Answer:
slope= -4/5
y intercept= - 9/5
Step-by-step explanation:
Emma usually has about $1000 in her account at any given time during the month. She usually visits the ATM twice a week and is interested in banking online options. Bank R has 10 ATMs within a 5 mile radius of Emma’s home. Bank S has 1 ATM 10 miles from Emma’s work. Which bank should she choose? a. Bank R b. Bank S c. Bank T d. Bank R and S
Answer:
Bank R
Step-by-step explanation:
Answer:
Bank R is the answer.
Step-by-step explanation:
Emma usually has about $1000 in her account at any given time during the month.
She usually visits the ATM twice a week and is interested in banking online options.
Bank R has 10 ATMs within a 5 mile radius of Emma’s home.
Bank S has 1 ATM 10 miles from Emma’s work.
Based on the availability of ATMs nearby, Emma should choose Bank R.
A and B are independent events if...
Answer:
(C) The probability of buying bread and cheese is 0.12
Step-by-step explanation:
P(Event A) = 0.6
P(Event B) = 0.2
If Event A and Event B are independent,
Then P(Event A and Event B) = 0.6 x 0.2 = 0.12
A and B are independent events if:
C. The probability of buying bread and cheese is : 0.12
Step-by-step explanation:Two events A and B are said to be independent.
if P(A∩B)=P(A)×P(B)
where P denote the probability of an event.
Here,
Event A= A shopper buys bread
and Event B=A shopper buys cheese
Also we have:
P(A)= 0.60 and P(B)= 0.20
If A and B are independent events then,
P(A∩B)=0.60×0.20
i.e.
P(A∩B)=0.12
i.e.If A and B are independent then the probability of buying bread and cheese is: 0.12
Also we know that:
P(A∪B)=P(A)+P(B)-P(A∩B)
If A and B are independent then,
P(A∪B)=0.60+0.20-0.12
i.e.
P(A∪B)=0.68
If A and B are independent then the probability of buying bread or cheese is: 0.68
Sixty percent of the flowers in Karen’s garden are roses. Which of the following shows 60% roses?
Answer:
A
Step-by-step explanation:
3/5 of the letters are roses and 3/5 = 6/10 = 60%
Final answer:
The correct option that shows 60% roses is b. 50% of the flowers are blue and 50% of the flowers are red.
Explanation:
The question asks which option shows 60% roses. The correct option would be b. 50% of the flowers are blue and 50% of the flowers are red. This is because 60% of the flowers in Karen's garden are roses, and the remaining 40% would consist of other flowers, such as blue and red flowers.
Juice boxes are sold in a local store for 65 cents each. The factory has $1400 in fixed costs plus 15 cents of additional expense for each juice box made. Assuming all juice boxes manufactured can be sold, find the break-even point.
Answer:
Break even occurs at 2800 juice boxes.
Step-by-step explanation:
Fixed cost form the factor = $1400
Variable cost per unit juice box = 15 cents = $0.15
Let number of juice boxed produced to get brek even point = x
Then total cost = c(x)= 1400+0.15x
Selling price per unit juice box = 65 cents = $0.65
Then total sales = R(x)= 0.65x
At break even both sales and cost will be equal so we get:
[tex]0.65x=1400+0.15x[/tex]
[tex]0.65x-0.15x=1400[/tex]
[tex]0.50x=1400[/tex]
[tex]x=\frac{1400}{0.50}[/tex]
[tex]x=2800[/tex]
Hence break even occurs at 2800 juice boxes.
Susan owns a small business there was a loss of $11 on Monday and a profit of $18 on Tuesday on Wednesday there was a loss of $7 and on Thursday there was a profit of $8 find the total of profit or loss
A. $13 loss
B. $8 profit
C. $44 profit
D. $18 profit
Answer:
B. $8 profit
Step-by-step explanation:
Loss is negative and profit is positive
Monday : -11
Tuesday: +18
Wednesday: -7
Thursday: +8
------------
+8
We have a profit of 8
Answer:
8
Step-by-step explanation:
What is the range of the function f(x) = 3x2 + 6x – 8?
