The equation of the parabola that similar to f(x) = [tex]7x^2[/tex] but the vertex is (3, 5) in the standard form is y = [tex]7(x-3)^2[/tex] + 5
The equation of the parabola
f(x) = [tex]7x^2[/tex]
The standard vertex form of a parabola is
y = [tex]a(x-h)^2[/tex] + k
The coordinates of the vertex of a parabola = (3, 5)
Where (h, k) is the coordinates
From the given function of the parabola f(x) = [tex]7x^2[/tex]
The value of a = 7
Substitute the values in the vertex form of a parabola
y = [tex]7(x-3)^2[/tex] + 5
Hence, the equation of the parabola that is similar to f(x) = [tex]7x^2[/tex] but the vertex is (3, 5) in the standard form is y = [tex]7(x-3)^2[/tex] + 5
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3. The mean of five positive numbers is 4. When another number is added, the mean becomes 8. Find the number added.
the answer
Answer:
28
Step-by-step explanation:
mean is when you add all the numbers divide it by the amount of terms
So to find the sum of the terms we just multiply 5 by 4
20 is the sum and since the mean is 8 with 6 terms we multiply those also
8x6
48 and to find the number we subtract 48 by 20
48-20
28
Hopes this helps please mark brainliest
Find the Length of X , please show how you found your answer
The length of the x is 4.8 units
In the given figure
There is one circle and 2 chords
The chord of the circle is defined as the line segment joining any two points one the circumference of the circle
There are two chords in the figure, those are BD and AC
We know that
DE × EB = AE × EC
This is the rule of chords in the circle
The length of DE = 10 units
The length of EB = x units
The length of AE = 6 units
The length of EC = 8 units
Substitute the values in the equation
10 × x = 6 × 8
10x = 48
x = 48/10
x = 4.8 units
Hence, the length of the x is 4.8 units
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What is the value of x, given that the two pyramids are similar?
OA. 8
OB. 18
O C. 6
D. 24
8
8
6
24
24
The value of x is 18 which is option B.
Given:
Two pyramids are similar.
if two figures are similar then the ratio of their sides are equal.
So, 24/8 = x/6
24*6 = 8*x
144 = 8x
divide by 8 on both sides
8x/8 = 144/8
x = 144/8
x = 18.
Therefore the value of x is 18 which is option B.
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The tape diagram shows that there are 90 teeth on a comb.
Teeth
90
Complete the table to show different percentages of the teeth on the comb.
90
100%
Percentage
% of 90 teeth
% of 90 teeth
The asked percentages are given as
1. 90 is 100% of 90.
2. 9 is 10% of 90.
3. 27 is 30% of 90.
Explain percentage.A percentage is a particular number or fraction in every hundred. The denominator of the fraction is 100, and it is represented by the symbol "%."
The purpose of percentage calculations is to determine the percentage of a whole in terms of 100. A percentage can be determined using one of two methods:
Through the unitary approach.By making 100 the new denominator of the fraction.It should be noted that when the denominator is not a power of 100, the second technique of percentage computation is not used.
Given, a comb has 90 teeth.
1. Find out what percentage of 90 is 90 now.
Let the percentage be x,
(x/100) × 90 = 90
x = (90 × 100)/90
x = 100 %
2. Now, find what percent of 90 is 9.
Let the percentage be x,
(x/100) × 90 = 9
x= (9 × 100)/ 90
x = 10%
3. Now, find what percent of 90 is 27.
Let the percentage be x,
(x/100) × 90 = 27
x= (27 × 100)/ 90
x = 30%
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Can someone help Solve for x.
1. If f(2)= -5, what does 2 represent?
2. If f(2)=-5, what does -5 represent?
3. What does f(2)= -5 mean?
In the function f(2)= -5, 2 is the preimage of the function and 5 is an image of the function.
What is a function?
A unique kind of relation called a function is one in which each input has precisely one output. In other words, the function produces exactly one value for each input value. The graphic above shows a relation rather than a function because one is mapped to two different values. The relation above would turn into a function, though, if one were instead mapped to a single value. Additionally, output values can be equal to input values.
The x-values are input into the function machine. The function machine then performs its operations and outputs the y-values. The function within can be any function.
Suppose that f(a) = b
In that case, element "b" is the image of element "under the function," while element "a" is the preimage of element "under the function."
In the given function f(2)= -5
2 is the preimage of the function and 5 is an image of the function.
Hence, the 2 is the preimage of the function and 5 is an image of the function.
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the p-value is 0.026, so we reject the null hypothesis and accept the alternative hypothesis. we conclude that this year the proportion of americans who support federal spending cuts to medicaid is less than 0.12 what type of error is possible here?
The proportion of Americans who support federal spending cuts to Medicaid is less than 0.12 leads to Type 1 error.
