How do I solve this?
Answer:
7
Step-by-step explanation:
first you input the -1 into all the spots where the xs are so the new equation would be f(-1)=4(-1)(-1) +5(-1)+8
then when you simplify its 4-5+8
which is equal to 7
Solve x2 − 60 = 0. If necessary, round to the nearest hundredth.
±7.75
±120
3600
There is no solution as you cannot take the square root of a negative number.
Answer:
Option A, [tex]x =[/tex] ± [tex]7.75[/tex]
Step-by-step explanation:
Step 1: Add 60 to both sides
[tex]x^2 - 60 = 0[/tex]
[tex]x^2 - 60 + 60 = 0 + 60[/tex]
[tex]x^2 = 60[/tex]
Step 2: Square root both sides
[tex]\sqrt{x^2} = \sqrt{60}[/tex]
[tex]x =[/tex] ± [tex]7.75[/tex]
Answer: Option A, [tex]x =[/tex] ± [tex]7.75[/tex]
6. What is the minimum vertical distance between the parabolas [tex] y=x^{2}+1 \text { and } y=x-x^{2} ? [/tex]
Answer:
0.75.
Step-by-step explanation:
1) the required vertical distance is the distance between two vertexes.
2) according to the item 1, the coordinates of the vertexes are:
(y=x²+1): x₀=0; y₀=1;
(y=x-x²): x₀=0.5; y₀=0.25;
3) according to the item 2, the distance between 1 and 0.25 is 0.75.
Find the edge length s of the cube.
Volume = 216 in.3
The edge length is
inches.
Answer:
The length for the edge should be 6.
Step-by-step explanation:
Hope this helps
what is the area of the figure
Answer:
112.5ft^2
Step-by-step explanation:
10 x 9 = 90
9 × 5 × .5 = 22.5
90 + 22.5 = 112.5
On friday there were x students at a baseball game. On monday there were half as many students than on friday on Wednesday, there were 32 fewer students at the game as there were on friday which expression could represent the total number of tickets sold for all 3 games
Answer:
1.5x - 32
Step-by-step explanation:
friday = x
0.5x = monday
and
x-32 = friday
in total
1.5x-32
9.
Modeling Real Life Owls see an
object with both eyes at the same
time using binocular vision. What angle
measure describes the owl's binocular
vision? Explain.
binocular
vision
left
right
monocular,
monocular '
vision
vision
110°
The field of view for an owl is about 110 degrees, with about 70 degrees being binocular vision. By comparison, humans have a field of view that covers 180 degrees, with 140 degrees being binocular. A woodcock has an amazing 360 degree field of view, because its eyes are on the side of its head.
Suppose your salary in 2013 is $75,000. If the annual inflation is 6%, what salary do you need to make in 2022 in order for it to keep up with inflation? Round your answer to the nearest cent, if necessary
Answer:
79500.00
Step-by-step explanation:
75000(1 + .06) = 79500
what is 25.333333333 as a mixed number?
A rectangular shelf has an area of 288 square inches. Its perimeter is 72 inches. What are the dimensions of the shelf?
I need help with this
Answer:
perimeter=4×length
so 72= 4l
divide through by 4
length=18
Answer:
24 inches x 12 inchesStep-by-step explanation:
Perimeter
2l + 2w = 72l + w = 36Area
lw = 288From the perimeter
Reaarrange the equation of the perimeter so that it equates to one of the variablesl = 36 - wSubstituting in the area formula
(36 - w)(w) = 28836w - w² = 288w² - 36w + 288 = 0w² - 24w - 12w + 288 = 0w(w - 24) - 12(w - 24) = 0(w - 12)(w - 24) = 0w = 24, 12The greater value of the two will be the length, and lesser value will be the width.
Dimensions are : 24 inches x 12 inches
Your car was worth $50,000 when you bought it. It depreciates in value by 1.6% continuously. How much is your car worth in 5 years? ( round to the nearest cent (2 decimal places) )
Answer:
[tex]5 {6y6494y5y5yx \sqrt[454x54 {149 { \\ \\ }^{ \\ } }^{2} ]{?} }^{?} [/tex]
Cheryl and her sister Diane walk to school along the same route. Cheryl walks at an average of
80 steps per min while Diane walks at an average of 90 steps per min. Cheryl takes steps
of 81 cm each. She takes 12 min to walk to school.
a) What is the distance between their house and the school (Give your answer in metres) ?
metres
b) If each of Diane's steps in 72 cm, how long does Diane take to walk to school?
minutes
c) If Diane takes 16 min to walk to school, how long is each of her steps?
The distance between their house and the school from the information given will be 777.60 meters.
How to calculate the distance?The distance between their house and the school will be:
= 80 × 81 × 12
= 77760cm
= 777.60 meters.
