Answer:
$142500
Step-by-step explanation:
We are given that the resident of a certain University receives a salary that is three times the salary of one of the department heads.
Assuming [tex]x[/tex] to be the salary of the department head, if the total of the two salaries is $190000, we are to find the salary of the president of the University.
We can write an equation in terms of [tex]x[/tex]:
[tex]3x+x=190000[/tex]
[tex]4x=190000[/tex]
[tex]x=47500[/tex]
Salary of the president of the University = [tex]3(47500)[/tex] = $142500
find the exact circumference of a circle with the given radius 3 and 1/2 cm
Answer:
Step-by-step explanation:
Radius is half diameter so you have to multiply the radius by 2 to find diameter.
3 1/2 * 2 = 7
Answer:
7π
Step-by-step explanation:
The circumference (C) of a circle is
C = 2πr = 2π × [tex]\frac{7}{2}[/tex] = [tex]\frac{14\pi }{2}[/tex] = 7π
X represents the # of trees. Y represents the height. How many 150
Answers
105
50
30
80
Answer: 30
Step-by-step explanation:
Bradley dropped a ball from a roof 16feet high. Each time the ball hits the ground it bounces 3/5 the previous height. Find the height ball will bounce after hitting the ground the fourth time
Answer: 2.0736 ft
Step-by-step explanation:
Bounce 1: 16*3/5=9.6
Bounce 2: 9.6*3/5=5.76
Bounce 3: 5.76*3/5=3.456
Bounce 4: 3.456*3/5=2.0736
Answer:
The ball will bounce to 2.07 feet after 4th drop.
Step-by-step explanation:
Bradley dropped a ball from a roof 16 feet high. So, its the initial height.
Each time the ball hits the ground it bounces 3/5 the previous height.
Means after 1st drop, the ball will again rise to [tex]\frac{3}{5}\times16= 9.6[/tex] feet.
Similarly after 2nd drop, it will bounce to [tex]\frac{3}{5}\times9.6=5.76[/tex]
After 3rd drop, it will bounce to [tex]\frac{3}{5}\times5.76=3.456[/tex] feet
After 4th drop, it will bounce to [tex]\frac{3}{5}\times3.456=2.0736[/tex] feet
Hence, the ball will bounce to 2.07 feet after 4th drop.
7. length of a soccer field
is it meters or kilometers
Answer:
The answer would be Meters.
Step-by-step explanation:
The length of the soccer field is measured in Meters.
There are units to measure everything. Like length is measured in units of millimeter, centimeter, meter, kilometer etc, weight is measured in milligram, gram, kilogram, etc, height is measured in inches, feet, etc.
A soccer field is the ground on which soccer is played. This field is measured in meters. The soccer field has different dimensions. There are standard touch lines, goal lines. Touch lines and goal lines dimensions are different for international play. These lines or dimensions are measured in meters.
PLEASE HELP & SHOW WORK , ITS URGENT
it’s appreciated <3 !!
see if u understand the answer
Answer:
C
Step-by-step explanation:
The circumference (C) of a circle is calculated using
C= 2πr ← r is the radius and has to be found
Given C = 20π , then
2πr = 20π ( divide both sides by 2π )
r = [tex]\frac{20\pi }{2\pi }[/tex] = 10
The area (A) of a circle is calculated using the formula
A = πr² = π × 10² = 100π m² → C
What are the solutions for x when y is equal to 0 in the following quadratic
function?
y = x² + 10x – 24
OA) X= -4 or x = -6
OB) x = -6 or x = 4
OC) x = -2 or x = 12
OD) x = -12 or x = 2
O E) no real solutions
Answer:
D) x = -12 or x = 2
Step-by-step explanation:
The given quadratic equation is:
[tex]y=x^2+10x-24[/tex]
When y=0, we obtain:
[tex]x^2+10x-24=0[/tex]
We split the middle term with -2, 12 because their product is is -24 and their sum is 10.
