Answer:
k = -2.
Step-by-step explanation:
By the Factor Theorem, if x - 1 is a factor then p(1) = 0.
So, p(1) = (1)^2 + 1 + k = 0
k = -1 - 1
k = -2.
32” TV height: 16” width: _____
Answer:
16:9Step-by-step explanation:
The dimensions of a 32-inch TV are 81.28 cm for the diagonal, and approximately 71 cm and 40 cm for width and height in the 16: 9 format.
What is the value of the expression −34 − 17 − (−22)?
A. 39
B. 5
C. −29
D. −73
[tex] = - 34 - 17 + 22 \\ = - 51 + 22 \\ = - 29[/tex]
THE ANSWER IS OPTION C.
Use an integer chip model to help you evaluate −8 + (−8) and write the solution on the line.
Answer:
-16
Step-by-step explanation:
there should be two set of -8 add together which is -16
two hot air balloons are traveling along the same path from a town beginning from different locations at the same time. Henrys balloon begins 15 miles from town and is 29 miles from the town in 2 hours. The distance of tashas Balloon from the town is represented by the function y= 6x + 10
Henry's balloon was faster as according to the graph of both the equations y = 7x +15 and y = 6x + 10. The line of Henry's balloon is more inclined toward the y-axis which reflects it is moving faster.
In 2 hours, Henry's balloon went 14 miles from 29 to 15, 29 - 15 = 14 miles.
So the balloon's speed was 14 miles per 2 hours = 7 miles per hour, 14 miles per 2 hours = 7 miles per hour.
His position might be represented by the equation y = 7x +15.
The rate of change is 9, while the beginning value is 15.
When compared to Tasha's location function, her balloon began 10 miles from town and proceeded at a speed of 6 miles per hour.
As a result, the equation is y = 6x + 10.
The green line reflects, y = 7x +15
with coordinates (0,15), (1,22), (2,29)...till infinity.
And the blue line reflects, y = 6x + 10
with coordinates (0,10), (1,16), (2,22)...till infinity.
The green line is more inclined towards the y-axis which makes the fact clear that it is moving faster than the blue line.
As a result, Henry's balloons began their journey further out of town and traveled faster.
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it costs $14 to enter the state fair. in one day 812 people entered the fair during the 11 hours it was open. how much money was collected on that day?
If admission fee per person for the state fair is $14, and 812 people visited the fair during the 11 hours it was open, then a total amount of $11368 was collected on this day.
As per the question statement, admission fee per person for the state fair is $14, and 812 people visited the fair during the 11 hours it was open.
We are required to calculate total amount of money was collected on this day.
To solve this question, we simply have to multiply the admission fee per person, with the number of visitors in that particular day, to obtain our desired answer.
Hence, [$(14 * 812) = $11368] was collected during the 11 hours the fair was open on this day.
Total amount: In Mathematics, "total amount" typically refers to the summation of all money collected separately from different places or individuals.To learn more about Admission fees and Total Amounts, click on the link below.
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m(d)=-4d^2+16d-40
Convert the function into vertex form.
The function into vertex form is m(d) = -4(d -2 )^2 - 24
Given in the question:
m(d)= - 4d^2 + 16d -40
and, Convert the function into vertex form.
Let's Know:
How do you change a function into vertex form?
m(d) = - 4d^2+16d-40 Convert the function into vertex form.
To convert standard form to vertex form, Convert y = ax2 + bx + c into the form y = a (x - h)2 + k by completing the square. Then y = a (x - h)2 + k is the vertex form.
Come to the solution:
m(d)= - 4d^2 + 16d -40
take out the leading coefficient;
m(d)= - 4(d^2 - 4 x d ) -40
Complete the square
m (d) = - 4(d^2 +(2 x(-2))x d + (-2)^2) + (-40 - (-4 x (-2)^2))
Express the function in vertex form :
m(d) = -4(d -2 )^2 - 24
Hence, The function into vertex form is m(d) = -4(d -2 )^2 - 24
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How do you solve Mr.Fillbach drinks 1 cup of orange juice every morning He bought a 1 gallon jug of orange juice How many mornings will he be able to have orange juice before having to buy more juice
Mr. Fillbach will be able to have orange juice before having to buy more juice for 16 mornings.
The gallon is a unit of volume in imperial units and us a customary device. 3 one-of-a-kind variations are in modern use: the imperial gallon.
