Answer:
1). True
2). x = 16.4 m^2
3). A = 24, h = 4
4). A = 18.39
5). 162
Step-by-step explanation:
I took this quiz on K12 and got everything correct! Brainliest welcome! :)
Hayley's fuel bills for her house increased from £76 a month in 2021
to £89 a month in 2022. Calculate the percentage increase in Hayley's
fuel bills from 2021 to 2022.
Give your answer correct to three significant figures.
The percentage increase in Hayley's fuel bills from 2021 to 2022 is equal to 17.105%.
What is a Percentage Increase?
The phrase "percentage increase" (or "percentage change" in general) refers to the difference between the final and starting values of a quantity, expressed as a percentage of that number's original value.
Steps to Calculate Percentage Increase?
The formula to calculate Increase (I) is given by, [tex]I=Y-X[/tex], where [tex]X[/tex] is the original value and [tex]Y[/tex] is the new value.The percentage increase formula is given by, [tex]\%I=\frac{I}{X} \times 100[/tex]Here, in the question, it is given that,
The original amount (X) or the fuel bill in 2021 is £76.
The new amount (Y) or the fuel bill in 2022 is £89.
So, the Increase (I) in the fuel bills from 2021 and 2022 is calculated as,
[tex]I=Y-X\\\implies I=89-76\\\implies I=13[/tex]
Now, we can calculate the percentage increase in fuel bills from 2021 to 2022 as,
[tex]\%I=\frac{I}{X} \times 100\\\implies \%I=\frac{13}{76} \times 100\\\implies \%I=17.105\%[/tex]
Therefore, the percentage increase in Hayley's fuel bills from 2021 to 2022 is 17.105%.
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Given CB || ED,;CB=ED prove CBF= EDF using isometric ridged transformation outline the necessary transformation to prove CBF = EDF using a paragraph proof. Be sure to name specific sides or angles used in the transformation and any congruency statements
The given triangle is rotated about 180 degrees and as such, we can say that the triangle CBF is congruent to the triangle EDF.
How to prove congruent angles?
From the attached image, we see that CB is parallel to ED. We also see that the transversal lines are BD and CE.
The point E will become the image of point C by a rotation of 180° around the point F.
Now, the point D will be the image of point B by a rotation of 180° around the point F.
Rotation is a type of transformation and as such ΔEDF will be the image of ΔCBF.
Therefore we can conclude that ΔCBF ≅ ΔEDF
The second way to prove this congruency is as follows;
∠B = ∠D (Due to the fact that alternate angles are congruent)
∠C = ∠E (Due to the fact that alternate angles are congruent)
Now, since CB ≅ ED , then it means that ΔCBF ≅ ΔEDF by SAS congruency postulate
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Find the quotient.
2.4)7.68
Answer:0.3125
Step-by-step explanation:
none sry
How will the mode be affected if the outlier is removed from the data set below? 58, 60, 53, 54, 60, 35, 58, 60
will the mode decrease?
will the mode not change?
is there not enough information?
will the mode increase?
The mode will not change.
Given data,
58,60,53,54,60,35,58,60
Outlier is the value in a set of data that much higher or lower than other values in data.
from given data, outlier is 35.
Mode is the value in a set of data that occurs more frequently in set of data.
from given data, 60 occurs more frequently.
Hence, 60 is the mode of data.
If outlier is removed from the data set then it will not affect the mode of the data
Thus, the mode will not change.
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can anyone help with this
Answer:
bla blablablablabla
Step-by-step explanation:
blablablablablabla
Seven of the angles of a decagon have measures whose sum is 1220. Of the remaining 3 angles, exactly two are complementary and exactly two are supplementary. Find the measures of these three angles.
The measures of the remaining three angles of the decagon are 40, 50 and 130 degrees.
How to find angles of a decagon?A decagon simony means a polygon with 10 sides. In a regular decagon, the interior angles add up to 1440 degrees, and the exterior angles add up to 360 degrees.
Complementary angles sum up to 90 degrees while supplementary angles sum up to 180 degrees.
Therefore,
1440 - 1220 = 220
Let the angles be a, b and c.
