Answer:
1260
Step-by-step explanation:
Round 0.65 to 0.7 and round 1754 to 1800. To get 1260, I recommend an easy way to do this. I would take 18 and multiply it by 7, giving us 126. Because it was supposed to be 0.7, not 7, we multiply by 10 because 7/10 is 0.7. This gives us 126 times 10 which equals 1260.
By rounding 0.65 to the nearest tenth and 1754 to the nearest hundred, we get 0.7 and 1800 respectively. Multiplying these gives an estimated product of 1260.
Explanation:To estimate the answer by rounding the first number to the nearest tenth and the second number to the nearest hundred, we start by determining the rounded numbers. The number 0.65 rounded to the nearest tenth is 0.7, and the number 1754 rounded to the nearest hundred is 1800. Multiplying these two rounded numbers together gives us 0.7 × 1800 = 1260.
Therefore, by rounding before multiplying, we can estimate that 0.65 × 1754 is approximately 1260. This estimation technique helps simplify calculations and is very useful when an exact answer is not required, especially when dealing with large numbers or calculations that would otherwise be complex.
If you answer parts one and 2 ill give you brainiest and 30 points
Step-by-step explanation:
The center of the circle is moved 3 units to the left and 4 units down. So a = -3 and b = -4.
Which number line represents this expression? -8 + 5
Answer:
Step-by-step explanation:
-3 is the number u will get. Hope this helps!!
To represent the expression -8 + 5 on a number line, start at -8 and move 5 units to the right, ending at -3.
Explanation:To represent the expression -8 + 5 on a number line, we start at -8 and move 5 units to the right. Since we are adding a positive number, the arrow on the number line will point to the right.
So the number line that represents the expression -8 + 5 would start at -8 and have an arrow pointing to the right, ending at -3.
Learn more about Representation on Number Line here:https://brainly.com/question/36926221
#SPJ2
22 is 20% of what number?
A) 11
B) 44
C) 110
D) 440
Answer:
C) 110.
Step-by-step explanation:
To find it you must multiply in number by 5.
22*5=110.
To prove it you must divide it into 5, since 20 is the fifth part of 110.
110/5=22.
Answer:
C) 110Step-by-step explanation:
[tex]\bold{Method\ 1}\\\\\begin{array}{ccc}22&-&20\%\\x&-&100\%\end{array}\qquad\text{cross multiply}\\\\20x=(22)(100)\\20x=2200\qquad\text{divide both sides by 20}\\x=110[/tex]
[tex]\bold{Method\ 2}\\\\\begin{array}{cccc}22&-&20\%&\text{multiply both sides by 5}\\5\cdot22&-&5\cdot20\%\\110&-&100\%\end{array}[/tex]
[tex]\bold{Method\ 3}\\\\p\%=\dfrac{p}{100}\to 20\%=\dfrac{20}{100}=0.2\\\\n-number\\\\20\%\ of\ n\ is\ 22\to0.2x=22\qquad\text{divide both sides by 0.2}\\\\x=\dfrac{22}{0.2}\\\\x=\dfrac{220}{2}\\\\x=110[/tex]
Crop yield is the ratio of the number of bushels harvested to the number of acres used for the harvest. This year, the harvest at a farm was 94,010 bushels of grain, resulting in a crop yield of 170 bushels per acre.
To the nearest whole acre, how many acres were harvested?
acres
Answer:
[tex]553\ acres[/tex]
Step-by-step explanation:
Let
z------> the crop yield
x----> the number of bushels harvested
y----> the number of acres used for the harvest
[tex]z=\frac{x}{y}[/tex]
we have
[tex]x=94,010\ bushels[/tex]
[tex]z=170\ bushels/acre[/tex]
substitute and solve for y
[tex]170=\frac{94,010}{y}[/tex]
[tex]y=\frac{94,010}{170}=553\ acres[/tex]
Answer:
553
Step-by-step explanation:
Simplify: 2(5+3x)+(x+10)
Hoi there!
First, we can open parenthesis.
10+6x+x+10
Then combine like terms.
20+4x
We can put it in parenthesis (if you need it that way).
4(5+x)
So, your answer would be:
20+4x in not factored form.
4(5+x) in factored form.
Hope I helped, sorry if I'm wrong ouo.
~Potato.
Copyright Potato 2019.
Trademark Potato 2019.
