is 120.
the exterior angel is gained by adding two nonadjacent angles or the remote angels.
what is the domain and range of this linear equation 6x+12y=48
Answer:
(-infinity, infinity)
(-infinity, infinity) ... for both graph below
Step-by-step explanation:
You randomly sample 8 graduate students from an NYU event. 5 of the 8 exhibit higher IQ’s than the median of the general population. The probability of obtaining this result by chance (if those graduate students do not differ in IQ from the general population) is
Answer:
The probability that five of the eight students exhibit an higher IQ than the median of the general population is 0.21875
Step-by-step explanation:
The given parameters are;
The number of students in the sample, n = 8
The number of the students, x, that exhibit higher IQ's than the median = 5
The probability of obtaining the given result by chance is given as follows;
P(x) = n!/((n - x)!x!) × pˣ × qⁿ⁻ˣ
The probability that a student exhibit higher IQ's than the median = 0.5 = p
Similarly, we have, the probability that a student exhibit lower IQ's than the median = 0.5 = q
Substituting the known values, gives;
P(5) = (8!/((8 - 5)!×5!)) × 0.5^(5) × 0.5^(8 - 5) = 0.21875
Therefor, the probability that 5 of the 8 students exhibit an higher IQ than the median of the general population, P(5) = 0.21875.
Which function is quadratic?
Function f is defined by f(x) = 1.5^x. Function g is defined by g(x) = 500x^2 + 345x
1. Function f
2. Function g
Answer:
g(x) is a quadratic function ⇒ 2
Step-by-step explanation:
The quadratic function is the function that has 2 as the greatest power of the variable The form of the quadratic function is f(x) = ax² + bx + c, where a, b, and c are constantLet us use the information above to solve the question
∵ f(x) = [tex]1.5^{x}[/tex]
∵ x is the exponent of the base 1.5
→ That means f(x) is not in the form of the quadratic function
∴ f(x) is not in the form of the quadratic function above
∴ f(x) does not represent a quadratic function
∴ f(x) is not a quadratic function
∵ g(x) = 500x² + 345x
∴ The greatest power of x is 2
→ That means g(x) is in the form of the quadratic function above
∵ g(x) is in the form of the quadratic function above, where a = 500,
b = 345, and c = 0 (constant values)
∴ g(x) represents a quadratic function
∴ g(x) is a quadratic function
Solve for f.
2f =
-38-22
4
Pls help doing a test?
Answer:
f=2
Step-by-step explanation:
hope this helps you
Which reason is missing in step 2?
CPCTC
definition of supplementary angles
triangle parts relationship theorem
O triangle angle sum theorem
ΔHKJ and ΔLNP are similar triangle due to equal pair of corresponding angles .
What are Similar Triangles?Similar triangles are defined as two triangles with the same shape, equal pair of corresponding angles, and the same ratio of the corresponding sides.
Given,
m∠H = 30°
m∠J=50°
m∠P=50°
m∠N=100°
In triangle ΔHKJ
m∠H = 30°
m∠J=50°
m∠K= 180°- (m∠H+m∠J) = 180°-(30°+50°)
m∠K= 100°
In ΔHKJ and ΔLNP,
m∠J = m∠P= 50°
m∠K= m∠N= 100°
According to Angle-Angle (AA) rule, two triangles are said to be similar if two angles in one particular triangle are equal to two angles of another triangle.
Thus, ΔHKJ and ΔLNP are similar triangle due to equal pair of corresponding angles.
Hence, ΔHKJ ~ ΔLNP
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