[tex]x^2-2x+12x-24=0[/tex]
We factor by grouping to obtain:
[tex]x(x-2)+12(x-2)=0[/tex]
[tex](x-2)(x+12)=0[/tex]
Either [tex](x-2)=0[/tex] or [tex](x+12)=0[/tex]
Either [tex]x=2[/tex] or [tex]x=-12[/tex]
The following set of coordinates represent which figure?(7,10) (4,7) (6,5) (9,8)
Answer: i think a diamond
Step-by-step explanation:
Let's assume these are the vertices in order and calculated the squared lengths of the sides. Let's calculate the vector for each side, which is the difference of the endpoints:
(7,10) - (4,7) = (3, 3)
(4,7) - (6,5) =(-2, 2)
(6,5) - (9,8) = (-3, -3)
(9,8) - (7,10) = (2, -2)
We see the pattern: (3,3) = -(-3,-3) and (-2,2) = -(2,-2)
We have two pairs of opposite vectors so we have a parallelogram.
Let's check the dot product of adjacent sides:
(3,3) . (-2, 2) = 3(-2) + 3(2) = 0
Zero dot product, we have perpendicularity. A parallelogram with one right angle is a
Answer: Rectangle
The adjacent sides are clearly not congruent so it's not a square
.
Use the properties of exponents to solve for the each variable.
a=8+2=10; b=4•5=20; c=6-2=4
Answer:
a=10
b=20
c=4
Step-by-step explanation:
Which statements are true? Check all that apply.
The circumscribed angle L has a measure of 49°.
The circumscribed angle L has a measure of 65.5°.
If the measure of arc HJ is 98°, the measure of angle HMJ is 98°.
If the measure of arc HJ is 98°, the measure of angle HKJ is 98°.
If the measure of arc HJ is 98°, the measure of arc HK is 131°.
The circumscribed angle L has a measure of 49°.
If the measure of arc HJ is 98°, the measure of angle HMJ is 98°.
If the measure of arc HJ is 98°, the measure of arc HK is 131°.
Answer:
True, 1, 3, 5
Step-by-step explanation:
1. Angle L is sircumsribed angle, thenMJ⊥JL and MK⊥KL, so the measure of the angle L is
360°-131°-90°-90°=49° (the sum of all interior angles in the quadrilateral is 360°)
True
2. False, because m∠L=49°.
3. If the measure of arc HJ is 98°, then the measure of the central angle HMJ is 98°.
True
4. If the measure of arc HJ is 98°, then the measure of the central angle HMJ is 98° and the meausre of inscribed angle HKJ subtended on the arc HJ is half of the central angle measure and is equal to 49°.
False
5. If the measure of arc HJ is 98°, then the measure of the arc HK is
360°-131°-98°=131°
True
PLEASE HELP!!
If the circle graph below represents the responses from 350 people, how many people chose silver as their favorite car color?
Black-25%
White-10%
Silver-10%
Yellow-5%
Red-50%
350
10
35
100
For this you have to make two proportions that are [tex]\frac{part}{whole}[/tex] and set them equal to each other.
The first proportion represents the percent of people who like silver as their favorite car color
Since this is a circle graph the whole will always be 100 because percents are always taken out of 100
The part would be 10 because only 10% out of the 100% like silver
The second proportion is the people that represent the response.
350 would be the whole because that is the total amount of people surveyed
The part is unknown and what you are solving for.
Here is how the proportion should look like:
[tex]\frac{10}{100} = \frac{x}{350}[/tex]
Cross multiply (If you don't know what this is look at the image below to see my work)
The cross multiplication will give you:
3500 = 100x
Isolate x by dividing 100 to both sides
3500/100 = 100x/100
35 = x
This means that 35 people out of the 350 surveyed like silver cars
Hope this helped!
Answer:
If the circle graph below represents the responses from 350 people, how many people chose silver as their favorite car color?
100
35
10
350
Step-by-step explanation:
D. is right plz put me Brainliest plz
Jessica is going to a vegetable shop. She buys some lady fingers for $23, some potatoes for $30,
and a bag of tomatoes for $16. Now she has $20 left. How much money did she have to begin
with?