Suppose that y varies directly with x and y 12 when x--2. What is x when y -6?
Answer:
The ordered pair that satisfies this problem is (1, -6); x = 1 when y = -6.
Step-by-step explanation:
Please, rewrite your question as follows:
"Suppose that y varies directly with x and y = 12 when x = -2. What is x when
y = -6?" The " = " sign must be included.
The pertinent proportional relationship is y = kx, where k is the constant of proportionality.
We must find k here. Let y = 12 and x = -2. Then 12 = k(-2), or k = -6.
Then the relationship is y = -6x.
Now let y = -6 and find x: -6 = -6x, or x = 1.
The ordered pair that satisfies this problem is (1, -6)
The population Of a town in Utah in 1997 was 6000. After two years the population of the town was 145% of the 1997 population. What is the population of the town after two years?
A) 6145
B) 7000
C) 8700
D) 9000
Answer:
c 8700
Step-by-step explanation:
Answer:
The answer is (C. 8700
Step-by-step explanation:
I took the test
Solve for the value of x:
Answer: 32
Step-by-step explanation:
Which of the following are In The correct order from least to greatest?
This ones a bit tricky but the answer is A
PLEASE HELP AS SOON AS POSSIBLE
The diagram shows the floor plan for Harry’s new tree house. The entry Terrance on the tree house is shaped like an isosceles trapezoid
The entry has an area of (blank) square feet the total area of the tree house is (blank) square feet
Answer:
The entry has an area of __44___ square feet
The total area of the tree house is __345__ square feet
Step-by-step explanation:
Let's first calculate the area of the trapezoid entrance:
The area of a trapezoid is given by:
A =((b1 + b2) * h) / 2
Where b1 and b2 are the bases or parallel sides. So, we have:
A = ((6 + 16) * 4) / 2 = (22 * 4) / 2 = 44 sq ft
Now, let's look at the other areas... which are all rectangles, so easy to calculate (b * h).
Playroom: 16 x 14 = 224 sq ft
Side Deck: 3 x 14 = 42 sq ft
Back Porch: 6 x6 = 35 sq ft
So, in the total area of the tree house is:
TA = 44 + 224 + 42 + 35 = 345 sq ft
Answer:
The entry terrace has an area of
48
square feet. The total area of the tree house including the entrance, porch, and side deck is
350
square feet.
Step-by-step explanation:
I just took a test with this question and this was the right answer
~Please mark me as brainliest :)
which is the axis of symmetry of a parabola with equation x^2=-4y?
Answer:
x = 0
Step-by-step explanation:
Given
x² = - 4y ( divide both sides by - 4 )
y = - [tex]\frac{1}{4}[/tex] x²
Which is a parabola opening vertically down with it's vertex at (0, 0) and symmetrical about the y- axis
Hence equation of axis of symmetry is x = 0
What is the general form of the equation of a circle with its center at (-2, 1) and passing through (-4, 1)?
Answer:
[tex]x^{2}+y^{2} +4x-2y+1=0[/tex]
Step-by-step explanation:
we know that
The general form of the equation of a circle is
[tex]x^{2} +y^{2}+ Dx + Ey + F=0[/tex]
where D, E, F are constants
step 1
Find the radius of the circle
Remember that the distance from the center to any point on the circle is equal to the radius
so
the formula to calculate the distance between two points is equal to
[tex]d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}[/tex]
[tex](-2,1)\\(-4,1)[/tex]
substitute the values
[tex]r=\sqrt{(1-1)^{2}+(-4+2)^{2}}[/tex]
[tex]r=\sqrt{(0)^{2}+(-2)^{2}}[/tex]
[tex]r=2\ units[/tex]
step 2
Find the equation of the circle in standard form
[tex](x-h)^{2} +(y-k)^{2}=r^{2}[/tex]
In this problem we have
center ( -2,1)
radius r=2 units
substitute
[tex](x+2)^{2} +(y-1)^{2}=2^{2}[/tex]
[tex](x+2)^{2} +(y-1)^{2}=4[/tex]
Step 3
Convert to general form
[tex](x+2)^{2} +(y-1)^{2}=4\\ \\x^{2}+4x+4+y^{2}-2y+1=4\\ \\x^{2}+y^{2} +4x-2y+1=0[/tex]
Cone A has a diameter of 10 inches and Cone B has a diameter of 50 inches. If the cones are similar, find the volume ratio of Cone A to Cone B.
