Answer:
it's 10 and 5/8
Step-by-step explanation:
I hope this has helped you
The solution of expression \(17 \times \dfrac{5}{8}\) in the form of mixed number would be \(10 \dfrac{5}{8}\).
Used the concept of multiplication that states,
To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.
Given that the expression to solve,
\(17 \times \dfrac{5}{8}\)
Now multiply separately with the numbers given,
\(17 \times \dfrac{5}{8}\)
\(\dfrac{85}{8}\)
It can be written as,
\(10 \dfrac{5}{8}\)
Therefore, the mixed form of solution is \(10 \dfrac{5}{8}\).
To learn more about multiplication visit:
https://brainly.com/question/10873737
#SPJ6
susie spent $78 in 3 hours. How much did Susie spend per hour?
Answer:
$26
Step-by-step explanation:
78 divided by 3
WILL GIVE BRAINLIEST TO CORRECT ANSWER!!!
This scale drawing shows a reduction in a figure.
What is the value of x?
Enter your answer as a decimal in the box.
X =
The value of x for the second triangle if it is the reduction of the first drawing is 6.3 feet.
Given two triangles.
Also given that, the scale drawings given are the reduction of the figure.
Most probably, the second triangle must be formed after a reduction with a scale factor of k.
Let k be the required scale factor.
The value of k can be found by taking the ratio of the corresponding sides.
k = 5.2 / 10.4
= 0.5
So all the corresponding sides will be half of the first triangle.
x = 0.5 × 12.6
= 6.3 feet
Hence the value of x is 6.3 feet.
Learn more about Scale Factors here :
https://brainly.com/question/29464385
#SPJ1
From the top of a building 30 meters high, the angle of elevation to the top of a monument is found to be equal to the angle of depression to the foot of the monument. Find the height of the monument.
The height of the monument is 30 meters.
We have,
Let's assume the height of the monument is "h" meters.
From the top of the building, the angle of elevation to the top of the monument is equal to the angle of depression to the foot of the monument. This forms a right triangle with the building, the monument, and the ground.
In this triangle, the opposite side of the angle of elevation is the height of the building, which is given as 30 meters.
The opposite side of the angle of depression is the height of the monument, which is "h" meters.
Since the angles of elevation and depression are equal, the triangle is an isosceles triangle.
Therefore, the opposite sides are equal in length.
By setting up the equation:
h = 30
Thus,
The height of the monument is 30 meters.
Learn more about triangles here:
https://brainly.com/question/25950519
#SPJ1
The remainder is what’s left when you divide. The part you cannot divide.
You can divide 75 by 3 = 25, so the remainder is 1.
The correct dividend of 76 is required to yeild a quotient of 25 and a remainder of 1 when divided by 3.
Division FormulaWe can know the dividend, the quotient and the remainder of the division using the division formula: (Divisor x Quotient) + Remainder = Dividend
Divisor = 3
Quotient = 25
Remainder = 1
(3 × 25) + 1 = 75 + 1
(3 × 25) + 1 = 76
Thus, the dividend 76 divided by the divisor 3 have the quotient 25 and a remainder when of 1.
Know more about division here: https://brainly.com/question/1622425
#SPJ1
PLEASE ANSWER ASAP WILL MARK BRAINLIEST!!!
\(Answer: y =\dfrac{1}{2}(x +2)^{2}+\)Answer:
Step-by-step explanation:
Vertex form of quadratic function: y =a(x -h)² + k
Where (h,k) is the vertex
vertex (-2 , 6)
y = a(x -[-2])² + 6
y = a(x + 2)² + 6
This is passing through (-4,8)
8 = a(-4 + 2)² + 6
8 = a(-2)²+ 6
8 = 4a +6
8 - 6 = 4a
4a = 2
a = 2/4
a = 1/2
\(Answer: y =\dfrac{1}{2}(x +2)^{2}+6\)
Given: sin 18° = p Without using a calculator,
Answer:
P = 0.309
Step-by-step explanation:
if ab 10 ft ac 14 ft and bc 20 ft what is rs 10 ft 14 ft 20 ft 24 ft
Answer:24ft
Step-by-step explanation:
Rewrite the product using the Distributive Property. Then simplify.
