Answer:
18 jars can be filled completely.
Step-by-step explanation:
7L=7000ml
1 jar contain 375 ml
375ml can be filled in 1 jar
375ml=1 jar
1 ml = 1/375 jar
7000 ml = 7000× 1/375 jar
7000ml= 18.67 jar
hence 18 jars can be filled completely.
The total number of jars that can be filled with sauce is A = 18 jars
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
Substituting the values in the equation , we get
Saj has made 7 litres of curry sauce = 7000 mL
And , each jar can be completely filled with 375 millilitres of cury sauce
So , the number of jars A = 7000 / 375
On simplifying the equation , we get
A = 18.67 jars
Hence , the number of jars is A = 18 jars
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what is the slope of this graph
Answer:
Slope, m = 5
Step-by-step explanation:
Picking points on the x-axis and y-axis of the graph;
Point on x-axis (x1, x2) = 2, 4
Points on the y-axis (y1, y2) = 10, 20
To find the slope;
Mathematically, slope is given by the formula;
[tex] Slope = \frac{Change \; in \; y \; axis}{Change \; in \; x \; axis} [/tex]
[tex] Slope, m = \frac {y_{2} - y_{1}}{x_{2} - x_{1}} [/tex]
Substituting into the equation, we have;
[tex] Slope, m = \frac {20 - 10}{4 - 2} [/tex]
[tex] Slope, m = \frac {10}{2} [/tex]
Slope, m = 5
Is the function shown in the graph one-to-one?
Yes, there exists one input for every output.
No, there exists more than one input for at least one output.
Yes, there exists one output for every input.
No, there exists more than one output for at least one input.
Write the standard equation for the circle whose center is at (6,2) and whose radius is 2.
Answer:
[tex](x - 6)^2 + (y - 2)^2 = 2^2[/tex].
Step-by-step explanation:
In general, let [tex](a,\, b)[/tex] denote the center of a given circle. Let [tex]r[/tex] denote the radius of that circle. The standard equation for that circle would be:
[tex](x - a)^2 + (y - b)^2 = r^2[/tex].
The circle in this question is centered at [tex](6,\, 2)[/tex].
[tex]6[/tex] is the [tex]x[/tex]-coordinate of the center of this circle. [tex]a = 6[/tex].[tex]2[/tex] is the [tex]y[/tex]-coordinate of the center of this circle. [tex]b = 2[/tex].The radius of this circle is [tex]2[/tex]. Therefore, [tex]r = 2[/tex].
Hence, the standard equation for this circle would be:
[tex](x - 6)^2 + (y - 2)^2 = 2^2[/tex].
can anyone help please
Answer:
x = 0, x = [tex]\frac{3}{2}[/tex]
Step-by-step explanation:
Given
8x² - 12x = 0 ← factor out 4x from each term
4x(2x - 3) = 0
Equate each factor to zero and solve for x
4x = 0 ⇒ x = 0
2x - 3 = 0 ⇒ 2x = 3 ⇒ x = [tex]\frac{3}{2}[/tex]
There are 15 red, 14 green, and 9 yellow balls in a bag. What is the minimum number of balls that Bob needs to take out of the bag (without looking) so that at least 12 the balls are the same color?
26 balls
Step-by-step explanation:
have to at least take 11 red, 10 green 5 yellow so have 12 balls in bag
Picture Below
(i have to make this 20 characters so I'm doing this now)
Answer:
H.
Step-by-step explanation:
16x^2 is the big square area and the -10x comes from subtracting the smaller area from the big one
Answer:
H. is the answer
hope this helps
have a good day :)
Step-by-step explanation:
When Annie hits a softball, the height of the
ball above the ground after t seconds is given
by h = -4.9/2 + 19.61 + 1.4 metres. Find the
maximum height reached by the ball.
Answer:
21 metres.
Step-by-step explanation:
I think you mean the equation to be:
h = -4.9t^2 + 19.6t + 1.4
To find the maximum height we convert the equation to vertex form:
h = -4.9(t^2 - 4t) + 1.4
h = -4.9[(t - 2)^2 - 4] + 1.4
h = -4.9(t - 2)^2 + 19.6 + 1.4
h = -4.9(t - 2)^2 + 21.
