Answer:
Construct
Step-by-step explanation:
"Construction" in Geometry means to draw shapes, angles or lines accurately. These constructions use only compass, straightedge (i.e. ruler) and a pencil.
1Kg of grapes cost 5.80 Meagan buys 700 grames of grapes how much does she pay
Meagan pay 4.60
Step-by-step explanation:
1kg------5.80
700g----X
700x5.80=4.60/1=4.60
Final answer:
To find the cost of 700 grams of grapes, divide the cost of 1 kilogram by 1000 to get the price per gram, then multiply by 700. Meagan pays $4.06 for 700 grams of grapes.
Explanation:
To calculate how much Meagan pays for 700 grams of grapes when 1 kilogram (1000 grams) of grapes costs $5.80, we first find out the cost per gram. Then we multiply the cost per gram by the amount of grams Meagan is buying.
The cost per gram is: $5.80 / 1000 grams = $0.0058 per gram.
So for 700 grams, Meagan pays: $0.0058 per gram × 700 grams = $4.06.
Therefore, the cost of 700 grams of grapes is $4.06.
Determine which of the following expressions can be factored to (x+ 2)(x +2)
(x+2)(x+2)
x^2+2x+2x+4
x^2+4x+4
Answer : C ( x^2+4x+4)
Answer:
C. x2+4x+4
Step-by-step explanation:
If you multiply it out:
(x)(x) + 2x + 2x + 2(2)
x2 + 4x + 4
What is the rate of increase for the function f(x)= 1/3 (^3 √24)^2x
Answer
You need to simplify the function first until the exponent turns into a plain x. Step 1 Leave 1/3 alone that is the a value, initial value. You are looking for the base
Step 2 Deal with the parenthesis. Factor 24 and you will get 2 and the cube of 3.
Step 3 Separate the exponent (2) (x)
Step 4 Now square each term inside the parenthesis
2 squared and cube of 3 square the 2^2 will be 4, the other expression means cube of 3 times cube of 3 and that's cube of 9
Step 5 Your base should be (4 cube of 9)
f'(x) = C, indicating a constant rate of increase.
The function given is f(x) = (1/3) * ((³√24)²) * x.
To find the rate of increase (or the derivative of this function), we need to rewrite the function in a simpler form. Firstly, simplify the constant:
(1/3) * ((³√24)²) * x can be simplified as a single constant C.Let's break it down:
³√24 = 24¹/³, so (³√24)² = (24¹/³)² = 24²/³.Next, we multiply this by 1/3:
C = (1/3) * 24²/³Now the function becomes:
f(x) = C * xThis is a linear function where C is a constant coefficient. Therefore, the rate of increase (or the derivative) of f(x) with respect to x is just the constant C.
We then find the derivative:
f'(x) = CAs there are no x terms left, the rate of increase is constant and equal to C, which is (1/3)*24²/³.
A chef made 30 donuts in 60 minutes. How long would it take him to
make 90 donuts?
[tex]\bf \begin{array}{ccll} donuts&minutes\\ \cline{1-2} 30&60\\ 90&x \end{array}\implies \cfrac{30}{90}=\cfrac{60}{x}\implies \cfrac{1}{3}=\cfrac{60}{x}\implies x=180[/tex]
Answer: 180 minutes
Step-by-step explanation:
Cross multiply
90*60 = 5400
5400/30 = 180
Is the fraction 1/4 equal to 2.5
Answer: No, 1/4 is equal to 0.25
Step-by-step explanation:
1/4
= 0.25
= 25%
* Hopefully this helps:) Mark me the brainliest:)
∞ 234483279c20∞
Answer:
no it is 1/4 is equal to .25 and 2.5 is 5/2
Step-by-step explanation:
Carmen was hired as a salaried computer programmer for $42,000 per year. What is her bi-weekly (26 weeks) salary? Question 1 options: A: $3,500.00 B: $1,000.00 C: $807.69 D: $1,615.38
Answer:
Option D: $1,615.38
Step-by-step explanation:
we know that
1 year=52 weeks
so
Calculate the bi-weekly salary
Divide the total salary by 26 weeks
$42,000/26=$1,615.38
Which measure of central tendency is least appropriate for describing the given data set?
6, 6, 6, 7, 8, 8, 29
mode
median
mean
Answer: Third option is correct.
Step-by-step explanation:
Since we have given that
6, 6, 6, 7, 8, 8, 29
We will calculate the measures of central tendency:
1) Mode - the most occurring element in the data set.
So, Mode = 6
2) Median - the middle value of organised data set
So, Median = 7
3) Mean - the average of all data set
So, Mean = [tex]\dfrac{6+6+6+7+8+8+29}{7}=\dfrac{70}{7}=10[/tex]
So, we can see that Mode and Median are giving the closest value to each other, whereas Mean is giving the farthest value as compared to rest.