Answer:
$89
Step-by-step explanation:
add all the numbers together
How much of Brand A fruit punch (40% fruit
juice) must be mixed with 3 gal. of grape juice
to create a mixture containing 58% fruit juice?
Answer: 98?
Step-by-step explanation:
Which set of the side lenths form a right triangle?
Answer:
15m, 20m, 25mStep-by-step explanation:
If for x ≤ y < z
x² + y² = z²
then x, y and z form a right triangle.
1 .
15m, 20m, 25m
15² + 20² = 225 + 400 = 625
25² = 625
CORRECT :)
2.
3ft, 6ft, 5ft
3² + 5² = 9 + 25 = 34
6² = 36
34 ≠ 36
3.
10in, 41in, 40in
10² + 40² = 100 + 1600 = 1700
41² = 1681
1700 ≠ 1681
4.
7cm, 8cm, 10cm
7² + 8² = 49 + 64 = 113
10² = 100
113 ≠ 100
A jacket was $50 and is now on sale for $35. What is the percent change in the cost?
from 50 to 35 is 15, so it went down by $15.
if we take 50 to be the 100%, what is 15 off of it in percentage?
[tex]\bf \begin{array}{ccll} amount&\%\\ \cline{1-2} 50&100\\ 15&x \end{array}\implies \cfrac{50}{15}=\cfrac{100}{x}\implies \cfrac{10}{3}=\cfrac{100}{x}\implies 10x=300 \\\\\\ x=\cfrac{300}{10}\implies x=30[/tex]
Answer:
-30%
Step-by-step explanation:
The decrease in price was $15.
Divide $15 by $50, obtaining 0.30, which in turn is mult. by 100%.
The percentage change, from $50 to $35, was -30%.
Which function is increasing?
A. f(x) =(1/4) ^x
B. f(x) =(1/4) ^x
C. f(x) = 4^x
D. f(x) = (0.4)^x
Answer:
f(x) = 4^x
Step-by-step explanation:
In f(x) = (1/4)^x, 1/4 is equal to 0.25, which is less than 1, so its decreasing
In f(x) = 4^x, 4 is greater than 1, so its increasing
In f(x) = (0.4)^x, 0.4 is less than 1, so its decreasing
This is why f(x) = 4^x is the correct answer
I hope this helps!
Find the area of the parallelogram. Please need help very badly.
Answer:
A = bh
A = 15(8)
A = 120 square centimeters
the vector u is graphed. which of the vectors below would be orthogonal to vector u?
ANSWER
[tex]< \frac{1}{5} , - \frac{1}{3} \: >[/tex]
EXPLANATION
The given vector , u has the following components,
[tex]u = < \: - 5 , - 3 \: > [/tex]
If two vectors are orthogonal, then their dot product is zero.
[tex]< \: - 5 , - 3 \: > \bullet < \: \frac{1}{5} , - \frac{1}{3} \: > = - 5 \times \frac{1}{5} \times - 3 \times - \frac{1}{3} = - 1 + 1 = 0[/tex]
Hence,the vector
[tex] < \frac{1}{5} , - \frac{1}{3} \: >[/tex]
is orthogonal to vector u.
The definition of a circle uses what undefined term
Answer:
The definition of a circle uses the undefined term is plane then the undefined term can contain parallel lines is plane and. The definition of an angle uses the undefined term is point likewise there are 3 possible geometry will fall.
Hope I helped
Step-by-step explanation:
2. Find the area and circumference of the circle to the right.
16.6 m
Answer:
AREA:
[tex]A=216.42m^2[/tex]
CIRCUMFERENCE:
[tex]C=52.15m[/tex]
Step-by-step explanation:
The formula that is used to calculate the area of a circle is:
[tex]A=\pi r^2[/tex]
Where "r" is the radius of the circle.
The formula for calculate the circumference of a circle is:
[tex]C=2\pi r[/tex]
Where "r" is the radius of the circle.