Answer: C... {y|y ≥ -1}
Step-by-step explanation:
f(x) is a quadratic equation with the x-side squared and a is positive which means that the graph of the function is a parabola facing up. The range of f(x) is given by {y|y ≥ k}, where k is the y-coordinate of the vertex.
in vertex form (h, k) = (-1, -11)
This meaning the range ={y|y ≥ -11}
Answer:
the answer is C
Step-by-step explanation:
a 96 foot transmission tower casts a 72 foot long shadow. an anchor wire runs from the top of the tower to the tip of the shadow. a ladder is set up vertically 66 feet from the base of the tower so the top of the ladder touches the wire. what is the height of the ladder
Answer:
63.5
Step-by-step explanation:
they all form a triangle, and the formula for that is a²+b²=c²
a=96 b=wire c=72
96²+b²=72²
9216+b²=5184
-9216 -9216
b²= -4032
square root of -4032 = 63.5
what is the value of s in the equation 4s x 4 = 64
Answer:
s = 4
Step-by-step explanation:
4s * 4 = 64
Simplify: 16s = 64
Divide: s = 64/16
Simplify: s = 4
“ s “ equals 4 therefore 4 is the answer
convert 2.47x10^-3 to regular notation
Answer:
0.00247
Step-by-step explanation:
Answer:
[tex]\large\boxed{2.47\times10^{-3}=0.00247}[/tex]
Step-by-step explanation:
METHOD 1:
[tex]\text{Use:}\ 10^{-n}=\dfrac{1}{10^n}\\\\2.47\times10^{-3}=2.47\times\dfrac{1}{10^3}=2.47\times\dfrac{1}{1000}=\dfrac{2.47}{1000}\\\\=\dfrac{2.47\times100}{1000\times100}=\dfrac{247}{100000}=0.00247[/tex]
METHOD 2:
[tex]a\times10^n\\\\\text{If}\ n<0\ \text{then move the comma n places to the left.}\\\text{If}\ n>0\ \text{then move the comma n places to the right.}[/tex]
[tex]\text{Therefore}\ 2.47\times10^{-3}=0\underbrace{.002}_{\leftarrow3}47[/tex]
which expression has a value greater than 4 raise to 3?
there are :
-2 raise to 5
-7 raise to 2
-3 raise to 4
and
-5 raise to 2
We just have to evaluate and compare the numbers:
[tex]4^3 = 64\\(-2)^5 = 32\\(-7)^2=49\\(-3)^4 = 81\\(-5)^2=25[/tex]
So, the only expression that exceeds 4^3 is (-3)^4
(-3)^4
Step-by-step explanation:
11). Liam, Lidea, Lisa and Larry bought a
gift for their soccer coach. The total
cost of the gift, including tax, was
$55.80. Liam paid $14, Lidea paid
of the cost, Lisa paid 25% of the
cost, and Larry paid the remaining cost.
Who paid the greatest part of the cost? i hope someone helps me asap this is due tomorrow i was gone for 2 days bcs i was sick
Answer:Sorry about the sick day.The answer is simply Larry did the greatest.
Step-by-step explanation:First, subtract 54-14=41. Then, you multiply 41 times .25 since 25%=.25.This will give you 10.25.Finally, you subtract 41.00-10.25 to find out the remaining payment from Larry which is 37.50 dollars.Therefore, Larry paid the most.
Answer:
Lidea paid the most.
Change 50% to a decimal, then a fraction.
Answer:
0.5 and 1/2
Step-by-step explanation:
half of 100 is 50 so thats the 1/2 put 1/2 into decimal form and its 0.5
Select the best answer for the question. 6. Which linear inequality is graphed in the figure? A. y ≥ 1⁄3x – 2 B. y < 1⁄3x – 2 C. y ≤ –1⁄3x + 2 D. y ≤ 1⁄3x – 2
I think that it might be C.
Answer:
The answer is D.
Step-by-step explanation:
I got it right on the test
3(17x – 6.5) = 108. What does x equal in this equation
Answer:
x=2.5
Step-by-step explanation:
First, you need to expand the brackets.
51x-19.5=108
Next, you need to add 19.5 to both sides giving:
51x=127.5
Then finally, you need to divide both sides by 51.
x =2.5
x equal to 2.5 in this equation
What does x equal in this equation?An algebraic equation is a mathematical statement that contains two or more algebraic expressions that are set equal to each other. The algebraic expressions can contain variables, constants, and operators.
We have:
3(17x – 6.5) = 108
We can solve for the value of x as follow:
3(17x – 6.5) = 108
17x(3) - 6.5(3) = 108
51x - 19.5 = 108
51x = 108 + 19.5
51x = 127.5
x = 127.5/51
x = 2.5
Therefore, x equal to 2.5 in this equation
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Can someone please explain how to get the answer plzzzzz
Multiply the two numbers first
6*3= 18
Divide the total volume by 18
144/18=6
Answer: Missing length is 6 ft .
