Answer:
The largest advertisement she can afford has dimensions of 5 in x 10/3 in
Step-by-step explanation:
Assume the dimensions of the advertisement are L and W.
The area of the advertisement is:
A = L.W
The ratio length/width is 3:2, thus the proportion is:
[tex]\displaystyle \frac{L}{W}=\frac{3}{2}[/tex]
Thus:
[tex]\displaystyle L=\frac{3}{2}W[/tex]
The area is:
[tex]\displaystyle A=\frac{3}{2}W^2[/tex]
Since the square inch of advertisement space sells for $3, the cost for Anna to purchase it is:
[tex]\displaystyle C=3\cdot\frac{3}{2}W^2[/tex]
Simplifying:
[tex]\displaystyle C=\frac{9}{2}W^2[/tex]
This cost can be a maximum of $50, thus:
[tex]\displaystyle \frac{9}{2}W^2=50[/tex]
Multiplying by 2:
[tex]9W^2=100[/tex]
Solving for W:
[tex]\displaystyle W=\sqrt{\frac{100}{9}}=\frac{10}{3}[/tex]
[tex]\displaystyle W=\frac{10}{3}[/tex]
And
[tex]\displaystyle L=\frac{3}{2}\cdot \frac{10}{3}[/tex]
L = 5
Thus the largest advertisement she can afford has dimensions of 5 in x 10/3 in
how many solutions does this problem have: 2(75 + 8) = 5(85 + 9)
0 solutions.
2(75+8) =5(85+9)
166≠470
Sending Paypal to whoever gets this right ( i made this question)
BE? I don't really know lol
A student put $1,200 in a savings account paying simple interest of 4.5% per year. Find the total amount of the student's savings after 5 years. A: $700. B: $1470. C: $1000. D: $400
Answer:
(B) $1470
Step-by-step explanation:
Given that the principal initial amount, p=$1200
Rate of simple interest per year, r=4.5% = 0.045
Time, t=5 years
Interest after 5 years,
I=prt= 1200 x 0.045 x 5 = 270
Total amount = Principal initial amount + Interest
=1200+270=1470
So, the total amount of the student's savings after 5 years is $1470.
Hence, option (B) is correct.
someone help me on this question
it's two step inequalities
i forgot how to do this
Answer:
if I'm not wrong, its x>34
Step-by-step explanation:
multiply both sides by 3
3(x - 4)/3 > 10 x 3
x - 4 > 30 (simplify)
add 4 to both sides and x > 34
pls help I will fail 10th grade
Answer:
b
Step-by-step explanation:
Please mark brainiest
This is for Geometry.
If it is blurry Zoom in.
Please helps me, Thx!
Answer:
Altitude - a segment drawn from the vertex perpendicular to the other side (also called the height).
HELPPP ASAP!!!!!!! PLZZZ
Answer:
8/12
Step-by-step explanation:
WILL MARK BRAINLYEST
What is the equation in point-slope form of the line that passes through the points (7, 5) and (-4, – 1)?
Answer:
y - 5 = 6(x - 7)
Step-by-step explanation:
yes
Answer:
[tex]y+1=\frac{6}{11}(x+4)[/tex]
The image below shows proof that the point-slope equation [tex]y+1=\frac{6}{11}(x+4)[/tex] is the correct equation in point-slope form that the line passes through the points (7, 5) and (-4, -1)
Hope this helps! :)
7) What is the equation of a circle with the center (-8, 9) and the radius of 10?
Answer:
(x+8)² + (y - 9)² = 100Step-by-step explanation:
The general equation of a circle is expressed as;
(x-a)² + (y - b)² = r² where;
(a, b) is the centre of the circle
r is the radius
Given
Centre (-8, 9) where a = -8, b = 9
radius r = 10
Substitute into the formula to get the required equation;
(x-(-8))² + (y - 9)² = 10²
(x+8))² + (y - 9)² = 10²
(x+8)² + (y - 9)² = 100
Hence the required equation is (x+8)² + (y - 9)² = 100
please answer correctly!!
Answer:
Undefined
Step-by-step explanation:
A music club has 35 drum players. If 25% of the total number of members in the club are drum players, what is the total number of member in the club?
Answer:
140
Step-by-step explanation:
Since 25% is 1/4 of 100, that means that 35 is 1/4 of the total amount of members in the club. So, 35 times 4 is 140.
Answer:
140
Step-by-step explanation:
hope this helps get a 100%
just read the picture and thats the question
Answer:
a) The negative sign indicates that progression is decreasing in time and decreases by 18 percent each month.
b) Antonio is expected to make a profit of 37445.17 in 7 months from now.
Step-by-step explanation:
a) The equation described on statement represents a geometrical progression, which is defined as:
[tex]y = C_{o}\cdot (1+ r)^{x}[/tex] (1)
Where:
[tex]C_{o}[/tex] - Initial amount, measured in monetary units.