If the cone are similar, the volume ratio of Cone A to Cone B will be 1:25.
How do you calculate the volume of a right circular cone?
The right circular cone is one in which the line from the cone's peak to the center of the circle's base is perpendicular to the base's surface.
Assume that the radius of the right circular cone under consideration is 'r' units, and the height 'h' units. Then the volume is then expressed as;
[tex]\rm V = \dfrac{1}{3} \pi r^3 h \: \rm unit^3[/tex]
If the cone are similar, the volume ratio of Cone A to Cone B;
[tex]\rm \frac{V_A}{V_B}=(\frac{R_A}{R_B})^3 } \\\\\ \frac{V_A}{V_B}=( \frac{5}{25} )^3 \\\\\ \frac{V_A}{V_B}=\frac{1}{125}[/tex]
If the cone are similar, the volume ratio of Cone A to Cone B will be 1:25.
Learn more about cone volume here:
https://brainly.com/question/26093363
#SPJ2
Find the indicated limit
Answer:
[tex]\lim_{x \to 0} \frac{x^2}{sinx}=0[/tex]
Step-by-step explanation:
[tex]f(-0.03)=-0.0300\\f(-0.02)=-0.0200\\f(-0.01)=-0.0100\\f(0.01)=0.0100\\f(0.02)=0.0200\\f(0.03)=0.0300[/tex]
As the Left side of the function is approaching 0 as it gets closer to x=0 and the Right side is also approaching 0 as it gets closer to x=0, the limit would be 0.
Divide. 3.25 ÷ 0.5 =
Answer: The answer to 3.25÷0.5 is 6.5 :)
Step-by-step explanation:
Use cross products to solve the proportion:
5/m = 15/9
M = 3
Is that what you were looking for?
Hope this helps. please add brainlist
Daniel earned $8.00 per hour at his job. .Daniel works 35 hours each week.
. He received a 5% pay increase
. How much more money will Daniel earn each week after the pay increase
Answer:
$14
Step-by-step explanation:
Wages earned by daniel in one hour = $8
Number of working hours spend by daniel in each week = 35
Wages earned by daniel in each week without pay increase = [tex]35\times 8 = 280[/tex]
Increase in pay per week = [tex]\frac{5}{100} \times 280= 14[/tex]
Therefore extra wages earned by Daniel will be $14.
$14
Step-by-step explanation:
Wages earned by daniel in one hour = $8
Number of working hours spend by daniel in each week = 35
Wages earned by daniel in each week without pay increase =
Increase in pay per week =
Therefore extra wages earned by Daniel will be $14.
Which of the following is equivalent to a real number?
Among the given options, only ((-196)^(1/4)) is equivalent to a real number, as it involves the fourth root of a negative number, which results in a real value.
The correct answer is option B.
To determine which expression is equivalent to a real number, we need to consider the roots involved and whether they result in a real value.
Let's analyze each option:
A. (-1503)^(1/6): The expression involves the sixth root of a negative number. Odd roots of negative numbers are real, but even roots are not. Therefore, this expression is not guaranteed to be real.
B. (-196)^(1/4): The expression involves the fourth root of a negative number. Similar to option A, the fourth root of a negative number is real, so this expression is valid.
C. (-144)^(1/2): This expression involves the square root of a negative number. Square roots of negative numbers are not real; hence, this expression is not equivalent to a real number.
D. (-1024)^(1/2): The expression involves the square root of a negative number as well. Like option C, this expression is not equivalent to a real number.
In summary, option B ((-196)^(1/4)) is equivalent to a real number because it involves the fourth root of a negative number, and odd roots of negative numbers are real.
What percent is represented by the shaded area?
flip your phone sideways
there are two pieces, both divided in 10 equal segments.
so each piece is 10/10, or namely 1 whole.
two pieces, 10/10 each, is 20/10 for the whole thing, but there are only 11 shaded, so if we take 20 to be the 100%, what is 11 off of it in percentage?
[tex]\bf \begin{array}{ccll} amount&\%\\ \cline{1-2} 20&100\\ 11&x \end{array}\implies \cfrac{20}{11}=\cfrac{100}{x}\implies 20x=1100\\\\\\ x=\cfrac{1100}{20}\implies x=55[/tex]
Solve the equation for x.