A clean manner to discern from liters to gallons, for an instance, is that a quart is a bit much less than a liter and 4 liters is a touch extra than 1 gallon. To be specific, 1 liter is 0.264 gallons (a bit greater than a quart), and four liters is 1.06 gallons. Q-I need to shop for a 35 mm. A gallon is equal to approximately 3.78541 liters. consequently, a gallon is larger than 3 liters.
Cups and liters each measure the extent of beverages, so whether or not you need to know how many cups are in a liter or water, oil or a bottle of soda, there will constantly be approximately four.3 cups in a liter! The liter is a metric measurement closest to the quart in imperial measurements.
Given,
Mr.Fillbach drinks 1 cup of orange juice every morning.
He bought a 1-gallon jug of orange juice.
Since there are 16 cups in 1 gallon.
Therefore, he is able to have orange juice before having to buy more juice = for 16 days
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I need Algebra II help. Solve for x. 6x-10≤8 or 1/3x+6>12
If you can, please add an explanation. Thank you sm!
The solution of the inequality is x ≤ 3 or x > 18.
An inequality in mathematics is a relation that compares binary number or other mathematical in an unequal way.
The majority of the time, size comparisons between two figures on the number line are made. Different types of inequalities are represented by a variety of notations . The symbol for "larger than" that is divided in half by the word "not" can also be used to denote the relationship not greater than. For not fewer than and and a b, the same holds true.Now let us solve the inequality:
6x - 10 ≤ 8
adding 10 on both sides:
or, 6x -10+10 ≤ 8+10
or, 6x ≤ 18
dividing both sides by 6 we get :
or, 6x ÷ 6 ≤ 18 ÷ 6
or, x ≤ 3
For the second inequality:
1/3x+6>12
subtracting 6 from both sides :
or, 1/3x+6 - 6 > 12 - 6
or, 1/3 x > 6
Multiplying both sides by 3
or, x > 18
Therefore the complete solution is x ≤ 3 or x > 18 .
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What is the probability that a randomly chosen student prefers rap or sings in the shower 3-4 times a week
The equation for the probability that student sings or rap in the shower 3-4 times a week is,
[tex]P\text{ (sing or rap)=P(sings) + P(rap) - P(Sings and rap)}[/tex]Substitute the values in the equation to determine the probability hat student sings or rap in the shower 3-4 times a week.
[tex]\begin{gathered} P\text{ (sings or rap)=0}.4+0.5-0.2 \\ =0.9-0.2 \\ =0.7 \end{gathered}[/tex]So answer is 0.7.
Match each equation with the slope m and y-intercept of its graph.
A. m = -6, y-int = (0, 12)
1.5x-6y=30
B. m = -6, y-int = (0,5)
C. m = -, y-int = (0, 1)
D. m = 2, y-int = (0, 1)
E. m = 2, y-int = (0, -1)
F. m = , y-int = (0, -5)
2. y = 5-6x
3.y = x+1
4.5x-6y=6
5.5x+6y=6
6.6x + y = 12
For 5x-6y=30, slope = m = 5/6 and y-intercept = (0, -5)
For y = 5-6x, slope = m = -6 and y-intercept = (0, 5)
For y = x+1, slope = m = 1 and y-intercept = (0, 1)
For 5x-6y=6, slope = m = 5/6 and y-intercept = (0, -1)
For 5x+6y=6, slope = m = -5/6 and y-intercept = (0, 1)
For 6x + y = 12, slope = m = - and y-intercept = (0, 12)
What is the slope-intercept form of a line?
The line with m as the slope, and c as the y-intercept is the graph of the linear equation y = mx + c. The values of m and c are real integers in the slope-intercept form of the linear equation.
The slope, m, is a measure of how steep a line is. Sometimes, the gradient of a line is referred to as its slope. A line's y-intercept, ab, denotes the y-coordinate of the location where the line's graph crosses the y-axis.
Given, the first equation is 5x - 6y = 30
Solving the equation for y, we get: y = (5/6)x + (-30/6) = (5/6)x + (-5)
Comparing this to the standard slope intercept form in literature, we have, slope = m = 5/6 and y-intercept = (0, -5)
The second equation is y = 5 - 6x
Solving the equation for y, we get: y = (-6)x + 5
Comparing this to the standard slope intercept form in literature, we have, slope = m = -6 and y-intercept = (0, 5)
The third equation is y = x + 1
Solving the equation for y, we get: y = x + 1
Comparing this to the standard slope intercept form in literature, we have, slope = m = 1 and y-intercept = (0, 1)
The fourth equation is 5x - 6y = 6
Solving the equation for y, we get: y = (5/6)x + (-6/6) = (5/6)x + (-1)
Comparing this to the standard slope intercept form in literature, we have, slope = m = 5/6 and y-intercept = (0, -1)
The fifth equation is 5x + 6y = 6
Solving the equation for y, we get: y = (-5/6) + (6/6) = (-5/6)x + (1)
Comparing this to the standard slope intercept form in literature, we have, slope = m = -5/6 and y-intercept = (0, 1)
The sixth equation is 6x + y = 12
Solving the equation for y, we get: y = (-6)x + 12 = (-6)x + 12
Comparing this to the standard slope intercept form in literature, we have, slope = m = - and y-intercept = (0, 12)
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Please help level-8th your answer may help my grades!