The maximum height is 21 metres.
find the vertex of the graph of the following quadratic equations y= -3x^2 -12x-13
Answer:
Step-by-step explanation:
The vertex is a point. The x value is defined as x = - b / 2a where
a = -3
b = - 12
x = - -12/ 2* -3
x = 12 / - 6
x = -2
what is y when x = - 2?
y = -3(-2)^2 - 12(-2) - 13
y = -12 + 24 - 13
y = -1
Does the graph agree? It should
The equation is written as
y = -3(x + 2)^2 - 1
anyone help please!
A tutoring company would like to understand if most students tend to improve their grades (or not) after they use their services. They sample 220 of the students who used their service in the past year and ask them if their grades have improved or declined from the previous year. Write the null and alternative hypotheses in words.
Answer:
Null hypothesis :
Grades have not improved for a majority of students
Alternative hypothesis :
Grades have improved for a majority of students
Step-by-step explanation:
The null and alternative hypothesis for this scenario who see the null hypothesis take a midpoint between improvement and decline ; which can be expressed as ;
H0 : p = 0.5
This means that the performance of students is at a centre point where it could swing either way (decline or improve).
To test of grade has improved students, the, the proportion of f students who have proved should be greater. Which is what the test intends.
H1 : p > 0.5
For all x -4 which of the following is equivalent to the expression below?
x2 + 12x + 32 / x + 4
A. X + 3
B. X + 8
C. X + 11
D. X + 16
E. X + 28
A and e
Step-by-step explanation:
i did this on khan so I know it
The expression (x² + 12x + 32)/(x + 4) is equivalent to (x+8) option (B) (x+8) is correct.
What is an expression?It is defined as the combination of constants and variables with mathematical operators.
We have an expression:
[tex]=\rm \dfrac{x^2 + 12x + 32} { x + 4}[/tex]
[tex]=\rm \dfrac{(x+4)(x+8)} { x + 4}[/tex]
As it is given, x ≠ -4
We can cross the term (x+4) from the numerator and denominator.
= (x+8)
Thus, the expression (x² + 12x + 32)/(x + 4) is equivalent to (x+8) option (B) (x+8) is correct.
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The focus of a parabola is (2, 5) and the directrix is y = 1. What is the equation of the parabola?
Answer:
y = 0.125x² - 0.5x + 3.5
Hope that this helps!
Answer:
y = 0.125x² - 0.5x + 3.5
Step-by-step explanation:
I dont know if its correct hope it helped
$5000 grew to $9000 at the compound interest of 12% per annum what was the years taken for the investment
Answer:
1year?hehehehehehehehehe
One term of a geometric sequence is a4=135. The common ratio is r=3. Write an explicit rule for the nth term.
Answer:
[tex]a_{n} = 5 * 3^{n-1}[/tex]
Step-by-step explanation:
To find the nth term of a geometric sequence, you have the general formula:
[tex]a_{1} *r^{n-1}[/tex]
where a1 is the first term and r is the common ratio. In order to find the 4th term, we can substitute what we have(n is 4 because we are looking for the fourth term):
135 = [tex]a_{1} * 3^{4 - 1}[/tex]
135 = [tex]a_{1} * 3^3[/tex]
135 = [tex]27a_{1}[/tex]
[tex]a_{1} = 5[/tex]
Now, we can substitute the first term back in:
[tex]a_{n} = 5 * 3^{n-1}[/tex]
A circle has radius 6 cm. Suppose an arc on the circle has length 31 cm. Answer the
following:
a. The fraction of the whole circle represented by this arc is
b. The measure of the central angle defined by the arc is
degrees.
C. The area of the sector defined by the arc is
cm2. (Express answer
in terms of r or pi).