1) 2(4 + 7)
2) 3(1/3 - p)
Answer:
\(2(4 + 7) = 22\)
\(3(\frac{1}{3} - p) = 1 - 3 p\)
Step-by-step explanation:
Given
1 & 2
Required
Rewrite and simplify
\(1.\ 2(4 + 7)\)
Apply distributive property
\(2(4 + 7) = 2 * 4 + 2 * 7\)
\(2(4 + 7) = 8 + 14\)
\(2(4 + 7) = 22\)
\(2.\ 3(\frac{1}{3} - p)\)
Apply distributive property
\(3(\frac{1}{3} - p) = 3*\frac{1}{3} - 3 * p\)
\(3(\frac{1}{3} - p) = \frac{3}{3} - 3 * p\)
\(3(\frac{1}{3} - p) = 1 - 3 * p\)
\(3(\frac{1}{3} - p) = 1 - 3 p\)
11.
8. The graph below shows the price Joanna
sells tomatoes according to their weight.
Write an equation for the graph.
h
H
Tomato Prices
12
10
Price (in dollars)
12
12.
Weight
(in pounds)
a. y = -x
6
10
b. y =
12
c.
=
d. y = x
Answer:
the question is invalid. please rewrite the question.
What is 19 tens plus 13 tens
Answer:
320
Step-by-step explanation:
19(10) = 190
13(10) = 130
190 + 130 = 320
usun niewymiernosc mianownika
Answer:
translate?
Step-by-step explanation
translate it and i can help
help meee please for a lot of points it gotta be to answer choices
Answer:
B and D
Step-by-step explanation: I got it right
Describe the transformation of f(x) to g(x).
A. f(x) is shifted up 1 unit to g(x).
B. f(x) is shifted down pi/2 units to g(x).
C.f(x)is shifted up pi/2 units to g(x).
D. f(x) is shifted up 2 units to g(x).
The transformation of f(x) to g(x) is (a) f(x) is shifted up 1 unit to g(x).
Describing the transformation of f(x) to g(x).From the question, we have the following parameters that can be used in our computation:
The functions f(x) and g(x)
In the graph, we can see that
The graph of g(x) passes through y = 1The graph of f(x) passes through y = 0So, we have
Difference = 1 - 0
Evaluate
Difference = 1
This means that the transformation of f(x) to g(x) is (a) f(x) is shifted up 1 unit to g(x).
Read more about transformation at
https://brainly.com/question/27224272
#SPJ1
A car require fuel and a gas meter for all the living room for a reaction from a few people who is being a 4th floor cleaner and the only one 1⃣ to be in is a good place by a good one is choking and I am looking to move to London for a reaction from a friend who has been a bit busy at the moment but we are having trouble getting it to be a little more info and the information I need molesof to get in the war and to the police in order for \(D\)
To travel 120 km, we need 0.6 litres of petrol based on the given information that the car requires "x" litres to travel 200 km.
To determine how much petrol is needed to travel 120 km, we need to use the given information that a car requires a certain amount of petrol to travel 200 km.
Let's assume that the car requires "x" litres of petrol to travel 200 km.
To find out how much petrol is needed to travel 120 km, we can set up a proportion:
x litres / 200 km = Petrol needed / 120 km
We can cross-multiply to solve for Petrol needed:
Petrol needed = (x litres / 200 km) * 120 km
The km units cancel out, leaving us with:
Petrol needed = (x litres / 200) * 120
Simplifying further:
Petrol needed = (120x) / 200
Petrol needed = 6x / 10
Now, we have an equation to calculate the petrol needed for any given value of "x" litres for 200 km.
To find the petrol needed to travel 120 km, we substitute x = 1 (since we assumed "x" litres for 200 km):
Petrol needed = (6 * 1) / 10
Petrol needed = 6/10
Petrol needed = 0.6 litres
Therefore, to travel 120 km, we need 0.6 litres of petrol based on the given information that the car requires "x" litres to travel 200 km.
for more such question on travel visit
https://brainly.com/question/28716207
#SPJ8
The probability that a high school senior wins a prestigious scholarship is 0.13. The probability that a high school senior plays a varsity sport is 0.22 . If the probability that someone plays a varsity sport given that they won the scholarship is 0.55 , then what's the probability that someone wins the scholarship given that they play a varsity sport?
Answer:
0.325
Step-by-step explanation:
Let A represent the event: winning a prestigious scholarship
Let B represent the event: plays a varsity sport
Given
P(A) = 0.13P(B) = 0.22P(plays a varsity sport given that they won the scholarship)Therefore the probability that someone wins the scholarship given that they play a varsity sport is 0.325
Name an acute angle and give its measure.
