Answer:
square feet
Step-by-step explanation:
1/2 a feet is the full square is half
Bette has a life insurance policy that will pay her family $40,000 per year if
she dies. Bette's insurance company expects that it would have to put
$2,500,000 into a bank account so that it could make the payments. What
does Bette's insurance company expect the interest rate to be?
Answer:
1.6%
Step-by-step explanation:
Solve for r
40,000=(2,500,000)(r/100)(1)
40,000=(25,000)r
r=40,000/25,000
r=1.6
Use the net as an aid to compute the surface area (rounded to the nearest integer) of the triangular pyramid with an equilateral triangle base.
A) 224 m2
B) 240 m2
C) 254 m2
D) 270 m2
Answer:
Correct answer is [tex]C)\ 254\ m^{2}[/tex]
Step-by-step explanation:
As per the given diagram, we know the following details:
Height of the triangular pyramid is 14m.
Side of base = 10m
Height of Triangular base = 8.7m
Formula for surface area of triangular pyramid:
[tex]\text{Area = Area of Triangular base + 3 }\times\text{Area of side triangle}[/tex]
(Triangular base is shown in the dotted lines in the question figure.
The other 3 triangles are the side triangles.)
We know that,
[tex]\text{Area of a triangle = }\dfrac{1}{2} \times \text{Base} \times \text{Height}[/tex]
[tex]\Rightarrow \text{Required Surface Area = } \dfrac{1}{2} \times 8.7 \times 10 + 3 \times \dfrac{1}{2} \times 14 \times 10\\\Rightarrow \dfrac{1}{2}\times (87 + 3 \times 140)\\\Rightarrow \dfrac{1}{2}\times (87 + 420)\\\Rightarrow \dfrac{1}{2} \times 507\\$\approx$ 254 m^{2}[/tex]
Hence correct answer is [tex]C)\ 254\ m^{2}[/tex].
The (average) sales price for single family property in Seattle and Port Townsend is tabulated below.
Year Seattle Port Townsend
1970 $38,000 $8,400
1990 $175,000 $168,400
Find a linear model relating the year x and the sales price y for a single family property in Seattle.
Answer:
[tex]y=6,850x - 13,456,500[/tex]
Step-by-step explanation:
To find the linear model, we need to find a linear equation, where its slope is defined as
[tex]m=\frac{y_{2} -y_{1} }{x_{2}-x_{1} }[/tex]
So, we use the given points (1970, 38000) and (1990, 175000), to find the slope
[tex]m=\frac{175,000-38,000}{1990-1970}=\frac{137,000}{20} =6,850[/tex]
Now, we use the point-slope formula to find the equation
[tex]y-y_{1} =m(x-x_{1} )\\y-38000=6850(x-1970)\\y=6850x-13,494,500+38,000\\y=6,850x - 13,456,500[/tex]
Therefore, the linear model is
[tex]y=6,850x - 13,456,500[/tex]
Two part-time employees share one full-time job. A girl works Mondays. Thursday, Wednesdays, and Fridays, and a boy works Tuesdays. The job pays an annual salary of $28,612. What annual salary does each employee earn?
The girls salary is______
Solve for a,b,and/or c
Help solve ASAP!
Answer:
a=90-67=23°
.................
Find the volume of a right circular cone that has a height of 12 cm and a base with a diameter of 18 cm.
Answer:1017.36 cm^3
Step-by-step explanation:
Diameter=18cm
Radius=r=18/2=9cm
Height=h=12cm
Volume of cone=1/3 x π x r^2 x h
Volume of cone=1/3 x 3.14 x 9^2 x 12
Volume of cone=1/3 3.14 x 9 x 9 x 12
Volume =(1x3.14x9x9x12) ➗ 3
Volume =3052.08 ➗ 3
Volume =1017.36
Volume of cone=1017.36 cm^3
-3b+7=13 solve for b
Answer:
b = -2
Step-by-step explanation:
Start with your given:
-3b + 7 = 13
Subtract 7 on both sides:
-3b = 6
Then, divide -3 on both sides and solve:
b = -2
Answer:
b = -2
Step-by-step explanation:
You start by subtracting the 7 on the left and move it to the other side. Then you have 6 on the right and -3b on the left. Then you divide the -3 on each side and that gives you b= -2.