Answer:
[tex]Fraction = \frac{31}{38}[/tex]
[tex]\theta = 296.18^\circ[/tex]
[tex]Area = 29.62 \pi[/tex]
Step-by-step explanation:
Given
[tex]r = 6[/tex]--- radius
[tex]L = 31[/tex] --- arc length
Solving (a): Fraction represented by the arc
First, calculate the circumference (C)
[tex]C = 2\pi r[/tex]
So, we have:
[tex]C = 2 * 3.14 * 6[/tex]
[tex]C = 38[/tex] --- approximated
So, the fraction represented by the arc is:
[tex]Fraction = \frac{L}{C}[/tex]
[tex]Fraction = \frac{31}{38}[/tex]
Solving (b): Measure of the center angle
Using arc length formula, we have:
[tex]L = \frac{\theta}{360} * 2\pi r[/tex]
This gives
[tex]31 = \frac{\theta}{360} * 2 * 3.14 * 6[/tex]
[tex]31 = \frac{\theta}{360} * 37.68[/tex]
Make [tex]\theta[/tex] the subject
[tex]\theta = \frac{360 * 31}{37.68}[/tex]
[tex]\theta = 296.18^\circ[/tex]
Solving (c): The area of the sector
This is calculated as:
[tex]Area = \frac{\theta}{360} * \pi r^2[/tex]
So, we have:
[tex]Area = \frac{296.18}{360} * \pi * 6^2[/tex]
[tex]Area = \frac{296.18}{360} * \pi * 36[/tex]
Divide 360 and 36
[tex]Area = \frac{296.18}{10} * \pi[/tex]
[tex]Area = 29.618 * \pi\\[/tex]
[tex]Area = 29.62 \pi[/tex] --- approximated
HELP ME WITH THIS PLS! MATH :)
Answer:
(-7,5)
Step-by-step explanation:
the question was cut off, but I'm assuming that you want to find the location of Denver. Looking at the coordinate plane, Denver, would sit at (-7,5) as you find what x and y values they meet up at. Hopefully this answers your question
If we are looking for the location of Dallas (that is all I see), the coordinates would be as follows.
(2,-4)
Hope this helps.
8n^2+4n-16=-n^2 Show your work so I can get an answer
Solve the equation for
n
by finding
a
,
b
, and
c
of the quadratic then applying the quadratic formula.
Exact Form:
n
=
−
2
±
2
√
37
9
Decimal Form:
n
=
1.12950278
…
,
−
1.57394722
…
please tell me where i have to graph this!! also please tell me if i open the dot or not. (NO FILE ANSWERS!!)
Answer:
Graph at 0 with open circle and arrow pointing right. Right now, all you need to do is open circle
Step-by-step explanation:
Dot at 0 bc 0 is only number in equation
Open circle because there is no "or equal to", so it doesn't include zero
pointing right because right is greater than
please help will give brainliest
Answer:
4
Step-by-step explanation:
The number of kids who like vanilla is 13 the number of kids who like strawberry is 9
13-9=4
hope this helps!!
Please find the answer! <3 tyvm have a great day/night!!!
Answer:
96
Step-by-step explanation:
area is B*H*L
6*8*2 = Area
96 = Area
Researchers surveyed 250 college students at one time. They were asked if they were taking any engineering classes and whether or not they felt depressed. If 75 students reported taking at least one engineering class and 15 of those students said they were depressed, what is the incidence of depression in this group
Answer:
the incidence of the depression is 1 ÷ 5
Step-by-step explanation:
Given that
There is 250 college students that are surveyed
In the case when 75 students reported for minimum ne engineering class
And, out of this 15 students would be depressed
We need to find out the incidence of the depression
So
= 15 ÷ 75
= 1 ÷ 5
Hence, the incidence of the depression is 1 ÷ 5
If A = –2p + 7 and B = p2 + 3p – 5, find an expression that equals A – 3B in
standard form.
Answer:
-3p^2 - 11p + 22
Step-by-step explanation:
A - 3B becomes (-2p + 7) - 3*(p^2 + 3p - 5).
Perform the indicated multiplication, obtaining:
(-2p + 7) - 3p^2 - 9p + 15, and then:
-2p + 7 - 3p^2 - 9p + 15, or (combining like terms):
-3p^2 - 11p + 22
R 408 344 525.2 What i want to know this money is a millions or thousand?
Answer:
million
Step-by-step explanation:
Please can somebody help me
Answer:
Rectangle: bh or l · w
Circle: pi(r)²
For the concentric circles shown, the radius of the inner circle is 3 centimeters and the distance from the
cdge of the inner circle to the edge of the outer circle is 7 centimeters. What is the exact arca, in squarc
centimeters, of the shaded outer region?
Answer:
d
Step-by-step explanation:
Area of the inner circle = 3^2 π = 9 π
total area = 10^2 π = 100π
area of the shaded region
100π - 9 π = 91 π
The area of the shaded region is 91π square cm if the radius of the inner circle is 3 centimeters and the distance from the edge of the inner circle to the edge of the outer circle is 7 centimeters option (d) is correct.
What is a circle?It is defined as the combination of points that and every point has an equal distance from a fixed point ( called the center of a circle).