Solve for g. -7g − 8 = -6g
Answer:
G=-8
Step-by-step explanation:
Answer:
G=-8
Step-by-step explanation:
Which side lengths form a right triangle 30 POINTS!! I DONT HAVE MUCH TIME
Answer:
To solve this problem, we can use Pythagorean theorem, it tells us that the square of the hypotenuse is equal to the sum of the square of the other two sides.
When we look at these side lengths, we can see that only the second answer is suitable because from the lengths, we can predict that 13 is the length of the hypotenuse, 5 is the length of the shorter leg and 12 is the length of the other leg, and when you actually calculate it, the result is correct as well:
5² + 12² = 25 + 144 = 169
13² = 169
So the answer is B
I’m thinking that the answer is B! Sorry if I’m wrong!:)
The histogram represents the number of gallons of gasoline that drivers purchase weekly. Which bar represents the number of gallons most drivers purchase during the week?
A) Bar 1
B) Bar 2
C) Bar 3
D) Bar 5
Answer:
option B) Bar 2
Step-by-step explanation:
The histogram represent the number of gallons of gasoline on x axis.
The number of drivers purchase weekly on y axis.
In this histogram 5 Bars are shown.
First bar represents = 5 drivers
Second bar represents = 6 drivers
Third bar represents = 1 driver
Fourth bar represents = 3 drivers
Fifth bar represents = = 4 drivers
So the second bar represents the the number of gallons most drivers purchased during the week.
Therefore, option B) Bar 2 is the correct answer.
Answer:
bar2
Step-by-step explanation:
Find the minimum/maximum of y=2x^2+12x-22
Answer:
The minimum value of this function is -40.
Step-by-step explanation:
Recall that the minimum of a quadratic whose graph is a parabola that opens up, as this one does, is the vertex of the graph. The x-coordinate of the vertex is given by x = -b / (2a), where a is the coefficient of the x^2 term and b is that of the x term.
Here, x = -12 / (2*2), or x = -12/4, or x = -3.
Find the y-value at this x-value: f(-3) = 2(-3)^2 + 12(-3) - 22, or
f(-3) = 2(9) - 36 - 22, or -40.
The vertex is at (-3, -40). The minimum value of this function is -40.
The provided quadratic function y=2x²+12x-22 has no local minimum or maximum, as indicated by the application of the second derivative test, which results in a point of inflection rather than an extrema.
The minimum or maximum of the quadratic function y=2x²+12x-22. To locate the extrema of a quadratic function, we often use the first derivative test. However, the information provided indicates the derivative vanishes at x = 2 (y' = 0), but the second derivative test (y" = 6x - 12) reveals that this point is a point of inflection rather than a minimum or maximum. The second derivative being zero at x = 2 implies that there is no concavity change and hence, no local extrema. Therefore, for this particular quadratic function, there is no local minimum or maximum. The function can be rewritten as y = (x - 2)³ + 8, which shifts the function y = x³ two units to the right and eight units upwards, further emphasizing that it indeed has no local extrema.
please help. thanks
12 • 16 = 192
5 • 3.14 = 15.7 15.7/2= 7.85
192 + 7.85 = 199.85
The area of the objective is 199.85
What is the product of (2x^2+4x-2) and (3x+6)
Answer:
6x³ + 24x² + 18x - 12
Step-by-step explanation:
We require the product
(2x² + 4x - 2)(3x + 6)
Each term in the second factor is multiplied by each term in the first factor, that is
2x²(3x + 6) + 4x(3x + 6) - 2(3x + 6) ← distribute all parenthesis
= 6x³ + 12x² + 12x² + 24x - 6x - 12 ← collect like terms
= 6x³ + 24x² + 18x - 12
The annual rate on a loan is 12% which can be represented using the expression 1.12t write an expression that represents the 6 months interest rate
Answer:
1.06t
Step-by-step explanation:
When the annual rate on a loan is 12% , which was represented using the expression 1.12t. Where t is the time. We are asked to write an expression that represents the 6 months interest rate applied. Assuming the rate of interest for 6 months be 6% half yearly, the expression for the same will be 1.06t
Answer:
1.06t
Step-by-step explanation:
When the annual rate on a loan is 12% , which was represented using the expression 1.12t. Where t is the time. We are asked to write an expression that represents the 6 months interest rate applied. Assuming the rate of interest for 6 months be 6% half yearly, the expression for the same will be 1.06t
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WILL GIVE BRAINEST FOR THE FIRST PERSON TO ANSWER THAT IS CORRECT WITH A FULL EXPLANATION AS TO WHY YOU GOT THAT ANSWER! THANKS
Jamie has a deck of 60 sports cards, of which some are baseball cards and some are football cards. Jamie pulls out a card randomly from the deck, records its type, and replaces it in the deck. Jamie has already recorded nine baseball cards and 11 football cards. Based on these data, what is, most likely, the number of baseball cards in the deck?