Hope this helps.
Which of the following is a ray as shown in the drawing?
Answer:
DH
Step-by-step explanation:
this is just to comment to tell everyone this is multiple choice meaning it could be ad or ij togethe.
6th grade math ! Help me please :))
Answer to the perimeter
2 x (5 + 13)
Answer:
2 x (5+13)
Step-by-step explanation:
To find the perimeter of a rectangle you must add all the side lengths. For the rectangle that is displayed, there are 2 sides that measure 13 cm and two that measure 5 cm. Therefore, you should get your answer by adding the 5 cm and the 13 cm, then, multiply the solution by 2 to get your answer.
Which of the following are perfect squares? Check all that apply.
Answer: 16, 64, and 49
Step-by-step explanation: Perfect squares are products made by squaring or multiplying a whole number by itself twice.
11 is not a perfect square since nothing can
be multiplied by itself to give us 11.
The same is true for 62 and 15.
16 is a perfect square since it's possible to find a whole number that can be multiplied by itself to give us 16.
That number is 4 since 4 × 4 = 16.
64 is also one since 8 can be multiplied by itself twice to give us 64.
49 is also one since 7² or 7 × 7 is 49.
Answer:D,E and F
Step-by-step explanation:
Perfect squares are numbers in which their square roots are whole numbers.
From the options
√16 =4
√64 =8
√49 =7
Two forces are acting on an object at the same point. Determine the angle between the two forces. (-2,7) and (3,-1)
Answer:
It is 124 degrees.
Step-by-step explanation:
You square each coordinate like this:
sqrt(x^2+y^2 )
You will end up getting sqrt(53 and sqrt(10.
Then find the dot product which is -6+-7=-13.
Then cos^-1(-13/sqrt53*sqrt10)
=124 degrees
The table shows the number of cups of water required when cooking different amounts of rice.
Amount of
Rice
(cups) Amount of
Water
(cups)
2 5
3 7.5
5 12.5
8 20
Which statements apply to the ratio of rice and water? Choose two options.
The amount of rice is the dependent value.
The amount of water is the dependent value.
The amount of rice is the independent value.
The amount of water is the independent value.
The values cannot be labeled as dependent or independent without a given equation
Answer:
The amount of water is the dependent value.The amount of rice is the independent value.Step-by-step explanation:
The wording "the amount of water required for different amounts of rice" suggests that the "output" value of the table is the amount of water, and the "input" value is the amount of rice.
That makes "water" the dependent variable, and "rice" the independent variable.
The amount of water is the dependent value.
The amount of rice is the independent value.
Answer:
The amount of water is the dependent value.
The amount of rice is the independent value.
Step-by-step explanation:
find the value of p in the following equation: 6 * 2/4 = p * 1/4
Answer: [tex]p=12[/tex]
Step-by-step explanation:
[tex]6*\frac{2}{4}=p*\frac{1}{4}[/tex]
Solve the multiplication on the left side.
6 and 4 can be simplified.
6/2=3
4/2=2
Leaving it like;
[tex]3*\frac{2}{2}=p*\frac{1}{4}[/tex]
2 and 2 is 1 and 3 times 1 is 3.
[tex]3=p*\frac{1}{4}[/tex]
Multiply by 4 to eliminate the fraction and isolate p.
[tex]4*3=p*\frac{1}{4}*4\\12=p[/tex]
What's your real rate of return if your savings account pays 2.5% interest and inflation is at 1%?
A. 1.5%
B. 2.5%.
C. 3.5%
D. Can't calculate.
Answer:
Real rate of return = 1.5%
Step-by-step explanation:
Given:
Savings account return = 2.5%
Inflation rate = 1%
Find:
Real rate of return = ?