Therefore,
a + b + c =220
a + b = 90
b + c = 180
Hence,
a = 220 - 180
a = 40°
b = 90 - 40
b = 50°
c = 180 - 50
c = 130°
The angles are 40°, 50° and 130°.
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one serving of a certain brand of yogurt contains 7g of fat. the low fat version contains 45.75% less fat per serving. how many grams of fat does one serving of the low fat yogurt contain?
The grams of fat that are contained in one serving of the low-fat yogurt are: 3.7968g.
How do we obtain the grams of fat for one serving of low-fat yogurt?To obtain the number of grams of fat that is contained in one serving of the low-fat yogurt, we need to first note the percentage content of the low-fat version of yogurt.
100 - 45.75% = 54.25% or 0.5425
Since one serving of the yogurt contains 7g of fat, then the low-fat serving will be equal to:
7g × 0.5425 = 3.7968
So, the total gram of fat for one serving of the low-fat yogurt is equal to:
3.7968g
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Find the value of x in the equation
4^x+16^x= 272
Answer:
x = 2
Step-by-step explanation:
y=2/3x-18 rate of change
The rate of change of the equation, y = 2/3x - 18, is: 2/3.
How to Determine the Rate of Change of a Linear Equation?The rate of change of a linear equation that is expressed in slope-intercept form as y = mx + b is represented by the value of m in the equation. It is also referred to as the slope of the equation.
For example, if we are given the equation, y = 4x + 5, the value of m is 4. This implies that the rate of change, which is the slope, is equal to 4.
In the same vein, we are given the equation, y = 2/3x - 18.
The value of m, which is the slope or rate of change in the equation y = 2/3x - 18 is equal to 2/3.
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Which of the following is the formula for the solutions of a quadratic equation ax2 + bx + c = 0?
what the area and pelase explain give brainly points
Answer: 10 squares
Step-by-step explanation:
The answer for the area is 10 squares but I’m not sure that’s what they’re asking for.
Find the value of x.
76
139
90°
X
63°
180°
41
90
The measure of the angle 'x' will be 41°. Then the correct option is c.
What is an angle?The inclination is the separation seen between planes or vectors that meet. Degrees are another way to indicate the slope. For a full rotation, the angle is 360 °.
Supplementary angle - Two angles are said to be supplementary angles if their sum is 180 degrees.
The measure of the angles will be 76° and 63°.
By the property Supplementary angle, the equation is given as,
76° + x + 63° = 180°
Simplify the equation, then we have
x + 139° = 180°
x = 180° - 139°
x = 41°
The measure of the angle 'x' will be 41°. Then the correct option is c.
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A telephone exchange operator assumes that 8% of the phone calls are wrong numbers.
If the operator is correct, what is the probability that the proportion of wrong numbers in a sample of 494 phone calls would differ from the population proportion by more than 3%? Round your answer to four decimal places.
The probability that the phone calls would differ from the population proportion by more than 3% is 0
How to determine the probability value?From the question, the given parameters about the distribution are
Proportion, p = 8%Sample size, n = 494The actual proportion, x = greater than 3%The mean is calculated as
Mean = np
So, we have
Mean = 8% * 494 = 39.52
The standard deviation is calculated as
Standard deviation = √np(1 - p)
So, we have
Standard deviation = √494 * 8% (1 - 8%) = 0.77
The z-score is calculated using the following formula
[tex]z = \frac{\bar p - p}{\sqrt{p(1 - p)}/n}[/tex]
Substitute the given parameters in the above equation
[tex]z = \frac{8\% - 3\%}{\sqrt{8\% * (1 - 8\%)}/494}[/tex]
Evaluate
z = 90.9
The probability is then calculated as:
P(x > 3%) = P(z > 90.9)
From the z table of probabilities, we have;
P(x > 3%) = 0
Hence, the probability is 0
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-4x=76 x equals _-____________________________________________________________________________________________________________________________________________________________--
The value of x in the equation -4x = 76 is 19.
What is equation?The equals sign is used in equations to indicate the equality of two expressions in a formula.
Given:
-4x = 76,
-x = 76 / 4,
x = -19
Therefore, the value of x in the equation -4x = 76 is 19.
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Find the formula, in standard form
y=ax2+bx+c , for a quadratic, that has roots at x=5+4√10 and x=5−4√10 , and has a leading coefficient of 1.