Answer:
1. 6/10 2? 3.3/4 4. 1/3
Step-by-step explanation:
there is none.0.3333333333333333333333 is just 1/3.also this is NOT 8th grade math i am in 6th
Answer:
0.6=6/10
3.405=681/200
0.75=3/4
0.33=1/3
What are the domain and range of this relation? ( – 3,9) ( – 8, – 7) (3, – 8) (0, – 1) ( – 2,4)
Answer: Domain: -8,-3,-2,0,3 Range: -8,-7,-1,4,9
Step-by-step explanation: To find the domain and range, just see the X values for the domain, and Y values for the range and put them in order from least to greatest. (because this is a relation and not just points, you don't just take the greatest point minus the least)
Suppose a shipment of 150 electronic components contains 4 defective components. To determine whether the
shipment should be accepted, a quality-control engineer randomly selects 4 of the components and tests them. If 1 or
more of the components is defective, the shipment is rejected. What is the probability that the shipment is rejected?
The probability that the shipment will be rejected is 2/75.
What is probability?The area of mathematics known as probability deals with numerical descriptions of how likely it is for an event to happen or for a proposition to be true. A number between 0 and 1 is the probability of an event, where, roughly speaking, 0 denotes the event's impossibility and 1 denotes its certainty. Simply put, probability measures how likely something is to occur. We can discuss the probabilities of various outcomes, or how likely they are, whenever we are unsure of how an event will turn out. is the study of events subject to probability.So, the probability that the shipment is rejected:
Probability formula: P(E) = Favourable events/Total events.Where favorable events are 4 and total events are 150.Now, substitute the values in the formula and solve as follows:
P(E) = Favourable events/Total eventsP(E) = 4/150P(E) = 2/75Therefore the probability that the shipment will be rejected is 2/75.
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A bee flies at 15 feet per second directly to a flowerbed from its hive. The
bee stays at the flowerbed for 10 minutes, and then flies directly back to
the hive at 9 feet per second. It is away from the hive for a total of 14
minutes. Let d be the distance of the flowerbed from the hive. How far is
the flowerbed from the hive?
The flowerbed is 3600 feet away from the beehive.
How is distance related to speed and time?
Speed is determined by dividing the distance travelled by the time taken to travel it. It gives the distance travelled and the time it took to travel that distance.
Distance is equal to speed times time, and time is equal to distance divided by speed. As a result, as the speed increases, the amount of time required will decrease, and vice versa.
Mathematically, Distance = Speed*Time
Given, the total time of flight for the bee = (14 - 10) minutes = 240 seconds
Speed of the bee = 15 feet s⁻¹
Distance of the flowerbed from the hive = d
Thus using the formula described above in the literature part, we get,
Distance, d = Speed * Time = 15*240 = 3600 feet
Thus, the flowerbed is 3600 feet away from the beehive.
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what is the answer to (-8) - (-1) ?
Answer:
-7
Step-by-step explanation:
the answer is -7 no bracket needed
What number n is four times as close to 2 as it is to 10
Answer:
n=38/3
Step-by-step explanation:
4*(n-10)=(n-2)
4*(n-10)=n-2
4n-40=n-2
3n-40=-2
3n=38
n=38/3
What’s the answer for 8
Answer:
Z=6.855 cm
Step-by-step explanation:
For Items 3–5, use the figure shown.
Find the slope of each line in the figure.
Five lines graphed on the same coordinate plane. Line m passes through the points negative 15.5 comma 0 and 0 comma 6.2. Line n passes through the points negative 5 comma negative 6.8 and 12 comma 0. Line p passes through the points negative 4 comma 8 and 4 comma negative 12. Line q passes through the points 6.8 comma 13 and 12 comma 0. Line r passes through the points 6.8 comma 13 and 0.4 comma negative 3.
slope of p =
slope of q =
slope of r =
slope of m =
slope of n =
Slope of p is -2.5, slope of q is -2.5, slope of r is 2.5, slope of m is 0.4 and slope of n is 0.357.