Hence, Mean is the least appropriate for describing the given data set.
Thus, Third option is correct.
On a coordinate grid, the coordinates of vertices P and Q for Polygon PQRS are P(1, 2) and Q(−1, 2). What is the length of Side PQ of the polygon?
Answer:
3 units
Step-by-step explanation:
Answer:
I know I am a little late but the answer is 3
Step-by-step explanation:
I took the test part 1
Help!!!!! Not the top one by the way..!
Answer:
[tex]\large\boxed{x=-3\ and\ y=-11\to(-3,\ -11)}[/tex]
Step-by-step explanation:
[tex]\underline{+\left\{\begin{array}{ccc}-6x+y=7\\3x-y=2\end{array}\right}\qquad\text{add both sides of the equations}\\\\.\qquad-3x=9\qquad\text{divide both sides by (-3)}\\.\qquad\boxed{x=-3}\\\\\text{Put the value of x to the first equation:}\\\\-6(-3)+y=7\\18+y=7\qquad\text{subtract 18 from both sides}\\\boxed{y=-11}[/tex]
Annika sells 6 inch pies for $5.00 and 8 inch pies for $9.00 each. Last week she sold twice as many 6 inch pies as she did 8 inch pies. She made $133.00 from her sales. Annika defined x as the number of 6 inch pies she sold and y as the number of 8 inch pies she sold. She wrote the system below.
6x+8y=133
2x=y
Jade can buy a maximum of 6 magazines or 2 pies with her $24 weekly budget. The slope of her budget constraint is -2, representing the trade-off between pies and magazines. The opportunity cost of purchasing a pie is 3 magazines.
Jade has a weekly budget of $24, which she allocates between magazines and pies. Let's address the questions one by one:
Magazines: If the price of a magazine is $4 each, Jade can buy 6 magazines in a week since $24 divided by $4 equals 6.Pies: If the price of a pie is $12, Jade can purchase 2 pies in a week, as $24 divided by $12 equals 2.Budget constraint: On a graph with pies on the horizontal axis and magazines on the vertical axis, Jade's budget constraint would be a straight line starting at 6 magazines (if she buys 0 pies) and ending at 2 pies (if she buys 0 magazines). The slope of this budget constraint is -2 (the price of a pie divided by the price of a magazine).Opportunity cost: The opportunity cost of purchasing one pie is the number of magazines she has to give up, which is 3 magazines ($12/$4).The number of bacteria in a petri dish doubles
each hour. There were initially 300 bacteria in the
dish. When the scientist checked again there were
4,800 bacteria. How much time passed?
Answer:
4 hours
Step-by-step explanation:
The exponential growth equation is given by
y = a (b)^(x)
where a is the initial value, b is the growth rate and x is the time from the initial value
We know the initial value is 300 and the growth rate is 2
y = 300 (2)^(x)
We want to know the time when we have 4800 bacteria
4800=300 *2^(x)
Divide each side by 300
4800/300 = 300/300 * 2^(x)
16 = 2^(x)
Rewrite 16 as a power of 2
2^4 = 2^(x)
x=4
It will take 4 hours
what is the quotient of the synthetic division problem below written in polynomial form?
Answer:
-2x^2 + 21x + 41 with a remainder of 108 (Answer A)
Step-by-step explanation:
Let's perform the indicated synthetic division:
3 ) -2 15 -22 -15
6 63 123
-----------------------------
-2 21 41 108
We take the first three coefficients of these results and use them to write a polynomial which represents the quotient:
-2x^2 + 21x + 41 with a remainder of 108 (Answer A)
ANSWER
D. [tex]q(x) = - 2 {x}^{2} + 9x +5[/tex]
EXPLANATION
We perform the synthetic division to get:
-2 15 -22 -15
3| -6 27 15
-2 9 5 0
From the synthetic division problem;
The coefficient of the quotient are the first three numbers.
-2, 9, 5
The last number 0 is the remainder
Since the coefficient of the quotient are three, it means the polynomial having 2 as the highest degree.
Therefore the quotient is:
[tex]q(x) = - 2 {x}^{2} + 9x +5[/tex]
what is the absolute value of 1.7
Answer:
|1.7| = 1.7Step-by-step explanation:
Definition of absolute value:
|a| = a if a ≥ 0
|a| = -a if a < 0
Examples:
|2| = 2
|-2| = -(-2) = 2
|0.45| = 0.45
|-0.45| = -(-0.45) = 0.45
|1000| = 1000
|-1000| = 1000
Therefore
|1.7| = 1.7
ashley has 1.75 liters of water to use in a science experiment.If she pours equal amount of water in each 5 beaker, how many milliliters of water will be in each beaker?