The quadratic equation in standard form that contains the roots 5 + 4√10 and 5 - 4√10 is y = x² - 10 · x - 135.
How to determine quadratic formula in standard form
In this question we must derive a quadratic equation in standard form, that is, a polynomial of the form:
y = a · x² + b · x + c
Where b / a = - r₁ - r₂ and c / a = r₁ · r₂ and r₁ and r₂ are the roots of the polynomial. If we know that a = 1, r₁ = 5 + 4√10 and r₂ = 5 - 4√10, then the quadratic equation is:
y = a · [x² + (b / a) · x + (c / a)]
y = x² + (- 5 - 4√10 - 5 + 4√10) · x + (5 + 4√10) · (5 - 4√10)
y = x² - 10 · x + 25 - 160
y = x² - 10 · x - 135
y = x² - 10 · x - 135 is the quadratic equation in standard form.
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Classify the polynomial by its degree: 4m³-9x² + 10
A) 0
B) 1st
C) 2nd
D) 3rd
E) 4th
Determine if the expression r - 5√r+r² is a polynomial or not. If it is a
polynomial, state the type and degree of the polynomial.
The expression r - 5√r+r² is a polynomial.
What is a polynomial?
Mathematical expressions called polynomials have one variable and many exponents.
The algebraic expression must have all of its exponents be non-negative integers in order for it to be a polynomial. As a general rule, an algebraic expression isn't a polynomial if it contains a radical.
No part of an algebraic expression should be - Variables' square roots. variable powers that are fractional. variable powers that are negative. variables in any fraction's denominator.
Exponents, variables, and constants make up a polynomial. The amount of terms a polynomial has determines its name.
Polynomials come in various varieties. Monomial, binomial, and trinomial, respectively.
The idea of the graph of a polynomial equation was first introduced by René Descartes in La géometrie, published in 1637.
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The expression r-5√r+r² is a polynomial. A polynomial is made up of variables, constants, and exponents.
Explain about the polynomial?Polynomials are mathematical expressions with one variable and several exponents.
The algebraic expression is a polynomial if and only if all of its exponents are non-negative integers. In general, if an algebraic expression contains a radical, it isn't a polynomial.
An algebraic expression should not contain any square roots of variables. fractional powers that are changeable. variable powers with negative powers. variables in the denominator of any fraction.
A polynomial is made up of variables, constants, and exponents. A polynomial's name is determined by the number of terms it contains.
There are numerous types of polynomials. respectively a monomial, a binomial, and a trinomial.
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I can determine if a relation is a
function.
1. Use vertical line test to determine if
the graph is a function. Why or why not?
71
(
7
2
Z
2
4
Answer:
1st Graph : Function
2nd Graph : Not a Function
Step-by-step explanation:
For the 1st Graph , any Vertical Line will not pass the Graph in more than one Point , So it represents a Function
For the 2nd Graph , many Vertical Line will pass the Graph in two Points , So it is not a Function
100 POINTS!!!
2. Millicent's password for a website is a 5-digit number. The digits are the prime factors of 2,205 listed from least to greatest. What is Millicent's password?
33577
D 35577
B 33557
A 33357
Answer:
Step-by-step explanation:
I
You owe $46,212.35 on a student loan that carries an APR of 6.9%. You place the loan into forbearance for 5 years. How much do you owe on the loan when it comes out of forbearance?
You owe on the loan is $64512.90
Given,
In the question:
You owe $46,212.35 on a student loan that carries an APR of 6.9%. You place the loan into forbearance for 5 years.
To find the how much do you owe on the loan when it comes out of forbearance?
Now, According to the question:
Based on the given conditions,
Formulate;
You owe $46,212.35 on a student
Interest is 6.9%
46212.35 x (6.9% +1)^5
Evaluate the equation/expression:
64512.90
Hence, You owe on the loan is $64512.90
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A company that most adults would erase all of their personal data online if they could. In order to test this claim, a GFI Software Survey of 565 randomly selected adults showed that 59% of them would erase all of their personal information online if they could.