Answer:
[tex]x=55[/tex]
Step-by-step explanation:
The given equation is [tex]\sqrt{x-6}+3=10[/tex]
Group similar terms to get:
[tex]\sqrt{x-6}=10-3[/tex]
[tex]\sqrt{x-6}=7[/tex]
Square both sides to obtain:
[tex]x-6=7^2[/tex]
[tex]x-6=49[/tex]
Add 6 to both sides
[tex]x=49+6[/tex]
Simplify the right hand side to obtain;
[tex]x=55[/tex]
What's the surface area?
Answer:
300cm
Step-by-step explanation:
First you get the length, width, and height. The length is 15, the width is 12, and the height is 10.
15*12=180
Since their is 2 you multiply by 2
180*2=360
12*10=120
Since their is 2 you multiply by 2
120*2=240
Then you divide by 2 since it is a triangle but before that you add the products up
360+240=600
600/2=300
determine the rational zeros for the function f(x)=x^3+7x^2+7x-15
Answer:
1,-3,-5
Step-by-step explanation:
Given:
f(x)=x^3+7x^2+7x-15
Finding all the possible rational zeros of f(x)
p= ±1,±3,±5,±15 (factors of coefficient of last term)
q=±1(factors of coefficient of leading term)
p/q=±1,±3,±5,±15
Now finding the rational zeros using rational root theorem
f(p/q)
f(1)=1+7+7-15
=0
f(-1)= -1 +7-7-15
= -16
f(3)=27+7(9)+21-15
=96
f(-3)= (-3)^3+7(-3)^2+7(-3)-15
= 0
f(5)=5^3+7(5)^2+7(5)-15
=320
f(-5)=(-5)^3+7(-5)^2+7(-5)-15
=0
f(15)=(15)^3+7(15)^2+7(15)-15
=5040
f(-15)=(-15)^3+7(-15)^2+7(-15)-15
=-1920
Hence the rational roots are 1,-3,-5 !
Answer:
Actual rational zeros of f(x) are x=-5, x=-3, and x=1.
Step-by-step explanation:
Given function is [tex]f(x)=x^3+7x^2+7x-15[/tex].
constant term = p = -15
coefficient of leading term q= 1
then possible rational roots of given function f(x) are the divisors of [tex]\pm \frac{p}{q}=\pm 1, \quad \pm 3, \quad \pm 5, \quad \pm 15[/tex]
Now we can plug those possible roots into given function to see which one of them gives output 0.
test for x=1
[tex]f(x)=x^3+7x^2+7x-15[/tex]
[tex]f(1)=1^3+7(1)^2+7(1)-15[/tex]
[tex]f(1)=1+7+7-15[/tex]
[tex]f(1)=0[/tex]
Hence x=1 is the actual rational zero.
Similarly testing other roots, we get final answer as:
Actual rational zeros of f(x) are x=-5, x=-3, and x=1.
Write the difference 16 -(-53) as a sum then simplify
Answer:
69Step-by-step explanation:
(-)(-) = (+)
(+)(+) = (+)
(-)(+) = (+)(-) = (-)
--------------------------------------
16 - (-53) = 16 + 53 = 69
2xsquared-9x+1=0 value of discriminant and number of real solutions
Answer:
• discriminant: 73
• # of real solutions: 2
Step-by-step explanation:
Comparing the equation ...
2x^2 -9x +1 = 0
to the generic form ...
ax^2 +bx +c = 0
we find the coefficient values to be ...
a = 2; b = -9; c = 1
That makes the value of the discriminant, (b^2 -4ac), be ...
(-9)^2 -4(2)(1) = 81 -8 = 73
Since the discriminant is positive, the number of real solutions is 2.
10. PLEASE ANSWER ASAP
(08.03 MC)
A system of equations is shown below:
y = 5x + 3
y = 4x + 6
What is the solution to the system of equations? (1 point)
A. (–3, 18)
B. (–3, –18)
C. (3, –18)
D. (3, 18)
Answer:
D. (3, 18)Step-by-step explanation:
[tex]\left\{\begin{array}{ccc}y=5x+3&(1)\\y=4x+6&(2)\end{array}\right\\\\\text{Substitute (1) to (2):}\\\\5x+3=4x+6\qquad\text{subtract 3 from both sides}\\5x=4x+3\qquad\text{subtract 4x from both sides}\\x=3\\\\\text{Put the value of x to (1):}\\\\y=5(3)+3\\y=15+3\\y=18[/tex]
Ray is buying some ginger roots to brew some fresh ginger ale. The price of the ginger roots is G, and Ray has a coupon for 10%, percent off.