Angle: ______ Measure: _____
Name an obtuse angle and give its measure. (2 points)
Angle: _____ Measure: _____
Name one right angle. (1 point
Name one straight angle. (1 point)
11. Angle KEF = 40°, Angle KEJ = 50°
12. Angle HEF = 115°, Angle KED = 140°
13. Angle JEF = 90°, Angle KEF = 90°
14. Angle DEF = 180°
Define the term geometry?The study of points, lines, and shapes in two and three dimensions, as well as their properties and relationships, is the focus of the mathematical discipline known as geometry.
11. Acute angles: Those angles are less than 90 degree angles.
Angle KEF = 40°
Angle KEJ = 50°
Angle KEH = 75°
Angle JEH = 25°
Angle HED = 65°
12. Obtuse angles: Those angles are more than 90 degree angles.
Angle HEF = 115°
Angle KED = 140°
13. Right angle: Those angles are 90 degree angle.
Angle JEF = 90°
Angle KEF = 90°
14. Straight angle: Those angles make 180 degree angle.
Angle DEF = 180°
To know more about geometry, visit:
https://brainly.com/question/247911
#SPJ1
What is the equation of the directrix?
The equation of the directrix is y = -5
How to determine the directrix equation?The equation is given as:
(x -1)^2 = 12(y + 2)
Express 12 as a product of 4 and 3
(x -1)^2 = 4 * 3(y + 2)
The parabola is represented as:
(x -h)^2 = 4p(y - k)
Where the directrix is
y = k - p
By comparison, we have:
k = -2 and p = 3
So, we have:
y = -2 - 3
Evaluate
y = -5
Hence, the equation of the directrix is y = -5
Read more about directrix at:
https://brainly.com/question/2131669
#SPJ1
Which is an equation of a direct proportion?A. \(y = 8 \times \)\(y = \frac{1}{2}x + 4\)\(y = \frac{12}{x} \)\(y = 4x - 4\)
The general form of a equation with direct proportion is:
\(y=kx\)k is a constant
Because y increase when x increase, and y decrease when x decrease.
Then, of the given options the direct proportion is:
\(y=8x\)Please Solve (c-3)^2=100
Answer:
BODMAS RULE
(c-3)²=100
c²-6c+9=100
c²-6c=100-9
c²-6c=91
c²-6c-91=0
then factories
HELP ASAP
45 POINTS
which equation represents a function?
A. x=13
B. x-12=34
C. 2y= -12
D. 2x-4x = 7
E. x/2=15
Answer:
it is e bro
Step-by-step explanation:
Answer:
it's E
Step-by-step explanation:
Hope the helps :) <3
Find the Taylor Polynomial 3P x (up to3
x ) for( ) x
f x e , centered at0x ?
We have to find the Taylor Polynomial of $f(x)=e^x$ up to the third degree, centered at $x=0$.
The Taylor Polynomial is given by:
(x)=∑
k=0
n
k!
f
(k)
(a)
(x−a)
k
where $f^{(k)}(a)$ is the $k$th derivative of $f(x)$ evaluated at $a$.
Using this formula, we can find the Taylor Polynomial as follows:
\begin{align*}
f(x) &= e^x \
f'(x) &= e^x \
f''(x) &= e^x \
f'''(x) &= e^x \
\end{align*}
Evaluating each derivative at $x=0$, we get:
\begin{align*}
f(0) &= e^0 = 1 \
f'(0) &= e^0 = 1 \
f''(0) &= e^0 = 1 \
f'''(0) &= e^0 = 1 \
\end{align*}
Substituting these values into the formula for the Taylor Polynomial, we get:
\begin{align*}
P_3(x) &= \frac{f(0)}{0!}(x-0)^0 + \frac{f'(0)}{1!}(x-0)^1 + \frac{f''(0)}{2!}(x-0)^2 + \frac{f'''(0)}{3!}(x-0)^3 \
&= 1 + x + \frac{x^2}{2} + \frac{x^3}{6}
\end{align*}
Therefore, the Taylor Polynomial of $f(x)=e^x$ up to the third degree, centered at $x=0$, is $P_3(x) = 1 + x + \frac{x^2}{2} + \frac{x^3}{6}$.
Please help i have been trying to figure this out for like an hour
Answer:
B
Step-by-step explanation:
Since x varies directly as y, the ratio of x to y remains the same. Let the value of x when y=4 be a. Then we have
\(\dfrac {7 \frac12} {10} = \dfrac a4\)
We can cross multiply to get that
\(10a = 30, \text{so } \boxed{a=3}\)
Trace is buying notebooks. Each notebook is $2 off the original price. He buys 8 notebooks for $28. What is the original price of a notebook?
The original price of each notebook is $5.5
How to calculate the original price of each notebook ?