When Diane takes 16 min to walk to school, the length of her steps will be:
= 77760/(16 × 90)
= 54 cm
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Anthony is calculating how high a ball is thrown. He has determined the function h(t) = -16t² + 20t + 4 to
represent the height of the ball in feet over t seconds. He wants his final answer to be in inches. He knows that the
function N(f) = 12f will convert f feet into inches. Compose the functions so that he has one equation to determine
the number of inches high the ball will be over t seconds.
Answer:
N(t) = -192t² +240t +48
Step-by-step explanation:
The composition of functions will be created by using the height function as the argument of the units conversion function.
__
N(f) = N(h(t)) = 12(-16t² +20t +4) . . . replace f with h(t)
N(t) = -192t² +240t +48 . . . . . simplify
The total debts to total assets ratio of Ranford Co. was .29. The total of Ranford's assets was $200,000. What's the amount of total debt to the company?
A. $68,000
B. $75,000
C. $58,000
D. $65,000
Multiply assets by ratio
200,000 x 0.29 = $58,000
answer: c. $58,000
The market sells 1 dozen bagels
for $7.00. The bagel shop sells
bagels for $0.60 each. Which is
the better buy?
Answer:
market
Step-by-step explanation:
Market
1 dozen bagels = 12 bagels
⇒ Cost per bagel = $7.00 ÷ 12 = $0.58 (nearest cent)
Bagel shop
Cost per bagel = $0.60
As $0.58 < $0.60 the market is a better buy
The total number of pears and oranges in a basket is between 30 and 40 . There are 25% more apple than orange how many apples are there in a basket
The number of apples there are in the basket as described in the task content is; 20 apples.
What is the number of apples there are in the basket?Inference drawn from the task content show that;
The ratio of apples to oranges in the basket is; 5:4. making the total partitions be 9.On this note, we must identify a number divisible by 9 between 30 and 40.
The number is 36 and once divided by 9 is 4 units per partition.
On this note, the total number of apples in the basket is; 4 × 5 = 20 apples.
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Natalie makes potato cakes in a restaurant.
She mixes potato, cheese and onion so that
weight of potato:weight of cheese :weight of onion = 9: 2:1
Natalie needs to make 6000g of potato cakes.
Cheese costs £2.25 for 175 g.
Work out the cost of the cheese needed to make 6000g of potato cakes
A ratio shows us the number of times a number contains another number. The cost of cheese that is needed to make 6000g of potato cake is £12.86.
What is a Ratio?A ratio shows us the number of times a number contains another number.
Given that the ratio of the ingredients is,
weight of potato: weight of cheese: weight of onion = 9: 2:1
Let the ingredients be mixed in the quantity 9x, 2x, and 1x, for 6000g of potato cake. Therefore, the value of x can be written as,
[tex]9x+2x+1x = 6000\\\\12x = 6000\\\\x = 500[/tex]
Hence, the value of x is 500.
Thus, the amount of cheese that will be needed is 2x,
[tex]2x = 2 \times (500) = 1000g[/tex]
Given that the cost of 175g of cheese is £2.25, therefore, the cost of 1g of cheese will be,
[tex]\text{Cost of 1g cheese} = \£\dfrac{ 2.25}{175}[/tex]
Now, the cost of 1000g of cheese will be,
[tex]\text{Cost of 1000g cheese} = 1000\times \£\dfrac{ 2.25}{175} = \£12.86[/tex]
Hence, the cost of cheese that is needed to make 6000g of potato cake is £12.86.
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A rectangular block of copper metal weighs 1890 g. The dimensions
of the block are 8 cm x 5 cm x 5 cm. From this data, what is the
density of copper?
A. 9.45 g/cm3
B. 1,690 g/cm3
C. 2,090 g/cm3
D. 0.106 g/cm3
E. 10.98 g/cm3
To find the density:
⇒ must find the relationship between the density, mass, and volume
⇒ [tex]Density = \frac{mass}{volume}[/tex]
Let's examine the information given:
weight: 1890gdimensions: 8cm * 5cm* 5cmLet's first find the volume:
⇒ the volume is the dimensions multiplied together
[tex]Volume = 8cm * 5cm * 5cm = 200cm^3[/tex]
LEt's calculate the density now:
[tex]Density = \frac{1890g}{200cm^3} =9.45g/cm^3[/tex]
Answer: The density of the copper is 9.45g/cm^3 or Choice (A)
Hope that helps!
Consider the following expression
4b+2+7a
Select all of the true statements below.
Answer:
a , c and d
Step-by-step explanation:
a , c and d are correct
Which prism has an volume of 6 cubic units?( on an test pls hurry!!)
