Answer;
D. 1:20
Explanation
According to the question, we are given the following
Total revenue = 1 dollars
Debt interest = 5cents
Ratio of debt interest to total revenue = 5cents : 1 dollar
Since 1 dollar = 100cents
ratio of debt interest to total revenue = 5cents : 100cents
ratio of debt interest to total revenue = 5/100 = 1/20
Hence the ratio of debt interest to total revenue is 1:20
8 Kiara has a bag with 9 oranges. She shares the oranges between 3 friends and herself. Write an equation to model the situation. How many oranges does each person receive?
9 oranges shared between 4 persons
x = 9/4
Oranges for each person = 9/(number of persons)
In this case, number of persons = 4
Oranges for each person = 9/4
Oranges for each person = 2.25 oranges (also we can write 2 1/4)
Please break down how to do these pls
The value of given expressions is -4[tex]x^{-2}[/tex] + 3[tex]y^{0}[/tex] = 19 and 2[tex]x^{0}[/tex][tex]y^{-2}[/tex] = 0.08
Simplifying an equation is simply another way of saying solving a math problem. When you simplify a phrase, you are attempting to write it in the simplest way feasible. In conclusion, there should be no more adding, subtracting, multiplying, or dividing to do.
Given expression 1. -4[tex]x^{-2}[/tex] + 3[tex]y^{0}[/tex] 2. 2[tex]x^{0}[/tex][tex]y^{-2}[/tex]
Expression for x =2 and y=5
-4x-2 + 3y0
= -4(2)-2 + 3(5)0
= 16+3
=19
Now
2x0y-2
= 2(2)0x(5)-2
= 2 x (1/25)
= 2 x 0.04
= 0.08
Therefore the value of given expressions is -4[tex]x^{-2}[/tex] + 3[tex]y^{0}[/tex] = 19 and 2[tex]x^{0}[/tex][tex]y^{-2}[/tex] = 0.08
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can u tell me what the answer are ????
Answer:
Step-by-step explanation:
x = 10
y = -1
See pics for explanation:-
Hope it helps :)
Can you please help me with this questions Find the critical value t(alpha/2) corresponding to the 95% confidence interval
Answer:
df = 49
t = 2.01
Explanation:
The degrees of freedom for the t-distribution is always equal to the size of the sample n minus 1, so the degrees of freedom are:
df = n - 1
df = 50 - 1
df = 49
Then, the critical value is t(alpha/2) can be calculated using a t table with 49 degrees of freedom, where
alpha = 100% - 95% = 5%
So, alpha/2 = 5%/2 = 2.5%
Therefore, using a table, we get:
[tex]t_{\frac{\alpha}{2}}=2.01[/tex]So, the answers are:
df = 49
t = 2.01
Learning Target #1: Creating and Solving Linear Equations11. Short Response #1: The perimeter of a rectangle is 130 ft. The length of the rectangle is 9 feetshorter than it is wide. What are the dimensions of the rectangle? (Hint: P = 2w + 2L) (4 points)Length:Width:
P = 2w + 2L
w = L - 9
Find the y-intercept and x-intercept of the line 6x-2y=12
The expression we have is:
[tex]6x-2y=12[/tex]This is the equation of the line.
To find the y-intercept, we need to find the value for y, when x is equal to 0. So we plug x=0 into our equation:
[tex]6(0)-2y=12[/tex]And we solve for y:
[tex]-2y=12[/tex]Divide both sides by -2:
[tex]\begin{gathered} \frac{-2y}{-2}=\frac{12}{-2} \\ y=-6 \end{gathered}[/tex]The y-intercept is at y=-6
In the coordinate form, the y-intercept is (0,-6)
Now, to find the x-intercept, we need to find the value of x, when y=0.