Then, you need to find the radius. This is:
[tex]r=\frac{16.6m}{2}=8.3m[/tex]
Substituting the radius, you get that the area and the circumference are:
AREA:
[tex]A=\pi (8.3m)^2=216.42m^2[/tex]
CIRCUMFERENCE:
[tex]C=2\pi (8.3m)=52.15m[/tex]
Answer with step-by-step explanation:
We are given a circle which is divided into two halves and has a diameter of 16.6 meter. We are to find the area and circumference of the circle to the right.
It means that our radius will be the half of the given diameter.
Radius = 16.6/2 = 8.3 m
Area = [tex]\pi r^2[/tex] = [tex]\frac{\pi \times (8.3)^2}{2}[/tex] = 216.4 m^2
Circumference = [tex]2 \pi r[/tex] = [tex]2 \times \pi \times 8.3[/tex] = 52.2 m
graph the line y=-3x
Answer:
Step-by-step explanation:
Graph y = -3x. Start at the origin (0, 0). Place a dark dot there. Now, starting with your pencil point on that dot, move 1 space to the right and from this new point move 3 spaces down. Place a dark dot at this new point.
Now draw a straight line through both dark dots. This is the desired graph.
Step-by-step explanation: Let's graph the equation y = -3x using its slope and y-intercept. The problem here is that our equation doesn't match up quite so well with the formula y = mx + b
Our slope or m which is represented by the coefficient of the x-term is clearly -3. However, you might be asking what is our y-intercept or b. Well, y = -3x can be thought of as y = -3x + 0. So you can now see that our b or y-intercept equals 0.
To graph the line, we start with the y-intercept. So our first point is a 0 on the y-axis and we call that point A. When the slope is a integer, you can change it to a fraction by putting it over 1. So our slope of -3 can be thought of as -3/1.
From point A, we would go down 3 units and over 1 unit to plot point B. Now we can connect points A and B like I did in the picture and we have our line.
Find the slope of the line whose equation is 2x - 3y + 6 = 0.
2/3
-2/3
-2
The slope would be the first one, 2/3. Hope this helps! Please mark brainliest! :) Thanks v much! :)
Answer:
2/3
Step-by-step explanation:
I need to find the volume of a nose cone.
The cylinder has a height of 6ft and a diameter of 8ft. the formula for volume is πrrh
The cone has the same dimensions. the formula is πrrh÷2.
well then, the volume of the nose cone will just be the sum of the volume of the cylinder below and the cone above.
since the diameter for both is 8, then their radius is half that, or 4.
[tex]\bf \stackrel{\textit{volume of a cone}}{V=\cfrac{\pi r^2 h}{3}}~~ \begin{cases} r=radius\\ h=height\\ \cline{1-1} r=4\\ h=6 \end{cases}\implies V=\cfrac{\pi (4)^2(6)}{3}\implies V=32\pi \\\\\\ \stackrel{\textit{volume of a cylinder}}{V=\pi r^2 h}~~ \begin{cases} r=radius\\ h=height\\ \cline{1-1} r=4\\ h=6 \end{cases}\implies V=\pi (4)^2(6)\implies V=96\pi \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{volume of the nose cone}}{32\pi +96\pi \implies 128\pi }\qquad \approx \qquad 402.12[/tex]
Find the range of y = 3cos4x - 2.
-5 ≤ y ≤ 5
-5 ≤ y ≤ 1
-3 ≤ y ≤ 3
1 ≤ y ≤ 3
ANSWER
[tex]- 5\leqslant y \leqslant 1[/tex]
EXPLANATION
The given cosine function is:
[tex]y = 3 \cos4x - 2[/tex]
The amplitude of this function is:
3
This means the parent function has range:
[tex] - 3 \leqslant y \leqslant 3[/tex]
The given function has been shifted down by 2 units.
So we add -2 to the peak values to get
[tex] - 2 + - 3 \leqslant y \leqslant 3 + - 2[/tex]
The given function has range:
[tex]- 5\leqslant y \leqslant 1[/tex]
Answer:
-5 ≤ y ≤ 1
Step-by-step explanation:
correct
(Very easy) Find the surface area of this figure
The surface area of the two triangles is 12 cm^2.