What is Type 1 error and Type 2 error?When we reject a true H₀ it is known as type 1 error. The probability of type 1 errors is inversely proportional to the amount of confidence you choose. There is a 5% possibility of receiving a type 1 error on a test with a 95% confidence level.
When we feel to reject a false H₀ it is known as type 2 error.
H₀:P= 0.12
Hₐ:P= 0.12
The question implies that we actually rejected the null hypothesis, while there is a chance that it is true and we are rejecting a true null hypothesis.
Therefore, it only suggests that there is a possibility that we will make a type 1 error.
Consequently, Type 1 error is the response to our query.
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in a sale, prices are reduced by 12%. Hani bought a pair of boots for the sale price of £61.60. what was the original price of the boots?
Answer: $68.99
Step-by-step explanation:
12% of 61.60 is 7.39200, if you simplify the total, you would get 7.39. Then, you add the total with the sale price to get the original price. Which in this case is $68.99.
SKIING Gavin is working on an animated film about skiing. The figure shows a ski slope, represented by AB, and one of the chairs on the lift, represented by point C
Answer:
The value of x=35 and the co-ordinates at the top of the chair lift are (35,20).
What are co-ordinates?
Coordinates are a pair of integers (Cartesian coordinates), or sporadically a letter and a number, that identify a certain place on a grid, also referred to as a coordinate plane. The x axis (horizontal) and y axis are the two axes that make up a coordinate plane (vertical).Step-by-step explanation:
Given:
20 = 1/2x + 5/2
20 * 2 = x + 5
40 = x + 5
x = 35
Therefore, the co-ordinates of the chair at the top of the chair lift are (35,20)
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you are taking out candies one by one from a jar that has 10 red candies, 20 blue candies, and 30 green candies in it. what is the probability that there are at least 1 blue candy and 1 green candy left in the jar when you have taken out all the red candies?
The required probability that there are at least 1 blue candy and 1 green candy left in the jar when you have taken out all the red candies is 7/12 .
Probability is defined as the ratio of total numbers of outcomes of an event to the favouable outcomes of an event.
We have , Red candies in the jar = 10
green canides in the jar = 30
blue candies in the jar = 20
total number of candies in jar = 60 i.e total number of outcomes = 60
The Probability that the last of sixty candies drawn is one of thirty green candies = 30/60 = 1/2
Ignoring green canides, probability that the last of the thirty other candies drawn is one of twenty blue = 20/30 = 2/3
The Probability that the last of sixty candies drawn is one of twenty blue candies = 20/60 = 1/3
The Probability that the last of sixty candies drawn is not one of twenty blue candies = 1 - 1/3
= 2/3
Probability that last draw would be blue and the last not blue would be green = 20/60 × 30/40
= 1/4 ----(1)
Probability that last draw would be green and the last not green would be blue = 30/60× 20/30
= 1/3 ------(2)
Now , Required probability that last draw would be either blue or green canidy = sum of above probabilty from equation (1)and (2)
= 1/4 + 1/3 = 7/12
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List the independent and dependent variables
H(x)=3+0.5x
x is the independent variable and H(x) is the dependent variable
How to determine independent and dependent variables?
A dependent variable is a variable whose value depends upon independent variables.
An independent variable is a variable that does not depend on any other variable for its value.
For example, in an expression, y = 3x + 2, x is an independent and y is a dependent variable because y depends on x for its value
Given: H(x) = 3+0.5x
Therefore, x is the independent variable and H(x) is the dependent variable because it is a function of x
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A 7-meter roll of blue ribbon costs $12.04. What is the unit price?
The unit price for a 7-meter roll of blue ribbon costs $12.04 is $1.72.
What is unit price?The unit price is simply used to calculate the price that's paid for each good.
In this case, the 7 -meter roll of blue ribbon costs $12.04. Therefore, to get the unit price goes thus:
= Total amount paid / Number of meters
= $12.04 / 7
= $1.72
The unit price is $1.72.
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A shelf and bracket are shown below. The shelf is
perpendicular to the wall.
Note: The figure is not drawn to scale.
What angle (x), in degrees, does the bracket make
with the wall?
Using the concept of the sine function, the bracket made an angle of 51.37° with the wall.
What is a sine function?The sine of an angle is represented by the trigonometric function sin x, where x is the angle under consideration. The ratio between a right-angled triangle's perpendicular and the hypotenuse is known as the sine function. In other words, the hypotenuse is the ratio of the side opposite to the angle being discussed, and its value changes as the angle do. The sine function is used in physics to depict sound and light waves.