20
22
25
27
Answer:
Option D is correct .i.e., Most likely, the number of baseball cards in the deck is 27.Step-by-step explanation:we find probability of getting a Base ball card and compare it with probability of Baseball card from whole data.let,Total No. of Sports Cards in Data 1= 60and No. of Base ball card in Data 1 = xIn Data2,Jamie recorded data for 20 times⇒Total No. of cards in Data 2 = 20In which 9 cards are of Baseball and 11 cards are of Football.⇒ No. of Baseball card in Data 2 = 9Now by comparing,Therefore, Option D is correct .i.e., Most likely, the number of baseball cards in the deck is 27.
Step-by-step explanation:
What is a common mistake when evaluating and documenting skill sets
Answer:
confusing activities with accomplishments
Step-by-step explanation:
Answer:
confusing activities with accomplishments.
Step-by-step explanation:
1.Henry’s age is equals to Felicia’s age cubed . If Henry is 64 years old, how old is Felicia?
2. Which function is nonlinear?
a) y=3x(x+5)+4
b) y=-5x-2/3
c) y=2(6x-2)-5x
d) y=5x-2/4
Please help.
1. 4 cubed is 64 (4 x 4 = 16 x 4 = 64
2. Choice A. y=3x(x+5)+4 is a parabola
What happens to the value of the expression 5/x +5 as x decreases from a large positive number to a small positive number
Answer:
The value increases
Step-by-step explanation:
the smaller the divisor, the larger the quotient.
It increases I am taking the quiz right now and I checked.
Given the points A(-3,-4) and B(2,0), point P(-1,-12/5) partitions AB in the ratio ...
A. 1:3
B. 2:1
C. 2:3
D. 3:2
Answer:
A 1:3
Step-by-step explanation:
Point P(-1, -12/5) partitions the line segment AB in the ratio of 2:1, which is calculated using the section formula in coordinate geometry.
To determine the ratio at which point P partitions AB, we can use the concept of section formula in coordinate geometry. The section formula states that if a point P(x, y) divides the line segment AB in the ratio m:n, then its coordinates are given by:
[tex]\[ x = \frac{mx_2 + nx_1}{m + n} \quad \text{and} \quad y = \frac{my_2 + ny_1}{m + n} \][/tex]
Substituting the given coordinates of A(-3, -4), B(2, 0), and P(-1, -12/5), we can form two equations with the unknowns m and n. Solving for m and n will give us the required ratio.
[tex]\[ -1 = \frac{m \cdot 2 + n \cdot (-3)}{m + n} \text{ and } (-\frac{12}{5}) = \frac{m \cdot 0 + n \cdot (-4)}{m + n} \][/tex]
Solving the equations, we find m = 2 and n = 1, meaning P divides AB in the ratio of 2:1, which is option B.
Which line is the best model for the data in the scatter plot?
Answer:
A.) is the best option
Step-by-step explanation:
110 is 21.1% of what number?
Answer: 23.21
Explanation: I did 110x21.21 divided by 100
The number 110 is 21.1% of the number 521.33, as of the given percentage.
Given that,
To determine the number whose 21.1% is 110.
The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
What is the percentage?The percentage is the ratio of the composition of matter to the overall composition of matter multiplied by 100.
here,
let the number be x,
110 = 21.1% of x,
x = 110 / 0.211
x = 521.33
Thus, the number 110 is 21.1% of the number 521.33.
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HELPPPPPPPPPP Add & subtract matrices .....
PLZ GIVE THE ANSWER .. THANKSSSSS .
Answer:
[tex]\left[\begin{array}{ccc}-2&-1&1\\6&0&3\end{array}\right][/tex]
Explanation
Given in the question two matrix, a matrix can only be added to (or subtracted from) another matrix if the two matrices have the same dimensions.
Here the dimensions are 2x3 and 2x3.
[tex]\left[\begin{array}{ccc}0&2&4\\4&4&1\end{array}\right][/tex][tex]-\left[\begin{array}{ccc}2&3&3\\-2&4&-2\end{array}\right][/tex]
To subtract two matrices, just subtract the corresponding entries
[tex]\left[\begin{array}{ccc}0-2&2-3&4-3\\4+2&4-4&1+2\end{array}\right][/tex]
[tex]\left[\begin{array}{ccc}-2&-1&1\\6&0&3\end{array}\right][/tex]