What is Slope of Line?The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.
The formula for slope passing through two points (x1, y1) and (x2, y2)
m=y2-y1/x2-x1
Line m passes through the points negative 15.5 comma 0 and 0 comma 6.2.
(-15.5, 0) and (0, 6.2)
m=6.2-0/0-(-15.5)
m=6.2/15.5 =0.4
Line n passes through the points negative 5 comma negative 6.8 and 12 comma 0.
(-5, -6.8) and (12, 0)
m=0-(-6.8)/12-(-5)
m=6.8/12+7
m=6.8/19=0.357
Line p passes through the points negative 4 comma 8 and 4 comma negative 12.
(-4,8) and (4,-12)
m=-12-8/4-(-4)
m=-20/8=-2.5
Line q passes through the points 6.8 comma 13 and 12 comma 0.
(6.8,13) and (12, 0)
m=0-13/12-6.8
m=-13/5.2=-2.5
Line r passes through the points 6.8 comma 13 and 0.4 comma negative 3.
(6.8,13) and (0.4, -3)
m=-3-13/0.4-6.8
m=-16/-6.4=2.5
Hence slope of p is -2.5, slope of q is -2.5, slope of r is 2.5, slope of m is 0.4 and slope of n is 0.357.
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4 apples cost $2. Will the unit price, or cost of 1 apple, be greater than or less than $2?
Answer:
0.5 dollars or 50 cents
Step-by-step explanation:
because 4:2=0.5
have a nice day
instructions! answer the question, add me as a friend, put funny explanation, and tell name:)
666666 X 4443332221119111
i will make brainliest to best one!
The numbers are 666666 X 4443332221119111. The number solved multiplication is [tex]2.962218518 \times10^{21}[/tex].
Given that,
The numbers are 666666 X 4443332221119111
We have to solve the number multiplication.
Multiplication means the fundamental concept of repeatedly adding the same number is represented by the process of multiplication. The outcome of multiplying two or more numbers is referred to as the product of those numbers, and the factors are the quantities that are multiplied. Multiplying the numbers makes it simpler to add the same number repeatedly.
666666 X 4443332221119111
[tex]2.962218518 \times10^{21}[/tex]
Therefore, the number solved multiplication is [tex]2.962218518 \times10^{21}[/tex].
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An election ballot asks voters to select five city commissioners from a group of nineteen candidates. In how many ways can this be done?
Answer:
Hello! I Have the Correct Answer to This Question, 8,568 ways
Hope This Helps!
Explination:
C(18, 5) = 18!/((18 - 5)! 5!)
C(18, 5) = 18!/(13! 5!)
C(18, 5) = 14*15*16*17*18/(2*3*4*5)
C(18, 5) = 8,568 ways
Brainliest?
Graph a right triangle with the two points forming the hypotenuse. Using the sides, find the distance between the two points, to the nearest tenth (if necessary).
(-1, 9) \text{ and } (4, -3)
(−1,9) and (4,−3)
The distance between the given points will be 13 square units.
A triangle may be defined as a closed figure having three sides and three interior angles. A right triangle may be defined as a triangle which has one interior angle as 90°. The right triangle consists of a base, an altitude and a hypotenuse. We have the coordinates of the hypotenuse as (-1, 9) and (4, -3). If we plot these points on graph paper, we get the other point as (-1, -3). Also, the distance between the points (-1. 9) and (4, -3) is given by
Distance = √(-3 - 9)² + (4 + 1)²
Distance = √(-12)² + (5)²
Distance = √144 + 25
Distance = √169
Distance = 13 square units.
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Dividing Decimals: Rounding the quotient
0.03 divided by 0.148 =
The quotient when 0.03 is divided by 0.148 after rounding it off is 0.2.
According to the question,
We have the following information:
0.03 is divided by 0.148
Now, we have the quotient as:
0.2027
Now, when rounding off the numbers we know that the digits from where we are rounding off we look at the right next to that digit and when that digit is greater than 5 then the digit should be increased by 1 and when that digit is less than 5 then the digit should be the same.
So, we will round it off by taking the underlined digit to be next to first 2:
So, the digit is 0.
Then, we have:
0.2
Hence, the quotient when 0.03 is divided by 0.148 after rounding it off is 0.2.
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Which equation best represents the graph?