So we plug y=0 into the equation:
[tex]6x-2(0)=12[/tex]And we solve for x:
[tex]6x=12[/tex]Divide both sides by 6:
[tex]\begin{gathered} \frac{6x}{6}=\frac{12}{6} \\ x=2 \end{gathered}[/tex]The x-intercept is at x=2
In coordinate form, the x-intercept is: (2,0)
Answer:
2,-6
Step-by-step explanation:
the app is desmos btw- very helpful
which of the binomials below is a factor of this trinomial? x^2+14x+40A. x-9B. x+10C. x+14D. x^2 + 40
Given the following trinomial expression:
[tex]x^2+14x+40[/tex]To factor the trinomial, we need two numbers:
The product of them = 40
The sum of them = 14
The factors of 40 will be as follows:
40 = 1 x 40 ⇒ sum = 41
40 = 2 x 20 ⇒ sum = 22
40 = 4 x 10 ⇒ sum = 14
40 = 5 x 8 ⇒ sum = 13
so, the numbers will be 4 and 10
The factoring of the expression will be as follows:
[tex]x^2+14x+40=(x+4)(x+10)[/tex]So, the answer will be B. x+10
Logarithm 9) solve for P ( in terms of Q)Log (P - Q) = lop P - log Q
we have the expression
[tex]\text{log (P}-Q)=\log P-\log Q[/tex]Applying properties of log right side
[tex]\text{log (P}-Q)=\log (\frac{P}{Q})[/tex]Equate the numbers inside the parenthesis
[tex]P-Q=\frac{P}{Q}_{}[/tex]Solve for P
[tex]P-\frac{P}{Q}=Q[/tex][tex]P\lbrack1-\frac{1}{Q}\rbrack=Q[/tex][tex]P=\frac{Q}{\lbrack1-\frac{1}{Q}\rbrack}[/tex]Simplify
[tex]P=\frac{Q^2}{Q-1}[/tex]use the figure at the right . if JK =3x+18 and NO=18, what is the value of x?
You have the following information:
JK = 3x + 18
NO = 18
You can notice that segment JM and MK are equal, furthermore, JK = JM + MK.
Then, JK = 2JM. From this expression you obtain:
JM = JK/2
By replacing the given expression for JK you have:
JM = (3x + 18)/2 = 3/2 x + 9
Moreover, you can notice that segments JM and NO are qual. Then, you have:
JM = NO you replace the expressions for JUM and NO
3/2 x + 9 = 18 subtract 9 both sides
3/2 x = 18 - 9
3/2 x = 9 multiply both sides by 2/3
x = 9(2/3)
x = 18/3
x = 6
Hence, the value of x is x = 6
I am needing help on how to this step by step please
The pattern will look like this:
[tex]\begin{gathered} \frac{20}{10}=2=2(10)^0 \\ \frac{20}{10^2}=\frac{2}{10}=2(10)^{-1} \\ \frac{20}{10^3}=\frac{2}{100}=2(10)^{-2} \\ \frac{20}{10^4}=\frac{2}{1000}=2(10)^{-3} \end{gathered}[/tex]The next number will have index of 10 as -4,-5 and so on.
Ashley took 3 minutes to run a distance of 540 meters from point X to point YGrace took 2 minutes to run a distance of 480 meters from point Z to point YA)Find the speed of each girl.B)Which of the two girls ran faster?
First, lets determine the speed of Ashley
d/ t = speed
540meters / 3 minutes
180 meters per minute
Now determine the speed of Grace
d/t = speed
480 meters / 2 minutes
240 meters per minute
Since Grace has the larger number, Grace ran faster
i need help please, i am desperate. Im fully crying right now so please.
We have a triangular prism.
The volume of a triangular prism is given by,
[tex]V=\frac{1}{2}*b*h*l[/tex]where,
b is the base,
h is the height, and,
l is the length,
for this problem:
b = 3 yd
h = 2 yd
l = 6 yd
Therefore, the volume is,
[tex]V=\frac{1}{2}*3*2*6=18[/tex]Thus, the answer is 18 cubic yards
Solve. Leave a fraction in your in your answer, if necessary. 45 is what percent of 70.
The following can be written as,
[tex]\frac{45\times100}{70}=\frac{4500}{70}=64.29\text{ \%}[/tex]So 45 is 64.29% of 70.
SCS_20-21 Math GR_CFA2 3 Chandler sadelta Naseen an Solana are the theater asks them to the expression shown. Each students answer is shown in 3 Which student answers carece b Doe here anarch
Given:
The expression is,
[tex]\frac{1}{3}(12+3\times6)-5[/tex]The objective is to find which students answer is correct.
By BODMAS rule, the order of arithmetic expression is Bracket, Order of power, Division, Multiplication, Addition, Subtraction.
So as per the rule of BODMAS, first perform the bracket operation.
Inside the bracket, the first operation to be perfoemed in multiplication.
[tex]\frac{1}{3}(12+18)-5[/tex]Now, perform addition inside bracket.
[tex]\frac{1}{3}(30)-5[/tex]Next operation after bracket is division.
[tex]10-5[/tex]Finally by performing the subtracting operation, the answer will be 5.
Hence, the answer of the student naSahar is correct.