3*4=12
The surface area of the bottom rectangle is 8 cm^2.
4*2=8
The surface area of the rectangle that is on the left side of the figure is 6 cm^2.
3*2=6
The surface area of the rectangle that is on the top side of the figure is 10 cm^2.
To find the third side of the triangle, use the Pythagorean theorem.
3^2+4^2=h^2
9+16=25
The third side of the triangle is 5 cm.
The surface area of the whole figure is 36 cm^2.
12+8+6+10=36
evaluate this for me:
Answer:
0 or the third option down
Step-by-step explanation:
square root of 36-4(1)(9)
square root of 36-36
square root of 0
0
ANSWER
0
EXPLANATION
The given expression is:
[tex] \sqrt{ {b}^{2} - 4ac} [/tex]
We want to find the value of this expression when, a=1, b=-6 and c=9.
We substitute the given values into the expression to obtain:
[tex] \sqrt{ { (- 6)}^{2} - 4(1)(9)} [/tex]
We evaluate to obtain:
[tex] \sqrt{ 36- 36} [/tex]
This simplifies to
[tex] \sqrt{ 0} = 0[/tex]
The correct answer is the 3rd option.
Write an equation for each translation of .
5.5 units right
y = | x | – 5.5
y = | x + 5.5 |
y = | x | + 5.5
y = | x – 5.5 |
Answer:
C is the answer i did this before!
Step-by-step explanation:
A pair of sneakers cost $75. This is $15 less than the cost of a pair of jeans. Write an equation that someone could use to find the amount of money that the jeans cost.
15+75=J.
So the jeans should be $90
Answer-
add 15 from 75 then that is it
75+15=90
My paychecks gross pay came to 663.87 for the week. If 20% is taken out for taxes how much is my net pay
Answer:
Final Price: 531.10
Discount: 132.77
Step-by-step explanation:
663.87 is 100%
? is 20%
?=20•663.87/100~$132.77 taxes
Net pay= 663.87-132.77=$531.1
write 8.54 x 10 to the 3rd power in standard notation
Answer:
= 8.54 × 101
(scientific notation)
= 8.54e1
(scientific e notation)
= 85.4 × 100
(engineering notation)
(one)
= 85.4
(real number)
WILL MARK BRAINLIEST!
If the circle graph represents the responses from 500 people, how many more people prefer burgers than cheeseburgers?
subs-10%
Tacos-10%
Chicken-10%
Pizza-30%
burger-25%
Cheeseburgers-15%
125
75
50
25
Answer:
50
Step-by-step explanation:
[tex]500 \div 100 \times 25 = 125[/tex]
[tex]500 \div 100 \times 15 = 75[/tex]
[tex]125 - 75 = 50[/tex]
50. From 500 people, 25% that prefer burger represent 125 people and 15% that prefer cheeseburger represent 75. This mean there are 50 more people that prefer burgers than cheeseburgers.
The key to solve this problem is by direct rule of three, we will place the 3 values (which we will call “a”, “b”, and “c”) and the unknown value that we want to figure out (“x”) to apply the formula:
a -----------> b
c -----------> x
[tex]x=\frac{b.c}{a}[/tex]
The circle graph represents the responses from 500 people in percentage.
To calculate the amount of people that prefer burgers:
If 100% ----------------> 500 people
25% ----------------> x
[tex]x=\frac{(500)(25)}{100}= 125[/tex] which means 125 people prefer burgers
To calculate the amount of people that prefer cheeseburgers:
If 100% ----------------> 500 people
15% ----------------> x
[tex]x=\frac{(500)(15)}{100}= 75[/tex] which means 75 people prefer cheeseburgers.
In order to know how many more people prefer burgers than cheeseburgers, let's apply the difference between people who prefer burgers and people who prefer cheeseburgers:
125 - 75 = 50 which mean 50 more people prefer burgers than cheeseburgers.