The expression 0.9G0, point, 9, G represents the price Ray pays for the ginger roots after using the coupon.
What does 0.90, point, 9 represent in this context?
Final answer:
The value 0.9 represents the 90% of the original price a customer pays after applying a 10% discount. It is used to calculate the discounted price by multiplying the original price by 0.9.
Explanation:
In the context of this question, 0.9 (or 0.90) represents the remainder of the original price G after a 10% discount is applied. When Ray uses his coupon for 10% off the price of ginger roots, this discount factors out 10% of the cost, leaving him to pay just 90% of the original price. This is why the price he pays can be represented as 0.9G, which is the same as saying 90% of G.
The 0.9 is a decimal representation of the percentage that remains after the discount. So, if the original price G is, for example, $10.00, with a 10% discount Ray would be saving $1.00, and thereby paying 90% of the original price, or $9.00. So, 0.9 in this calculation effectively means 90% of the original price.
Representing changes in price using decimals and percentages is a common method in mathematics to describe percentage change or discounts succinctly.
Ms.Stewart teaches three science classes. Her students are freshman and sophomores. Her student data are shown in the relative frequency table. Which statement is false?
Answer:
Option A is correct that It is a FALSE Statement.
Step-by-step explanation:
Given:
Total number of student = 1
Number of student in Physical Science = 0.3
Number of student in Chemistry = 0.35
Number of student in Biology = 0.35
Number of student who are Sophomores = 0.55
To find: False Statement among given ones.
Percentage of the student in Physical Science = [tex]\frac{0.3}{1}\times100[/tex] = 30%
Percentage of the student in Chemistry = [tex]\frac{0.35}{1}\times100[/tex] = 35%
Percentage of the student in Biology = [tex]\frac{0.35}{1}\times100[/tex] = 35%
Percentage of the student who are Sophomores = [tex]\frac{0.55}{1}\times100[/tex] = 55%
Therefore, Option A is correct that It is a FALSE Statement.
Answer:
A is the answer
Step-by-step explanation:
Find the standard form of the equation of the parabola with a focus at (5, 0) and a directrix at x = -5. (5 points) y = 1 divided by 20 x2 20y = x2 x = 1 divided by 20 y2 y2 = 20x
The standard form of the equation of the parabola with a focus at (5, 0) and a directrix at x = -5 is (x - 5)^2 = 20y.
Explanation:The standard form of the equation of a parabola with a focus at (h, k) and a directrix at x = d is given by (x - h)^2 = 4p(y - k), where p is the distance between the vertex and the focus or directrix.
In this case, the focus is at (5, 0) and the directrix is at x = -5. Since the directrix is a vertical line, the parabola opens to the right. The distance between the vertex and the focus or directrix is given by p = |5 - (-5)|/2 = 5 units.
Substituting the values into the standard form equation gives (x - 5)^2 = 4(5)(y - 0), which simplifies to (x - 5)^2 = 20(y - 0). Therefore, the standard form of the equation of the parabola is (x - 5)^2 = 20y.
Learn more about Equation of a parabola here:https://brainly.com/question/11911877
#SPJ12
ILL GIVE BRAINLIEST PLS HELP ASAP
What are the 3 methods for solving systems of equations? And which is the most difficult in ur opinion?
The three methods are graphing, substitution and elimination.
In my opinion they are all easy but if I had to choose one it would be graphing because when I did homework assignments for this I always took the longest graphing than just solving the systems using substitution or elimination
Please help me urgent IM REALLY DESPARATE lolol
Answer:
- [tex]\frac{2}{729}[/tex]
Step-by-step explanation:
The n th term of a geometric sequence is
[tex]a_{n}[/tex] = a₁ [tex](r)^{n-1}[/tex]
Given a₁ = 6 and r = - [tex]\frac{1}{3}[/tex], then
[tex]a_{8}[/tex] = 6 × [tex](-1/3)^{7}[/tex] = 6 × - [tex]\frac{1}{3^{7} }[/tex] = 6 × - [tex]\frac{1}{2187}[/tex] = - [tex]\frac{2}{729}[/tex]