Computation:
⇒ Nominal rate of return = Real rate of return + Inflation rate
⇒ Real rate of return = Savings account return - Inflation rate
⇒ Real rate of return = 2.5% - 1%
⇒ Real rate of return = 1.5%
Write an equation that is parallel to the line y=3x-5 and passes through the point (-1,2)
A bookstore had 60 copies of a magazine. Yesterday, it sold 1/3 of them. Today, it sold 1/4 of what remained. How many copies does the bookstore have left?
Answer:
30
Step-by-step explanation:
1/3 of 60 is 20
40 would be left
1/4 of 40 is 10 so 30 would be left
what's the solution to the inequality 1 2/3 > r - 7/12
Answer:
r ≤ 2 1/4
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASEquality PropertiesRewriting FractionsStep-by-step explanation:
Step 1: Define
1 2/3 ≥ r - 7/12
Step 2: Solve for r
Rewrite: 5/3 ≥ r - 7/12Isolate r: 9/4 ≥ rRewrite: r ≤ 9/4Reduce: r ≤ 2 1/4Here we see that any number r less than or equal to 2 1/4 will work as a solution to the inequality.
What’s the correct answer for this?
Answer:
D: 8 and 2 and then 8 and 6.
Step-by-step explanation:
Corresponding angles are angles in the same position at an intersection of lines. For example, some of the corresponding angles in this picture are 1 and 7, and 8 and 2. Alternate interior angles are angles that are on the opposite sides of a transversal but are on the inner sides. For example, 8 and 6 and 7 and 5. If you look at all the options and use process of elimination, D will be the only possible answer. For A, 1 and 2 are not corresponding angles, as they are on opposite sides of the same line. For B, 4 and 6 are not alternate interior angles. They are vertical angles, congruent angles mirrored on the opposite side. For C, 7 and 2 are not corresponding angles, as they are not in the same relative position. Therefore, D is the only answer left. 8 and 2 are corresponding angles: they are both on the right side of the lines next to them. 8 and 6 are alternate interior angles, since they are on the opposite sides of the line, but on the inside.
A child is laying on the ground relaxing and looking up at a plane that is passing by. If the plane’s altitude is 33,500 feet and the child’s eyes are located 8,200 feet away from a point on the ground directly beneath the plane, what is the angle of elevation for the child’s line of sight to the plane?
Answer:
about 76.2°
Step-by-step explanation:
The geometry can be modeled by a right triangle with the given dimensions being the side opposite the angle (height = 33,500 ft) and the side adjacent to the angle (8,200 ft). The fact that you know these two sides suggests the inverse of the tangent function may be useful.
Tan = Opposite/Adjacent
tan(angle) = (33,500/8,200)
angle = arctan (335/82) ≈ 76.246°
The angle of elevation is about 76.2°.
Jason earned $54 at his job when he worked for 4 hours. What was his hourly pay rate in hours per dollar?
Answer:
$13.50
Step-by-step explanation:
$54 divided by 4 is $13.50.
PLS HELP ME!
Um doing venn digrams so u have to set one up for it to work... TWENTY POINTS
Answer:
Creating a diagram..
Step-by-step explanation:
Alrighty, I've made a diagram. I've even uploaded it so everyone can see how good at drawing I am (not)
a. 7 do not own anything.
b. the probability that someone owns a bone or a stick is 50%.
c. the probability that someone owns a rock and a bone is 14%.
d. the probability that someone owns at least 2 items is 42%.
e. the probability that someone owns only 1 of these items is 51%.
Please tell me if im wrong! im only a student .m.
50 POINTS!!!!!!! WILL MARK BRAINLIEST! NO COPY/PASTE! TWO TO THREE SENTENCES AND EXPLAIN! WILL REPORT STUPID ANSWERS! According to Nikita Khrushchev, Premier of the Soviet Union, which of the three events had the potential to advance Soviet interests the most? The three events are the Cuban Missile Crisis, The Space Race, and The Berlin Wall.
Answer: Soviet leader Nikita Khrushchev had gambled on sending the missiles to Cuba with the specific goal of increasing his nation's nuclear strike capability.
