Answer:
1001 y
Step-by-step explanation:
Answer:
y=125º
Step-by-step explanation:
135+x=180 180-135=x 45=x
180-100=80
80+45+x=180 100=x+45 55=x
interior angles are 45,80,55
180=y+55
125=y
4. Evaluate f(x) = - 9x + 8 at the given value. f(5)
Answer:
-37
Step-by-step explanation:
f(x) = - 9x + 8
f(5) = - 9*5 + 8 = -37
Answer: -37
Step-by-step explanation:
f(5) = -9x + 8
f(5) = -9(5) + 8
f(5) = -45 + 8
f(5) = -37
Express x²-8x+5 in form of (x-a)^2 -b
Answer:
a=4, b=11
Step-by-step explanation:
You have to complete the square.
x²-8x+5 = (x-4)²-16 +5 = (x-4)² - 11
two brothers, richard and andrew, share a sum £30 in the ratio 3:7. how much does each brother get?
Answer:
£9,£21
Step-by-step explanation:
richard:andrew=3:7
3+7=10
£30÷10=£3
richard=3×£3=£9
andrew=7×£3=£21
Answer:
15
Step-by-step explanation:
you should divide both 30/2
so u get 15
5. in an experiment that tested how adding variable quantities of sugar to flowers in a vase made the flowers last longer, the dependent variable would be the \
For given scenario the dependent variable would be the life of flowers.
For given question,
The variable that researchers are trying to explain or predict is called the
response variable. It is also sometimes called the dependent variable
because it depends on another variable.
The variable which is used to predict the response variable is known as the explanatory variable. It is also called as an independent variable because it does not depend on another variable.
The amount of sugar would be an independent variable and the life of flowers is a dependent variable.
Therefore, for given scenario the dependent variable would be the life of flowers.
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draining 15 gallons of water from a fish tank
(Write your answer as an integer)
Answer:
-15
Step-by-step explanation:
if its just asking for what number would represent a loss of 15 it would be negative 15
i dont know if there's more to the problem or not
Answer:
-15
Step-by-step explanation:
This is because whatever much water was in the tank is now decreasing by 15, therefore, you can write it as -15,
hope this helps!
systems of linear equations
what number is best to use to simplify a fraction?
A Least common multiple
B Least common denominator
C Greatest common factor
D Greatest factor
The best number to simplify a fraction is C Greatest common factor.
What is the greatest common factor?The greatest common factor is the highest number that can divide both the numerator and the denominator of the fraction without leaving a remainder.
To find the greatest common factor, list the prime factors of each number, take the common factors, and then multiply them.
For instance, the greatest common factor of 24 and 36 is 12, produced from the common factors of 3 and 4 (2 x 2) multiplied to get 12 (3 x 4).
Thus, it is easier to simplify a fraction using Option C than the other options.
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Please help‼️ domain and range‼️
The domain and the range of the function are (-∝, ∝) and (0, ∝), respectively
Calculating the domain and range of the graph?From the question, we have the following parameters that can be used in our computation:
The graph
The above graph is an exponential function
The rule of an function is that
The domain is the set of all real values
In this case, the domain is (-∝, ∝)
For the range, we have
Range = (0, ∝)
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Sophia owns a small business selling used books. She knows that in the last week 15 customers paid cash, 50 customers used a debit card, and 15 customers used a credit card. Based on these results, express the probability that the next customer will pay with a debit card as a decimal to the nearest hundredth.
The probability that the next person will pay with a debit card is:
P = 0.63
How to find the probability?
We want to find he probability that the next customer will pay with a debit card.
That probability can be estimated as the quotient between the number of customers that paid with debit card and the total number of customers.
We know that:
15 paid in cash.
50 paid with debit card.
15 paid with credit card.
For a total of 15 + 50 + 15 = 80
Then the probability is:
P = 50/80 = 0.63
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I NEED THIS RIGHT NOW PLEASE HELP ME
Answer:
1) -2
2) 8/3
3) 1/2
4) -1/2
5) 5/9
6) -4
Step-by-step explanation:
The slope formula is:
rise/run
The difference in the Y value is the rise and the difference in the x is the run.
for number 1, you would do
8-4/1-3
4/-2
slope = -2
and so on
H= 51.34
Please work out the volume of this.