Please help me
Find the equation of each line in slope intercept form
Answer:
The equation is y = 1/2x +4
A person's blood glucose level and diabetes are closely related. Let x be a random variable measured in milligrams of glucose per deciliter (1/10 of a liter) of blood. Suppose that after a 12-hour fast, the random variable x will have a distribution that is approximately normal with mean = 90 and standard deviation = 20. Note: After 50 years of age, both the mean and standard deviation tend to increase. For an adult (under 50) after a 12-hour fast, find the following probabilities. (Round your answers to four decimal places.)
(a) x is more than 60
(b) x is less than 110
(c) x is between 60 and 110
(d) x is greater than 125 (borderline diabetes starts at 125)
The probability that x is between 60 and 110.
P(60 < x<110) = 0.6436
Step( i ) :-
Given data the random variable 'X' will have a distribution that is approximately normal with mean μ = 83 and standard deviation σ = 27.
Mean of the Population 'μ' = 83
Standard deviation of the Population 'σ' = 27.
Step(ii):-
Given X =60
Step(iii):-
Given X = 110
The Probability that between 60 and 110
P(60 < x<110) = P( -0.851 < z< 1)
= P( Z≤1) - P(Z≤ -0.851)
= (0.5 + A(1)) - (0.5- A(-0.851))
= (0.5 +0.3413)- (0.5 - 0.3023) ( check normal table yellow mark)
= 0.8413 - 0.1977
P(60 < x<110) = 0.6436
The probability that x is between 60 and 110.
P(60 < x<110) = 0.6436
What happen in uniform probability distributions?In case of uniform probability distributions, the likelihood of each possible outcome happening or not is the same. This property means that, for any given trial, the probability that an event will be successful does not change. Take the probability of rolling a 5 on a die for instance, no matter how many trials are performed, there is always a 1 in 6 probability for each trial.
Therefore, The probability that x is between 60 and 110.
P(60 < x<110) = 0.6436
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Hafsa has planted a total of 40 plants in her new garden. 22 of these are flowering cacti. What percentage of the plants are flowering cacti?
Answer:
55%
Step-by-step explanation:
22 ÷ 40 × 100 = 55
Hope this could help you
Determine the intercepts of the line.
Do not round your answers.
3x + 2y = 5
Answer:
for x =
[tex]x = 5 - 2y \div 3[/tex]
for y =
[tex]5 - 3x \div 2[/tex]
Find
(3.2x10¹0) (3.75x10⁰)
(4x10°) (6x105)
expressed in scientific notation.
PLEASE HELP!!! I WILL GIVE BRAINLIEST
The scientific notation of the given numbers is 12 x [tex]10^{10}[/tex] and 24 x [tex]10^{5}[/tex].
Using scientific notation, one can express extremely big or extremely small values. When a number between 1 and 10 is multiplied by a power of 10, the result is represented in scientific notation. For instance, the scientific notation for 650,000,000 is 6.5 x [tex]10^{8}[/tex]
The given numbers are
(3.2 x [tex]10^{10}[/tex] ) (3.75 x [tex]10^{0}[/tex])
and (4 x [tex]10^{0}[/tex]) (6 x [tex]10^{5}[/tex])
So, Considering these numbers one by one,
(3.2 x [tex]10^{10}[/tex] ) (3.75 x [tex]10^{0}[/tex])
We multiply 3.2 and 3.75 and add the exponents of 10.
(3.2 x [tex]10^{10}[/tex] ) (3.75 x [tex]10^{0}[/tex]) = 12 x [tex]10^{10}[/tex]
Now the second number that we have is (4 x [tex]10^{0}[/tex]) (6 x [tex]10^{5}[/tex])
We multiply 4 and 6, and we add the exponents of 10.
(4 x [tex]10^{0}[/tex]) (6 x [tex]10^{5}[/tex]) = 24 x [tex]10^{5}[/tex]
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In the American flag there are 7 red stripes for
every 6 white stripes. How many red stripes
and white stripes are there in 120 American
flags?
Total number of stripes in 120 American flag = 120 × 13 = 156 stripes
When do we use unitary method?The unitary method is a method in which you find the value of a unit and then the value of a required number of units.
1. In simple terms, the unitary method is used to find the value of a single unit from a given multiple.
2 . If we need to find the ratio of one quantity with respect to another quantity, then we need to use the unitary method.
Given: Number of red stripes in American flag : 7 stripes
Number of white stripes in American flag = 6 stripes
Thus total number of stripes in an American flag = 6 + 7 = 13 stripes
By using unitary method we get ;
Number of stripes in 120 American flag = 120 × 13 = 156 stripes
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