Trace is purchasing some notebooks
Each notebook is $2 off the original price
He buys 8 notebooks for $28
The first step is to calculate the price of one notebook
8= 28
1= x
Cross multiply both sides
8x= 28
x= 28/8
x= 3.5
1 notebook is $3.5
$2 was removed from the initial price. Therefore the original price is
2 + 3.5
= 5.5
Hence the original price of the notebook is $5.5
Read more on original price here
https://brainly.com/question/21284703
#SPJ1
For the following figure, complete the statement for the specified points.
Points A, S, and R are
collinear
coplanar
neither collinear nor coplanar
both collinear and coplanar
Answer:
both collinear and coplanar
Answer:
both
Step-by-step explanation:
What was the vertical distance, d, of his jump, rounded to the nearest tenth?
The vertical distance of the jump is 4.8 feet.
What was the vertical distance, d, of his jump, rounded to the nearest tenth?We know that the equation that relates the vertical distance of the jump and the time is:
t = √d/2
In this case, we know that the time is t = 1.09 seconds, replacing that in the equation we get:
1.09 = √d/2
Now we can solve that equation for d.
1.09*2 = √d
Now we apply an exponent of 2 in both sides to remove the square root:
2.18^2 = d = 4.8 ft
The vertical distance of the jump is 4.8 feet.
If you want to learn more about square roots:
https://brainly.com/question/98314
#SPJ1
Suppose that the same thing I did sent you to see if
Given
The point (11/61, -60/61) is at the unit circle.
To find the value of
\(\sin\theta,csc\theta,cot\theta\)Explanation:
It is given that,
The given circle is a unit circle.
That implies, the radius of the circle is 1.
Then,
\(1=\sqrt{(\frac{11}{61})^2+(-\frac{60}{61})^2}\)That implies,
\(\begin{gathered} \cos\theta=\frac{11}{61} \\ \sin\theta=-\frac{60}{61} \\ \lbrack\because r=1] \end{gathered}\)Therefore,
\(\begin{gathered} csc\theta=\frac{1}{(\frac{-60}{61})} \\ =-\frac{60}{61} \\ cot\theta=\frac{\cos\theta}{\sin\theta} \\ =\frac{\frac{11}{61}}{\frac{-60}{61}} \\ =-\frac{11}{60} \end{gathered}\)Hence, the answer is,
\(\begin{gathered} \sin\theta=-\frac{60}{61} \\ csc\theta=-\frac{61}{60} \\ cot\theta=-\frac{11}{60} \end{gathered}\)What does the y-intercept of the line tell you about the situation?
Please answer this quickly it’s due in 10min
The y-intercept of the linear function means that her initial distance from the finish line is of 10 kilometers.
How to define a linear function?The slope-intercept equation for a linear function is presented as follows:
y = mx + b
In which:
m is the slope.b is the y-intercept.The graph crosses the y-axis at y = 10, hence the intercept b is given as follows:
b = 10.
The y-values represent the distance in the context of this problem, hence the initial distance is of 10 km.
More can be learned about linear functions at https://brainly.com/question/15602982
#SPJ1
Solve for x.
3(-2x - 1) = 2(x + 5)
Answer:
x= − 8 /13 = −1 8 /5 = −1.625
Step-by-step explanation:
either one is the answer
<3 Enjoy,
Dea
Answer:
x=-1.625 Decimal form
x= -13/8 Fraction form
Step-by-step explanation:
3(-2x-1)=2(x+5)
Use distributive property to solve-
-6x-3=2x+10
Now add like terms
-6x-3=2x+10
+3 +3
-6x=2x+13 (get the x by itself)
-2x -2x
-8x=13 Divide
x= -1.625 Decimal form
x=-13/8 Fraction form
Suppose there is a 1.7 drop in temperature for every thousand feet that an airplane climbs into the sky. If the temperature on the ground is 45.1 what will be the temperature when the plane reaches an altitude of 4000
Answer: 38.3
Step-by-step explanation:
1.7 × 4 = 6.8
45.1 - 6.8 = 38.3
explain how to draw a line segments that measures 2 7/16 inches
if a picture please type the words for me
9514 1404 393
Answer:
draw the line using a ruler on which you have identified points 2 7/16 inches apart
Step-by-step explanation:
On your ruler graduated in inches with marks at 1/16-inch intervals, locate the 0 mark and the mark 1/16 inch before the half-inch mark between 2 and 3 inches.
Draw your line along the edge of the ruler between the two marks you have identified: 0 and 2 7/16. The line will be 2 7/16 inches long.