[tex]r[/tex] - Rate, dimensionless. (The progression is increasing when [tex]r > 0[/tex], and decreasing when [tex]-1 < r < 0[/tex])
[tex]x[/tex] - Time, measured in months.
[tex]y[/tex] - Profit, measured in monetary units.
Given that [tex]y = 150,210\cdot (0.82)^{x}[/tex], we calculated the rate below:
[tex]1+r = 0.82[/tex]
[tex]r = 0.82-1[/tex]
[tex]r = -0.18[/tex]
The negative sign indicates that progression is decreasing in time and decreases by 18 percent each month.
b) If we know that [tex]x = 7[/tex], then the expected amount for Antonio in 7 months from now is:
[tex]y = 150,210\cdot (0.82)^{7}[/tex]
[tex]y = 37445.17[/tex]
Antonio is expected to make a profit of 37445.17 in 7 months from now.
7 plus twice a number.
Answer:
7+4
Step-by-step explanation:
Answer:
7 + 2x
Step-by-step explanation:
Hiking
(15,18
(10, 12)
Distance (miles)
15,6
10
15
Time
Using the data shown on the graph, which sztements are correct?
The
3
The ratio of L is consistent
The graph represents a proportional relationship
D
The grach does not represent a proportional relationship
The graph of a proportional relationship must past through. (0,0)
Answer:
I’m sorry but I don’t understand the question
Step-by-step explanation:
Use vector operations to draw the resultant vector
Answer:
Draw an arrow from the origin to (4, 0)
Step-by-step explanation:
u-v+w
= <-3, -4> - <-4, -1> + <3, 3>
= <4, 0>
We want to perform a sum of vectors and draw the resultant vector. The resultant vector will be <4, 0> and its graph can be seen at the end.
If we see the image, we can write the vectors as:
w = <3, 3>u = <-3, -4>v = <-4, -1>Now we want to sum:
u - v + w
Remember that in the sum of the vectors we just add (subtract) the correspondent components, then we will have:
u - v + w = <-3, -4> - <-4, -1> + <3, 3> = <-3 + 4 + 3, -4 + 1 + 3> = <4, 0>
The graph of the resultant vector can be seen below.
If you want to learn more, you can read:
https://brainly.com/question/13291928
the unit rate of 2/1 equivalent to the ratio 4/6: 9/12. True or false?
Answer:
I think true.
Step-by-step explanation:
which one is the missing proof?
Answer:
By ASA congruence theorem
Step-by-step explanation:
Given:
In ΔFEG AND ΔKHG
FG = KG (Mid points)
∠EGF = ∠HGK (vertical opposite angle)
∠F = ∠K (Interior alternate angle)
So,
ΔFEG ≅ ΔKHG
By ASA congruence theorem
What is 77/20 simplified
Thomas has graphed the function y = 7x – 10 on a coordinate plane.
Which of the following statements is true for the function Thomas graphed?
A.It has a slope of 10
B.it has a y-intercept of 7
C.It has a negative association
D.It assigns exactly one output to each input
Answer:
D
Step-by-step explanation:
A linear function has exactly one output to each input.
The given function has both negative associations and assigns exactly one output to each input. Options C and D both are correct.
Given that,
Thomas has graphed the function y = 7x – 10 on a coordinate plane.
Functions is the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.
Here,
As the function is the equation of the straight line that implies it gives exactly one output to each input and has negative input or negative association to sub-function 7x.
Thus, the given function has both negative associations and assigns exactly one output to each input. Options C and D both are correct.
learn more about function here:
brainly.com/question/21145944
#SPJ6
What is the slope of the line that passes through the points (-9,5) and (-17,5)? Write your answer in simplest form.
Answer:
0
Step-by-step explanation:
Without solving anything, we can tell that the line that crosses these points is a horizontal line because both of the y-coordinates are the same. This tells us that the slope of the line is 0.
To prove this, we can find the slope of the line by plugging the two points,[tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex], into the equation [tex]\frac{y_2-y_1}{x_2-x_1}[/tex].
[tex]\frac{y_2-y_1}{x_2-x_1}\\\frac{5-5}{-17-(-9)}\\= \frac{0}{-17+9)}\\= \frac{0}{-8}\\= 0[/tex]
Therefore, the slope of the line that passes through the points (-9,5) and (-17,5) is 0.
I hope this helps!
a) Let X be a random variable that can assume only positive integer values, and assume its probability function is P(X -n) A/3^n for some constant A (n> 1). Find A.
b) Let X be a continuous random variable that can assume values between 0 and 3, and assume its density function is fx(x)- B(x2 +1) with some constant B (0< x ,3). Find B.
Answer:
a) The value of A = 2
b) The value of [tex]B = \dfrac{1}{12}[/tex]
Step-by-step explanation:
a)
Given that:
X should be the random variable that assumes only positive integer values.