Simply divide 1.75 by 5 to find that 0.35 mL of water will be in each beaker.
Please help! Select the correct ordered pairs in the table.
Answer:
(-4, -12) (1, -2) (2, -18)
Step-by-step explanation:
We have a grade 3 polymial function.
We know that the function has a minimum at the point
(-3, -18).
If this is the minimum of the function then this means that when [tex]x <-3[/tex] the function is decreasing and when [tex]x> -3[/tex] the function is growing.
Look in the table for ordered pairs with values of x less than -3.
The only point is (-4, -12).
Then the function has a maximum in ([tex]\frac{1}{3}[/tex], [tex]\frac{14}{27}[/tex])
This means that when [tex]x> \frac{1}{3}[/tex] the function is decreasing and when [tex]x< \frac{1}{3}[/tex] the function is growing.
Search the table for ordered pairs with values of x greater than [tex]\frac{1}{3}[/tex]
We have
(1, -2) (2, -18)
Finally the ordered pairs in which the function decreases are:
(-4, -12) (1, -2) (2, -18)
Observe the attached image.
What is a1 for the geometric sequence for which a8= -3584 and a3 = 112 ?
Answer:
The first term is 28.
Step-by-step explanation:
Given: 8th term of Geometric sequence , [tex]a_8=-3584[/tex]
and 3rd term of Geometric Sequence, [tex]a_3=112[/tex]
We have to find First term of given geometric Sequence.
Let a be the first term of geometric sequence.
We know that,
[tex]a_n=ar^{n-1}[/tex]
So,
[tex]\frac{a_8}{a_3}=\frac{ar^{8-1}}{ar^{3-1}}=\frac{-3584}{112}[/tex]
[tex]\frac{r^{7}}{r^{2}}=-32[/tex]
[tex]r^5=-32[/tex]
[tex]r=-2[/tex]
So, [tex]a_3=112[/tex]
[tex]a\times(-2)^{2}=112[/tex]
[tex]a=\frac{112}{4}=28[/tex]
Therefore, The first term is 28.
At 10:00 AM a truck started traveling from point A with a speed of 40mph. 3 hours and 10 minutes later a car started to drive from point A in the same direction with an average speed of 60mph. At what time will the car catch up with the truck?
Answer:
12:07 pm
Step-by-step explanation:
The question is on relative speed
Calculate the distance covered by truck after 3hours and 10 minutes
Given; speed of truck= 40mph
Time the truck took to travel before the car started to drive from point A= 3h 10 minutes
Change hours to minutes= (60×3) + 10 = 190 minutes
Formulae for speed, S=d/t where S is speed of truck, d is distance covered and t is time
if S=d/t then distance d=S×t
d= 40×190/60 =380/3 =126.67 miles
Finding the time the car catch up with the truck
t=d/S where d=126.67 miles and speed of car = 60mph
t= 126.67/60 = 2.11 hours
Change hours to minutes
1 hr=60minutes
2.11 hrs= 2.11×60=126.67 minutes⇒2hrs and 6.67 minutes
t⇒2 hrs 7minutes
Add to the departure time
10.00 + 2: 07 = 12:07 pm
$2250 is deposited in an account that pays 6 annual interest compounded quarterly. find the balance after 10 years
Answer:
[tex]\$4,081.54[/tex]
Step-by-step explanation:
we know that
The compound interest formula is equal to
[tex]A=P(1+\frac{r}{n})^{nt}[/tex]
where
A is the Final Investment Value
P is the Principal amount of money to be invested
r is the rate of interest in decimal
t is Number of Time Periods
n is the number of times interest is compounded per year
in this problem we have
[tex]t=10\ years\\ P=\$2,250\\ r=0.06\\n=4[/tex]
substitute in the formula above
[tex]A=\$2,250(1+\frac{0.06}{4})^{4*10}=\$4,081.54[/tex]
Can someone help me please
The answer is phoenix is located at (-7,-10) it is written like this because you always have the x coordinate then the y coordinate
Answer:
From the Information provided by the graph shown above, i can conclude that Phoenix's location on the graph is (-7,-10)
what is the measure of secant dc
Answer:
CD = 3
Step-by-step explanation:
Given 2 secants from an external point to the circle, then
CB × CA = CD × CE , that is
4 × (4 + 6.5) = CD × 14
4 × 10.5 = 14CD
42 = 14CD ( divide both sides by 14 )
CD = 3
The graph of a linear equation contains the points (4,1) and (-2,-11). Which point also lies on the graph?