A. State the null and alternative hypotheses (in symbols).
B. Explain what a Type 1 and a Type 2 error would be in this case.
C. State the conclusion if the null hypothesis is rejected.
D. State the conclusion if the null hypothesis is not rejected.
a) The null and alternative hypothesis are given as follows:
Null: [tex]H_0: p \leq 0.5[/tex]Alternative: [tex]H_1: p > 0.5[/tex]b) The errors are given as follows:
Type I: A sample which gives enough evidence that most people would erase the data, if in reality they wouldn't.Type II: A sample in which the proportion of people that would erase their data isn't significantly above 50%, when in fact it is.c) The conclusion of a rejected null hypothesis is: There is enough evidence that most adults would erase their data if they could.
d) The conclusion of a not rejected null hypothesis is: There is not enough evidence that most adults would erase their data if they could.
What are the hypothesis tested?At the null hypothesis, it is tested if there is not enough evidence that most adults would erase all of their personal data online if they could, that is, if the proportion is not greater than 50%, hence:
[tex]H_0: p \leq 0.5[/tex]
At the alternative hypothesis, it is tested if there is enough evidence that they would erase the information, that is, if the proportion is greater than 50%, hence:
[tex]H_1: p > 0.5[/tex]
A rejected null hypothesis means that the alternative hypothesis is accepted, that is, there is enough evidence that most adults would erase their data if they could.
A not rejected null hypothesis, conversely, means that there is not enough evidence that most adults would erase their data if they could.
What are type I and type II errors?Type I errors are when a true null hypothesis is rejected. Hence, the context of this problem, it would mean a sample which gives enough evidence that most people would erase the data, if in reality they wouldn't.
Type II errors are when a false null hypothesis is not rejected. Hence, the context of this problem, it would mean a sample in which the proportion of people that would erase their data isn't significantly above 50%, when in fact it is.
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Laura and Kirk are comparing how much they have been running. Laura has already
run 36 miles and Kirk has run 64. Laura begins running 21 miles per week and Kirk runs 17 miles
per week. How many additional weeks, w, will it take for their total distance run to be equal?
The additional weeks, w, will it take for their total distance run to be equal is 7 weeks.
How to calculate the number of weeks?From the information, Laura has already
run 36 miles and begins running 21 miles per week. This will be 36 + 21w.
Kirk has run 64 miles and runs 17 miles per week. This will be 64 + 17w
where w = number of weeks
This will be equated as:
36 + 21w = 64 + 17w
Collect like terms
21w - 17w = 64 - 36
4w = 28
Divide
w = 28/4
w = 7
It'll take 7 weeks.
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please help me and please hurry. also please show working clearly!!
Answer:
The limit does not exist
Step-by-step explanation:
This is because the left hand limit is 3,we know this because as the graph approaches from the left side of the Cartesian plan the open dot is on 3
and the right hand limit is 1 because as the graph approaches the X=1 from the right hand side the open dot lands on 1
Since the left hand limit doesn't equal to right hand limit,the overall limit of x=1 doesn't exist.
What is the mean of these numbers? 53 29 47 36 65
rewrite 11/12 in two different ways
Gavin deposited money into his savings account that is compounded annually at an interest rate of 9% Gavin thought the equivalent quarterly interest rate would be 2.25% is Gavin correct?
The quarterly interest rate is equal to 2.25%. This implies that Gavin is correct.
How to determine the value of equivalent quarterly interest rate?Mathematically, the compound interest on an investment can be calculated by using this formula:A(t) = P(1 + r/n)^{nt}
Where:A represents the future value.
r represents the interest rate.
n represents the number of times compounded.
P represents the principal.
T represents the time measured in years.
In this scenario, Gavin's savings account is compounded annually at an interest rate of 9%. This ultimately implies that, the equivalent quarterly interest rate would be calculated by dividing the annual interest rate of 9% by 4 as follows:
Quarterly interest rate = 9/4
Quarterly interest rate = 2.25%
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Use f(x) = 4x - 3 and g(x) = 5 - x2 to evaluate the expression.