The probability function; [tex]P[X = n] = \dfrac{A}{3^n}[/tex] for some constant A and n ≥ 1.
Then, let [tex]\sum \limits ^{\infty}_{n =1} P[X =n] = 1[/tex]
This implies that:
[tex]A \sum \limits ^{\infty}_{n =1} \dfrac{1}{3^n}= 1[/tex]
[tex]A \times \dfrac{\dfrac{1}{3}}{1 - \dfrac{1}{3}} = 1[/tex]
[tex]A \times \dfrac{\dfrac{1}{3}}{\dfrac{2}{3}} = 1[/tex]
[tex]A \times \dfrac{1}{2}=1[/tex]
A = 2
Thus, the value of A = 2
b)
Suppose X represents a e constant A (n> 1). Find A.
b) Let X be a continuous random variable that can assume values between 0 and 3
Then, the density function of x is:
[tex]f_x(x) = \left \{ {{B(x^2+1)} \ \ \ 0 \le x \le 3 \ \ \ \atop {0} \ \ \ otherwise} \right.[/tex]
where; B is constant.
Then, using the property of the probability density function:
[tex]\int ^3_0 \ B (x^2+1 ) \ dx = 1\\[/tex]
Taking the integral, we have:
[tex]B \Big [\dfrac{x^3}{3} +x \Big ]^3_0 = 1[/tex]
[tex]B \Big [\dfrac{3^3}{3} +3 \Big ]= 1[/tex]
[tex]B \Big [\dfrac{27}{3} +3 \Big ] = 1[/tex]
B [ 9 +3 ] = 1
B [ 12 ] = 1
Divide both sides by 12
[tex]B = \dfrac{1}{12}[/tex]
Answer Please : )
Why negative ( - ) sign is cannot be pulled out of square root.???
To show the negative of a square root, a negative sign would have to be placed outside the radical.
Answer:
Step-by-step explanation:
Because √-1 is an imaginary number √-1=i
They are imaginary because there are no same real numbers multiplyed that gives you a negative number
√4 = √2*2 ( +2*+2 =+4)
√4 = √-2*-2 (-2*-2 =+4)
√-1 = √? *? ( what same numbers multiplied gives you negative?...an imaginary one)
Pllzzzzzzz help now it’s due today
Answer:
Step-by-step explanation:
The answer to the inequality, |3x| < -6, is no solution.
Why isn't there a solution to this inequality? Please explain your thinking.
Answer:
x < -2 and x > 2
Step-by-step explanation:
Given the inequality |3x| < -6
The function inside modulus can take both positive and negative value.
For the positive value;
3x < -6
x < -6/3
x < -2
For the negative value;
-3x < -6
-3x/-3 > -6/-3
x > 2
Hence the solution to the inequality is x < -2 and x > 2
Bob's average golf score at his local course is 93.6 from a random sample of 34 rounds of golf. Assume that the population standard deviation for his golf score is 4.2. The 90% confidence interval around this sample mean is:_______.
a. (92.4, 94.8).
b. (89.0, 98.3).
c. (90.5, 96.7).
d. (93.2, 94.0).
Answer:
a. (92.4, 94.8)
Step-by-step explanation:
Given that:
Mean (m) = 93.6
Standard deviation (σ) = 4.2
Sample size (n) = 34
α = 90%
Confidence interval around sample mean :
Mean ± Zstatistic * s/√n
Z0.90 = 1.645 (Z probability calculator)
s / √n = 4.2 / √34 = 0.7202940
Lower limit = 93.6 - (1.645 * 0.7202940) = 92.41511637 = 92.4
Upper limit = 93.6 + (1.645 * 0.7202940) = 94.78488363 = 94.8
What are fractions? Plz help
Is × = 12 a solution to the equation 6 + × 19?
A. no, because 6 + 12 = 19 is not true
B. yes, because 6 + 12 = 19 is true
C. no, because 6 + 12 = 19 is true
D. yes, because 6 + 12 = 19 is not true
In the graph, the area below f(x) is shaded and labeled A, the area below g(x) is shaded and labeled B, and the area where f(x) and g(x) have shading in common is labeled AB.
Graph of two intersecting lines. The line f of x is solid and goes through the points 0, 4, and 4, 0 and is shaded below the line. The other line g of x is solid, and goes through the points 0, negative 1 and 2, 5 and is shaded below the line.
The graph represents which system of inequalities?
y ≤ −3x − 1
y ≤ −x − 4
y > −3x + 1
y ≤ −x − 4
y < 3x − 1
y ≤ −x + 4
y ≤ 3x − 1
y ≥ −x + 4
Answer:
y ≤ 3x − 1
y ≤ −x + 4
Step-by-step explanation:
Someone please help me
Is AB congruent to CB?
Answer:
yes
Step-by-step explanation:
they are congruent