The volume of the prism is
70 cm³How to find the volume of the prismThe volume of the prism is solved by the formula
= area of triangle * depth
Area of the triangle
= 1/2 base * height
base = p = cos 51.34 * √41 = 4
height = q = sin 51.34 * √41 = 5
= 1/2 * 4 * 5
= 10
volume of the prism
= area of triangle * depth
= 10 * 7
= 70 cm³
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which pair pls help
Answer:
Pair 1
Step-by-step explanation:
If you flip your computer screen upside down (Please don't actually do it I just can't think of any other way to explain it) it would be in the same rotation as the first figure.
Have a good day :)
14) What is 56% of 125?
Answer:
70
Step-by-step explanation:
Which of the following is the best approximation for the value of 541 + (0.098)^2??
(Hint: You need not actually calculate.)
A 50
B. 5
C 5500
D55000
please helpe to solve this qn.. please
I will mark as branliest
Please and Thank You
Answer:I think C
Step-by-step explanation:Given expression,
Since, Direct multiplication or division of decimals is more calculative than that of integers,
Thus, we can round the numbers for easing the calculation,
We know that, 7.1 ≈ 7,
3.85 ≈ 4,
9.09 ≈ 9
what will the equation be for this "Ryan is saving money to buy a skateboard that costs $85. He has already saved $40. He plans to save the same amount each week for three weeks. Let "x" represent the amount he saves each week. Write and solve an equation to represent this situation."
Answer:
weir
Step-by-step explanation:
Which terms describe this shape? Choose all that apply.
parallelogram
rhombus
square
rectangle
Submit
Answer:
parallelogram, square, rectangle, rhombus
(all)
Step-by-step explanation:
A square is a shape that has four sides equal in length
the little dash-marks on multiple sides are to show that the two sides are of the same dimension/length.
So, if all four sides are marked as equivalent, this must be a square.
And, a parallelogram is a shape with two pairs of parallel sides, meaning that a square/this shape is a parallelogram
However, a square is also a rectangle, because it is a parallelogram with four 90-degrees (interior) angles [which is just a formal definition for what you know to be a rectangle].
AND a square is a rhombus because it has four sides of equal length
a square is a rectangle; a rectangle is a parallelogram
a square is a rhombus;
a rhombus is a parallelogram; a square is a parallelogram
(and a square is a square)
Consider the triangle. A triangle has 3 60 degree angles. Which statement is true about the lengths of the sides? Each side has a different length. Two sides have the same length, which is less than the length of the third side. The three sides have the same length. The sum of the lengths of two sides is equal to the length of the third side.
Answer:
the answer is the third option
Step-by-step explanation:
Answer:
the three sides have the same length
Step-by-step explanation:
I just took the test
A bouncy ball is dropped such that the height of its first bounce is 4.5 feet and each successive bounce is 73% of the previous bounce's height. What would be the height of the 10th bounce of the ball? Round to the nearest tenth (if necessary).
The height of the 10th bounce of the ball will be 0.6 feet.
What is geometric sequence?A geometric sequence is a sequence in which each term is found by multiplying the preceding term by the same value.
What is the formula for finding the nth term of geometric sequence?The nth term of the geometric sequence is given by
\(\sf T_n=ar^{n-1}\)
Where,
\(\sf T_n\) is the nth term.r is the common ratioa is the first termAccording to the given question.
During the first bounce, height of the ball from the ground, a = 4.5 feet
And, the each successive bounce is 73% of the previous bounce's height.
So,
During the second bounce, the height of ball from the ground
\(\sf = 73\% \ of \ 10\)
\(=\dfrac{73}{100}(10)\)
\(\sf = 0.73 \times 10\)
\(\sf = 7.3 \ feet\)
During the third bounce, the height of ball from the ground
\(\sf = 73\% \ of \ 7.3\)
\(=\dfrac{73}{100}(7.3)\)
\(\sf = 5.33 \ feet\)
Like this we will obtain a geometric sequence 7.3, 5.33, 3.11, 2.23,...
And the common ratio of the geometric sequence is 0.73
Therefore,
The sixth term of the geometric sequence is given by
\(\sf T_{10}=10(0.73)^{10-1\)
\(\sf T_{10}=10(0.73)^{9\)
\(\sf T_{10}=10(0.059)\)
\(\sf T_{10}=0.59\thickapprox0.6 \ feet\)
Hence, the height of the 10th bounce of the ball will be 0.6 feet.