(a)
(f o g)(x)
(b)
(g o f)(x)
A
The expression will be; part (a) (f o g)(-2) = 2 and part (b) (g o f)(-2) = -95
What is an expression?Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Given the functions as;
f(x)=4x-2
g(x)=5-x^2
We need to find (f o g)(-2)
So, first, we will find the function (f o g)(x) as follows:
[tex]\begin{gathered} \mleft(f\circ g\mright)(x)=f\lbrack g(x)\rbrack=4(5-x^2)-2 \\ (f\circ g)(x)=20-4x^2-2 \\ (f\circ g)(x)=18-4x^2 \end{gathered}[/tex]
Now, substitute with x = -2 then we get;
[tex](f\circ g)(-2)=18-4\cdot(-2)^2=18-4\cdot4=18-16=2[/tex]
Thus, the answer to the part is (a) (f o g)(-2) = 2
b) (g o f)(-2)
We need to find (g o f)(x) as follows:
[tex](g\circ f)(x)=g\lbrack f(x)\rbrack=5-(4x-2)^2[/tex]
Now Substitute with x = -2, then we get;
[tex]\begin{gathered} (g\circ f)(-2)=5-(4\cdot-2-2)^2 \\ =5-(-8-2)^2 \\ =5-(-10)^2 \\ =5-100 \\ =-95 \end{gathered}[/tex]
Thus, the answer to the part (b) is (g o f)(-2) = -95
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Graph a linear function with the given slope and y-intercept slope:3 y-intercept: 10
The equation of a line is given by:
y = mx + c
where m is the slope of the line and c is the y-intercept.
The linear function with a slope of 3 and y-intercept of 10 is y = 3x + 10.
\What is an equation of a line?The equation of a line is given by:
y = mx + c
where m is the slope of the line and c is the y-intercept.
Example:
The slope of the line y = 2x + 3 is 2.
The slope of a line that passes through (1, 2) and (2, 3) is 1.
We have,
Slope = 3
y-intercept = 10
The equation of a line is given as y = mx + c
m = slope
c = y-intercept
Now,
m = 3
c = 10
So,
The linear function with a slope of 3 and y-intercept of 10 is y = 3x + 10.
Thus,
The linear function with a slope of 3 and y-intercept of 10 is y = 3x + 10.
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Pixel A is located 80 km from the Jacksonville radar. How many seconds did it take for the radar pulse to travel to the target at Pixel A and return to the radar? (It will be a very small answer!)
C= 3 × 10^8 m s−1
R= 80,000
R= CT/2
[tex]C=3\times 10^8~\frac{m}{s}\hspace{5em}R=80000\implies R=8\times 10^4 \\\\[-0.35em] ~\dotfill\\\\ R=\cfrac{CT}{2}\implies 2R=CT\implies \cfrac{2R}{C}=T\implies \cfrac{2(8\times 10^4)}{3\times 10^8}=T \\\\\\ \cfrac{16\times 10^4}{3\times 10^8}=T \implies \cfrac{16}{3}\times\cfrac{10^4}{10^8}=T\implies \cfrac{16}{3}\times\cfrac{1}{10^8\cdot 10^{-4}}=T \\\\\\ \cfrac{16}{3}\times\cfrac{1}{10^{8-4}}=T \implies \cfrac{16}{3\times 10^4}=T\implies \cfrac{16}{30000}=T\implies \cfrac{1}{1875}=T[/tex]
3x ≥5 or -3/5x-3>7 solve the compound inequality
By using the concept of linear inequation, the required solution is
[tex]x > \frac{5}{3} \ or \ x < -\frac{50}{3}[/tex]
What is linear inequation?
Inequation shows the comparision between two algebraic expressions by connecting the two algebraic expressions by [tex]> , < . \geq, \leq[/tex]
A one degree inequation is known as linear inequation.
Here the given linear inequation is
[tex]3x \geq 5 \ or \ \frac{-3}{5}x -3 > 7[/tex]
Now
[tex]3x \geq 5 \ or \ \frac{-3}{5}x -3 > 7\\\\x \geq \frac{5}{3} \ or \ \frac{-3}{5} x > 7 + 3\\\\x \geq \frac{5}{3} \ or \ \frac{-3}{5}x > 10\\\\x > \frac{5}{3} \ or \ x < \frac{10 \times 5}{-3}\\\\x > \frac{5}{3} \ or \ x < -\frac{50}{3}[/tex]
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