Step-by-step explanation:
The Soviet Union signed a treaty with Hitler, the U.S. kept the atomic bomb a secret, and the U.S. took a long time to attack Hitler. France, Britain, and the United States wanted to reunify Germany, so they combined their areas into West Germany. Soviets cut off transportation to West Berlin. This lead to the United States and Britain using the Berlin airlift to bring food/supplies into the isolated part of Soviet occupied West Berlin.Fifteen mothers were asked how many months old their babies were when they cut their first tooth. The results are shown below.
8, 8, 6, 8, 9, 10, 5, 7, 9, 5, 9, 7, 6, 8, 7
Find the range and the outlier(s), if any, of the data set.
12 divided by 9 tenths and hundredths
How to add or subtract this polynomial
Answer:
18x^2 + 9x - 5
Step-by-step explanation:
Combine like terms:
(9x^2-8) + (9x^2+9x+3)
= 9x^2 + 9x^2 + 9x - 8 + 3
= 18x^2 + 9x - 5
Trust me,I will give braineist. I swear to god.
Answer:
= 1696m^3
Step-by-step explanation:
V = πr²h
= 3.14 x 6 x 6 x 15
= 3.14 x 540
= 1695.6 m^3
= 1696m^3
OMG THIS QUESTION IS SO HARD WILL RATE IF U GET IT
These aren't too hard -- you should really try to do them yourself.
The upper triangle has base 2+2=4 and height 3.2. The lower one has base 4 and height 4. Of course the area of a triangle half base times height.
Area = (1/2) 4(3.2) + (1/2)(4)(4) = 2(7.2) = 14.4
Answer: 14.4 sq ft
Yuri computes the mean and standard deviation for the sample data set 12, 14, 9, and 21. He finds the mean is 14. His steps for finding the standard deviation are below.
s = StartRoot StartFraction (12 minus 14) squared + (14 minus 14) squared + (9 minus 14) squared + (21 minus 14) squared Over 4 EndFraction EndRoot. = StartRoot StartFraction negative 2 squared + 0 squared + negative 5 squared + 7 squared Over 4 EndFraction EndRoot. = StartRoot StartFraction 4 + 0 + 25 + 49 Over 4 EndFraction EndRoot. = StartRoot StartFraction 78 Over 4 EndFraction EndRoot. = StartRoot 19.5 EndRoot.
What is the first error he made in computing the standard deviation?
A. Yuri failed to find the difference between each data point and the mean.
B. Yuri divided by n instead of n -1.
C. Yuri did not subtract 9 - 14 correctly.
D. Yuri failed to square -2 correctly.
Answer:
B. Yuri divided by n instead of n-1
Step-by-step explanation:
It was stated in the question that the dataset was sample dataset. For a sample dataset, the standard deviation is given by the formula,
σ = √ Σ (Xi - mean)²/(n - 1) where i = 1,2,3.....n
Since this is just a sample dataset and not the whole population, Yuri should have divided by n-1 instead of n.
Answer:
B.
Step-by-step explanation:
(Here's Answers for the Quiz I did so far!)
1. Abby is collecting rainfall data.
Answer: B.
2. The Monthly Mean Salaries
Answer: A.
3. The Number of Cars at a Dealer Ship
Answer: A. (6.9)
4. The Mean Set of Credit Card Scores.
Answer: C. (720)
how are a common denominator and a common multiple alike and diferent
Answer:
To find a common denominator of two fractions, you have to find a number that both denominators of the given fractions will divide into. And to find a common multiple, you have to find a number that both given numbers will divide into.
Step-by-step explanation:
Answer:
To find a common denominator of two fractions, you have to find a number that both denominators of the given fractions will divide into. And to find a common multiple, you have to find a number that both given numbers will divide into.
Step-by-step explanation:
What percentage of students who take honors English are taking a non-honors math class?
Answer:
B
Step-by-step explanation:
Took quiz GL
Answer:
the answer is not B
Step-by-step explanation:
the answer is A I actually took the quiz