Use the trigonometric function sinθ = perpendicular/ hypotenuse
From the given figure, in accordance with ∠x
Perpendicular = 2.5 ft
Hypotenuse = 3.2 ft
So, sinx = 2.5/ 3.2
sinx = 0.78125
x = sin⁻¹(0.78125)
x = 51.37°
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If Tristan borrows $4000 at an interest rate of 7.4% with a loan term of 3 years, how much does Tristan pay interest
The amount of Interest Tristan pays is $955.2
Given:
Tristan borrows $4000 at an interest rate of 7.4% with a loan term of 3 years.
we are asked to determine the interest Tristan pays for it:
we know:
P = $4000
r = 7.4%
t = 3 years.
Evaluate :
I = 4000(1+7.4%)³ - 4000
I = 4000(1+0.074)³ - 4000
I = 4000(1.074)³ - 4000
I = 4000(1.2388) - 4000
I = 4955.2 - 4000
I = 955.2
Hence we get the required interest as $955.2
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what is the perimeter of a square if it's area is 81mm ²
Answer:
36 mm
Step-by-step explanation:
from the area we find the side by taking the square root, having found the side we multiply it by 4 and we have the perimeter, we can solve it with a simple expression that summarizes what I wrote
4√81 =
4 × 9 =
36 mm
the fast-food smoothie contains only a small amount of fruit. it has 76 g of sugar. if there are 4 g of sugar in a teaspoon of sugar, how many teaspoons of sugar are in this fast-food smoothie?
The total amount of sugar which contains in 4 grams of sugar = 304 grams.
Amount of sugar fast food smoothie has = 76 gram
amount of sugar a teaspoon of sugar contains = 4 gram
Thus the total amount of sugar which contains in 4 grams of sugar = 4 × 76
this implies the total amount of sugar which contains in 4 grams of sugar = 304 grams
In this question we used the unitary method where we multiplied a quantity with a known quantity to find the value of an unknown quantity.
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Find the diagonal of a rectangle with sides 7 in and 24 in
You can use the hypotenuse formula, e.g., from the Pythagorean theorem calculator, to estimate the diagonal of a rectangle, which can be expressed with the following formula: d² = l² + w², and now you should know how to find the diagonal of a rectangle explicit formula - just take a square root: d = √ (l² + w²).
If x=-3 and y =2 , then x^y +xy^=?
Answer:
[tex]\frac{73}{8}[/tex]
If u mean that x^y+y^x then the above answer is correct. You can more simplify it in decimals if you want.
Help Please!
Solve the inequality and graph it’s solution.
The solution of given inequality is x≤-2.
What is inequality?
Inequality (mathematics), a relation between two numbers or quantities indicating which of them is greater or smaller. An inequality is denoted by the symbol <, which is drawn pointed toward the smaller number.
The meaning of inequality is to say that two things are NOT equal. One of the things may be less than, greater than, less than or equal to, or greater than or equal to the other things.
p ≠ q means that p is not equal to q
p < q means that p is less than q
p > q means that p is greater than q
p ≤ q means that p is less than or equal to q
p ≥ q means that p is greater than or equal to q.
Given, inequality
8x - 5x ≤ -6
3x ≤ -6
x≤ -6/3
x≤ -2.
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the option a is the correct option.
An athlete ran a total of 1,500 kilometer in race before retiring. The athlete finihed thirty-two 15-kilometer race. The ret were 10-kilometer race. How many of the race were 10-kilometer race?
The number of races that were 10-kilometer long is 102.
An athlete ran a total of 1,500 kilometers in a race before retiring. The athlete completed 32 races that were at least 15 kilometers in length. The rest were 10-kilometer races. We need to find out the number of races that were 10-kilometer long.
Let the number of races that were 10-kilometers long be denoted by the variable "x". An equation is a formula in mathematics that expresses the equivalence of two expressions by linking them with the equal sign. We can write the equation as given below.
32×15 + 10x = 1,500
480 + 10x = 1,500
10x = 1,500 - 480
10x = 1,020
x = 1,020/10
x = 102
Hence, the number of races that were 10-kilometer long is 102.
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Find the slope of the following graph
Answer:
3/2x
Step-by-step explanation:
What is the equation of the line in slope-intercept form?
Answer:
4x+3y=12
Step-by-step explanation:
y=mx+b
m=-4/3,b=4
y=mx+b
y=-4/3x+4
3(y=-4/3x+4)
3y=-4x+12
4x+3y=12
please rate it,thanks.
a data analyst is using statistical measures to get a better understanding of their data. what function can they use to determine how strongly related are two of the variables?
The correlation coefficient can be used to get a better understanding and to determine the extent of a strong relation between two variables.
In a statistical setting, two or more variables are said to be connected if their values fluctuate in such a way that as the value of one variable rise or falls, the value of the other variable does the same (although it may be in the opposite direction).