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use the circle unit to evaluate cos(23/6)
Given
\(\begin{gathered} \cos \text{ }\frac{23\pi}{6} \\ A\text{ complete revolution in a circle is 2}\pi \\ We\text{ have to re-write }\frac{23\pi}{6}\text{ in such a way that it will not be more than 2}\pi\text{ } \\ \text{Hence, } \\ cos\frac{23\pi}{6}\text{ = cos(}\frac{23\pi}{6}-\frac{24\pi}{6}) \\ \cos \text{(}\frac{23\pi}{6})\text{ = cos(}\frac{-\pi}{6}) \end{gathered}\)The representation on the unit circle is shown below
Going round the circle in the negative direction, we realize
\(\cos (\frac{-\pi}{6})\text{ = cos(}\frac{11\pi}{6})\text{ = }\frac{\sqrt[]{3}}{2}\)\(\text{The answer is }\frac{\sqrt[]{3}}{2}\)a box contains 46 red marbles, 58 white marbles, and 51 blue marbles.if a marble is randomly selected from the box,what is the probability that it is white or blue express your answer as a simplified fraction or decimal rounded to four decimal places
Given that the box contains 46 red marbles, 58 white marbles, and 51 blue marbles, you know that the total number of marbles the box contains is:
\(46+58+51=155\)In this case, let be A the event in which the randomly selected marble from the box is white, and B the event in which the randomly selected marble from the box is blue.
Since those events are independent, you can set up that the probability of randomly selecting a white marble or blue marble from the box is:
\(P(A\text{ }or\text{ }B)=P(A)+P(B)\)Knowing that there are 58 white marbles, you can determine that:
\(P(A)=\frac{58}{155}\)And knowing that there are 51 blue marbles, you can determine that:
\(P(B)=\frac{51}{155}\)Therefore:
\(P(A\text{ }or\text{ }B)=\frac{58}{155}+\frac{51}{155}\)\(P(A\text{ }or\text{ }B)=\frac{109}{155}\)Hence, the answer is:
\(P(A\text{ }or\text{ }B)=\frac{109}{155}\)A school is organizing a cookout where hotdogs will be served. The hotdogs come in small packs and large packs. Each small pack has 8 hotdogs and each large pack has 18 hotdogs. The school bought 13 packs of hotdogs that have a total of 164 hotdogs. Determine the number of small packs purchased and the number of large packs purchased.
a study of interior designers' opinions with respect to the most desirable primary color for executive offices showed the following. primary colornumber of opinions red80 orange74 yellow58 green79 blue49 indigo58 violet2 what is the probability that a designer does not prefer blue?
The probability that a designer does not prefer blue is approximately 0.8775, or 87.75%.
To calculate the probability that a designer does not prefer blue, we need to consider the number of opinions that do not prefer blue and divide it by the total number of opinions.
The number of opinions that do not prefer blue is the sum of opinions for all other colors except blue:
Number of opinions not preferring blue = Number of opinions for red + Number of opinions for orange + Number of opinions for yellow + Number of opinions for green + Number of opinions for indigo + Number of opinions for violet
= 80 + 74 + 58 + 79 + 58 + 2
= 351
Total number of opinions = Number of opinions for red + Number of opinions for orange + Number of opinions for yellow + Number of opinions for green + Number of opinions for blue + Number of opinions for indigo + Number of opinions for violet
= 80 + 74 + 58 + 79 + 49 + 58 + 2
= 400
Therefore, the probability that a designer does not prefer blue is:
P(Not preferring blue) = Number of opinions not preferring blue / Total number of opinions
= 351 / 400
≈ 0.8775
The probability that a designer does not prefer blue is approximately 0.8775, or 87.75%.
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Ex: Solve by reduction of order: 1) y ′′
+16y=0 given y 1
=cos4x
The general solution to the differential equation y'' + 16y = 0 is y(x) = (c₁ + c₂) * cos(4x)
To solve the differential equation y'' + 16y = 0 using reduction of order, we'll assume a second solution of the form y₂(x) = u(x) * y₁(x), where y₁(x) is a known solution and u(x) is an unknown function.
Given y₁(x) = cos(4x), we'll differentiate it to find y₁'(x) and y₁''(x):
y₁'(x) = -4sin(4x)
y₁''(x) = -16cos(4x)
Now we substitute y₂(x) = u(x) * y₁(x) into the original differential equation:
y'' + 16y = 0
(-16cos(4x)) + 16(u(x) * cos(4x)) = 0
Simplifying the equation:
-16cos(4x) + 16u(x) * cos(4x) = 0
cos(4x)(-16 + 16u(x)) = 0
For this equation to hold for all values of x, we must have (-16 + 16u(x)) = 0.