Convert the expression from radical form to exponential expression in rational form, multiply and simplify then divide no need to evaluate just simplify
Solution
Given:
[tex]\sqrt[]{5^7}\text{ }\cdot\sqrt[]{5^6}\div\sqrt[5]{5^3}[/tex]Recall from the law of indices that;
[tex]\begin{gathered} a^{\frac{b}{c}}=\sqrt[c]{a^b}=(\sqrt[c]{a})^b \\ a^{\frac{b}{2}}=\sqrt[]{a^b}^{} \end{gathered}[/tex][tex]undefined[/tex]I need help figuring out the answer to this problem can someone help me please ?
So the average decrease will be 50% for the season of 5 weeks as the definition of percent decrease will be "The difference between starting and ending values is the percentage decrease. It displays a percentage loss of value compared to the original regardless of the units. The difference between the initial and final amounts is the amount of decrease".
What is percent decrease?The difference between starting and ending values is the percentage decrease. It displays a percentage loss of value compared to the original regardless of the units. The difference between the initial and final amounts is the amount of decrease. The letter "%" stands for it.
Here,
The percent decrease will be,
48000-24000=24000
24000/48000*100=50%
24000-12000=12000
12000/24000*100=50%
12000-6000=6000
6000/12000*100=50%
6000-3000=3000
3000/6000*100=50%
3000-1500=1500
1500/3000*100=50%
Due to the definition of percent decrease being a season of five weeks, the average decrease will be 50% "The percentage decrease is the difference between the starting and ending values. Regardless of the units, it shows a percentage decline in value relative to the starting point. The amount of decrease is the difference between the initial and final amounts ".
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oq voce precisa esta na foto se for possivel explique em portugues faça passo a passo
This is a riddle where the left-hand side represents the amount spent and the right-hand side represents the balance.
We have that:
[tex]\text{Total Spent+Current Balance=50}[/tex]Adding the values in the balance column is not really necessary; in fact, it is coincidental in this case that the balances add up to 51.
Identify the slope and y-intercept of the line y = -3(x - 1) + 5. Also, graph this line.
The slope is -3, and y-intercept is 8
The graph is shown below:
Explanation:Given the line:
y= -3(x - 1) + 5
Let us write this in the form:
y = mx + b
Where m is the slope and b is the y-intercept
Removing the parentheses, we have:
y = -3x + 3 + 5
= -3x + 8
Therefore,
The slope is -3, and y-intercept is 8
C. Two angles are supplementary. One angle measures 2° less than 3 times the other. What are the measures of the two angles?
C.
if x one of the angles, then, the other angle is 3x - 2. Due to these angles are supplementary, you can write:
x + 3x - 2 = 180
by solving for x you obtain:
x + 3x - 2 = 180 simplify like terms left side
4x - 2 = 180 add 2 both sides and divide by 4 both sides
4x = 180 - 2
4x = 178
x = 178/4
x = 44.5
the other angle is then:
3x - 2 = 3(44.5) - 2 = 131.5
Hence, the two angles are 44.5° and 131.5°
The perimeter of ΔPQR below is 55 units. What is the length of side QR?P to Q 2x+4 P to R x+3 Q to R has an x there.
Given:
In ΔPQR, Perimeter is 55 units.
The length of PQ = 2x+4
The length of PR = x+3
The length of Q+R = x
To find the length of QR, that is x:
Perimeter of the triangle formula is,
[tex]P=\text{ Sum of the length of thre}e\text{ sides}[/tex]So, we have
[tex]\begin{gathered} 2x+4+x+3+x=55 \\ 4x+7=55_{} \\ 4x=48 \\ x=12 \end{gathered}[/tex]Then, the length of QR is, 12 units.
Hello! Would you please explain if Questions 7 and 8 are the same? I'm confused if I need to sub x for 23 for number 8
In question 7, the exercise only wants an explanation, in text form, of the meaning of the substitutions. That is, that the value of x=5 indicates the time that has passed, 5 hours, and that f(5)=32 indicates the number of riders.
In question 8, you need to pick some values for x, make a table with those values and the respective values of the function when you substitute those values of x, and put the points on the graph.
if Samantha has 37 green apples and give 4 to her sister and 3 to her bestfriend. How many apples does Samantha have left?
The number of apples that has been left with Samantha is 30 apples which is calculated using subtraction.
Total number of apples that Samantha has = 37 apples
Apples that she gave to her sister = 4 apples
Apples that she gave to her bestfriend = 3 apples
Total apples that she gave will be calculated by using addition.
Total apples that she gave = 4 + 3 = 7 apples
Now, the apples left with her will be calculated using subtraction.
Apples left with her = 37 - 7 = 30 apples.