For instance, there is a relationship between the two variables "hours worked" and "revenue earned" if a rise in hours worked is correlated with an increase in income earned. When considering the two factors "price" and "purchasing power," the ability of a person to purchase items reduces as the price of those goods rises (assuming a constant income).
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Complete the statement. Round to the nearest hundredth if necessary.
64 lb kg
Answer: you are dummy
Step-by-step explanation:dummy
-3x -18 = -6
SO MUCH MATH I CANT DO
Answer:
x=-4
Step-by-step explanation:
-3x-18=-6
-3x=12
x=-4
Answer: x=-4
Step-by-step explanation:
Start off with the equation: -3x-18=-6
Add 18 to both sides: -3x=12
Divide by -3: x=-4
Hope this helped!
HELP ME PLEASE ASAP MATH PLEASE HELP Ill give brainlyless if someone do it right and help me
Juan wants to buy a video game for $63 He saves every Friday $12.
An equation to represent Juan’s total savings, , in dollars, after Fridays y is
Part A is
y =12x
Fridays will it take for Juan to save up enough money for the video game is .
Part B
y > 63
12 x > [tex]5\frac{1}{4}[/tex]
x = 6
so
That means 6 fridays
An equation to represent Juan’s total savings, , in dollars, after Fridays y is 12 x Fridays will it take for Juan to save up enough money for the video game is 6 friday.To learn more about total savings refer to:
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What is the perimeter of a pentagon ABCDE with given vertices at A(4, -2), B(4, 10), C(7, 10), D(15, 4), E(7, -2)
Answer:
38 units
Step-by-step explanation:
You want the perimeter of pentagon ABCDE with vertices at A(4, -2), B(4, 10), C(7, 10), D(15, 4), E(7, -2).
PerimeterThe perimeter of a plane figure is the sum of the lengths of its sides.
Vertical, Horizontal sidesBy counting grid squares, or subtracting coordinates, you can find the lengths of the vertical and horizontal segments easily:
AB = 12, BC = 3, EA = 3
Diagonal sidesThe lengths of the diagonal segments can be found using the distance formula or your knowledge of Pythagorean triples. Counting grid squares (or subtracting coordinates), you see that each diagonal side has a vertical distance of 6 and a horizontal distance of 8. These correspond to twice the lengths of the sides in a 3-4-5 triangle, so you know the diagonal length is twice the hypotenuse: 2·5 = 10.
The Pythagorean theorem, or the distance formula, will tell you the same thing:
c² = a² +b² . . . . . . Pythagorean theorem for sides a, b, hypotenuse c
c = √(a² +b²)
diagonal length = √(6² +8²) = √100 = 10
Then the remaining two sides are ...
CD = 10, DE = 10
ApplicationThe perimeter is ...
perimeter = AB +BC +CD +DE +EA
= 12 +3 +10 +10 +3 = 38 . . . units
The perimeter of pentagon ABCDE is 38 units.
4) Simplify the expression and identify any restrictions on x.
Answer:
6X/X^2-2X+1
Step-by-step explanation:
x
2
−3x+2
9x
2
+18x
÷
2x−4
3x
2
+3x−6
Divide
x
2
−3x+2
9x
2
+18x
by
2x−4
3x
2
+3x−6
by multiplying
x
2
−3x+2
9x
2
+18x
by the reciprocal of
2x−4
3x
2
+3x−6
.
(x
2
−3x+2)(3x
2
+3x−6)
(9x
2
+18x)(2x−4)
Factor the expressions that are not already factored.
3(x−2)(x+2)(x−1)
2
2×9x(x−2)(x+2)
Cancel out 3(x−2)(x+2) in both numerator and denominator.
(x−1)
2
2×3x
Expand the expression.
x
2
−2x+1
6x
(jk−1)÷j when j=−4 and k=−0.9
The numerical value of the expression ( jk−1 )÷j when j=−4 and k=−0.9 is -0.65.
What is the numerical value of the given expression?Given the expression in the question;
( jk − 1 ) ÷ jj = -4k = -0.9To determine the numerical value of the expression, plug in the values of j and k and then simplify.
( jk − 1 ) ÷ j
Plug in j = -4 and k = -0.9
( jk − 1 ) ÷ j
( (-4 × -0.9) − 1 ) ÷ (-4)
Simplify
( 3.6 − 1 ) ÷ (-4)
( 2.6 ) ÷ (-4)
-0.65
Therefore, the value of the expression is -0.65.
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45 point reward if you help !! Find the volume of each shape and then compare do not reduce your fractions.
Answer:
150/512 < 64/125
Step-by-step explanation:
5/8 * 6/8 * 5/8 = 150/512 = 0.295
4/5 *4/5 * 4/5 = 64/125 = 0.512
Therefore: 0.295 < 0.512 or 150/512 < 64/125