Solving for u(x):
-16 + 16u(x) = 0
16u(x) = 16
u(x) = 1
Now we have the second solution:
y₂(x) = u(x) * y₁(x)
y₂(x) = 1 * cos(4x)
y₂(x) = cos(4x)
Therefore, the general solution to the differential equation y'' + 16y = 0 is:
y(x) = c₁ * y₁(x) + c₂ * y₂(x)
y(x) = c₁ * cos(4x) + c₂ * cos(4x)
y(x) = (c₁ + c₂) * cos(4x)
Where c₁ and c₂ are arbitrary constants.
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HELP ME PLEASE!!!!! FAST ASAP HELP
PICTURE ATTACHED
A company logo is made up of a desire and two identical triangles as shown in this image
What is the area of the logo
The area of the logo is given as 139 cm
How to solve for the areaIn order to get the area of the shape, i would have to get the area of the triangles first
area of a triangle = 1/2 b * h
base = 9 / 2 = 4.5
h = 6
area = 1/2 * 9 * 6
= 27
Area of 2 triangle = 2 x 27
= 58
The are aof the square = a * a
= 9 * 9
= 81
The total area of the logo is given as 81 + 58
= 139 cm
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If B=(-13, -9, -7, -3), choose the set A that will make the following statement false.
BEA
OA is the set of negative odd integers
OA is the set of whole numbers
OA is the set of rational numbers
OA is the set of integers
The set A that will make the statement false is A is the set of whole numbers.
option B is the correct answer.
What are the elements of set A?To make the statement "B ⊆ A" false, we need to choose a set A that does not contain all the elements of set B.
The given elements of set B include;
B = (-13, -9, -7, -3)
If we consider the first option;
A is the set of negative odd integers
= {negative odd integers} = {-13, -9, -7, -3}
So the elements in the set will not make the statement false.
Let's consider the second option
A is the set of whole numbers.
Whole numbers are positive numbers, since elements in set B are all negative numbers, we can conclude that set B is not a subset of whole numbers.
Thus, option B is the correct answer.
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Members of a softball team raised $2089.50 to go to a tournament. They rented a bus for $1087.50 and budgeted $41.75 per player for meals. Write and solve an equation which can be used to determine x, the number of players the team can bring to the tournament.
The number of players the team can bring to the tournament would be = 24 players
What is softball game?The softball game is the type of game that involves two teams which is made up of 9. - 10 players.
The total amount of money raised by a softball team=
$2089.50
The amount of money spent on rented bus = $1087.50
The amount left after rent deductions= 2,089.50 - 1,087.50 = 1,002
The amount budgeted for meals for each player= $41.75
The number of players that would be brought for tournament= 1,002/41.75
= 24 players.
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4. Find H. C.F. of 60,75 & 90
Answer:
H.C.F = 15
Step-by-step explanation:
60 = 2 × 2 × 3 × 5
75 = 3 × 5 × 5
90 = 2 × 3 × 3 × 5
HCF = 3 × 5 = 15
How many F ratios (i.e. F statistic values) are figured in a two-way analysis of variance known as a 2x2 Factorial Design?
a) as many as there are cells in the design
b) 2
c) 3
d) 1
Therefore, the correct answer is c) 3, as there are three F ratios calculated in a 2x2 factorial design.
How many F ratios in a 2x2 Factorial Design?In a two-way analysis of variance (ANOVA) known as a 2x2
factorial design, there are three F ratios or F statistic values calculated. This design involves two independent variables, each with two levels or categories.
The three F ratios represent the main effects of each independent variable and the interaction between the two variables.The main effects F ratios determine whether there are significant differences between the levels of each independent variable individually, ignoring the other independent variable.
There will be two main effects F ratios, one for each independent variable.The interaction F ratio examines whether there is a significant interaction between the two independent variables. It determines whether the effect of one independent variable differs across the levels of the other independent variable.
This F ratio assesses the joint influence of both independent variables.
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Please help. Will mark brainlyest!
write the sequence of natural numbers which leaves the remainder 3 on didvidng by 10
The sequence of natural numbers that leaves a remainder of 3 when divided by 10 is:
3, 13, 23, 33, 43, 53, 63, 73, 83, 93, 103, 113, ...
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♥️ \(\large{\underline{\textcolor{red}{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)