Answer:
Second option
Step-by-step explanation:
convert [tex]1\frac{1}{2}[/tex] to improper fraction:
[tex]1\frac{1}{2} =\frac{2(1)+1}{2} =\frac{3}{2}[/tex]
The second opcion:
[tex]V = (2)(2)(\frac{3}{2} )=\frac{12}{2} =6[/tex]
Hope this helps
At the local aquarium, the average weight of the whale shark, the
aquarium's largest fish, is 25 tons. The average weight of the dolphin is
330 pounds. If there is 1 whale shark and 2 dolphins in one of the fish
tanks, how much do they weigh all together in pounds?
What decimals round to 0.12 two answers?
Answer:
0.1
Step-by-step explanation:
1 is in the tenths place and 2 is in the hundredths place
Since the digit in the hundredths place (2) is less than 5, the digit in the tenths place (1) does not change
The digit in the hundredths place is dropped
0.12 rounded to the nearest tenth (one decimal place) = 0.1
Think you can figure out the area of this unique shape?
Answer:
20
Step-by-step explanation:
To find the area, separate the unique shape into 3 rectangles. Then, solve for the area of those three rectangles:
2 x 4 = 8
2 x 3 = 6
6 x 1 = 6
Then, add up all of those areas to find the total area of the unique shape:
8 + 6 + 6 = 20
The area of the unique shape is 20.
(06.01)Four graphs are shown below:
Which graph represents a negative linear association between x and y?
Graph A
Graph B
Graph C
Graph D
-1 1/4 to the power of 2
Answer:
121/16
Step-by-step explanation:
Find the value of x in the figure.
The value of the missing variable x in the diagram is; 4
How to find the side length of a similar triangle?In mathematics, two triangles are said to be similar provided that they have the same ratio of corresponding sides and equal pair of corresponding angles.
Now, from the given image, we can see that DE bisects AC into 2 equal parts and by virtue of the concept of similar triangles, we can say that;
DE/BC = 1/2
We are given;
DE = x + 1
BC = 4x - 6
Thus;
(x + 1)/(4x - 6) = 1/2
Cross multiply to get;
2x + 2 = 4x - 6
4x - 2x = 6 + 2
2x = 8
x = 4
That value of x is the missing value required in conclusion.
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I need help on my math hw
Because the sum of the internal angles must be equal to 180°, we will see that x = 43.75
How to find the value of x?
Here we need to remember that the sum of the internal angles of a triangle always gives 180°, so we can write:
(x + 10)° + (3x - 5°) + x° = 180°
Now we need to solve this linear equation for x.
4x + 5= 180
4x = 180 - 5 = 175
x = 175/4 = 43.75
The value of x is 43.75
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6 x (12-2) + 2 to the power of 2
Answer:
84x
Step-by-step explanation:
Can anyone tell me the standard form of this parabola equation?
4y^2-x-24y+30=0
And this Circle equation in standard form.
2x^2+2y^2-18x-10y+7=0
Answer:
[tex]x=4y^2-24y+30[/tex]
[tex](x-4.5)^2+(y-2.5)^2=23[/tex]
Step-by-step explanation:
Standard form of a sideways parabola: [tex]x=ay^2+by+c[/tex]
Given equation:
[tex]4y^2-x-24y+30=0[/tex]
Add x to both sides:
[tex]4y^2-24y+30=x[/tex]
[tex]\implies x=4y^2-24y+30[/tex]
--------------------------------------------------------------------------------------------
Standard form of circle equation
[tex](x-a)^2+(y-b)^2=r^2[/tex]
(where (a,b) is the center and r is the radius)
Given equation:
[tex]2x^2+2y^2-18x-10y+7=0[/tex]
Group like terms:
[tex]2x^2-18x+2y^2-10y+7=0[/tex]
Divide by 2:
[tex]x^2-9x+y^2-5y+3.5=0[/tex]
Factor by completing the square for each variable:
[tex](x-4.5)^2-20.25+(y-2.5)^2-6.25+3.5=0[/tex]
Rearrange into standard form:
[tex](x-4.5)^2+(y-2.5)^2=23[/tex]
Therefore, the circle has a center at (4.5, 2.5) and a radius of √23
You measure 20 dogs' weights, and find they have a mean weight of 41 ounces. Assume the population standard deviation is 11.9 ounces. Based on this, what is the maximal margin of error associated with a 99% confidence interval for the true population mean dog weight.
Give your answer as a decimal, to two places
Answer:
(34.15, 47.85)
Step-by-step explanation:
[tex]n = (\frac{z*stddev}{ME} )^{2}[/tex]
stddev = 11.9
z = invNorm(
area = (1 + confidence interval)/2
mean = 0
stddev = 1
)
= invNorm(
0.995
0
1
)
≈ 2.576
n = 20
square root both sides
[tex]\sqrt{20} = 2.576 * 11.9 / ME[/tex]
multiply both sides by ME, divide both sides by √20 to isolate ME
ME = 2.576 * 11.9/√20
≈ 6.85
interval = mean ± ME
= (41-6.85, 41+6.85)
= (34.15, 47.85)