Therefore, we get that, the number of apples that has been left with Samantha is 30 apples which is calculated using subtraction.
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The elevation of a city is positive if the city is above sea level and negative if below sea level.The elevation of New Orleans is -0.3 m.What does an elevation of -0.3 m represent in this situation?
If the elevation of New Orleans is -0.3m, then it is below sea level.
This is because it is a negative number and any
A group of workers. an plant 2/3 acres in 7/8 days. Write the unit in acres per day?
To write the unit in acres per day. We have 2/3 acres and 7/8 days:
[tex]\frac{\frac{2}{3}}{\frac{7}{8}}\frac{\text{ acres}}{\text{ days}}=\frac{2\times8}{3\times7}\frac{\text{ acres}}{\text{ days}}=\frac{16}{21}\frac{\text{ acres}}{\text{days}}[/tex]Answer: 16/21 acres per day
This graph shows the distance that a robot walks. What is the rate of change of the robot's location?
Solution:
The rate of change, m, is;
[tex]\begin{gathered} m=\frac{d_2-d_1}{t_2-t_1} \\ \\ \text{ Where }d=distance,t=time \end{gathered}[/tex]Thus;
[tex]\begin{gathered} (1,10),(3,30) \\ \\ m=\frac{30-10}{3-1} \\ \\ m=\frac{20}{2} \\ \\ m=10 \end{gathered}[/tex]ANSWER: (D) 10 feet per minute
What is the radius for a circle whose equation is x2 + y2 = 36?A. 18B. 36C. 1296D. 6
Answer:
D. 6
Explanation:
The general equation for a circle centered at the origin (0,0) is:
[tex]x^2+y^2=r^2[/tex]Given the equation of the circle:
[tex]\begin{gathered} x^2+y^2=36 \\ \implies r^2=36 \\ r^2=6^2 \\ r=6 \end{gathered}[/tex]Thus, the radius of the given circle is 6.
Find the midpoint of the segment with the given endpoints.(-10,9) and (-3,4)
Let's apply the midpoint formula
((x1+x2)/2, (y1+y2)/2)
[tex](\frac{-3-10}{2},\frac{4+9}{2})[/tex][tex](\frac{-13}{2},\frac{13}{2})[/tex]hello I've been stuck on this question and it is a plane trigonometry question hopefully you can help me answer it and thank you for your time
let us start by writing out our parameters
linear velocity v = 50mi/hr
diameter d = 44 in
[tex]\text{Angular Velocity = }\frac{Angle\text{ turned through}}{\text{time}}[/tex]from the diagram above, let the angle turned through be
need help find the crimcumference of each circles round your answer to the nearest tenth.
The formula in getting the circumference of a circle is:
[tex]C=2\pi r[/tex]where r = length of the radius and π = 3.14159.
Since the radius is already given in the circle which is 9.9 km, let's use this value to replace "r" in the formula. Use 3.14159 to replace π as well.
[tex]C=2\times3.14159\times9.9km[/tex]Then, multiply.
[tex]C=62.203482km\approx62.2km[/tex]Hence, the circumference of the given circle is approximately 62.2 km.
Evaluating a Function In Exercises 5-12, evaluate the function at the given value(s) of the independent variable. Simplify the results. 5. f(x) = 3x - 2 (a) f(0) (b) f(5) (c) f(b) (d) f(x - 1)
Since the given function is
[tex]f(x)=3x-2[/tex]We want to evaluate it at some values of x
a) To find f(0), substitute x by 0
[tex]\begin{gathered} x=0 \\ f(0)=3(0)-2 \\ f(0)=0-2 \\ f(0)=-2 \end{gathered}[/tex]b) To find f(5), substitute x by 5
[tex]\begin{gathered} x=5 \\ f(5)=3(5)-2 \\ f(5)=15-2 \\ f(5)=13 \end{gathered}[/tex]c) To find f(b), substitute x by b
[tex]\begin{gathered} x=b \\ f(b)=3(b)-2 \\ f(b)=3b-2 \end{gathered}[/tex]d) To find f(x-1), substitute x by (x - 1)
[tex]\begin{gathered} x=(x-1) \\ f(x-1)=3(x-1)-2 \end{gathered}[/tex]Simplify it by multiply 3 by the bracket
[tex]\begin{gathered} f(x-1)=3(x)-3(1)-2 \\ f(x-1)=3x-3-2 \end{gathered}[/tex]Add the like term
[tex]\begin{gathered} f(x-1)=3x+(-3-2) \\ f(x-1)=3x+(-5) \\ f(x-1)=3x-5 \end{gathered}[/tex]