We have:
The radius of the inner circle r = 3cm
The distance from the edge of the inner circle to the edge of the outer circle = 7 cm
So the radius of the outer circle = 7+3 = 10 cm
Area of the inner circle = π(3)² = 9π square cm
Area of the outer circle = π(10)² = 100π square cm
Area of the shaded region = 100π -9π = 91π square cm
Thus, the area of the shaded region is 91π square cm if the radius of the inner circle is 3 centimeters and the distance from the edge of the inner circle to the edge of the outer circle is 7 centimeters option (d) is correct.
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What is a,b,c and d please help me
Step-by-step explanation:
Edit:
a is 18
b is 36
c is 18
d is 18 times sqr root of 3
Answers:
a = 18b = 36c = 18d = 18*sqrt(3)sqrt is shorthand for "square root"
=====================================================
Explanation:
The smaller triangle on the left is a 45-45-90 triangle (aka isosceles right triangle). One special property of such triangles is that the legs are the same length, meaning a = c. Another special feature is that the hypotenuse is exactly sqrt(2) times that of the leg.
In other words, if x is the leg length, then x*sqrt(2) is the length of the hypotenuse. That means mean a = 18 in order for the hypotenuse to be 18*sqrt(2). This then leads to c = 18 as well.
--------------
The smaller triangle on the right side has a = 18 as the shorter leg, opposite the smallest angle (30 degrees). The hypotenuse b is twice that of the short leg, and this works because we're dealing with a 30-60-90 triangle. Therefore b = 2a = 2*18 = 36.
The longer leg d is equal to sqrt(3) times the short leg, ie,
d = a*sqrt(3)
d = 18*sqrt(3)
You could use the pythagorean theorem to solve for d like so:
a^2 + d^2 = b^2
18^2 + d^2 = 36^2
d^2 = 972
d = sqrt(972)
d = 18*sqrt(3)
I skipped a bunch of steps, but you get the idea.
What is the volume of a rectangular prism that has a length of 18 inches, a width of 1 foot, and a height of 14 inches?
Answer:
3024
Step-by-step explanation:
l * w * h
18 in. * 12 in. * 14 in.
there are 12 inches in 1 foot.
5th grade math. correct answer will be marked brainliest
Answer:
C
Step-by-step explanation:
Find the product of (√2 + √5) (√7 - √5)
PLs help( a guy answered to this image (linked below) said I have to find that to find the answer) pls solve for me! THx :))))
Answer:
[tex](\sqrt 2 + \sqrt 5)(\sqrt 7 - \sqrt 5) = \sqrt{14} - \sqrt{10} +\sqrt{35} - 5[/tex]
Step-by-step explanation:
Given
[tex](\sqrt 2 + \sqrt 5)(\sqrt 7 - \sqrt 5)[/tex]
Required
Solve
We have:
[tex](\sqrt 2 + \sqrt 5)(\sqrt 7 - \sqrt 5)[/tex]
Open bracket
[tex](\sqrt 2 + \sqrt 5)(\sqrt 7 - \sqrt 5) = \sqrt{2*7} - \sqrt{2*5} +\sqrt{5*7} - \sqrt{5* 5}[/tex]
[tex](\sqrt 2 + \sqrt 5)(\sqrt 7 - \sqrt 5) = \sqrt{14} - \sqrt{10} +\sqrt{35} - 5[/tex]
The Wall Street Journal reported that Walmart Stores Inc. is planning to lay off employees at its Sam's Club warehouse unit. Approximately half of the layoffs will be hourly employees (The Wall Street Journal, January 25-26, 2014). Suppose the following data represent the percentage of hourly employees laid off for Sam's Club stores. 55 56 44 43 44 56 60 62 57 45 36 38 50 69 65 a. Compute the mean and median percentage of hourly employees being laid off at these stores.
Answer:
The mean percentage of hourly employees being laid off at these stores is 52.
The median percentage of hourly employees being laid off at these stores is 55.
Step-by-step explanation:
Mean:
Sum of all values divided by the number of values.
So
[tex]M = \frac{55+56+44+43+44+56+60+62+57+45+36+38+50+69+65}{15} = 52[/tex]
The mean percentage of hourly employees being laid off at these stores is 52.
Median:
Value that separate the lower 50% from the upper 50% in the sorted set.
The sorted set is
36 38 43 44 44 45 50 55
The set has cardinality 15, which is an odd number, so the median is the element at the position (15+1)/2 = 8 of the sorted set, which is 55.
The median percentage of hourly employees being laid off at these stores is 55.