Answer:
Step-by-step explanation:
Answer: Option B is correct.(1, -5) lies on the graph
Answer:
(1,-5)
Step-by-step explanation:
Find the area of a circle that has a diameter of 11 inches. Approximate as 3.14. Round your answer to the nearest hundredth
formula for area of circle is
[tex]\pi {r}^{2} [/tex]
the diameter is 2 times the radius.
so if diameter is 11 then radius is 5.5
so then the answer will be 94.985
The first term of a geometric sequence is 5 and the common ratio is 2 what is the fourth term of the sequence?
A: 40 B: 80 C:250 D:1250
Answer:
the answer is a
Step-by-step explanation:
5*2 is 10
10*2 is 20
20*2 is 40
5,10,20,40
graph x = -2
Kfkdjfjdjdjf
Ifidjfjdjjfjfj
Answer:
This is a vertical line, that passes through x=-2
Step-by-step explanation:
This is a vertical line, x=-2 means that no matter what value has 'y' the variable 'x' will be -2.
Watch the attached picture
pLEASE HELP! If z varies inversely as w, and z=5 when w=8, find z when w=10
z=4. If z varies inversely as w, and z=5 when w=8, then when w=10 the value of z is 4.
This exercise is an example of reverse proportionality, Two magnitudes a and b are inversely proportional when there is a constant k such that
a⋅b=k, where constant k is called the proportionality constant.
Then if z varies inversely as w, and z=5 when w=8
z.w=k -------> 5.8=k -------> k=40
So, let's find z when w = 10. With k = 40
z.w=K, clear z from the equation
z=k/w -------> z=40/10 -----> z=4
Final answer:
To find z when w = 10 in an inverse variation equation, we can use the equation z = k/w. By substituting the given values and solving for the constant of variation, we find that when w = 10, z = 4.
Explanation:
To find the value of z when w is 10, we need to use the inverse variation equation. Inverse variation is represented by the equation z = k/w, where k is the constant of variation.
Given that z = 5 when w = 8, we can substitute these values into the equation to find k. 5 = k/8. Solving for k, we get k = 40.
Now, we can substitute the value of k and w = 10 into the equation z = k/w. z = 40/10 = 4. Therefore, when w = 10, z = 4.
Can you help me find the surface area?
Formula-
Area of base + Area of lateral faces.
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Answer:
[tex]\large\boxed{SA=397.5\ in^2}[/tex]
Step-by-step explanation:
The formyla of an area of a triangle:
[tex]A=\dfrac{bh}{2}[/tex]
b - base
h - height
Area of a base:
[tex]B=\dfrac{(15)(13)}{2}=97.5\ in^2[/tex]
Area of one triangle of lateral area:
[tex]L=\dfrac{(15)(10)}{2}=75\ in^2[/tex]
The Surface Area:
[tex]SA=B+4L\to SA=97.5+4(75)=397.5\ in^2[/tex]
cos(70° )cos(20° )+sin(70° )sin(20° )=cos(___°)?
Answer:
Step-by-step explanation:
Sum and Difference Formula
cos( U +/- V ) = cosU*cosV -/+ sinU*sinV
cos( U - V ) = cos(70)cos(20) + sin(70)sin(20)
cos( U - V ) = cos (70 - 20)
cos( 50 ) = .642788
A rectangular prism has a length of 5 1/8 feet, a width of 7 1/2 feet, and a height of 2 feet. What is the volume of the prism? Enter your answer in the box. ft³
For this case we have that by definition, the volume of a rectangular prism is given by:
[tex]V = A_ {b} * h[/tex]
Where:
[tex]A_ {b}:[/tex] It is the area of the base
h: It's the height
According to the data we have:
[tex]length = 5 \frac {1} {8} = \frac {8 * 5 + 1} {8} = \frac {41} {8}[/tex]
[tex]width = 7 \frac {1} {2} = \frac {2 * 7 + 1} {2} = \frac {15} {2}[/tex]
Then:
[tex]A_ {b} = \frac {41} {8} * \frac {15} {2} = \frac {615} {16}[/tex]
Thus, the volume is:
[tex]V = \frac {615} {16} * 2 = \frac {1230} {16} = 76.875[/tex]
Answer:
[tex]76.875 \ ft ^ 3[/tex]
10 ounces of spicy popcorn is 2.50. write an equation that represents this equation. use p for ounces of popcorn and c for cost in dollars.
Answer:
CP/P
Step-by-step explanation:
E.g Q.If 10 ounces of spicy popcorn is $2.50, how much is 20 ounces?
A.10 ounces=$2.50
20 ounces=?20x2.50/10=$5
So, the cost of 20 ounces of spicy popcorn is $5
Answers:
c=0.25p
p=4c
c=.25p
c=1/4p
Kyle is finding the area of this figure using a rectangle and a triangle. What is the area of the figure?
A) 315 cm2
B) 405 cm2
C) 90 cm2
D) 325 cm2
Answer:
B
Step-by-step explanation:
15*21=315
12*15=180
180/2=90
315+90=405